diff --git "a/data/dm_maths/full_data_1/11135_11255.jsonl" "b/data/dm_maths/full_data_1/11135_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11135_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let q(r) = 39*r**2 + 425*r - 11. What is the hundreds digit of q(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -236 - -545. Let a(v) = 121*v - 266. Let r be a(6). Let o = r - w. What are the prime factors of o?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26, -92, -200, -350, -542?\n\"Answer: -21*y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - -5. List the prime factors of w.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22226908 to the power of 1\/2, to the nearest integer?\nAnswer: 4715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nun when three letters picked without replacement from unixn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 108 + 12 = 0. Let o = w + 24. Suppose o = -2*p + 8*p - 12. Solve -2*v + q = p*q + 5, 4*v - 4*q = 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2, -4, -16, -34, -58, -88, -124?\n\"Answer: -3*d**2 + 3*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31.29 + 31. Let p = c + -2.11. Let v = p - -4.2. What is v rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1476833 and -0.1?\nAnswer: 1476832.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/78)\/(6\/(-78))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((594\/90)\/(-11)). Let h = -0.03 - -0.1. Let y = h - -2.93. Which is the nearest to 0? (a) y (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16817151, 16817160, 16817181, 16817220, 16817283?\nAnswer: 16817376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1699 = 1299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 569489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81 or -79?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -107, 5, 1, -586 in ascending order.\nAnswer: -586, -107, -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631225 is divided by 11271?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.99746 - -0.00254. Is -495 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1406 - 4481*h + 8965*h - 4485*h.\nAnswer: -h - 1406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/96*(-48)\/138?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**2 - 29*z + 12. Let p(g) = -g**2 - 7*g + 3. Determine 2*b(x) - 9*p(x).\nAnswer: -x**2 + 5*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1725 and 77\/369.\nAnswer: 212175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101679 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, r: 1, c: 2, p: 9}. What is prob of picking 2 p and 1 c?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 38?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 65 = -z, -c + 5*z = -3*c + 26. Suppose -v + 0 + 19 = -3*g, -v - 3*g = -1. Let k = v + c. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3672*z - 48026*z - 11615*z.\nAnswer: -55969*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 4*h**2 - 4*h**2)*(-31 - 8 - 5) + 4 - 4 + 2*h**2 + h**2 - 1 + 1 + (3*h - 4*h + 3*h)*(5*h + 2*h - 5*h).\nAnswer: 51*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c + 29. Let y be a(-15). Suppose -6*z = -y - 151. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 0.185676\nAnswer: -0.1114056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 1\/5, 0, 0.4, 53\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.050878 milligrams in kilograms?\nAnswer: 0.000004050878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482 is divided by 57.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - a452?\nAnswer: -a448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 255*v**2 - 13259*v - 56. Calculate b(52).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**3 + 2*s + 1. Let w = 688 + -689. Give o(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70605\/171 + (-8)\/(-76) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 11:32 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 4887295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 915 = -4*a + 949, -5*a + 2*g + 39 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((8\/2)\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 653 and 1312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5067*k - 44355 + 388911 for k.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 8:36 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 7:17 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18599.41 + -46646.08?\nAnswer: -65245.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12*-5)\/((-75)\/630).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -95 and -98115.\nAnswer: 9320925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2) + 3\/6*-2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 4294?\nAnswer: 30058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*p = 3, 5*n + 153*p - 151*p = -17. Sort 33, 36, n in descending order.\nAnswer: 36, 33, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 18459?\nAnswer: 18480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17725548 a multiple of 838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74 and 518.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8. Let l(d) be the first derivative of d**2\/2 + 33*d - 415. Determine -2*l(h) + 9*x(h).\nAnswer: -2*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 12*m + 17. Let g be z(-10). List the prime factors of 32 - ((g - -4) + 2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.19 + 0.2. Let u = 1.68 + 1.32. Put p, u, 3\/11 in descending order.\nAnswer: u, 3\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9069503 and 2?\nAnswer: 9069505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 3*s**2 + s**2)*(5*s + 2*s**2 - 5*s)*(-5 + 7 - 4)*(-12 + 51 - 22).\nAnswer: -136*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -2a7?\nAnswer: 2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = -2*b - p + 9, b - 22 = -4*p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sddoddodddddodso. Give prob of sequence ds.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -3 (c) -5 (d) -34 (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5242*d + 20835 = -1400*d + 325*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*f - 3*f = 20, 4*p + 20 = 3*f. Let r be (-24)\/(-60) - 88\/p. Calculate the highest common divisor of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*c - 15 = 0, 0 = 3*y - 4*c + 5. Let l = y - 2. Solve h + l = -1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -271*l + 1617. Let b be s(6). Let q(f) = -65*f. Let h(c) = 33*c. What is b*h(y) - 4*q(y)?\nAnswer: -37*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4495 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13920 and 1740.\nAnswer: 13920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -98. Let c = -540 - -660. What is the highest common factor of v and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 413094 and 5808.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1293*u**2. Let w(f) = 67*f**2 - 1. Calculate w(k(b)).\nAnswer: 112013883*b**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 3:52 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -642, -64, -5.\nAnswer: -642, -64, -6, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(8)\/sqrt(2) + (sqrt(196) - -2*sqrt(196)))\/(-3*(sqrt(288) + -1*sqrt(288) + sqrt(288))*1) + 5.\nAnswer: -sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 105\/(-18) + (-7)\/42. Let n(y) = 10. Let c(h) = -51. Let g(x) = -c(x) - 5*n(x). Let b(k) = -k + 6. What is t*g(l) + b(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 54*o + 9796. Let i be g(-184). Let x be (-1)\/2 - (-5)\/(-2). Sort -1, i, x in decreasing order.\nAnswer: -1, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1578 by -526.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.49 - 0.44. Suppose -4*d - d = 5. Which is smaller: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*n - 33. Suppose 5*x = -n*b, -x = -5*x - b. Let w(t) = -16*t - 82. Let i(d) = -7*d - 36. Let p(c) = 7*i(c) - 3*w(c). What is p(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07 + -5.07. Let k = 42 - 46. What is the second biggest value in -3, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-12)\/(-2 - 1). Let x(a) = 2*a**2 + 4. Let r(f) = f**2 + 4. Let h(l) = n*r(l) + 6*x(l). What is the first derivative of h(p) wrt p?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 10:52 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:24 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*t - 240 = -5*f, -160 = -2*f - 4*t. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69 - 68 - (-1 + 12)) + 5 + -7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34 + 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290669971?\nAnswer: 290669971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g**2 - 7*g + 10. Let f(h) = h**2 - h + 1. Suppose 3*t - 4*t = 4*v - 5, -3*v - 5*t + 8 = 0. Calculate v*w(j) - 6*f(j).\nAnswer: j**2 - j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**8\/1344 + l**7\/840 - l**6\/240 - l**5\/120 + l**4\/96 + l**3\/24 - 17*l**2. Solve j(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6325473 divided by 417\nAnswer: -15169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 6 - 6.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:30 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l - 1. Let f(y) = y - 1. Let t(w) = -2*w + 1. Let k(a) = f(a) + t(a). Suppose 0 = -14*n - 1925 + 1897. What is n*c(h) - 4*k(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10*p - 19. Let g be k(8). Suppose -3*l + 2*l + 4*r = g, l + 58 = r. Let s = 40 - l. Is s a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38487473 - 2*u**2 + 38487473.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-39))\/(1*(-1)\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -173 - -167. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4\/(-6 - 176\/(-28)) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.003 + -0.837. Let y = b - -2.03. What is y rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 12:34 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2159196 and 5460.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -14.3. What is the closest to 0.3 in 2\/5, 0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 + -181. Let q = -71 - s. Let r = 3.3 - 0.3. Which is the biggest value? (a) r (b) -4\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, n: 4}. Give prob of sequence nx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 h when four letters picked without replacement from hhhhuueelehv.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 4*n**2 - 2*n. Let s = 97 - 101. Let y be (30\/24)\/((-1)\/s). Give i(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19) + -3)*3.\nAnswer: -6 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 3*d - 3*d)*(-43*d + 230*d + 262*d)*(4*d + 2*d - 5*d) in the form c*d**2 + p*d + z + k*d**3 and give k.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 14.8?\nAnswer: 21.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000254629 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -3*d. Suppose 2 = -d*y + 34. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158050 is divided by 7929?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -162 + 82. Let g = n - -69. Which is the smallest value? (a) g (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (27 - (51 + -53)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317149?\nAnswer: 7, 45307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-7) + 279\/(-63). Let k = o + 19. What is the remainder when (-7)\/(0 - (-2)\/(-8)) is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*g + 611 = 0, u + 5*g = -4*u + 1615. Let a = u - 174. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 14 = 5*l + 26, 40 = -5*l - c. Let u be l\/(-3) - (0 + 2). What is m in 8\/3*m**2 + 10\/3*m + u*m**3 + 4\/3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171*u**3*w**3 + 8*u**3 + 3*u**2*w**3 + 21*u**2 + 2*u*w**2 wrt w?\nAnswer: 1026*u**3 + 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644*r - 8 + 5*r**2 - 2*r**2 - 9*r**2 + 9*r**2.\nAnswer: 3*r**2 + 644*r - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 5001*k**4\/4 - 297*k + 3190. What is the derivative of t(i) wrt i?\nAnswer: 15003*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 237193711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1808 divided by -2569\nAnswer: 1808\/2569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 427*b**3 + 641*b**2 - 641*b**2 + (2*b - 1 + 1)*(-1 - b**2 + 1) + 0*b**3 + b**3 + 0*b**3 - 5*b**3 + 4*b**3 + 3*b**3.\nAnswer: 428*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 206857 divided by 1019\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 159 = -3*q, 0 = 3*o - 4*q - 45 - 43. Suppose 5*a = o + 104. Let t = a - 55\/2. What is the second smallest value in -1, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -70 - -501?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77565979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 19 = 31. Let n(j) = 28 - 28 + s*j. Let k(o) = -3*o**2. Calculate k(n(r)).\nAnswer: -75*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89 + 109 + 142 - 391 + 3*b**2 to y*b + w + h*b**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = n - 8*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2744 + 2742. Which is the second smallest value? (a) 61.1 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297493753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003158 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436895.\nAnswer: 5, 59, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u**5 + 6157432*u**4\/3 + 1642112*u**3\/3 - 26271712*u**2\/3 - 6567968*u\/3 + 2189312 = 0. Calculate u.\nAnswer: -2, -2\/3, 2\/5, 2, 205248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -314 - -1167. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**2 - 8795291*q - 8795290 = 0.\nAnswer: -8795290, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16451 + 8142 + 8309 - 15110*y.\nAnswer: -15110*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 232*n**2. Let y(v) = 33*v**2. What is -4*i(k) + 29*y(k)?\nAnswer: 29*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*q + 0 - 2 + 77*q - 1 - 4.\nAnswer: -7*q - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/4 + 19*k**2\/2 + 217*k\/4 + 17.\nAnswer: -(k - 17)*(k + 4)*(3*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19600 divided by -4.\nAnswer: 4900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, 20, 58, 114, 194?\n\"Answer: g**3 + 19*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -247, -5, 1\/5, -2\/7, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (16 - (-10 + (6 - -36)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.3 (b) 1169\/4 (c) 0.4 (d) -4 (e) 7 (f) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3*-27718\nAnswer: -83154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 1. Let a be (-8)\/(-12) - (-52)\/12. Suppose -3*f - 12 = -2*s + f, -3*s = 4*f - 28. Calculate the least common multiple of s and l(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 4. Let z be p(4). Suppose z = q - 1 + 9. Let t = q + 16. Solve 0 = -3*i - i - t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3 = -2*p. Calculate the remainder when (26 - 3 - -4)*(2 - p) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2 + 33*h - 26. Give c(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 + 125*b**2 + 395*b + 12937. Determine k(-61).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-9))\/(1\/3). Let v = h + -2. Let a(g) = -19 + 2*g + 21 - 3*g. What is a(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*p, -5*f - p - 4*p = -4925. Suppose 4*l = x + 4446, l - 2*x - f = 121. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5014905, 10029854, 15044801, 20059746, 25074689?\nAnswer: 30089630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -13*n + 57. Let b be g(5). Is (-5)\/(-60)*-3 - 51594\/b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 108.03951 minutes?\nAnswer: 0.0750274375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2489315 or 2489314?\nAnswer: 2489314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 3*g**2 - 2*g - 9. Let w be v(-3). Sort -5, w, -11, 3.\nAnswer: -11, -5, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/7 not equal to -14.87388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 4 - 13 - (130 - 114).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 14*d**2. Let i(n) = -17*n**2. Determine i(j(u)).\nAnswer: -3332*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 181172 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2082776976?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63))**2 + 1 + -5 + sqrt(35)\/(sqrt(20)\/sqrt(256)) + -4.\nAnswer: 8*sqrt(7) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 5:58 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182856, -365715, -548596, -731511, -914472, -1097491, -1280580, -1463751?\nAnswer: -1647016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -49, -119, -243, -439, -725?\nAnswer: -1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 30*f + 3400 = 0. Round f to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -b - 8. Suppose 3*c + 10 = 4*a, b*c - 3*c = -5*a + 3. Let j be 2 + -1 - (-12)\/c. Which is bigger: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 24. What is the units digit of (148\/(-14))\/(q\/21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*sqrt(72) + 5)*2.\nAnswer: -216*sqrt(2) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -13. Let p = y - 20. Let r = p + 16.00056. Round r to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**4 + 5*k**4 + 4*k**2 - 2*k**4 - 4*k + 1 to x*k**4 + w*k + z*k**3 + i*k**2 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + (-1672)\/275)\/(2 + (-12)\/5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1765?\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2*s + 19 = 0, 7*j + 2*s + 4 = 89 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7445989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -240 + 356. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 + 2 + -3 + -320 + 327.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 814248 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -15. Let z(g) = g**3 + 12*g**2 - 13*g. Let t = 1 - 14. Let a be z(t). Solve -i + 3 - j = a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) - sqrt(187)*-2) + sqrt(187) + sqrt(187))*-1)\/(sqrt(11) + sqrt(891)*-1).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*t - 5*v - 116 = 136*t, 2*v + 36 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212460 is divided by 3923.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 43405760.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 o, and 1 e when three letters picked without replacement from uwuuobxeuweewuw.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3502 - 3502 - 76*y**2)*(0*y**2 - 2*y**3 + 0*y**2) + 2*y**5 - 2*y**5 - 3*y**5 + 3*y**5 + 0*y**5 - y**5.\nAnswer: 151*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1008*x**2 - 6*x - 45. Let a(o) = 505*o**2 - 4*o - 18. Determine 5*a(u) - 2*y(u).\nAnswer: 509*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/25, 1\/8, -0.2, -0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -16. Let r be (-48)\/24 + (5 - g). Sort -5, 10, -4, r in decreasing order.\nAnswer: 10, r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 29 - 12*a**2 + 4*a**2 - 29.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*l - 0. Let v be (10\/(-6))\/(1\/(-3)). Let b = v - l. What is the smallest common multiple of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) + sqrt(209)*3))\/sqrt(11) - (sqrt(76) + 1).\nAnswer: -5*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 14 + 4*z - 8 + 3 - z**2. Let n(d) = -2*d**2 + 8*d + 17. Let h(u) = 4*n(u) - 7*w(u). Determine h(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15246166 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3855*a - 38545. Calculate l(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*g - 16, 0 = -6*l + l - 4*g + 28. Suppose -l*h - 16 = 0, -64 = -3*x + 5*h - 8. Suppose -21*i = -x*i. Solve -5*s + i*s = -15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -18. Let l = 23 + -16. Solve -5 = b*i - l*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166329 divided by -3?\nAnswer: -55443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124 - -11. Let h = 200 - k. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, p: 1, n: 1, j: 2, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xox when three letters picked without replacement from {o: 6, x: 3, t: 4}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1011023?\nAnswer: 1011012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/3 + b**3\/3 + 10*b**2 - 32*b\/3 - 160\/3.\nAnswer: -(b - 4)**2*(b + 2)*(b + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87587634?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/39 (b) -1967\/186 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143 + -138. What is the biggest value in -4\/7, 1\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 4)*(-1 - 1 + 0)*(-10*x - 6*x + 8*x) to o*x + k and give o.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**2 - 13930*y - 9702245 = 0.\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -32*z - 4. Is x(-2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 13*k**2 + 6*k - 6. Let t(i) = 77*i**2 + 35*i - 35. Determine 35*d(a) - 6*t(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-248 - -245) + (0 - 34\/(-10))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31196?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.23 + 0.03. Let d = -2.8 + r. Let g be (-4)\/(-12)*3\/(-2). Which is the closest to 1? (a) d (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49945314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -630*m**3 + 503.\nAnswer: -1890*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 40999.206.\nAnswer: 81998.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 525842*v**2 + 7*v + 525841*v**2.\nAnswer: -v**2 + 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158434, 164023, 169614, 175207, 180802?\nAnswer: 186399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 times -34?\nAnswer: -1.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 119*g = 212 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-638)\/896 - 45\/105 and -127\/24.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 189665228, 379330457, 568995686, 758660915, 948326144?\n\"Answer: 189665229*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18673311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 4, p: 5}. Give prob of picking 1 r and 1 y.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u. Let b(h) = -h + 24. Give t(b(a)).\nAnswer: -a + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*b + 9. Suppose -2*h - 1255 + 4215 = 5*t, 0 = 2*t + b*h - 1195. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 29*o**2 + 254*o + 616.\nAnswer: (o + 4)*(o + 11)*(o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*d**3*r + 345*d**3 + 31*d*r**4 wrt r.\nAnswer: 11*d**3 + 124*d*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7bc9b (base 13) in base 9?\nAnswer: 374318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560713.\nAnswer: 73, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + -2. Let j = 89 - 140. Let l = 43 + j. Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 7*n + 8. Let g be -2 + (6 - 2) + -10. Let t be a(g). Suppose t*o = -o. Solve o*z + 10 = -2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6020669 is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -8.8. Let t = -1.7 + 2.7. Let a = t - h. What is a rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54252 - 38939 + 882 = 3829*n + 22561 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.223756 - 25.783.\nAnswer: -38.006756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 2. Let o be q(11). Let w be 3\/(-1) - (o + -11). Which is greater: w or -12\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**5 + g**3 + 7222*g**2 - 44862*g?\nAnswer: 60*g**3 + 6*g + 14444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23182285 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 2)*(3*s - 3 + 3) + 0*s + 2*s - s + 37*s - 40 + 27 + 6.\nAnswer: 41*s - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -5. Let s(n) be the first derivative of -14*n**2 - 3*n + 49. Is s(g) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -20970093.\nAnswer: -1\/20970093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -7 - (26 + 0 + -12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 5*v**2 - 2*v - 2. Let c(r) = 4*r + 20. Suppose 0 = -6*p + 5*p + 2. Suppose 0*x - 8 = p*x. Let g be c(x). Determine d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 0.103, 211324?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 226 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.46999992 - 0.47. What is w rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 6*t**2 - 2*t - 6. What is the lowest common multiple of q(5) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2535676264?\nAnswer: 2, 11, 421, 68443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g**2 - 18*g + 171?\nAnswer: -6*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/10*(-96)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39186*j**3*x**3 - 1700*j**2*x**2 - 2*j*x**3 wrt j?\nAnswer: -235116*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5819 (base 10) to base 6\nAnswer: -42535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (32\/(-3))\/4. Which is the nearest to f? (a) -3\/2 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -16. Calculate the highest common factor of 8 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*f + 269 + 194 = -112. Solve 5*u = -f*h - 10, 37 - 30 = -2*h - 5*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72588876105171 minus -0.4?\nAnswer: 72588876105171.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-414)\/(-24) + -6 - 3\/(-4). Suppose -2*f = -4*s + d, 3*f - 9 = 4*s - 7*s. Factor 0 + f*l + 3\/4*l**4 - 3\/2*l**2 + 3\/4*l**3.\nAnswer: 3*l**2*(l - 1)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = y + g + 6, 2*y + g = -3. Let i be 0\/2*(6 - (-11)\/y). Solve 4*u + 5 + 17 = -q, i = -3*q - 4*u - 26 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6 = -10, 4*n + k - 770 = 0. Let r = n - 40. Does 19 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*o + 34*o - 20*o + 35*o - 16*o to the form r + g*o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3 = 152. Let c = u + 37. Let p(i) = i**3 - 1. Let v(o) = -5*o**3 - 6*o**2 - 2*o + 10. Let f(w) = -6*p(w) - v(w). Give f(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((11 - 13 + 3)*(-4*x - 3*x + 5*x) + (x - 2*x + 0*x)*(-5 + 3 + 4))*(-3*x**3 + 2*x**3 + 5*x**3) in the form l*x + b + k*x**2 + f*x**3 + w*x**4 and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28407418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 739 - -450. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 583 - 583.5. Let l = -35\/52 - 1\/13. Which is the closest to 0.1? (a) l (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 - 47. Let b = 77 - d. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -499783 + 244893577\/490. Calculate the common denominator of d and -121\/2660.\nAnswer: 18620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*(-1 + 1 - x) + (0 + 3 - 2)*(52*x + 448*x - 136*x) to the form m + u*x and give u.\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -381*i - 1447. What is the units digit of b(-110)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2572456 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 2725.\nAnswer: 125350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(-110)*(-2)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 + -84. Solve -3*v = -i*c + 9, -v + 2*c = -4*v + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-8) + 0 + 4. Determine s, given that -27*s**3 + 7*s**4 - 38*s - w*s**4 - 6*s - 4*s + 72*s**2 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -18, -88, 2 in increasing order.\nAnswer: -88, -18, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 - 241. Let x(w) = 2*w + 46485717 - 46485717. What is x(a(d))?\nAnswer: 6*d**2 - 482","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114261 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -26.0000097. Round t to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 166 = 514*c - 510*c, h - 10*c + 285 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 352458 and 13054.\nAnswer: 352458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**5 - 10 + 10 + 10*x**5 - 522*x**3 + 522*x**3 + (0*x**2 - 2*x**4 + 0*x**2)*(x + x - 3*x).\nAnswer: 17*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90411175 is divided by 3259?\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 3*h + 1. Let g be u(-2). Suppose -g*o = -5*l + 37 + 3, 8 = l - 3*o. Calculate the greatest common divisor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5\/8 - 41*w**4\/8 + 369*w**3\/8 - 1215*w**2\/8 + 675*w\/4 = 0.\nAnswer: 0, 3, 5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + 10)\/(3624\/516 + -7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**7\/2100 - i**6\/450 - 16*i**3\/3 + 19. Let g(y) be the third derivative of v(y). Solve g(o) = 0 for o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**5\/60 + i**4\/6 - i**3\/6 + i**2. Let a be 14\/(-3) + 1\/(-3). Determine r(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*r + 58700 = 194*r. List the prime factors of r.\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 - 893*o\/2 + 6810.\nAnswer: -(o - 15)*(o + 908)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (sqrt(11) + sqrt(44)\/sqrt(4) + sqrt(11) + -4 - sqrt(11) - (sqrt(66)\/sqrt(6) + -2)**2) + 1).\nAnswer: -19 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9462 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 59 (b) -2 (c) 2\/5 (d) 4 (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - b = -43, -10*b = -k - 9*b + 21. Is k\/(-28) + 303485\/49 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 4:06 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33409*y**2 + 33409*y**2 + 40*y**4)*(-1 - 2 + 1 - 2 - 1 + 1 + (-1 + 0 + 0)*(-1 + 2 - 3) + 2 - 3 + 0 - 1 - 1 + 1)*(3 - 3 + 3).\nAnswer: -480*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m + 2. Let q(y) = 1. Let u be 5\/(-7) - (-8)\/(-28). Let i(d) = u*a(d) + 2*q(d). Let h(g) = -8*g. Calculate 5*h(w) - 14*i(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*a + 3*t, -4*a - 207*t = -202*t + 40. Let p(r) = r**2 + 23*r + 130. Determine p(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -52460, -52506, -52552, -52598, -52644?\n\"Answer: -46*f - 52414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86698375867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 212237390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/11 - 300\/7700)*4\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (208\/12)\/(12\/18). What is the highest common divisor of q and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 + 3 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77110?\nAnswer: 2, 5, 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**4 - 2*t**4 + 2*t**4 - 3*t**4 + t**4 + 5*t**4 + (6*t**4 - 3*t**4 - 2*t**4)*(3 - 1 + 1) + 5*t**4 - t**4 - 2*t**4 - t**3 - 2*t**4 + t**3.\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.929615 micrograms to kilograms.\nAnswer: 0.000000002929615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.163? (a) 5 (b) 3 (c) -0.4 (d) 67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66015 + -3?\nAnswer: 66012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 17065\nAnswer: 3\/17065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89985 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4 + 9 = 0, 0 = 5*b + p - 916. Does 21 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 14. Let f(v) = -v + 1. Let i(m) = m + 1. Determine h*i(k) - 2*f(k).\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**5 - 56*j**4 - 92*j**3 + 3232*j**2 - 1280*j - 51200 = 0 for j.\nAnswer: -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {y: 1, s: 1, h: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5 - b**3 + 0 + 4 + 12 - 8*b - 10*b**2. Let u be h(-9). Does 2 divide -1 - (-6)\/2 - (4 - u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + f + 18. Let m(h) = 4*h**2 + 209*h - 89. Determine -5*c(w) - m(w).\nAnswer: w**2 - 214*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 4 + 5)*((1 - 6 + 4)*(-4 - 4 + 5) - 1 - 3 + 2)*(233*i - 92*i + 52*i) as q + j*i and give j.\nAnswer: -772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -22. Let y = -53 + 54. Which is the nearest to y? (a) t (b) -3\/4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176283683.\nAnswer: 101, 181, 9643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14044527?\nAnswer: 3, 7, 31847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/2052882 and -14\/117.\nAnswer: 2052882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 44408.\nAnswer: 44407.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -33792.9 and 42534.\nAnswer: 8741.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, f: 1, u: 5, x: 1}. What is prob of picking 1 f and 2 t?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179207 is divided by 1236?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77578864523\/1090 + 71173265. Let l = -1\/218 - w. Find the common denominator of 125\/6 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14047430 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -447, -901, -1547, -2391, -3439, -4697, -6171?\nAnswer: -7867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152122 is divided by 76054?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 15. Let c be q(11). Suppose c = a - 0. Let o = a + -4. Put 5, o, -2 in increasing order.\nAnswer: -2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 34098*o - 1670793. What is n(49)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 65*r**2 + 1495*r + 5. What is u(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20008 and 1312?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y. Let s(u) = 114 + 982 + 16 - 2*u. Determine s(i(v)).\nAnswer: -6*v + 1112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*8.1.\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -5. Let s = -7.2 - p. Which is the closest to 0? (a) -2 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54759 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159 + 463. What is the units digit of 34\/1*l\/32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 62*d + 81. Let l be j(26). Let z = l - -847. Let y(n) = -n**2 - 10*n - 6. What is y(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.029955 and 4.6?\nAnswer: -0.137793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20395 times -0.052\nAnswer: -1060.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180960)\/(-2106) + (-14)\/(-189)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5 - 1. Let h(l) = -26*l + 177. What is the smallest common multiple of o and h(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*w - 9*w. Let y(t) = 0*t + 0*t + t**2 - 1. Let o be y(-3). Calculate the highest common factor of o and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - (10 - 21)) + (0 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111516 + 10236 = 556*d + 347*d + 26034 for d.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/10 and -67\/1420.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 167210759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/8 of a day?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6103181 (base 9) to base 13\nAnswer: -89a3ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**5\/2 + 198*d**4 - 5649*d**3 + 10512*d**2 + 247173*d\/2 + 107226 = 0.\nAnswer: -3, -1, 7, 37, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.368, 0.4, 1\/5?\nAnswer: -0.368","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-2 - m**3 + 2) + m**3 - 2*m**2 + 2*m**2 + (m**2 + 2*m**3 - m**2)*(164 + 120 + 122).\nAnswer: 811*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/2110 and -89\/81024?\nAnswer: 405120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374*l + 903 = 381*l. Let u = -619\/5 + l. What is the common denominator of u and -2 - 4\/8*-85?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 22, 9, -0.1, -0.013?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2028*a = 2026*a + 12, -4*m = -a + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14 - -0.1. Let l = 0.36 - i. Let k = -4 + 3.6. Which is the biggest value? (a) k (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6\/11)*n**(-1))**(-2)\/((n**(2\/7))**(1\/4)\/((n**8\/n)\/(n*n**(-6)))) assuming n is positive.\nAnswer: n**(2313\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.24 - 1.64. Let o = 1.9 + n. Which is the second biggest value? (a) 4\/3 (b) -2\/15 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1451957962?\nAnswer: 2, 7, 13, 349, 22859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88848 is divided by 42928.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 75. Let f = -29 + o. Which is smaller: -8\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 0.03 (c) 4 (d) 69 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -12. Let b = s - 8.3. Let x = 90 - 448\/5. Put b, 0.2, x in descending order.\nAnswer: x, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -101 (b) -0.2 (c) -3\/4 (d) 0.18 (e) 4 (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and ((-70)\/6 + 1)*36\/(-16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 11:48 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -2, -22, -72, -164, -310, -522?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1456 + 1459. Solve -3*u + 13*f = 14*f + 4, 0 = -v*u - 2*f - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 116 = m, -8 - 2 = 2*p. Let y = -6 + -46. Let l = y + m. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1153984*h - 10385876. Give v(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-12) + (-1634)\/(-3). Calculate the highest common divisor of j and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 7*g - 2. Calculate the lowest common multiple of 118 and (-4)\/(g - -6) - -23.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 15*n + 10*n - 32*n + 7*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 77775\/52 and 1496 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 5*r - 5. Let k be f(3). Let x = 0 - 3. Put x, -1, k in increasing order.\nAnswer: x, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171250 is divided by 1427.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n. Let w(a) = -3070715*a - 3. What is w(g(i))?\nAnswer: 9212145*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 9 = 36 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -bb795?\nAnswer: bb799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-3))\/(4\/6). Let y(f) = -f**3 + 5*f**2 + f - 5. Let x be y(p). Let n be x\/3 + (-399 - 1). Round n to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 58*m + 181. Is x(31) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 6. Let k be h(6). Suppose 0 = -4*d + 2 - k. Let o = -6 - d. Which is the third biggest value? (a) 3 (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-19 - -8) - (-1 + -14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 7. Suppose -5*n - 6*p + 795 = -11*p, 321 = 2*n - p. Suppose -n = -0*u - s*u. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1308 and 1483926.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3452130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**2 - 4*m - 1. Let s(h) = -3*h**2 - 4*h. Let z(c) = -4*i(c) + 5*s(c). Determine z(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -2*x**5\/5 - x**3\/2 + 3*x**2\/2 - 109*x. Let v(b) = -15*b**3 - 7*b + 7. Calculate 7*p(q) - 3*v(q).\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**6)\/(u*(u\/(u\/u**(-1\/2)*u*u))\/u*u*u*u*u)*(u**(2\/7))**(-32) assuming u is positive.\nAnswer: u**(-51\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239419175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9465 less than -359169?\nAnswer: -368634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -27*b**2 + 35*b - 11. Let c(d) = 13*d**2 - 18*d + 6. Let s(o) = 11*c(o) + 6*v(o). What is the second derivative of s(t) wrt t?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276134035.\nAnswer: 5, 349, 158243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1168)\/(-1460))\/((4\/(-5))\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tst when three letters picked without replacement from stst?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 517 - -bc?\nAnswer: 5d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 15\/(-7) + (-1)\/(-9*(-56)\/24624)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -623044 or -623042?\nAnswer: -623042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*m = 12. Suppose 5*z = 5*y + 55, 2*z - 5*y - 24 = -y. Suppose -2*v + z = -50. Solve -2*l - v = -2*w + m*l, -25 = -w + 5*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 4*v + 7. Let j be u(-5). Suppose -4*r - 4*w = -20, -7 = 2*r + 4*w - 23. Let d be 0\/r*(3 + -1)\/4. Solve d = 2*q + j*q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 102 = -258. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9556 by 2389.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 8. Let d be j(3). Which is the third smallest value? (a) -0.4 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5685420?\nAnswer: 2, 3, 5, 13, 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1900) + 0 + sqrt(1900) - (-1 + sqrt(1900) + sqrt(1900) + 1 + sqrt(1900))**2 - (sqrt(1900) - (sqrt(1900) - (1*sqrt(1900))**2))*3*-3.\nAnswer: 5 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*n = 640 + 4170. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 36*j**3 - 21*j**2 - 6*j. Let q(a) = 7*a**3 - 4*a**2 - a. Calculate -2*k(x) + 11*q(x).\nAnswer: 5*x**3 - 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + q - 7. Let w(x) = -10 - 2*x**3 + 5*x**3 + 2*x - 2*x**3. Suppose 0 = -8*a - 8*a + 41 + 39. Determine a*w(m) - 7*y(m).\nAnswer: -2*m**3 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 5*o**2 - 13*o - 41. Let n be u(-6). Let j be (0\/2)\/(0 - n). Solve -c + 2*v + 8 = j, 0*c - v + 2 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2726, -2696, -2666, -2636, -2606?\nAnswer: -2576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1110101010110001001 (base 2) to base 8\nAnswer: 1652611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.0565 - 0.0565. Let x = 0.3 + -0.2. Which is the nearest to x? (a) 3 (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192535 to the power of 1\/2, to the nearest integer?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8840, -783, 7274, 15331, 23388?\n\"Answer: 8057*n - 16897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -15 (b) -0.4 (c) -373 (d) 4 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2\/9 - 20*m\/9 - 50\/9 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 13*h + 1162*h**2 - 1163*h**2 - 5*h + (4*h**2 + 6*h**2 + 4*h**2)*(0 - 1 + 0) as y*h**2 + p*h + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from {m: 6, i: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34560 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38, -40, -44, -50, -58, -68?\n\"Answer: -g**2 + g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*u + 19 = 0, -4*n - 2*u = -6*u + 8. Suppose 2*y + 0*y - 4 = 0. Let s = y + -5. Which is the closest to s? (a) -2 (b) n (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4\/z**(-3\/5))\/((z*(z**(3\/28)*z)\/z*z)\/(z*z**(2\/93))) assuming z is positive.\nAnswer: z**(45757\/13020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*((-26)\/4)\/(7\/(-14)). Suppose 4*k - d = 50. Solve 0 = 4*z + 5*v + 4, 5*v = 4*z + v - k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 1149*s**5\/20 + s**4\/4 + 99*s**2\/2 - 467*s. Find the third derivative of o(g) wrt g.\nAnswer: 6894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-29 - (-6 + 5). Let p = -8 - c. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*l = -24, -3*l + 11 = 3*o - 7. Let a be (0 - 0)\/((-2)\/1). Let w = a + o. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w - 6. Let x(r) = -r - 1. Suppose 4*t = 85 + 459. Let b = t - 130. Determine b*x(n) - l(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3176.9 rounded to the nearest one hundred?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**5 - 92*x**3 + 85*x**2.\nAnswer: 120*x**2 - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2112\/(-77) + 3429\/127.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 - 3*g + 19. Let w be p(-6). Let s = w + 39. Suppose -2*z + 256 = 2*n - 4*z, -s*z = 3*n - 370. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -292, -599, -906, -1213, -1520, -1827?\n\"Answer: -307*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 891.9269 milligrams?\nAnswer: 0.0008919269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 7*q - 534. Determine v(15).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.41 - -13.5584. What is p rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 318 and 424?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 40*b**2 - 311*b - 1192. What is d(25)?\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04562253 less than -0.2179?\nAnswer: -0.26352253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 107676607*f**2 + 43208005 wrt f?\nAnswer: 215353214*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2640765822?\nAnswer: 2, 3, 17, 1522933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8176.1 at most as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q - 8 = 0. Let s be (4 - q)*6\/4. Factor -5*j - 2*j**2 + j + 1 - s.\nAnswer: -2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.963 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 14*s**2 + 16*s - 9. Let y be b(15). Suppose 0 = 6*w - 924 - y. What are the prime factors of w?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 1. Let f = 3.2 + -2.9. What is the smallest value in -3, f, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j - 756 + 416 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (38 + -5)\/((4 + -3)*1) - -9\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*u - 370 = 273*u - 2405 - 5698 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-2)\/(-4) - (44 + -46). Let r(s) be the first derivative of 0*s + 7\/3*s**3 - 10 - w*s**2. What is the second derivative of r(c) wrt c?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21540\/11 + -107678\/55. Let m be 0 - (1 - (-1 + 2)). Determine s so that m + u*s**3 - 4\/5*s**2 + 2\/5*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111212 * -0.7\nAnswer: 77848.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1733 + -131?\nAnswer: -2064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.08 - -1.28. Suppose 0 = -w + 4*w + 3. Let n = -0.3 + -0.2. Which is the closest to w? (a) n (b) -2\/9 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 12*r = -4*d + 14*r - 30, 0 = 10*d + 3*r - 5*r + 38 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 10*i**3\/3 - 3*i - 9526. Let a(u) be the third derivative of -11*u**5\/60 + 2*u**3\/3 - 2*u**2. Determine 5*a(g) + 6*w(g).\nAnswer: 5*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19058 divided by -2?\nAnswer: 9529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) - (-44)\/8. Let o = k - 1. Let v be ((-6)\/(-10))\/((-1)\/(-5)). Solve 4*h - f - o = 0, -v*f - 8 = -3*h - f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 10. Let l be m + 6*(-1)\/(-2). Factor -4*d**2 - d**2 - 3*d - 2 + l*d**2 + 0*d**2.\nAnswer: -(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29693 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(468) - (sqrt(468) + sqrt(468)*-2)))**2*-6.\nAnswer: -280800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(75\/(-35))*396\/(-378)\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23354 - 431534?\nAnswer: -455332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 - 96 - 5*i**4 + 96 + (-2*i**4 + i**4 - i**4)*(-2 - 1 + 2) + 0*i**4 - i**4 + 3*i**4.\nAnswer: -i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**13*v*v**(9\/2)\/v)\/(v**(-1\/46)*v\/(v*v**(-19)*v)))**(-40) assuming v is positive.\nAnswer: v**(-480\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*x**2 + 39*x + 4*x**2 - 29*x**2 wrt x?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*h**3 - 231 + h**2 + 112 - 4*h**2 + 3*h + 121 + 34*h**3 as y*h**3 + o + d*h + s*h**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11*f. Let d be 52\/4 + 342\/(-27). Let w(c) be the first derivative of -d*c**3 + 0*c**2 + 12 + 0*c. Calculate h(w(i)).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)\/sqrt(81))\/sqrt(6) + (sqrt(70)\/sqrt(160)*-6)**2.\nAnswer: sqrt(7)\/3 + 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**3 + 18*d**2 + 20*d + 20. Let g(i) = i**3 + 6*i**2 + 7*i + 7. Let r(s) = -17*g(s) + 6*n(s). Let q be r(-6). Let h(x) = x + 6. Determine h(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324877871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + m = -1329 - 402, 1388 = -4*p - 4*m. Let w = 608 + p. Let r = w + -165. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1101, -900, -581, -144, 411?\n\"Answer: 59*n**2 + 24*n - 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 799 = -4*q + 3*g, -5*g + 196 = -q - 3*g. Let a = q + 89. Let k = a - -159. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 193, 294, 397?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.2 - -5.3. Let f = k - -3.9. What is the nearest to f in 0.4, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 4*k - k**2 - 6*k)*(7373*k - 35114*k - 30659*k + (0*k + 2*k - 4*k)*(1 - 2 + 2)) to w*k + v*k**3 + t + z*k**2 and give v.\nAnswer: 58402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 5275145*t + 5275150.\nAnswer: -5*(t - 1055030)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -491621 or -491630?\nAnswer: -491621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 1:35 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1445834.\nAnswer: 2, 13, 55609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 4\/3 (c) 44\/7 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d - 74. Let z be i(-12). Let s be (-1 - (41 - 0)) + z + 0. Let g = 33 - s. List the prime factors of g.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379321 is divided by 79?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.295 - 1.595. Which is the nearest to w? (a) 7 (b) 0.1 (c) 3\/7 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 36*c + 35*c + 8 = 0, 3*o - 34 = 4*c. Suppose 0 = -2*p - w - 2*w - 3, -18 = -5*p + w. What is the smallest common multiple of o and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*(-13250)\/1060\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/76 or -1?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512*m = 485*m + 27. Let h = 31 - 32.3. Which is the nearest to 0? (a) m (b) -2\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from hsnqmmwssmn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871 is divided by 302?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45791, -45804, -45831, -45878, -45951?\nAnswer: -46056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -3*c**4\/2 - 287*c**2\/2 + 3457*c + 5272. Differentiate y(z) wrt z.\nAnswer: -18*z**2 - 287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*j - 27*j. Let c(k) be the second derivative of 0 + 0*k**3 - 1\/30*k**6 + k**2 + 4*k + 0*k**4 + j*k**5. Differentiate c(u) wrt u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/5 - 673174*o\/5 + 113290808569\/5 = 0. Calculate o.\nAnswer: 336587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 8*b - 11. Determine m(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 5, 12, -379?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w - 34*w + 5*o = 15, 29*o = 4*w + 87 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2246.\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/7)\/(-3)*26\/2. Let f(z) = z + 14. Let m be f(j). Let s(p) = 5*p**2 + 5*p. Let x(l) = -l**2 + l. Give m*s(w) - 5*x(w).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67 - 154ab?\nAnswer: -15444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) -0.07 (b) 2\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/154 - 21\/((-7623)\/132))*(-14)\/(-16)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*f**2*h**3 - 2345*f**2 + 27587*f*h**3 - h**3 + 5*h**2 wrt f?\nAnswer: -54*h**3 - 4690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*x**4 - 3*x**3 - 3219*x**2 - 11*x + 17672593 wrt x?\nAnswer: 72*x**3 - 9*x**2 - 6438*x - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/(6\/(-72)). Suppose -m*h + 8*h = 16. Solve -2*j = -10, -2*y + h*y = -2*j + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 3:01 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) -3\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5)*(9 + -20 + 6). Let k = -3 + 4. Let u be (-6 - k - l)*-1. What is the third biggest value in -3, -0.1, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77491149?\nAnswer: 3, 25830383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 619? (a) 12 (b) 2\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45177 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (8 + -7 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**7\/840 + a**6\/72 + a**5\/15 - a**4\/3 + 2*a**3\/3 + 16. Let l(d) be the third derivative of j(d). What is l(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9d - -1905?\nAnswer: 19a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 55*i**2 + 62*i + 307. Calculate l(-56).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -0.5, -0.2, -2\/3, -504?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1323 + -1321. Let d(h) be the first derivative of -1\/18*h**4 - 2\/45*h**5 + 5\/9*h**2 + 4\/9*h + 2\/9*h**3 + p. Solve d(l) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-44)*38\/57.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 3*u = 456. Suppose -4*m = 4*z - 72, 5*z - u = -4*m - 24. Suppose -81 - 25 = -2*d. Calculate the remainder when d is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27434620*n**3*s + 17557495*n**2 + n*s wrt n?\nAnswer: -164607720*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q - 10 + 109. Calculate the remainder when -2 + -1 - (-35 - -2) is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9485*b**3*t**3 + 3*b**3*t - 29*b*t**3 - 4*b + 39*t**3 wrt b.\nAnswer: -56910*b*t**3 + 18*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 w when four letters picked without replacement from {p: 1, t: 1, a: 2, g: 1, w: 1, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1403 + -1402. Which is the nearest to 0.024? (a) j (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 14*c = -3. Let h(n) = -3*n - 9. Let q be h(c). Is q < 3\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -7*v + 0*v**2 + 1\/2*v**3 + 0. Let a(g) = -4*g**2 - 3*g**2 + 5*g**2 + g**2. Determine a(i(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/3 + 822908*d\/3 + 84647197058\/3 = 0. Calculate d.\nAnswer: -205727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -1.3. Let j be (((-3)\/(-2))\/((-2)\/(-4)))\/(-7). Let p be 3\/(-6)*2\/(-2). Which is the nearest to p? (a) k (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 16) to base 14\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**4 - 2*v**4 - v**4)*(899 - 9996 + 5150).\nAnswer: 11841*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 - -677\/5. Which is the third biggest value? (a) m (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/639 (b) -1\/12 (c) 4\/5 (d) -5 (e) 3\/7 (f) -10 (g) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*m**2 - m**2 + 38*m**3 - 10*m**3 - 30*m + 117*m wrt m.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2 + 4. Let m be -203 - (b + (-3 - -3)). Let i = m - -532. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**2\/2 - 4*n - 1. Let s(y) = -y + 1. Let m be s(-2). Suppose 0 = -5*l, -2*z + m*z - l + 4 = 0. Calculate g(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-6)*i)**(38\/3)*i*i**17*i*i**(-21\/2) assuming i is positive.\nAnswer: i**(-253\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 8*j + 10. Let n be d(7). Let h(z) = -2*z + 21*z - 14 - 11*z. Let b be h(3). Solve -4*u + 34 = -4*f + b, 0 = -n*f - 4*u + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9 - 47 = 0. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(-4*sqrt(605)) + 6*(-5 + sqrt(2) + -3 - sqrt(2)).\nAnswer: -48 - sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 203*x + 17. Let i be l(5). Suppose 3*t = i + 264. Calculate the highest common divisor of t and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/13 in 4, 5, -2\/5, -1\/8, 497?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 4*h. Let z be 4 + -2 + -2 - (33 + -31). Let y be -1 + (3 - -1) + 1. Let r be (-2)\/1 + y - z. Calculate d(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k - 6 = 0. Suppose 3*p = -t + 24, -k*p + 10 = -2*p + t. Let x(b) = 3*b - 6. What is x(p)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1214*l**2 + 2084*l + 5. Let k(z) = -2*z**2 - 2*z + 1. Let u(d) = c(d) - 5*k(d). What is the second derivative of u(r) wrt r?\nAnswer: -2408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 1, f: 1, r: 2, h: 2}. What is prob of picking 1 i, 1 p, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 5*b. Let u be v(-5). Suppose -3*a = -u*a - 6. What is the second derivative of 4*n**2 + 2*n**2 - n**2 - 3*n**a - 3*n wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*w = -6*w + 17, 0 = 2*t + 5*w - 22. Solve -7 - t = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 42, 44, 46?\n\"Answer: 2*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185724 is divided by 2579.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 124547732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.55523084 to 2 dps.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 25, a + 5*q + 28 = 11. Calculate the highest common factor of 32 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1107*b**3 + 2445*b**2 - 474*b + 24 = 0. Calculate b.\nAnswer: 4\/41, 1\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 672 + -452. Suppose -9*l + 5*l = -g. What are the prime factors of l?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297956.2952 rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 52.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 11*c - 3. Let d(l) = 44*l - 11. Let i(g) = 3*d(g) - 11*y(g). Let f(n) = -25005567*n + 25005567*n - 3*n**2. Give f(i(z)).\nAnswer: -363*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-3)*(-1 - (-21)\/(-6)). Let l be (40\/42 + p\/(-9))*1. What is the second biggest value in 0.5, l, 4, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 422 = -122. Is 1\/(j\/57 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -9, -41, -107, -219, -389, -629?\nAnswer: -951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j**2 + 7*j - 8. Let q(z) = -7*z**2 - 6*z + 7. Suppose -17*k + 22*k - 30 = 0. What is k*q(s) + 5*v(s)?\nAnswer: -7*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -339 - -3061\/9. Let t = j + -23\/45. Factor -t*l + 3\/5*l**2 - 6\/5.\nAnswer: 3*(l - 2)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12016 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4, -14*q + 3*i = -16*q - 6. What is the least common multiple of q and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1415 - -1419. Factor -5\/3*u**3 + 5\/6*u**w + 5\/3*u**2 - 5\/6*u + 1\/6 - 1\/6*u**5.\nAnswer: -(u - 1)**5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 293871.194 + 38723\nAnswer: 332594.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b. Let y = -5 + 14. Suppose b*c - y = -3*c. Sort -3, -2, c in descending order.\nAnswer: c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37063*h**3*q - 128*h**3 + 3*h**2*q + 1632*h*q + 2*h - 104*q - 1 wrt h?\nAnswer: 222378*h*q - 768*h + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*o + 52*o - 2*a + 4570, -5*o - 5*a + 22835 = 0. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/507*(-186147)\/222?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6941 + -6945. Which is the second biggest value? (a) -2\/5 (b) o (c) -1.8 (d) -9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 285573654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.126 - 0.074. Let q = 0.3 - u. Sort -4, q, 1\/3.\nAnswer: -4, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54, -69, -84, -99, -114, -129?\n\"Answer: -15*h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1428 = 43*f + 8*f. Let y = 508 - 158. Calculate the greatest common factor of y and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -353 + -87. Round s to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19576 = -394*s - 16*s - 2974 for s.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 631 - 629. Sort -7\/4, z, 1, 3.\nAnswer: -7\/4, 1, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 388*f**2. Let a(i) = 143*i**2 - 2*i. What is a(s(n))?\nAnswer: 21527792*n**4 - 776*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6055299360 + 622*h + 6055299360.\nAnswer: 622*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -142071 to the nearest one hundred.\nAnswer: -142100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -31.01. Let j = 1.1 - r. Let n = j + -0.29. Is n at least as big as -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-40)*(-2)\/(-15)*-5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*g + 508*g - 5*q + 46 = 0, -5*g = -0*g - q - 0*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhvhhhhhhvhhvvvv. What is prob of picking 3 v?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1798017 (base 11) to base 10.\nAnswer: 3041353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21571 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 27, 24, 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i + 2. Let q(k) = 2*k + 4. Calculate 6*q(r) - 13*v(r).\nAnswer: -14*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -167 + 185. Is (-1 - (-22)\/j) + (-58808)\/(-72) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - 1*(0 + 2). Find the second derivative of 4*w + 3*w**3 + w + 2*w**3 - q*w**3 wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*j**2 + 124 + 18*j - 72*j**2 - j**3 + 16*j**2 + 25*j**2 as f*j + o*j**3 + c*j**2 + p and give p.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -0.6. Let y = -1457 + 1456. Let w = -33\/91 + 1\/13. What is the closest to w in x, 3, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.11 - 3.89. Let z = 5 - 8.9. Let s = m - z. Which is the biggest value? (a) s (b) -2\/11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (0 - 2)) + -6 + 12. Solve r*d + 0*d + 7 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -10\/21 (c) 120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 6*y + 371. Let b be j(22). Solve 1 = b*l - 16*l - r, -2*l = 2*r + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 24\/80*-24)\/((-4)\/(-10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182239069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -399 - -429. Does 30 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -5*y - 2, 37*g = 88*g - 23*g - 29*g + 3*y + 2*y + 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 3023.\nAnswer: -26\/3023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, f: 2, t: 4}. What is prob of sequence fft?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + d - 7, -w - 10 = -3*d. Let x = 2.5 + -4.1. Let b = -0.6 - x. What is the closest to -1\/4 in w, b, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 141380 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + 0 + 5 + -2)*-6 + ((-2*(sqrt(12) - sqrt(432)))\/(1*sqrt(294)))**2.\nAnswer: -48*sqrt(2) - 682\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*f - 18*f + 2992 = -29*f for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220011001 - 0?\nAnswer: -1220011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14*j - 7. Let w(n) = 7*n - 3. Let i(s) = 3*f(s) - 7*w(s). Let b(q) be the first derivative of q**3\/3 + 316. Calculate b(i(r)).\nAnswer: 49*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1551 or -1687?\nAnswer: -1687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69744662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 8*d - 13. Let z(g) = g - 1. Give -q(w) + 6*z(w).\nAnswer: 2*w**2 - 2*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-80)\/32 + 39\/14. Let f be 4 + 8 + -1 + 0. Let u(k) = k**3 - 11*k**2 - k + 14. Let n be u(f). Which is bigger: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30014 and 152.\nAnswer: 30166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27763 - 27765. Let x(j) = -70*j. Calculate x(q).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*h + 2)*(2 - 3 + 3 + 3 + 0 - 1 + (0 + 1 + 0)*(1 + 0 - 2) + 2 + 1 - 4 - 17 + 3 + 10).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -163, -397, -631, -865, -1099, -1333?\n\"Answer: -234*w + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0415 - 10.9585. What is the third smallest value in 1, -0.1, 2\/9, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853053.\nAnswer: 3, 181, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 104.\nAnswer: -7\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7327 divided by -14.\nAnswer: 7327\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suusuusuuuusuuuuuuu. Give prob of picking 1 u and 2 s.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*h - 26184, 968*h - 971*h + 26168 = 2*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 4, 36 in decreasing order.\nAnswer: 36, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 286512 and 870204.\nAnswer: 163598352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-16)\/(-8)) - 4666*-13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from cccddcjscccjcsjsdcc.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3209965.9 to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 10:40 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, -2, -139, -330, -575?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4\/9, 1\/2, -1\/113, -1, -3 in decreasing order.\nAnswer: 7, 1\/2, 4\/9, -1\/113, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, -10, 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77.08 + -891.54. Round g to the nearest ten.\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0169 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/25))\/(z*((z*z**(-16)*z)\/z)\/z) assuming z is positive.\nAnswer: z**(398\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2586, -3312, -4038, -4764, -5490?\n\"Answer: -726*i - 1860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 + -115. Let c be ((-3)\/(-9))\/(58\/w). Is c <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*c + 16, 0*h = 4*h + 2*c - 8. Suppose z = 2*z - 5*w - 8, 2*z - h*w - 23 = 0. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -81. Let u = f - 23. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30260 and 119275842?\nAnswer: 1192758420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22, -3, 1, 4, 0.1?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 9 = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7675*c + 88 = -7653*c. Sort -225, -5, c, -2 in descending order.\nAnswer: c, -2, -5, -225","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 2. Let d be u(-5). Let l be 1*-3*12\/(-18). Suppose l*o = 6 + 2. Solve 0 = o*b - 23 + d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005183089 rounded to 7 dps?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 + 15*s**4 + 240*s**3 - 2400*s**2 + 7680*s - 8448 = 0.\nAnswer: -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8467, -27, 6?\nAnswer: 8467","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = t + 11, 4*r - 3*t - 2*t = 11. Solve -r*o - 17 = -1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**19*t*t**(-14\/5)*t)\/((t\/t**(-1\/17))\/t)**(10\/3) assuming t is positive.\nAnswer: t**(4591\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/2)*(k*k**5)\/k*(k*k\/(k*k**2))\/(k\/k**(-3\/2))*(((((k\/(k**(-3\/5)*k))\/k)\/k)\/k)\/k*(k*k**(-2\/3))\/k)\/(k*k**2*k**(-1)\/k) assuming k is positive.\nAnswer: k**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195997, 195945, 195837, 195667, 195429?\nAnswer: 195117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9921649 meters to millimeters.\nAnswer: 992.1649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-1 - (-2 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -17*n + 6. What is the remainder when 43 is divided by s(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**2 - 2*v + 17298. Give x(-59).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109328548.\nAnswer: 2, 7, 3904591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 37703685.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532289.5l to millilitres.\nAnswer: 532289500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*s - 952, 5*s - 4*x - 1149 = -8*x. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6536.99 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1890 - -2930. Suppose -4*v + 4*g = -j, -2*v - g = -4*v + 515. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 4. Let g be h(3). Let a = -2595 - -5195\/2. Put -17, g, -1\/3, a in increasing order.\nAnswer: -17, g, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylglllglyglyglyl. What is prob of sequence ylgl?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 4*u + 3. Determine x(7).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*y + 77*y - 144. Which is the third smallest value? (a) y (b) -6 (c) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*z**3 - 110682*z**2 + 306273696*z - 61250312.\nAnswer: 2*(z - 5534)**2*(5*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 6 + 0*p + 19\/20*p**5 + 0*p**3 - p**2 + 0*p**4. Let v(y) = -3*y. Determine v(d(n)).\nAnswer: -171*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9688 - 99496 = -4711*i + 56233 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 1\/12*c**4 + 1\/4*c**5 + 0*c**3 + 0 - 3*c + 0*c**2. Give p(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**7\/2520 - q**6\/720 - q**5\/10 + 11*q**4\/24 - 9*q**2. Let f(l) be the second derivative of p(l). Does 9 divide f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 62428571.1s?\nAnswer: 103.22184375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3484 - 220280*h - 3484.\nAnswer: -220280*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/8 - (-4611)\/3132. Which is the fourth smallest value? (a) -19.82 (b) 2 (c) u (d) 5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)\/(sqrt(9)*-2))\/(-2*sqrt(864)).\nAnswer: sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**1\/x)**(2\/99)\/(x\/((x**(3\/8)\/x)\/x)*x*x\/(x\/x**(-6\/19))*x*x))**(-25) assuming x is positive.\nAnswer: x**(1982125\/15048)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -7, -1, 7, 17, 29, 43?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.15 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 8*t + 11. Let y be l(5). Calculate the common denominator of y\/10 - 3787\/420 and -53\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 1\/97937?\nAnswer: 1\/97937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -20066897.9 to the nearest one thousand.\nAnswer: -20067000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3047*u**2 - 149*u + 36*u + 113*u + 2671*u**2.\nAnswer: 5718*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*u**3 - u**2 - 37*u - 2 + 8*u - 2*u**4 + 3 + 28*u in the form c*u**3 + v*u**2 + h*u + p + z*u**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 4*y + 75, -4*r - 99 = -173*y + 178*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -19. Suppose 0 = -15*c - s*c + 3542. Is c a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 263 - 263 + 206*m to d*m + r and give d.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + (5 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000735218857 to 5 dps.\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -212*97092\nAnswer: -20583504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 7*b + 4*b + 36 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4278.1 + -4013. Let x = 265 - u. Which is the biggest value? (a) 1\/4 (b) x (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 237*w**2 + 162174*w - 816795.\nAnswer: 3*(w - 5)*(79*w + 54453)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-87)\/(-8874))\/(3\/(-24))\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3257624 decades to centuries.\nAnswer: 0.03257624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l - 4*t - 4, 3*l - 6 = -3*t. Does 11 divide (44\/8)\/(1\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(275) + sqrt(275)*2 + -2 + 2 + sqrt(275)*3)*-2)**2.\nAnswer: 39596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 13*g - 9 = 0. Suppose 2 = 5*d - 2*o, -4*o = -5*d - g*o + 1. Suppose 4*j - 2*j + 3*a - 58 = d, 116 = 4*j - a. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ea (base 15) to base 9\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 405 - -47163?\nAnswer: 47570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39107?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6289159746?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 466709.0057 - 466612. Let r = 97 - j. Let v = r - -0.00569743. Round v to seven decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(57 - (22 - 9)). Calculate the greatest common factor of 209 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 11*c**5\/6 + 1699*c**4\/3 - 133388*c**3 + 2751269*c**2\/3 - 493619*c\/6 = 0?\nAnswer: -467, 0, 1\/11, 7, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 21*r + 79, -4*r + 61*q + 56 = 31*q - 52 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 - -70. Differentiate 19 - 16 + r*w**4 + w**4 with respect to w.\nAnswer: 68*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1220020120 (base 3) to base 14\nAnswer: -d884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23*(-2)\/30 + 7\/(-35).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000017322515 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3385 is divided by 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 286 = -2*w - 119, 5*s + 4*w - 279 = 0. Let q = -38 + s. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/37301 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**5\/20 + y**4\/12 - y**3\/3 + 137*y**2\/2 - 10*y. Let n be a(0). Suppose -74 = -h + n. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-492))\/(3\/(-12)). Let u = s + 857\/246. Let f = u + -4. Is f != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*q - 2 + 35*q**3 + 226*q.\nAnswer: 35*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -723*i + 362. Let s(r) = 5*r**2 + 3614*r - 1811. Let u(y) = -11*b(y) - 2*s(y). Suppose u(g) = 0. What is g?\nAnswer: 1\/2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - j. Let r be a(-1). Suppose d = -r*d - 9, 4*b = -5*d - 15. Solve b = 3*m - 0*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.266?\nAnswer: 0.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -2*z**3\/3 - 9*z**2 - 17*z - 2114. What is l(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 + -2 + (-2 + 3 - -21)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 42*a**2 - 2. Let b be d(-1). What is the greatest common factor of b and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Suppose -3*g = -g. Suppose 0 = 4*r + 4*a - 8, g = 6*r - r - 5*a - 10. Do z and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-35) + 4\/14. Suppose u = 3*o - 26 - 34. Solve -3*m = 2*m + o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1914624.27 nanoseconds in days?\nAnswer: 0.000000022160003125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 70 = 5*w. Let m be ((-8)\/w)\/((-6)\/(-21)). Suppose 0 = -2*q + 4*p - 6, 9 = -m*q + q + 5*p. Which is smaller: 2\/21 or q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1 - (1 - -6)) + 111 + -139 + 76.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 4*w + 5. Let v be n(-6). Let c = v + 15. Let u = 19 + -16. Solve 0 = -y - h - c, -y - 3 = u*h + 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (6 + -2) - 2) + -10 + 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/8)*c**(1\/10))**(-42) assuming c is positive.\nAnswer: c**(-399\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 6. Let w(m) = -1. Let g(k) = -v(k) - 6*w(k). Let i(r) = -50*r - 110. Let c(y) = -7*y - 15. Let q(o) = -44*c(o) + 6*i(o). Give q(g(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssi when three letters picked without replacement from ssssisss.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 166*q**2 - 2*q + 3. What is the tens digit of x(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from kuqcq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -20*z**2 + 29*z + 11. Suppose k - 21 = -2*m, 3*k = m - 8 - 6. Let l(o) = -4*o**2 + 6*o + 2. Let y(i) = m*l(i) - 2*n(i). Factor y(r).\nAnswer: -4*r*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 423 in -2\/13, -3, -0.023, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1547734.\nAnswer: 2, 773867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 58147.27 millimeters in micrometers?\nAnswer: 58147270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 221542 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v - 5*o = 17*v + 8, -2*v - 3*o = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37a1 (base 15) to base 8.\nAnswer: 27113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6005 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1380 - -1382. Let k = -78 + 391\/5. Which is the second biggest value? (a) k (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 18*m**4 - 4 - 19*m**4 + 3 + 3*m in the form h*m**4 + g*m**3 + w*m + s + t*m**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.4952 - 0.1648. Let m = 16 + x. Round m to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3974 divided by -7\nAnswer: -3974\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 853758 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-950)\/(-12975))\/(80\/(-96)). Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/781422 and 121\/2018592.\nAnswer: 1612855008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 167 = -1237. Let p = 236 + o. Which is the second biggest value? (a) p (b) 3 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1078.8 + 1079. Which is smaller: v or -333?\nAnswer: -333","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 times -140\nAnswer: -3920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/21 and 1\/2*(-355)\/(-1785)?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(1700) + -1)*4 - (sqrt(1700) + (sqrt(1700) + 0)*-6)) + (1 + 0 + sqrt(1700) - (sqrt(1700)*-1 + -4)) + -1)**2 + 5.\nAnswer: 1100*sqrt(17) + 205730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38 and 0.183?\nAnswer: -6.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-2))\/r)\/r*r)**(-21)\/((r\/(((r**(-6)*r)\/r)\/r))\/r**(-9)) assuming r is positive.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -206, -208, -210?\n\"Answer: -2*m - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsyrsou. Give prob of picking 1 f and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4 + 279261156*d**3 - 19496698312614084*d**2 = 0?\nAnswer: 0, 139630578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 13*k = -2*n + 65, -3*n + 3*k + 111 = 0. Calculate the highest common divisor of 40 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*f**3 + 19*b**2*f**2 - 13*b**2*q + b*f**3*q - 2*f**3 with respect to q.\nAnswer: -13*b**2 + b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 216\/42 + 1\/(-7). Suppose -5*p = -2*p - 480. Suppose -c*j - p = -7*j. Is 26 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/5 + 4183*q\/5 + 8362\/5 = 0 for q.\nAnswer: -4181, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 2\/23, -0.3 in descending order.\nAnswer: 0.13, 2\/23, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 - 212 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. Suppose t*l - 20 = 2*l. What is the greatest common factor of 110 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.03 and 0.574.\nAnswer: 0.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 + 40 = -6*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6064 - 3806. Which is smaller: u or 2257?\nAnswer: 2257","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 < 18543\/629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.4. Suppose 3*c = -h - 3*h + 57, 5*h = 4*c - 45. Let z be 4 - 78\/21 - c\/28. Which is smaller: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = 8*m - 5*m + 4*i, -5*m + 588 = -4*i. Suppose 5*o + m = 920. Let s = 1 + o. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*d**4 - 2140*d**2*h**2 + 9402*h**2 wrt d?\nAnswer: -24*d**3 - 4280*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2)*76\/(-228) + -7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2579300 rounded to the nearest ten thousand?\nAnswer: -2580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 146 and 812210\/5559 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - n = 4*n - 23, -4*v + 4*n = -44. Suppose -10*c - v*c = -1265. List the prime factors of c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.554 + 0.034. Round s to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 3*z + 8802 = -20*o, -4*o = 4*z - 11728. List the prime factors of o.\nAnswer: 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 7*a**2 + a - 7. Let b be h(7). Suppose b = n + n - 372. Let y be n\/26 + (-10)\/65. Solve -32 = -5*j - y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1. Let s(x) = x**2 - 8*x - 1. Let r(i) = s(i) + 6*t(i). Let q be r(7). What is the nearest to 0.1 in -3\/5, q, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 2219 (b) -0.0617 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -1)\/(24\/12). Suppose 0 = -n + 3, y*p - 2*p - n = -79. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -2*s + 3*s. Suppose -3*j + j = -s. Let g = j + -9. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1212 by -101.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16378c + -43?\nAnswer: 163749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*p - 30. Suppose -11 = -2*y - 3*l, 0 = -2*y + 4*y + l - 9. What is the highest common factor of y and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 + 0*r + 0*r + (-r**2 + 3*r**2 + r**2)*(-4*r**3 - 7*r**3 + 20*r**3) - r**5 + 2*r**5 + 8*r**5.\nAnswer: 37*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/14 + (-15)\/7)*24. What is i rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 16*z + 3. Let p be u(0). Suppose 2*n = p*h + 14 - 2, 5*n + 4*h = 7. Factor 0*v - 1\/2*v**n + 0 + 1\/4*v**4 + 1\/4*v**2.\nAnswer: v**2*(v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 731.11 - 731. Which is the smallest value? (a) 3 (b) g (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4990?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.57558 and -76.8792?\nAnswer: 84.45478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.01434 + 3580105?\nAnswer: 3580109.01434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5286, 5498, 5706, 5910, 6110, 6306, 6498?\n\"Answer: -2*q**2 + 218*q + 5070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3451, 4956, 6461, 7966?\nAnswer: 9471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6219?\nAnswer: 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 31, -41 in descending order.\nAnswer: 31, -2\/17, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - ((-20 - -7) + (1 - -25)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 0) + (126 - 126) + (22 - 14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -33660202?\nAnswer: -33660186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-2 - -18769) - 3. Let j = -12849 - p. Suppose -x + j = 3*w - 4867, 0 = -3*x - 4*w + 32388. Round x to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35243.34m to nanometers.\nAnswer: 35243340000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-24)\/(-5 - -3) + (-68)\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 272746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 19\/((-5)\/(-15)*-15)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 - 811*z\/3 + 5530.\nAnswer: (z - 790)*(z - 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 - 106. Let n(d) = 6*d**3 + 3*d**2 - 2*d - 1. Let h(q) = 5*q**3 + 4*q**2 - 3*q - 1. Let x(a) = 4*h(a) - 5*n(a). Give x(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2058496 (base 11) to base 2\nAnswer: -1101110101101000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:07 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**2 - 18 + 7 + 11.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.9999994 + 13. Round k to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.9 times -0.94126\nAnswer: -4.612174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c**2 - 4*c - 28. Let v(j) = -22*j**2 + 11*j + 85. Determine -8*t(o) - 3*v(o).\nAnswer: 2*o**2 - o - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 2, -19.45, 2\/3 in decreasing order.\nAnswer: 2, 2\/3, -2\/3, -19.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 906565.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-12)\/1512)\/((-124)\/93)\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6 - (-1 + -4))*(195 + -190)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1333 + 1?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -347, 2, 1678, 5 in descending order.\nAnswer: 1678, 5, 2, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 8*u**2 - 3*u - 4. Give d(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -24\/5, 0.3, 5, 0?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*-32*((-5 - -6) + 0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*45\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 164 in -2\/13, -2, -0.2, -61?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 24988250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-56)\/12 + 3)*-3*1. Let u(l) = l**2 - 30*l - 10. Let k(i) = 15*i + 6. Let b(g) = q*k(g) + 3*u(g). Factor b(t).\nAnswer: 3*t*(t - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2025*y**4 - 1084*y**2 - 6907612*y.\nAnswer: 24300*y**2 - 2168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 3*i. Let g be 7*i*(-2)\/(-4). Solve -5*v + 8 = -g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 438 - 438. Which is bigger: -4\/23 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457238 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -19*x**3 - 24*x**2 + 128*x - 35. Let u(s) = -6*s**3 - 8*s**2 + 45*s - 12. What is -17*u(o) + 6*y(o)?\nAnswer: -12*o**3 - 8*o**2 + 3*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6174 divided by -6?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66059*c + 65961*c = 7644 for c.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. What is the second derivative of -b*a - 4*a + 3*a + 2*a**4 wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llbllllllllbbl. What is prob of sequence bbb?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*v**3 + 41*v**3 + 48*v**3.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -61*b**3\/6 - 32*b**2 - 76*b + 27. Let n(a) be the first derivative of u(a). What is the first derivative of n(l) wrt l?\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90055472*t**5 + 9*t + 3132049?\nAnswer: -1801109440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5)\/(i\/(i\/i**19)))\/(i\/((i*i\/(i*i*i\/(i\/i**(-14))))\/i))**(-7\/2) assuming i is positive.\nAnswer: i**(-303\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3*i + 2*i**4)*(4 - 4 + 2) + (-3*i**3 + 3*i**3 + 7*i**4)*(1 + 0 - 4).\nAnswer: -17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, a: 2, x: 1, o: 1, m: 1, r: 1}. Give prob of picking 1 g, 2 o, and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.983 - -0.983. What is the nearest to -0.1 in -125\/2, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540.769 decades to centuries.\nAnswer: 54.0769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 54*c - 4604. Determine p(65).\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/8)*z**(-1\/13)*((z\/(z*(z\/(z*z**(-2\/7)))\/z)*z*z)\/z)\/(z\/(z*z*(z*z**18)\/z*z)))**(-1\/12) assuming z is positive.\nAnswer: z**(-15479\/8736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 1}. What is prob of sequence rr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 6:50 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8736)\/(-1568) - (8\/7)\/2. What is the third biggest value in -5, 10, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*k + j, 0 = 3*k - 4*k + 4*j + 26. Let d be (427\/63 - 7) + 580\/k. Solve -5*n + 6*u = 3*u - d, 0 = 2*n + u - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 104 = 5*n. Suppose -5*m = -9*m + n. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -165714 or -165768?\nAnswer: -165714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2)*-2 + (3*sqrt(85) + sqrt(85))\/sqrt(5) + sqrt(17)*1*2 + -3 + 5.\nAnswer: 2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 512*t + 11250. Calculate h(-22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22515164 (base 9) in base 15?\nAnswer: -e5ec5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5887*o**2 - 319*o. Let g(t) = -37*t**2 + 2*t. Let b(y) = -319*g(y) - 2*x(y). Let w(j) = 9*j**2. What is b(w(s))?\nAnswer: 2349*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -172450 and 74207.\nAnswer: -98243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11 + 7 + 76*p - 78*p. Calculate b(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x**3 + 18*x**2 + 10*x**3 - 6*x**2.\nAnswer: -17*x**3 + 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 17*o + 73. Let v be n(15). Calculate the greatest common factor of v and 3483.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -37984, -33718, -29448, -25174, -20896?\n\"Answer: 2*q**2 + 4260*q - 42246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02022037821 to 6 decimal places.\nAnswer: 0.02022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c + 8. Let r be v(-4). Let w(p) = 9*p - r*p + 5*p. Let d(b) = -2*b**2 + b**2 + 0*b**2 + 0*b**2. Give w(d(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1143707890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**4\/24 + m**3\/2 - 8*m**2 + 18. Let o(h) be the second derivative of d(h). Determine o(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -56701*r**2 - 6*r + 7. Let x be (5 - 6 - 0) + (-4)\/(-2). Let v be h(x). Round v to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 87\/4 of a century?\nAnswer: 2175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j - 54. Let c(x) = x + 6. Let q be c(-5). Suppose 3*n + 13 = q, 4*n = -3*r + 26. What is the least common multiple of j and r?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2. Let y(m) be the first derivative of m**6\/45 - 4*m**3\/3 - 11. Let r(h) be the third derivative of y(h). Give c(r(w)).\nAnswer: 64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 8 - 8)*(-4*y + y - 2*y) to the form g + q*y and give q.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-30)\/8))\/((-510)\/75).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n. Which is the second biggest value? (a) 0.5 (b) 4 (c) n (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1875, -264, 3, 4 in decreasing order.\nAnswer: 4, 3, -1, -264, -1875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -24*m**3 + 0*m - 9 + 23*m**3 - 3*m**2 - 4*m. Is x(-4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-140)\/25 + (24\/10)\/(-6). Let n be (-3)\/((-2)\/32*-6). Is l <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3\/9 + 15416*m**2\/9 - 59413264*m\/9 = 0. Calculate m.\nAnswer: 0, 7708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 14744.97 years?\nAnswer: 1474.497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**3 - 10*x**2 - 5120*x + 10240 = 0.\nAnswer: -32, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 1:35 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*2\/24 + 405\/20. Suppose 5*w + 5 - 75 = -3*s, 53 = 4*w + 3*s. Suppose u*j - w*j = 147. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.4 + 24.4. What is the second biggest value in 0.1, -3, y, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**5 + u**5 + 0*u**5 + (u**4 + 3*u**2 - 3*u**2)*(0*u - 3*u + 5*u).\nAnswer: -3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0 - 1\/6*k**3 + 0*k + 0*k**4 + 4\/15*k**5 - 23\/70*k**7 + 0*k**6 + 25*k**2. What is the third derivative of s(l) wrt l?\nAnswer: -1656*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 0 + 0)*(-3 + 44 + 12) - 200*c + 2 + 197*c - 14 - 3 - 2*c + 3 as y + n*c and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c - 4. Let v(k) be the first derivative of 2*k**3\/3 - 19. Calculate v(w(z)).\nAnswer: 128*z**2 - 128*z + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 948 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/16 and 97\/1664.\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (250\/1875 - 451\/(-105)) + -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*t + 74 = 0, 1 = t - 1. Let u be 4 - 24*y\/9. Which is smaller: u or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 2)*(-15)\/(-6). Suppose -u - w = -9, 4*u - n*w + 8*w - 33 = 0. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1236230?\nAnswer: -1236230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4518\/5 or 904?\nAnswer: 904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38770 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, h: 1, b: 5, p: 6}. Give prob of sequence pd.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -11267*w - 540817. Determine c(-48).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2\/7 - 15376656*j\/7 + 19703462478528\/7 = 0. What is j?\nAnswer: 2562776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26348721 and 882.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5022662310 to the power of 1\/2, to the nearest integer?\nAnswer: 70871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67095.3969 microseconds to weeks.\nAnswer: 0.00000011093815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20984.\nAnswer: 2, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**4 - 25*i**3 + 9*i**2 + i + 1740 wrt i.\nAnswer: 12*i**2 - 150*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, k: 16}. What is prob of picking 2 k?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -31. Suppose -5 + n = u - 3*w, 2*u + 14 = -4*w. Let k be (3 - 2)*1*u. Sort 4, 3, 1, k in decreasing order.\nAnswer: 4, 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*t - 434384 + 212493 = -202599 for t.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 164139013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323761 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 66587 (base 11) to base 14\nAnswer: 27272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2643*u + 0 + 0 + 2632*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*h + 115, -3*h + 4*x = -h + 68. Let l be (2\/(-6))\/(4\/h). Solve 4*z = -2*g + 5*z + l, -5*g + 11 = -z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 - 109. Solve 5 = 2*y + w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695071521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 139271\nAnswer: -10\/139271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/86 and 85\/12892466.\nAnswer: 554376038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -147? (a) -0.4 (b) 9 (c) 0.1 (d) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p - 5. Let h(w) = w**3 + 2*w**2 - 2*w. Let f be h(-2). Let q be j(f). Let r = q - -70. Calculate the highest common factor of 22 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 4 + 0)*(2 - 1 + 1) + 1 + 6 - 3)*(d**4 + 2*d**4 - 5*d**4) as b*d**3 + r*d**2 + n*d**4 + x*d + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -129, -206, -285, -366, -449, -534?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 141 and -7508.1?\nAnswer: 7649.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117304324 to the nearest integer?\nAnswer: 10831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -2\/5, 4, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -12*o + 12. Let c be (-6)\/(1\/2*-3). Sort o, c, 0.\nAnswer: 0, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 5, 0.5, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1122000 + -333031?\nAnswer: -2121031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13, 21, -17, -143, -399?\n\"Answer: -7*w**3 + 19*w**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*a**3*l**3*y**2 - 7*a**3*l - 2469*a*l**3*y + 114*a*l*y**2 + a*l*y - a*y - 2*y**2 wrt l?\nAnswer: 204*a**3*l*y**2 - 14814*a*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 8:13 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 92730.72 litres?\nAnswer: 92730720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(3 - 36\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22122220001 (base 3) to base 2\nAnswer: -101001101000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((42\/4)\/(-7) - -2)*34. Which is smaller: 18 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wik when three letters picked without replacement from {i: 2, z: 5, k: 3, w: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**5\/20 - x**4\/12 + 14*x**3\/3 - 5*x**2\/2 + 49*x. What is the remainder when 26 is divided by q(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1500.\nAnswer: 1\/750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 129\/14, -3\/5, 3, -1\/3, -2, 2\/33?\nAnswer: 129\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 - -75. What is the third derivative of 14*i**4 - 33*i**2 - j*i**4 + 7*i**2 + 16*i**2 wrt i?\nAnswer: 288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 4. Let y(s) = -112 - 3*s + 137 - 2*s. Give -25*l(m) - 4*y(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -186 and -1.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 8) to base 10.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/13 + 2\/13*t**2 + 0*t.\nAnswer: 2*(t - 2)*(t + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60.1 - 60. What is the closest to -0.2 in -2\/5, -5, u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 31, 17, -31, -125, -277?\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((27\/405)\/((-3)\/((-1035)\/(-10))))\/(-1). Which is the smallest value? (a) -1\/6 (b) x (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 658, -4, -7, 1.\nAnswer: -7, -4, 1, 4, 658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.142 + 1.141523. What is j rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/35))**30*(j\/j**(-4))**(4\/7) assuming j is positive.\nAnswer: j**(242\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 11:12 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -52777.09.\nAnswer: 1055.5418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2)\/((-1)\/(-50)). Suppose 5*t - 1 = -a, 0 = -0*a - a + t + 1. Let o = a - f. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 53 = -5*x, -3*x - 9 = 6. Suppose -4*m + 3*m = -q. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from {c: 1, s: 10, q: 5, j: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s**3 - 71 - 159 - 10*s**3 + 17*s**3. Let p be y(0). Let v = p - -333. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1768728825?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-3)\/(-2) - -9. Suppose c = -c + h. Solve -3*j - 2*g + c = -7*j, 4*g = 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 115*g - 273*g. Sort 5, -9, g, 3 in descending order.\nAnswer: 5, 3, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196733776.\nAnswer: 2, 12295861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**3\/6 + l. Suppose 0 = -0*s + 2*s - c - 1, -3*c + 12 = -s. Let v be (-1)\/(1\/s*1). Give r(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6522270 is divided by 89?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - -198. Let h = -235.9999867 + t. What is h rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29\/78 - 5\/39. What is the second biggest value in s, 5, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -4, -58, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15755 is divided by 79.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -87453.4928 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 469119590 to the nearest 1000000.\nAnswer: 469000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 557367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15076?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10534 + -2112010?\nAnswer: -2101032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + d1?\nAnswer: d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -149\/5. Which is the nearest to -0.1? (a) -0.1 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136216 is divided by 4017?\nAnswer: 3655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 75906231 a multiple of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5)\/b)**(2\/53))**18 assuming b is positive.\nAnswer: b**(-252\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1243 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/a**1)\/a)**47*(a**0*a)**20)**35 assuming a is positive.\nAnswer: a**700","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1134)\/4)\/9 - ((-600)\/(-48) + -15)*1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - k. Let y(d) = -5*d**3 - 4*d**2 - 16*d. Let v(j) = 6*w(j) - y(j). Is v(5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*m. Suppose 0 = -4*h + 9 + 7. Suppose -t + m = -h. Which is the nearest to -0.1? (a) -0.4 (b) t (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (21 + 1)) + (39 - 30)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3620848 (base 9) in base 11?\nAnswer: 1120449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.8 - 7.799365. What is o rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/4 - 509*v**3\/4 - 3225*v**2\/4 + 69925*v\/4 - 51500 = 0. What is v?\nAnswer: -16, 5, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/234 - (-64)\/(-416)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -6311000.648.\nAnswer: -6310996.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2. Let s(v) be the third derivative of -v**7\/420 + v**4\/8 + v**2. Let f(p) be the second derivative of s(p). Determine n(f(d)).\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 139 in -2, 5, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.71605 - -16.81. What is p rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151309.\nAnswer: 83, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4\/7 - 44*w**3\/7 + 36*w**2\/7 + 44*w\/7 - 40\/7 = 0. What is w?\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -10*d - 9. Let r(w) = 6*w + 6. Let k(l) = -5*g(l) - 8*r(l). Calculate k(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, y: 12, n: 2}. What is prob of sequence nn?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14473 is divided by 536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -355\/22, -2\/7, -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 8:14 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from jjwsyyjsyyyyyj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*d - 4. Suppose 0*r = -d*r + 82. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n + 1265 = 5*h, 948 = 3*n + 3*h. Suppose 0*m = 3*m - n. Suppose -p + m = 4*p. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42064911073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 12:39 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/347 or 0?\nAnswer: -12\/347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 + 3*o**2 + 5*o**2 - 6*o**2 + 4*o**2. Let d(l) = 7*l. Determine d(x(c)).\nAnswer: 63*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) -0.052 (c) -1 (d) -1\/2 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 180 (base 9) to base 3\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 25*y**3 + 10*y**2 + 24. Let p(x) = -8*x**3 - 4*x**2 - 8. Let s(v) = 17*p(v) + 6*t(v). Let o(j) = -5*j**3 + 3*j**2 - 3. Give -8*o(f) - 3*s(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 22 - 28. Suppose -u + 4*j - 10 = -3*u, 4*u = -5*j + 17. Suppose -73 = -5*y - u. Calculate the least common multiple of y and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g. Let q(s) be the first derivative of 0*s - 1 + 0*s**2 + 1\/3*s**3. Determine v(q(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 410 + -936. Let s = 1661 + p. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*r - 2 = 0, -r = -4*h + 2*h + 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21043, -21886, -23289, -25252, -27775, -30858?\nAnswer: -34501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.00314 and -10.602632541.\nAnswer: -10.599492541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + l)*(4 - 1 - 1) + 3*l - 4*l + 2*l + (-2 - 2 + 5)*(2*l - 8 + 8).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.6719817 + 85816937.3280183. Let t = 85816952.40000076 - q. Let c = t + 2.6. Round c to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**3*o**2*x - 2*i**3*x**3 - 3*i**2*x**2 + i*o**2*x - 18*o**2*x**3 + 4*x**3 - x**2 wrt x.\nAnswer: -12*i**3 - 108*o**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8 = -2*t - 4, 5*q = 5*t. Let z(v) = v**2 + 5*v + 4. Let p be z(-4). Suppose p = -g - 3*g. Solve -q = -i - g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1922?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1 - 1 + 12*a. Let m(l) = 3*l. Let w(h) = 2*h. Let k(o) = -o**2 + 18*o + 22. Let b be k(19). Let d(f) = b*m(f) - 5*w(f). Give d(r(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33.18 + 32.18. Which is the third biggest value? (a) -707 (b) q (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 768*f**2 + 11507*f - 169. Calculate j(-15).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1573*u - 975*u + 2526*u.\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -550*i**5 - 302*i**5 + 105*i**5 + (3 - 2*i - 3)*(2 + 2*i**4 - 2) - 2*i**5 + 4*i**5 - i**5.\nAnswer: -750*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-26)\/(-75933)*11)\/((-14)\/126)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 70 + 15*z**3 - 17*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -6)*(-9)\/(-45) - (-12)\/(-10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7405052.96 to the nearest one hundred thousand.\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 d when three letters picked without replacement from ddbivgr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjbjbbbbbbbbbbjbbbj. What is prob of picking 2 b?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 2*t**3 + 2 + 0*t - t**3 + 5*t to the form k*t + w*t**2 + x + g*t**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) -2.7 (c) -12\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31411\/404 - 78)*-44.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(187)*-2 - sqrt(187)) + sqrt(187))\/((1*sqrt(11) + sqrt(11))*-4))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 250 (b) 23 (c) 2\/5 (d) 4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Let s be (4 - 0 - 3)*4. Let o(l) = 4 + 2 - 2 - 3 + s*l. Calculate o(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jwjwjwjwwjwwwjwwjwjj.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5954190, 5954117, 5953994, 5953821, 5953598?\nAnswer: 5953325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-196)*-120)\/(2\/7). Solve 7*i - 13*i = d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5694\/252 + 38\/(-399))*4\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 4, w: 4, p: 3, a: 1, f: 1}. What is prob of sequence fp?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/203 greater than or equal to -39\/2774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37240421 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36912 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 337\/6. Which is the nearest to 0? (a) h (b) 0.2 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a factor of 454201105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = 12 - 72. Suppose -3*s = -2*n - 2395 + 248, b*s - 3589 = -2*n. Does 24 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.453 rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.2 - -11. Let g = -2 + 2.2. Let j = g + p. Which is the closest to j? (a) -5 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**4\/12 + q**3 - 5*q**2\/2 - 21*q. Factor z(v).\nAnswer: -(v - 5)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-69)\/33)*18\/3.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5 = 17. Let k(f) be the first derivative of -4 + 1\/3*f**2 - 1\/6*f**4 + 0*f**p + 0*f. Solve k(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**5\/5 - 7*h**4\/5 + 4*h**3\/5 + h**2.\nAnswer: -h**2*(h + 1)**2*(6*h - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 312 - 310. Let d = 51.08 + -54. Let z = d - 0.08. Sort z, -0.2, b in descending order.\nAnswer: b, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l**3 - 46*l**2 + l - 11. What is m(-12)?\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 195*a**8\/56 + a**4\/6 + 83*a**3\/6 - 8*a + 3. What is the third derivative of j(n) wrt n?\nAnswer: 23400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2004024 (base 5) to base 9.\nAnswer: 47513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (31650\/136 - 0)*3050\/(-1395). Let o = 8658\/17 + w. Let n = -2\/93 - o. What is the closest to 2 in n, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (183\/(-122))\/(0 + -53643). Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 8*n - 8. Let z be s(-6). Suppose -c - 15 = -z*c. Let l(v) = v**3 - 4*v**2 - 4*v + 1. Determine l(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.434 + -4.06. What is h rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 0)\/(-4)*26. Let l = -13 + s. Find y such that 1\/5*y**5 + 1\/5*y**3 + 0 - 2\/5*y**4 + 0*y**2 + l*y = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 - 33.6. Let u = 204109249 - 204109213.9999908. Let s = u + x. Round s to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 395*n. Let r be f(0). Solve r = 17*a - 10*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -415\/2 + 1745\/8. Let i = -3\/646 - 29037\/7106. Find the common denominator of h and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + o - 10 - 3 = 0, -o = -y - 1. Let h be (y\/4)\/(9\/54). Let l be (3\/(-7) - 2) + h. Which is greater: 0.2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(76) - sqrt(76)*1*5)\/(sqrt(36) - sqrt(216)\/(sqrt(6)*2) - sqrt(36) - sqrt(36)).\nAnswer: 26*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -79095438 and -79095438 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (2 - 1) - 2628\/7. Let u = v + 373. Put -4, u, 22, 0.1 in descending order.\nAnswer: 22, u, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 18. Let k be v(-15). Suppose -5*z = 2*m - 9 - 4, 4*z = -k*m + 23. Let y = 8 - 5. Calculate the highest common factor of y and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -16. Suppose -4*x + 691 = 5*a, -a - b*x - 74 = -210. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 0, 15, -2, 1\/8, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = a - 3*a + 8, 8 + 13 = -5*q + 3*a + 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*6*((sqrt(336)*1)\/sqrt(12))**2.\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*y = -36 - 25, -m - 4*y - 25 = 0. Let t = -26 - m. Suppose -p = -4*w - 21, 4*p = w - 5*w + 84. Calculate the highest common factor of t and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 797*c - 6410. Calculate v(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -181*o**7\/7 + o**4 - 358*o**3 - o**2\/2 - 797. Find the third derivative of t(v) wrt v.\nAnswer: -21720*v**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12408 = 646*t - 654*t. List the prime factors of t.\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22856549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 5*x - 4*w, -97 = -3*x - w - 83 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -71401, -285406, -642021, -1141246?\n\"Answer: -71305*g**2 - 90*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/((-3483)\/216) - 3810\/1395.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5*m + 88, -2*m = 5*f - 5*m - 90. Suppose f*w - 16*w = -395. Let o = w - -129. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53 + -2234112?\nAnswer: -2234015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 - 47 - (5 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/8)\/i*i\/((i\/i**(-1\/4))\/i)*i)\/(i**(4\/5)*i*(i*i**(-1\/9)*i*i*i)\/i))**48 assuming i is positive.\nAnswer: i**(-2926\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*t + 19384, 0 = -2*s + 3*t - 12335 + 51076. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + -0.2. Let g = 0 + -3. Which is the closest to 0.1? (a) m (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/5))**11 assuming g is positive.\nAnswer: g**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-1)*p)*p**(1\/5))\/(p\/(p**(-1\/2)\/p)*p**(-2\/9)))\/(((p*p*p**0)\/p)**(-46))**2 assuming p is positive.\nAnswer: p**(8183\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 345321897 to the power of 1\/4, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - c - 1)*(-2 + 2 + 1) + (1 + 2 - 1)*(56*c + 153*c - 57*c) as o*c + n and give o.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -25. Let j = 17 - k. Is (2\/j)\/(1\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-5)\/(-5)) + 4. Suppose 0 = z + 2*d - 4357, 10165 = i*z + 2*d + 1451. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-34)\/28 + 1). Suppose 0 = 5*c + 1 + w. Let f = 8 + c. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 3*c)*(8 - 2 + 7) - 10*c + 17*c + 25*c)*(0 - 1 - 4)*(3 - 2*c - 3).\nAnswer: 710*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -46981, -46980, -46977, -46972, -46965, -46956?\n\"Answer: u**2 - 2*u - 46980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12264 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2 + (sqrt(2057) - (1*(sqrt(2057)*-1 + sqrt(2057)) + sqrt(2057))))**2*-3 - (2 + (1*(4 + 0 + sqrt(2057) + sqrt(2057)))**2)).\nAnswer: 176*sqrt(17) + 8258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -211, -203, -195, -187, -179?\n\"Answer: 8*t - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/66 + 1*1360\/(-2090)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 2*v - 3. Let d be f(1). What is the tens digit of -3 + (-3 - d) - -247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 946.917*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -302 by -11.\nAnswer: 302\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 28498432146 + 0.2\nAnswer: 28498432146.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.7 + 8.96. Let i = o - -2.39. What is i rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:23 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65330 - -18826. Let p = u - -46259.23. Let l = p - -246. Round l to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 20304820.\nAnswer: 304572300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*v**2*x + 11253*v**2 + 2*v*x - 75*v + 24133590*x wrt v.\nAnswer: -4*v*x + 22506*v + 2*x - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25476.2*9.\nAnswer: 229285.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 2 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/7 + 114*p**2\/7 - 432*p\/7 + 424\/7.\nAnswer: -2*(p - 53)*(p - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*g, 9 = 5*r + 2*g - 11. Suppose -3*t + 1625 = r*t. Suppose -16*v - 53 = -t. What is the remainder when 47 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3811964mm in meters?\nAnswer: 0.0003811964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 36 = 36. Find the third derivative of 7*f**4 + v + 31*f**2 - 9 - 15*f**4 wrt f.\nAnswer: -192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 26*y + 1. Give f(-5).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + x + 4. Suppose -7 = x*h + 3*y, -4*h - 16 = -2*h + 4*y. Solve 4 = f - 3*m, 0*f = -3*f + 4*m + h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -32*s**7\/21 + s**6\/10 - 37*s**3\/2 - 12*s - 29. What is the second derivative of u(v) wrt v?\nAnswer: -1280*v**3 + 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/116610 and -23\/220?\nAnswer: 2565420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3\/5, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**3 + 19*h**2\/2 - 8*h. Is 14 a factor of l(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcttspz. Give prob of sequence tt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.22, 2\/211, -35.5, 1, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259940?\nAnswer: 2, 5, 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.933? (a) -4 (b) -1\/2 (c) -2\/597\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**0*r*r)**(-26)\/((r*((r*r\/(r*r*(r**(-7)\/r)\/r*r*r)*r*r)\/r)\/r)\/(r\/r**(-2\/3))) assuming r is positive.\nAnswer: r**(-253\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200133001001 (base 4) to base 15.\nAnswer: b3324e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 0*d**5 + 0*d**4 + 0*d**2 + 16 + 23\/3*d**3 + 15\/7*d**7 + 0*d**6 + 0*d. What is the third derivative of b(l) wrt l?\nAnswer: 1800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1380526866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 37*(13\/65)\/((-3)\/15). Let l(u) = -8*u + 4. Let a be l(5). Is s != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21872139 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1015 (base 8) in base 2?\nAnswer: -1000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -5, -0.2, 0.11722, 5, -4?\nAnswer: 0.11722","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -2*m - m - 3*m**2 - 4*m**2 + 3 + 6*m**2. Let w = -6 + 2. Give l(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2740*f + 14501 + 26599 = 0 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v - v + 0*v. Let m(b) = 6*b. Let u(y) = y. Let f(z) = m(z) - 4*u(z). Give o(f(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1251284?\nAnswer: 2, 31, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (6 - 8) - (0 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0382944093 rounded to three dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-248000)\/(-440))\/62)\/((-5)\/(330\/(-12))).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 17*z - 27. Let t be d(9). Let x = -106 + t. What is the greatest common divisor of x and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 93 + (1 - -2) + 3. Suppose -3*t - 1 = 2, 4*n + 5*t - p = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43121 (base 5) to base 13\nAnswer: -142c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/346 and ((-82)\/(-21))\/((-20)\/(-35)).\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 4) + 8 - -3 - 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/30 and 26\/7695.\nAnswer: 15390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/25)\/((-12)\/180).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -16*i + 155. What is q(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/4*(4 - (-120)\/6). Let x be (-7)\/(-6) - (-2 + (-39)\/l). Is 3.2 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023926 to five dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.39 + -0.35. Sort -2, o, 1\/2.\nAnswer: -2, o, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213003 is divided by 4435.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5991, -12409, -18827?\n\"Answer: -6418*v + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3571854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(65)*-1 + sqrt(65))*3)\/(-2*sqrt(5)*2))**2 + (((sqrt(637) + -1)*2)**2 - (-4 + 1*sqrt(468) + sqrt(468))).\nAnswer: -68*sqrt(13) + 2556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u - 1. Let o be c(3). Calculate the common denominator of ((-159)\/(-12) - -2) + 0 and (-63)\/20 + (7 - o).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*i + 119. What are the prime factors of (i\/(-7))\/(2\/(-4))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5*u + 4 = 0, 4*v + 7*u - 3*u - 16 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**5\/60 - 5*f**4\/24 - 5*f**3\/6 - 9*f**2. Let v(m) = m + 13. Let o be v(-10). Suppose o*u - 8*u = -25. Determine g(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650 is divided by 48?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 2*w + 2 - 3, 0 = -4*a + 3*w + 29 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, h: 5, w: 1, q: 3}. What is prob of sequence wq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 74*((-9)\/36 - (-3)\/4). Let u = o - 32. Put 17, 0.5, u in increasing order.\nAnswer: 0.5, u, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54651520 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 436 = 5*c, -4845*c - 259 = 5*u - 4848*c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(0 - 1 + 0)*(121*g + 89*g - 2*g).\nAnswer: -208*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowyydoooowwd. Give prob of sequence ddoo.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b - 7 + 7)*(1 - 2 - 2*b + 3 + (-1 + 4 - 2)*(3*b - 3*b - b) - 56*b - 5*b - 5*b) to the form w*b + y*b**2 + m and give y.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -855*l - 2560. Calculate v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6761.7 - -6762. What is the third smallest value in l, 0.08, 2\/17, -1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14802 divided by 4934\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccc. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/42 - 19\/(-7). Suppose -4*n + 4*y = -116, 3*n + c*y - 95 = 8*y. Calculate the highest common divisor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.310952 centuries?\nAnswer: 0.5310952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -230*v**4 - 8*v**3 - 4*v**2 + 3*v + 2. Let z(d) = -2*d**3 - d**2 - d. Let l(g) = -x(g) + 4*z(g). Find the second derivative of l(u) wrt u.\nAnswer: 2760*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f + 4. Let q(v) = 4*v + 8. Suppose 0 = -3*w - 0*w - 3*g + 15, g + 5 = w. Let r(x) = w*l(x) - 3*q(x). Determine r(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 13*a**5\/15 + 13*a**4\/24 - 81*a**2. Let y(v) = -21*v**2 - 5*v. Determine -5*g(o) - 13*y(o).\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -27*i - 4. Let b(l) = 13*l + 2. Suppose 8*k + 7 = 111. What is k*b(t) + 6*d(t)?\nAnswer: 7*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c**2 + 40*c + 2. Calculate f(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/25 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1472 + 0.5472. Sort -38, z, 0.5 in decreasing order.\nAnswer: 0.5, z, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/309406485 and 69\/55.\nAnswer: 3403471335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-20\/3))**(2\/97))**(3\/17) assuming x is positive.\nAnswer: x**(-40\/1649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 - -75. Let p be g\/27 + -3 + -2. Which is the nearest to 1\/3? (a) 4 (b) p (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3103?\nAnswer: 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2688 and 225556352?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {r: 11, u: 1, w: 1}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-12))\/(9\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 223 - 40. Let n = h - 182.927. Let u = n - 0.0729874. Round u to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x + 24. Suppose 2*m - x = 0, 9 + 3 = 5*i + 4*m. Suppose -n + l + 12 + 0 = i, -3*n + 30 = 3*l. What is the remainder when 32 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**4 + 14*b - 7. Let h(d) = -2*d**3 + 7. Let q(a) = 5*h(a) - 3*x(a). What is the first derivative of q(p) wrt p?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 16*v**2 + 10*v + 24. Let q(k) = -2*k**3 - 32*k**2 + 19*k + 47. Let z(g) = 11*b(g) - 6*q(g). Let c = -46 - -33. Is z(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1538407 (base 12) to base 7.\nAnswer: -51415102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -959 and -12331.\nAnswer: 11825429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -22 + 10. Suppose 1 + 22 = w*c + a, 26 = 4*c + 2*a. Let y(s) = 3 - 1 + 1 + c*s. Give y(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15991 is divided by 131?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/40)\/((-2)\/(-4)). Let t = 5.7 - 6. Suppose 4*w = n + 2 - 3, -2*w + 4*n - 18 = 0. What is the closest to w in j, 0.1, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0, 4\/7, -8, -2\/9?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9128 and 508886?\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6306, 22957, 50706, 89553, 139498, 200541, 272682?\nAnswer: 355921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/(206\/30 + -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -42.1 from -48.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -892, -3600, -8122, -14464, -22632, -32632, -44470, -58152?\n\"Answer: -q**3 - 901*q**2 + 2*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 196\/280*(-12)\/(-14)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10378969, 41515875, 93410717, 166063495, 259474209, 373642859, 508569445?\nAnswer: 664253967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/9 + (4375\/105 - 40).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-210)\/63*(-1809)\/2.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 + 939929*g\/2 + 46521585.\nAnswer: (g + 99)*(g + 939830)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -29382cf?\nAnswer: -29382ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31521 + -1541?\nAnswer: -33502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13533281*x**3 + 8432120*x**2 wrt x.\nAnswer: 81199686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 429, 1680, 3757, 6654, 10365, 14884?\nAnswer: 20205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/163 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.2. Let j = 83.84 - 96.3. Let f = -9.46 - j. What is the second biggest value in f, p, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, c: 9, s: 1, t: 2, y: 4}. Give prob of picking 2 y and 1 t.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 0.2, 3, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1134 + 1129. What is the third biggest value in -4, m, 567?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507.221 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 7*f**2 + 26*f - 4. Let h be z(8). Which is smaller: 136 or h?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - (3 - 21 - (-13 + (-16 - -20)))) + 7?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 30 = 4*c, -4*c - 3*w = -0*c - 29. Suppose -4*f + c = 2*j, 4*j - 4 - 6 = -2*f. Factor -h**4 + 3*h - 2*h**4 + h**4 - 2*h**3 + 2*h**j - h.\nAnswer: -2*h*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/19, 0.3, 0.16, 9?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 14) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 46\/65, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*n)*(-11 - 1406*n + 11 - 42*n) in the form y*n + u*n**2 + o and give u.\nAnswer: 2896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 651964181 to the nearest integer?\nAnswer: 25534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-14)*(-276)\/(-207). What is the second biggest value in -2, f, 18?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 11 in ascending order.\nAnswer: -4, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 7:12 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 192358897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571, 1210, 1849, 2488, 3127, 3766?\nAnswer: 4405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4 + 8*n**3 - 265*n**2 - 1904*n = 0. What is n?\nAnswer: -17, -7, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -3\/23, -3\/4, -0.5?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45657\/260 - 48\/312. Let v = 751\/4 - d. Find the common denominator of 115\/12 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -10*a + 4*a. Calculate the remainder when (69\/(-12))\/(a\/4) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c. Suppose -18*g + 0*g = 50*g. Let x(y) be the second derivative of 0*y**2 + 3*y + 5\/4*y**4 + 0*y**3 + g. Determine b(x(n)).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = i - 0*i, -5*j + 21 = i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9797, -19373, -28949, -38525?\nAnswer: -48101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -210011022 (base 3) in base 8?\nAnswer: -36101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -5 (c) -2\/5 (d) -2929528\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3053, 3054, 3055, 3056, 3057?\nAnswer: 3058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + 3 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2718*p + 477 + 1360*p + 1351*p to r + a*p and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3458 = -7*k + 161. Suppose 2*b = b - 258. Let t = b + k. Does 37 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1398873307 to 2 decimal places.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 12) in base 14?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/13238334 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-1\/52)\/t*t*t)\/t*t**(4\/5)*(t**(-14)\/t)\/(t**(-1)*t))**(-4\/7) assuming t is positive.\nAnswer: t**(3177\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 619*u - 96560. Give i(156).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-5) + (-1)\/(-5). Suppose 8 = -4*l, -2*i + l = -l - 10. Suppose -i*v + 5 = -4*v. Which is the third biggest value? (a) v (b) -2\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 488716?\nAnswer: -488718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 0.39\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -536 = -10*h + 74. Let x = h + -15. What is the least common multiple of 10 and x?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*j**3 + 26*j**2 - 34*j**3 - 40*j**2 + 14*j**2.\nAnswer: -104*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, k: 6, x: 5, r: 1}. Give prob of picking 1 k and 1 x.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37046 - 10442 = 36*i. Calculate the remainder when i is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -434250648 divided by 2783658.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -1 + 95\/10 + 7\/(-14). Solve 209 - 201 = x*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 4 - (-2 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 5*y**2 - 2*y - 4. Let p = 6 + -2. Let d be a(p). Sort -2, 1, d in descending order.\nAnswer: d, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -836.2 + 836. Let f = -7 + 10. Let n = -7 + 11. Which is the closest to l? (a) n (b) f (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*p**3 + 53934*p**2 + 2*p + 957636 wrt p.\nAnswer: 42*p + 107868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/741 and 50\/1472823.\nAnswer: 19146699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1728\/486 + 8\/18. Suppose 4*c + 0*c + a - 6 = 0, 2*c = -2*a. Solve -l = -4*p - n*l + 1, -2 = 2*p + c*l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53.9 - 57. Let o = 5.4 + b. Let x = -3.3 + o. Which is bigger: x or -3\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 1) + -7 - (-10 - 4)) + -19.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3*l = -40. Let j be ((-24)\/l)\/(8\/204580). Suppose -249399 + j = v + 5*y, 939995 = -5*v + y. Round v to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 145.\nAnswer: 1\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1235003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(153) + 4*sqrt(153)*-2)\/(sqrt(90)\/(sqrt(10) - (sqrt(10) - -1*sqrt(10)))))**2.\nAnswer: 1666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 687*p - 5496, 3*p + 53 + 0 = -3*o + o + 5*p + 4*p + 13 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtsjsdjjt. What is prob of picking 2 t?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5}. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4111.33 + -4105. Round h to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 4197 - 2013 = 2745. What is the greatest common divisor of a and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (8 - 0)*((-525)\/(-6))\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + 0.2. Let x = -14 - -4. Let u = x + 10.1. What is the third biggest value in u, 0.3, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 99, 68, 37, 6, -25?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 57536 = 42*o. Suppose -t = y - 1364 - o, 3*y = -t + 9488. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uou when three letters picked without replacement from ouoouoooouuoouoouoo.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 793\/21 + 1135\/4767?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 22. Let y = b - 8.22. Let q = 0.219978 + y. Round q to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -47824*g**2 - g**3 + 47850*g**2 + 87*g + 2*g**3 - 19. Give t(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**3 + 8*a + 8*a**3 - 8*a.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3307*l - 3307*l - 20*l**2.\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Suppose j - 34 = u*n, 0 = 2*j - 3*n + 6 - 79. Calculate the remainder when j is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 43. Let j = -14 - k. Which is the nearest to 1? (a) j (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27254*97.2\nAnswer: 2649088.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1\/5 (c) -6250\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, u: 4, s: 2}. What is prob of picking 3 u?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*b = 80*b - 22342 + 4982 for b.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 + -58. Let s = j - 33. Let b = -13 + 15. Solve -b*a - l + 2 = -5*a, -5*a - s = l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 19 + 2 + -9 + 20 - -7?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5 = -12*y - 17*y + 33*y + 18, 11*h + y = 48 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lod when three letters picked without replacement from {o: 1, l: 2, d: 11}.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) - (-240)\/(-45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11480635 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 204.274 - 0.274. Let z = b + -125. Let w = -79.043 + z. What is w rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18313 > 18314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-291)\/(-14) - (-4)\/(-14). Let n = 6543.1 + -6543. Sort n, 3, s in decreasing order.\nAnswer: s, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 321*q - 468 wrt q?\nAnswer: 321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 379880.9464368 - 0.7?\nAnswer: 379880.2464368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320 = -33*d + 439 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/12 + 2\/8. Suppose p*d - 4*d = 2. Let i be (-49)\/(-7)*d\/(-7). Solve 4*u = 4*m + 16, -i*u + m + 8 = 6*m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/11 - 3546342*t\/11 - 3546344\/11 = 0.\nAnswer: -1, 1773172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 84032*b + 29727552.\nAnswer: -4*(b - 21356)*(b + 348)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**3 + 9*l + 7. Let u(h) = 49*h + 491 + 2*h**3 - 54*h - 495. Give -3*i(y) - 5*u(y).\nAnswer: 2*y**3 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(2*(-3)\/(-12)). Let z be x\/(-8) + (-22)\/(-4). Solve u - z = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37 + -535?\nAnswer: -56c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43.7 + 13.3. Let l = q + -53. Let n = 497\/4 + -125. What is the nearest to -1 in n, l, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + 5 - 8 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319 = -3*c + 5*a - 309, 3*c - 19 = -4*a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*g - 22 + 2, 109 = 5*a + g. Let x(h) = -7*h - 6. What is the least common multiple of a and x(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. Suppose 2*m + 7*m = -27. Sort m, h, -1\/6 in increasing order.\nAnswer: m, -1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phphhhhphhhhhhhhhhhh. Give prob of picking 1 p and 2 h.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 6 = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.068? (a) 6 (b) -3 (c) 1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 45 + -68 + 2 + (3 - 10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3317.\nAnswer: 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = 14*p - 244 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/6 - 1619*x**2 + 19419*x\/2 - 14562.\nAnswer: (x - 9708)*(x - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -20.5646 (c) 1\/6 (d) 0.1 (e) 11 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*g + 10 = -74*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1081 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d*w**2 + 3*d*w - 2*d - 875*w**2 + 2*w + 46 wrt w?\nAnswer: -8*d - 1750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8636.\nAnswer: 2, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39701 - 0.5.\nAnswer: -39701.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u - 40 = -14. What is the nearest to u in -10, 3\/7, -0.4, -1\/10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 54 - 6. Solve -241*z + 237*z = g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*y + 3*i + 2, 4*y - i = 13. Let b(g) be the first derivative of 0*g**y + 2 - g**2 - 1\/4*g**4 + 0*g. Find the second derivative of b(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -474034 + 551.\nAnswer: -473483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -59777037 - -5?\nAnswer: -59777032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1424063?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(2178)*-1)\/(sqrt(6)*1*-2))**2*5.\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**2 + 17*i + 3. Let f(y) = 3*y**2 - 11*y - 2. Let k(p) = -8*f(p) - 5*l(p). Let b be 6\/(-4)*4 - -2. Calculate k(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 401 = 76*s + 567. What is the fourth biggest value in 78, s, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y. Let b(l) = -38353*l + 1. What is b(r(o))?\nAnswer: 191765*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 338 + -235. Let n be (26\/4)\/(7\/182). Let h = n - m. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/3 - 346*d + 126868\/3.\nAnswer: 2*(d - 322)*(d - 197)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2420ab (base 13) to base 12.\nAnswer: 356585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcgggggggggc. What is prob of sequence gc?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 56. What is the smallest common multiple of g and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188912a (base 12) to base 8\nAnswer: -23532562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - 5 - -1*4. Suppose h = 2*h - o. Calculate the remainder when h is divided by ((-3)\/(54\/(-24)))\/(4\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-62)\/120 - (-3)\/5. Let w(h) be the second derivative of -s*h**4 - 1\/2*h**2 + h + 0 + 1\/3*h**3. Factor w(c).\nAnswer: -(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7080\/6372*1\/5*3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.042, -0.2, 17732?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3*h**3 + 5 - 3*h**3 - 3*h**3 in the form b + s*h + r*h**3 + z*h**2 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 14*r**3 - r + 1. Let q be y(1). Suppose 5*x - q = 3*x. Suppose j + 0 = x. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/5))**(2\/19)\/(d\/(d**(-4)\/d))**26 assuming d is positive.\nAnswer: d**(-14806\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206466 is divided by 3226.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-27)\/12 + 2)*27 + (4 - -2). Which is the nearest to 12? (a) 1\/10 (b) j (c) -1\/4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451 - 443 = -8*j. Let o(z) = -12*z**3 + 5*z**2 - z - 1. What is the lowest common multiple of o(j) and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764858 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 smallest value? (a) 163 (b) 4\/9 (c) 4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1547*p**2*s - 16557*p**2 + 63*p*s + 4*p - 2*s + 2 wrt s?\nAnswer: 1547*p**2 + 63*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40892040 divided by 270.\nAnswer: -151452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 51*g - 55*g. Let k be 2 - g*4\/(-4). Does 9 divide (-1 - (-14)\/k)\/(47\/(-94))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 258*a - 42. Let z(j) = 23 + 5*j + 31 - 14 - 267*j. Let l(y) = -5*w(y) - 4*z(y). What is the derivative of l(t) wrt t?\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -418602 or -418611?\nAnswer: -418611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**27*b**7)\/((b\/(b\/b**(-1\/33)))\/b*b*b**(-24)*b) assuming b is positive.\nAnswer: b**(1882\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 692 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93807193.\nAnswer: 7877, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*i = -3, -3*n + 2*i - 1 - 8 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-9)*6786\/12. Let l = r - 263. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4 - 14284*b**3 + 26*b**2 + 185668*b - 171408 = 0?\nAnswer: -7142, -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-59)\/(-3) - (-3)\/9. Suppose 2*a + 2*j = q, -3*a - j + 34 = a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46b86 (base 14) to base 13\nAnswer: 60619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*v**3 - 319*v**2 - 1014*v**2 - 3409*v**2 - 13*v**5 wrt v.\nAnswer: -780*v**2 + 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 - 8*y + 3. Let n be j(-6). Let h = 336 + -2671\/8. What is the common denominator of h and (-1)\/(54\/n) - -2?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqbn when four letters picked without replacement from bnbqnbqbbbbbbnbbqbb?\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2282 + -1450. What is the remainder when ((-21)\/14)\/((-6)\/y) is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 163, 161, 159?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47)\/(-987)*((-360)\/16)\/(-15)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26335, 26306, 26257, 26188, 26099, 25990?\nAnswer: 25861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*-1*(-15)\/9. Let n = -0.0427 - -5.4227. Let z = 2.38 - n. Which is the nearest to z? (a) -5 (b) 0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12210231 - -3?\nAnswer: -12210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*k*q**2*r**2 + 5*k*q - 4*k*r**2 + 12*q**3*r**2 + 114*q**3*r wrt r?\nAnswer: 20*k*q**2 - 8*k + 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 + 550 - 539 - 2*x**4)*(86 - 26 - 30)*(-2*x + 0*x + x).\nAnswer: 60*x**5 - 330*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/480 and 73\/960?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -340, -615, -962, -1381?\nAnswer: -1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -277 + 276.99999618. Round x to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16015?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 223 or 68\/19?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-9)*300\/125. Solve 322 = x*o + 338 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45540 and 2718?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25492401 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/3, 2, -0.063.\nAnswer: -1, -0.063, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*h - 30 = 4*g, -2*h = 4*g + 6. Let l be (-8)\/(-12) + 2\/g. Solve f + f = l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f - 64 + 24 = -13*f + 3*n, 2*f - 2*n + 20 = 0 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408*l - 15 = 403*l. Suppose -l*s = -2*b + 7 - 12, 4*s - b = 0. Put -44, s, -2, 4 in descending order.\nAnswer: 4, s, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 2*x**2 - 2*x - 1. What is o(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 359312 and 1496.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52071576.\nAnswer: 2, 3, 2169649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1967\/11 - -179. Sort -2, 2\/9, n, 5 in ascending order.\nAnswer: -2, n, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398 = -3*z - 98. What is the greatest common factor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdlx when four letters picked without replacement from {o: 1, x: 3, d: 2, l: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 595.7 + -287459.64918.\nAnswer: -286863.94918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3\/4*b**3 - 33 - 30*b - 21\/4*b**2 = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3735 + 3735.4827. Round v to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06 and -6301.7267072.\nAnswer: -6301.6667072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.44322468 rounded to one dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34)\/(-9) + 2\/9. Let d(z) = 15*z**3 - 4*z**2 + 5*z - 10. Let c(j) = 7*j**3 - 2*j**2 + 2*j - 5. Let l(i) = -13*c(i) + 6*d(i). Calculate l(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d - 289793 - 1083061 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/2*((-41)\/(-5) + -8)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1242195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45025, 180202, 405531, 721018, 1126669, 1622490, 2208487, 2884666?\nAnswer: 3651033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410887054.\nAnswer: 2, 109, 1884803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*j + 85*j - 66 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88156\/7 + -12594. Put 49, q, -0.18 in descending order.\nAnswer: 49, -0.18, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 556 divide 3853080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71860483?\nAnswer: 1087, 66109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 6:45 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**2*k*s - 1801057*i*k*s - i*k - 3*k*s - 6131*s - 13 with respect to i.\nAnswer: -2*i*k*s - 1801057*k*s - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2944 + -1160. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1823105, -1823083, -1823065, -1823051?\n\"Answer: -2*i**2 + 28*i - 1823131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -179*s + 832, 3*s + 0*s + 46 = -2*i for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -45.348219584072?\nAnswer: -45.148219584072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -616829, -2467305, -5551433, -9869219, -15420669, -22205789, -30224585?\n\"Answer: -m**3 - 616820*m**2 - 9*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 0.1869001527?\nAnswer: 0.2130998473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*j - 6 + 4, -2*j = -2. Is 35*-22*s + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**2 + s + 180. Let p be i(0). Suppose -12*q = 6*q - p. Solve -2*w = 0, -5*j + q*w = 6*w + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*n**2 + 1281*n - 1281*n)*(0*n - 7*n**3 + 11*n**3 + 0*n).\nAnswer: 168*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -17*a**2 + 5*a - 8. Let r be f(4). Let q = -257 - r. Solve -4*i + q = -7*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 23664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-5)*180\/(-27). Let n = v + 17. Let m = 5 - n. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 620269201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 7*t**2 + 3*t + 14. Let p(d) = 305*d + 2129. Let w be p(-7). Calculate s(w).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/17)\/(u*u*u\/(u*u**(-2\/9)))*u*u**(-5)*u*u*u**(-2\/3) assuming u is positive.\nAnswer: u**(-766\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5)\/v*((v*v**(-3\/2)*v)\/v)\/v*v*(v**(2\/3))**(-4\/19))\/((v**(6\/5)*v*v*v**(2\/11)*v)\/(v*((v*v**2)\/v)\/v*v)**(3\/14)) assuming v is positive.\nAnswer: v**(-122438\/21945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(7*k - 3*k - 3*k) + (-4 - 9*k + 4)*(-2 + 2 - 4).\nAnswer: 38*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -5 (c) 0 (d) 1\/8 (e) 193 (f) -0.55\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -110, -4, 137643, 4, 5 in increasing order.\nAnswer: -110, -4, 4, 5, 137643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 325*u + 3888. Give i(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 82 = -4*p - 6*x - 225, 4*p - 115*x = 427 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2352.896 - -2326. Let v = y - -27. What is v rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*o = -2111, o - 433 + 12 = -p. Let y = -5330 + 5320. Let b be 4 - (p\/102 + y\/85). Is -1 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 8*o - 168. Let l = -11 + o. Find the second derivative of -22*h - l*h**5 + 2*h + 3*h wrt h.\nAnswer: -260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8020754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 4*a = -52, -923*a - 921*a - 926*a + 4 = -4*m - 2765*a + 1 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmmq when four letters picked without replacement from qqqqmqmqqmqqqmmq?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1091.899 and -0.002.\nAnswer: -2.183798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 19*k**2 - 6. Let t(q) = -4*q**2 + 1. Let l(b) = -2*o(b) - 11*t(b). Suppose 0 = 4*m - 16 - 4. Suppose 5 = m*i - 2*p, 4*i = -0*p + p + 1. Give l(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.12, 1.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(50\/(-15))*2\/(-3). Which is greater: -4\/31 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14700 and 6624800?\nAnswer: 19874400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = 59*a + 81830. Which is greater: a or -1170?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a (base 13) to base 16.\nAnswer: -f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 457*j**2 - 1434*j**2 - 151*j**2 - 162*j**2 - 1078*j**2 in the form u*j**2 + g*j + d and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1017 + 1064 - (-2 - -42)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine thirds of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93798 and 1078110?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1142*q**2 + 111066 - 55529 - 55537 + 1673*q**3 wrt q.\nAnswer: 10038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59676.45 - 58449. Round y to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*v**3 - 507*v**3 - 315*v**3 - 482*v**3 + 212*v**3.\nAnswer: -1020*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2*r**2 + 2*r)*(-r**2 + 342*r - 735*r + 338*r).\nAnswer: 2*r**4 + 110*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one halves of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - 1 - (0 + -2). Let r = 5 - 3. Let t be r\/(-3) + 2\/q. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 8*i**2 - 5*i**2 + 7*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5560.42 + 5407. What is c rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5990*b + 5990*b + 3 - 164*b**2 as f + x*b + t*b**2 and give t.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1089 - 1073. Calculate the highest common divisor of l and 3448.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 331, 498, 665, 832?\nAnswer: 999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 1\/38, 5, -40370?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(((-10)\/(-2))\/(-5)). Suppose p = 2, a = j - 4*p + 3. Let o = j + -11. Solve -6*g + 13 = -2*m - 3*g, 5*g = -5*m + o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4159 divided by 8.\nAnswer: 4159\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - m - 4. Let u = 17 + -8. Let q = -6 + u. Calculate the remainder when q is divided by j(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*i + 3132 = -111*i - 84*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 328 - 241. What is the highest common divisor of q and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*l**2 - 170*l**2 + 3*l + 82*l**2 - l**3 + (3*l - 3*l + 2*l)*(1 + 3*l**2 - 1) to b*l + d + a*l**2 + m*l**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zddzdjtddaddjz. Give prob of picking 2 j.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/3*25\/(-5)*-3. Suppose -4*z + 7*z - 27 = -3*y, 0 = 5*y + z - o. Which is the second smallest value? (a) -1 (b) y (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 5*f = 274 - 279, 3*f + 1436 = -362*d - 5*f + 4*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x + x**2)*(5*x - 4*x - 4*x + 2*x + 0*x + 9*x - x - 5*x + 4*x + x - 3*x + x + (-3 + 3 + x)*(-6 + 0 + 5)) + x**3 + 2*x**3 - x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -b + 14, -750*p - 5*b + 5 = -748*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*m - 1888278*b + 2*m + 5132231 wrt b?\nAnswer: -2*m - 1888278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -1, 3, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -3\/14*d**4 + 0*d + 2\/7*d**3 + 2\/35*d**5 - 5 - 1\/7*d**2. Factor w(o).\nAnswer: 2*o*(o - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3489 is divided by 265.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -22. Let i(d) = -8*d**2 - 2*d + 3. Let s be i(1). Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 39) + (-13 - -8 - -11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*m - 3 + 2, 5*m + 23 = n. Suppose -n*v + 4*k = -42, -2*k + 6 = -4*k. Suppose -v*p = -5*p + 5350. What is p rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*d - 3*d + 109*d + 490*d**3 - 491*d**3 - 3 + 2*d**2 in the form n + z*d**3 + l*d + v*d**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, a: 1, c: 1, r: 1, d: 2, k: 2}. What is prob of picking 2 k and 1 d?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k - 2 = 0. Let v(l) = -2 + 13*l - 2 + 8*l**k - l**3 + 5. What is the remainder when v(9) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*i - 147*i = -50*i - 628. Put 3, 2, i, -4, -42 in ascending order.\nAnswer: -42, -4, 2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*i - 224. What is the units digit of 1248*(-1)\/(-7) - i\/(-196)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1223 - -3?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23423a (base 12) in base 16?\nAnswer: 8a74e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 14 = -3*u + 2*t, -2*u - 5 = t. Let v = u + 3. Suppose -q = -v*q - 11. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*u + 101, 0 = 5*a - 2*u - u - 161. Let q = 294 + -173. What is the remainder when q is divided by a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*v - 4. Is 11 a factor of ((-24)\/(-40))\/(v\/(-105))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.6 - 13.600000112. Round d to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/11))\/((t\/t**(-3\/10)*t)\/t*t)*(t**1)**(-1\/4) assuming t is positive.\nAnswer: t**(-381\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -3*g + 3, 0 = -9*g + 14*g + 2*j - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*i + 7. Let h be (-2 - (3 - 13)) + (-6)\/i. Let s be -2 + (-45)\/10*(-8)\/h. Which is the nearest to 0? (a) s (b) 9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.15935 + -0.2.\nAnswer: -2.35935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.186792469 rounded to three dps?\nAnswer: 0.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, 2\/7, -5, -36, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1289\/57 at most 3\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.61343459 rounded to 2 dps?\nAnswer: -2.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -383 - -394. Solve 0 = -3*y - 4*l - g, -3*y - 4*l - 21 = 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188527 is divided by 187794.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 18*n + 5 = 0. Let u(z) = 23*z**2 + 2*z + 2. Calculate the remainder when 55 is divided by u(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - (-53 - (-28 - -20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1667569 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3573 - 3219. What is the remainder when p is divided by 119?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 21. Let i be (-11 - (-3)\/u)\/(-2). Solve -d + 14 = 3*w, w - 9 = -i*d + 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, -2092, -1, -4, 5 in ascending order.\nAnswer: -2092, -4, -1, 1.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -6. Let j = 13.7 - 16. Let k = j + 3.3. Which is the second biggest value? (a) k (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 608870.52551?\nAnswer: -608875.52551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -26*a**3 - 4*a**2 - 15*a - 10. What is o(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(539) + 3 + sqrt(539)))**2.\nAnswer: 756*sqrt(11) + 19485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 7:02 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:22 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*r + 2 + 80*r + 2 - 4 - 41*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2 + 22 + 38*s - 6*s + 540*s**2. Let r be l(15). Round r to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7510248 is divided by 8846.\nAnswer: 8840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 139. Let k(o) = -88*o - 477. Let d be k(-5). Let n = d - y. What is the remainder when n is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.558 + -1.458. Let y(p) = -p + 7. Let v be y(6). Which is the nearest to 1? (a) h (b) 2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 6. Suppose 3*w + 4 = -5. Let r be k(w). Solve -4*g = -r*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47550 - -75081453\/1579. Let m = r - 8054\/83687. Do 1 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10 and -298483.807?\nAnswer: 298493.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 13*h**2 + 3*h**4 + 0*h - 12*h - 6 + 5*h**2 + 15*h**3. Suppose a(y) = 0. Calculate y.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100 + 10100?\nAnswer: -1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/2)\/((-4)\/216*-9). Solve 0 = -w*x + 2*s - 19, 4*x + 0*x = 5*s - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588)*-2 + sqrt(588) + sqrt(12))\/sqrt(4) + 0 + ((sqrt(147) + 0)*4 + sqrt(147))**2*-5.\nAnswer: -18375 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -366.\nAnswer: 1\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137*r + 2006*r + 1715*r to the form y*r + g and give y.\nAnswer: 3858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4\/7))**(20\/9)*(s**(3\/14)*s*s)**(3\/14))**42 assuming s is positive.\nAnswer: s**(-1403\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1437 + 63 = -2*o. Suppose 2*t - 4*z + o = 3*t, 2*t - 4*z - 1422 = 0. Is t a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4824 is divided by 402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 2, -2.\nAnswer: -59, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -6113?\nAnswer: 6116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 64953320649.\nAnswer: 64953320647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5901755*i**3 + 99263*i**2 + 22 wrt i.\nAnswer: 35410530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 13*t**3 - 12*t**2 - 559*t - 294. Let o(c) = -2*c**3 + 64*c. Let w(m) = -6*o(m) - z(m). Suppose w(l) = 0. What is l?\nAnswer: -7, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 18*u - 10. Let o be 1*u + (696\/(-30))\/4. Which is bigger: -5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (42\/5)\/((-5)\/(-25)). Suppose 25*q = 28*q - g. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -631, -632, -635, -640, -647?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -242 divided by 1\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111 - 1667\/15. Which is the nearest to 0.2? (a) w (b) -2\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + y = -2*k - 17, -4*k = -5*y - 11. Which is smaller: -1\/18 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -46.8. Let v = -64.004 - -0.004. Let x = v - -68. Sort t, x, -1 in descending order.\nAnswer: x, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -22.89. Let i = n + -0.01. What is the third biggest value in i, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10250477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 6:13 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**3 + 31*v**2 - 2*v - 18. Let j be w(6). Suppose -10 = 5*q + m, 0 = 3*q - 0*m - m + 14. Which is greater: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22673 - 2251. List the prime factors of m.\nAnswer: 2, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 8*i - 0*i. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:10 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 9*m**2\/2 - 3. Let a be d(2). Suppose 0 = -3*w - 0*w + a. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.902774 to two dps.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 r when four letters picked without replacement from {a: 4, r: 16}.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -11*f**7\/21 + 10*f**3\/3 - 9*f. What is the second derivative of q(j) wrt j?\nAnswer: -440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-c**2 + c**2 - 2*c**2) + (-10*c - 25*c - 15*c)*(-3*c - 8*c + 4*c).\nAnswer: 346*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4897*w - 21661 wrt w?\nAnswer: -4897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.082 (b) -4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(13) - sqrt(13) - sqrt(13)) - (-1 + (sqrt(13) - sqrt(208))))**2 - (5 + (sqrt(13) - (sqrt(13) + 0)*-4)*-1).\nAnswer: -13*sqrt(13) + 1049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 7\/4 (b) 0 (c) -3\/5 (d) 1\/6 (e) 0.2 (f) 3 (g) -0.6434\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1188 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*m - 9673 + 4294 - 14655 = 0. Calculate the highest common divisor of m and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 10:03 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22209608 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1))\/f)\/f)**(-6)\/((f*f**(-10))\/((f\/(f**5*f*f)*f)\/f*f)) assuming f is positive.\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 18947?\nAnswer: 37894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*w - 278*w = 183*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.224273 decades to years.\nAnswer: 12.24273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 359*f + 3253. Calculate n(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 35301\nAnswer: -35301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/418 and 85\/266?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 24*h = -35. Let k(g) = -5*g - 2. Let r be k(-2). Suppose 5*z + 2 + r = 0. Sort 4, z, h in ascending order.\nAnswer: h, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1047, 1394, 1725, 2034, 2315, 2562, 2769?\nAnswer: 2930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*p = 16, 4*r = 3*p - p + 24. Suppose -f + 5*f - r = 0. Solve 2*h = -f*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3*(sqrt(117) + -1)*3 + 4*(-2 + sqrt(117))*5))**2.\nAnswer: -51150*sqrt(13) + 377950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678*q - 2*q + 92243 = -920*q - 72145 for q.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4802044 is divided by 232.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 39*p - 1 - 2 - 16*p. Let u be y(-2). Let a = 77 + u. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 1)*(5*j + j - 3*j) + (-3*j + j + 4*j)*(-6 + 0 + 4))*(0 + 0 + 5*j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 3*s**2 - 32 + 37 + 16 - s. Suppose 0 = 3*n + n + 4. Determine m(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 301\/5 - 60. Let j(x) = -5*x**2 + 5*x - 16. Let d be j(4). Let a = d + 75. Which is bigger: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 27. Sort r, -0.4, -4 in decreasing order.\nAnswer: -0.4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a - 1. Let s(l) = 1229*l. What is s(v(w))?\nAnswer: -6145*w - 1229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from klkllk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-4*sqrt(1568)*2)**2 - (sqrt(64)\/(-2*sqrt(2)) + -3))*2.\nAnswer: 24*sqrt(2) + 1204260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqxjxxxrrq. Give prob of picking 4 x.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 a, and 2 k when four letters picked without replacement from {k: 5, a: 1, s: 3, g: 1, c: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 939 - 1932. What is m rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -269*v - 28250. Calculate b(-105).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 4*m**2 + 2. Let n be p(4). What is the tens digit of n*((-22)\/4)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -5606041364790?\nAnswer: 5606041364789.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - u - 105. Let m(g) = -2*g**2 + 1. What is -c(q) + m(q)?\nAnswer: -q**2 + q + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512 = 3*o + q + 151, -2*o + 254 = -2*q. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.9. Let o = 142651 + -142647. Which is the fourth biggest value? (a) -0.4 (b) o (c) n (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 5, z: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -218*n**2 + 4*n - 1. Let w be x(-1). Which is greater: -224 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 3*l + 5. What is h(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.38, 7\/6, 1\/3, 9\/653, 5, -3?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303642?\nAnswer: 2, 3, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 293 = -4*h - b, 4*h - 4*b = 364. Suppose 2*s - h = 2*l + 6, -3*l - 249 = -5*s. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -12. Let v be (r - (-51)\/(-6))*2\/3. Let d = 108 - 104. Which is the third biggest value? (a) 1\/5 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 894075?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1141524.\nAnswer: 2, 3, 37, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -779688 divided by 63\nAnswer: -12376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9.4, -2\/3, -0.5 in descending order.\nAnswer: 4, -0.5, -2\/3, -9.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2. Let c(a) = -19*a + 10. Calculate c(v(p)).\nAnswer: -38*p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -761002*k**2 + 2748*k + 81 wrt k.\nAnswer: -1522004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -769*x**2 + 14603*x + 187. What is g(19)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Let d(q) = 5*q - 4*q**2 + 5*q**a - 5*q. Let b(u) = -888 + 1774 - 886 - 50*u + 20*u. Calculate d(b(x)).\nAnswer: 900*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (-6*(0 + sqrt(176))*6)**2 + -4).\nAnswer: 1140450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4689001951 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: What is next in 1377, 1718, 2059, 2400, 2741?\nAnswer: 3082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1212, -4712, -10508, -18600, -28988?\nAnswer: -41672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130\/7 - 383\/21. Which is the third smallest value? (a) 0 (b) 2 (c) 4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264532107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15889574, -15889575, -15889576, -15889577, -15889578?\n\"Answer: -z - 15889573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 528*w + 6883. Let n be q(-13). Solve -81 = -n*v + 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**5 + 51516*t**4 - 84*t**3 + 2680419*t**2 - 19*t + 2 wrt t.\nAnswer: -120*t**2 + 1236384*t - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -222 - -221.9999944. Round v to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**4*q*z + 2*g**4*z + 153*g**3*q**2 + 4*g**2*q*z - 2*g*q**2*z - 2*g*q wrt g?\nAnswer: 72*g*q*z + 48*g*z + 918*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77548 is divided by 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -1 + 6*r - 3 - 1245*r**3 - 8 + 2 + 5*r**2 + 1244*r**3. Suppose 16 + 2 = 3*a. Let o be x(a). Is -9 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13797\/263 bigger than 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -13. Suppose -x*v + 64 = -0. What is the highest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -137 - 103. Find the first derivative of 18 - b + 6 - 19 + 23*s wrt s.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 4:20 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -500 (base 11) to base 8\nAnswer: -1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8092503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w - 18. Let v be t(-7). Suppose -15*x = -v*x - 84000. What is x rounded to the nearest one thousand?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = d + 3*d. Let h(o) = o**2 - o + 1. Let w(n) be the second derivative of n**3 - 7\/12*n**4 + 0 + 3*n - 3*n**2. Determine d*w(y) + 6*h(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6335 (base 7) in base 9?\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-40))\/(2\/(-10))*11\/((-33)\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8757 is divided by 1894?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v - 8 - 4*v - 4*v. Let d(m) = 2*m**3 + 2*m**2 - m. Let x be d(-2). Is 4 a factor of f(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11524 + -1?\nAnswer: 11523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - 5*k + 2*k + (3 - 7 + 2)*(2 - 2*k - 2) + 18*k - 26*k + 15*k - 1.\nAnswer: 8*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1))**(6\/19)\/((n\/(n*n**(2\/5)*n))\/((n\/n**1)\/n)) assuming n is positive.\nAnswer: n**(98\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (7 - (3 + (6 - 6) - 5)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0*m + 2*m)*((5*m + m - 3*m)*(-3 + 0 + 1) + 1017*m - 741*m - 741*m).\nAnswer: -1413*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 7 = 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - -0.3. Suppose -5*g + 16 = -g. Let l = -13 - -119\/9. What is the nearest to t in l, g, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310 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: Suppose -4*l - j = 2268, -5*l + j - 1117 = 1727. What are the prime factors of (-6)\/(-33) - l\/22?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2641245935022094853\/107130 - -24654587276968. Let d = b - -3\/17855. Let j = -359 - d. Calculate the common denominator of 49\/10 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 7:40 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -15\/4 (c) 0.1 (d) -0.69 (e) -359\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/3, 11, -6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 798640 to the power of 1\/2, to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/630*12\/16*3*2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657824?\nAnswer: 2, 61, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 9:42 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaayaaaaayaayayyaaa. What is prob of picking 3 a?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1180)\/350*14\/240*-1. Let w = -4\/75 - u. Sort -3, 4, w, 2 in decreasing order.\nAnswer: 4, 2, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + (2 + sqrt(242))**2 + 4) + 4)*-3.\nAnswer: 264*sqrt(2) + 1482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -41 - 21?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5*n - 216680 = -216694, 3*r - 18 = -3*n for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1061, 4239, 9553, 17009, 26613, 38371?\n\"Answer: o**3 + 1062*o**2 - 15*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 58855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 take away -0.102754?\nAnswer: 82.102754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 589820621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*m - 94*m + 2*u + 44 = 0, 32 = 4*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1472, -1474, -1476, -1478, -1480, -1482?\n\"Answer: -2*w - 1470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14632 and 583864.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.11 + -0.11. Sort 3\/8, 0.1, s.\nAnswer: 0.1, 3\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112000010222 (base 3) to base 13.\nAnswer: -98624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 43, 80, 141, 232, 359?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(-19)\/(-475)*(-770)\/(-66)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -167, -164, -151, -122, -71?\n\"Answer: i**3 - i**2 - i - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39\/7642 + -198221\/2338452. Calculate the common denominator of -23\/81 and r.\nAnswer: 5508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*j**4 - 190*j**3 - 592*j**2 + 160*j = 0. What is j?\nAnswer: -20, -4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3\/9 + 157030*q**2\/9 + 6591814*q\/9 + 6434786\/9 = 0. What is q?\nAnswer: -78473, -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -621 and -657699434.\nAnswer: -657700055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/2 - 1645*h**3 - 1805112*h**2 - 661870016*h - 1316532736.\nAnswer: -(h + 2)*(h + 1096)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*g - 37*g - 37*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 3}. Give prob of picking 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 10*l**2 - 9*l + 4. Let p be x(-9). Suppose -6 = 2*w - p*w. Let k = w + 1. Solve q = k*q - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from {y: 2, n: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25 + 74*q + 27*q**2 - 20*q**3 - 7 + 41*q**2 - 18*q.\nAnswer: -4*(q - 4)*(q + 1)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -17\/2. Let g = 101\/4251 + 3\/109. Which is the third biggest value? (a) -4 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202232312 (base 4) in base 10?\nAnswer: 142262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6427807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, l: 1, r: 4, u: 1, p: 1, t: 9}. What is prob of picking 1 r and 3 t?\nAnswer: 112\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -203*d - 3. Let k(l) = 306*l + 4. What is 5*k(f) + 7*r(f)?\nAnswer: 109*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1485, -3389, -5293, -7197, -9101?\nAnswer: -11005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -325209459 divided by 108403153\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 5*y**3 + 2*y**3 - 4 - 4*y**3. Suppose 8*t - 2080 = -0*t. Let s = t + -256. Let v(f) = -f**3 - 1. Determine s*v(c) - k(c).\nAnswer: 3*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(243)*-6*3)**2.\nAnswer: -472392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/22550 and 167\/55860.\nAnswer: 125964300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -52 + 54 - (-2 + 78\/19)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 + (-145)\/15)\/((-2)\/27). Suppose 6*r - 111 - s = 0. Let y = -5 - -10. What is the greatest common divisor of y and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -33 + 17 - -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 16. Let d(k) = -3*k + 4. What is the remainder when 22 is divided by d(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171254352*0.1\nAnswer: 17125435.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 221 and 1\/12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13\/8 - -3\/2. Which is the second smallest value? (a) f (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168263646 - -0.09.\nAnswer: -168263645.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2651*h + 5280*h + 2*h**3 - 2629*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -46727.4933 rounded to the nearest 1000?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131 - 143. Suppose -20 = -4*l - l. Put -0.2, l, z in ascending order.\nAnswer: z, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36284399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(3 + -1))\/2. Suppose x = 8*l - 5*l - 9. Let u be 4 - l - (-12)\/(-15). What is the biggest value in 4, -3, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1636*b**2*l**4 - 5*b**2*l**2 - 29*b**2*l - 2*b**2 wrt l?\nAnswer: -39264*b**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 37 = -7*u. Suppose 0 = 3*k + 5*l + 15, 3*k - l + u = -2*l. Suppose k = -p - 0*r - 5*r + 54, 0 = -p - 2*r + 69. What are the prime factors of p?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**2. Let m(z) = -457*z + 2. What is m(v(c))?\nAnswer: 2742*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4350 = 1034*v - 485*v - 491*v for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2*14521.9\nAnswer: -29043.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8a71db (base 14) to base 10\nAnswer: -4706349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3 + 690724*n**2 + 3453320*n - 34535200 = 0 for n.\nAnswer: -172676, -10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*x = 22, -y - 3*y - 67 = x. Let s(i) = i**3 + 16*i**2 - 19*i + 2. Is 9 a factor of s(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 938 - 194 = 28*p - 208 + 2828 for p.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + (2 + 2 - 2). Let m be g\/((2 + -1)*-2). Find the third derivative of 6*s**5 - s**m - 7*s**5 - 3*s**5 wrt s.\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 7*r**2 - 10*r - 5. Give c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**3 - 62*x**2 + 5. Let u(s) = 5*s**3 - 93*s**2 + 7. Calculate -7*r(c) + 5*u(c).\nAnswer: 4*c**3 - 31*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -0.5, 12, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p = 28*p - 9565. Let m = -1328 - p. Calculate the remainder when 16\/(-40)*m\/(-6)*2 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 14, 6, -6, -22?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1642, -2962, -4276, -5578, -6862, -8122?\nAnswer: -9352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 227086714 and -3.\nAnswer: 227086711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13589 is divided by 2324.\nAnswer: 1969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1642 (base 7) to base 6.\nAnswer: -3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 12 = 0, -4*t - t = -m - 19. Let a(d) = -t*d - 5*d + 2*d - 3*d. Let p(f) = -6*f + 4*f**2 + 6*f - 2*f**2. Calculate p(a(o)).\nAnswer: 162*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227624, 455261, 682894, 910523, 1138148, 1365769, 1593386?\nAnswer: 1820999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*l + 31 = 0, -5*w + 39 = -10*l + 7*l + 28 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 4*o + 3. Let n be z(-2). Suppose 57 + 12 = n*j. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843981127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 197818 by -1312.\nAnswer: -98909\/656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -3 (c) 0.1 (d) 1\/4 (e) 2901 (f) 3 (g) -892\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(300) + 2 + -1 + sqrt(300) + -4 + (-2*-1*sqrt(300)*-2)**2 + 1.\nAnswer: 20*sqrt(3) + 4793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 241?\nAnswer: 24.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -214.5 + 214.9. Sort 4, 33, 1\/2, y.\nAnswer: y, 1\/2, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*a - 3*j, -5*a + 243434*j = 243433*j + 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67597 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3, -0.4, 0.07, -0.3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 15 = 3*q. Let o(l) = -l - 4. Let b be o(-8). Solve -q = 4*c + 4*r - 37, b*r = 3*c - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 194 + -119. Suppose -6*z = -z - j. Suppose 0 = 5*q + z, -3*v = -7*v + 5*q + 43. What is the smallest common multiple of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-98)*2*14\/(-108)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 27*p**2 + 164*p - 139. What is c(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48041316 by 8802.\nAnswer: -5458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*-4*2\/40)\/(1\/16).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -67. Let n(i) = -8*i**2 - g*i - 4*i**3 + 1 + 3*i - 13. Let f(c) = -3*c**3 - 8*c**2 - 8*c - 11. Let a(p) = -5*f(p) + 4*n(p). Calculate a(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31b41 - 0?\nAnswer: 31b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43539.\nAnswer: 3, 23, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 21 = -3*t, -5*t + 3 + 64 = 4*p. Let r = p + -2. Suppose m + 3*m = r. Solve -m*o - 4 = 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8649 and 23157?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + -4 + ((sqrt(2299) + -1 + -2 - sqrt(2299))**2 + (1 + sqrt(2299))*1 - -3*(sqrt(2299) + -1)*2)).\nAnswer: 4 + 308*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2926131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3851 + 977 = 4*y. Suppose -3*i - 94 + y = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*u - 1341 + 1341.\nAnswer: -56*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*y + 5*y**3 - 2*y - 19 - 23 + 6*y**4 + 53 wrt y?\nAnswer: 72*y**2 + 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven tenths of a decade?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k**3 + 6*k**2 + 24*k + 52. Let z be u(-8). Let g = z - 1333. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3249030329?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 3345 - 4371. Calculate the smallest common multiple of 42 and o.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*a**5 - a**2 + 3*a**2 + 4*a**2 - 3*a**5 wrt a?\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 - 47.946. Round c to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 102.09?\nAnswer: -85.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 11:04 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/30 - 2712\/(-90). Calculate the highest common divisor of w and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18841*k**4 + 3*k**3 - 4*k**2 + 3*k + 7467 wrt k.\nAnswer: 452184*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/4 - 46\/40 and -121\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3544092.42 rounded to the nearest 100?\nAnswer: -3544100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3*3 + -35 + 8. Let z = m - -20. What is z rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21660 by 2.\nAnswer: 10830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, e: 1, s: 1, g: 4, f: 3}. What is prob of picking 1 t, 1 s, and 1 f?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 853514 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2. Let o(w) = -w**2 + 116*w - 4. Calculate o(b(u)).\nAnswer: -25*u**4 + 580*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4721*g - 4896*g + 3983 = -3192 for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v. Let n(d) = 2*d - 6. Let t(c) = -4*h(c) - n(c). Let f be t(-3). Suppose f = -m + 7*m - 4602. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 883222552 to the power of 1\/3, to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/45 + 1\/3. Let p be ((-2)\/((-24)\/(-698)))\/((-3)\/9). Let y = -175 + p. What is the nearest to y in 1\/3, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95664039 is divided by 4473.\nAnswer: 4461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31\/39 - -361\/429. Let g = l + -32\/33. Let z = -0.6 + 1.1. What is the third smallest value in -0.2, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.861 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7893213 years in months?\nAnswer: 9.4718556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 153*s**2 + 6*s + 9. Let b be 16\/56 + (-27)\/21. What are the prime factors of z(b)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/36 and -73\/20469884.\nAnswer: 184228956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-218)\/(-120) + (-1)\/((-15)\/(-10)). Let f = i - 3\/4. What is the closest to f in 0.4, -5, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 7. Let g = 21 + -25. Let s be v(g). What is the third derivative of 39*k**3 + 4*k**2 - 30*k**3 - s*k**2 wrt k?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {o: 3, u: 1, y: 1, s: 1, k: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 339*q**2 + 25*q**2 + 152*q**2 + 3.\nAnswer: 516*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**10)**(-7)*l\/((l\/(l*l*(l\/(l\/((l*l\/(l**4\/l))\/l)*l*l))\/l*l))\/l)*l**(-3) assuming l is positive.\nAnswer: l**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1333 = 240*n + 1547 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f + 51. Let o be p(-6). Suppose o*z - 17 = -32. Sort -5, -2, 9, z.\nAnswer: -5, -2, z, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (sqrt(304)*1)**2 + 3) + 1.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -6)\/(0 + 9\/24).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533716.\nAnswer: 2, 29, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 326847 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {i: 2, l: 3, f: 4, p: 4, b: 1, e: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-2)\/((-10)\/65). Suppose 7*w + b = 30. Suppose w*p = -3*j + 17, p - 3*j + 0 = 4. What is the highest common divisor of 28 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3795 = -2*z + 499, -3*q = -4*z + 8643. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*u + 2*q + 162, 4*u + 192 = 2*q. Let s = u + -21. Let a = s - -74. Solve -f = 4*r + 7, -5*f - 2 = 2*r - a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -1995?\nAnswer: -1999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(916\/79692).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -48.3. Let o = -4.3 - h. Let x(z) = -z**3 - 4*z**2 + 6*z + 5. Let q be x(-5). Which is the smallest value? (a) q (b) o (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1054105?\nAnswer: -105410.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2422788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 993, 932, 871, 810, 749, 688?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/109818 and -127\/292848.\nAnswer: 878544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -100*5*(-18)\/48. Which is bigger: 189 or j?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((1 + 0)*-1328)\/(2\/(-2075)). Round f to the nearest ten thousand.\nAnswer: 1380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 32, -1\/2, 0.4, 10, 1\/5, -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2*0*(-8)\/16. Suppose m = -4*k + y + 1872, -k = -3*k + y + 938. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5299986800 + -12\nAnswer: -5299986812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**3 + 3*r**3 + 5 + 177*r - 4*r**3 - 178*r to p + i*r**3 + v*r**2 + w*r and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-3 - -3) + 2 - (144 + -139)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 4*h - 12. Let d be n(7). Suppose -5*c + d*c = 104. Let t = c - -46. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400730 is divided by 83.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ba + 126?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 34*j. Let w(t) be the third derivative of t**4\/24 - 5*t**3\/3 + 6344*t**2. Determine r(w(b)).\nAnswer: 34*b - 340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*v**5 - 9*v**4 + 4*v**2 + 2*v?\nAnswer: -2280*v**2 - 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155012 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39458448 a multiple of 2274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*l - 6*l. Suppose 0 = 5*a - 3*j - 2264 - 866, -3*a - l*j = -1859. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + t**2 - t**2)*(2 - 4 - 3*t - 1).\nAnswer: 6*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.26 - 0.22. Let y(s) = -7*s**2 - 57*s - 6. Let f be y(-8). What is the second smallest value in f, 0.4, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1508 and 8632?\nAnswer: 250328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 207*g**3 - 686*g**2 - 4*g - 8. Let o(c) = 2*c**3 - c - 2. Let m(k) = -4*o(k) + v(k). Find the third derivative of m(a) wrt a.\nAnswer: 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g + 2. Let h(y) = 34*y + 6. Calculate 7*c(p) - 2*h(p).\nAnswer: 9*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -12682046.96 to the nearest one thousand.\nAnswer: -12682000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 65*n**3 - 15*n**2 + 18*n - 3. Calculate y(1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2) + -1)*-10. Suppose 0 = -4*x + 9 - 1. Let h be -1*(3 - 2 - x). Put 0, p, h in decreasing order.\nAnswer: h, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 2. Let x(q) = 12*q**2 + 27. Let o(a) = -54*d(a) + 4*x(a). Let v(s) = -2*s. Give o(v(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25021229 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 4 - (-33 - -19)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5148 (base 9) to base 13\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 7)*(1 - 1 - 2*i) + (2 + 3 - 6)*(-2*i - i - 3*i) - 4*i + i + 4*i + i + 4*i - i.\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3*u + 182 - 2182, -3*o - 4*u = -1229. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 3735.\nAnswer: 52290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -27. Let m = y - 76. Let p = -33 - m. Is p at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 255388, 255385, 255382, 255379, 255376, 255373?\n\"Answer: -3*b + 255391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3127, -12545, -28235, -50191, -78407, -112877, -153595, -200555?\nAnswer: -253751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 14*p**2 + 3*p**2 + 5*p**3 - 5*p**3 - 19*p + p**3 + 3. Let x be n(-18). Suppose 5 = x*l - 20*l. Let g(y) = -y**2 + 5*y - 3. What is g(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-1))\/(6\/(-12)). Suppose -4*z + 0*y + 122 = -u*y, 2*z - 4*y - 46 = 0. Solve 4*j = s - 20, -5*j + 4*s - z = 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5206 - 3*y**2 + 9*y**2 + 5204 - 5*y)*(17 + 25*y - 17) to p + v*y**2 + q*y + i*y**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6554, -68437, -236400, -563483, -1102726?\nAnswer: -1907169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(396)*-2 + 6*(2 + sqrt(396)) + -3))**2.\nAnswer: 12096*sqrt(11) + 229860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxccccmyccym. Give prob of picking 2 m, 1 c, and 1 x.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzz when three letters picked without replacement from fqzfz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 853 = 3*l, 189 = 3*i + 2*l - 472. Calculate the remainder when i is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 13 - -13 - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -0.22216.\nAnswer: -4.77784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 7 + 2 - 456*w + 700*w + 0 in the form l*w + i and give l.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30569739 to the power of 1\/2, to the nearest integer?\nAnswer: 5529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.45 + 0.15. Let m = 0.7 - x. What is the closest to -0.2 in m, 3\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 3*p**2 - 6*p - 11. Let x be q(5). Suppose -14*k = -x*k. Which is the smallest value? (a) 1\/12 (b) k (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3331.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7 - ((-210)\/9)\/10 and -19\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -403 + 402. Let f = -1.13 + 1.1. Which is smaller: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*s - 23 = -4*p, 0 = -4*p - 3*s - 7. Suppose -p*z = v - 1314, 1961 = 3*z + v + 3*v. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 4:28 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/92771820 and -22\/75.\nAnswer: 463859100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10*4*(-10)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3133054968203+-40\nAnswer: -3133054968243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 399.24 millimeters?\nAnswer: 0.00039924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*o - 2*o**3 - 127*o - 31*o + 199*o.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 72097116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 391875 times 224?\nAnswer: 87780000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 202143831.9999969 - 202143851. Let p = 16.2 + 2.8. Let q = m + p. What is q rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of w**2 + 1441 - 42*w + 328*w + 294*w - 173*w wrt w?\nAnswer: 2*w + 407","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 * -6425176.\nAnswer: 391935736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.07, 0.1, -5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2912.631 milligrams to nanograms.\nAnswer: 2912631000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5426074 seconds in milliseconds?\nAnswer: 542.6074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -130043890, -130043892, -130043894?\n\"Answer: -2*b - 130043888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 3*v**2 - 2*v. Suppose l - 5*n + 1 = 25, -24 = -3*l - n. Let a(y) = 4*y**3 - 13*y**2 + 9*y - 1. What is l*s(t) + 2*a(t)?\nAnswer: -t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -447473*h**3*z**3 + 86*h**3 - h**2*z**3 - 188545585*h**2 wrt h?\nAnswer: -2684838*z**3 + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84669 and 338?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/9744 and -173\/3353154.\nAnswer: 26825232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + c**2 + 2*c + 232. List the prime factors of h(0).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 16*w + 17. Suppose 0*z - 38 = -4*z + t, -4*t - 17 = -z. Is u(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67699 is divided by 14666?\nAnswer: 9035","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(3 + sqrt(32))**2 + 3 + 3.\nAnswer: 72*sqrt(2) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*h**4 - 30*h**4 - h**5 + (-4 - h**3 + 4)*(8*h**2 - 55 + 55).\nAnswer: -9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 1:10 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3451, -0.1, 0.028, 3\/7, 3, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 11*w - 20. Let s be -7 + 11 + (-8)\/(48\/(-18)). What is m(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaahaha. What is prob of sequence ha?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 4 + 5455*n - 20065*n + 6 to f*n + u and give f.\nAnswer: -14610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 9*n**2 - 3*n**2. Let b(f) = -2*f**3 - f**2 + f + 1. Let x be b(1). Calculate t(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z - 2*z)*(2 - 4 + 1) - 196 - 202 + 402 - 27*z.\nAnswer: -28*z + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13561519?\nAnswer: 3001, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1095*c**6 + 6522*c**6 + 2642*c**2 + 3684*c**2 + 436*c**2 wrt c.\nAnswer: 651240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 - 2 - (462 - 506).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 86151, 86482, 86807, 87126, 87439?\n\"Answer: -3*v**2 + 340*v + 85814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1872) - ((sqrt(1872) - (sqrt(1872) + 4*3*sqrt(1872))) + sqrt(1872)))*-2 + -3)**2.\nAnswer: 5184*sqrt(13) + 9704457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one fifths of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503988679.\nAnswer: 59, 1609, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -8 (b) -16 (c) -12 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.175 - -0.494. Let p = h + -0.619. Put -3, 27, -4, p in descending order.\nAnswer: 27, p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2322 = -5*x + 88. Let d = x - 481. Solve d = g - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 51*m**2 - 6120186*m + 3960099 = 0.\nAnswer: 11\/17, 120003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3\/3 + 25616*f**2\/9 + 15162*f + 42640\/9 = 0?\nAnswer: -4264, -5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 32 = -2*b, -4*b - 4*p + 36 = -5*p. What are the prime factors of (b - (-188)\/(-20))\/((-1)\/(-2705))?\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -116407 and -0.3.\nAnswer: 34922.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 11*k**2. Determine r(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 96\/9*3\/2. Let j be -2 - (-3)\/(18\/c). Determine p, given that j + 4*p**2 + 2\/3*p**4 - 8\/3*p - 8\/3*p**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -373216*l**3*w**2 - 9*l**2*w**2 - 3*l + w**2 - w - 24 wrt l?\nAnswer: -2239296*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4204663222?\nAnswer: 2, 2287, 919253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 15 = 3*i. Let k = 19 + i. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 74378, 74369, 74352, 74327?\n\"Answer: -4*r**2 + 3*r + 74379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1040 and 7\/40?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqek when four letters picked without replacement from sqqkaem.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*20\/15. Let x(d) be the first derivative of 5*d**3 - d**2 + 1. Let r be x(k). What is r rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32669 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**6\/600 - k**4\/40 - k**3\/15 + k**2 + 3. Let b(h) be the second derivative of n(h). Factor b(j).\nAnswer: (j - 2)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10\/11, -3, 0, -7, -16?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 159493843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*(-6)\/18 + (-1 - -797)?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -4, -1, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 0)*(-5)\/(-10)*0. Solve g = 2*u + 3*u + n + 9, -2*n = 2*u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(238)*2)\/sqrt(252))\/(-1*sqrt(50) - (sqrt(18)*-2)\/sqrt(9)).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4287*o**3 - 7867.\nAnswer: 12861*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*8329.\nAnswer: 24987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*r - 7766 - 5242. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((-17)\/((-918)\/(-45))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/15 + 537\/15. Let t(m) be the second derivative of m**4\/12 - 2*m**3\/3 - 3*m**2\/2 - m. Let n be t(-2). What is the highest common divisor of n and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35433)\/(-2286)*(-39)\/(-186)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 1 (c) -1.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3897967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m - 3. Let i be j(3). Let u be ((-5)\/(-2))\/5*i. What is the derivative of 0 + 1 + 0*a**3 - 2 - u*a**3 wrt a?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3017, 5356, 7695?\nAnswer: 10034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k + 3*k)*(3*k - 3*k - 2*k**4) + (-2*k + 2 + 0*k - 4)*(2 + 0 + 0)*(-k**4 + k**4 - k**4).\nAnswer: -4*k**5 + 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125858564.\nAnswer: 2, 13, 59, 41023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -78 + 22. Let b be 1\/(-4) - 91\/k. Solve -5*f + 6 = b*w, -w = -4*f + 2 + 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169 is divided by 37.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 3*c = -4. Calculate the smallest common multiple of 38 and c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 8*b + 21. Give a(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*m + 5*v - 15, m + 5*v = -21. Let j be (-4)\/20 + m\/(-5). Solve -j = y + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -4. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*j. Suppose -q = -116 - j. Let r = 13 + q. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -17*p. Let y(f) be the first derivative of -f**4\/24 + f**2 + f + 28. Let u(t) be the second derivative of y(t). Calculate b(u(h)).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 4*p + 10 + 11 - 60 + 17.\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = r + r. Let g = r + 7. Suppose -2*u - g*b + 245 = 0, u - 3*b + 0*b - 106 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 742403686 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(57)\/(sqrt(3) - sqrt(75))) + sqrt(133)\/(sqrt(21)\/sqrt(3)) + -2)**2.\nAnswer: -9*sqrt(19) + 1603\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9646*h + 9346*h - 19021*h.\nAnswer: -29*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 394125479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32068559*-31.\nAnswer: 994125329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.1 + 15. What is the second biggest value in h, -2\/3, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275 divided by -5.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3131061057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-43)\/((x\/(x**(-44)*x))\/x))\/(x*x**10*x*x**(-49)\/x) assuming x is positive.\nAnswer: x**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -68. What are the prime factors of ((-16)\/24)\/((w\/21)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*d**5\/8 + 6333*d**4\/8 - 6003*d**3\/8 - 30441*d**2\/8 - 8493*d\/4 + 126 = 0. Calculate d.\nAnswer: -1, 2\/37, 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*z**2 - 472*z**2 - 417*z**2.\nAnswer: -640*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 + 2 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -3\/5 (b) -1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 - (-32538)\/522 - ((-8)\/(-6))\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -20 (b) 2\/13 (c) 1\/7 (d) -307\/2 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**3\/6 + 2*x. Let b(u) = -8*u - 6. Let l(j) = -65*j - 50. Let o(g) = -25*b(g) + 3*l(g). What is t(o(n))?\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021825?\nAnswer: 5, 7, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 1 + 250\/(-2). Let s be q\/(5\/(-1))*(-4)\/5. Let m be (-4)\/s + (-20098)\/20*-2. What is m rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7990\/7 or -0.2?\nAnswer: 7990\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 0*u + 0*u**3 + 8 + 5*u**2 + u**3 + u + 7*u**2. Let r be f(-12). Let m be ((-5)\/r)\/((-9)\/(-144)). Calculate the greatest common factor of 50 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c5ae3 (base 16) in base 14?\nAnswer: 3652dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 3833945*w**2 + 276047928*w + 4968886032.\nAnswer: -(w - 3834017)*(w + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6517 + -6505. Let g(s) = 8*s + 12. Let f(v) = 4*v - 7*v + 6*v + 5. What is t*f(d) - 5*g(d)?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**8\/80640 + j**5\/60 + 3*j**2. Let w(b) be the third derivative of u(b). Let w(i) = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 - 37*n. Let p(l) = -4*l. Determine y(p(g)).\nAnswer: -32*g**2 + 148*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9286, -37131, -83542, -148519, -232062?\nAnswer: -334171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 i when four letters picked without replacement from {j: 1, h: 1, y: 6, v: 1, i: 3, e: 1}?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.054, 5, 4, 3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence faf when three letters picked without replacement from {a: 6, f: 5, t: 2}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 47, -49, -52 in descending order.\nAnswer: 47, 4, -49, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -159557 or -2?\nAnswer: -159557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -2672221942927?\nAnswer: 2672221942927.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Let r(n) = 5 - 11 + 6*n**2 + 1. What is r(q(s))?\nAnswer: 6*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + sqrt(2736)*2 + -2 + 3)*-1.\nAnswer: -24*sqrt(19) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.80541 rounded to 2 dps?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2698235\/318 - 8485. Let p = -2263\/106 + x. Let v = p + 521\/24. Is v smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xedyemr. What is prob of sequence ymd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/261 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9207063?\nAnswer: 3, 269, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132\/65 - -10\/13. Let n = t - 47\/15. Suppose 2*j + 7 = 3*h - 6, 4*h - 19 = 3*j. Which is greater: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.635894ml?\nAnswer: 0.000635894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1607540*z**3 + 1663889*z**2.\nAnswer: 9645240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624303?\nAnswer: 3, 71, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -290 (b) 3\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a*a\/a**(5\/3))\/a)*a**(3\/8)*((a\/(a*(a*a**(-1))\/a))\/a)**(-14) assuming a is positive.\nAnswer: a**(49\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -212023023 (base 5) in base 15?\nAnswer: -129593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-8)*s*s**(-10))**(-1\/3))**(-4\/17) assuming s is positive.\nAnswer: s**(-64\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/153 and ((-20)\/(-216))\/(((-243)\/(-252))\/(-3))?\nAnswer: 4131","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3717 - 3721. Which is the fourth smallest value? (a) i (b) 2\/5 (c) 0.02 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 plus 0.15?\nAnswer: -94.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 115\/(-105) - (-19)\/(2394\/12). Let o be 2\/(-5) + 1*(-119)\/(-35). Put x, o, -7 in increasing order.\nAnswer: -7, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108401*f - f**4 - f**3 + f**4 + 3*f**3 - 108402*f + 46*f**6 + 70*f**2 wrt f.\nAnswer: 5520*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 1483 = 185*d, 21*d = 20*d - 2*n + n - 9 + 2 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iai when three letters picked without replacement from awbaaiiaaiaaaaa?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3113 + -1547. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 1. Let p be d(6). Suppose -3*j = -p*j - 120. Let v = j + 42. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (81\/18)\/((-12)\/(-10))*4. Let a = o + -12. Let y = 9 + -6. Solve 3*i - 15 = j, 4*j - a*j = -y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**7\/2520 + 3*t**4\/4 - 10*t. Let r(k) be the third derivative of n(k). Let b(x) = -21*x. Calculate b(r(z)).\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w. Let g(s) = 295*s. Determine f(g(v)).\nAnswer: -590*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from wjjffesl?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r = -40. Let b(g) = -9*g**2 + 5*g - 7. Let q(f) = 14*f**2 - 8*f + 11. Let c(k) = r*b(k) - 5*q(k). Find the first derivative of c(x) wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -245, -326, -369, -362?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5 (b) 1 (c) 4.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/32 and -71\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -3, -41, 311, -2.\nAnswer: -41, -3, -2, 2, 5, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2567 - -2567. Is m bigger than 1\/1049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 340 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 738.1205 minutes?\nAnswer: 44287230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 31. Let m = r - -14.1. Sort -1\/4, m, 0.\nAnswer: -1\/4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {c: 1, x: 1, w: 3, u: 2, o: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.3 (c) 0.3 (d) 3\/8 (e) -7\/8 (f) -1855\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 7*o**3 - o - 1. Let t(b) = -4*b - 5. Calculate the remainder when j(1) is divided by t(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64*-2 - (-2528567)\/20337?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -3, 1 in increasing order.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070 is divided by 373?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49501037 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0, 1\/2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.3 + -5. Let g = m + 1. Let x = -10 - -6. Which is the second smallest value? (a) 4 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10*m - 10. Let a be o(-8). Let q be (-162)\/27 + (-20)\/(-1). Calculate the highest common factor of a and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -8 (c) -3\/2 (d) -2 (e) 93326\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 9:46 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 319286 and 42?\nAnswer: 6705006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.48+-1197548869019\nAnswer: -1197548869021.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 - 3*u**2 - u**2 - u**2 to the form q*u + g + b*u**2 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6315505 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6103 at most 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3175297 divided by 109493\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3659 - 0.0341. Which is the closest to 6? (a) -41 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32058 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 15*r**2 + 24*r - 19. Let q be m(-13). Solve -5*k + 2 = q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35019 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 152 + 709*v + 2*v**3 - 350 + 198 - 2*v**2 in the form b*v**3 + c*v**2 + y + l*v and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 175, 188, 203, 220, 239, 260?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259093 divided by -2377.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13500*k - 13308*k = -3072 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 139*b**3 - 2*b**2 - 110*b + 111. Let u be o(1). Calculate the highest common factor of 11592 and u.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3137 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68959 = -37*o + 43484. List the prime factors of o.\nAnswer: 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.183 + 0.783. Which is the biggest value? (a) -1\/5 (b) 0.01 (c) l (d) -2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 1254*b + 50425. What is w(39)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*d + 182 + 187 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -4 (b) -3\/5 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.082 kilometers in meters?\nAnswer: 156082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*h**4*q**2 + 20*h**4*q + 817*h**3 + 629*h**2*q + 10*h**2 + 116*h*q**2 + 3*h*q wrt h.\nAnswer: 2184*h*q**2 + 480*h*q + 4902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/224 and -63\/976.\nAnswer: 13664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 9)\/((-16)\/4 - -3) + 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6420 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 8377 = -4*s + 8357, -4*s - 20 = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 11 - 126*m**2 - 20.\nAnswer: -126*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -146*u**5 - 5228*u + 5472*u + 138*u**5 + (-u**3 + 0*u**3 - u**3)*(-2*u**2 - u**2 + 2*u**2).\nAnswer: -6*u**5 + 244*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0 + 0*b - 3*b**2 - 1\/8*b**4 + 0*b**3 + 0*b**5 + 1\/40*b**6. What is v in w(v) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3057*l**3 - 6*l**2 + 234617 wrt l.\nAnswer: -9171*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.01, 1\/5, -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 396714000 rounded to the nearest 1000000?\nAnswer: 397000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 + i. Let c be u(1). Suppose q - 5 = 4. Let g be 178\/q + (-2)\/(-9). Calculate the greatest common divisor of c and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36760 + 54977. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 1463 (c) -140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 53, 2, 0.04, 4, 0, 1\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times 772?\nAnswer: -23932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.8184 kilometers to centimeters.\nAnswer: 9281840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 51 + -14 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244 = 123*x - 863 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*h = 88*h + 120768. List the prime factors of h\/(-6) - (-100)\/150.\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 600691, 1201386, 1802079, 2402770, 3003459?\n\"Answer: -j**2 + 600698*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in 4, 0, 2854, 3\/2, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14830845 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -2113121?\nAnswer: 2113132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/7)\/w**(7\/2)*(w\/(((w*(w*w\/((w\/w**(-17))\/w*w))\/w)\/w)\/w))\/((w*w\/(w*(w*w**(-9)\/w)\/w*w))\/w) assuming w is positive.\nAnswer: w**(99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -12\/929 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 8*y**2\/15 + 66*y - 248\/15 = 0.\nAnswer: -124, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y**3 + 7*y**2 + 6*y - 6. Suppose 82 = 5*x + 3*r, -3*x + 3*r + 8 = -22. Let m(v) = v**3 + v**2 + v - 1. Give x*m(b) - 2*p(b).\nAnswer: -2*b**3 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97575389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 - 92. Sort -5, p, 2 in descending order.\nAnswer: 2, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*l - 1792*j + 1793*j, 2*l = 4*j + 26. Which is the second smallest value? (a) 0.0848 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25051 is divided by 216.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -31f (base 16) in base 5?\nAnswer: -11144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxqx when four letters picked without replacement from {q: 4, x: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29959, 29966, 29983, 30016, 30071, 30154, 30271?\n\"Answer: t**3 - t**2 + 3*t + 29956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9632650 at least -9632674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from xxxqxqxxxxx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - 2525022421836?\nAnswer: -2525022421870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 8:01 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/97?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 459617044 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2274 - -2422. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.0454.\nAnswer: 0.0908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.22572 greater than 93\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3228539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17 - 13.17. Let k = 13.4 + o. Put -4, 0, k in decreasing order.\nAnswer: k, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189273, 189275, 189277?\nAnswer: 189279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5150677703?\nAnswer: 1609, 3201167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 20660000 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 111 = -4*y, t = 5*y + 4*t - 143. Suppose -13 + y = j. Calculate the remainder when 71 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -345 - -382 - (67 + -6).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*j - 16*j + 4*j + (6 - 3 - 5)*(2*j + 4 - 4))*(199 - 199 - 9*j) to the form b*j**2 + g*j + l and give b.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + q - 3*q, s + 4*q + 5 = 0. Let c(u) = 3*u**2 + 927 - u**2 - 928. Let y(w) = w - 1. Let p(g) = s*c(g) + 2*y(g). Determine p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**5 - n**2. Let d(c) = 3825*c**6 - 12*c**5 + 392*c. Let a(v) = -d(v) - 3*q(v). Find the third derivative of a(w) wrt w.\nAnswer: -459000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -412 from -3078957.\nAnswer: -3078545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 336 and -0.2?\nAnswer: -67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -92, -130, -164?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1606*c**2*k + 542*c**2 + 518733*k wrt c.\nAnswer: 3212*c*k + 1084*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**5\/4 + 9*u**4\/4 + 9*u**3\/2 - u**2 - 6*u = 0.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -889 - -837. What is the third smallest value in o, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from pappgappappaagaaap.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3520 - 2649. Solve 7*t = 878 - m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1353)\/2255*(-30 - 5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31.66 or 514?\nAnswer: 514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2. Suppose 2*w - 5*o - 250 = -w, 0 = -3*w - 3*o + 210. Let y be (-4)\/(-6)*w\/4*2. Let g(j) = -26*j + 31*j - y*j. What is l(g(p))?\nAnswer: -800*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137626*w**3 + 170*w + 174*w + 179*w - 523*w - 137553*w**3.\nAnswer: 73*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(14\/9)\/(i\/(i*i**(1\/5)*i)))\/((i*i*i*i**(-2))\/i**(-8)))**(-7\/5) assuming i is positive.\nAnswer: i**(1967\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 1, 2\/13, -11, 2, 55?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -37 + 4. Let p(u) be the first derivative of -u**2\/2 - 8*u + 15. Let t be p(g). Solve 2*n - 1 = t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -135*m - 77. Let l be a(-5). Suppose 7*w - 963 = l. What are the prime factors of w?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/54 and -43\/4066.\nAnswer: 109782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-3) + (5 + -1 - -2). Suppose 5*x + 2*a - z*a = 18, -12 = -5*x - a. Factor -5*b**4 + 0*b**5 + 5*b**x - 3*b**2 - 8*b**3 + 10*b**3 + b**5.\nAnswer: b**2*(b - 3)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-8))\/(10\/((-320)\/12))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 - -13 - 1)\/(1\/8). Solve -2*g - 22 = 2*q + 2*g, s = -q - g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3964970 is divided by 168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j = 45. Let d be (-6)\/j - (-40)\/(-42). What is the closest to -1\/4 in 1\/4, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 7*t - 4. Put -22, t, 4, -5 in ascending order.\nAnswer: -22, -5, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -935877 and 338.146.\nAnswer: -935538.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 - 2*g - 3. Let y be h(6). Is 13 a factor of y\/6 - (-6)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebvrrebevrcr. Give prob of picking 1 v and 1 c.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3789 = -3753 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*v = 16, -2*v - 12 = -3*l - 0*l. Suppose 4*j + 2*y = 0, -l*j + 3*y - 18 = -j. Sort 8, j, 0 in decreasing order.\nAnswer: 8, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 - -99. Let m(q) = -13*q**2 - q + 6*q**3 - 5*q**3 - 218 + 15*q + 204. Calculate m(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-6)\/((-4)\/(-2)). Suppose -13 = 3*b - 64. Suppose 4*f - 2*g + 5 = 17, -q*g - b = -5*f. Calculate the highest common factor of 20 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(2)*-5))\/(sqrt(560)\/sqrt(7) + sqrt(5)).\nAnswer: -sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418 (base 9) in base 6?\nAnswer: 4542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 17291332599?\nAnswer: -17291332596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 233 = -4*o, 3*t - 8*o + 11*o - 141 = 0. Is -7 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-8775)\/468))\/((-184)\/(-60)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 1, o: 2, r: 1}. Give prob of sequence aor.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 136991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -800\/99 - -181229\/22374. Calculate the common denominator of 29\/2 and g.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1214 + -861. Suppose 29*v - 33*v = -c - 2352, -3*c - 1166 = -2*v. Let a = y - v. What is a rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*p - 3842 - 277*p + 130*p to the form v*p + r and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 = -0.5671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66213 is divided by 11033.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 + 2.399981. Round y to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 10*v**3 + 14*v**2 - 14*v - 14. Let u(h) = 4*h**2 - 8. Let f be u(-3). Let c(i) = -2*i**3 - 3*i**2 + 3*i + 3. Determine f*c(a) + 6*p(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -204 + 2654\/13. Let f(p) = -3*p - 1. Let x be f(-1). Let n = -1208.99 + 1209. Which is the nearest to n? (a) y (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -18*b + 3 - 16*b - 9*b + 46*b + 2*b**2. Let w(f) = -3*f**2 - 5*f - 5. What is -8*j(t) - 5*w(t)?\nAnswer: -t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 476 by -28.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 87\/21)\/((-30)\/(-42) + 1). Let x be -1*2*2\/4. Which is the third smallest value? (a) x (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u - 10. Suppose 0 = -0*o + u*o. Suppose c + 2 = -s, -2*c - 6 = -c + 2*s. Solve 4*r = -3*v - o + 2, 2 = 2*v + c*r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3))**(26\/5)*((y\/((y\/(y*y**(-5)))\/y))\/y)\/y*y\/(y\/y**(-3)))**43 assuming y is positive.\nAnswer: y**(-4042\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4290, 17160, 38602, 68616?\nAnswer: 107202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*m*t**2 - 81*a**2*m - 3*a**2*t**2 + 6*a*m*t**2 + 22*a*m*t - 8*a*m + m*t**2 wrt a.\nAnswer: -4*m*t**2 - 162*m - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/24000 and -7\/8800?\nAnswer: 264000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 26) + 1007 + -931\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.89 + 3.49. Which is the third smallest value? (a) 0.02 (b) i (c) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63.77 + -63.7. Let k = 77.93 + m. Do 0.4 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51905942?\nAnswer: 2, 11, 1249, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 - -95. Calculate the remainder when 32 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.3, 0.3, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 98868509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*2*(-5)\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.24\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 1, f: 9, s: 8}. Give prob of picking 1 s and 1 l.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-198)\/165*(-5)\/56)\/((-360)\/84)\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 3)*(2*n - 2*n - n + (0 - 1 + 3)*(-3*n + 3*n - 2*n) - 4 + 3*n + 4) in the form f + d*n and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -508*h**2 - 5*h + 56. Let s(f) = -f + 11. What is -5*s(n) + w(n)?\nAnswer: -508*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 54, 53, 52, 51, 50?\n\"Answer: -a + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-4\/5))**36 assuming m is positive.\nAnswer: m**(216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27231, -27227, -27221, -27213, -27203?\n\"Answer: m**2 + m - 27233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**0*p*p*p))**(-6)\/(p\/(p*p*p*p*p**(-2)*p))**(16\/7) assuming p is positive.\nAnswer: p**(200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {n: 7, u: 6, s: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 6*r - 59. Let j(c) = 4*c**2 - 18*c - 41. What is the units digit of j(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/19 + 148*r**2\/19 - 802*r\/19 - 948\/19.\nAnswer: 2*(r - 6)*(r + 1)*(r + 79)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 1 - (-50 - -3). Suppose -2*q = -0*q - n. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 110037 to the nearest one thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-238)\/(-612)*-6)\/((1\/(-9))\/(210\/(-63)))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13714.\nAnswer: 2, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 734119.2 micrometers?\nAnswer: 734.1192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8011, -8020, -8029, -8038, -8047, -8056?\n\"Answer: -9*r - 8002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 7*w + 5. Let d(i) = 6*i**2 - 22*i + 14. Let c(l) = l**3 + 10*l**2 - 33*l - 382. Let g be c(-9). Give g*d(y) + 11*s(y).\nAnswer: -2*y**2 + 11*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 5:24 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 111*1819\nAnswer: 201909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/6 + 9*(-8)\/(-24)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(0 + 1)*1. Suppose -3*x = 2*k + 14, -3*k - b = -5*k + 2*x. Is -1\/3 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 49. Let z(c) be the first derivative of 19 + c**3 + 0*c - i*c + 4*c**3 + 5*c. Find the first derivative of z(q) wrt q.\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 14. Let n = c + 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*(sqrt(10) + ((sqrt(90) - sqrt(90)*-1)\/sqrt(9) - sqrt(10))))\/((sqrt(35) + -1*sqrt(875))\/sqrt(252)).\nAnswer: 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - h**4 + 165*h**2 - 3 + 165*h**2 - 332*h**2 to the form m + y*h**3 + c*h**4 + u*h**2 + b*h and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/15))**(-8\/5))**(-4\/9) assuming l is positive.\nAnswer: l**(416\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 490 in -4\/3, 4\/11, 2362?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/19 + 42 + -37.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.33 - -0.03. What is the smallest value in -3, 2\/7, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 3) in base 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25005063 to the nearest integer?\nAnswer: 5001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 10*y**2 - 8*y + 18. Let x be w(-10). Calculate the greatest common factor of x and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b + 4 = 0. Let v be (6\/b)\/(6\/16). Let d(x) = 5*x**2 + 199*x + 167. Let s be d(-39). Solve 5*l = 3*u - s, l = -3*u + v*u - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12979*q**6 + 47857*q**2 wrt q.\nAnswer: -1557480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(sqrt(132) - (sqrt(132) - 3*sqrt(132))))\/(sqrt(192) + (sqrt(192) - -5*sqrt(192)) + sqrt(192) + sqrt(192)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + -61. Suppose 4*p = -955 + 199. Let c = j - p. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -630*j**3 - 19*j**2 + j wrt j?\nAnswer: -3780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 27 = -m. Let q = -386 + 388. Calculate the least common multiple of m and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 30*a**2 - 84*a - 13. Let s(v) = 29*v**2 - 73*v - 13. Determine 7*f(n) - 8*s(n).\nAnswer: -22*n**2 - 4*n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -249 - -142. Let r = 111 + i. Which is the closest to 1\/2? (a) -2\/3 (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48833.81mm in centimeters?\nAnswer: 4883.381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5077\/8 - 642. Calculate the common denominator of a and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.077, -6, 1?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g*p*s*v**3 + 2*g*p*v**2 + 731*g*p*v - 2*g*s**2*v**2 + 2*p*v**3 - 984*s**3*v**3 - 2*s**3*v**2 wrt v?\nAnswer: -24*g*p*s + 12*p - 5904*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 - -132 - (-11 + 2) - 9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/4 + 619*v\/4 + 11418.\nAnswer: -(v - 264)*(3*v + 173)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-13\/4)*m**16 assuming m is positive.\nAnswer: m**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = -2*s + 246. Solve -3*x - 11 = s*a, 2*x - 3*x + a = -1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 4*n + 53, 187*c - 183*c + 63 = -3*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 + 2*n + 1. Let r be m(-1). Let b = 7 - r. Solve 0 = -2*d - 0 - b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 47*m**6\/30 - 71*m**5\/60 - m**3\/6 + 74*m**2. Find the third derivative of y(a) wrt a.\nAnswer: 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 21 = 4*l, 0*k - l + 12 = 5*k. Calculate the least common multiple of 6 and k\/(4\/4) + 36.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1401700 and 49480010?\nAnswer: 494800100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 - 2*l**2 + 13*l**4 + l**3 - 16*l**4 + 23 - 20 + 85*l to the form a + u*l**2 + t*l + i*l**4 + d*l**3 and give t.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -86, 21, -1\/6, 0.1, -3, 5?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87\/1621 or 21?\nAnswer: -87\/1621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 1, o: 1, t: 2, z: 1, k: 2}. Give prob of sequence lz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 5:20 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/((sqrt(28) + sqrt(140)\/sqrt(5))\/sqrt(4) - sqrt(7)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 6*g + 18)*(-539 + 1077 - 103*g**2 - 538).\nAnswer: 618*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -545876 + 0?\nAnswer: -545876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 13 = -5*n. Let x be n - -6*86\/4. Does 8 divide x\/16 + (-2)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/56*42)\/(15\/(-2))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*j - 22. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 - p. Let s be h(-1). List the prime factors of (1 + 0)\/(s\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252160690?\nAnswer: 2, 5, 59, 257, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 21 = v - 20, -2*v - m - 6 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 937.691181 milliseconds?\nAnswer: 0.0000015504153125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19655 less than -4.16015?\nAnswer: 19650.83985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58207844.\nAnswer: 2, 14551961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8463 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -238a06 (base 11) in base 4?\nAnswer: -1130100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911163 is divided by 1049.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 32 + m**2 - 3*m**2 + 34 - 87.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 - 3*l - 1. Let b be p(2). Suppose 8*f - b*f + 9 = 0. Sort -1, f, 4 in decreasing order.\nAnswer: f, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76824?\nAnswer: 2, 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 5*c + 0)*(-4*c + 3*c + 4*c).\nAnswer: -15*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1485310470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*s**2 + 9*s**2 - 28*s**3 - s + 27*s**3 in the form g + i*s**3 + q*s + n*s**2 and give n.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 205 and 22.\nAnswer: 4510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 5, 2, -493 in decreasing order.\nAnswer: 5, 4, 2, -5, -493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32944 is divided by 1432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 46943206 times 0.2?\nAnswer: 9388641.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 80901, 161801, 242701?\n\"Answer: 80900*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152 - 147. What is the hundreds digit of 2497\/h + 12\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1*i*(i*(i\/(i\/i**0*i))\/i)\/i*i)\/(i**(-2\/3))**(-3\/14))\/((i*i\/(i*i\/(i**(1\/5)\/i)))**(1\/36))**(7\/5) assuming i is positive.\nAnswer: i**(1399\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 217 - 78 - 144 = -6*d + 293 - 6 - 168, 0 = -k for d.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/o**2)\/((o*o**(-2\/15)\/o)\/o**(1\/7)) assuming o is positive.\nAnswer: o**(134\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 30, -11, -1\/11, 0.4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**7\/105 - b**6\/20 + b**5\/10 - b**4\/12 - 6*b**2. Factor s(r).\nAnswer: 2*r*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 3009019?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 25*j + 17640 - 18018 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1255 - -70602?\nAnswer: 67325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.72 + -1.18. Let d = m + 5.90000029. Round d to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1076 divide 20166392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 48 = 2*r. Suppose -2*y - 3 = 15. Let g = r - y. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by ((-15)\/12)\/((-1)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-329)\/(-235)*(-12)\/(-420).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 71*l**3 - 1778*l**2.\nAnswer: l**2*(71*l - 1778)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49336419.\nAnswer: 3, 11, 135913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 1154e95?\nAnswer: 1154e93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 3194. Let x(p) = 2*p - 6392. Give 13*t(z) + 6*x(z).\nAnswer: -z + 3170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32795155 is divided by 315338.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 + 2*p**2 + 4*p**2)*(-138*p**2 + 134*p**2 + 342*p**2 + 505*p**2 + 128*p**2) to the form b*p + i*p**2 + a*p**4 + c + t*p**3 and give a.\nAnswer: 4855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 62 - 206. Suppose 2*m - 2 = 6, i = -3*m - 223. Let n = r - i. What is the highest common divisor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -47 - 175. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 16221?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397*w = 338*w + 61950. What are the prime factors of w?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8345207 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**3 + 1. Let s be v(1). Suppose 0*h = 3*h + s. Let r be 40\/170 + (-24)\/204. Sort 0, r, 0.5, h in descending order.\nAnswer: 0.5, r, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1189 = -3*b, -5*b - 4*g + 2005 = -2*g. Let c = 630 - b. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - -1*(-15)\/(-5). Let l(z) = -z**3 + 6*z**2 + 10*z - 16. Let x be l(7). Solve 3*o + j + x = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 65.9, -1, 4, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 - 9.88. Let b = -14 - r. Let g = -0.1005 - 0.3995. What is the second smallest value in -0.4, g, 3, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*-4 - (sqrt(200) + 0)**2 - -6*sqrt(24)\/(sqrt(36)\/sqrt(3)).\nAnswer: -200 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, n: 9, w: 2}. What is prob of picking 2 k and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**2\/2 + 5*i - 1. Suppose 0*b - j + 8 = b, -5*b - j = -20. Suppose -b*u - 4 - 5 = 0. Calculate g(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94059924 take away 3?\nAnswer: -94059927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 6) + (0 - 6) + 77.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1392422.\nAnswer: -3\/1392422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/60 - o**4\/3 + o**3\/3 + 4*o**2. Let w be a(8). What is the first derivative of -5 + 2 + 20*x - w - 15*x wrt x?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -338, -357, -376, -395?\n\"Answer: -19*g - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (30 - 16 - -8) - -15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = p, 2*p - 3 = -3*z - p. Let w(l) be the first derivative of 4*l**3\/3 - 3*l**2\/2 - l + 20318. Calculate w(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-30)*-14 + 30\/(-75). What is the biggest value in f, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 7*p**2 - 3*p - 4. Let r be h(-7). Let o = 30 - r. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.80796 centuries to millennia.\nAnswer: 6.580796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8057)\/(-420) - (-2)\/5. Let r = -81\/4 + a. Is 3 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 + -5 - (2 + -98)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 q when three letters picked without replacement from {q: 1, l: 1, b: 2, f: 1, e: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*n + 28, 5*l + n - 64 = 6. Factor 98 - l*q + 1\/2*q**2.\nAnswer: (q - 14)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.45 rounded to 1 dp?\nAnswer: 15.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -103. Let q = -65 + r. Let w(v) = v**3 + 5*v**2 - 3*v + 6. Determine w(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624023?\nAnswer: 227, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 50\/3 - 1\/(-3). What is the highest common divisor of 187 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.501 - -18.501. Let h = -2.2 + 2.6. Suppose 0 = -2*s - 3 - 5. Which is the third biggest value? (a) j (b) h (c) 6\/11 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*f**5 - 3*f**2 - 8998*f wrt f.\nAnswer: -1920*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7930587 micrometers in kilometers?\nAnswer: 0.0000000007930587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -1) + 15\/1. Suppose -8 = 2*j, -h + 2*h = 5*j + d. Let u = 1.22 - 0.22. Which is the nearest to h? (a) u (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(12\/(-14)) + (-3)\/(-2). Suppose 3*i - 2*w + w - 9200 = 0, -6122 = -2*i - u*w. Suppose -6*b + 0*b = -i. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -228, -419, -590, -735, -848?\n\"Answer: c**3 + 4*c**2 - 210*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -810464?\nAnswer: 810462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttkkt. What is prob of sequence kt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 2. Let p be m(2). Let f = -2.57 + 3.07. Which is the nearest to 2\/5? (a) p (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 2819758512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 3*d + 6*d)*((0*d - 3*d + 5*d)*(3 - 1 + 0) + d + 2*d - 2*d).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 274 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*((-3 - -3) + -1). Suppose -5 = -m - y. Solve -5 = -5*u - 0*q + 5*q, 4*u = m*q + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73672462 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = s - 3, s - 75*o = -73*o + 8. Calculate the remainder when 168 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**5\/60 - y**4\/4 + 5*y**3\/6 - 4*y**2. Let l(s) = -s**2 + 6*s - 4. Let m(x) = -5*a(x) - 6*l(x). Calculate m(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 14504*j**2 - 21*j - 13. Let h be y(-9). What is h rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t - 45*t + 15*t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14189, 14184, 14179, 14174, 14169?\nAnswer: 14164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80628, 80634, 80640, 80646, 80652, 80658?\nAnswer: 80664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-13) + 121694\/26949. Let o = q - 2\/691. Is o less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06198943 and 0.4.\nAnswer: 0.024795772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**3\/3 - 18*m + 10. Let d(p) be the first derivative of t(p). Let c(x) = -10*x. What is d(c(s))?\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 0*o**2 + 8*o - o**2 + 2*o**2 - 88 + 97. Give k(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(110)*1*3)\/(sqrt(810) - (2*sqrt(810) - sqrt(810)) - sqrt(160)*1)*5*2)**2.\nAnswer: 61875\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/34)\/((-828)\/16). Let x = r - -168898\/24633. Let p = 1\/1550 + -18214\/2325. Find the common denominator of x and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 - -51. Suppose -3*l + l + 54 = 0. Calculate the greatest common divisor of f and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.55, -1081.9?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Suppose q + 4*x - 18 = 0, 5*x + 16 = 2*q + 3*x. Let n be (-2 + 1)*8\/q. What is the smallest value in n, l, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 6*f**2 + 3*f - 3. Let h be a(3). Suppose -3*j + h = 12. Suppose -2*m + 22 = 3*r, 3*m = j*m + 4*r - 44. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1216)*-3)**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1211707 and 56896?\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2012 + 508 = 4*j, 3*j + 1485 = 3*z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 389 + -389. Suppose 2 = -2*l - 2. Let q(j) = j**2. Let b be q(l). Solve -g + f = -b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24 and 1148327448.9.\nAnswer: 1148327424.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.950112 times 0.8?\nAnswer: -79.9600896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c + 2. Let s be x(-3). Let g(p) = p**3 - 7*p**2 + 7*p - 1. Let n be g(6). Let i = n - 3. Solve i*z - s = -1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*s + 148*s = 4*s - 267 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsmp when four letters picked without replacement from svvppsmmpvpn?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52526 and 18?\nAnswer: 472734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 12\/5)*5. Let i be -7*((-4)\/(-4) + -2) - 2. Suppose -44 = -i*x + 31. Solve -d*o + x = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/480*-24)\/(1*7\/(14\/(-6)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1662, -1195, 8, 2313, 6086?\nAnswer: 11693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.692 take away -798700610?\nAnswer: 798700699.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19386 and 1494.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -5, -2609, 4, -1 in decreasing order.\nAnswer: 4, -1, -5, -18, -2609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - f = -64025, -2*f + 80035 = -186*c + 191*c. List the prime factors of c.\nAnswer: 3, 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 0.2183\nAnswer: 14.7817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.05, -1\/5, 0.628, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1477*t**4 - 172*t**3 - 2034426 with respect to t.\nAnswer: 5908*t**3 - 516*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13078 or 13075?\nAnswer: 13075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 10:12 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2767095 is divided by 2767065.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(-1\/6))**17 assuming b is positive.\nAnswer: b**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 8. Let l be p(8). Let k(g) = g**2 - 4*g**2 + 5 - 7*g + 4*g**2 + l*g**2. Determine k(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 14) in base 6?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1072*m - 626*m - 1764 - 18719 = -5201 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/8 and ((-1)\/2)\/(64\/(-664))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 3:03 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1073*b**3 - 13448*b**2 - 291911895 wrt b?\nAnswer: 3219*b**2 - 26896*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 106641 and -6.\nAnswer: 106635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/8 - (-11 - (-105)\/10). Which is greater: x or 0.022?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 285 - 280. Put 2, 0, -2, d in descending order.\nAnswer: d, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 - 36*r**3 - 118*r**2 - 84*r.\nAnswer: -2*r*(r + 1)*(r + 3)*(r + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*m + 31, -5*m = 3*l - 7 - 20. Suppose -m*y - 52 = -196. Suppose -2*p = 3*p - 90. What is the lowest common multiple of y and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 52 = 17*r. Sort -3, 3, -15, r in decreasing order.\nAnswer: r, 3, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208287 is divided by 26035.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -4. Let x(n) = -n**3 - 18*n**2 - 4*n + 38. Let v be x(l). What is the greatest common divisor of v and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 59360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 9, h: 7}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 57*h - 129. Let d be i(-5). Let o be (-6)\/(-1)*(-124)\/(-6). Let y = o - d. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 1 + 3 + 6*i - 2 as r*i + n and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3851588 divided by 13\nAnswer: -296276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/50)\/((-3)\/((-15)\/(-1)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -142145 divided by 458?\nAnswer: -142145\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/3)\/((-32)\/(-48)). Let u be (-2)\/8 + 123\/12. Let p be (4\/(-50))\/((-8)\/u). Is g < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/31 (b) 503 (c) 3 (d) -2 (e) -6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*s - 10, 3*n - 4*s - 35 = -9*s. Suppose n*a + 14 = -16. Which is smaller: a or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18318, -18306, -18274, -18216, -18126, -17998, -17826, -17604?\nAnswer: -17326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (7 - (7 + -10 + 19)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/5 + (-7)\/(-5). Suppose -b*l - 3*j = 15, 0 = -5*j - 18 - 7. Suppose l = 3*k + k - 20, -5*k - 584 = -3*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934199 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48228.\nAnswer: 2, 3, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10083 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72005 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582094 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 - -1.98. Let a = 0.1 + -0.2. Let n = 0.1 - a. What is the nearest to -1 in r, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -1 in descending order.\nAnswer: 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, 4042, -0.4?\nAnswer: 4042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 4 - 1*-9. Let n be -1 - 7\/((-21)\/(-18)). What are the prime factors of 2\/n + 149\/a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*a + 39*l = 80*a + 57, -3*a + 2*l = 70 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -430 divided by 43\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-9) + 2\/6. Suppose -3*p = 2*p + b*t - 54, -p + 27 = -5*t. Let k = p - 10. Solve -q + k*u = -9, 4*q - 2*q - 5*u - 23 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101 - -141. Let l be (-12)\/z - 1\/5*-1. Which is the closest to 0.4? (a) 0.03 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -44, -77, -130, -209, -320?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 4236396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faa when three letters picked without replacement from ffaoaoffoaaoooofa.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 7*p**2 - 2*p - 7. Let w be (6\/8)\/((-15)\/(-260)). Suppose -68 = w*k + 23. What is u(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 + 3*x**3 + 4*x**2 - x**4 - 4*x**3 - 2*x**2 - 151*x to the form d*x**4 + s*x + a*x**2 + m*x**3 + g and give s.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -161\/4 - -41. Let y = -5.4 - -5. Let g = y - -0.3. Which is greater: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.84 + -0.81. Let o = -0.03 + u. Which is the nearest to -0.1? (a) -3 (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - -4 - 3 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.52247 rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5722 and -329?\nAnswer: -1882538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269453 is divided by 22454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*n - 459 = 122*n. Calculate the remainder when 20 is divided by (-4)\/(-10) + (9 - n\/(-45)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**4\/24 - 9*z**3\/4 + 7*z**2 - 175*z. Factor j(c).\nAnswer: -(c - 1)*(c + 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88 (base 14) to base 4.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (244\/(-1220))\/((-1)\/(-3))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m - 4. Let g(n) = -11*n - 7. Suppose 3*l = 6 + 6. Determine l*g(s) - 7*d(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 3042*p + 55 = 3037*p, 4*l + p = -55 + 23 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 - 3*m**4 + 6*m**4 + 0*m**4 + 2*m**4 - m**4 + (2*m**2 + 0*m**2 - 9*m**2)*(14*m**2 + 11*m**2 - 5*m**2).\nAnswer: -138*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-3))\/((-2*(-6)\/(-3))\/4).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 88 = 12*d. Solve -3*j + 14 = 5*u, j - 5*u + 0 = -d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/5 + 63*g**3\/5 + 354*g**2\/5 + 692*g\/5 + 456\/5.\nAnswer: (g + 2)**3*(g + 57)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228428 is divided by 322.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m - 39. What is s(-11)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1243324131 (base 5) to base 2.\nAnswer: 1011110110000010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-598)\/(-91) - 20*2\/10.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 + 9\/(-42). Suppose 0 = -2*w - 9*w - 418. Let g be (-3)\/24*w + -5. Which is the closest to g? (a) 4 (b) 3\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*b + 34 + 35 - 68)*(-17*b**3 - 9*b**3 + 2*b**3) to the form h*b**4 + f*b + z*b**2 + i*b**3 + r and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -115 - -8991?\nAnswer: 8877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261168 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -2, 6, 5 in decreasing order.\nAnswer: 33, 6, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*a - 204, -180 = -4*g - 3*a - 0*a. Let p = -66 - -138. What is the highest common divisor of g and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 i when three letters picked without replacement from iuiaiuauuuuiuuui?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, 10, 6, 1, -54, -2 in descending order.\nAnswer: 70, 10, 6, 1, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 10:57 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**4\/3 - 80*j**3\/3 - 800*j**2 - 35*j. Factor r(i).\nAnswer: -4*(i + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.8. Let w = -0.1 - 1.9. Let f = l - w. Sort 0.2, f, 3.\nAnswer: 0.2, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15765*n**6 - n**4 + 56*n**2 + 7*n - 603?\nAnswer: -1891800*n**3 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**3 + 306*v**2 - 17250*v + 16942 = 0.\nAnswer: -197, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2 + 2)*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7754\/3 - -2585. Let s(a) be the first derivative of 0*a + p*a**3 + 10 + 5\/2*a**2. Factor s(v).\nAnswer: v*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 5 + (-4 - 4) + 5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Sort 5, -5, i in decreasing order.\nAnswer: 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Solve 3*q = -l*q - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 4*h**2 - 3*h + 8. Give b(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(4*8\/(-80))\/(48\/270).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/26 + (-144)\/36.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13920372 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**6\/3 - 117*j**3 + 619*j**2\/2 + 2*j + 2172. Find the second derivative of n(y) wrt y.\nAnswer: 40*y**3 - 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 41*s**3 - 11355*s**2 - 549*s - 1399. What is h(277)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101110010001001000 (base 2) in base 12?\nAnswer: -2a50b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqwow. Give prob of sequence wqw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14663*g**3 + 675*g**2 + 3*g?\nAnswer: 87978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1363651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304, -607, -908, -1207, -1504, -1799?\nAnswer: -2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v - 3. Let t be b(4). Let z be (-6)\/t + 38\/5. Solve 8 = -4*y - m, 5*y - y = m - z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16a5a47 (base 11) in base 7?\nAnswer: 33404023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5370000 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*j - 4. Let k be ((-16)\/12)\/j*0. Let o(m) = m**2 - 4*m - 1. Let a be o(5). Solve g - 3 = a*s, -5*g + k*s + 5*s = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-8) - (-69)\/(-2). Let d = b + 42. Suppose 0 = d*t - 3*t - 240. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8782 = 2*m - 5*l, -3*m - 4373 = -2*m + 2*l. Let u = m + 39467\/9. Calculate the common denominator of u and -101\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*y + 1567 = 8*y, w + 4*y - 791 = 0. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -70, 1.333, -2, -4, -3.\nAnswer: -70, -4, -3, -2, 1, 1.333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1\/29 (b) -0.2 (c) -2\/13 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1132?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7\/9)\/t)\/(t\/t**29)*(t**(-26)\/t)**(-1\/6) assuming t is positive.\nAnswer: t**(553\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 1\/3 (c) -0.0858335 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1954\/264 + ((-93)\/33 - -3) and -67\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53702 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 64 = -4*i, 3*z - 35 = -5*i - z. Let c(l) = -l + 24. What is the least common multiple of c(i) and 11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 + 31*f - 9. Let v(k) = 3*k**2 + 21*k - 6. Let w(o) = -5*j(o) + 7*v(o). Let g be w(14). Let x = 35 + g. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.004 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*t - 36 = 2*m, 0 = -m - 2*t - 11. Let i = 10 + m. Suppose -3*j - 3*d = -d - 20, -4*j + 26 = i*d. Solve -1 - 1 = s - 5*g, -4*g - j = 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 3:18 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.8 - 0.8. Let p = -0.0621 - -0.2621. Which is the biggest value? (a) 0.5 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.029 + -0.029. Let g be (3\/(-36))\/(3\/8). Let s = -0.01 - 0.29. What is the closest to 4 in s, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3777 - 3753. What is the greatest common divisor of 2748 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 5 = 40 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 3:34 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 574 and 1057554?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7291531mm in meters?\nAnswer: 0.0007291531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (122\/(-6) - 446\/669)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*t + 246 = -736*t - 4*g, -2*g = -4*t - 84 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 4:01 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2712 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103827688?\nAnswer: 2, 83, 271, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 13*d**2 + 12*d + 4. Let y be m(12). Solve -y*w - 1 = 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12*(2 - 145)\/(-11). Calculate the greatest common divisor of 180 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 56609532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -a49dc?\nAnswer: -a49dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uutt when four letters picked without replacement from uutuuuztuuuuuu.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(8\/5)*v*v)\/v)**(-1\/21) assuming v is positive.\nAnswer: v**(-13\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2*g - 3, 3 = -4*g - 3*f - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 i when three letters picked without replacement from ffffffffffiffiffifif?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpgg when four letters picked without replacement from pggg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 - 115. Suppose -269 = -4*l - 3*a, 3*l - 2*l = -5*a + b. Suppose -l = 15*i - 16*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-2)\/(-30)*1105\/(-4420).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s - s + 2*s)*(-58116 - 16163 - 39023 - 60851 + 10839) to u*s + b and give u.\nAnswer: 326628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 15*x**2 - 28*x + 30. Let n be l(13). Sort 0, 84, 1, n in increasing order.\nAnswer: 0, 1, n, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*u)*(-2 - u**2 + 2) + 5*u**3 + 0*u**2 + 0*u**2 - 14*u**3 - 2*u**3 - 15*u**3.\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + (-2514)\/(-9). Let j = m + -160. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 6*x + 3*x + 11, 4*r - 2*x = 62. Let i(y) = y**3 + 7*y**2 + 7*y + 5. Let g be i(-6). What is the second smallest value in g, r, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114107668187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 0. Let b = -3 + 3. Let q = r - b. Solve -2*m = 2*m - q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -1, -5, -1.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwwwqw. Give prob of sequence qwq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f9 + -3?\nAnswer: -fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6977? (a) -1\/2 (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1405593 and 1998.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.308 and -5.7.\nAnswer: -1.7556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**3 - 3*d. Let g(x) = 6*x**3 + 2*x. Let u(b) = b**3 + b. Let c(f) = -g(f) + 4*u(f). Suppose -4*t + 7*t = -15. Determine t*y(w) - 8*c(w).\nAnswer: w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4909.9783 - -4910. Round i to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 953593*f*o**3 + 764*f*o - 731*o wrt o.\nAnswer: 5721558*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 483, 1000, 1745, 2730, 3967?\nAnswer: 5468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00159267256 rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (-105)\/(-21))*(1 + 0). Solve -c + 5 = -3*c + 3*k, -2*k = -m*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/447 smaller than -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 190\/121 or 2?\nAnswer: 190\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) 2 (b) -1\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2382014?\nAnswer: 2, 439, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, r: 1}. What is prob of sequence yn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**4\/12 - k**3 + k**2\/2 - 14*k. Let f be q(-5). What is the greatest common divisor of 54 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -267\/7 - -38. Let o = -0.0823526 + 0.0823526. What is the nearest to o in f, -2\/11, 10, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -956586 or 1?\nAnswer: -956586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 2. Let k be t(-2). Suppose i - 5*d = -23, 0*i - 17 = k*i - 5*d. Suppose 2*s - 36 = -i*s. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -15*b**2 + 112*b - 34. Give x(10).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/445388 and 5\/148?\nAnswer: 16479356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 13*v + 17*v = 2, -4*v - 23 = -3*g. Suppose 45 = -6*l + 9*l + x, -75 = -g*l - 2*x. What is the remainder when 58 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20614 is divided by 4480.\nAnswer: 2694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d + d)*(2 + 1 + 0 + (1 - 2 + 3)*(2 - 4 + 3) + 3 - 1 + 0).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - -0.11. Let r = f - -0.04. What is the smallest value in -1, r, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18327 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 2:27 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 155 = -87. Suppose 0 = -5*g - t*g + 5676. Is 72 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 28 - (5 + 2) - -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 74*c**3 - 2*c**2 - 53*c + 178. What are the prime factors of o(5)?\nAnswer: 13, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 10*q**2 - 13*q - 17. Does 14 divide i(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14533.\nAnswer: 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 168.2649 decades?\nAnswer: 1682.649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.1 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 8 = 3*g, -1274*g + 1272*g - r = -5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 12 + 7 - 8*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(sqrt(28) + -3*sqrt(28)))\/(sqrt(24)\/sqrt(6)*4).\nAnswer: -3*sqrt(7)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a centimeter in millimeters?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(12\/5)*y**(-19) assuming y is positive.\nAnswer: y**(-83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -943 - -2359. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -17*h - 11*h + 47*h - 9*h - 9*h. Let u(k) = 4*k**2 + 18. Calculate u(v(z)).\nAnswer: 4*z**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + ((0 - (12 + -3) - -21) + -11 - -75)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -13. Is 3 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 * -49.\nAnswer: -132.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 643 (base 8) to base 12\nAnswer: 2ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*y - 3*y. Let a = -5 + y. Let q = -6 - -10. Solve -5*v - 2*n = -24, n - q = v - a*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 102.1558ml?\nAnswer: 0.1021558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 11:06 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 10. Let o(w) = -192*w - 158. Give -16*c(q) + o(q).\nAnswer: -208*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 18 + 30 = 0. Let q(w) = w + 7. Let z be q(m). Let n = -0.1 + 0.6. Which is the biggest value? (a) -0.3 (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162057281 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16 and -165048697107.\nAnswer: -165048697091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, 4, 1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 51 - (158 + -173)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 13506 + 3714 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-109.11834.\nAnswer: -109.11834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 - 27*c + 4. Let d(m) = 7*m + 9. Let a be d(0). What is the remainder when q(a) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -174145, -174126, -174057, -173932, -173745, -173490, -173161, -172752?\n\"Answer: s**3 + 19*s**2 - 45*s - 174120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152 - -151. Let h = -1 - -1. Let y = o - h. Which is the second biggest value? (a) -1\/4 (b) y (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3575896 and 3483752?\nAnswer: 3544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 767*l - 359*l - 363*l - 54*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -217 - -220. Let u be 40\/(-10)*1\/(-2). Solve m + u = t*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.5 (b) -1 (c) -3\/4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/230 and 139\/30?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 31) + 2 - -44?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 3, g: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -1.6, 17\/40, 61?\nAnswer: 17\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/5))**(2\/47))**(-24)*((q**(-1\/5)*q)\/(q\/(q**(-6)\/q)))**46 assuming q is positive.\nAnswer: q**(-77784\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -0.3, -6.324 in descending order.\nAnswer: -0.3, -4\/9, -6.324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 598*c - 109. Is q(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -105?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnzzznznzzzzzz. What is prob of picking 2 n and 2 z?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174)\/812 - 374\/(-924).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -15. Suppose -b*o + 3*v - 23 = 0, 2*o - 4*v - 5 = -29. Let z = o - -12. Put z, -3, 0 in decreasing order.\nAnswer: z, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/36*-12)\/((-1)\/12). Solve -s*v + 17 = 3*h, -h + 5*v - 3 = 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -18*v**3 + 10*v**2 - 5*v + 4. Suppose 2*z + 26 = -2*h, 19 = -5*h + z - 16. Let c be x(h). What is c rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d + 3. Suppose 6 = 4*p + 2. Suppose n + 10 = -4*r, 0*r = 3*r + 4*n + p. Let t be y(r). Solve 4*a - 5 - t = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50406072 bigger than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -162 divided by 2342\nAnswer: -81\/1171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 40 - (31 - 15)) + 6\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 0)*(1 + 3 - 6) + 4 + 1 - 4 + (4 - 3 + 1)*(-5 - 2 + 3))*(-10*u - 6*u + 6*u + (-2*u + 0*u + 0*u)*(-3 + 2 + 0)).\nAnswer: 40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*(h*h**0)\/h)*h)\/(h\/(h**(-2)*h)))\/(h**(-1)\/h**(1\/2))*(h**(-4)*h*(h\/(h\/(h\/(h\/h**(2\/3))))*h)\/h)**(2\/7) assuming h is positive.\nAnswer: h**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 8, s: 2, j: 1}. Give prob of sequence sj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -92, -158, -250, -374, -536?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 783 and 319.\nAnswer: 8613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**4\/7 - 5979*h**3\/7 - 3023481*h**2\/7 - 44229069*h\/7 - 105637068\/7 = 0?\nAnswer: -989, -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6330389?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -1155?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*-17.174915\nAnswer: 18.8924065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*k - 2*q, -12*q - 11*q - 3*q + 12 = -30*q + 16*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*y + y = 38, -31 = -2*t + 5*y. Suppose t*b = 681 - 18. Calculate the remainder when b is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 421535?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4907929199?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -40638 divided by 6\nAnswer: -6773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -31. Suppose -57 = -u*w + 15. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 873641785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 4*r = 10*r + 18*r + 284, 0 = -4*m + 4*r + 60 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2612727 is divided by 435430.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-150)\/(-25) + 6660\/(-26). Let j = -250 - f. Let 8\/13*r**2 + j*r**3 - 2\/13*r - 8\/13 = 0. Calculate r.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1234 and 0.3.\nAnswer: -1233.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83134 is divided by 41291?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17529 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(-1) + ((-376)\/47 - 0). Solve 4*s - x + 9 = 1, 2*x + 6 = -f*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -460*n**2 + 6*n - 18. Let i(k) = -2758*k**2 + 35*k - 105. Calculate -6*i(f) + 35*p(f).\nAnswer: 448*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3\/2*f + 3\/2*f**2 = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i - 5*i + 5 - i**3 - 4*i**2 - 5*i**3. Is w(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y + 27. Let l be k(5). Suppose -l*z + 638 = -15*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -63, -68, -73, -78?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 1:37 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/176 and 59\/51584.\nAnswer: 567424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-43)\/20)\/((-4)\/10) and 91\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.244 plus -11825773?\nAnswer: -11825773.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5448 - 5032. What is the highest common factor of 6552 and q?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1008)\/(-45))\/(-14) + (-6)\/(-10). Let a be m\/2*(-20 - -3)*2. Let j be (3*2)\/(3\/8). Are a and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p - 16 = 0. Let o be (2\/p)\/((-3)\/(-18)). Solve -o*g = -g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*q**2 - 751*q + 751*q)*(-5*q**2 + 15*q**2 + 6*q**2)*(2 + 1 - 1).\nAnswer: -1280*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - -3.82. Let k = 4.02 - 0.02. Let j = y - k. Sort -0.3, 1, j in decreasing order.\nAnswer: 1, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13355.965 + -13356. What is the second biggest value in y, 6, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*a + 55062 = -218*a + 947*a + 191*a for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3, -46, -2, 23576?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2 + 1948134*x + 948806520489 = 0. What is x?\nAnswer: -974067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 2*s - 3*q + 1, -2*q = -2*s - 6. Which is the nearest to s? (a) -0.24 (b) 2\/5 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-94)\/(-141))\/(2\/32)\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2546 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + 14?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 73864051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2))**(-35)*(c*c**23)\/c*(c*c**(6\/7)*c)\/c)**(-1\/5) assuming c is positive.\nAnswer: c**(-103\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 + 4*k**3 + 0*k**3 - 5*k**3 - 3*k**3.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 4*h - h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 - -135.91. Let x = -0.28 - f. Let q = x + -0.41. Put -0.5, q, -4, 0.5 in ascending order.\nAnswer: -4, -0.5, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 10:11 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1 (c) 5\/6 (d) -7\/36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3490 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73535325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a factor of 32337000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160796559?\nAnswer: 3, 7, 11, 211, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 divided by 4.\nAnswer: 159\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226 (base 14) to base 5.\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(1872) - ((2 + sqrt(1872) - sqrt(1872)) + 0) - (sqrt(1872) - ((sqrt(1872) + 1 - sqrt(1872))*2 + sqrt(1872))))*5*3)**2.\nAnswer: 421197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p - 96. What is the smallest common multiple of u(-20) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 14, 5, 0.08, -2, -1 in descending order.\nAnswer: 14, 5, 0.08, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11120 (base 5) in base 8?\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -60, -143, -210, -261?\n\"Answer: 8*b**2 - 107*b + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 4*i - 3, -5*q = 2*i + 12 + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {a: 4, i: 2, e: 5, c: 2, z: 1, n: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m. Let b(w) = -5107850*w. Determine b(n(i)).\nAnswer: -30647100*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 174*a**2\/5 - 1391*a\/5 - 8\/5 = 0?\nAnswer: -1\/174, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 + 779*a**2\/2 + 133955*a\/4 + 215250.\nAnswer: -(a - 1640)*(a + 7)*(a + 75)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -2703 and -2703 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*q - 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 49, 35, 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1761062 is divided by 610?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u**3 + u**2 + 5. Let f(h) be the third derivative of -23*h**6\/120 - h**5\/20 - 7*h**3\/3 + 940*h**2. Determine -6*f(k) - 17*m(k).\nAnswer: 2*k**3 + k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 3*h + 6. Let c be l(5). Let j be (-6)\/4*32\/48. Let r = c + j. Let u(y) = y**2 + 5*y + 2. Calculate u(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l - 8. What is the remainder when o(14) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -25*m**9\/504 + 3*m**5\/10 + 12*m**2. Find the third derivative of b(x) wrt x.\nAnswer: -3000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979470 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -153036 (base 9) in base 2?\nAnswer: -10110111101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*y = 20, -5*a - 44 = -2*a - 5*y. Let f = 13 - 8. Let v = a + f. Which is smaller: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 20 - 8)*(-2*t + 3*t - 3*t) - 5*t + t + t - 1 - 5*t + 1 + 1 - 1 - t.\nAnswer: -39*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k + 5. Let p(v) = 8*v - 6. Let m(u) = 6*h(u) + 5*p(u). Let a(l) = -261*l + 16*l - 619 + 619. Determine a(m(b)).\nAnswer: 490*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 99*z**2 + 71*z - 1. Is h(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1909 - 1520*w**2 + 1312 + 23*w**2 with respect to w.\nAnswer: -2994*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227949.41 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-7))\/(9329\/301 + -3217 + 3186)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*l + 103 - 6308, -7*i = -2*i. What is the remainder when l is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1178 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let d(t) = -473*t**2. Calculate d(f(w)).\nAnswer: -1892*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 11119525?\nAnswer: 77836675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 6. Let s(b) = 194*b - 4266. Let j be s(22). Suppose -4*h - h = 0. Sort z, j, h in decreasing order.\nAnswer: z, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4393262 rounded to three decimal places?\nAnswer: -4.439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.095996 - 309933.\nAnswer: -309932.904004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00330433 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 26*v**2 - 19*v - 27. Is m(40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.22 - 32.32. Which is the closest to 0.0176? (a) o (b) 4\/3 (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = 0, 4*w - 9*z + 5*z - 172 = 0. Let b(x) = -x**3 - 3*x**2 + 13*x - 6. Let y be b(-8). Calculate the greatest common divisor of y and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4. Let a(f) be the second derivative of o - 5\/48*f**3 + 3\/16*f**2 + 1\/96*f**4 + 1\/160*f**5 + 6*f. Solve a(s) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*q + 5*z, -3*q - z + 27 = q. Let l = -2 - -6. Suppose 0 = -d + l - 0. Calculate the remainder when q is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**5 - 9*u**2 + 1893*u wrt u.\nAnswer: 60*u**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15669 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(17)*-2 + 0 + sqrt(17) + -2)*5.\nAnswer: -5*sqrt(17) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 888*u**2 + 3588*u - 3600.\nAnswer: -3*(u - 2)**2*(u + 300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 24\/10001, 13, 1 in ascending order.\nAnswer: 24\/10001, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-2\/5)*v*v))\/(v*v*v*v**(1\/13))*(v\/v**(-2\/3))\/((v\/(v**6\/v))\/v) assuming v is positive.\nAnswer: v**(583\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-12) - (-6)\/((-72)\/(-15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -18. Let u be (k\/16)\/(9\/(-24)). What is the derivative of -31 + 9 - 120*s**u + 89*s**2 wrt s?\nAnswer: -62*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(3 + sqrt(1700)))**2 - sqrt(1700)) + -2 + ((sqrt(1700) + 2 - sqrt(1700))*-1 + 3*(1*sqrt(1700) + sqrt(1700)))**2 + -1)*3.\nAnswer: 2130*sqrt(17) + 265635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7345*o**2 + 122*o + 121. What is the units digit of k(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 19, 38, 77, 142?\n\"Answer: n**3 + n**2 - 5*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*t - 3, 0 = a - 8*t + 6*t - 3. What is the highest common divisor of 65 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3000) - sqrt(3000)*-3 - -2*sqrt(90)\/sqrt(3))\/((sqrt(66) - 6*sqrt(66)*1)\/(sqrt(44)\/sqrt(4)*2)).\nAnswer: -84*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -17*t**2 - 124*t + 59. Give c(-10).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1524582 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c + 160. Let s be z(-17). Find the second derivative of 17 - 6 - 3 - 4*g**5 + s*g + 24*g**5 wrt g.\nAnswer: 400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -10*x**3. Suppose 2*l - 4 = 2*y + 2, l - 2 = 0. What is the tens digit of m(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywe when three letters picked without replacement from {c: 2, y: 2, w: 1, e: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403, -1415, -3039, -5275, -8123?\nAnswer: -11583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2253122321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5967, 11919, 17869, 23817, 29763?\n\"Answer: -g**2 + 5955*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 12*q**2 + 61*q. Determine m(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*1 - (-1443 + -18). Let l = g + -930. What are the prime factors of l?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*i = 0, -i + 0*i = u - 2. Calculate the remainder when -3 - (1*-34)\/2 is divided by (42\/(-35))\/(u\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 5. Let a be o(9). Suppose 4*n - 6*n = -6. Let u = a + n. Is 1 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*d - 8*d**2 + 28*d - 52 - 78*d + 27*d in the form u*d**2 + a + r*d and give a.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 8:25 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**4 - o**3 + o**2 + 34880*o + 7463415.\nAnswer: -4*o**3 - 3*o**2 + 2*o + 34880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1717 - -11?\nAnswer: -1706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + q**2 + (-3*q**2 + 3*q**2 + q**2)*(-1 + 0 + 5))*((-13 + 10*q + 13)*(6 + 5 - 4) + 2 - 2 + 2*q) in the form b*q**3 + d + h*q + y*q**2 and give b.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00542365394 rounded to four dps?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31787*p**3 - 31 + 31 + p.\nAnswer: -31787*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-3 + -1 - (-7)\/2). Let g be y\/3*(15 - (9 - 0)). Solve 6*p + g = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -747817, -747804, -747791, -747778?\nAnswer: -747765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2*v**2 - 1465*a**2*v - 39*a**2 + 24832*a*v**2 - a - 3 wrt a.\nAnswer: 6*v**2 - 2930*v - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 1662*m. Let b(w) = -2*w**2. Calculate b(t(d)).\nAnswer: -5524488*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a factor of 860287888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 = 2*j + 2*j, 0 = -3*j + 5*n - 4. Let o = -8 - -9. What is the least common multiple of o and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/6)\/(-4)*(-6)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*d + d = -459*d - 3909 - 1861 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 36*i**2 + 66*i + 70. Let k be g(34). Suppose -w + 4*t + k = -90, -2*w = 2*t - 224. Calculate the least common multiple of w and 36\/15 - 2\/5.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-84))\/(7\/28).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -3. Suppose -4*l - 3 = 3*p - 0, 5*l + 10 = -5*p. Suppose -l*v = 3*o + 18, 0 = -4*v + v - 15. Which is the smallest value? (a) 0.1 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24223806 divided by 519.\nAnswer: 46674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00433652568 rounded to 5 decimal places?\nAnswer: 0.00434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353 - 706 - 1281 = -260*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*x - 215 + 74. Solve 3488 = x*m + 3485 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -493. Calculate the remainder when y is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5379, -7097, -9961, -13971, -19127?\nAnswer: -25429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -632909230, -632909232, -632909234?\nAnswer: -632909236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1472 - 1471.999999626. Round d to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145684 and 819236.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88.0018 + -88. Round t to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 4*(-14)\/4. Let u be (0 - o\/9)*3. Which is greater: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117 - -77. Calculate the remainder when (-2456)\/z + (-6)\/15 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - s + 1. Let n(t) = 5*t - 3*t + 2 + 3*t**3 - 4*t. Calculate 2*n(a) - 5*w(a).\nAnswer: a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 12 = -n - 3*q, 15 = 2*q + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115.431 - -186.522. Let f = x - 71. Round f to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 3*h = -200. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 142.56 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 12*v + 15. Let g be o(-10). Let a = g + 109. Suppose -5*d + 71 = -a. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -48. Solve -3*p + d - 2 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2035 and -0.2.\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10 - (-1 + 4*(-2)\/2). Suppose -5*m + 4*m = 2. Let t(q) = -7*q. Let w(y) = 3*y. Calculate m*t(u) + z*w(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 108954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 1. Suppose 0*u - 80 = -40*u. Factor 1 - 2*h + 1 - t + 3 + u*h**3 - 6*h**2 + 2*h**4.\nAnswer: 2*(h - 1)**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 5*n - 23 = 0, -5*n = 5*q - 10*n + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + g**2 + g + 1. Let p(f) = -7*f**3 + 12*f**2 + 5*f + 2. Let x(k) = -6*o(k) + p(k). What is x(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-3) - 45\/(-27)) + 3. Solve 0 = -m*v + 8*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -233 (b) 10 (c) -896\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116.7 + -78.8. Let k = x + -38. Sort -3, k, 4 in ascending order.\nAnswer: -3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -5 (c) 2 (d) 0.09 (e) 309 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0*-16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11905 is divided by 5948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17.28 times 0.2\nAnswer: -3.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-1)\/3) + -1. Let k(n) = -h*n - 1 + 0 - 4 + 0. Let m(i) = -5*i - 14. Suppose 2*d - 3 = -11. Determine d*m(b) + 11*k(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28242)\/(-273006)*58\/26?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 2. Let s be z(-3). Let f be s + -2*(-5)\/2. Let n = -3 + 5. Solve f*v = -2 - n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/28*(-399)\/114.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i - 6*i)*(-2 + 4 - 7).\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 9 = 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*o, -2*g - 21*o + 26*o = -29 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by 70\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110338\/189 + 584. Find the common denominator of -19\/42 and n.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 18*f + 14. Calculate x(13).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 9\/(18\/(-28)). Let w(z) = -z**3 + 5*z**2 - 2*z. Let a be w(4). Let g = a - x. Sort 3, 2, g in increasing order.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, s: 4, y: 1, e: 2}. What is prob of picking 1 e and 2 b?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36405 is divided by 18200?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121.0066 litres to millilitres.\nAnswer: 121006.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.77 and 0.8.\nAnswer: 0.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -30230000 rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460950 a multiple of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 + 18*m + 15. Give q(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 58*q - 39. Suppose b = -2*k + 5 + 3, k - 5*b + 18 = 0. Is m(k) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 8060256621.\nAnswer: -8060256626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1722013 is divided by 1721316.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/8, 0.4, -1\/7, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*d - 4*d + d**2 - 236*d + 106*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 2636.\nAnswer: 34268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 2*w**2 + 3*w)*(-2 - 2 + 6) + (-3 + 2 + 0)*(-14*w + 8*w - 12*w)*(w - 4*w + 4*w)*(-2 + 5 + 0) to s*w**2 + k + t*w and give s.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*r**2 + 782*r - 113*r**2 + 40*r**2 + 38*r**2.\nAnswer: -2*r*(r - 391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10206567\/2 and 5103285 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11724\/11 + -1066. What is the third smallest value in 0.4, b, 511?\nAnswer: 511","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32844*x - 32846*x + 16 = -2*c, 0 = 2*x + c + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10665\/(-324) + 33 - -1*14\/24.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2100, 9142, 20880, 37314, 58444, 84270?\nAnswer: 114792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 14*b + 672. Let s be t(-48). Let o = -4 - -9. Let v be o*(0 + (-2)\/(-5)). Solve s*x - 5*z + 11 = 2*x, v*z = -3*x + 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*s + 28, -j - 4*j - 30 = 5*s. Suppose -2*d + 17 - 11 = 0. Put s, d, 0 in decreasing order.\nAnswer: d, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -46581*o - 5496546. Calculate k(-118).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -168, -197, -244, -315, -416, -553?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = -3*i + 544. Let c be (-14)\/i - (-136)\/9. Calculate the greatest common divisor of 135 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240541151.\nAnswer: 240541151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42240003 (base 5) to base 7.\nAnswer: -2665464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1104576 or -5522884\/5?\nAnswer: -1104576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334238?\nAnswer: 2, 167119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 6*o + 4. Suppose -2*l + 18 = 4*u, 2*u - 5*l + 27 = 6. Suppose u*s - 15 = -s. Let t be v(s). Calculate the highest common divisor of t and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -104, -169, -290, -485?\nAnswer: -772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/7)*k*((k*k**(1\/6))\/k)\/k*k)\/(k*k**2)**(-4)*(k**(2\/9))**(8\/9)*(k**(-2)*k)**(-6\/23) assuming k is positive.\nAnswer: k**(340465\/26082)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/5 of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + -0.04. Let s = -17.7 + 18. What is the closest to s in 1, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2187751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 2*l**2 - l + 1520. Let a be z(0). Suppose -m = -9*m + a. Suppose m = 40*q - 35*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9137*1 - -40*4\/(-32). Let q = 20721 + w. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7109.92 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5046 - 3062. What are the prime factors of b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9242 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722 = -301*q + 3908 + 1329 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*d**2 + 2*d**3 + 86*d**2 - 42*d**2 = 0 for d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/10)\/((-22)\/55). Solve -r = -a*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 8*y - 3. Let b = 10 - 1. Let l be g(b). Let r(h) = 4 + 3 - h + l - 3. Calculate r(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 21*o - 46. Suppose 4*c = 5*t - 1, 44 = -5*c + 24. Determine m(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**4\/16 - 45*x**3\/4 + 6075*x**2\/8 + 339*x. Suppose h(c) = 0. Calculate c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydyd when four letters picked without replacement from ddezezyyzeededzdz.\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 5:50 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + (-2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 32 + 53. Let f = m - 17. Suppose 3*i - 74 - 328 = f. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 491465547 divided by 163821849\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-4 + 9 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/29, -47 in ascending order.\nAnswer: -47, -0.4, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2627, 2628, 2629, 2630?\nAnswer: 2631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 11 + 29 = 0. Suppose r*w + 3*n + 0*n = 9275, -w = -n - 4650. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 8) to base 7.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3584))\/(sqrt(80)\/(sqrt(10)*1)).\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000689132791 rounded to 5 dps?\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 4:34 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3020786514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50.3 - 50.2581. What is the third smallest value in -3, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + u - 6, -3*v - 2*u - 139 = -146. Which is the nearest to 1\/4? (a) 5 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -38*d + 3967. Let p(z) = 12*z - 1319. What is 2*k(o) + 7*p(o)?\nAnswer: 8*o - 1299","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 37 + 42 = -5 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -168723*p - 1687158. Give y(-10).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**3\/3 + 16*j + 3. List the prime factors of r(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 3:50 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16714 a factor of 759868582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -7.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 = -19*d + 395 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-21)\/(-4)))\/(-3)*(-3493)\/(-499).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 5:54 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -2, 1, 0.1, -505?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**(1\/13)))\/(g\/(g*g**(-2\/7)))*(g*g**(-3\/8)*g)**(1\/55) assuming g is positive.\nAnswer: g**(-53377\/40040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 - 10?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 - 3*o - o + 5*o + 7*o**2 to j*o**3 + w*o**2 + z*o + b and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1275 and 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.021 and -1418515.551.\nAnswer: -1418515.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210946500 and 2700?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 3136?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixteenths of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*o - 9*o**3 - 1 + 45*o + 0)*(o - 3*o + 0*o).\nAnswer: 18*o**4 + 4*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -23*v + 719. Calculate w(31).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(1\/7)\/((-279)\/(-1302))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43450, -173453, -390128, -693475, -1083494, -1560185, -2123548?\nAnswer: -2773583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -7*z**6\/10 + 2*z**3 + 50*z. What is the second derivative of i(o) wrt o?\nAnswer: -252*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 17, c: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6.473 + 1.053\nAnswer: -5.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 288 (base 11) to base 4\nAnswer: 11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*i = 0, -5*g - i + 3 = -25. Suppose -g*c + 1652 = -4*c. Suppose c = 3*n + n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332 (base 6) to base 9.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36097919*c**4 - 97969*c + 3?\nAnswer: 433175028*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**5\/150 - d**4\/20 - 5*d**2 + 14. Let b(k) be the second derivative of u(k). Factor b(o).\nAnswer: 2*o*(o - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.6 - 31.6. What is the nearest to l in -2\/11, 1\/6, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 + 5 = 0. Calculate the common denominator of 61\/(-6)*(-4)\/8 and -1 + ((-99)\/(-16))\/m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000065088954 to seven dps.\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3497632 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbrn when four letters picked without replacement from arnbfrc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1352 divided by -8.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -18756 (base 11) to base 13\nAnswer: -bc02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*v + 2, -5*v + 0*v + d = -9. Suppose 0 = v*k - 24 + 2. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 3)*(-4 - 2*z + 4) + z + 3*z + 0*z - 4*z - z + 2*z)*(-2 - 1 - 1)*(0*z - z**2 + 0*z)*(-2*z - 4 + 4).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 9*w + 2*z + 1, w + 2*z + 5*z = 65 - 73 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 260.7 + -264. What is the third smallest value in x, -3\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 1, d: 1}. What is prob of sequence dy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -12 + (2 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28823\/3 + -10086. Let v = -474 - d. Calculate the common denominator of v and 15\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006294125963 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 6*v**2 - 129*v + 902. What is p(7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2446 + 8935. What are the prime factors of l?\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1604*t - 1599*t + n - 4, -n + 3 = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 237486329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 438701108 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 35, -3, -1, 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237225 is divided by 162?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51\/76 - -633\/646. Let i = -20\/51 + m. Which is the closest to 3? (a) -1 (b) -3\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31347820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 6 = 4*h, -33*h + 32*h + 33 = -3*p. Solve 16 = -20*l + h*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3)*9*24\/(-36). Let k be (-3)\/4 - (11\/u + -1). Solve 0 = -4*i + k*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 278260641?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73019 is divided by 63?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000361 rounded to five dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 take away -0.631?\nAnswer: -220.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3))**(-13\/7)\/(z**(1\/3)\/(((z**(-2\/5)\/z)\/z)\/z)) assuming z is positive.\nAnswer: z**(-109\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 319 = -314. Suppose 5*m - 14 = p. Let g = m + -21. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 11:00 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*x + 35 = 183*x - 361 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 0.02 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 267.\nAnswer: -28\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from {p: 1, t: 1, m: 2, r: 2, c: 1, n: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 5*x**6\/144 - 23*x**5\/40 - 5*x**4\/12 - 3*x. Let f(a) be the third derivative of p(a). Is f(28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 + 54. Let l be 14 - 70 - 1\/z. Let u = 20 - l. Calculate the highest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + i + 20 = 0, 5*i - 7*i + 16 = -n. Let g(m) = m**3 + 17*m**2 + m - 10. What is the hundreds digit of g(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2))\/k**26*k*k**(-2\/19)*k*k**(-9) assuming k is positive.\nAnswer: k**(-572\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -2*w**3\/3 + w**2\/2 + w. Let r = 4 + -2. Determine x(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7548 or -902?\nAnswer: -902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4887*q - 4*q**2 - 3 - 2*q**2 - 4889*q + 2*q**2 + q**2. Let i = -4 + 6. Let b be 0\/(i - 0) + -2. Calculate v(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let f(u) = 5*u + 7. Let y(s) = -f(s) + 4*w(s). Let n(v) = 4*v + 4. Suppose -16494 + 16744 = 50*k. Determine k*n(j) + 2*y(j).\nAnswer: 2*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**2*u**3*y - 2*m**2*y + m*u**3*y - m*u**2*y + 538*m*u**2 + 95*m*u - 97349*u**4 - 4*u**2 + u*y wrt u?\nAnswer: 12*m**2*y + 6*m*y - 2336376*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 3*x - 11. Let s(j) = -1. Calculate 2*q(t) - 22*s(t).\nAnswer: 2*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/(t*t*t\/t**(-1\/4)*t*t*t*t*t)*t*t))\/t)\/(t**(2\/13)\/t)*(t*t**(-6))**(-36) assuming t is positive.\nAnswer: t**(9625\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 - 352*d**2 - 394*d + 18671. Give b(118).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**2\/4 + 109*j\/4 + 159\/2 = 0.\nAnswer: -106, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45776158?\nAnswer: 2, 22888079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (90\/(-35))\/((-3)\/14). Let g = 17 - o. Suppose 5*j = z + 762, -82 = -3*j - g*z + 392. Calculate the remainder when j is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1485, -11982, -40481, -95982, -187485, -323990, -514497, -768006?\n\"Answer: -1500*u**3 - u**2 + 6*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 20 = 4*d. Suppose -5*v + 265 = d*a - 0*v, 0 = 4*a - 4*v - 236. What is the highest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 2, q: 2}. Give prob of picking 1 z and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + q + 23 = 0, 22 = 2*d - 0*d + q. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 3*w - 0*w - 9, -9 = a - 3*w. Suppose -3*r + 2*f + 100 = a, 85 = 2*r - 4*f - f. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.986171 litres in millilitres?\nAnswer: 8986.171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025581996 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 124 - 389*s + 189*s + 183*s as k*s + v and give v.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(15)*-2 - sqrt(15)) + sqrt(15))\/(-3*sqrt(405)))**2.\nAnswer: 64\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -672\/11? (a) 2 (b) 1 (c) 3419\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/3 and 75\/608.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191357 = -9*n + 26353. Suppose 0 = 34*k - 9742 - n. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1040, -2071, -3092, -4097, -5080, -6035?\n\"Answer: u**3 - u**2 - 1035*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132547.374us to days.\nAnswer: 0.000001534113125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 8532815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**3 + 164*f**2 - 300*f - 468 = 0.\nAnswer: -1, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2365 and 344.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = 12. Let z = f - -9. What are the prime factors of (-6)\/(1 + z\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1677697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16466 - -263543\/16. What is the common denominator of x and 46\/(-72)*-3 - -1?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + z + 4. Let r be h(0). Suppose -r*c + 9*c = 475. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 5) in base 2?\nAnswer: 1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*g + 62034 - 77378 = 0 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11653315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f**5 + 0*f)*(1 + 0 + 2) + (5*f**4 + 2*f**4 - 5*f**4)*(170 - 10*f - 170) + 4 - 7*f**5 - 4.\nAnswer: -30*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/((sqrt(90)\/sqrt(9))\/sqrt(5)) + 5.\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 291028386*x**3 + 270913931*x.\nAnswer: 1746170316*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 6:03 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**2 - 16*y**2 - 23*y**2 - 2 + 18*y**2 + 43*y**3.\nAnswer: 43*y**3 - 30*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12*(-1)\/((-9)\/(-12)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 12. Let o = -4 - -4. Let y be l(o). Solve 0 = 2*t - 6*t - y, -5*v - 4*t = 32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Solve o = -c + 1 + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3.9, -624, 2 in descending order.\nAnswer: 2, -3.9, -5, -624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u - 2. Let j(d) = 22*d - 7. Let s = -13 + 11. Give s*j(z) + 7*m(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 8*d**2 - 9*d - 18. Give n(-8).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -202*j**5*n**3 + 2*j**4*n**3 - 2*j*n**3 + 2*j*n**2 + 534*n**3 wrt j.\nAnswer: -4040*j**3*n**3 + 24*j**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28534 + 2*m + 28534.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)\/((r\/((r\/((r*r**(-4))\/r))\/r)*r)\/r))**(1\/16)*(r*(r**0*r*r)\/r*r)**(-4\/17)*r*r**2*r*r**(-2\/11) assuming r is positive.\nAnswer: r**(19559\/5984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5366 is divided by 64?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k + 5. Let c(m) = -4*m + 3. Let o(z) = -5*c(z) + 3*y(z). Let u(d) be the second derivative of -31*d**4\/12 - 2906*d. Determine u(o(s)).\nAnswer: -31*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {d: 1, b: 4, l: 1, c: 2, i: 2, v: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**4\/3 - 1248*f**3 - 90823*f**2 - 3265570*f\/3 - 3596600 = 0.\nAnswer: -3670, -60, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4374*i**2 - 2459*i**2 + 6832*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/13 (b) 0.8 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 - 1\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-24073)\/588*8. Is -984 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(9\/18)\/((-20)\/(-5))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - p - 1. Let t be d(-3). Let h = -725 - -744. Let s be (h + -22)*((-7)\/(-6) - 1). Which is the biggest value? (a) t (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(-3*u**2 + 5*u**2 - u**2) + (-5*u - 3*u + 3*u)*(-4 + 4 - u) + 43*u**2 - 17*u**2 + 19*u**2.\nAnswer: 47*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*f - y, 3*y - 485 + 503 = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**6\/40 + 21*b**5\/40 - 49*b**4\/16 + b. What is c in g(c) = 0?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*d**2 - 55 + 55 + 7*d**6 + 0*d**2 wrt d.\nAnswer: 840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -798 - -334. Let i = 709 + a. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4393 + 5047. What is the remainder when p is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -2\/11, -3316, 1\/2 in decreasing order.\nAnswer: 1\/2, -2\/11, -4\/3, -3316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.1 - -12.3. Let k = 205 + -50. Is k smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1935)\/((-81)\/(-9))*10*(-32)\/1600\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) + 119\/(-51). Let t(g) = -3*g**2 - 52 - 57 + 159 - 6*g + 3*g - 53. Calculate t(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1718590724?\nAnswer: 2, 17, 25273393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/60 + 1\/3*-1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + (-137 - -50) + 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**3 - 2*v - 2. Let p be x(-1). Suppose 0 = 4*d - 4*k + 12, d - 2*k = -p*d. Solve 3*s - 14 = 4*z - 2*s, d*z = -s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -40*h. Let l(w) = -15*w**2. Calculate x(l(o)).\nAnswer: 600*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 237040635?\nAnswer: 1422243810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*m + 9 = 0, 79 = 4*z - 0*z - 3*m. What is the greatest common factor of 48 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41\/9 in -5, 0.27, 0, -8\/3, -1\/3?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3969 + 688 + 3481 = 626*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57008\/135 or 422?\nAnswer: 422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8772390*y**2 - 14182026?\nAnswer: 17544780*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(-14)*(28\/(-32))\/((-124)\/992)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c + 1. Let l(h) = -1. Let w(z) = -b(z) - l(z). Let n(p) = 18*p**2. Determine n(w(g)).\nAnswer: 162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3737*o**2 - 1221*o**2 - 1235*o**2 - 3*o**4 - 12951*o - 1250*o**2 - 31*o**3 wrt o?\nAnswer: -36*o**2 - 186*o + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*b = -4*a + 116*b + 21395, 0 = 5*a + 5*b - 26735. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 30.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47130657 is divided by 924130?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1627, -1583, -1539, -1495, -1451?\n\"Answer: 44*t - 1671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2*y + y)*(-y - y + 4*y).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 11*b + 15. Is h(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 7*r - 9. Let i be c(4). Suppose -7*p + i*p + 54168 = 0. Let o = p + 356458. What is o rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j - c + 178, 2*j - 88 = -c. Let w = -1 - -17. Calculate the remainder when j is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -22. Let q be (-9)\/(-2 - -5) - -1*o. Let y(m) = m**2 - 2*m + 2. Calculate the lowest common multiple of y(q) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*s + 135 - 135 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 1\/5, -3, -4, 1\/403, -0.5?\nAnswer: 1\/403","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 2 = 12*z - m, 10 = -z + 5*m. Solve -3*l - 7*j - 8 = -3*j, -2*l + 4*j + 28 = z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25195861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3 + 11892*d**2 - 430056*d + 3876336 = 0 for d.\nAnswer: -5982, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.66864914 rounded to 2 decimal places?\nAnswer: -2.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 + -129. Which is the biggest value? (a) 0.2 (b) 4 (c) q (d) 1\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2 - 12. Let u(t) = t**2 + 1. Let x = 1636 + -1624. Calculate x*u(c) + o(c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 11078786?\nAnswer: 11078786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -38 (b) 78 (c) -4 (d) -3\/8 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 5064*k - 191475.\nAnswer: 3*(k - 37)*(k + 1725)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 3*i**2 - 5*i + 14. Let c be a(-6). Let q = 419 + c. Calculate the remainder when q is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 1:54 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1397830.146 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88960 and 315520?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 + 2*o + 1. Let q(j) = -j + 5. Let i be q(-4). Let u(z) = z - 4*z - i + 4*z. Let h be u(7). Determine g(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 4) + -1 + (1 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102385453?\nAnswer: 53, 1931801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 65 + 5?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (470\/60)\/(-47) - (-43)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*d - 271*d = 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -78 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -527, -319, -7, 379, 809, 1253, 1681?\n\"Answer: -5*i**3 + 82*i**2 - 3*i - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -59358 and 3379563347?\nAnswer: 3379622705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = -0*h. Solve -4 = -h*n - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - -10. Solve -5*p + s = 2*k, -2*k + 7*k = 3*p + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121774 (base 12) to base 13.\nAnswer: 13b4876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 12444800 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 greater than 704713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n*n**(-3))*n**(-2\/3)*(n*n**1)**(-33)*(n\/n**6*n**(-3))**3 assuming n is positive.\nAnswer: n**(-260\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0188 - -95.9788. Let a = 90 - s. Let j = a + -0.04. What is the third biggest value in -2, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15629 + -6796. What is the thousands digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 95.85934nm?\nAnswer: 0.00000009585934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 - 47*l - 27. Calculate b(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82402043 to the power of 1\/3, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -903 + 485. What is u rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 36\/(-270) - (18418624\/60)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1.36\nAnswer: -0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 86 = -3*h. List the prime factors of h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35.6 - -36. Let s(o) = o**2 - 8*o - 4. Let k be s(8). Let v = -34 - -34. What is the fourth smallest value in k, w, v, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 946\/95 or 9?\nAnswer: 946\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1494 - -2493. Suppose o = 3*g - 868, 3*g - f + 121 = -4*o. What is g rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4132155291?\nAnswer: 3, 11, 73, 479, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 1 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5519.8337 rounded to the nearest one hundred?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13103010 (base 4) in base 16?\nAnswer: -74c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6657441 is divided by 1664356?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 161.48 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30290 minus -204?\nAnswer: -30086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-10))\/((-21)\/140). Let c be 2\/4*(-1 - -3 - w). Suppose 18*y + c = 23*y. Sort 11, -3, y in descending order.\nAnswer: 11, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707163.8mm to centimeters.\nAnswer: 70716.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 495803 by -5.\nAnswer: -495803\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - 84*t - 107. What is s(14)?\nAnswer: -891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 8*a**2 - 32*a + 7. Let i be m(11). Suppose -i*c = -948 - 1032. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of -169528804 and -1704.\nAnswer: -169530508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + d = s + 2*d - 14, -96*s - 32*d = -36*d - 196 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0.4. Let w = u + 0.5. Let y = w - 0.1003. What is y rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 - 31. Suppose f = w - 5*w + m, 0 = f + 1. Suppose 210 = 5*t - 3*t + 4*p, t - 3*p - 105 = 0. Calculate the highest common factor of t and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 163392.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 5*v**2 + 6*v + 3. Let r(l) = -2*l**3 + 6*l**2 + 7*l + 4. Determine 4*h(o) - 3*r(o).\nAnswer: 2*o**3 + 2*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35236\/9 + 3919. Suppose -2144 = -15*y + 19*y. What is the common denominator of y\/(-80) + (-2 - -4) and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -830, -1982, -3132, -4280, -5426, -6570?\n\"Answer: h**2 - 1155*h + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2392, -2393, -2394, -2395, -2396, -2397?\n\"Answer: -j - 2391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80811 is divided by 3108.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/88*8*(-20)\/(-2). Let b(m) = -199874 - i*m**2 + 199874. Let z(c) = 30*c**2. Determine b(z(t)).\nAnswer: -9000*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.25971 > -2.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -177 divided by 3\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/1796 - -748927\/8980. Let o = g + -83. Let q(r) = r**3 - 2*r**2 - 5*r + 3. Let u be q(3). Which is the smallest value? (a) o (b) u (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37965 to the nearest 1000.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**7\/420 - j**6\/120 - j**3\/6 + j**2. Let h(c) be the first derivative of x(c). Find the third derivative of h(q) wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 95 = 623. Let y = n - 615\/7. Let k = 59.5 - 59. Which is the biggest value? (a) k (b) y (c) 0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 3*x - 4*x + (2 - 2 + 2)*(-2*x + 2*x + x) + 5*x - 3*x + 0*x + 4 - 4 + 2*x + 2*x - 5*x + 2*x - 4 - x + 7 - 2)*(x + 118 - 118).\nAnswer: 6*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y**3 - 3 - 3*y**3 + 9*y + 2 - 5.\nAnswer: -3*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11148528 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*i**4*j**2 + 3*i**4 + 756*j**2 - j with respect to i.\nAnswer: 124*i**3*j**2 + 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*q - 8, l - 55 = -3*l - 3*q. Let v = l + -24. Which is greater: v or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 468 and 208.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014135768 rounded to 6 dps?\nAnswer: 0.001414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 - (7 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -91b (base 15) in base 12?\nAnswer: -122b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 2*x + 113156 = 13*h, 6 = -3*x. What is the highest common divisor of h and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 133780\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/2)\/(d**(-2\/7)*d))\/((d\/d**6)\/d)**(25\/4) assuming d is positive.\nAnswer: d**(268\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*g = 1427, 511 = 3*i - 5*g - 1582. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*sqrt(156)*2)\/(sqrt(300)*2 - sqrt(12) - sqrt(12)) - (6*(sqrt(325) - (sqrt(325) + (sqrt(325) - (0 + sqrt(325))*-3)**2)) + -4).\nAnswer: -sqrt(13) + 31199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(17) - (sqrt(68)\/sqrt(4) + 3))**2.\nAnswer: 42*sqrt(17) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013695189 rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -38657677, -77315362, -115973047, -154630732, -193288417, -231946102?\n\"Answer: -38657685*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**3 + 0*i**3 - 3*i**3 + (-3*i**2 - i**2 - i**2)*(33 - 33 - 6*i) to y*i**3 + a*i**2 + c*i + l and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13603676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6689.493 decades to centuries.\nAnswer: 668.9493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/3136*-4*28\/8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1292\/18 + (-14)\/(-63). Suppose 0*h = 3*h - y. Calculate the remainder when h is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22261540 and 1908132?\nAnswer: 66784620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.12463\nAnswer: -0.12463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 7*k - 4*k)*(-2 - 3 - 3 + (-4 + 5 - 3)*(-3 + 1 + 1) + 3 - 3 - 2 - 5 + 3 + 3 - 3 + 0 + 2 + (-3 + 2 - 1)*(1 + 2 - 5)) to q*k + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 8:28 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -3. Let b = -1\/9583 + -19157\/86247. What is the closest to b in -5, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 15 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 + 0 + (15 - 8) + -9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 = -0*w. Let q = w - -46. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121310 (base 5) to base 14.\nAnswer: -1952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (0 - -16 - (16 - (3 - -7)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -49 + 9 - -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*y - 3*d - 0, y - 4*d = 6. Let t(g) = g**2 + 4*g - 9. Let s be t(-7). Solve 2*b - s = -y*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**2 + 2*b**2 + 2*b**2 + (23 - 23 - b)*(1 - 1 + b) as s*b**2 + c + x*b and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2. Let o = 21 - 13. Let n = 8 - o. Which is smaller: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 6 - (-34 - (7 + -23 - -15)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109199?\nAnswer: 109199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.15 decades to millennia.\nAnswer: 0.2115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvaa when four letters picked without replacement from {j: 2, q: 1, a: 7, v: 2}?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*a + 69*a + 29*a - 924. Let b(y) = -25*y + 142. Calculate b(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 2560?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81183 + -9415092?\nAnswer: -9333909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (92 + -88)*10\/4. Solve 17*f + 7 + g = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4383034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhhhhhllllh.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2, 1\/18699 in increasing order.\nAnswer: -2, 1\/18699, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -8. What is the least common multiple of f and (-6)\/(-2) + 2 + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 905447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 18*z + 42. Give m(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 2*b + 3*b)*(3*b - 3*b - 2*b)*(1 + 1 + 2)*(b - 19*b + 42*b) in the form v + r*b**2 + m*b + d*b**3 and give d.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-3) - -10*1\/2. Which is bigger: v or 14\/13?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of z**2 - 2. Let r(f) = 2*f. What is r(a(y))?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253 and 3658679?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-93)\/(-3)*2)\/(-2). Let l = a - -44. Let z = 8 + l. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -118 (base 12) to base 2.\nAnswer: -10100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2969 greater than -2971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 143*d + 149*d + 4 - 27*d**3 - d**2 - 4 - 293*d in the form z + b*d**3 + a*d + y*d**2 and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 88?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 5. Let h(w) = w. Calculate 2*h(t) - r(t).\nAnswer: t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -26811\/2 and -247\/50 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38\/5? (a) -5 (b) -15\/4 (c) -2 (d) -0.5 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 12. Let k be z(12). Let r(c) = 3*c**2 - 2*c**3 + k*c**2 - c + 0*c - c. What is r(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 6:36 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7*u - b - 9, 2*u + 2*b = -6. Suppose -3*i = v + 8, 4*v - 1 = i - 7. Let s = 4 - 0. Sort u, v, s in decreasing order.\nAnswer: s, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/12*(7 + 2). What is the closest to 1\/4 in -0.3, 2\/23, r?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 58*i**2 + 586*i + 55. Let m be x(-45). Solve -123*o + 121*o - m = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 63*z - 318, 80*z - 82*z = -2*h - 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144545 is divided by 142.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*y - 17, -y = -4*h + 8 + 3. Solve 2*k + 30 = 5*i, -5*i + 0*k = h*k - 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4739? (a) -2\/7 (b) -1\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + 48512 - 28*o**3 - 48674 + 29*o**3.\nAnswer: o**3 + 7*o - 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 602820 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 63*j + 182. Give g(-18).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r**2 + 14*r**3 - 6*r**2 + (-19*r**3 - 4*r + 4*r)*(4 - 3 + 2) + 0*r**2 + 0*r**2 + 2*r**3 in the form o*r + t + k*r**3 + n*r**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 - 209 - 96 = -37*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -3230211131?\nAnswer: -3230211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5420403 (base 6) in base 12?\nAnswer: -10a703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.98 - 0.02. Let m = 7 + x. Are m and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {x: 2, j: 1, v: 6, n: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 9 = -95*p + 93*p, 4*p + j = 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1096 = -10*s + 12664. Does 32 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -334, -305, -264, -211, -146?\n\"Answer: 6*j**2 + 11*j - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -5) + -17 + 11 + -11 + 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 1. Let j be w(0). Let a = 35\/93 - -5474\/1023. Let n = -597\/110 + a. Are n and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189292 by 5116.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -354, 2\/9, -36?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 5*g = 64. What is the remainder when (g\/4 + 2)*-16 is divided by 18 + -3 - 24\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011010111000010 + -10?\nAnswer: 10111011010111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18759\/(-1014) + ((-9)\/6 - 1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6975 and 478485?\nAnswer: 2392425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -254*i + 250*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 2. Let m(v) be the first derivative of 0*v**2 + 2\/3*v**3 + v - 16. What is 5*m(a) - 3*w(a)?\nAnswer: a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52799 and 47212.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1532403 - 2?\nAnswer: 1532401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -124a964?\nAnswer: 124a962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 15*k - 78 + 363 + 390 = 0, 0 = 3*w + 2*k - 97 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88516096 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 3.5, 1, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5024150 + -15?\nAnswer: -5024205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 8)\/(4 + -14). Let c = 0.066 + 1.834. Which is bigger: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (1*sqrt(119)*1 - sqrt(119)))\/((sqrt(42)*-2)\/sqrt(6)))**2 + ((sqrt(187)*-1)\/sqrt(11) - (3 + sqrt(34)\/sqrt(2))**2)*4.\nAnswer: -28*sqrt(17) - 399\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -318*h + 438 wrt h.\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -1. Let k = l + -1. Let g = 17.7324 - 4.7324. Which is the nearest to g? (a) k (b) 1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 25*l**2 + l**3 - 3*l**4 - 3 - 2*l**4 + 6*l**4 - 26*l**2 to the form n*l + m*l**3 + i*l**2 + z + v*l**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1527797055?\nAnswer: 3, 5, 17, 197, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 7) in base 3?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5737 - 3847. What is l rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46250784?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1404359 and 2298042?\nAnswer: 25278462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*x + 2*x - 6, g - x = -3. Sort -5, 13, -0.2, g in descending order.\nAnswer: 13, g, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3dde17 (base 15) to base 5\nAnswer: 1230431142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*q - 1 + (3 + 0 - 2)*(6*q - 19*q - 16*q) + (5 - 3 - 1)*(-4*q + 2*q + 0*q) to the form j + u*q and give u.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i*i**(1\/2))\/i)**(1\/49))**4*i**(-4)*i\/i**(-3)*i\/((i*(i\/((i*i**1)\/i)*i)\/i)\/i)*i**(-1) assuming i is positive.\nAnswer: i**(10\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 101821 = -80393. Does 54 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*a = 68*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 14. Let h be (3\/(-12)*6)\/(8 - 5). Let g = 0.15 - -0.05. Which is the nearest to h? (a) g (b) -0.28 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.47 - -4.194. Let g = -16.28 + 16. Let l = g - h. Round l to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153639*x - 153037*x + 306679*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, o: 8}. What is prob of sequence uo?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/103 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v + 1. Let m(u) = -9*u + 1. Let b(d) = 3*m(d) - 7*y(d). Let n be b(0). Sort 4, n, 5, -2 in decreasing order.\nAnswer: 5, 4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**39*k**(-2\/63))**(-4) assuming k is positive.\nAnswer: k**(-9820\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 7:15 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 197114850 divided by 19711485?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295627477 to the power of 1\/2, to the nearest integer?\nAnswer: 35995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25420099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-70)\/(-22) + 5*(-10)\/275. Let d(l) = -l**2 - l + 3. Let b be d(-3). What are the prime factors of b\/(w\/(-52)) + 0?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24764*h + 24772*h - 160 = 0 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*((-6)\/(-4))\/(-3). Let j(l) = -8*l - 1. Give j(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**3\/3 + 1. Let x(q) be the first derivative of 30 + 0*q**2 + 0*q - 2\/3*q**3. Determine b(x(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 680201849 to the nearest integer?\nAnswer: 26081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sggggggggsggsgg. What is prob of sequence gsg?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-2 + 0) + 2. Let k be t\/(-2) + (-32)\/18. Factor -2\/9*v**4 + 0*v**3 + 0*v - k + 4\/9*v**2.\nAnswer: -2*(v - 1)**2*(v + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 290 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22475940 divided by -5618985.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1372*t**2 - 20577*t - 34. What is m(15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-1 - -1)) + (-69)\/(-3). Let j be -3*3\/(-12)*4. Suppose 0 = f - j*f + 8. Solve 4*p + f*b - 16 = 2*b, 2*b - z = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 2*z - 3. Let s be i(2). Suppose s*t = 40 - 0. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11d (base 14) to base 9.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.367074?\nAnswer: -0.0734148","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5067, -5049, -5019, -4977, -4923, -4857, -4779?\n\"Answer: 6*q**2 - 5073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72824 - -72818.1539. Let b = k + -0.0239. What is b rounded to 1 decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59916790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*n**3 - 13*n**3 - 5*n**3)*(-5 + 4 - 1)*(5*n - 5*n + n)*(-16 + 21 - 13) in the form k*n**3 + s*n**2 + h*n + t*n**4 + w and give t.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 72.\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -10, 4, 5 in increasing order.\nAnswer: -10, -6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72382*a**2*b**2 - 2*a**2*b*s**3 - 2*a*b**2*s**3 - 208*a*b**2*s + 29*a*b**2 + 7*a*s**2 wrt a.\nAnswer: -144764*b**2 - 4*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21239021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**3\/2 - 2*o**2 + 9*o. Does 10 divide d(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350*g - 184 + 1584 = 0. Let u(s) = 3*s**3 + 12*s**2 - 2*s - 13. Give u(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30567014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/(-21) - 464\/(-126) and -25\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1127, 2255, 3387, 4523?\n\"Answer: 2*q**2 + 1122*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -9*w**3\/2 - 49*w**2\/2 - 30*w. Let b be p(-2). Solve -b*a - 19 = 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 298*l**3*p**3*r - l**3*p**2*r**2 + 1026*l**3*p**2 - l**3*r - 11*l**2*p**3*r**2 + l**2*r - 3*l*p wrt p.\nAnswer: 1788*l**3*r - 66*l**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 5:48 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56022 - 0.5.\nAnswer: 56021.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 + 0.6. Let h = 279 + -274. Sort 1, h, u in descending order.\nAnswer: h, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 25, -44, 94, 2 in decreasing order.\nAnswer: 94, 25, 3, 2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + b - 5 + 2*b)*(-20 - 20 + 55) to the form f*b + u and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/13 - 1606*x\/13 + 233784\/13 = 0.\nAnswer: 191, 612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -5, 40, 123, 256, 451, 720, 1075?\nAnswer: 1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -41. What is the lowest common multiple of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2326.083ms to microseconds.\nAnswer: 2326083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**9*x*x*x)\/x**(4\/5))**(4\/23)\/((x\/(x*x*(x*x**(7\/6))\/x))\/x**(-11))**12 assuming x is positive.\nAnswer: x**(-11926\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -238 - -455. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6ad - -5?\nAnswer: 6b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 8) + (10 - (2 - -11))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.095 (b) -0.5 (c) -279 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -189 + 194. Suppose 2*p - 4*w = 4*p - 26, n*w - 19 = -p. Let g = -8 - -14. Solve -5*r = c - g - 9, -p = -2*r - c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(700) + 4*(sqrt(700) - sqrt(700)*1) + sqrt(700) + sqrt(700)*1*1))\/((3*sqrt(1944))\/(3*(sqrt(54) - sqrt(6)))))**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -426*f - 38336. What is w(-88)?\nAnswer: -848","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26, 124, 288, 518?\n\"Answer: 33*b**2 - b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/8)\/c**(1\/8))\/(c**(-2\/9)\/c**4) assuming c is positive.\nAnswer: c**(161\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = 20*f - 3714. What is the remainder when 562 is divided by f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37017\/55 + -673. Is m smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 782*p - 282*p + 23424 = -35*p + 151*p for p.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2*c + 6 - 1 + 7 to y + s*c and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - b = -6*b - 19, 0 = -3*q - 4*b + 40. Let a be (-30)\/4*q\/(-9). Let u = a - 0. Calculate the greatest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.08 (c) 1 (d) 6 (e) 0.05 (f) -0.1 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s. Let j(g) = 38*g + 1491. Calculate j(k(l)).\nAnswer: 76*l + 1491","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6524*s + 6509*s - 20 = 3*a + 13029*s, 3*a - s + 5 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*f**2 - 4*f**4 + 14*f**2 + 2*f**4 wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 12, 20, 28?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/s**(1\/3)*s)**(-49)*s**22\/(s**(-6)*s))**(31\/5) assuming s is positive.\nAnswer: s**(-14198\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.65317423 rounded to 4 decimal places?\nAnswer: -3.6532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a hour in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*a - 247 + 1169 = -907. What is the lowest common multiple of a and (36\/2)\/(-1)*-1?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 646*d**2*k**4 + 991*d**2 + 138*d*k - 118*k**4 + k**2 - 1 wrt k?\nAnswer: 15504*d**2*k - 2832*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccxwswcwwsswwsscchc. Give prob of picking 3 s.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 0*z**2 + 1\/80*z**5 - 1\/16*z**4 + 0 + 48*z - 1\/6*z**3. Factor l(n).\nAnswer: n*(n - 4)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.027 and -0.66?\nAnswer: 0.01782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.1. Let r be (-2)\/10 - (-9)\/180*28. Which is the closest to t? (a) -1\/2 (b) r (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.061157 weeks?\nAnswer: 4270587753.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 15 - 3 = 0. Let l = q + -6. Find the third derivative of d**2 - 2*d**3 + 0*d**3 - 3*d**2 + l*d**2 wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170*0.12065.\nAnswer: -20.5105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29601?\nAnswer: 3, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12, -4 in descending order.\nAnswer: 12, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 2*s**2 - 7. Let n be t(-3). Suppose -5*p**4 + 20*p**3 - 32*p + 26*p**2 - 36*p**n + 15 + 12*p = 0. Calculate p.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) 13 (b) -0.05 (c) -4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 71.39801 millilitres?\nAnswer: 0.07139801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.8, -86, 0?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 2)*(0 + 0 + 3*h) + h - 1 + 1)*(-73*h - 50*h + 96*h).\nAnswer: -189*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-8385)\/9100)\/(-43)*-10\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 815+-1706106.9\nAnswer: -1705291.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(99)*1 - (sqrt(1100) + -1)) + (4*sqrt(11)*2 - (-1 + sqrt(11))*-3))**2.\nAnswer: -360 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/2 + 0 - -8. Solve -i = -t - 3*d, 5*t + 5*d = 15 - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2661 divided by -187.\nAnswer: -2661\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-12)\/(-1620)*-9\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 0*b - 1\/3*b**5 + 0 + 0*b**2 + 0*b**3 + 9*b**4 = 0.\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 84102494?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -195.\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 2. Let y be (-12)\/(-5) - (-6)\/(-15). Let p be f(y). What is the units digit of (0 - (-3)\/6)*p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116425\/(-1200) - (5 - 1205\/240).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70215.\nAnswer: 3, 5, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 0 + 1\/120*z**5 + 6*z - 1\/6*z**4 + 0*z**2 - z**3. Let n(u) be the second derivative of h(u). Determine n(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/5 of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o + 578 = -31*o + 23*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22900212 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 45. Sort z, -2\/7, 0.3, -0.5 in decreasing order.\nAnswer: 0.3, -2\/7, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2 + 17*j - 1. Let d(q) = q**2 - q - 1. Let w(g) = 2*d(g) + r(g). Is w(7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - c + 9, 5*c - 26 = 2*u - u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 - 1. Suppose -a - 1 = -5*c - 4, 3 = c + a. Suppose 5*y + 9 - 50 = 4*h, 5*y - 3*h = 37. Suppose y = -c*s + 5*s. What is t(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*d**2 - 21*d**2 - 3*d**2 - 48*d**2.\nAnswer: -114*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007767433516 to 6 dps.\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**4 - 30128*a**3 + 56731024*a**2 = 0. Calculate a.\nAnswer: 0, 3766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 6, 4 in increasing order.\nAnswer: -3, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -341.859 to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 217171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(684) - (sqrt(684)*1*6 + sqrt(684))) + sqrt(684) + -2 + 0 + sqrt(684))**2 + -2.\nAnswer: -96*sqrt(19) + 10946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-878)\/(-6) + (8 - (-175)\/(-21)). Solve 51*x = 160 + c for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 11) to base 2.\nAnswer: 1111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1422830.\nAnswer: 2, 5, 263, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*u - 2645 - 3175, -4*y - 4*u + 4692 = 0. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19876925399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -10. Let c = 7\/85850 - -171623\/944350. What is the nearest to -0.2 in -2\/9, c, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28992 - -29311. Calculate the remainder when h is divided by 157.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.087 + -6.087. Which is the nearest to 2\/17? (a) p (b) -4 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -852\/1985 or 1?\nAnswer: -852\/1985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(4 - 5 + 3)*(374*b - 253*b - 341*b).\nAnswer: 880*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14542161 a multiple of 1497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0215 + -0.3785. Let y = -13 - -9. Let l be (-20)\/6 - y\/12. Which is the biggest value? (a) l (b) 1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5))**(-32)\/(u**(-3)\/(u*(u\/(u*u\/(u\/u**3)*u*u))\/u)) assuming u is positive.\nAnswer: u**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018837611013 to seven dps.\nAnswer: -0.0018838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -10\/1613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 98 - 68 = 0. Suppose -l*z = -0*z + z. Solve z*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (4 - 6) + (3 - -7) + (-3436 - -3534).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -29*i - 1. Let o(m) = 88*m + 7. Calculate 7*j(z) + 2*o(z).\nAnswer: -27*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-41 - -39)*2*-3. Let b(i) be the first derivative of 1\/9*i**3 + 1\/6*i - 1\/4*i**2 - j. Determine l, given that b(l) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124733837 to the power of 1\/3, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1710 + 1713 + (17 + -21 - (4 + -1 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9449 = 21*q + 195*q - 17352 + 8873 for q.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwffwffwcfffnfwlcf. What is prob of sequence lc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -88552508 bigger than -88552507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -84*o**2 - 231*o + 710. Determine t(3).\nAnswer: -739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g = -2*d + 31*g + 14, 5*d + 5*g - 25 = 0. Solve 29 = d*y + 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -15*f**3 + 6*f**2 + 4*f + 9. Suppose -6 = -9*a + 21. Let u(s) = -14*s**3 + 6*s**2 + 3*s + 10. Let w(o) = a*u(o) - 2*x(o). Is w(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -367348 * -0.15\nAnswer: 55102.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -12*m - 104. Let n(w) = -w**3 - 3*w**2 - 3*w - 3. What is the remainder when n(-5) is divided by x(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6333756 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2806488 and 2556?\nAnswer: 2806488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 312.0841152 rounded to 1 dp?\nAnswer: 312.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-258)\/840 + 13\/52).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d - 1180?\nAnswer: -1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -567540, -1135082, -1702624, -2270166?\n\"Answer: -567542*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34*s**4 + s**2 - 33*s + 2358754 wrt s?\nAnswer: 136*s**3 + 2*s - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3393)\/(-21489))\/(9\/228)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**3 + 15. Let k(y) = 6*y**2. What is k(w(x))?\nAnswer: 54*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 1)*4*(-6)\/36. Let j(k) be the first derivative of -3*k**2 - 5*k - 1. Let y be j(h). What is the greatest common factor of 35 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107211097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*m**3*x**3 - 81964*m**3*x + m**2*x - 2*m**2 + 4*m*x - 254*x**3 + 2*x**2 wrt x?\nAnswer: -138*m**3*x - 1524*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 13*z - 4)*(0*z**3 + 0*z**3 + 3*z**3) as u + l*z**4 + o*z + s*z**2 + y*z**3 and give l.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/5 - 32\/40. Sort -3, -4, z.\nAnswer: -4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5675, 5677, 5681, 5687?\n\"Answer: g**2 - g + 5675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130261 is divided by 753?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 10*o. Let n be u(1). Solve 0*j = -2*j + n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -14. Suppose -2 = 3*v - 14, 0 = 3*s + 5*v - 20. Suppose 5*a - 7 - 13 = s. Put 2, d, a in decreasing order.\nAnswer: a, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggkxgxggfkeg. What is prob of picking 1 e and 1 g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 249540 divided by -15\nAnswer: -16636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24295 and 765039832?\nAnswer: 4859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/9*l + 2\/9*l**2.\nAnswer: 2*l*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*m - 20, 5*i - 2 = 8*i + 4*m. Let h be (-12)\/(-3)*(-2)\/i. Does 23 divide (1 - -11)*(1 - h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3*z**2 - z)*(2 + 0 - 4*z + 2*z).\nAnswer: -6*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -288524.29 less than -46926?\nAnswer: 241598.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 3:18 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 11672.\nAnswer: 23344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1377) + -1)*-1 - (1 + -2*sqrt(1377))*-3 - ((sqrt(1377) + (0 + sqrt(1377))*-6 - (1 + sqrt(1377) + 2)) + (sqrt(1377)*-2 + 3)*4))**2.\nAnswer: -1008*sqrt(17) + 67537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3*0 - 610\/1100. Let k = 21\/22 + h. Is -3.9 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d78 + -2184?\nAnswer: -130b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37759*b**2*d + 805*b*d + b - 3*d - 1 wrt b.\nAnswer: 75518*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1499694, -11997585, -40491864, -95980725, -187462362, -323934969, -514396740?\nAnswer: -767845869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/t**7)*t**(-9)*(t\/(t**(-2\/15)*t))\/((t\/t**5)\/t))\/(t**(2\/5)\/(t**(-2\/23)*t*t)*(t\/t**(-5))\/t**9) assuming t is positive.\nAnswer: t**(2293\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7227 and 396.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 375 and 507915?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14cfc6 (base 16) to base 4.\nAnswer: -11030333012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5040 by -3.\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 l when three letters picked without replacement from wcplwwlppdlplv.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -11*r**5\/5 - 79*r**4\/4 - 124*r**3\/3 - 10*r**2 - 2058. Solve z(i) = 0.\nAnswer: -5, -2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**6\/30 - g**5\/2 - 13*g**4\/12 + 10*g**3 - 18*g**2 + 2*g + 6. Factor t(q).\nAnswer: -(q - 1)**2*(q + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -d0?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7479723 - 4226*j - 1667*j - 3581*j + 23*j**2 + 0*j**2 - 20*j**2.\nAnswer: 3*(j - 1579)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 121 + 59 + 32*k**2)*(-k**3 - k + k).\nAnswer: -32*k**5 - k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45254 and 3104.\nAnswer: 70234208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(6)\/(sqrt(48) - sqrt(3)))*-5.\nAnswer: -10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9844.199l in millilitres?\nAnswer: 9844199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**4\/3 + 12*t. Let s(l) = -2*l. What is n(s(m))?\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/7 (b) 195 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2229 times 2\nAnswer: 4458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 6*j = 5*x + 16, 3*x - 4 = -j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-1*sqrt(77) + sqrt(77)) + sqrt(77))*1)\/(sqrt(21)\/(sqrt(9)\/sqrt(3)) - sqrt(567)*-1).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (128\/160)\/(1008\/(-40))?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -54*n. Let p be l(-3). Suppose p - 20 = -2*x. Let h = -50 - x. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44066 (base 8) in base 16?\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 15*h**2 - h + 26. Calculate the remainder when r(-7) is divided by 86.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -16*h. Suppose 0 = -4*b - b - t + 13, -t = -4*b + 5. Let i(r) = -375 + 191 + 184 - b*r. Determine g(i(x)).\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 64. Let y(k) = -20*k**3 + k**2 + 3*k + 3. Is y(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - 3*c**4 - 2*c**3 + (3 + 2*c**2 - 3)*(-6*c**2 + c**2 + 3*c**2) + c**4 + c**4 - c**4.\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -287*s - 1076. What are the prime factors of f(-12)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(24\/10) + 1. Let t = -5.46 - -0.06. Let k = t + 5. What is the third smallest value in 0.1, k, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*w**2 + 50*w**2 + 31*w**2 to z + o*w + i*w**2 and give i.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -3\/2, 132, -1\/8 in increasing order.\nAnswer: -3\/2, -3\/7, -1\/8, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 263 - 130. Let j = m + -141. Sort 1, j, 3\/5 in decreasing order.\nAnswer: 1, 3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 343792652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -650 - 120*l**4 - 690*l**2 + 646 + l - 3*l + 689*l**2 to h + w*l**3 + b*l**2 + p*l**4 + v*l and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 16. Let h(t) = -214*t**3 - 2*t**2 - 4. Let x be h(w). What is x rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 135 + 92b41?\nAnswer: 93076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + 21 + -16 - -3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79465.938029 + 79466. Let s = q - 0.062. Round s to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (39 - 24)*1\/(45\/12). Which is the closest to 268? (a) f (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 71\/1526?\nAnswer: 71\/1526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 459 and 258485?\nAnswer: 6979095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-534963 + -4))*9\/45 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1.7. Let w = 0.5 + c. Let y = -4 + 6. Is y at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2661744446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199606 is divided by 1919?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 159353459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 3*h + 1158 - 1146, -6*h + 24 = -8*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 37 - 18 = 0. Suppose 17*z - 13*z + 4*f = 24, -3*f + 32 = i*z. Solve 10 = -4*b - 0*x + 2*x, -x = 2*b + z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -78, 1\/4, 0.017, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000606 to seven dps.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112384711 to the nearest integer?\nAnswer: 10601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.2214 rounded to the nearest integer?\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 5 - ((0 - -8) + (0 - (-8 + 11)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*a + 1822 - 5412 = 2486 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 15, 4*x - 3*x + 5*z = 21. Suppose 4*v + 27 = 7*v. Suppose v*w = x*w + 9. Solve 0 = 2*h - w*h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 14 = 13*y. Solve 2*f + 8 = 2*j - 6*j, 5*f + y = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + b + 1. Let w(j) = -j**2 - 4*j - 4. Let h(f) = 4*d(f) + w(f). Find the third derivative of h(s) wrt s.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i = -3*z, -3*z = 5*i. Suppose -480 = -z*d - 4*d. Suppose 5*j - 5*c = d, 3*c - 7 + 25 = j. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1814687509?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40443056 and 8.\nAnswer: -40443048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.395 - 0.396759. Round d to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143 and 77?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvb when three letters picked without replacement from {r: 1, b: 2, l: 1, d: 1, v: 1, m: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3054431.\nAnswer: 223, 13697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*f + 270, -3*o + 4*o + 5*f + 3*f = 4*o - 48 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**0)**(-7\/4))**(-8))**(6\/11) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/8)\/(-6)*2\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -10.36. Let s = 0.3 - d. What is s rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 936 - 640. Let b = j + -290.42. Round b to one dp.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481781?\nAnswer: 23, 20947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -279*o + 10. Let b(s) = -10*s + 4. Let q(v) = 2*b(v) - c(v). Let j(p) = -6*p. What is j(q(n))?\nAnswer: -1554*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m + 28. Let v(i) = 7*i + 20. Let n(g) = 5*t(g) - 7*v(g). Let y(d) = -d + 1. Give -2*n(r) - 3*y(r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 10) + (7 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 51. Let z be 24\/(-36)*x\/4. Put z, -2\/7, -2 in descending order.\nAnswer: z, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205317 is divided by 46?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3826314 divided by -1275438?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15 - -17) + 223)*(-11)\/(-1). Suppose 5*v + 4*j - i = 0, -18*v - 5*j = -13*v - 2475. List the prime factors of v.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-112)\/4 - 1. Let q = d - 12. Let x be -1 - (2 - 6 - 1). Solve j + 3 = 2*h, x*j + 0*h = -h - q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2159 - -4321\/2. Is f greater than or equal to 73\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 166, -4, -5 in decreasing order.\nAnswer: 166, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzs when three letters picked without replacement from zzzszzzz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -0.5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (16008\/178089)\/(2\/89)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 2275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 1\/2, -0.4, -3, 2\/7, -25 in increasing order.\nAnswer: -25, -3, -0.4, 2\/7, 1\/2, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -139\/774908?\nAnswer: -139\/774908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1662*x - 1176*x - 6720*x.\nAnswer: -9558*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2669 - 2677. Let c(z) = z**2 + 10*z + 22. Calculate c(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3 + (-1 - 2 + 4)*(0 - 1 + 0) + 3 - 1 - 4 + 2 - 3 - 1 - 6 + 5 + 2)*(b - 4*b + 5*b)*(0*b + 3*b - b).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*sqrt(448).\nAnswer: 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r = -30*r - 7. Let m be 5*((-36)\/15)\/6*r. Solve -m*n = 6 - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 49588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1507*s + 3013*s - 1508*s + 24.\nAnswer: -2*s + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 751*j**4 - 798*j**4 - 228 - j**5 + 235 - 2*j**5 + j**4 - j**4 + (0*j + 0*j - 2*j**3)*(j**2 + 0*j**2 + 0*j**2).\nAnswer: -5*j**5 - 47*j**4 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:48 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5515 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*r - 112 = 59 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2 - 9\/30) + (-608)\/190. Which is the nearest to 0.2? (a) 4 (b) y (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5016 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: Calculate the highest common factor of 40919 and 15283.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 11 + 1 = 0. Let t(u) be the first derivative of -2\/3*u**3 + 0*u**2 + u - z. What is the derivative of t(i) wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 4*a - 5*a)*(-4*a**2 + 4*a**2 + a**2) + (-5*a - a - 2*a)*(-3*a**2 + 2*a**2 - a**2).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50303*t**4*w + 615*t**2*w**2 - 171*t*w**2 - 51*t*w - 9*t - 51*w**2 wrt t.\nAnswer: 603636*t**2*w + 1230*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3*i + 4 = -23, 4*i + 24 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**2\/2 - 3527*y\/2 + 46189 = 0?\nAnswer: -3553, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 11. Suppose 26 = 5*c + 4*m - 4, r = -2*c + 2*m. Suppose w = c*w - 2*f - 321, -w - 5*f + 307 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2728 - -0.8223. What is n rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 2 + 2 + 8429*u**3 - 8422*u**3 - 17*u**4 to the form v*u + f*u**4 + s + r*u**3 + m*u**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 1\/6, -3 in decreasing order.\nAnswer: 7, 3, 1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 542 (base 11) to base 12\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + 3. Let q(n) = 21*n - 18. Calculate 13*b(z) + 2*q(z).\nAnswer: 3*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 17 = -2*q. Let m = -15 + q. Let o be (m - -4)*2\/2. Solve -3*y = 2*j + 7, -y + 2*y = o*j + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5524*f**4 - 346.\nAnswer: 22096*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 14. Let r be y(7). Suppose 0 = k - 0*k - 27. Suppose d + 12 - k = r. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30240)\/63840)\/((-6)\/(-1786))?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -13*b**3 + b**2 - 9*b - 9. Let p(j) = -3*j**3 - 2*j - 2. Let a = 3 - 5. Suppose 6*s = -0*s + 54. What is a*o(g) + s*p(g)?\nAnswer: -g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 11733 = 4*m + 33934, -2*r + 5*m = -91352. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201613198.\nAnswer: 2, 6197, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1043235 by 9.\nAnswer: -115915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1529 is divided by 167.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 + 186*k**2 - 347*k + 3336. Determine z(-95).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226352577.\nAnswer: 3, 11, 6859169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b - 5*b - b - 2*b - b**2. Determine t(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 26 - 19 - 2*z)*(2*z**4 + 4*z**4 - 3*z**4).\nAnswer: -6*z**5 - 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -15*w + 4. Let k be y(4). Let h = -48 - k. Suppose -7*t - h*t**3 + 7*t + 4*t**4 + 10*t**5 - 6*t**5 = 0. Calculate t.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5737c + -1504?\nAnswer: 55c78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i**(5\/4)*i))\/i)\/((i*i**(-10))\/i))\/(i**7*((i*i**(-3\/5))\/i*i)\/i) assuming i is positive.\nAnswer: i**(47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 39973 - 79946 + 2*x**2 - x**3 + 39973.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 106.\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136016?\nAnswer: 2, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - l. Let x(m) = 8*m**2 - 7*m + 4. Let q(p) = -x(p) + 6*z(p). Let b be q(-6). What is b rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -1800208.\nAnswer: 25\/1800208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/(-10)*(-8)\/5. Find the second derivative of h**4 + 7*h**5 + 5*h - h**z - 2*h**5 wrt h.\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**8\/84 + v**7\/70 - v**6\/24 - v**5\/20 + v**4\/24 - v**2 - 3. Let d(f) be the second derivative of u(f). Factor d(i).\nAnswer: i*(i - 1)*(i + 1)**2*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**22*p))\/p**(-2\/33))**(2\/9) assuming p is positive.\nAnswer: p**(-1514\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70348009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133 - -132. Let c(q) = -73*q - 1. Is c(o) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**6\/72 - t**5\/120 + t**4\/24 + 8*t**3 + t**2\/2 - 222*t. Let f(l) be the second derivative of s(l). Calculate f(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 7. Let g be m(-3). Let i be 4 + g + 364780\/48. Let p = i + -7606. Find the common denominator of -103\/10 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140 divided by 28\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4817200 rounded to the nearest 100000?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2785*t**4 + 529*t**3 - 2843*t**2 + 50*t + 2?\nAnswer: -66840*t + 3174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -24. Which is smaller: -2\/11 or x?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 52208*d - 1252388. Determine r(-24).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygjyjpuur. What is prob of picking 1 p and 1 u?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1722769820 rounded to the nearest 1000000?\nAnswer: -1723000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -0.0975867.\nAnswer: -1.9024133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s + 0*s - s)*(-3*s**3 + 3*s**3 + 4*s**3) + 40*s**4 + 5*s**3 + 14*s**4 - 66*s**4 + s as i + o*s**2 + g*s**3 + t*s + m*s**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**2. Let g(v) = 9017*v - 4. What is g(u(l))?\nAnswer: -36068*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*v - 2389 = 1061. What is the smallest common multiple of 21 and v?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -9\/2 (c) -50.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 + -52. Calculate the remainder when 192 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - d - 2*d**2)*(-5 + 3 + 3) + 4*d - 183 + 11*d**2 + 180 - 2*d**2 to t*d + y*d**2 + x and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 + 24?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-6))\/2)\/(56\/(-84))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 2. Suppose 3*w - 54 = 2*u, 2*w - 3*w - 2*u + 26 = 0. Calculate the smallest common multiple of y(-4) and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + u + 2 = 0. Let c be 1\/u - (1 - 2). Suppose -c*a + 1059 = a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q - 3*d + 65, -3*d - 19 = 2*q. Let j = q - -10. Let k = j - -6. Solve 0 = 5*s - 4*p - 37, 6 + 10 = k*s - 2*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -2*k**6\/3 + 64*k**5\/5 - 64*k**4 + 424*k**3\/3 - 158*k**2 + 88*k - 810. Factor i(s).\nAnswer: -4*(s - 11)*(s - 2)*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 0.723255.\nAnswer: 0.623255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1401515 and -0.1231.\nAnswer: 1401514.8769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-154)\/(-147))\/((-8)\/(-18)) and 7\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4097705356 to the nearest integer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*j, 2*j - 3 = 2*d - 11. Suppose m = -d + 23. Suppose 0 = -3*n + n + m. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26657, -106543, -239685, -426083, -665737, -958647?\nAnswer: -1304813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, 0.1, -6\/133, 0.4, -1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 105.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 12*x - 7*x - 30 = 0, -5*x + 9 = 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**3 + 18902520*t**2 + 17865282020025*t + 35730488430010 = 0. What is t?\nAnswer: -1890251, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020112201100001 (base 3) to base 10.\nAnswer: 17827210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 + 2*k - 2. Let c(a) = 16*a**2 - 7*a - 5. Let d(y) = -15*y**2 + 7*y + 3. Let h(n) = 5*c(n) + 6*d(n). Give 2*h(m) - 7*q(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -66\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 2:52 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*v = -0*v + 1, -2*n - 3*v - 6 = 0. Let s = n + -1. Suppose -4*i + 2*i = -s. Which is greater: -2\/17 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7485, 28595, 63375, 111825, 173945, 249735, 339195?\nAnswer: 442325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1679)\/(-345) - (-4)\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114845 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37652, 155498, 351914, 626906, 980480, 1412642?\nAnswer: 1923398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 4:42 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6138 divided by -6.\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbmt when four letters picked without replacement from {z: 5, e: 2, b: 1, m: 2, t: 8}.\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i - 31*i = 5*k - 59, 3*k = 16*i - 285 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 14 - 8 + 5*n + 9 - n. What is the units digit of m(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2215*l - 1377698. Calculate k(622).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -2 - 5 - (0 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -433 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 497 or 3?\nAnswer: 497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -246 + 249. Solve u + 1 = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -116, -139, -164?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67908655 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + i + 0)*(-2*i - 2*i - i) + 3 - 3 - 2*i**2 - 28 + 28 + i**2 + i.\nAnswer: -6*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11137, 11136, 11135, 11134, 11133?\nAnswer: 11132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = r + 5, 3*r + 0*t - t - 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 613121429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.08 + -0.08. Let g = h + -1. Let m(l) = l**3 + 41*l**2 + 147*l - 37. Let y be m(-37). Which is the smallest value? (a) g (b) -3\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, h: 1, w: 2, k: 1, o: 2, d: 7}. What is prob of sequence hodh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2651, 7, -17, -9 in decreasing order.\nAnswer: 2651, 7, -9, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42353624 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 2. Calculate the common denominator of 25\/3 and (j\/(-80))\/((1 + 1)\/12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -7*c**6\/165 + c**5\/22 + 5*c**4\/11 - 20*c**3\/33 - 8*c**2\/11 - 101*c. Find u such that j(u) = 0.\nAnswer: -2, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3 - 5 - 6*c**2 - 4*c - 2*c**3 + 2*c + 0. What is the units digit of n(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = w + 22. Suppose -2692 + 1032 = -4*d - 4*z, 0 = -w*z + 4. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 2 (c) 5\/28 (d) -10\/27 (e) 2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -1\/60*v**6 + 0*v**3 + 0*v + 0 + 0*v**4 - 16*v**2 + 7\/30*v**5. What is the third derivative of z(x) wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 4*t**3 - 6*t**3)*(24 - 5 + 11).\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - s**2 + 41. Let w(m) = -m**2 + 10*m + 24. Let n be w(12). Let y be q(n). Let b = 46 - y. Solve -b*h - 2*c = -17, 2*h = -3*c + 6 + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 take away 14?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 4*o**2 - o + 22. Calculate the smallest common multiple of 56 and w(4).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*a - 2. Suppose 5 = -l - 4*i, 0 = 4*i - 4 + 16. Solve 3*u - a*n = 7*u + 14, -l = -u - 4*n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 127*t**4\/24 - 47*t**3\/6 - 55*t**2 + 80*t. Let b(j) be the first derivative of i(j). Differentiate b(f) with respect to f.\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -121*w + 117*w - z, w + 2*z - 1 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (615\/(-20))\/(43\/((-2752)\/48))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5455*t**2 + 723464*t - 723464*t)*(-3 + 2 + 2) in the form o*t + x*t**2 + m and give x.\nAnswer: -5455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -964?\nAnswer: 3\/482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-11))*o*o**(-7)*o*(o\/(o*o*o**(-4\/9)*o))\/o**(-9))**11 assuming o is positive.\nAnswer: o**(-847\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-11))*l\/l**(-2\/7)*(l*l**(-2\/5))\/l**42)**(-1\/11) assuming l is positive.\nAnswer: l**(1019\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -o - 5*r + 308, r - 1 = 0. Do 565 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 321 = 5*s - t, 0 = 2*s + 5*t - 111. Find the second derivative of -29 + 59 - 29 + 6*a - s*a**3 wrt a.\nAnswer: -378*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 18 = -4*f + 2*z, 4*f - 40 = 2*z. Solve 2*c - b = -5, 4*c = 3*c - 4*b + f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631575 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: Calculate 9478 - 665492824.\nAnswer: -665483346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 22*o**2 + 4*o - 3. Suppose -12 = 5*h - 2*h. Let b be (-4 + h\/8)*(-8)\/18. What are the prime factors of r(b)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-2 - (-4)\/(-8)) + 3). Let q be 0 - (-1 - 141 - w). What is the highest common divisor of q and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 + 261 + 0 + 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -110097 less than 513?\nAnswer: 110610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((429\/52)\/(-11))\/((-10)\/(-24)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5382.3204ns in days?\nAnswer: 0.000000000062295375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -188210, -376420, -564630, -752840?\n\"Answer: -188210*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5 = -5*q, -t - 2*t + 5 = 5*q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 88*w**2 + 3 + 48*w**2.\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - 4*r**3 + r**3 + (0 + 0 - r)*(-2*r**2 + 3*r**2 + r**2) + 7*r**3 + 17*r**3 - 7*r**3)*(3*r + 0*r + 2*r).\nAnswer: 65*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.004 * -7\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 0*f - 55 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven tenths of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 10 = -4*w - 2, 0 = -3*w - 4*f - 5. Calculate the greatest common factor of 9 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-3\/4)\/o*o*o**6*o*o)\/(o**(-9)*o\/((o\/(o**(-19)*o*o))\/o)))**13 assuming o is positive.\nAnswer: o**(1729\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1580 - 1575. Let k(t) be the second derivative of 5*t**3\/6 - 9*t**2\/2 - 2*t. What is the units digit of k(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**2)\/l)\/l)\/((l*l**(2\/7)*l)\/l))\/(l\/l**(-6)*l*l**(5\/3)) assuming l is positive.\nAnswer: l**(-209\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25244351.\nAnswer: 11, 208631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkbkkbbbkbbkbbbbbb. Give prob of sequence bk.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -162, -244, -326, -408?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 10:20 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 14*a**2 - a - 14. Let i be g(-14). Let j = -50 - -247\/5. Let q = -4.3 - -2.3. What is the second smallest value in q, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15678701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/299484 and -121\/10614.\nAnswer: 529787196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 12) to base 15\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 37*y**2 - 2*y - 53. What is n(-37)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + 19 + -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4025 + -1126983\/280. What is the common denominator of l and -58\/2275?\nAnswer: 18200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 = 2*p - 75, -2*p - o = -50. What is the highest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 99590760?\nAnswer: 99590760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1708*k**3 + 624*k**2?\nAnswer: 10248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 - 16 - 17 - 16*a)*(4*a**2 - 3*a**2 + 0*a**2) in the form o*a + s + d*a**2 + f*a**3 and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*u - 2605 + 436 = 129*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k**2 + 24 + 14*k**2 + 21*k - 35*k**2 - 30*k + 9*k.\nAnswer: k**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 365739, 368463, 371187?\nAnswer: 373911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 8*l**2 - 8*l - 2. Let k be m(-7). Solve k = -2*f - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**7\/2520 + z**6\/72 + z**5\/12 - 14*z**2. Let x(f) be the third derivative of n(f). Find the first derivative of x(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20651\/17702 + 2\/26553. Let a(z) be the second derivative of d*z**3 + 1\/12*z**4 + 5\/2*z**2 + 12*z + 0. What is a(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609913078?\nAnswer: 2, 47, 1277, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*i + 4*y - 0, 5*y - 4 = 2*i. Solve i*r - r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 164\/185 - 18\/37. Let -2\/5*x**5 + 4\/5*x**2 - 4\/5*x**4 + v*x + 0*x**3 + 0 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n + 21 = 0. Let r(t) = -t**2 - 3*t - 33. Let k(p) = 2*p**2 + 4*p + 81. Let s(u) = -2*k(u) - 5*r(u). Give s(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + (sqrt(72) - (2*sqrt(72) - sqrt(72)))*1 - sqrt(72))\/(-6*(sqrt(48) + sqrt(3))))\/((sqrt(96)*-2*-3 - sqrt(96))\/(sqrt(40)\/(sqrt(5)*-1))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1021?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*o - 2. Let q be 30 + (1 + -2)*2. Does 19 divide q + -7 - (0 + o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*b + 47*b - 22 = -4*z, -2*z - 7 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 2*g - 1. Let h be i(-2). Let s be 34\/h + (-2)\/9. Let m be (1 + -2)*32\/s. Solve 4*l + 4 = -m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 + 426*k - 207*k - 221*k + 38*k**2 in the form p*k**3 + j*k + d + g*k**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnjpmnmnpn. What is prob of picking 1 n and 1 m?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -4. Let s = c + -2. Suppose q + 0 = s*v + 7, -5*q + 35 = 3*v. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v**3 - 55*v**2 - 255*v - 165. Let b(g) = 145*g + 5*g**2 - 5*g**3 + 81 + 22*g**2 - 10*g - 7*g. Let c(i) = 5*b(i) + 3*w(i). Factor c(n).\nAnswer: 5*(n - 9)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -4. Let w = m - 1. Suppose -v = -w*v - 3. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 5) to base 14.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -12101556.289689?\nAnswer: 12101558.289689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64842096 to the power of 1\/2, to the nearest integer?\nAnswer: 8052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 16800000 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 865*a**2*v + 97*a**2*y**3 + 2*a**2 - 14912*v*y**3 - 48*v*y wrt a?\nAnswer: 1730*a*v + 194*a*y**3 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 7*z - 1. Suppose -6*w = 17 - 41. What is a(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*(sqrt(104) - (sqrt(104)*-3 - sqrt(104)))*4)\/(sqrt(96)\/sqrt(3) - (sqrt(32) - (1*sqrt(32) + sqrt(32)))).\nAnswer: 2 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, -1\/67, 324, 2, -0.2, -3?\nAnswer: 324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 1:09 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 158 - 1?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4)*(-194)\/291?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2473 (base 10) to base 2.\nAnswer: -100110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45536745229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + j - 45. Let z be 5894\/105 + 4\/(-30). Suppose 89 + z = 5*n. Calculate the remainder when n is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83)\/(-581)*(-28)\/46.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6))**(-31)*d**(-20)*d*d**(2\/51)\/d*d assuming d is positive.\nAnswer: d**(8519\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 1651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven halves of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 52128, 4\/3, -2, 4, -19?\nAnswer: 52128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(-1)*(100 + -3). Suppose z - 51 = -5*y. Let c = -346 - y. Round c to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11579079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*w**3 + 298 - 16*w**3 - 298 - 4*w**2 - 25*w wrt w.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240951797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 + (-90)\/(-4). Suppose 5*h = -2*x - 70 + 27, 5*h + f = 3*x. Which is greater: h or -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2100 less than or equal to -3156\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -12. Suppose 4*u = 3*u + 3. Solve -7 + 15*g + 2 + u*g**3 - 1 - 12*g**t = 0 for g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*b - 135, 2*b = -2*z + 15 + 83. Let y = b - 37. Suppose -y = -3*n - 33. Is -9 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, 3.8, 2\/3 in descending order.\nAnswer: 3.8, 1.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -36, 3\/4, 2?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 364397.6 centimeters in nanometers?\nAnswer: 3643976000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3353 + -3381.34. Let k = 28 + s. Let f = k + 0.34013. Round f to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 162815 or 163324?\nAnswer: 162815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*a**2 + 755 - 5925 - 99*a**2.\nAnswer: -5*a**2 - 5170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -61, -142, -255, -400, -577?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -4, 2, -1 in descending order.\nAnswer: 22, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 52049578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-10)*(1 - 5). Suppose -4*q + 13 = 3*k - 0*k, 5*k + 25 = 5*q. Solve -g - 3*u = q, 2*u + d*u = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 18*z**2 + 51*z - 254. Let d be c(18). What is the greatest common divisor of 1245 and d?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1102109870.9999911 + -1102110079. Let y = g - -208. What is y rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -76. Let u = j - -15. Let g = u + 27. Calculate the greatest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56501390 to the nearest 1000000.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 735\/4 - 183. Is j >= -171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2\/4 - 23*a\/4 + 19 = 0.\nAnswer: 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-5)*2*8\/(-48)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 870128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**3 + 15*p**2 + 5*p + 12. Let k(q) = -5*q**3 + 16*q**2 + 6*q + 14. What is -7*f(l) + 6*k(l)?\nAnswer: -2*l**3 - 9*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-162 + 38 - 21)*(-4*m + 3*m - 5*m).\nAnswer: 870*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 141850 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w + 6. Let y be z(6). Sort y, 1, 4.\nAnswer: 1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 - -13596. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 1\/(55574\/84704). Let k = 8\/751 - u. Let t = -58\/185 - k. What is the smallest value in -4, 2, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -8, -6, -2820, 6 in ascending order.\nAnswer: -2820, -8, -6, -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 6*l - 3. Let h be c(-7). Let k = -5 - -10. Calculate the remainder when (-3 + 15)\/h + 21 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/1090 and 55\/436.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2750?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14622 - -614?\nAnswer: -14008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 5*d**2 + 7*d**4 - 3*d + 6*d**3 + 10*d**4 - 23*d**4 + 7*d**2 - 3*d**5 = 0 for d.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) 0 (c) 5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600)\/((sqrt(90) - (-1*sqrt(90) - sqrt(90))) + sqrt(90)))\/((-1*(sqrt(84) - sqrt(84)*-1))\/sqrt(7)))**2.\nAnswer: 5\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 3*i + 2. Let s = 260 + -261. Let q(f) = -1. What is s*m(o) - q(o)?\nAnswer: -2*o**2 - 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 408078 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/4*4\/(-5). Suppose 5*u - l*w = 10, u + w = -w - 10. Solve u = -0*k + k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -31 (b) -5\/26 (c) -0.1 (d) -1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28780 is divided by 515.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 83107.51nm?\nAnswer: 0.00000008310751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1521807718 to the nearest integer?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -4.2. Let z = 18 - 17.9. Suppose 0*k - 14 = -i + 4*k, -3*i = 4*k - 10. Which is the nearest to z? (a) 0.5 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 708 = -4*n + 1146, -5*n - 20 = 0. What are the prime factors of j?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = c - 2*c. Suppose 5*x + 5*d + 0*d = 0, -3*x + 24 = -5*d. Let a be 10\/2 - (c - x). Solve -a*w - 4 = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233 - k**2 + 614 + 300 - 549.\nAnswer: -k**2 + 598","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 10102.94 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l - 3. Let f(a) = -2*a + 1. Let b(g) = -3*f(g) - y(g). Let k(p) = -p - 2 + 9 - 7. Give -2*b(z) + 5*k(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2. Let r be l(-1). What is the remainder when (99 - 1)*(-2)\/(-4) is divided by 18 + (r - 0\/3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + -2*sqrt(104)*-1 - (sqrt(104) - (sqrt(104) - (sqrt(104) + 3*-2*sqrt(104) - sqrt(104))) - sqrt(104)))\/(1*-5*sqrt(392)).\nAnswer: -2*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11114 - -2ab?\nAnswer: 113c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1105 - -2442. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**5\/10 - 81*d**4\/10 + 171*d**3\/10 + 409*d**2\/10 - 249*d\/5 = 0.\nAnswer: -83, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/10)*q*q*q*q*(q\/q**5)\/q)**(-9) assuming q is positive.\nAnswer: q**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-60301)\/(-1081) + 234\/(-6)\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**4\/24 - n**3\/3 + 3*n**2. Let x be m(9). Is -10 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*y - 289, -3*y = 3*o - 7*o + 551. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 12:44 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 63 - 179*b + 66*b + 89*b. Let x be g(21). Suppose x = 19*t - 660 - 2304. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - j - 3 = 0, -11*z - 194521 = -3*j - 194507 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/35 and -79\/154.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 6*y**2 + 16*y + 8 = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158628\/5 or -962?\nAnswer: -158628\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzzl when four letters picked without replacement from zycyyccyclcclzyccc.\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**3 + 9*k**3 + 1 - k**3. Determine a(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -22. Suppose 0 = -i*v + 2*t + 5 - 3, -5*v - 7 = t. Let b(l) = -3*l**3 - 2*l. Let u(z) = z**3. Determine v*b(p) - 4*u(p).\nAnswer: -p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 429 by -33.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6e + -3?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 951781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2163852804 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5949881518.\nAnswer: 2, 7, 101, 4207837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(2\/(-4)*1). Let k(z) = 25*z**2 + z. Let m = 2 + -3. Let c be k(m). What is the highest common factor of c and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uwwwwwuuxuuwxwxuxu?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382 smaller than 2384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9792293351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15607605.92 rounded to the nearest 10000?\nAnswer: -15610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = i - 30*h - 109, 8 = -4*i + 5*h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p + 4. Let c be t(-5). Let n be (-1 - -2)*(c + 6). Solve n = -h + 1 + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18095*h - 18095*h - 2*h**3 - 20*h**2 - 1 + 3 - h**3 - 3 + (0 + 0 + 2*h**2)*(-2*h + 4*h + 0*h).\nAnswer: h**3 - 20*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 1. Let q be i(-2). Suppose -4*b + q*o = -19209, 0 = -4*b - 2*o + 4*o + 19206. What is b rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 11*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*w + 710, 5*w - t - 2*t = 685. Suppose w - 52 = 2*c. What is the greatest common factor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, g: 3, b: 4, p: 3}. Give prob of sequence igb.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*o + 1859 = 41*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 2*a. Let k be h(5). Let x be 1 - k\/6*4. Let i = -6 + x. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4841400 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**3\/3 - 28*s**2 - 423*s + 22090\/3 = 0.\nAnswer: -47, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.031 or 0.58?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -186, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 7*y + 22 + (2 - 2 - 3*y)*(0 - 2 - 2) to p*y + s and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-1)*13093 + 3. Let f be r\/(-8) + (-24)\/(-32). Suppose 2*o = o + f. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1593, -3182, -4771, -6360, -7949, -9538?\n\"Answer: -1589*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -770 or -761?\nAnswer: -770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 84. Let r = j - -41. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -72, 2\/17, -63?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -48*c + 65. Let u be l(3). Let z = 270 + u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5459160 divided by 1819720?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 201. Suppose -5*f + 9 + 16 = 0. Suppose -f*r - 6 = -x. Calculate the greatest common factor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 18147.1\nAnswer: -127029.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113427 is divided by 56710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + -1. Let i = -6 - r. Let j(m) = m**2 - 11*m + 8. List the prime factors of j(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d**2 - d. Let v be f(-1). Let u be (6\/8)\/(-1 + (-10)\/v). Solve 0*s - 6 = -u*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -67*p + 70*p - 15594, -4*p - f + 20791 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41977 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117 - 117. Let s be (-3)\/((-10)\/(180\/27)). Solve s*q = -v - 2, a = 3*q - 2*v - 0*v - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in -3\/13, 4, -9.1, -0.1?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -283070*y - 3963008. Calculate l(-14).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-1))\/(28\/6). Which is the smallest value? (a) -0.5 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17687250*h**4 + 351*h**2 - 7472*h?\nAnswer: -424494000*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5. Suppose -6*a + a = 10, 5*p - 5*a - 25 = q. Solve 5 = -2*x + 5*k, 0 = p*x - 5*k + 3*k + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -86. Let k be (-22)\/q + (0 - (-544)\/6). Let u = 93 - k. Solve -14 = 2*g + u*x, -4*x - x - 21 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 66 = -386*t + 382*t, 3*t - 4*i - 22 = 0. Solve 0 = 445*z - 447*z + t for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 3 + -1 + 5. Suppose 8*a - u*a = -3*f + 12, 0 = -4*a - 5*f + 18. Solve 18 = -g + 5*y, 0*g - a*g = -y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 greater than or equal to -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8628.\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - 222312?\nAnswer: -222223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let z(m) = 3*m - 3*m - 573*m**2 + 491*m**2. Calculate z(u(j)).\nAnswer: -82*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 53\/6 + (-546)\/(-36) + -16. Let k = -33\/16 + 1091\/48. Calculate the common denominator of k and (-1)\/f*(-3 + (-22)\/18).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (51\/85)\/((-3)\/(-60945) - 0) a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 13 = -4*v, -v + 3*m - 2*m - 1 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1826 = -5*k + b, 248 = -3*k + 2*b + 1338. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (44\/(-990))\/(228\/(-5) + -3). Is 1 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*v + 175*v + 149*v)*(-v - v - 5*v).\nAnswer: -2681*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/276 + (1796\/161 - 10).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/24*8\/(-12). What is the closest to 0 in 0.4, n, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45041474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 503 and 6060647?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65638*u = -5*v + 65634*u - 65, -12*v = -3*u - 96 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hehehhhehhhhexxe. What is prob of picking 3 e and 1 x?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.3 - -6.7. Let g = -9.6 + l. Let u be -5 - 1\/(2\/(-4)). Which is the second smallest value? (a) g (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 426*u**3 - 600*u**3 + 0.\nAnswer: -174*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.15, 3, -2\/5, -3\/8, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85201734 divided by 3?\nAnswer: 28400578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -157, 1, 2, -198 in increasing order.\nAnswer: -198, -157, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j - 1 - 12 = 5*h + 10, -79*h - 5*j - 7 = -78*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*s = -90, -c + 5*c + 3*s = -72. Let f be (-4)\/c + (-8055)\/891 + 9. Let k = 11 + -16. What is the closest to 2 in 3, k, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 872\/34599 + 6\/607. Which is bigger: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 6*a**2 + 252*a + 111. Calculate r(-13).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 3. Let b be 1\/(10\/(-4)*(-4)\/(-40)). Put -24, h, b, 1 in decreasing order.\nAnswer: 1, h, b, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 0 - (-9 + -12)) + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3744905*n - 11. Let q(s) = s. Determine m(q(t)).\nAnswer: -3744905*t - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-1)\/(-18))\/((-2)\/6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13699 + -5873. List the prime factors of j.\nAnswer: 2, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-28) + 195\/(-12) + 2. Calculate the remainder when 31 is divided by 22 + (3 - p\/(-2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllelrr. What is prob of sequence err?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -16*r**3 + 138*r**2 + 6*r + 7. Let n(b) = -35*b**3 + 275*b**2 + 13*b + 15. Calculate 6*n(m) - 13*p(m).\nAnswer: -2*m**3 - 144*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-9 + (-200)\/(-52))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30*((-6)\/(-4) + 4 + -5). Let b be (1 - 9\/z)\/(2\/(-80)). Let k = 118 + b. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/55564 and -41\/41673?\nAnswer: 166692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135433 is divided by 22572.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412030782.\nAnswer: 2, 3, 29, 789331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -y + 1059, 5*y + 5265 = 10*y - 5*c. Is 42 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/4, 3, 2\/105, -3, -0.616?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29008 is divided by 14491.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2747341 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 144, 448, 1446, 3540, 7132, 12624, 20418?\n\"Answer: 67*k**3 - 55*k**2 + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13375\/40098 + 3\/13366. Let k = 114 + -796\/7. What is the nearest to z in 13, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7789134 and 4692.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 + -68. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 36 = -18*b, -61*b - 10 = -66*b - m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/(-20) + 54\/(-36). What is the closest to n in -0.3, -18.3, -2\/13, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**4\/6 + q**3\/6 + q**2 - 5*q. Let y(t) = 2*t**2 - t - 2. What is -3*a(r) - 4*y(r)?\nAnswer: -2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002996939996 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18, 597, -7?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.18 and 2.257774.\nAnswer: 0.40639932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/51 less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*i*v*x**2 + 6*i*v - 5*i*x**2 + 11*i + 342*v*x**2 + 17*v*x - 3*v - 3*x**2 - 3*x wrt i?\nAnswer: 11*v*x**2 + 6*v - 5*x**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 2, w: 3, c: 4, s: 3, o: 3}. What is prob of sequence wo?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*l + 16. Let n be (6\/(-15) + l)*5. Let h(o) = o + 7. Let u be h(-7). Sort u, n, 2.\nAnswer: u, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 63750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 + 184 = 3*t. Suppose -241 = -t*x + 2159. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 31. What is the nearest to p in 1\/4, 2\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1fa (base 16) to base 4\nAnswer: 13322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2288 from -3.\nAnswer: 2285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1969240 rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64856 = -4*t + 4*c, -5*t - 5*c = -86355 + 5265. List the prime factors of t.\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**3\/3 - 7*x**2\/2 + 6*x + 39. What is b(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 21775276 = -6464724. Round d to the nearest one hundred thousand.\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3206 is divided by 68.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mml when three letters picked without replacement from mlmmmmlmmmml.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.045*621.\nAnswer: 27.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(88)\/(sqrt(8) - sqrt(200))).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1103010 (base 4) to base 10\nAnswer: -5316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -5\/11332588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**5\/5 - 114*a**4\/5 + 9638*a**3\/5 + 115770*a**2 + 1965420*a + 10789200 = 0?\nAnswer: -81, -20, -15, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -101?\nAnswer: dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -7, -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 23. Suppose 5*n - 1 = 3*v + c, -4*n + 8 = 0. Let m be 45\/10 + -3 - (-2)\/(-4). Sort -16, v, m.\nAnswer: -16, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(-2*z**2 + 5*z**2 - z**2)*((z - z - z)*(-2 + 2 - 2*z) + 10*z**2 - 12*z**2 + 5*z**2).\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c\/c**(-19))))\/(c*(c*c**(-4\/9))\/c*c))\/(c**(1\/2))**(-5\/12))**(-32) assuming c is positive.\nAnswer: c**(-5660\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4614157 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -830 + 871. Suppose 2*k - y - 103 = 4*d, -2*d = 2*k - 156. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/560*-7)\/((-6)\/10)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2)\/r*r)**(-4\/31)*(r**(-17))**(-46) assuming r is positive.\nAnswer: r**(24240\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/30749346 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, j: 1, c: 1, b: 1, i: 1, x: 2}. Give prob of sequence bick.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -179\/4. Let w = 1.2 + -18.6. Let j = 12.4 + w. Put n, 11, j in increasing order.\nAnswer: j, n, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5*k = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)\/sqrt(3))\/sqrt(5) + sqrt(5))**2*1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(605) - 3*sqrt(605)) + (sqrt(90)\/sqrt(2) - sqrt(5)) + -2*sqrt(20) + -3 + -3.\nAnswer: -24*sqrt(5) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1638 - (24\/(-8) - (2 - 10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*m + 6, -4*p = -8*p - 2*m + 4. Let l be p - -2 - 340\/(-10). List the prime factors of (l\/72)\/(1\/278).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 3558*r + 123273. Calculate w(-34).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 811971300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeuesaeusuusasfeasa. Give prob of picking 1 s, 1 f, and 1 e.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y = -12*y - 6. Let b(h) = 24*h**2 + 20*h. Let z(j) = -j**2 + 2*j. Let q(a) = y*b(a) - 10*z(a). Let c(n) = 5*n**2. Calculate q(c(u)).\nAnswer: 850*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 888 = -19*z + 12*z + 9*z. Calculate the highest common divisor of z and 1221.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(1 + (-1 - 1)). Let p be 1*-2 + 12\/5. Let b = -1 + p. What is the closest to a in b, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 - -13 - -1 - 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -1. Let m be 1\/(-4) - (-87)\/z. What is the third derivative of -4*q**2 - m*q**3 - 4*q**5 + 7*q**3 wrt q?\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15491 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a decade in months?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 163, 328, 479, 610, 715, 788, 823, 814?\n\"Answer: -q**3 - q**2 + 175*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 758.\nAnswer: 8338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-5)\/(15\/(-6)). Let u be (-10)\/(-3) + w\/18. Suppose -2*i = -u*y - 50, 2*y + 25 = -2*i + 65. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00047206 to 6 dps.\nAnswer: -0.000472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 790\/316*(1098\/(-5))\/(-3). What is the greatest common divisor of h and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11593513?\nAnswer: 1399, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12032, 23692, 35346, 46994, 58636?\n\"Answer: -3*g**2 + 11669*g + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 1 + 19 = 0, -5*n + 4*p - 41 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1)*z)\/(z**(1\/18)*z))\/(z**(-1\/17)\/z**(1\/5)))**(-1\/9) assuming z is positive.\nAnswer: z**(1219\/13770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q**3 - 19*q**3 - 4*q**2 + 9*q**3 as x*q**2 + c*q**3 + a*q + w and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j = -5*n + 8, 3*j + 5*n = 6. Let u be 7341\/(-1*3\/(-2)). Suppose -2*b + 4*l + 1990 = 0, 0 = -4*b + j*l - 932 + u. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 168 = -4*n, 231 - 341 = -5*n + 5*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**5 + 1488*t**4 - 5926*t**3 + 4432*t**2 + 5928*t - 5920 = 0.\nAnswer: -1, 1, 2, 740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 186567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 10, -600, 1\/6, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -29 + (42 - -7) + -4 + 0\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2154204 by -18412.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76194 = 173*n - 155*n. What are the prime factors of n?\nAnswer: 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 112*r - 456. What is n(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*o)*((1 - 3 - 3)*(2*o**2 - o**2 - 3*o**2) + 24*o**2 + 3828*o - 3828*o).\nAnswer: 68*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**2 + 3*x + 3. Let p(n) be the third derivative of n**5\/20 - n**4\/6 - 2*n**3\/3 + 16*n**2 + 2. Calculate -4*k(r) - 3*p(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357802?\nAnswer: 2, 678901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -639 - 9. Let f(t) = -j + t + 81 - 3*t. Let i(s) = 12*s**2 - 2. Determine f(i(w)).\nAnswer: -24*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 226809 = -3*a - 4*a. List the prime factors of a.\nAnswer: 11, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.587 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -406879\/9 > -45210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 129 - 63. Let z = 97 - y. Calculate the highest common factor of z and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**2 + 129*w - 13. Let y be z(-22). What is the highest common factor of y and 3392?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f - 5*f + 5*f)*(3*f + 3*f - 4*f)*(-1 + f - 3*f + f).\nAnswer: -24*f**3 - 24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12159 smaller than 12159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83665 or 48?\nAnswer: -83665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1484*3\nAnswer: 4452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + 5 - (1 + -1). Let x be -3*(-3 - 4\/d). Let k(a) = 3*a - a**x - a - 23 + 22 + 3*a**2. What is k(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 2:47 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2. Let z(f) = 2*f + 40. Let k be z(-18). Let w(i) = -i. Determine k*q(o) + w(o).\nAnswer: 4*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o - 20 = 0. Suppose 3*r - 3*k + 0*k + 240 = 0, -4*r - o*k = 288. Let u = -46 - r. Calculate the remainder when u is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 13 = 1. Suppose 26 = 2*k + 4*h, 4*k + c*h - h - 27 = 0. Suppose -5*i - 5*f = -2*i - 41, 3*i - 51 = -k*f. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1755380043463 - 1755380040082.999997142. Let j = w + -3380. What is j rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3*sqrt(1377) + 1)**2 + -4)*-2.\nAnswer: -24780 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 - 0.57. Let m = t - 0.3. Let o = -10550 + 10549. What is the nearest to m in 0, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 224.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 18*v + 124. Let h be y(-2). Does h = 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 276 + -3038\/11. What is the biggest value in u, -0.4, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*c = 317*c - 26 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 10*d**3 + 5*d**2 - 13*d + 8. Calculate n(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 7*x**2 - x - 3. Let u(o) = o**2 - o + 1. Let g(l) = -3*u(l) + z(l). Let d be g(-3). Sort d, 0, 1 in ascending order.\nAnswer: d, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2537*b + 10. Is o(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39110 = 5*d - 4*c, c + 42 = 42. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1.1. Let r = 55 + -51. What is the closest to h in -4, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 509 + -510.1. Put 0.2, -0.4, n, -2\/15 in decreasing order.\nAnswer: 0.2, -2\/15, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*((u\/u**9*u*u*u)\/u)\/u)\/(u\/(u\/(u*u**1\/u))*u))**50 assuming u is positive.\nAnswer: u**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5*x**3 - 7 + 7 + 47*x.\nAnswer: 5*x**3 + 47*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from {n: 3, r: 5, j: 9, k: 2}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-39\/7))**6*d**(-5\/4)*d**(1\/9)*d assuming d is positive.\nAnswer: d**(-6947\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 11. Suppose -b*c = c. Suppose c*f = f. Solve 4*s = -s + z - 1, f = 2*s + z + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**5\/20 - 3*s**4\/16 + s**3\/12 + 3*s**2\/8 - s\/2 - 51. Factor h(u).\nAnswer: (u - 2)*(u - 1)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 - 6*p**2 - 11*p - 4. What is c(-3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 45. Let r = z + -19. Solve r = -t + 1 - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6160 and 48.\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-102)\/9 - 1. Let x be 8 - (2 - (1 + -2)). Let b = 8 - x. Calculate the greatest common factor of b and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(6\/4) + 1. Let w(m) = 13*m - 21*m + 5*m + 4. What is w(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 9*i**2 + 7*i + 2. Let q(m) = m**3 + 5*m**2 - 4*m - 1. Let p(s) = 4*c(s) + 7*q(s). Let a be p(2). Which is smaller: a or -10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/2))**(18\/7)*(w\/(w\/w**5*w))\/(w*w**7) assuming w is positive.\nAnswer: w**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -1968162.1.\nAnswer: -1968161.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(3*sqrt(2)) + (sqrt(297)*-3)\/sqrt(9))\/(((sqrt(54)*1)\/sqrt(9))\/(2*sqrt(200) + sqrt(200))).\nAnswer: -80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*t**3*w**2 + b**3*t**2*w - 9*b**3*t - 2*b**2*t*w**2 - 593*b**2*w**2 + 6715489*t**3*w**2 wrt t?\nAnswer: -12*b**3*w**2 + 40292934*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -46, 2, -1 in descending order.\nAnswer: 2, 0, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -4)\/(1\/(-23)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - -2)*(-154)\/924?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 3, -26, -0.6, 0, -2\/9?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 15. Let m be f(0). Let o be 4\/8*m\/10. Sort -0.05, 1, o in descending order.\nAnswer: 1, o, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6e + -238973?\nAnswer: -238904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 213136 - 213141 + 7*x**2 - 6*x**2. Calculate u(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 41*a**8\/8 - 101*a**4\/12 + 112*a - 3. Find the third derivative of s(d) wrt d.\nAnswer: 34440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2182 - 2158. What is the smallest common multiple of 110 and b?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*v = 12, 6*y - y + 52 = 3*v. Let d(j) = 2*j. Let r(s) = 2*s + 4*s - 3*s. Calculate y*d(x) + 5*r(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 7*p - 11*p)*(-4*p**2 + 3*p**2 + 4*p**2 + (-p + 2*p - 2*p)*(-4 + 2*p + 4) + 218*p**2 + 6156*p - 6156*p).\nAnswer: -2628*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*j - 318, -6*w = -3*w - 4*j - 222. Let s = -311\/4 + w. Let p = -0.8 + -0.2. What is the second biggest value in s, p, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -83*u + 83. Let j(i) be the second derivative of 0*i**2 + 0 - 3\/2*i**u + 20*i. Let g(p) = -p**2. Calculate j(g(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1083)\/(-114) - (-14)\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 22 + 23)*(-2*g - 2*g + 6*g) + (1 - 2 - 1)*(-3 + 3 + g) - 5*g + 5 - 5 to m + x*g and give x.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1042 - -159.1942. What is f rounded to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k**3 + 11*k - 32*k + 21*k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 44. Suppose -5*o = -5*c - 6*o + 396, -4*c - f*o + 320 = 0. What are the prime factors of c?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**20\/b**27)\/(b**(3\/13)\/b**19) assuming b is positive.\nAnswer: b**(153\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 54, 3, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 11*s**2 - s + 10. Let k be y(11). Let b be (k - 2) + -93 - 0. Let n be 12\/15 - b\/30. Solve u + 0 - n = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/650430 and 13\/1276?\nAnswer: 37724940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5333 - 3873. What are the prime factors of x?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13756, -92, -10, 1, -5 in decreasing order.\nAnswer: 3, 1, -5, -10, -92, -13756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 3*a - 9*b - 8, -b = 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 4*j)*(-2 + 2 - 2*j)*(-1 + 1 + 5*j) to the form c*j + n + f*j**3 + p*j**2 and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-33 - -5) - -10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1228726010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 0 + 1\/60*v**6 + 1\/2*v**2 + 1\/40*v**5 - 1\/8*v**4 + 2*v - 1\/12*v**3. What is d in t(d) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72890871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/28 + (-3)\/7. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = f + 3*v, -2*v = -5*f - 94 + 124 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31121959?\nAnswer: 11, 29, 97561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 978 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 + 18938*l + 227272\/3.\nAnswer: -(l - 56818)*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + t**2 + t - 1. Let y(f) = f**3 + f**2 - 9*f - 1. Give -s(x) + y(x).\nAnswer: 2*x**3 - 10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 996551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 10*g**2 - 69*g - 26. Let k be i(11). What is the highest common factor of 23 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 12*i**2 + 9. Calculate o(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20659 + 6.\nAnswer: 20665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2764033 = -8*o - 7347967. What is o rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/30559026 and -89\/486.\nAnswer: 2475281106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5876262?\nAnswer: 2, 3, 7, 149, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 + 2*s**2 + 3*s**2 + (-2*s + 2*s + 2*s)*(10*s - 6*s - 16*s) as u + m*s**2 + h*s and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((3 - 742\/245)\/(-87))\/((-1)\/(-2)). Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1009 + -1003. Let z(x) = -8*x**2 + 6. Let b(p) = -2 + 5 - 4. Determine u*b(n) + z(n).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28443809?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m - 4*m + 1568. Suppose -3*d = 112 - m. Let j be d - (-2 + -1) - -1. Solve -j*q = z + 4, 0 = -2*z + 4*z + 2*q + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 21. Let i(o) = o**2 + 3*o + 20. What is -3*g(c) - 2*i(c)?\nAnswer: -2*c**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + x = -2*x + 2, -20 = -5*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*x**3 - x**3 + 3*x**3 + (1 + x**2 - 1)*(-x + 1 - 1) - x**3 + 2*x - 2*x + x**2 + 10*x**3 - x**2 to the form z + d*x**3 + c*x**2 + m*x and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/25)\/(6\/60).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1578 = 5*p, 4*i + 16 = -0*i. What is the least common multiple of 371 and p?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 5 + 5)*(14*s - 3*s + 6*s).\nAnswer: -51*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 9\/6)\/(3 + 8\/(-4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*s - 91*s + r = 10, 43 = -5*s - 2*r for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = 19*p - 170. Solve -21 = 8*s - p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560 by -70.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avnae. Give prob of sequence nv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -691*2\/(-26) + 16\/(-104). Let k = m - 37. What is the greatest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 5*a. Let u(q) = -q**2 + 3*q. Let j = 69 + -79. Let o(b) = j*u(b) + 4*m(b). What is the second derivative of o(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - q - 273 + 275 = 0, -5*q = -2*z - 10. Solve -4*s + 5*s - 5*s = z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 13*o + 19. Let p be n(11). Let h(a) = -3*a**2 - 3*a - 3. Give h(p).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 + 8*f - 6. Let q be w(4). Let h(o) = -o**3 + 4*o**2 + 3*o - 30. Does 35 divide h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 5*d - 2*r + 382004, 5*d - 1910008 = -4*r. Round d to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147307.\nAnswer: 19, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -4) + -2 - -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-2)*1\/(-5). Let z = 0.13 + -0.13. Which is the closest to z? (a) 1\/6 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3420, 3422, 3424, 3426, 3428, 3430?\nAnswer: 3432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7847, 7849, 7859, 7883, 7927, 7997, 8099, 8239?\nAnswer: 8423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6983616 and 3468.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -s - s. Suppose g - 7 = s. Is 0\/(-1) + 6 + g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) - (sqrt(1573) + 2 + -4)**2 - (3 + sqrt(1573)*-2) - (((sqrt(325) + -2)*6)**2 + -3).\nAnswer: -13421 + 797*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3659, 3660, 3663, 3668, 3675, 3684, 3695?\n\"Answer: b**2 - 2*b + 3660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 15. Sort 5, -4, j in descending order.\nAnswer: 5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4 + 2*v**3 - 318*v**2 + 622*v - 308 = 0. Calculate v.\nAnswer: -14, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 194613943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a gram in milligrams?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {t: 1, p: 14}.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = x - 4*i, 6*x + 3*i = x + 343. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(468))**2*5 + (5 + (-1 + sqrt(468) - sqrt(468)))**2 + (4 + (1 + sqrt(468) - sqrt(468)))**2.\nAnswer: -11684 - 300*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*f + 3*f. Let y = 12 + f. Let q(d) = d**3 + d**2 - d + 2. What is the smallest common multiple of y and q(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, 24, 29, 4, -69, -208?\n\"Answer: -3*h**3 + 12*h**2 + 2*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntxxwxntwnwxwwtywhnn. What is prob of sequence yhx?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(3\/10))**(2\/45)\/((u**14*u)\/(u\/u**(-9))))**(-2\/37) assuming u is positive.\nAnswer: u**(2224\/8325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q + 2*q + 2*q)*(-2*q + q + 2*q) + 0*q**2 + 6*q**2 + 10*q**2 + 0*q**2 + q**2 + q**2)*(-1 - 1 + 0).\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from buuxubzxxx. What is prob of sequence bzbz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -82435 - 2550?\nAnswer: -84985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 1, j: 2}. Give prob of picking 1 k and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 9311.\nAnswer: 5\/9311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 653 = -365. Let z = 1048 + c. Let j = -26 - -37. What is the remainder when z is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 122, 3, -6, -76, 0, 5 in decreasing order.\nAnswer: 122, 5, 3, 0, -5, -6, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01786443 rounded to four decimal places?\nAnswer: 0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4598*l + 4470. Calculate d(1).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2641397 milligrams to grams.\nAnswer: 0.0002641397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438309249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -10, 37348, 0, -4 in descending order.\nAnswer: 37348, 5, 0, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1245, 2436, 3617, 4782, 5925, 7040, 8121?\nAnswer: 9162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -70. Let b be 2 + h\/28 + 0. Factor 4\/7 + 2\/7*l**2 - b*l.\nAnswer: 2*(l - 2)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/385 and 107\/375375.\nAnswer: 375375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - a**2 + (-4 + a + 4)*(-62*a + 26*a - 33*a)*(-5 + 1 + 2).\nAnswer: 137*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 25 = 5*w, -4*w - 6597 = 6*y - 6639 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 18. Suppose k - 5*g - 13 = 0, 0*g = 3*k - g - z. Suppose -k*t = -174 - 81. What are the prime factors of t?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 6*t**2 - 9*t**2 - 3*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 1, x: 6, d: 2, k: 2}. Give prob of sequence lxl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/1992806 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -92, 4, -5, 5, -6, 9 in increasing order.\nAnswer: -92, -6, -5, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3815.\nAnswer: 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + t + 48. Let k be p(0). Let y = 283 + -240. Suppose 2*b - y - 53 = 0. Calculate the highest common divisor of b and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + 8)*-3*-2. Suppose -19 = -2*i - 5. Which is greater: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -23 + (6 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 716.2 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 7:55 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43389 is divided by 1612?\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*j - 1000 = 0, m - 2*m = 5*j - 960. Suppose 2*w - m = -5*z, 0 = 5*w - 0*w + 3*z - 2415. Is w a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 4*v = 2*k + 212, -2*k - v = -103. Calculate the highest common divisor of k and 468.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, a: 1, g: 1}. What is prob of picking 1 g and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 265\/212*12\/(-10)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 + 0 + 0 - d.\nAnswer: 4*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 4*t + 3. Let v(c) = -c**3 + 5*c**2 + 2*c - 1. Calculate the remainder when v(5) is divided by o(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*i - 9336, -3*i + 5*i - 3730 = -4*r. Suppose -a - 2*a = 8901. Let q = i + a. What is q rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**2))\/h*h**(2\/17)*h**3\/(h**(-1\/16)\/h) assuming h is positive.\nAnswer: h**(321\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -c3 (base 16) to base 3\nAnswer: -21020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 188?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 2*y**2 - 6*y**2)*(2*y + 3*y - 3*y)*(4*y - 5*y + 3*y)*(-210*y + 140*y + 128*y).\nAnswer: -464*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 22*q**2 - 2*q + 1. Calculate the remainder when f(1) is divided by (11 - 5) + -1 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 1\/540*o**6 + 0*o**4 + 0*o**3 + 0*o + 3*o**2 + 1\/135*o**5 + 0. Determine j so that i(j) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -622, -1236, -1850, -2464, -3078?\nAnswer: -3692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 32.6483136 nanoseconds?\nAnswer: 0.000000000000053982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 82, 73, 4.\nAnswer: -4, 4, 73, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2254*t + 1759*t - 11893*t - 7396*t - 2666*t - 7068*t)*(-3 - 4 + 5).\nAnswer: 50020*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1706 (b) 2 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 41422 and 41422 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5296)\/1986)\/((4\/2)\/12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7605)\/135 - -63)\/(2\/(-12)*-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 4 - 4)*(0*a - 3*a + 5*a)*(-6 + 6 - 3*a + (3 - 1 + 0)*(2*a - 4*a - 10*a) - 4 + 2*a + 4).\nAnswer: -150*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -293*r - 1578. Calculate p(-8).\nAnswer: 766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**26\/i**15)\/(i*i*i**11\/i)**(-30) assuming i is positive.\nAnswer: i**371","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2\/11, -221?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -324, -373, -446, -555, -712, -929, -1218, -1591?\n\"Answer: -2*o**3 - 35*o - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36322 (base 10) in base 12?\nAnswer: -1902a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27523788 by -27523788.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 - -4.15. Let r = 35 - 13. Let c = r - 32. What is the second biggest value in -0.4, c, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + 1. Let j(z) = 11*z + 131. Let t be j(-7). Let i = t + d. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431460 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29041, -29015, -28981, -28939, -28889?\n\"Answer: 4*g**2 + 14*g - 29059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5745, 5614, 5489, 5376, 5281, 5210?\nAnswer: 5169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/28)\/((8\/36)\/((-32)\/(-168)))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j - 505 + 31 - 3004 = 131*j for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17032181 - 17032181.75735278. Let r = p - 5.44264212. Let q = r - -6.2. Round q to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -2, -1\/2, 2\/9, 11.48, 1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17401 is divided by 84.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z + 13. Let w(t) = t - 3. Suppose 0 = x + 4*x - 25. Suppose -4*p + x = p. Let u(f) = 26*f. Let i be u(p). Calculate i*w(l) + 6*a(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 - (4 + 257\/(-4)). Let l = s + -27. Let t = l + -28. Solve y + 2*m - t = 0, m = 3*y + 4 + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - -5)\/4*3\/(-24). Sort l, 1\/8, -0.5, -1\/7 in increasing order.\nAnswer: -0.5, l, -1\/7, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 15*k + 16. Let t be h(-16). Solve t = -2*j + 2*g, 0*j - g = -3*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10318929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**3\/6 + 7*i**2 + 5*i. Let h be n(-12). Solve 3*x = -l + 2, l - 2*x + 0 = h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(2*1\/(-8)). Let k = 24 + -15. Let y(d) = 13*d**2 + 9*d. Let f(l) = 6*l**2 + 4*l. What is b*y(j) + k*f(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, e: 4, p: 2}. Give prob of picking 1 p and 1 e.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074805 times 3654?\nAnswer: 273.33747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -222*x - 198. Suppose 12*g - 137 - 187 = 0. Let j(r) = -17*r - 15. Let w(f) = g*j(f) - 2*i(f). What is the derivative of w(y) wrt y?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32536 + -32537. Let r = -13 + 9. What is the nearest to m in r, -0.5, 0.04?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 1. Let b be k(-1). Suppose -4*m + 4 = -b. Which is greater: m or -1.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -2)\/((-3)\/15). Let y(q) = -q**2 + 8*q - 7. What is y(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**2*g)\/g*g)**(-32))**(3\/4) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 639*m + 50. Let q(a) = -3*a. Give s(q(g)).\nAnswer: -18*g**2 - 1917*g + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8470, -17891, -27312, -36733?\nAnswer: -46154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**3 - 736*k**2 + 1707036*k - 5114376 = 0. Calculate k.\nAnswer: -753, 3, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 159.34 * -20693\nAnswer: -3297222.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*z + 2015 = 58*z. Calculate the greatest common divisor of z and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12867 = 307*c + 719*c + 123675 for c.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**3 - 46*h**2 - 26*h + 8. What is m(12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27242 rounded to 2 dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 7*x**2 - 5*x - 6. Let o be t(-3). Let r = -34.8 - 151.2. Let i = -185 - r. Which is the nearest to i? (a) -1\/3 (b) -4\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2205) + 3*sqrt(2205))\/(sqrt(1089) + sqrt(1089) + (sqrt(1089) - (sqrt(1089) - (sqrt(1089) + -4*sqrt(1089))) - sqrt(1089)))*1 + 2.\nAnswer: -3 - 14*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 63.\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c**2 + 14*c - 15. Determine m(-7).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -104*w**2 + 14*w - 33. Let s(t) = -37*t**2 + 5*t - 12. Let i(k) = -17*s(k) + 6*z(k). Let x(h) = -11*h**2 + 2*h - 13. What is 7*i(c) + 3*x(c)?\nAnswer: 2*c**2 - c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.5, -3.4, 4, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4932 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 10*p = 0. Let h(f) be the third derivative of p - 1\/40*f**6 + 0*f**3 + 0*f - 1\/24*f**4 + f**2 + 0*f**5. Find the second derivative of h(q) wrt q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(sqrt(245)*2 + -5 - (-1 + -3*sqrt(245)))*4*6)**2.\nAnswer: -2560320*sqrt(5) + 56593161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 4*w - 0*w - 96, -3*p + 5*w + 55 = 0. Let t be (-8)\/p + (-27)\/(-5). Suppose 2 + 8 = 5*z. Solve 4*x - 53 = t*a - 18, -4*x - z*a + 14 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1390\/3 - -477. Calculate the common denominator of -15\/11 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.06, 3, 1 in decreasing order.\nAnswer: 3, 1, 0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 + 2*t**3 + 3 - 4*t - 4*t**4 + 6*t - t + 5*t**4 in the form d + y*t**3 + f*t**2 + v*t + z*t**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -998.\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12980709\/460 + -28219. What is the common denominator of 69\/20 and j?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -2*z - 4*j, 7*j = -2*z + 2*j + 89. Let w be 8\/(2\/1)*z\/(-2). Let d = 451\/7 + w. Which is bigger: 2\/9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*9\/18*-1*15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22\/13*c**4 - 6\/13*c**5 + 4\/13*c + 0 - 2\/13*c**2 - 22\/13*c**3 = 0. Calculate c.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, e: 1, o: 2}. What is prob of sequence oeol?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*16\/320 - 9\/60. Let y = 1421\/5 - 283. What is the biggest value in r, -16, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 8. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302 + -1 + (2 + -9 - -7)?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3367 and 1079.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1032 and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -0.04, -16, 4 in descending order.\nAnswer: 4, -0.04, -16, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 83110710 minus -0.4?\nAnswer: 83110710.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/204*18*((-228)\/(-9) - 0). Which is the second biggest value? (a) 1\/8 (b) -1 (c) z (d) -0.06 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 941853?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*c. Let g be (-4 - 4)\/(1*c\/(-28)). What are the prime factors of 4 - (-2 - (g - 3))?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1483 + -1378. Calculate the remainder when 413 is divided by x.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*-3*6\/(-54). Solve -8 = -3*u - c + 5, 3*u - 19 = a*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (243\/2484)\/(9\/(-24)).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 7*i - 3. Let c be r(-9). Let t = -220 + 230. Calculate the highest common divisor of c and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1470180*f**3 - 7*f**2 - 46003*f + 676 wrt f.\nAnswer: -8821080*f - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6311, 6661, 7051, 7487, 7975, 8521, 9131, 9811?\n\"Answer: y**3 + 14*y**2 + 301*y + 5995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 16 - 439 = 0. Suppose -12*i + b = i. Solve -l - 4*l = -4*f - 9, 0 = 3*f + i*l - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-1)*2830\/(-14150)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -385.009 - -36.\nAnswer: -349.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 6*v = -1824. Let h = v - -499. What are the prime factors of h?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, q: 4, e: 3, z: 4, k: 3}. Give prob of sequence zh.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -31*x**3 + 3*x**2 - 3*x. Suppose 32*c + 52 = 52*c - 28. Let k(n) = 30*n**3 - 4*n**2 + 4*n. Give c*f(i) + 3*k(i).\nAnswer: -34*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 938 - 920 = -5*b - 4*f, 2*b + 2*f = -12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02743 + -0.174.\nAnswer: -0.20143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4421 is divided by ((1442\/9 - 2) + (-106)\/477)\/1.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -15*t**3 - 13*t**2 - 34*t - 1. Calculate a(-3).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 6*x + 6. Let r(g) = g**2 - 3*g + 1. Let c be r(x). Suppose k + c = 6. Solve s + k*z + 20 = 5, 5*s = -3*z - 31 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81*(-18)\/(2484\/(-23))*(-132)\/18.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3370453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -59773 equal to -59773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 d, and 1 n when four letters picked without replacement from {k: 2, f: 1, d: 1, n: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87)\/(-29)*2*(-1)\/(-27)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**2*p - 59*c**2 + 1670*c*p**2 - 132*p**2 + p - 3175 wrt c.\nAnswer: 2*c*p - 118*c + 1670*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9565 + 9584. Solve 111 = z*g + 18*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*o - 27. Suppose a = 2*n + 7, o*a = 4*n - 2*n + 29. Let h = 7 + a. Calculate the remainder when 52 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 208 - 163. Let t(k) = 6*k - 44. Let h be t(w). Calculate the highest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -7. Let g be (3\/b)\/1*-3. What is the least common multiple of 7 and 3*(2 + 0 + g)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k**4 - 24303*k**3 - 3*k**2 + 4*k + 5457236 wrt k?\nAnswer: 8*k**3 - 72909*k**2 - 6*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*q + 3*c - 4, 3*q - 5 = -4*c. Let w(r) = -2*r - 2. Let y(k) = k. Let m(j) = w(j) + 4*y(j). Determine m(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16000, -32018, -48036, -64054, -80072, -96090?\nAnswer: -112108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3. Let j = v - -0.5. Let h = j - 0. Which is the third biggest value? (a) 0.3 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*y - 16 = -16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2273*g**3 + 4439*g**3 - 1967*g**3.\nAnswer: 4745*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 8*w - 4. Suppose -p = 5*y - 0*y + 16, 0 = -4*p - 5*y + 11. Let j = p + -16. Let v be d(j). Solve 4*h + g - 7 = -0*g, -3*g = v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-389852)\/(-5174))\/(-1) - -2. Let l = y - 344\/199. Let j = -75 - l. Are j and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3182231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278322 divided by 46387.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -16, 5, -1, -6 in increasing order.\nAnswer: -16, -6, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1231 - k - 1231. Suppose -5*z + 20 = -5*v, 3*v + 9 = -z + 1. Calculate the remainder when 7 is divided by y(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5573 divide 1550586936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28173 is divided by 542?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 417cd (base 14) to base 10\nAnswer: 157961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 11.2, -1, 31, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.02605150654 - 2355.1\nAnswer: -2355.12605150654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -240 + 387. Calculate the lowest common multiple of s and 30.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2*(3 - 2)). Suppose -3*q = 32 - 2. Let k be (-104)\/q + (-2)\/5. Solve -3*g + 4*m - 5 = b, -g - m - k = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqfffqcgqqnz. What is prob of picking 1 q and 1 n?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*o - 3*h, 4*o = 5*h - 32 + 84. Solve 9*v - 11*v = 2, -l = -3*v - o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3160564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.583437 years to centuries.\nAnswer: 0.00583437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703490 is divided by 685?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66*((-2)\/(-10)*(-10)\/(-12))\/(3124\/(-9372)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k. Let y be 2\/20*40\/48. Let g(q) be the third derivative of 0*q + 0*q**3 + 0 - q**2 + y*q**4. Determine g(l(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5175117 and 252?\nAnswer: 144903276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3919.008 micrometers?\nAnswer: 0.000003919008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -333*z**5 - 533*z**5 - 22*z + 49*z - 27*z + 923*z**2 wrt z.\nAnswer: -51960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(475) - sqrt(19))**2 - 2*sqrt(304).\nAnswer: -8*sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7\/(t\/((t**9\/t)\/t))*((t**0\/t)\/t)\/t*t**(-3\/4) assuming t is positive.\nAnswer: t**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41592129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 0.5 (b) -0.15 (c) 4 (d) -33.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 3*o**2 + 3*o + 4. Let b be v(2). Suppose -2*l + 200 = -b*l. Suppose p - 7*p = 300. Is l greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1690704 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwm when three letters picked without replacement from {m: 2, w: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (126 - (-4)\/(-2)) + -3. Let a = m - 487\/4. What is the nearest to -1 in 2, a, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194981.512 + 0.2?\nAnswer: -194981.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/38, 3\/4.\nAnswer: -5, -3\/38, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -518, -1718, -4238, -8738, -15878, -26318?\n\"Answer: -110*x**3 - 430*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19373*b**2 + 19379*b**2 - 58090*b**2 + 19369*b**2.\nAnswer: 31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -13. Let x = -34 - -39. Solve -x*c + 4 + b = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -172 (base 11) to base 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 3:49 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*r + 20 = 0, y = -3*r + 7 - 11. Which is the biggest value? (a) y (b) 1 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u = 110. What is the remainder when u is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56.65 + 0.45. Let t = p + -57. Is 0.77 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14069 in 0.4, 0.1, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 17 = -2*j + 3*q, -3*q + 23 = -4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j. Suppose 8*r = -0*r + 5176. Let w(v) = -r*v**2 + 2 + 615*v**2 - 2. Calculate y(w(t)).\nAnswer: 64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**7\/840 + l**6\/90 + 13*l**5\/120 - l**4\/6 - 61*l**3\/3 + 26*l**2. Let i(a) be the first derivative of m(a). Determine i(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116423 divided by 21.\nAnswer: -116423\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (2 - (-7)\/6). Which is the closest to -1? (a) -4 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2 - (-3 - (-2 + 2))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 913246029 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 20 + (-7 - 4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 10\/3*w**3 - 4*w + 17 + 1\/2*w**2. Is g(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 0.15 (b) -19 (c) -78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -13*h**3\/2 + 116*h**2 - 192*h. Let k be j(-53). Round k to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3011*j = 2991*j - 680 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o + 5. Let y(q) = -29*q - 16. Let h(f) = -7*f - 4. Let g(v) = -9*h(v) + 2*y(v). Let p(u) = 5*g(u) - 4*l(u). Let k(s) = 3*s**2. Give k(p(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -12*y + 3. Determine k(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/7 - 24086*n**2\/7 + 48166*n\/7 - 24082\/7.\nAnswer: 2*(n - 12041)*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3718*o**4\/9 - 1171168*o**3\/9 - 13663580*o**2 - 478220400*o + 257250 = 0?\nAnswer: -105, 1\/1859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 6:31 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and -125?\nAnswer: -3500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.4 + 7.3. Suppose 2*j = j - 2. Let q be (-5)\/3*(-4)\/10. Which is the closest to 0.2? (a) y (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9329346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -317.1 and 3.\nAnswer: -951.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/991178?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3, -0.05, -0.3.\nAnswer: -3, -2\/3, -0.3, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 16) in base 14?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 10*r + 15. Let d be n(6). Let j(c) = c**3 + 8*c**2 - 10*c - 8. Calculate j(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 202*g - 201*g + 50 - 55. Let y(p) be the third derivative of -p**4\/4 + 29*p**2. What is y(x(f))?\nAnswer: -6*f + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*u + 20, -3*d + u = 5 - 1. Suppose 0 = -4*f - 3*o + 6, -2*f + d*f + 10 = -2*o. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((20\/(-2))\/(-2) + -1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -9.7875?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1682 and 38222?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 18, n: 1}. Give prob of picking 1 x and 1 n.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(-38*x**3 - 29*x**3 + 5*x**3) - x**3 - x**3 + 3*x**3 in the form l*x**2 + b*x + r + z*x**3 and give z.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2576)\/(-1932))\/((-20)\/(-93)))\/((-2)\/(-20))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1894, 2053, 2286, 2569, 2878?\nAnswer: 3189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -3*f**5\/40 + 171*f**4\/32 + 45*f**3\/2 + 603. Solve w(g) = 0.\nAnswer: -3, 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26221 - -9190. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2. Let j(s) be the second derivative of -193*s**3\/3 + 2*s - 273. What is j(u(n))?\nAnswer: 386*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 2*z + 2*z + (-3 + 1 + 3)*(3*z**2 - 2*z**2 + 3 + 0*z**2))*(-2 - 7*z**2 - 17*z + 17*z).\nAnswer: 7*z**4 - 19*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17675262*c**2 + 23*c**4 - 17675262*c**2 - 3)*(-3*c - 2 + 2 + (0*c - c + 3*c)*(-3 + 0 + 1)).\nAnswer: -161*c**5 + 21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -23*z**3 - 70*z**2 + 74*z - 7. Let p(f) = -12*f**3 - 35*f**2 + 36*f - 3. Let a(c) = -3*m(c) + 7*p(c). Factor a(j).\nAnswer: -5*j*(j + 3)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.25, 0.12, -5, 1\/24, 3\/8?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 14*b**2 - 24*b - 11. Is 21 a factor of y(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6149003657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4*j - 4*a = -30, j - 5 = -2*a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222 and 2109.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/12 and 65\/258.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + -1)*6 + (sqrt(152)\/(sqrt(32)\/sqrt(4)) - sqrt(19))*5)**2.\nAnswer: -864*sqrt(19) + 98532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d*h**2 + 7484*d*h + 589734745*d + 706*h wrt h.\nAnswer: -10*d*h + 7484*d + 706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, c: 1, q: 11}. Give prob of picking 1 c and 2 q.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96922 - 55791. List the prime factors of l.\nAnswer: 41131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-7))\/(404\/2828).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*sqrt(343) - (-5 + sqrt(343) + -1))**2*-6 + 0.\nAnswer: -74382 + 3528*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1294*v - 5195. Determine u(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/4, -0.09, 5.\nAnswer: -0.5, -1\/4, -0.09, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -27. Suppose -l = -4*r + 12, 3*r = -3*l + l - 2. Suppose -r*p + n + 12 = 0, 2*p + p - 29 = -4*n. Solve q*m + 3*j - 11 = -0*m, -3*j + p = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -71*b**2 + 2*b + 6. Let c(f) = -150*f**2 + 5*f + 14. What is -2*c(y) + 5*q(y)?\nAnswer: -55*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 15699582 in increasing order.\nAnswer: 1, 4, 15699582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1364044971 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -15*p + 5 - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281.5718 millilitres to litres.\nAnswer: 0.2815718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + 6 + -3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-5*(-34)\/(-68)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/((-105)\/(-10)))\/(5\/((-225)\/(-6))). Let v(d) = 2*d + 7. Let p(t) = -6*t - 20. What is j*p(a) + 14*v(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3 - 30*g**2 + 732*g + 4160 = 0.\nAnswer: -26, -5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 0) + (-32)\/10. Suppose 10*x - 2*x - 8 = 0. Which is smaller: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-272)\/(-24) + (-19 - -7). Let s = 0.004 - 0.05. What is the closest to 1 in s, -0.5, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 - -12. Let v = -126.0063 + h. What is v rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - g = 7*s + 12, -g = 2*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159201 plus -1368?\nAnswer: 157833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-5)))\/(m\/(m\/(m\/m**3))))**(-50)\/((m**1*m)\/(m\/(m\/(m*m\/m**1)))*m**5\/(m**(3\/2)*m)) assuming m is positive.\nAnswer: m**(-707\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Put 31726, 5, -2 in descending order.\nAnswer: 31726, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 - 26*o - 369. What is the tens digit of d(27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + r + 3*r)*(-1 + 1 + 1) + 0 - r + 0 - r + 5*r - 3*r + (-3*r + r - r + (1 + 0 + 0)*(0 + 0 - 2*r) - 4*r + 4*r - 11*r)*(-2 - 1 - 2).\nAnswer: 78*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -28116 divided by -3\nAnswer: 9372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/8*f**4 + 0*f + 3\/8*f**5 + 0 - 3\/2*f**2 + 3*f**3.\nAnswer: 3*f**2*(f - 2)**2*(f - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/2, -0.2, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -470*q - 1420. Determine v(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, w: 6, e: 2, i: 2, f: 1, n: 1}. Give prob of sequence nf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*y = -3*r, y - 34 = 5*r. Let m(u) = 2*u + 9714 + 3*u - 9710 - 4*u. Determine m(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = -2*x. Solve 2*r - 7*r - x = 0, 3*r - 6 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7 - 5 + q - 2. Let z(i) = -3*i. Determine z(t(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(2 - (1 + 2)). Put -1, 6, h in decreasing order.\nAnswer: 6, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*h = 16, h = -3*h. Let p(z) = z**2 - 5*z - 20. Calculate the remainder when p(11) is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68782*d**4 - 10939*d.\nAnswer: -825384*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**12\/w*w)\/((((w\/w**(-5\/2)*w)\/w)\/w)\/w))**(8\/3) assuming w is positive.\nAnswer: w**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -1)**2 + (sqrt(180) + -1)**2.\nAnswer: -24*sqrt(5) + 362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3 = -17. Sort 3, 0.4, b in increasing order.\nAnswer: b, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u. Let g(n) = 7 - 26 - 14*n**2 - 7*n + 12. Let d(k) = 2*k**2 + 0*k**2 + 2 + 0*k**2 + 3*k**2 + 2*k. Let o(m) = -7*d(m) - 2*g(m). Calculate o(p(q)).\nAnswer: -63*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + sqrt(325)*-1 + sqrt(325) - sqrt(325))**2 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1209*o**2 - 7 + 8 + 86*o**2 + 295*o**2 as z*o + h*o**2 + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 330*b**2*w**2 + 424*b**2*w + 3*b**2 + 2*b*w**2 + 37547*b*w + b - 9*w wrt b.\nAnswer: 660*w**2 + 848*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 23*q - 128. Let m be b(9). Let k = 12 + -7. Let t = k + m. Solve 0 = 4*f - 2*g - t*g + 36, 0 = -5*g + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 400\/175*42\/(-60)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*i + 75*i = 55. Calculate the greatest common factor of 155 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lclclckckkkkkkkc. What is prob of sequence cckl?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - 1. Let m be u(8). Let -25*b + 5*b**4 + 45*b**2 - 8*b**4 - 2*b**4 + 5 + m*b**4 - 35*b**3 = 0. Calculate b.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*k**3 + 7*k**2 + k + 599?\nAnswer: -66*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7150451, 35, -2 in decreasing order.\nAnswer: 35, -2, -7150451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 7*v + 7. Let y(j) = 627*j**2. Give a(y(x)).\nAnswer: -786258*x**4 + 4389*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 1\/(-1))\/(-2). Let s = 5.5 + -6. Let u = -52 - -52.4. Which is the nearest to g? (a) s (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 2*j + 2 - 6*j)*(0*j - 2*j**3 + 0*j).\nAnswer: 2*j**4 - 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2223010 (base 4) in base 13?\nAnswer: -4ca2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -997*c*t**3 + 1719*t**3 wrt c.\nAnswer: -997*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 14 = -5. Let w(b) = b**3 + 8*b**2 - 9*b - 1. Let g be w(c). Let x(n) = 6*n**2. Let l be x(g). Solve 2*q = -4*k - l, -2*k + 2*q = -k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddy when three letters picked without replacement from dyyyydd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-225)*-18)\/(-5)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1740 and 513242.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssssssscssscsss. Give prob of sequence cssc.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/42 + 0)\/(12\/(-16)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4671 + -4662. Solve r - k = 4*i, 6*r = 4*r + 3*i + 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*z + 4. Solve -3*g + z*g + 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 515013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -3, -2130 in descending order.\nAnswer: 3, 2, -3, -2130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3759 - -11571?\nAnswer: 14cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -985398*q**2*s**2 + 124*q*s - 2223*s**2 wrt q.\nAnswer: -1970796*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(72)\/sqrt(6)) + sqrt(540)\/sqrt(5) + -3 + (sqrt(192) - (sqrt(192) + (1 + sqrt(192) - sqrt(192)))**2) + 3.\nAnswer: -193 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - -1. Is w - 4\/2 - -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 3*b - 4*h, -87*b + 89*b - 9 = h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 8*u - 105. Let g(i) = i**3 - i + 14. Let t be g(0). Calculate the greatest common factor of t and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2897621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y**0)\/y)**(-34))**30 assuming y is positive.\nAnswer: y**(-1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150544\/9 + 2\/9*i**3 + 21922\/9*i + 404\/9*i**2 = 0.\nAnswer: -97, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -46559881 from -3.\nAnswer: 46559878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 838*j**4 + 30*j**2 - j - 1433. Let k(a) = -2*a**4 + 5*a**2 - 1. Let s(y) = -b(y) + 6*k(y). What is the second derivative of s(q) wrt q?\nAnswer: -10200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -13*(3\/(-3) - 4). Suppose 5*o = -5*k + 55, -o = -2*k + 6 + 22. Calculate the highest common divisor of u and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -34. Let p be (-2)\/a + (-174)\/(-24). Suppose 137 + 31 = p*f. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6 - 9 + 9*a**3 - 13*a**3 - 55*a**2 - 17*a**3 - 17*a.\nAnswer: -21*a**3 - 55*a**2 - 17*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -257*w**2 - 6941*w - 41. Calculate o(-27).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10013 and 0.118.\nAnswer: 1181.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194175 - 136561. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -14. Sort p, 1, 1\/2, 2 in ascending order.\nAnswer: p, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n*s**3*z**2 + 5*n*z + 9*s**3*z**2 + 9*s**3*z - 48*s**2*z**2 - s*z - 2*z**2 wrt s.\nAnswer: -12*n*z**2 + 54*z**2 + 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 392*y + 163. Is s(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + l - 13 = 0, 4*c + 3*l - 6 = -0. Suppose 0*d - 9 = -3*d, -c*d + 35 = 2*j. Suppose 10*q + 63 = j*q. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1477599844 to the nearest integer?\nAnswer: 38440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3512, -3523, -3534, -3545?\n\"Answer: -11*l - 3501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -5 (b) 3 (c) 1\/3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 255 + -200. Suppose 0 = -3*p + 4*m + 284, -3*p - l*m + 292 = -57*m. What is the remainder when p is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 7. Let j(b) = -4 + 2324*b**3 - 6969*b**3 + 2319*b**3 + 2327*b**3 + 2*b**2. Give j(l).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 38634.97 micrometers?\nAnswer: 38634970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 x when three letters picked without replacement from rpcpxxrcr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 + -0.01. Let u = 3 + -6. Let t be (-22)\/8*132\/484. Which is the closest to o? (a) -2\/13 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = 28*h + 32 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0039558 litres to millilitres.\nAnswer: 3.9558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 3742120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u + 5. Let c(d) = 4*d - 2. Let m = -19 + 21. Suppose m*a - 3 = a. Determine a*g(w) + 7*c(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(9\/2))\/(10\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, q: 5, i: 2}. What is prob of sequence iqx?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/594 and -41\/77682.\nAnswer: 699138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*v + 26. Factor -9*g - 4*g**2 - 4 + 6*g**2 + v*g.\nAnswer: 2*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 + 803 + -810 + 0 + 6 + (0 - 4)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -8 + l + l + 0*l. Let v(w) = -w + 3. Let q(j) = 3*c(j) + 8*v(j). Let a(n) = 3*n. Give a(q(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 3 + -4 - (-1 - -1). Suppose 9*w - 14 - 31 = k. Solve v + w*c + 17 = 6, 4*v = -2*c - 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -5, -2\/37, -47.\nAnswer: -47, -5, -2\/37, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**3\/6 + 15*u**2\/2 + 7*u. Let h be z(-13). Solve -h*q = -5*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 11:30 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 128182 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, o: 1, g: 5}. Give prob of sequence ot.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 10*d**2 - 7*d + 67. Determine u(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**12*n\/(n*n**(11\/8)))\/(n\/(n**(40\/3)*n)*n*n*n\/((n*(n**(18\/5)\/n)\/n)\/n*n*n)) assuming n is positive.\nAnswer: n**(2947\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*c*q**5 + 7*c*q**4 + 2*c*q**2 - 388*c*q wrt q?\nAnswer: 1560*c*q**2 + 168*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 4*z + 42, 12*z + y - 9440 = -9581 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -18578421 to the nearest ten thousand.\nAnswer: -18580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*t = -28, -o + 6 - 10 = t. Let p(j) = 31*j - 84*j + 39*j. Determine p(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 + 14*y**2 + 6*y - 19. Calculate a(6).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62682.\nAnswer: 2, 3, 31, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -0.3 (c) 1 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*q - 3. Suppose 12 = -q*d + j, -4*d - 6 = j + 3. Let y be -6 - (-3)\/6*2. What is the closest to 0 in -2, d, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2205, 4075, 5945, 7815, 9685?\n\"Answer: 1870*q + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*c**2*y - c**2 - c*y - 16*c - 1112476*y wrt c.\nAnswer: -60*c*y - 2*c - y - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86204.\nAnswer: 2, 23, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**2 + 0*y**2 - 2*y**3)*(0*y - 2*y + 4*y) + (y - y + 2*y)*(3*y**3 + 3*y**3 - 5*y**3) to l*y**2 + t*y + v + g*y**3 + q*y**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (42\/(-56))\/((-1)\/244)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, -6503, 5, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 260*f + 12358.\nAnswer: -2*(f - 167)*(f + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/30 and 9\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-11)\/2)*(-42)\/(-924)?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1237347.\nAnswer: 3, 137483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 37. Let k be (20\/25)\/(4\/10). Which is the second biggest value? (a) u (b) k (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 5.6\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) - (-8)\/3. Suppose -m = -0*m + j. Let s be (-1)\/(2 + (m - -1)). Which is smaller: s or -2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 equal to -27802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 168678473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8541141 nanoseconds to milliseconds.\nAnswer: 0.0000008541141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 614 - 602. Is (-15)\/5*(-764)\/r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 != -14923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 181 (base 13) to base 8\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-42)\/88)\/(-7))\/((-42)\/(-56))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 13*t - 5032. Let a = 1822\/3 - t. What is the common denominator of a and 13\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19836 and 57?\nAnswer: 19836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k. Suppose -20 = -5*s - k. Which is the closest to 1? (a) s (b) -4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -65. Let o = y + 33. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-48))\/(5\/(-20)) + 0\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -0.2, -2\/5, 3\/5 in descending order.\nAnswer: 3\/5, -0.01, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/30))**(-39)\/(z*z*z**(-37)*z*z**(1\/2)*z) assuming z is positive.\nAnswer: z**(156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*p - 6, -p - 933*v = -937*v - 1. Solve -p*d = w - d + 5, 2*w = -4*d - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 4*s - 18. Let r(d) = 6*d**2 - 47*d - 307. Let l be r(12). Give t(l).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17986 and 1326.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204970715?\nAnswer: 5, 1879, 21817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w + 12 = -40*w. Let t(q) = -q**3 - 7*q**2 - 2*q - 4. Let k be t(-7). Let p be (-10)\/4*(-56)\/k. Solve 2*n - p = 4*n - 5*s, 5*n - w*s = -1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*p = -4*p - 152, 3*p + 157 = 2*o. Let c = 634 + o. Calculate the highest common factor of c and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 3*t + 2*t**5 + (16 - 7*t**2 - 16)*(-2*t**3 - t**3 + 4*t**3).\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 6 = 0, -327*u - 4*h - 2867 = -332*u. Calculate the remainder when 1143 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -14*l - 177. Let r be u(-13). Put 3, -123, 0.5, r in descending order.\nAnswer: r, 3, 0.5, -123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 945134*b**6 + 1185638*b**2 wrt b.\nAnswer: 113416080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 4 - 9) + 10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*a*l**2 + 2736*a - 5*l**3 - l**2 wrt l?\nAnswer: 14*a*l - 15*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, k: 3, y: 3}. What is prob of sequence ykqy?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 368*m**2 + 49*m + 2. Let j(s) = 735*s**2 + 110*s + 6. Calculate -4*j(d) + 9*n(d).\nAnswer: 372*d**2 + d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -24. Suppose -4*v = -9*v + x. Calculate the remainder when ((-40)\/(-6))\/(2\/v) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -75, -453, -1091, -1995, -3171, -4625, -6363?\n\"Answer: -b**3 - 124*b**2 + b + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 165, -2, 1, -4, 5 in increasing order.\nAnswer: -7, -4, -2, 1, 5, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -3.607, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**3 + 1253980*y**2 - 33853675*y - 35107660 = 0.\nAnswer: -1, 28, 250769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 31 - 9*b + 54.\nAnswer: -9*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -232, -693, -1472, -2575, -4008, -5777?\n\"Answer: -i**3 - 153*i**2 + 5*i - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22012002101222021 + 1?\nAnswer: -22012002101222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from lrgxrlgjrl.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-304)\/8*((-2)\/(-1))\/(-2)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 10*j - 23. Suppose -j*x - 1140 = -2*z, -3*x + 2*z = -0*z + 856. Let p = x - -398. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z + 155. Let n be d(38). Let s(h) = -2*h - 5. Let g be s(-4). Solve -n*k = 1 + 2, -g*i - 7 = k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2556153 milligrams?\nAnswer: 0.0002556153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 561797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(615\/492*8\/5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j. Let c be f(1). Let n(x) = -4*x + 1. Let k(l) = l + 26. Let b(s) = -s - 14. Let o(v) = -11*b(v) - 6*k(v). What is c*o(r) - 4*n(r)?\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**5 - t**5 - 4*t - 73*t**6 - 2*t**5 + 15*t**2 - 28*t**2 wrt t?\nAnswer: -8760*t**3 - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2412 + 1183. Is (-1 - y\/2)\/(5\/10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1747 - 1075. Does 24 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166\/33 - -43465\/132. Let k = 3841\/12 - u. Find the common denominator of -35\/22 and k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + t**2 - 16*t + 17. Calculate x(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -56*q + 38. Let t be s(-2). Suppose 5*v = 249 + 126. What is the highest common divisor of t and v?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 16, c: 2}. Give prob of sequence cc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 4 + 5 + -5 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100 + 22*o - 49 - 50)*(-2 + 2 + 6).\nAnswer: 132*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2785314 is divided by 1244.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -26420 at most -26320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**3 - 15*u**3 - 25*u + 0*u**3 - 10*u.\nAnswer: -25*u**3 - 35*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9540, -19054, -28524, -37956, -47356, -56730, -66084?\n\"Answer: -b**3 + 28*b**2 - 9591*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27276852 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1284, 1274, 1250, 1206, 1136?\n\"Answer: -d**3 - d**2 + 1286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 715 = n + 681. What is the highest common factor of n and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 q, and 1 j when four letters picked without replacement from {q: 2, d: 1, j: 5, r: 1, w: 8}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*x**2 - 128*x**2 + 46*x**2 - 102*x**2.\nAnswer: -241*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30375026 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -13, -20, -29?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from {l: 8, q: 1, a: 5, t: 4}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*m**3 + 37*m**5 - 168*m + 303*m**2 - 12*m - 40*m**5 - 51*m**4 = 0. What is m?\nAnswer: -15, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*u + 11091 - 10251 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnb when three letters picked without replacement from bgnnngbnengb?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5 + 14*b**4 + 42*b**3 - 54*b**2 = 0. Calculate b.\nAnswer: -3, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181, 380, 579, 778?\nAnswer: 977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 3*i. Suppose -2*b = -i*b - 4. List the prime factors of (-1 - (0 + b))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 18 = -n - 3*b, -3*b = -3*n - 6. Calculate the greatest common divisor of 21 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4200080 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2016\/(-5180))\/36*-1*1?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = 1219*j - 1232*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 659, 680, 701, 722?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 1090*w - 1 = -1091*w, -3*y + 19 = 5*w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 11.\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -3, -1, -4 in increasing order.\nAnswer: -13, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 24*f**2 - 4*f - 5*f**3 + 24*f**2 to the form u*f + k*f**3 + z + l*f**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 76\/357 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/1*(-897)\/6. Let f = -72 + l. Let r = f + -155. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/((18\/(-3) - -10) + 100\/(-26)). Solve 8 = -11*p + g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -12 + 11*w**2 - 3 + 3 - 7*w. Let b be t(-8). Suppose 2*k - 3*v = -0*k + 499, -5*v = -3*k + b. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 1768679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 + r - 1. Let s be g(2). Let l = -11 - s. Sort 1\/8, l, -3 in descending order.\nAnswer: 1\/8, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9780\/(-975) + 29 + -19)*(-1)\/2\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32897380 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (453 + -498 + (5 - 0)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of z**3 + 168*z**2 - 2*z - 818 wrt z.\nAnswer: 3*z**2 + 336*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 11*l**2 - 704*l - 22008. Give f(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 4 - (-858 + 0 - -2). Suppose 8*j - 2900 + x = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/20 - (-38)\/4. Suppose 0 = -4*n + 20, 2*b - 4*n + n = -a. Suppose -410 = -5*q + b*h, q + 0*h = -3*h + 82. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*j - 7 = -82*j. Are -2\/1217 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = i - 0*i + 4*z, 44 = -i + 3*z + 48 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from {o: 5, c: 1, z: 1, j: 1, q: 1, e: 9}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(36))\/sqrt(12) - sqrt(12)*5)**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 0 - (-6 - (31 - 33))) + 13 + -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**2 - 4055*u = 0.\nAnswer: 0, 811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4 + 0 + c**2 + 12 - 12*c. Let q be w(11). Let d(l) = l**3 + 6*l**2 + q*l**3 - 7*l**3. Let v(y) = 2*y**2. Determine -2*d(u) + 7*v(u).\nAnswer: 2*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7972949?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/4243, -0.3, 0.05 in descending order.\nAnswer: 0.05, -2\/4243, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2435 (base 7) to base 14.\nAnswer: 48c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4922 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 19 - 6. Solve 5*i + w - 4*w + 27 = 0, q*i = -4*w + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120212 (base 3) to base 6.\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-9)\/(-36)*(-5640)\/29187\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89729318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -295 - -297. Solve 5*h + 24 = 2*i, 0 = 5*h - h - j*i + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 334*k - 1632. What is t(-5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 48, 147, 246?\n\"Answer: 99*l - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -86 + (-29 - -36) + 15?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17196 - 309665\/18. What is the common denominator of 67\/312 and y?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4235056329?\nAnswer: 3, 7, 4115701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37069 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11662 is divided by 185?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3306112 is divided by 9586?\nAnswer: 8528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/64 and -1\/4.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -3*l + 96, -771*l = -776*l - 3*k + 160 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/1*(-2)\/(-3 + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -246*p + 246*p - 4*j, 5*p - 2*j = -12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3*g - 3, 0 = -5*g - 15 - 0. Solve 0*p + v*p = -6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 31 = -4*b + 10, -6 = -b - 5*a. What is the third derivative of b*k**2 + 26*k**6 - 32*k**2 + 4*k**2 wrt k?\nAnswer: 3120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1110\/925)\/(0 + -3*1\/(-85)). Solve -y*q - 159 = 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -238, -1838, -6102, -14338, -27854, -47958?\n\"Answer: -218*i**3 - 24*i**2 - 2*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-119)\/((-11662)\/735)*32\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnazaanz. What is prob of sequence az?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + b**2 + b + 2. Let k(c) = 2*c - 3*c**2 + c + 4*c**2 + 2 + 0*c**2. Let t be k(-2). Let q be o(t). Solve -n - 1 = -4*p, -p - 5 = q*n + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 4*n, 12*n = 5*g + 13*n. Which is the closest to g? (a) -0.4 (b) -4 (c) -20 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/95*(-1)\/2. Let s = 10 + -15. What is the fourth smallest value in 0.5, s, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w - 15795 + 127305 = 0. What are the prime factors of w?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1001773 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, c: 4, x: 1, l: 2, f: 1, b: 1}. What is prob of sequence cb?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -8)*(-4)\/6. Let r be (i\/(-5))\/((-2)\/(-270)). Suppose 5*m - r = 3*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3216 and 4020?\nAnswer: 16080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 6\/5, -8 in descending order.\nAnswer: 2, 6\/5, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*u**3 + 0*u - 25*u**3 + 0*u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v + a, -25 = -29*v + 30*v + 5*a. Solve 3*b + v*i - 11 = 0, -i + 6 = 3*b + 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*a - 563 - 802. What is the second derivative of -a*u + 167*u - 4*u**4 + 3*u**4 + 17*u**2 wrt u?\nAnswer: -12*u**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1927820, 3855640, 5783460, 7711280, 9639100?\nAnswer: 11566920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -m + 7, -3*h - 5*m + 88 - 81 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.26. Let c = m + 4.96. Let a = c + -3. Is a not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-202*v + 13 - 13)*(v**2 + v**2 - 3*v**2) + 21*v**3 - 63*v**3 + 9*v**3 to f*v**2 + b*v**3 + y*v + p and give b.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(468\/(-240)))\/((60\/(-4))\/3)*-42.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10578229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14607*h + 11508 + 17706 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18591305647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 20*t + 30. Let f(d) = -7*d - 9. Calculate -17*f(m) - 6*v(m).\nAnswer: -m - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -2*a**7\/21 + 3*a**5\/5 + 2*a**4\/3 - 8*a. Factor m(s).\nAnswer: -4*s**2*(s - 2)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*sqrt(612) + sqrt(612))*-4*-2 + -1*(sqrt(612) + sqrt(612) + 1 + 5))**2.\nAnswer: 144*sqrt(17) + 2480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*g + 3*g - 2 - 2, 3*g + 23*q + 22 = 2*q - 38 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 160*o + 5974. What is b(-58)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12*40\/(-90)*(-4 + 10). Calculate the highest common factor of y and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 0)*(4*y - y - 5*y + (-3*y - y + 6*y)*(-3 + 3 + 2))*(0 - 1 + 3) to i + x*y and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:54 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -772\/95 or 1\/5?\nAnswer: -772\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.46 + -0.04. Let p = -4.1 - -0.1. Let s = t - p. Sort -5\/2, 1\/2, s in descending order.\nAnswer: 1\/2, s, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**4\/4 + 8*c**3\/3 - 4*c**2 - 7*c - 4. Calculate t(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/2)\/((-9)\/(-30)). Solve 0 = y*b + 25 - 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392.1547l to millilitres.\nAnswer: 392154.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 643, -3, -1 in ascending order.\nAnswer: -61, -3, -1, 643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406257?\nAnswer: 3, 191, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*p + 11 = -11, -4*k = p - 4. Let 4\/5*u**3 - 16\/5*u - 6\/5*u**k + 2\/5*u**4 - 8\/5 = 0. What is u?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/819*27*33\/9?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -144 in 1, -320, -0.5, -1\/8, -17, -2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 18*v - 678. Which is bigger: 14 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2. Let v(k) = k - 1. Let r(b) = -5*b + 3. Let p(q) = -2*r(q) - 7*v(q). Give g(p(y)).\nAnswer: 18*y**2 + 12*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.73 - 2.73. Suppose -3*q = -4*f + f - 33, 0 = -4*q + 3*f + 44. Sort 1, q, d in descending order.\nAnswer: q, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 1:23 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4707, -18827, -42359, -75303, -117659?\nAnswer: -169427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**5\/15 + 12*k**4 + 146*k**3\/3 - 62*k**2 + 18. Factor t(x).\nAnswer: -4*(x - 73)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 154*n**2 + 320*n - 1243. Calculate j(156).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k**3 - 4*k**2 - k + 9. Let i = 19 + -14. Suppose 6 = -4*c - 2*u, 0 = -2*c + i*c - 4*u + 32. Is a(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f + 23. Let a(w) = w - 6. Let n(s) = -9*a(s) - 2*j(s). Let q be n(-4). Suppose 12 = 4*m - q, -4*m + 7 = -3*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1006 + 45*p - 1006.\nAnswer: 45*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.84 + 26.84. What is the third smallest value in 5, 2\/9, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*v**4 - 37025765*v**3 - 8568172775580*v**2 - 1071021018420*v.\nAnswer: -5*v*(v + 462822)**2*(8*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -0.2 (c) -9701 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5))**11)**36 assuming l is positive.\nAnswer: l**(792\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 20*t**2 + 29\/120*t**6 + 0 + 0*t**5 + 0*t**4 - 9\/2*t**3 + 0*t. Find the first derivative of o(h) wrt h.\nAnswer: 87*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 58 + 7\/((-35)\/10). Let y = k - 54. Find the third derivative of -3*n**2 + 3*n**y + 3*n**2 + 23*n**4 - 6*n**4 wrt n.\nAnswer: 408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.89 + -20.19. Let m = x + 18. Let w = 129.3 - 129. What is the third smallest value in 2\/9, 0, m, w?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ioyyzzzizzrgg. Give prob of picking 4 z.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 6*u**2 - 3*u + 11. Let j be l(5). Let z be ((-2)\/2)\/((-7)\/j). Solve z = 3*m - 0*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*-1*(0 + (-1*(sqrt(833)*2 - sqrt(833)) + sqrt(833))**2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -134, -303, -540, -845, -1218, -1659?\nAnswer: -2168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.011 + -0.011. Let f = 57 - 56.1. Which is the closest to -1\/2? (a) -1\/4 (b) p (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274936077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 7*y**2 + 5*y + 6. Let u be -1 - (2 + 0\/(-3)). Let r = -8 - u. Is v(r) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14651761*y**3 + 2486307*y**2?\nAnswer: 87910566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10149 = -17*n - 0*n. What are the prime factors of n?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, a: 1, g: 2, k: 1}. What is prob of sequence ggn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13834049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15838?\nAnswer: 2, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 7*v**2 + 4*v + 6. Let a be q(-6). Suppose 945*d = 942*d + 216. What is the highest common divisor of a and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(224)\/(5*sqrt(28)))**2*-2.\nAnswer: 34\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 129*w - 124*w - 17, -2*u = 6. What is the closest to -15 in -2\/27, 3\/5, w?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4. Suppose 15 = 3*q, 2*d + 4*q - 3 - 317 = r. Let y = -106 + d. Calculate the highest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9707 * -3103.\nAnswer: -30120821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 785862 divided by -785862\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -63.18. Let n = -0.27 + h. Let i = 2.1 - n. What is i rounded to one dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 9:18 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -247 - -232.7. Let a = 70.6 - o. Round a to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79.1599991372 + 79.16. What is l rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtsytgsysyyyny. Give prob of picking 3 y and 1 t.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5 + 11 = 0. Let i be 22\/k - (-3)\/12. Suppose -21 = -2*t - i. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -189 - -296. Suppose -4*v + o + 161 = 0, 0 = -3*v - o - o + b. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22111 and 4?\nAnswer: -88444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-7)\/(21\/9). Suppose f = 2*g + 5*b - 2 - 0, g = 2*b + 1. Let n be (g - 0)\/(-1) - -11. Solve -i - n = 3*o - 0*o, 0 = i + 5*o + 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, n: 2, l: 2, q: 1, m: 2, o: 3}. Give prob of sequence ss.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6d2 - 2ade?\nAnswer: -31b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 7*y + 7. Let p be 100\/20 - 3\/1. Suppose 15 = -5*d, 3*f + p = -4*d - 31. What is l(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/418*-55*(-8)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (0 - 4\/(-2)). Let a = 9 + -2. Let p = -8 + a. What is the closest to 0 in -1\/5, p, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 68774, 68771, 68766, 68759, 68750?\n\"Answer: -w**2 + 68775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 197346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10276315 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52459, -99717, -146975, -194233, -241491, -288749?\nAnswer: -336007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -862 * 347\nAnswer: -299114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 6*x - 4. Let c(j) = -1. Let m(u) = 6*c(u) - w(u). Give m(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 52*k - 12 + 45 + 3*k - 13.\nAnswer: -49*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -acb5ab?\nAnswer: -acb5ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1024*c**2 - 2039*c**2 + 1018*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.62 or -699?\nAnswer: -2.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/367 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/747, -1052, 1 in ascending order.\nAnswer: -1052, -2\/747, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11325.\nAnswer: 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5)*-3)\/(196\/140)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 21 + 61018*a - 21.\nAnswer: 61018*a - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7890979?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3098 + 3058 - (1 - 19)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15514*t + 850 = -15599*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1835033735 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s - 4*s - 32*s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/10*7)\/((-28)\/70). What is the derivative of 6 - 12*z - 23*z**2 + s*z**2 - 86 + 14*z wrt z?\nAnswer: -32*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.52 - -36. Are -3 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9365 - 3298. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from uttuutttittuuu?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/43 (b) 2 (c) 4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 10*c**2 - c + 6. Let m be (12\/9 + 2)*(-6 + 9). Calculate i(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 249*v. Let a(g) = 2*g + 185. Give a(j(t)).\nAnswer: 498*t + 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57*h**2*u - 37861*h**2 - 4*h*u + 10*u wrt u?\nAnswer: -57*h**2 - 4*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*t = -f + 16, 4*f - 12 = -3*t. Suppose -2*d + 5 = 1. Let p be (2*2)\/(d + 0). Solve -p*i - 4 = -f*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -16*q**2 + 4*q - 5. Let i be v(2). Let f = -181\/3 - i. Let k = 1.8 - 2. What is the third smallest value in -2\/7, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 2*d**2 - 2*d**4 + (-d**2 - 4*d**2 + 3*d**2)*(-3*d**2 - 2*d**2 + 3*d**2) - 2*d**4 + 3 - 3 + (-3*d + 6*d - 2*d)*(-2*d**3 - 3*d + 3*d).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/15)\/(-11)*5*14\/7?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u - 19026*f + 19028*f = -1720, -5*f - 258 = -6*u for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -40644, -40637, -40626, -40611, -40592, -40569?\n\"Answer: 2*d**2 + d - 40647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.117828635 and 0.\nAnswer: -0.117828635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10949, -10944, -10933, -10916, -10893, -10864, -10829?\n\"Answer: 3*c**2 - 4*c - 10948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -10.736239?\nAnswer: 10.236239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 62181061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t. Suppose -8 - 10 = -3*p. Let q(g) = 2*g**2 + p*g + g**2 - 6*g. Determine q(z(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*((-482)\/8 - 24\/32). Calculate the highest common factor of 793 and m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bprjrrrrrpbr. What is prob of sequence bjr?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -64)\/3 + 0. Suppose 0*i = o - 3*i - j, 5*o - 83 = 4*i. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1230\/13 smaller than -95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100 - -5?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 509 by 8044.\nAnswer: 509\/8044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmds when four letters picked without replacement from ddzmmdgssd.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15343 (base 8) to base 5.\nAnswer: -210013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 79 = -4*c, 4*t + 29*c = 26*c + 64. Solve t = -31*b + 12*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 25?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 22*u - 7. Let h(r) = 13*r - 1. Let w(z) = -4*z. Let n(m) = -h(m) - 3*w(m). Calculate -c(d) - 5*n(d).\nAnswer: -17*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 27*y**2 - 268*y + 1660*y.\nAnswer: -27*y**2 + 1396*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 + 5*r + 30. Let u(v) = 2*v - 14. Let l be u(3). Let p be z(l). Calculate the highest common divisor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -77, -129, -181, -233, -285?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -38, -77, -120, -161, -194, -213?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*k + 52*k - 1829 = 789 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 945, 3911, 9017, 16395, 26177, 38495?\nAnswer: 53481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 7*z + 10*z = 29, 6 = 3*d - 3*z. Solve -5*k - d*r = 20, 0 = 10*k - 3*r + 37 + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(18\/(-56))*12528\/168 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 - 6\/(-56). Let r = 2.5 + -2. Let l = r + -0.9. What is the biggest value in c, l, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4702 - -14107\/3. What is the fifth biggest value in h, -3, 2, -0.2, 36?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g - 8. Let c(s) = s**3 - s**2 - 19*s - 1. Let a be c(5). Calculate w(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 5*k - 10 = 0, 3*j + 52*k = -30 + 134 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 97 + 97 - 2*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Let s be (-2 + o)*(-3)\/2. Suppose s = l - 2*z, 5*l + 0 - 15 = 4*z. Solve b = l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - -0.8. Let h = -2 + d. Let i = -24751\/8 + 3094. Which is the closest to h? (a) 2\/5 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63558*c**2*i*v**2 + 4*c**2*i*v - 37*c**2 - 4*c*i + c*v**2 + 89*c*v - 36*i*v**2 - v**2 wrt v?\nAnswer: 127116*c**2*i + 2*c - 72*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j - 3. Let h(m) = m - 1. Let k(a) = b(a) - 3*h(a). Let r(w) be the first derivative of 10*w**3\/3 - 1. Determine r(k(q)).\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 3.1, -2\/7, 0.044, -5.\nAnswer: -5, -4\/3, -2\/7, 0.044, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2. Let v be q(-1). Let s be (10\/4)\/((-35)\/(-28)). Suppose 2*h = l + 18, -s*h + 0*h + 3*l + 14 = 0. Solve -v*g - h = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*3*(-3 + ((6*((sqrt(130)*1 - sqrt(130)) + sqrt(130)))\/(-2*sqrt(1440)))**2).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.51 + -1.6. Let r = i + 4.09. Let j = 11 - 11.2. Which is the third biggest value? (a) r (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230, -457, -684, -911, -1138?\nAnswer: -1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 330980 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 + 22*q**2 - 20*q + 24. Let c be t(10). Is 11861 + -3 + c\/(-11 - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 344.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c**4\/7 - 236*c**3\/7 + 270*c**2\/7 + 1304*c\/7 - 456\/7 = 0 for c.\nAnswer: -2, 1\/3, 3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (48\/(-28))\/(3\/(-42)). Let l be (-426)\/v - 2\/8. Let u be (-2)\/(-1) - l\/6. Solve u*h - 8 - 7 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k - 5, 0 = -t - 2*k + 11. Suppose 0 = -t*u + 4*u. Is 0 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 39211, 3, -3, -5, -8 in decreasing order.\nAnswer: 39211, 3, -1, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + -8. Let z = k + 44. Let v(q) = 2*q**2 - 9*q + 3. Calculate the remainder when v(7) is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-6 - (0 - (1 - -1)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 3. Let g = 23 + -19. Suppose -4*d = -g*j + 80, -d = -2*j + s*d + 46. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -5*j + 8. Let r(v) = 6*v**2 + 4*v + 4. Let x(p) = -p + 1. Let c(u) = 13*u**2 + 15*u + 3. Let n(b) = c(b) + 6*x(b). Calculate j*r(t) + 4*n(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*x + 4*m, 4*x + m - 1 = 44. Let g be (-15)\/x*16\/6. Is 10*(-1)\/(g\/26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26555, -26572, -26627, -26738, -26923?\n\"Answer: -3*k**3 - k**2 + 7*k - 26558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p = 0, 0 = -2*l - 4*p + 4. Suppose 0 = 3*q - l*f - 802, -4*f - 270 = -q - 6*f. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2\/7 (b) -3 (c) -5 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 174891, 174879, 174845, 174777, 174663, 174491, 174249?\n\"Answer: -2*t**3 + t**2 - t + 174893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from rrrgrgsvgfsrvffr?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkxkkkkkkxkkxk. What is prob of picking 1 k and 2 x?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3 - 9. Suppose -2*k = k - 3*g + 6, n*k = 2*g - 4. Suppose 5*l + 1 - 6 = 0, k = 5*r - l + 11. Put r, 1, -3 in descending order.\nAnswer: 1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26672633 is divided by 666.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2828*a**2 + 2831*a**2 - 8900*a**2 + 3232*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 12 - 42. Suppose -x*a + 95 = 3*b, 35 + 30 = 5*a - 3*b. Let q be 8\/6*(5 + -2). Solve a = -q*p + 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2990497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 5 (c) 28\/27 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*s**2 + 6*s**2 - 5*s**3 + 7*s + s**2 + 4*s**3 + 2*s + 27.\nAnswer: -(s - 3)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - ((-252)\/(-80))\/(-9) and 15\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1)\/4)*(-2)\/(-3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 11*m + 26. Let u be b(-8). Let z(v) be the first derivative of 1 - 1\/7*v**u - 2\/21*v**3 + 0*v. Factor z(k).\nAnswer: -2*k*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94936?\nAnswer: 2, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-8)*-1*-12. Let l(v) = -v**2 + 10*v + 13. Calculate the smallest common multiple of 10 and l(n).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2 + 0 - 4*z - 1)*(0*z - 2*z + z + (5 + 3 + 2)*(3*z - 3*z + z) + 2*z + 2*z + 3*z).\nAnswer: -48*z**2 - 48*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 36 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0)\/(-6 + 0 + 1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257255586?\nAnswer: 2, 3, 7, 137, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -39322470*n. Let k(g) = -5*g**2. What is k(h(w))?\nAnswer: -7731283234504500*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5443051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 1 + 6 + 6. What are the prime factors of v(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*l + 2*l. Suppose -3 = -2*d - l*f, -2*f + f - 1 = 0. Suppose 4*y = d*y + 1. Are 2 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120550 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 25, 2*r + 2*r + 6724*w = 6728*w + 24 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12980276, 25960553, 38940830, 51921107?\n\"Answer: 12980277*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 2394810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 4, -337?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*p = 6*t - 14, -p - 18 = -4*t. Suppose 3*x = -2*j + 64, 0 - 5 = t*j. What is the remainder when 109 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 - 3 = 0. Suppose 5 = -l - 4*t, -2*l - 2*t - 1 + 3 = 0. Factor -3*x**2 + u*x**l + 6*x**4 - 3*x**5 - 13*x**3 - 15*x**4.\nAnswer: -3*x**2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1162304 divided by 4?\nAnswer: -290576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 9 - 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -611 less than 10?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 10.072. Let m = 0.072 + a. Let s be ((-24)\/(-16))\/(66\/8). Put 0.3, m, s, -0.2 in decreasing order.\nAnswer: 0.3, s, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/42*(-18)\/(-4)*22\/(-55).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (705\/329)\/(((-6)\/(-21))\/2). Is w smaller than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 19\/171777238?\nAnswer: 19\/171777238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3461 (base 9) in base 3?\nAnswer: -10112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 3*i**2 + 0*i**2)*(3*i - i - 4*i)*(0*i + 3*i - 4*i + (0 + 0 + 2*i)*(-16 - 24 + 4)).\nAnswer: 146*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u + 544. Let i(l) = 848*l. Give i(y(z)).\nAnswer: -5088*z + 461312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242411?\nAnswer: 13, 29, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m**2 - 8*m**2 + 15*m**2 - 13*m + 17. Let h(s) = -s**3 + 9*s**2 - 15*s + 121. Let z be h(9). Give t(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15064553 to the nearest integer?\nAnswer: 3881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 12*f - 120 = 0. Differentiate -2 + f - 17*i**2 - 6*i**2 + 3*i**2 with respect to i.\nAnswer: -40*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -291*u**2 - 350*u + 350*u + 162*u**2 - 182*u**2 to the form p*u + h*u**2 + r and give h.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -12 - 10*l - 11 - 10 + 2. Let m be r(-4). What are the prime factors of 1074\/m + (-8)\/(-12)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 8. Suppose -3*w + 0*w - 21 = 0. Let f be y(w). Let l(o) = -3*o**2 + 6*o + 6. Let s(n) = n**2 - n - 1. Calculate f*l(u) - 6*s(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -10 + 4 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 11*i**2 + 11*i - 5. Let a be v(10). Let o be (18\/(-10))\/((-1)\/a). Which is smaller: o or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t - 127. Let m be o(-36). Suppose -w = -m*w + 432. What is the remainder when w is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -63 (b) 0 (c) -2 (d) 0.2 (e) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -6*b, -q - 5*b - 753 = -764 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -985 divided by 195?\nAnswer: -197\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - sqrt(175)\/sqrt(5)*-3)\/sqrt(5))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28969072 by 15.\nAnswer: 28969072\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140 + -32. Suppose -12*d - 15*d + u = 0. Solve -v - 8 + 1 = 5*p, 2 = -d*p + v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*i - 6*i**2 + 8*i - i)*(1338 + 165*i - 1338 + (-4 + 3 + 3)*(2*i + 1 - 1)) in the form v*i**2 + l + b*i**3 + c*i and give v.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/(72\/(-24))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 24*r**2. Let s(h) = -1787053*h. What is s(a(y))?\nAnswer: -42889272*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/16713 and -49\/4707.\nAnswer: 8740899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 10*d**2 - 11*d - 13. Let c be ((-12)\/(-8))\/(2\/(-20)). Let x be c*((-51)\/15 - -4). What is the remainder when 29 is divided by v(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-51 - -51 - 43)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + 51\/(-6))*4\/(-14). Let z(h) = -18199*h**3 + h - 2. Let c be z(k). What is c rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1494 by 166.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 0 + 0 + 1 - 1 - q + q + q - 4*q + (0*q + q + q)*(5 + 3 - 2) - 3*q + q + q + (q + 3*q - 2*q)*(5 - 1 - 2) - q + 10 - 10.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 992.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -56*u**2 + 2*u + 2. Calculate t(-1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 2*y - 4, -2629*h + 2624*h = 3*y - 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/12 + 8\/(-6). Let b(i) = i**2 + 3*i - 4. What is b(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35625650.\nAnswer: 2, 5, 107, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/805?\nAnswer: -4\/805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 + 33*y - 38. What is t(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 j, and 1 h when three letters picked without replacement from dhddjuudujhchuyhujuy.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1325814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 35867 (base 9) to base 14\nAnswer: 8a8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.471745 days in milliseconds?\nAnswer: 559158768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-45)\/3930*1380\/72)\/(5 - -1) and 34\/1965.\nAnswer: 15720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*w - 9 = -453*w, 5*z - 196 = 2*w for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 687*f**2 - 6*f + 7. What is the tens digit of o(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 63*s**3 + 356*s**2 + 211*s + 30 = 0. Calculate s.\nAnswer: -5, -3\/7, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-6))\/((-1)\/(-14)). Let k be 4\/(-10) + p\/(-15). Let t(y) = k + 1 - 4 - y. Give t(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0 (c) 112 (d) 463 (e) -0.1 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3)\/l**(-4))\/(l\/l**0)**(-2\/55) assuming l is positive.\nAnswer: l**(776\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -99*l - 22. What is the remainder when x(-1) is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, -5, 47, -6, 3, 40 in descending order.\nAnswer: 47, 40, 3, -4, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/115 + -94\/115. Let o = -1990 + 1992.099. Let x = o + -1.099. Which is the nearest to -2\/3? (a) x (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166*n + 166*n + 18*n**3)*(n + 2*n - n).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6119679 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 489, 0, 3.\nAnswer: 0, 3, 489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.17, -4 in decreasing order.\nAnswer: 7, 0.17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*u + 79*u + 657 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -12*i - 18. Let z be v(-4). Calculate the greatest common divisor of z and 600.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4036 - 3909. Let l = 421 + -293. Is l at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a**3 - 2*a**2 + 1. Let o be u(-1). Suppose 10 + 0 = o*m. Suppose k - m*p + 10 = -3*k, 0 = 3*p + 9. Put 1, -5, k, -2 in descending order.\nAnswer: 1, -2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**2 + 2*r**4 + 3*r**2)*(119 + 110 - 218) + 2*r**4 + 0*r**4 - 5*r**4 as p*r**3 + s + m*r + c*r**2 + u*r**4 and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**3 - 106*m - 4 + 2 + 46*m + 60*m. Let d(k) = -24*k**3 - 11. Give -2*d(t) + 11*o(t).\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -p + 2*d - 5, 5*p = -4*d + 23. Suppose -3*n - p*q + 141 = 0, q - 41 = -3*n + 90. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.869 + -0.93. Let m = h + -1.239. Let x = -1.6 - m. Which is the smallest value? (a) 3\/2 (b) 5 (c) -4 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -16*b + 112. Find the common denominator of (0 - -30)*3\/(12*b) and 125\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -51. Suppose f*j - 748 = 9*j. Is j a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4968499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-71 + (-8029)\/(-111))\/((-5)\/((-135)\/(-2)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + 5 + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 7*l**2 - 6*l - 3. Calculate o(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 3.21503.\nAnswer: 3.51503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23184, 23181, 23176, 23169, 23160?\nAnswer: 23149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 109674913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 4:09 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**3 + 10*v**3 + 0*v - 2*v**3 + 2*v**4 - 2 + 5*v**2 + 4*v - 9*v**3 to the form k + w*v + x*v**2 + p*v**3 + j*v**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 122767711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 0.3, 2, -7 in decreasing order.\nAnswer: 2, 0.3, -7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 13*t**2 + 8. Let k be m(12). Suppose -2*w + 154 = -3*i - 0*i, -k = -2*w + 2*i. What is the greatest common factor of 37 and w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 5237779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (0 + -1 + -3) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 2 - 2)*(-2 + 2 + 2 + (1 - 1 - 2)*(-20 - 23 + 27)).\nAnswer: 102*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -1\/4, -5, 0.5, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37015*t - 88992*t + 40810*t.\nAnswer: -11167*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 4 (c) -3\/5 (d) -28\/673 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-4 - -5) + (-7 + 9 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/11 or 5.476792?\nAnswer: 5.476792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(1\/3))**(-35))**(3\/38)*(l**(-2\/7)*l)**(-45)\/(l**(2\/3))**(-45) assuming l is positive.\nAnswer: l**(-530\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 8 + 2. Let u = w + -6. Solve 0 = -u*k - 3*k - 2*q + 1, -k + 17 = 4*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44294216 and 308639.3.\nAnswer: -43985576.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 - ((-16 - -28) + 9) - 8.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120206\/60103)\/(-1*(0 + (-2)\/(-4)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2754660 by -688665.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - y. Let t(s) = 5*s**2 - 13*s + 33. Let a(d) = -t(d) - 4*v(d). Let r be a(3). Solve -2 = 7*i - r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d*d**0)\/d)*d)\/d*d*d**3*(d*d*d**(2\/11)*d)\/d**2 assuming d is positive.\nAnswer: d**(57\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-306)\/23613)\/(-2*2). Let m = -15052\/1389 + y. Find the common denominator of -11\/9 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9156771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - t = 4*t + 59, -4*x + 4*t + 60 = 0. Suppose 2*s = -2*s + x. What is the second derivative of f**2 - s*f + 3*f + 0*f wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2103706, 2103702, 2103698, 2103694, 2103690?\nAnswer: 2103686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 q when three letters picked without replacement from {z: 4, e: 2, q: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37936 + -37936.98. Which is the biggest value? (a) 15 (b) -4 (c) s (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000085970928 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*w - 0 + 22, -4*m = w + 4. Suppose -3*l - 7 = -2*j, 0 = j + l + 3*l + 2. What are the prime factors of j\/(-1)*(m + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*f**2 + 25*f*m - f - 67*m - 2 wrt f.\nAnswer: 12*f + 25*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 3*f**2 - 2*f + 19597. Is d(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(1700)*-3 - sqrt(1700))**2.\nAnswer: -27209 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31751 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrnn when four letters picked without replacement from {r: 3, h: 1, m: 1, y: 3, c: 6, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 5*s - 4*s)*(-2 - 4 + 4) + 2688569 - 2688569 - 6066*s.\nAnswer: -6062*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9137143 and 0.125153.\nAnswer: -9137142.874847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/24*2696\/(-1011))\/((-534)\/4).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 26*m**2 + 19*m - 46. What is the smallest common multiple of z(-25) and 12?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -3.9. Let d = -0.4 - x. Sort -1\/3, 1\/4, d in decreasing order.\nAnswer: 1\/4, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2 - (0 + 0). Suppose 4*h - 4 - 4 = v. Let n(y) = -y. Let o(c) = c + 6. Let l(w) = -4*w - 16. Let x(r) = 3*l(r) + 8*o(r). Determine h*x(u) - 10*n(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 17805 - 17831 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*d - 14 = 0, g - 4*g + 2 = 5*d. Let b be (-2)\/g + 525\/10. Suppose 5*v = v + b. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -758*g**2 - 751*g**2 - 760*g**2 + 2268*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 m, and 2 q when four letters picked without replacement from {u: 2, c: 2, q: 5, x: 1, m: 2, j: 1}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87197 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*v**3 - 66*d*v**2 + 14741*d - 26*v**3 - 1 with respect to v.\nAnswer: -3*d*v**2 - 132*d*v - 78*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 - 5*n + 1. Let o(h) = h. Calculate 6*o(k) + p(k).\nAnswer: -3*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h + 5*h + 2*h + 15 - h. List the prime factors of p(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*z + 111*z + 30 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 2\/9, 1\/4, 186, 0, 2\/3 in increasing order.\nAnswer: -1\/5, 0, 2\/9, 1\/4, 2\/3, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.67 - -16.66. Let s = -0.01 - r. Put 0.05, -4, s in descending order.\nAnswer: 0.05, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.3 - 2. Let t = 458 + -458.4. What is the closest to 1 in m, t, -4\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*n**3*t + 2*n**3 - 6*n**2 - 33*t wrt n?\nAnswer: 408*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 167855, 167495, 167135, 166775, 166415, 166055?\n\"Answer: -360*d + 168215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 4*z. Suppose 5*x + 1 = q - z, x = q - 5. Let r = -1 + q. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 613.2954 micrograms?\nAnswer: 0.6132954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgdhssfs. What is prob of picking 1 h and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, 1, -13, 0 in increasing order.\nAnswer: -125, -13, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 71*x**2 + 3*x + 1335. Let l(p) = 3*p. Calculate k(l(b)).\nAnswer: 426*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.03 + -0.03. Let w = m - 11. Which is the nearest to -1? (a) 2 (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -141*u + 44. Is v(-4) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 + 0.77. Let i = -1.3 - z. Let d = 0.7 - 1. Put d, -1\/7, i in increasing order.\nAnswer: i, d, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -269238773, -538477546, -807716319, -1076955092, -1346193865, -1615432638?\n\"Answer: -269238773*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -51.04.\nAnswer: -30.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1001102202002 (base 3) to base 6\nAnswer: 15555045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 679 = -3*i, -n - 51*i + 680 = -53*i. Let a = 700 - n. What is the smallest common multiple of a and 66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -27*t + 1. Give o(2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muuuumaauuuu. Give prob of sequence auum.\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from {i: 2, a: 6, c: 7, f: 1, u: 1}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2. Let i(t) be the first derivative of 2*t + 0*t**2 + 2 + 17\/6*t**3. Let l(v) be the first derivative of i(v). Give m(l(a)).\nAnswer: 578*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 5*t, 3*t + 13 + 12 = -2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 29*v**3 - 9*v**2 - 4*v. Let x(z) = -4*z**3 - 367*z + 6*z**3 + 2*z**2 + 368*z - 7*z**3 - 2*z**3. What is -4*f(o) - 18*x(o)?\nAnswer: 10*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -21334141 (base 6) to base 8\nAnswer: -2327455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 203 - 962. Let g = 20641 - 39727\/2. Let u = t + g. Calculate the common denominator of u and -27\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/48)\/(6\/27). Factor 3\/4*v**2 - u + 0*v.\nAnswer: 3*(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743898.\nAnswer: 2, 3, 123983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 4:50 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + 5 - (1 - (6 - 17))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**7\/42 + 7*z**6\/10 + 14*z**5\/5 + 3*z**4 + 1569*z + 1. Suppose k(t) = 0. Calculate t.\nAnswer: -18, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 z, and 1 i when three letters picked without replacement from {z: 2, i: 1, p: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**5*u**(-6\/11)*((u**(-12)\/u)\/u)**(2\/35) assuming u is positive.\nAnswer: u**(201\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 428 = 2*f. Let z = -433 + f. What is the units digit of 12\/(-9) - z\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12172176 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*h + 164*h - 3*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2995, -5960, -8923, -11884, -14843, -17800?\n\"Answer: d**2 - 2968*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeevzezez. Give prob of sequence ee.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*y + 49. Let c(i) = 3*i - 21. Let q be c(y). Suppose -219 = -q*n - 3*n. What are the prime factors of n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 72, 182, 300, 426?\n\"Answer: 4*t**2 + 98*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 11*y - 17. Let s be p(12). Let m = -68 + 103. Let c be (-14)\/m + (-7)\/s. Is c >= 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -56.00000097. Round t to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1)*l)\/l*l)\/(l*l\/(l*l**11)))\/((l**4\/l)\/l)**(3\/22) assuming l is positive.\nAnswer: l**(107\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4624 and 14926.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.034 from 5903.\nAnswer: 5903.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1195, 1253, 1333, 1435, 1559?\n\"Answer: 11*s**2 + 25*s + 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101884997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -386403736*h**2 - 55486910*h - 5 wrt h?\nAnswer: -772807472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 25. What is the nearest to -2\/13 in 5, x, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 4213547?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, z: 4, j: 3}. What is prob of picking 4 z?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/6)\/(122\/(-30378)) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35739 (base 13) in base 7?\nAnswer: -555264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 13\/15*o**3 + 21*o + 1\/21*o**7 - 2\/5*o**2 + 0 + 19\/25*o**5 - 22\/75*o**6 - 16\/15*o**4. Solve d(w) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a century in months?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/28 of a week?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3654 = -l - 0*f - 4*f, 0 = -4*l - 4*f + 14568. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/5 and -16\/1637.\nAnswer: 8185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 0 + 1 - (795 + -566 + -245)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1550142972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - 2*q + 1. Suppose 0 = -3*z - 1 - 8. Let t = z + 6. What is the remainder when t is divided by h(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -11*r + 4. Let p(l) = -l. Let c(t) = 18*p(t) - 2*x(t). Let i(b) = -5*b - 3. Let z be i(-3). What is the units digit of c(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = 2*k. Let x(o) be the first derivative of -o**3 + o - 27. Calculate x(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdsymdksf. Give prob of sequence ssy.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1148067 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -389*l**2 - 16*l - 8*l - 9*l - 1 - 11*l + 46*l to j*l**2 + w + g*l and give j.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 8:04 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnee when four letters picked without replacement from ennenen.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 473425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 340*w**7\/7 + 32*w**3 + 198. What is the third derivative of h(g) wrt g?\nAnswer: 40800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20000022011 (base 3) in base 8?\nAnswer: -347056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3616 (base 7) to base 10.\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5609.216 millilitres to litres.\nAnswer: 5.609216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (182\/(-455))\/(4\/140). Let k(f) = 6*f**3 + 7*f + 7. Let x(v) = -v**3 + v + 1. Calculate q*x(y) + 2*k(y).\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgb when three letters picked without replacement from {g: 4, b: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * -21470.\nAnswer: 1502.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -731\/40?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - n - 535 = -535 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.13 (b) 3 (c) -4\/5 (d) 3.1 (e) 4399\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -13.4. Let q(x) = -x**3 - 4*x**2 - x + 1. Let g be q(-3). Let v be (3\/6)\/(g\/(-4)). Is w at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, x: 1, e: 1, f: 9}. Give prob of picking 1 x, 1 e, 1 p, and 1 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 5*a + a)*(25 + 10 + 68)*(-2 - 1 + 1)*(31 + 47 + 0).\nAnswer: 32136*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6496*a + 25792. Give g(4).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 1 + 1 + (-p + 3*p - p)*(-1 + 1 - 2) + 1 - p - 1 + p + 1 - 1)*(0 + 2 - 1 + 5 + 14 - 5 + (0 + 1 + 0)*(0 + 1 - 4)).\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 16*k + 28. Calculate the remainder when 42 is divided by g(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139102025 divided by -25?\nAnswer: 5564081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 44*c + 100*c - 1192 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 12*k - 14. Let b be y(-14). Let p be 4\/10 - b\/(-30). Let c be 12500\/p*(-680)\/1. What is c rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570518891.\nAnswer: 211, 1439, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/9 + 10439*s\/9 - 6333050\/9.\nAnswer: (s - 575)*(s + 11014)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 44*v + 181. Let o be y(-4). Suppose -a + 2*d - 345886 - 954106 = 0, -2*d + 3899996 = -3*a. Let f be o\/(10\/a) - -1. Round f to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/5)\/(3\/45). Suppose -3*q = -b - 3, -2*q = -n + 112. Suppose p = -2*s + 116, 3*p + n = 2*s + p. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 14*g**2 + 7*g + 6. Let l(a) = a**3 - 13*a**2 - 8*a - 6. Let j(k) = -2*c(k) - 3*l(k). Suppose 0*o = -2*o - 20. Determine j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 p when four letters picked without replacement from {d: 2, m: 4, p: 3, t: 6}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 74\/3 - ((-320)\/(-30) - 11).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 24*f - 4. List the prime factors of x(11).\nAnswer: 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/(75\/50). Let k = 126.9 - 127. What is the closest to k in j, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n. Let t(m) be the third derivative of m**7\/2520 - m**4\/24 - 3*m**2. Let j(h) be the second derivative of t(h). Determine l(j(v)).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**2 + 452. Let v(i) = -140*i. Let q(m) = -11899*m. Let j(b) = 6*q(b) - 511*v(b). Determine j(t(l)).\nAnswer: 292*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*n**3 - 104*n**2 - 311 wrt n?\nAnswer: 9*n**2 - 208*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*l**4 - 2279*l**3 + 5033*l**2 - 3265*l + 502.\nAnswer: (l - 251)*(l - 1)**2*(9*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -2, 1, 13, 7, -4 in ascending order.\nAnswer: -71, -4, -2, 1, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8 (b) -1792 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -11. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/684 and 5\/3690864.\nAnswer: 3690864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -74*w + 17. Is t(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-6))\/(6\/(-5)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82590 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655094348.\nAnswer: 2, 587, 279001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-27))\/(25\/60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16925, -17855, -18785, -19715, -20645, -21575?\n\"Answer: -930*i - 15995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-616)\/(-12))\/(-12 + 4 + 502) and -56\/9.\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**3 - l**2 + 42*l - 129. Let h be s(3). Calculate the greatest common factor of 876 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 (base 3) in base 16?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789768080 is divided by 1834.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 269023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 11:07 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 1\/1) + 155650\/(-21225)\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 8*j - 4*b - 5 = 0, j = 3*b. Suppose c = -h + 546, -j*h - 11 = 1. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16551.\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1, 2, 4.16 in decreasing order.\nAnswer: 4.16, 2, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 559945276677857\/275565 - 2031989827. Let c = -459938219\/37293130 + l. Let q = c - 1\/406. Calculate the common denominator of q and -81\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.54 - -0.09. Let u = w - 0.55. What is the nearest to u in 3, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -2611\/30. Let u(y) be the third derivative of 0 - l*y**6 - 5*y**2 + 0*y + 0*y**5 + 0*y**3 + 3\/8*y**4. What is the second derivative of u(h) wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -15*f**4 + 7*f**3 + 111*f**2 - 13. Let b(s) = -5*s**4 + 2*s**3 + 37*s**2 - 4. Let d(l) = -7*b(l) + 2*u(l). Find the third derivative of d(v) wrt v.\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 12:26 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 221, -2, -1, 0, 2.\nAnswer: -2, -1, 0, 2, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 17 (b) 0.1 (c) 0.4 (d) 12 (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*f + 25, 5*i - 35 = -37*f + 39*f. Let o be (-222)\/(-30) - (7 - (i - 4)). Factor -o*n + 8\/5 - 1\/5*n**2.\nAnswer: -(n - 1)*(n + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 131, 255, 379, 503, 627, 751?\n\"Answer: 124*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 14 = 4*w, w - v = -0 + 2. Suppose 12 = w*i, 3*k = -k - 4*i + 16. Let t(x) = -4*x + 5*x - 7 + k*x + 8. Determine t(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t + 197. Give p(26).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 174 (b) 9\/8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 = -38*l + 5*l - 12*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -825806, -825804, -825802, -825800, -825798, -825796?\nAnswer: -825794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -3*v + 5*m, 5*m = 24*v - 23*v - 20. Suppose 2*n - 7*n = -v. Sort n, -6, 1, -2 in increasing order.\nAnswer: -6, -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536929533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.3 (b) -3 (c) -0.11 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -25 + 36 - 13 - 5*k**2 - 3*k + k**2. Let j(d) = -4*d**2 - 3*d**2 + 25*d - 30*d - 4. Give 3*j(t) - 5*p(t).\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5 + 14*d**4 - 6*d**3 - 46*d**2 + 64*d - 24 = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97720596 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 78\/(-902) + (-74)\/407 and ((-16)\/(-30))\/((-18)\/45)?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38445 is divided by 1588?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352 and 12232?\nAnswer: 48928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.030644 <= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021448831 rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7417*-0.2.\nAnswer: 1483.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 1\/36 (c) -1\/4 (d) 139 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.822 + 20.8. Let s = -4.978 + d. Suppose j + 0*j - 3 = 0. Put s, j, -0.4, 5 in decreasing order.\nAnswer: 5, j, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z**2 + 14*z + 3. Suppose 3*k = 2*k + 11. Let b = -31 + 33. Let a(w) = 0*w**2 - 9*w**b + 5*w**2 - 1 + 7*w**2 - 5*w. What is k*a(c) + 4*g(c)?\nAnswer: c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 466?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 35, 74, 133, 218, 335?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7041332 divided by -17\nAnswer: -414196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111110111110 (base 2) in base 7?\nAnswer: 65401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424146708?\nAnswer: 2, 3, 2179, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.887 - 2.113. Which is the second biggest value? (a) -27 (b) 2\/17 (c) -12 (d) j (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 77 - 6*i + 74 + 71 - 223 as h + d*i and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11898824.861 + 1450.\nAnswer: 11900274.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + 0 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 - 3*v**2 + 3*v**2)*(643 - 5712 - 3296 - 2992) in the form x + m*v**2 + r*v and give m.\nAnswer: 11357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7740 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 160 + -804\/5. Is j < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 2:42 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1090)\/(-25) + 3\/(-5). Let i(q) = -2*q - 43 + w - q. Let p be i(-1). Solve -m - 4*g + 11 = 28, 0 = 3*m + p*g + 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 202 - 1b8?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -36567104 divided by -14?\nAnswer: 2611936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y + 106*y - 15872 = -124*y for y.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -140 or -537645\/3821?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112002012122212010 + 11?\nAnswer: -1112002012122211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 748 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: Calculate (2\/(-3))\/((-42575)\/(-10218)).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 6\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpt when three letters picked without replacement from {l: 1, p: 2, j: 1, u: 1, t: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 - 54 = -4*h, 2*z = 4*h - 18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {a: 2, w: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(((v**(-13\/5)*v)\/v)\/v))\/v**15)\/(v\/(v*((v*(v*v\/((v\/(v**(-5\/9)*v)*v)\/v)*v)\/v)\/v)\/v*v)*v\/(v\/v**(-17))) assuming v is positive.\nAnswer: v**(362\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884044 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16, -446 in increasing order.\nAnswer: -446, -5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/3)\/(12\/464). Suppose 8*y = -u + 1672. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54816420 to the nearest integer?\nAnswer: 7404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3 + (sqrt(1377) + -2)*3)**2.\nAnswer: -108*sqrt(17) + 12397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(8\/9))**(-21) assuming u is positive.\nAnswer: u**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15411128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 23*i**2 - 2*i + 42. Let w(v) = -3*v**3 - 10*v**2 - 28*v - 52. Let k be w(-3). Give n(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135297161?\nAnswer: 47, 857, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 26. Let r(v) = v + 104. What is 9*c(j) - 2*r(j)?\nAnswer: -2*j + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/12 - q**3\/6 + 3*q**2\/2 - q. What are the prime factors of y(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -683 - -1363. List the prime factors of x.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 2*v - 1. Let m = 8 + -6. Let r(f) = 2*f**3 - 3*f**2 - f + 3. Let z be r(m). Suppose -4*s + 3*i + 14 = -4, -22 = -4*s + z*i. What is o(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28633*u**2 - 28425*u**2 + 56824*u**2.\nAnswer: -234*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1698 + -610. Let a = t + -1085. Let x = -2 - -3. What is the nearest to x in 7, 2\/3, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4588230 or 4588227?\nAnswer: 4588230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102918 and 1938?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 2. Let t be u(0). Let b(w) = 6*w**2 + 2*w - 2. Let y be b(t). Suppose 5*a - 172 = y. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from ffcfxccf?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -15, -1, -38 in descending order.\nAnswer: 4, -1, -15, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8025 - -158467. Let t = g - 437442. What is t rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410431 (base 7) to base 11.\nAnswer: -48528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*c + 3*c - 68*c + 46 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 10*d - 63203. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9.5 (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/(-1320))\/((-9)\/20)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -188 + 338. Suppose 8*v - 16*v = 79*v - 2610. Calculate the greatest common divisor of d and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21653311.\nAnswer: 21653311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (121 - -46) + 36 - 152\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11859.6123 milliseconds?\nAnswer: 0.00013726403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*h - 2*h = 35, 42 = 4*s + 2*h. Let z be 16\/10*s\/4. Suppose -z*p - 36 = -4*c + 36, -3*p = c - 34. Calculate the least common multiple of c and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151420028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100245 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 11.08. Let n = d + -15.28. Let a = n - -12. Round a to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(325)*3*5)*1)**2.\nAnswer: -600*sqrt(13) + 73141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 6*r**2 - 4*r.\nAnswer: -2*r*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 + p - p**2 + 3*p**3 - 3*p**3 - 4*p**3. Let c(u) = -15*u**3 - 6*u**2 + 9*u. Let d(v) = c(v) - 12*w(v). Factor d(h).\nAnswer: -3*h*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 12:17 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32130.6 smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -4099962877.\nAnswer: -4099962876.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 5:36 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2234497?\nAnswer: 17, 131441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.142332875675 + 6.9.\nAnswer: 6.757667124325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000168 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0539064 rounded to 4 dps?\nAnswer: 1.0539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 + 69.3.\nAnswer: 69.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3 + 22438176*j**2 + 41955799011264*j - 671298528365568 = 0 for j.\nAnswer: -3739704, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10320 (base 4) in base 11?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.106, 608, -3.\nAnswer: -3, -0.106, 3\/4, 608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 1\/6*l**3 - 1\/4*l**2 + 19 + 0*l. Factor i(j).\nAnswer: j*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, g: 2, x: 2, w: 2, j: 13}. What is prob of sequence wwjj?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1409300461 to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2 + 4*z + 5. Suppose 0 = -7*y - 2*y + 18. Suppose 0 = y*t, g = -t + 4 - 10. Is k(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 296.6534 to one dp.\nAnswer: 296.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**4\/6 + a. Suppose -3*h + 2*h + 968 = 5*f, 5*h - 4817 = -2*f. Let t(y) = -963 + h + 2*y. Determine t(k(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -1, -14, -47, -799?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -401c724 + 4?\nAnswer: -401c720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 8*x - 11. Let g = 55 - 64. Let y be i(g). Let s be (1\/6)\/(y\/6). Which is the nearest to s? (a) 1\/4 (b) -5 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112314.\nAnswer: 2, 3, 18719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 442, 454, 466, 478, 490, 502?\n\"Answer: 12*j + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v - 7*v - 6 + 11*v - 9*v as r*v + x and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p. Let t(y) = 8*y. Give t(l(o)).\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 2*h + 10. Let z(t) = -t**2 + 8*t + 6. Let b be z(8). Let l be (2\/6)\/(1\/b). Let o(j) = j - 3. What is l*o(x) + 3*k(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-21))\/((21\/(-36))\/7). Suppose -2*t = -2*c - h, 2 + 17 = 4*c + 3*t. Solve 0 = 2*v - 8, -4*v = -n - 10 - c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-328)\/26*((-131)\/(-132) - 1) and 42\/65?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(272)*1*-6 - sqrt(272)) + 0 + sqrt(272) + 3)**2.\nAnswer: -39204 + 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-216)\/(-28) - (-6)\/21. Let r = 11 - m. Solve -r*k = -k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**19\/t)\/(t*t*t*t*t*t**(-14)*t))**(1\/22) assuming t is positive.\nAnswer: t**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.19 in -1\/7, 14, 4\/5, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 11 + 23. Put -4, 4, v in ascending order.\nAnswer: -4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1431 = 572*h - 519*h for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 1134?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.26 + 0.06. What is the fourth smallest value in z, 3, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529120823717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 225 = 45*p + 39*p. Solve -52 = p*g - 55 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94303.\nAnswer: 11, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 8:00 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*(sqrt(171) + (sqrt(171) - (sqrt(171) - sqrt(171)*-2)))*3)\/(4*(sqrt(225) - sqrt(225)*2)*2).\nAnswer: -9*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6538444 is divided by 44479.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 8*p**3 + p**3 - p**3.\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1 - (1 - (2 - 3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 105, 399, 889, 1575, 2457?\n\"Answer: 98*u**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1994673.\nAnswer: 3, 664891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 11 = -7*z. Let v = z + 50. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 707*f - 577*f**3 + 573*f**3 - 1456*f + 725*f.\nAnswer: -4*f**3 - 24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 59. Suppose -55 = -p + j. Calculate the highest common divisor of p and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2363304 + 6?\nAnswer: -2363298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((105\/14)\/(-1))*5\/1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36784963*x**4 + 83875549.\nAnswer: 147139852*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38*q + 19*q - 78*q)*(-72 - 5 - 58 - 15 - 69) to the form r + b*q and give b.\nAnswer: 4599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 17852201?\nAnswer: 17852201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(56) + -3*3*sqrt(56))\/sqrt(8) + -2 + (4*sqrt(896))\/(sqrt(8) - (sqrt(8) - (-5*(sqrt(8) + 2*sqrt(8)) + sqrt(8))) - sqrt(8)))**2.\nAnswer: 544*sqrt(7)\/5 + 137572\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19405, -27369, -35333?\n\"Answer: -7964*x - 11441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5277 - 5248. Calculate the remainder when 548 is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4216345\/66 + 63884. Let r = -2\/351 - 1\/78. What is the common denominator of r and c?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**2\/23 - 16182*s\/23 + 8090\/23 = 0. Calculate s.\nAnswer: 1\/2, 4045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 4, -0.44, 3\/38, -2, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64716.\nAnswer: 2, 3, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)\/((-3)\/9) + 115 + 14. Solve -6*h = 15*h - w for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*k*p**3 - 3048*k*p**2 - 5*p**3 + 17*p + 1030 wrt k.\nAnswer: -5*p**3 - 3048*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, j: 7}. What is prob of picking 4 j?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -6. Suppose -m - 4*x + 0*x + 16 = i, 3*x - 9 = 0. Suppose -3*v - 5 = -b, -4*v - v - m*b = -20. What is v rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f - 4666 - 4667 + 13997 + 6*f**2 - 4661 + 5*f**3 in the form n*f**3 + m + s*f + q*f**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 340398 to the power of 1\/2, to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -686, -1338, -1990, -2642, -3294?\n\"Answer: -652*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10750)\/(-11) - 528\/1936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/27)\/(224\/288).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -78 (b) -2\/15 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4057, 80, -58.\nAnswer: -58, 80, 4057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12102 (base 3) in base 14?\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from rrxrrrrrrrrrrrxrxx?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*c - 6 = -486*c - 5*t + 21, 8 + 1 = -5*c - 2*t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/6 + 2\/3. Let c = l + 9. Let j(i) = -13*i**2 + 13*i + 13. Let g(z) = -9*z**2 + 9*z + 9. What is c*j(x) - 7*g(x)?\nAnswer: -2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 494575165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-3 + 2 + 0)*(-2 - 3 + 1)*(1 + 4*l - 1).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1347708155 - 5?\nAnswer: -1347708161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2, 0.0334541, -0.072 in increasing order.\nAnswer: -2, -0.072, 0.0334541, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 1005?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006679101 rounded to 6 decimal places?\nAnswer: -0.000668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 9) to base 5.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h - 2*c - 26 = 0, 2*h = 2*c + 14. Suppose 0*x = 2*x - h. Suppose -3*p + 311 = x*o - 19, 2*o + 3*p = 217. What are the prime factors of o?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -737, -739, -741?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -896 - -898.059. What is o rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 3*c. Let u(x) be the first derivative of x**3\/3 + x**2 + 1. Let z = 8 - 6. Let l(i) = z*p(i) - 3*u(i). Let g(b) = -4*b**2. Determine g(l(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.6 in -3, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 26\/164982885 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1812 + -1812.1. Let f = -7.2 + 7.3. Let j(l) = -l + 7. Let r be j(6). Which is the nearest to f? (a) r (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 12*p**2 + 3*p**2 - 29*p**2 + 7*p**2 + 10*p**2. Let j(b) = -3*b**2 + 37*b. Give y(j(q)).\nAnswer: 27*q**4 - 666*q**3 + 4107*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1806, -1805, -1804, -1803?\nAnswer: -1802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 48. Suppose 0*k + 4*g + 25 = -5*k, 5*g = k - l. Which is the nearest to -0.1? (a) k (b) 2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12224203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 27. Let s(y) = -2*y + 8 - 4*y - p. What is the units digit of s(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69\/5 - -67\/5. Sort -5\/4, -3\/4, s, -0.2 in decreasing order.\nAnswer: -0.2, s, -3\/4, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 245329*l**3 - 22977*l.\nAnswer: 1471974*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -276500 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 471 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 2)*(-5 + 3 + 4) - 1 - 2 + 1)*(0 + 2 - 4)*(4*i + 0*i - 2*i).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1213*p**2 + 406*p**2 + 405*p**2 + 18*p + 405*p**2 + 22. Calculate l(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x**3 - 36*x**2 + 9*x + 8. Calculate h(-5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4*q + 7355*d**4 - 2*d**3*q + d**3 + 5*d**2 - 2*d*q - 40*q + 31 wrt d?\nAnswer: 48*d*q + 176520*d - 12*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 6*f + 7. Let g(h) = -32*h - 35. Determine 2*g(o) + 11*r(o).\nAnswer: 2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1930, 1908, 1872, 1816, 1734, 1620, 1468, 1272?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*w = 113*w + 4*o + 21, -w + 5 = -307*o - 16 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 7*h + 18. Let m be j(-8). Suppose -923 = -3*w - m*w. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126479338 to the power of 1\/3, to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*p - 119 + 107 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 9*w + 7. Let r be y(-6). What is the tens digit of (r\/(-3))\/((-106)\/(-36) - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 423 and 23453?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utfg when four letters picked without replacement from iiutujfg.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**2 + 2*h + 4. Let q(a) = -5*a**2 - 2*a - 3. Suppose 4*s - 4 = 4. Let p be -2 + 4\/s + 3. Determine p*x(o) + 4*q(o).\nAnswer: -2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3090.356 centuries to months.\nAnswer: 3708427.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/2 + 922*w**3 + 425961*w**2 + 845478*w - 2544723\/2 = 0. What is w?\nAnswer: -921, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(5\/4))**25\/((x**0\/x*x\/x**(2\/5))\/(x**(-1\/2)*x*x*x**(-2\/11)*x*x)) assuming x is positive.\nAnswer: x**(7693\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/2797 or -1.2?\nAnswer: -6\/2797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/9 + -12 + (-24096)\/(-54). Let u = 436 - j. Solve 4*o + u*q + 28 = -2*q, -10 = 5*q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3142077 - -0.4.\nAnswer: 3142077.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o*s**4 - 7*o*s**3 - 20*o*s - 2*s**4 - 2*s wrt s?\nAnswer: 48*o*s**2 - 42*o*s - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38835767 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**2 + 0 + 1\/3*i**3 + 0*i + 1\/4*i**4. Let s be n(-1). What is the biggest value in -2, 0.6, s?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1356952 (base 10) in base 7?\nAnswer: -14351062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w + 2*y - 221 = 0, -30*w + 2*y + 49 - 240 = -35*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 4:52 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f - 1260 = -24*f. Is 1 + f - (-4 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(540)*-4)\/(sqrt(12) + -2*sqrt(108)).\nAnswer: -24*sqrt(5)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -314084550 to the nearest 1000000.\nAnswer: -314000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38982, -20744, -2506?\nAnswer: 15732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23690 is divided by 23389?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y**2 + 2*y. What is v(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -4*f - 4*p - 24, 5*f - p = -1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23739 divided by -1.\nAnswer: -23739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 6*d = -15, 30 = -3*y + 4*d + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 629997 - 412997. What is f rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2*m = 98, 4*z - 3998 + 3906 = 5*m for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 224 and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1829.89 to the nearest integer.\nAnswer: -1830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.070925083 + -3.49.\nAnswer: -3.560925083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p - 4. Let f = -1535 - -1546. Let b(v) = v. Let d(n) = -16*n + 7. Let i(j) = -3*b(j) - d(j). What is f*r(y) - 6*i(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -1668, -5681, -13496, -26379, -45596, -72413?\nAnswer: -108096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 2, 1 in increasing order.\nAnswer: -35, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - 7*n + 7. Let i(m) = -5*m**2 - 11*m + 11. Let t(x) = -2*x**2 - 5*x + 5. Let v(d) = -3*i(d) + 7*t(d). Give 2*p(s) - 7*v(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-5\/3)\/k)\/k*k**2)**(-4\/3) assuming k is positive.\nAnswer: k**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 11*f**2 + 3*f + 13. Let i be (-4)\/12 - 87\/9. Let q be x(i). Suppose -3*m + q = 23. Solve 0 = 4*w - 0*w + m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9135 and 348?\nAnswer: 36540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 83787204.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/10 - 4\/(-10). Suppose -5*l - 5 = 3*d + 5, 2*d = -5*l - 10. Let n be d*(-2)\/6*v. Solve n = 3*y - 3 - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.61 in 5, -0.3, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -34\/4869?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04321466 + 0.3.\nAnswer: 0.25678534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9118337 is divided by 701408?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/11154 and 175\/3432?\nAnswer: 44616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17301\/2 - 8648. Put h, 0.4, -0.2, 7545 in decreasing order.\nAnswer: 7545, h, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 0 (c) 7 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1270 (base 9) in base 2?\nAnswer: -1110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = -6*b - 10*b - 64 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 324\/90*(-10)\/12*2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 15. Let o be b(6). Solve 2*p - o*k = -6*k + 16, -3*p - 4*k + 23 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 120 = -5*x. Let j be x\/(-10) + (-13)\/(-1). Suppose -5*c = -3*i - 6, -15*c + 10*c = 3*i - 24. Solve -i*z = -5*q + j, -q + 0*q = 4*z - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -2\/3*g**3 + 0*g + 0*g**2 - 142. Let u(k) = -9*k**2 + 4. What is u(o(s))?\nAnswer: -36*s**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-484)\/(-22))\/(-286))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g - 5. Suppose -2*x + 5*w - 1 = -17, 0 = -4*w. Does 2 divide m(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1413 or -8795?\nAnswer: 1413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*o**3 - 4829*o**2 - 134846?\nAnswer: 42*o**2 - 9658*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 594220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-4))\/q)\/q)**14\/((q*q**(-5))\/(q*q**1)))**3 assuming q is positive.\nAnswer: q**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -21330*u + 64007. What is d(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356690196.\nAnswer: 2, 3, 607, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + -16 + -9 + -59 + 13?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (20884\/681)\/(3\/(-9))*(-1)\/2\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -1 - -5) + (-26 - -17 - 8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-5)\/(3 - -2). Suppose 0 = 13*c - 65 - y. Suppose -w = l - 1, -2*w - l - 19 = -c*w. Solve 0 = -w*z + 10 - 30 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 5 + 2 + 30*p)*(p - 2 + 2) + 7 - 4*p**2 + 4 + 3.\nAnswer: 26*p**2 - 6*p + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 19. Let q be 13 + 76\/(-4) + (-13)\/((-26)\/140). What is the greatest common divisor of y and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**3 - p**2 - p + 1. Suppose 3*g = 2*g + 1. Suppose -y = -0 - g. Let q be w(y). Solve -q = b, -25 = 5*r - 0*b + 3*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 5 = 4*w - 5*x, 5*x = -4*w. Let s(g) = g - 15. Let o be s(0). Let r be 6\/(-5)*o\/(-6). Sort w, r, 0 in increasing order.\nAnswer: w, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.088018 and -133.\nAnswer: -11.706394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 - -62. Suppose 43 = -5*g - 2*v, 3*g - 3*v + 5*v = -29. Which is bigger: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -348*k + 15987 + 10*k + 29*k + 3*k**2 - 129*k.\nAnswer: 3*(k - 73)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 8*t**6\/3 - 7*t**3\/3 + 21. What is the third derivative of h(n) wrt n?\nAnswer: 960*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3756848*0.05\nAnswer: -187842.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 1:48 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 0, -3*w - 2*f + 7*f + 9 = 0. Let z(b) = 3 - w + 0 - b**2. Let q be z(0). Let k(a) = a**3 + a**2 - a - 10. What is k(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0011 and 723.\nAnswer: -0.7953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1275)\/340*(-8)\/(-6). Suppose 0 = 2*o + 2 - 8. Sort 1, t, 5, o.\nAnswer: t, 1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**4\/12 + 11*r**3\/6 + r**2 - 9*r. What is the remainder when 75 is divided by k(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21074638.\nAnswer: 2, 13, 62351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.98 + -0.02. Let w = -4 - s. Let v = 64\/97 - -2\/291. Which is the closest to w? (a) 0.5 (b) v (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g**4 - 303*g**3 + 660*g**2 - 164*g = 0.\nAnswer: 0, 2\/7, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1066604 (base 8) to base 10\nAnswer: 290180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/100*(-12320)\/112?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) 1\/40 (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1101 and 1933 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r - 44. Let k be j(13). What is the common denominator of -77\/6 and (-38)\/(-6) - (k - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(sqrt(19) - (sqrt(19) + (1 + sqrt(19))**2)) + sqrt(152)\/(sqrt(8) + sqrt(56)\/sqrt(7)).\nAnswer: 13*sqrt(19)\/2 + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1604\/(-10) - 3\/5. Calculate the common denominator of -121\/30 and b\/(-18) + -1 - 0.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*b**6 - 39*b**3 - 36*b**2 - b.\nAnswer: 2400*b**3 - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*k - 2*n, -k + 3*n - 10 = 3. Let m(g) = 3*g. Let z be m(1). Suppose -k*b = z*b - 35. Solve 10 = -2*t + b*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**6\/120 - x**5\/60 - x**4\/12 - x**3\/2 + 3*x**2. Let m be (2 - (1 + 0))*-1. Let s be 3 + m - 1*4. Determine o(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2453 is divided by 612.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16863*n**3*o**2 - 94054*n**3 - n**2*o**2 + 3*o**2 wrt o.\nAnswer: 33726*n**3*o - 2*n**2*o + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqkq when four letters picked without replacement from {q: 8, j: 2, f: 3, t: 2, k: 2}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + h. Let z be m(1). Suppose u + 8 = z. Let w(x) = x**2 + 3*x - 6. What is w(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 r when three letters picked without replacement from {r: 10, q: 1, i: 8}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*c + 8 = 0. Let d be 11\/33*(c - -55). Suppose 2*h + 4*q - d = 0, -5 - 7 = -5*h + q. Solve 6 + 3 = -h*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -21, 4, -0.07, 0, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5339691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1315 (b) 3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 2*o + 6. Give i(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j**2 + 29*j - 101. Give o(16).\nAnswer: -1685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -133 + 1\/2*t**2 + 0*t. Let h(q) = 9*q + 9*q + 26*q. What is s(h(r))?\nAnswer: 44*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**4 + 30*n**3 + 45*n**2 + 26*n + 4. Let a(b) = 4*b**4 + 30*b**3 + 46*b**2 + 27*b + 4. Let x(o) = 2*a(o) - 3*w(o). Factor x(p).\nAnswer: -(p + 1)**2*(p + 2)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*w**4 - 1940*w**3 + 7592*w**2 + 2304*w - 8064 = 0 for w.\nAnswer: -28\/27, 1, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 - 5*y**2 + 3*y**2. Let h(g) be the first derivative of 3 + 7\/2*g**2 + 0*g. Calculate h(j(n)).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 282112000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16456239 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 690.8 and -601.\nAnswer: -415170.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/4*-45174*(-4)\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) 12 (c) 0 (d) 1\/11 (e) -2 (f) -15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -112?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 405189134941?\nAnswer: -405189134950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -11, -4\/5, -2\/11, 43, -1\/6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -13. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -14. What is the smallest common multiple of 6 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*((-6)\/(-10))\/(-1). Suppose 0 = 4*x + u + z*u + 8, 1 = x - 2*u. What is the smallest common multiple of 3 and ((-2 - x) + -1)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.1364756 and -5.\nAnswer: -20.682378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*n + 5*r, -2*n + 82 = -2*r + 24. Suppose 11 = -4*z + n. What is the units digit of z\/4 + 6\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-12 - -11 - (2 - -7)) + -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 68\/(-130) + 1 - -2. Let i = 12\/5 - x. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**4\/22 + 8*t**3\/3 + 44*t**2 - 25. What is m in u(m) = 0?\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 18 - 10. Let q = -4 - a. Let r = 41 + q. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.5, -37, -0.1 in descending order.\nAnswer: 0.5, -0.1, -1\/6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3 + y**3 - 6*y - 4*y**2 - 2*y**2 + 1 - 2*y**3. Let a be c(-5). Let 2 - 2*r**2 - 6*r + 3*r**3 + 0*r + a*r = 0. Calculate r.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/2)\/(-1)*(-260)\/(-325).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122*x**2 + 16*x**4 + 134*x**2 - 44*x**2 - 3*x + 153 + 27 - 17*x**4 wrt x.\nAnswer: -12*x**2 + 424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916637503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 150. What is d(36)?\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-30)\/(-1))*8*(-5 + 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -27. Suppose 132 = 5*v - 2*s, 6*s = v + 11*s - 21. Let b = v + 40. Calculate the remainder when b is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28270 and 25.\nAnswer: 141350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 908.78903 + 0.33\nAnswer: 909.11903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 22 + 24 - 222*z**2 - 545*z**2 to s + o*z**2 + g*z and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 820 and 20.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 2, 4, -0.2, 21, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*k + 1 + 11*k + 156 - 156 + (2 + 0 - 4)*(-4*k + 4*k + 2*k))*(-2*k**2 - 3*k + 3*k).\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16401 + 1005?\nAnswer: -15396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28249981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9668160 and 966816?\nAnswer: 9668160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 79 (b) 1\/3 (c) -38876.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(612) + sqrt(612)*-4 + sqrt(612) - (sqrt(612) - ((sqrt(612)*1 - sqrt(612)) + -4)) - -4*(1*sqrt(612)*-3 + sqrt(612) + 5))**2.\nAnswer: -1584*sqrt(17) + 74196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 65736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53146537 - 1?\nAnswer: -53146540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/3*4360\/(-1199)*-3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-3) - (1806 - 18). Let p = g - -19560\/11. Factor 0 + 12\/11*f**2 + p*f**3 + 16\/11*f.\nAnswer: 2*f*(f + 2)*(f + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*d = -x + 1779, -3*x - 2*d - 2678 = 0. Do -892 and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 = 3943*m - 3897*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n**4 - 116*n**3 + n - n + 2*n**2 + 117*n**3 to f*n**2 + i*n**3 + l*n + b + m*n**4 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 845879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/5424 and 41\/15?\nAnswer: 27120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d - 4*d**3 + 4*d**2 + 5*d**3 + d - 2*d**2 to the form o*d**2 + i + r*d + s*d**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -150, -599, -1354, -2421, -3806?\n\"Answer: -c**3 - 147*c**2 - c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88130\/40 + 3\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + -56. Calculate the greatest common factor of 297 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 + -13.437\nAnswer: 99.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3447+-2.2\nAnswer: 3444.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1)*(368\/32 + -11). What is the closest to -1 in 5, x, -0.04, -1\/22?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 9. Determine s(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 30390?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84828 = 4*h + 3*w - 18659, -w = 3*h - 77614. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 l when three letters picked without replacement from llrlllrrlllrrrlrrrjr.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/3)\/a)\/a)**(-2\/31)*a*a\/(a**(-2)\/a)*a*(a\/a**(3\/7))\/a)\/((a\/(((a**(-2\/13)\/a)\/a)\/a))\/a**(-4\/3))**(-2\/95) assuming a is positive.\nAnswer: a**(1564417\/267995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.66 - 1.76. Which is the third smallest value? (a) r (b) 0.15 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*v - 475*v = -2233630. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/39 - 35\/156. What is the closest to 1 in a, 3\/7, 2\/25?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4095)\/(-2457)*(-612)\/(-20)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 33 = 10*x. Suppose x*u - 39 = -4*u. Suppose 81*c**4 + 16*c**2 - 12*c**u + 4*c - 97*c**4 - 4*c**5 + 12*c = 0. What is c?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19845942*c**3*i**2*k**2 + 85*c**3*k - 4919*i**2*k wrt k.\nAnswer: -39691884*c**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, r: 9, c: 1}. What is prob of sequence cr?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 + 57*r + 954. Is o(0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1557.521 + -1559. Let v = o + 0.479. Which is the closest to v? (a) 3 (b) -1\/2 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -11) + (0 - 3) + (-1 - -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 1:11 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12c6016 (base 13) to base 2.\nAnswer: 10110100110100111010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*w - w**2 - 3*w)*(0 - 1 + 2) + (0 - w + 0)*(7*w - w + 2*w))*(-8 - 4 + 3).\nAnswer: 81*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31346 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -9, -3, 15728 in increasing order.\nAnswer: -9, -5, -3, 6, 15728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*b + 14. Suppose 3*a = 3 + 6. Which is bigger: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 465 + -465. Solve -4*k - 2*w + 6 = c, 3*w + w = k + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -11 - (-76 + -54)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15933264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/39292 and -27\/44462?\nAnswer: 1689556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*o + 22*o**2 + 6*o - 20*o in the form a*o + l*o**2 + g and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 20*k + 104. Let w be u(-4). Suppose -5*q + 128630 = -w*q. Round q to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -23, -78, -185, -362, -627, -998, -1493?\nAnswer: -2130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12 - 7) + 4 - -3) + -15 + 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-12) + 46\/(-28). Let t = 23\/14 + h. Which is the closest to 1\/6? (a) t (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 3*o + 5381, -4*o + 1237 + 1461 = 2*y. What are the prime factors of y?\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2936 - -2938. Let t be (52\/455)\/(4\/(-10)). Which is the biggest value? (a) q (b) -2.1 (c) t (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 - 13*a**3 + 96*a**3.\nAnswer: 87*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 492095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -54*q. Let x(z) = 18*z. What is 3*w(s) + 8*x(s)?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296365.\nAnswer: 5, 59273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-nine halves of a millimeter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 0*h - 11\/12*h**4 - 7*h**2 + 1\/2*h**3 + 0. Is a(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 3 (c) 2 (d) 0 (e) -2 (f) -1520 (g) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13195 and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*c + 2638. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1456, -1496, -1548, -1618, -1712, -1836, -1996, -2198?\nAnswer: -2448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3996 (b) 0.09 (c) 1\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**2\/2 + 28*d + 6. Let l be h(-30). Sort 1, -0.1, 2, l in descending order.\nAnswer: 2, 1, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2640*o - 2639. What is p(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6 take away 0.1455?\nAnswer: 7.4545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 675 and 14130?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24746 + -18?\nAnswer: 24728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 8:19 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 503 + -506 - -7*1. Put u, -39, 1 in ascending order.\nAnswer: -39, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 n when three letters picked without replacement from ncuccdcucquq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.256 - -0.4.\nAnswer: 0.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-187596)\/(-84) + (-4)\/14. Suppose -d = -14*x + 7*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -205904.47837 to the nearest ten.\nAnswer: -205900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864802660 a multiple of 4210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x - 4. Let y be w(5). Let n = y + -4. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - -6 - (0 + (0 - 1)). Let x = -9 - -9. Which is smaller: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 15, h: 4}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0586095 months to decades.\nAnswer: 0.0004884125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20 - 13 - (191 - 1). Let u be -7 + p\/(-15) - (-2)\/(-10). Solve -4*b = -0*n - 2*n - 10, -u*b = 3*n - 29 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 + 49*a**2 + 292*a + 27. Let z be y(-13). Which is smaller: z or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -5\/7 (c) -40.013 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -63.122086.\nAnswer: 65.122086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, h: 4, f: 3, v: 4, i: 1}. What is prob of picking 2 c and 1 v?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -26*c**2. Let s(b) be the first derivative of b**3\/3 - 4. Determine a(s(r)).\nAnswer: -26*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)*-1*2)\/((sqrt(45)\/sqrt(5))\/sqrt(3)) + 0.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 2*n - 19. Let u be a(6). Let x = 31 + -21. Solve x = 3*m - i, 0 = -2*m - 2*m + u*i + 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 12*i - 2. Let x be a(-1). Let u(d) = -2*d + 3. What are the prime factors of u(x)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91453177993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 z when three letters picked without replacement from {g: 11, i: 3, z: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -11*(-1 - (0 + 0)). Let y = -45 - -72. Let l = 28 + y. Calculate the highest common factor of x and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 + -2 + (38 - 16).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -137, -1, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*a - 687085 = 145315. Is a < -16648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 - 1. Let z be (-410)\/(-8) - (-21)\/28. Let l be 3 - (z*2\/20)\/2. What is the second smallest value in -5, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34334*0.202.\nAnswer: 6935.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -572, -573, -574, -575, -576?\n\"Answer: -n - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-18.4.\nAnswer: -18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t = -100. Suppose 0 = 2*c - 5*z + 7 + 25, 5*z + 34 = -4*c. Let l = -6 - c. What is the greatest common factor of l and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -398 - 631. Let q = y - 144. Which is smaller: q or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 2011*i**2 - 786*i**2 + 272*i**2 in the form d*i**2 + r + g*i and give d.\nAnswer: 1497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 48, 346, 1158, 2742, 5356, 9258, 14706, 21958?\n\"Answer: 43*m**3 - m**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 133 = -317. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-5) + 6206\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -15*i**2 + 55*i + 3. What is u(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -10. Let s(l) = -l + 2. Calculate the least common multiple of j and s(-9).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.122 - 3.878. Put 87, -2\/9, -0.1, v, 5 in increasing order.\nAnswer: v, -2\/9, -0.1, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*f - 56*f - 6*f**3 + 2*f**5 + (2*f + f**4 - 2*f)*(3*f + 2*f - 4*f) + 0*f**5 - 5*f**5 + 3*f**5 + (f + 0*f + f)*(0*f + 0*f - 2*f**4).\nAnswer: -3*f**5 - 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:54 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 265*s**2. Let g(l) = 98 - 98 + 1284*l**2 - 1282*l**2. Give y(g(f)).\nAnswer: 1060*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 18. Let x be o(-11). Put x, 2, 3, -3 in ascending order.\nAnswer: x, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 541, -9, 1\/70, -0.5, 0.2 in descending order.\nAnswer: 541, 0.2, 1\/70, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 185130 and 4012360?\nAnswer: 613891080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 9*q - 9. Let t be y(-9). Let v = t - -14. Solve -3*z = 2*x - 22, -7*z = -3*z - v*x + 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205260223.\nAnswer: 7, 29322889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 4. Let d be r(-7). Suppose w + 11 = 2*w - d*h, -2*h + 66 = 3*w. Round w to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 - 3*p**5 + 2*p**5 + (-3*p**4 + 3*p**4 - 2*p**4)*(0*p + 2*p - 4*p) - 4*p**5 + 2*p**5 + 6*p**5 - 4*p**5 - p**5 + 4*p**5 - 4*p**2 + 4*p**2 + 2*p**5.\nAnswer: 7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = -13*y + 2*g - 5, -47 = -3*y + 2*g. Calculate the remainder when 99 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.294 - 0.859. Let x = p - 0.035. Round x to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 4*y**2 + 0*y**2)*(3 - 1 - 3 + (-1 - 2 - 2)*(-2 + 0 + 0)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 3*a + a)*(2*a - a + 0*a) + (-a - 2*a + 7*a + (-1 + 3 - 3)*(0*a + 0*a + 2*a) - 107 - 25*a + 107)*(-a - 2*a + a).\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -153 in 3.6, 2.876, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -34*f**2 + f. Let m(a) = 988*a + 1. What is m(q(r))?\nAnswer: -33592*r**2 + 988*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 12 - 18 = 0. Suppose 7*v = -2*v + 549. Suppose -n + 85 = -6*z + 10*z, -v = -3*z + 2*n. What is the lowest common multiple of g and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -479480000 to the nearest one million.\nAnswer: -479000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101 + -11001011101100011011?\nAnswer: -11001011101011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7652820.1116+-5\nAnswer: -7652825.1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1 = 3. Calculate the lowest common multiple of 8 and 8\/3*c\/((-1)\/(-12)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 291 - 291.1. Which is the closest to u? (a) -5\/3 (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 43*y**3 + y**2 - 2*y - 2. Let m(f) = -42*f**3 + 2*f + 1. Let j(w) = -3*m(w) - 2*o(w). Is j(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6294*a + 6299*a - 5 = -5*u, -2*u = 3*a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 2*j + 2*j)*(-159*j + 42*j - 2 - 56*j).\nAnswer: -173*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17.3 * -17502\nAnswer: -302784.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.9779l in millilitres?\nAnswer: 177977.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99)*-4 + sqrt(99))\/(2*sqrt(81))*5.\nAnswer: -35*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -11 - (5 + -2 - (-31 - -86))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 246966070 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 631, 1260, 1889?\n\"Answer: 629*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from ooyfnnnory?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 434909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f*m*x*y + 2*f*m*x + 154*f*m - 4*f*x - f*y + m - 1912*x*y + x wrt y?\nAnswer: -2*f*m*x - f - 1912*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/126)\/16 + (-2)\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -6, -3, 4, 11\/3, -0.1, -40?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 4*y + 5, -4*z + 2*y - 22 = -0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - 191910*f**2 - f + 191917*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2556*b**4 + 36*b**3*s + 141251*s with respect to b.\nAnswer: -10224*b**3 + 108*b**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 147*k + 5109. Give y(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) 3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 7*m + 2*m**2 + 8 + 0*m**2. Let k be h(5). Which is the smallest value? (a) -0.3 (b) -0.03 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441 (base 7) in base 14?\nAnswer: 2c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 22*n + 26. Let f be l(12). Calculate the highest common divisor of f and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.48394588, -4, -0.1?\nAnswer: 0.48394588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2445 = -63*v - 2130 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -268727 + 1624027\/6. Let n = a - 1959. Calculate the common denominator of n and 109\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110110011000010101 (base 2) in base 12?\nAnswer: -1b4731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*x - 0*x + 17, 0 = 4*x - 5*p - 23. Let i = x + -5. Factor 10\/3*n**3 - 10\/3*n - 4\/3*n**i + 4\/3.\nAnswer: 2*(n - 1)*(n + 1)*(5*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, k: 1, g: 1, c: 5, n: 5}. Give prob of sequence ngk.\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 10 = 0, 5*p + 2*t = 4*t. Suppose -z - z - 6 = 0, -2*z - 14 = -p*i. Calculate the lowest common multiple of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11701 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 138*y**3 - 242 wrt y?\nAnswer: 414*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/52692 and 1\/480?\nAnswer: 2107680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22759769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**3\/3 + f**2 + 6*f - 692. Let y(i) = -9*i - 5. Let t be y(-1). Calculate u(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) -22.3 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**4\/12 + 5*u**3\/3 - u**2. Let x be h(7). What is the lowest common multiple of 9\/3 - 1 - x and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 2 = 3*m. Let c(o) = 4*o - 5. Let f(w) be the first derivative of -w**2 + 3*w - 1. Let b(q) = m*f(q) - 2*c(q). What is b(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -68*j**2 + 601*j + 13. Give i(9).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-186)\/15 - 7*12\/(-210). Let g(m) = -3*m - 46. Calculate g(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(6*g - 3*g - 2*g)*(-5*g + 114*g**4 - 121*g**4 + 2*g).\nAnswer: 14*g**5 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*u**6 - 1702745*u**4 - 62912*u**2 + 11*u + 4?\nAnswer: 360*u**3 - 40865880*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 27\/2 of a millisecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 73040?\nAnswer: 73040.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 775*d**3*n**2 - 35*d**3 + 4*d**2*n - 852 wrt n.\nAnswer: 1550*d**3*n + 4*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 205 = 5*x - 5*b, -4*x + 5*b = -158. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, -1, -324, -16, 5 in increasing order.\nAnswer: -324, -16, -1, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-32)*((-56)\/3)\/(-14)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 326 - 322. Solve 3*w = -f*j - 5, 4*j - j + 9 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 3741282.\nAnswer: -2\/1870641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136 - 44. Let n = j - 92.7. Let z = 20\/7 + -46\/21. Which is smaller: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x - 5*x + 93 + 94 - 187.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1871990 by 14290.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -405 + 30?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -305.246348 to zero dps.\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.4 + -5. Let t = -25 - -25. Let j = t - g. Put -5, j, 2\/11 in descending order.\nAnswer: 2\/11, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 7716.\nAnswer: 15432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 1752.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225868 is divided by 56460?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 11. Let b = 14 - w. Let s(m) = 53*m - 1302. Let t be s(25). Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/(-550))\/(-1))\/(1\/(-5))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 13. Suppose 0 = 5*u - 3*g + 9 - 47, 5*g + 40 = 5*u. Let q be c(u). Suppose k = q - 1. Solve 12 = -b + 3*f, 5*f - 31 = 3*b - k*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtq when three letters picked without replacement from ttqqttttttttqqtttttt.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u + 3812. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149467 is divided by 4666.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/28 - (1 - -3))*(66 + -73).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) 6 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-9 + 12 - (1 + -1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 361766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 1. Let t be z(-4). Suppose t*k = -5*h + 6, k - 6 = -h - 2*h. Suppose -h*j = -2*j - 18. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1095, 1058, 995, 906?\n\"Answer: -13*q**2 + 2*q + 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*y + 182, -3*w - 61 = -y + w. Calculate the remainder when y is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -8*u - 214. Determine d(-24).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1\/15 (c) 5 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64\/87 + -2\/29. Let m(f) = -f. Let w be m(-4). Suppose 0 - k**5 + 2\/3*k**2 - l*k**w + 0*k + k**3 = 0. What is k?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1201524*t - 952095 wrt t?\nAnswer: 1201524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l*y - 45024*l + 2247*y with respect to y.\nAnswer: l + 2247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u - 1. Let w(m) = 7*m. Let v(y) = 3*o(y) + 2*w(y). Give v(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -5 + 18 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1023*f**2. Let y(p) = -2*p**2. Calculate k(y(j)).\nAnswer: 4092*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50975.55 weeks in milliseconds?\nAnswer: 30830012640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11086 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 + x**2 + 21*x - 19. Let u be g(6). Calculate the greatest common factor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 127*p - 3324. What is the common denominator of -5\/7 and v(91)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.09, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6555, 12975, 19237, 25341, 31287, 37075?\n\"Answer: -79*v**2 + 6657*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -489 - -485. Let f(c) = 8*c**2 + 78*c - 1518. Let o(d) = -5*d**2 - 78*d + 1519. Let y(j) = p*f(j) - 6*o(j). What is l in y(l) = 0?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 9*j - 4. Let z be o(8). Let h(c) = 2*c**2 - 23*c - 9. Let r be h(12). Sort -1, -18, z, r in decreasing order.\nAnswer: z, r, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 - 2*n**2 + 6*n**2)*(4384*n**3 - 2202*n**3 - 2197*n**3 + 10*n**2).\nAnswer: -15*n**5 + 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*l = 149, -4*x - 4*l = -0*x - 348. Find the third derivative of -42*b**2 - 82*b**3 + 19*b**5 + x*b**3 wrt b.\nAnswer: 1140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -127034, -127035, -127036, -127037, -127038?\n\"Answer: -t - 127033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**4\/24 + v**3\/3 + 7*v**2. Is w(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 119*f**6\/15 - 763*f**4\/2 + f**2 - 1450*f. Find the second derivative of p(v) wrt v.\nAnswer: 5712*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 10. Let d be (2 + (1 - (-4)\/(-2)))\/(-1). What is the remainder when z is divided by 3\/((-108)\/(-690)) - d\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 1201?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330876.\nAnswer: 2, 3, 7, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -837, -1692, -2537, -3372?\n\"Answer: 5*s**2 - 870*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -191, -188, -185, -182, -179, -176?\n\"Answer: 3*z - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5*r + 3. Suppose f + 2*q + 1 = 0, -r*f - 3*q = q + 1. Let y be 1\/((-2)\/(-3)*-9). Is f < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w. Suppose 0 = -86*j - 31*j. Let p(l) be the second derivative of -1\/2*l**3 - 11*l + j*l**2 + 0. Determine i(p(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68.8626 + -0.0626. Let k = 2.3 - y. Let i = -57 - k. Round i to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 38?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/(-16*(-10)\/800)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144170*t**2 + 31162*t**2 - 26198*t**2.\nAnswer: 149134*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 1, a: 4, b: 2, t: 1}. What is prob of sequence aa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 9:28 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 3*b + 3, -3 = -2*q + 17*b - 18*b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 1 = -9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*i - 18*i = 108775. List the prime factors of i.\nAnswer: 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*y**3 + 14 - 16 - y**4 + y + 22*y**3 - 15*y**2 + 96*y**2 to d*y + n*y**4 + c*y**2 + f + s*y**3 and give c.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -3\/2, 0.3, -0.3, 0.06.\nAnswer: -3\/2, -0.3, 0.06, 2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 5 - 3. Let d be p\/((-3)\/171*-3). Factor d*n + 18*n + 3*n**3 - 40*n.\nAnswer: 3*n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*w + 14 + 872*w - 13 - 2*w**2.\nAnswer: -2*w**2 + 678*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 5*s + 75, -1495*s - 4*r + 36 = -1499*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*z + 13 + 9 = 0, 4*t - 47 = -z. Calculate the highest common factor of t and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.62 to 0 decimal places.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 0*x**2 - x**2 - 2*x**4)*(3*x + 0*x - 2*x) - 268*x**5 + 44795 - 44795 + (5*x + x - 2*x)*(0*x**4 + 4*x**4 - 2*x**4) + x**5 + 3*x**3 - 3*x**3.\nAnswer: -261*x**5 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17813\/57 or 314?\nAnswer: 17813\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -586 bigger than -586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -20*r**2 + 9*r + 23. Give g(-3).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 137*m - 2. Let f be n(4). Let d be ((-6)\/(-4))\/(f\/184 - 3). Let g = -44 - d. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -5 (c) 2\/7 (d) 9 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 + t**2 + 8*t**2.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 18653791.\nAnswer: 5\/18653791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from ylllldgjd.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 = -3*i, -i - 2*z + 0 = 1. Let o = 130 - 648\/5. Which is the second smallest value? (a) o (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 31, -57, -211, -449, -789?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660 (base 7) in base 13?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 2*c**2 - 3*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 363871764 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33382595\/342 + -97610. Find the common denominator of r and -39\/1216.\nAnswer: 10944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 + 11*c + 12. Let k be o(-8). Let h be 3\/((18\/k)\/3). Suppose 1 = -d - p + 27, 5*d = -p + h. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13516765?\nAnswer: 5, 151, 17903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*q + 248 = 0, 2*m + 3*q = 3*m - 54. Suppose m = 5*x + 4*t, 2*x = -x - t + 36. List the prime factors of 36\/(0 + 8\/x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-480)\/300 + 1745\/1075\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16264 divided by -38\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -5 (c) 1784.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1328 = -2*p - 1060. What are the prime factors of p?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -232 + 451?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**3 - 4*g**2 + 2. Let k(l) be the second derivative of -l**5\/2 + 3*l**4\/4 - 5*l**2\/2 + 30*l + 3. Calculate 4*k(j) + 9*v(j).\nAnswer: 5*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.03 - 0.03. Let q = p - 33. Let v = -146\/111 + -2\/111. What is the third biggest value in v, q, -1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3523639 * -2\nAnswer: -7047278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1470700?\nAnswer: 2, 5, 7, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 + 151. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -18*o - 6. Let t(w) be the third derivative of -11*w**5\/30 - w**2 + 1368. Give t(u(x)).\nAnswer: -7128*x**2 - 4752*x - 792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 420 and 135.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/6)\/(12\/(-126)). Let o be 2\/(4 - (-246)\/(-63)). What is the highest common factor of o and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 6*v - 5. Let g be t(11). Let y = 55 - g. Let c(b) = -5*b + 25. Let w be c(y). Solve -4 = 2*n - w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, i: 18}. Give prob of sequence iiww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + 4 + (sqrt(605) - (-4*sqrt(605) + sqrt(605))) + -5*sqrt(605)*-5) + 3)**2.\nAnswer: 17226*sqrt(5) + 4579326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92957 = -8*m + 13*m - 2*a, 5*m = 3*a + 92958. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 602 + -458. Calculate the remainder when n is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 2*j - 2*j)*(136*j**3 + 45*j**3 - 50*j**3) to the form m*j**3 + n*j + y + p*j**2 + r*j**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - k - 3. Let r be l(2). Let y be (6\/(-30))\/(r\/(-15)). Let f(b) = 4*b**3 + b**2 - 1. Give f(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 13, -0.3, 1\/2, 82, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 1 + 28 = 0. What is the units digit of -5 + (-1 - g) + 145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17257832 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14 + -4 + -6 + 3052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-1 - (3 + -2)). Let g be (-2)\/(j\/3) - -130. Calculate the greatest common divisor of 19 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 2*s**2 - 5*s. What is h(-4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*n = -260*n + 67*n - 211*n - 13860 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -201950 by 577.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 34376 + 0.059\nAnswer: 34376.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -2\/9*q**4 + 1\/6*q**2 + 1\/9*q**3 + 2 + q. Let h(g) be the first derivative of b(g). Determine i, given that h(i) = 0.\nAnswer: -1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 7) in base 10?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(-6*2\/9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -23051344253?\nAnswer: 23051344301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 6 + 53 = 3*j, j + 2*t = 16. Calculate the lowest common multiple of 4 and (j\/(-21))\/((-1)\/42).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**3 - 2344*h**2 - 2348*h = 0. What is h?\nAnswer: -1, 0, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8306435 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13494*k - 3680 = -13586*k for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -57, -87?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 287\/(-5)*((-215070)\/1407)\/107?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2051 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*z**2 - 330*z**2 + 165*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79.72 + -81. Let i = 0.28 + v. Which is the closest to -0.3? (a) -1\/3 (b) i (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4429443, 8858890, 13288327, 17717754?\nAnswer: 22147171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*i + 968. Suppose 4*s - i = 51. Calculate the remainder when s is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 - 102*i**2 - 182*i + 159. Is u(-76) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*23.1\nAnswer: 69.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 432 - -122012?\nAnswer: 122444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 11:41 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2707.872 less than -0.4?\nAnswer: -2708.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4180 and 0.1?\nAnswer: 4179.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -5, 2\/5, 238.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 13. Let d = h + 16. Suppose -2*t - d = 3*v - 3, 6 = 4*t - v. Let g(i) = -5*i**2 + i. Determine g(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 144 - 42. Let n be k\/((-7)\/((-7)\/2)). Let s = n + -47. Solve 0*j = -j + 5*g, -21 = 5*j - s*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + -1.5. Let x = -142\/11 + 448\/33. Which is the closest to -1\/5? (a) x (b) l (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25697\/23 - -1117. Suppose -226*m - 72 = -230*m. Suppose m = -3*g - 5*y, -8 = 2*g - 0*y + 2*y. Is b at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*v - 389*g**2 - 7*g*v + 137379*v - 375 wrt v.\nAnswer: -g**2 - 7*g + 137379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(((-112)\/16)\/1449)\/((-1)\/(-6)). Solve -o*p**2 + 20\/23*p - 32\/23 = 0 for p.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-57) - 14490\/1330?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 2*u**2 + 2*u**2)*(-4*u + 20 - 20) - 3*u**2 + 3*u**2 - 5*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -35*x**4\/24 + 2*x**3\/3 + 314*x**2. Let l = -8 - -6. Let q(k) = -12*k + 1. Let y(t) = l*c(t) + 7*q(t). Calculate y(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -7122 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -372 in -2\/11, 0.2, -2, 38, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888382017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = c + 15. Let f(o) = o**3 + 8*o**2 - o - 6. Let z be f(c). Let l = 15 - 11. Solve 0 = -6*n + z*n + l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v + 2 = -p, -5*p = 5*v - 10. Suppose -2*k - k = -p. Calculate the greatest common factor of k and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-30)*-3*2*36\/(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 35*j + 1043863 = 1045023 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 12 = -y. Let w(t) = 2*t + 28. Let q be w(0). Let v = q + -7. What is the greatest common factor of y and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i. Let g(y) = -13039*y. What is r(g(f))?\nAnswer: 13039*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 335 (base 8) to base 13\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -75735.5.\nAnswer: 75735.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52512 is divided by 26246?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-35))\/((-1)\/(-20)). Let o = 36 + 2. Let s = -38.5 + o. Sort s, -2, h in descending order.\nAnswer: s, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 9*a**2 - a + 1. Let w be z(9). Let p(v) = 8 + 8*v + v**3 - 2*v**2 + 3*v**2 + 8*v**2 + 1. What is the units digit of p(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**5 + 137*p**3 - 734*p**2 wrt p.\nAnswer: 60*p**2 + 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.007688 - -1.371231?\nAnswer: -6.636457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 54795700 rounded to the nearest ten thousand?\nAnswer: 54800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 543, 2173, 4891, 8697, 13591, 19573, 26643?\nAnswer: 34801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*d = -357. Suppose -d = -o - 50. Let w be 14\/(-4)*(-72)\/63. Put w, o, -3 in ascending order.\nAnswer: -3, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5073234757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 4 (b) 1\/3 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by 23\nAnswer: 108\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 39 = 85. Suppose -q - 8 = -g. Calculate the highest common divisor of q and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 + -8 + -7 - (-6)\/22*19. Which is the closest to -2\/3? (a) -2\/31 (b) -0.5 (c) i (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65\/6093 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -144*k + 79*k + 195. Let a(j) be the first derivative of -j**4 + 8\/9*j**k - 1\/3*j**2 + 0*j + 8\/15*j**5 - 1\/9*j**6 + 1. Factor a(v).\nAnswer: -2*v*(v - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p\/p**(-3))\/p)**28*(p*p\/(p\/p**(-5\/4)))\/(p*p\/p**0) assuming p is positive.\nAnswer: p**(551\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 110 + 42535?\nAnswer: 42645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71427829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21942 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15835533 to the power of 1\/3, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3797, -7446, -11109, -14792, -18501, -22242, -26021, -29844?\n\"Answer: -t**3 - t**2 - 3639*t - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 37\/2, 6, 1\/4?\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/90 and 67\/498100?\nAnswer: 4482900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 26*d = 23*d + 95, -2*a = -d + 37. Let j(c) = c**2 + 15*c - 11. Give j(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/991738 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*r + 8*l - 68, 2*r - 119 + 110 = 3*l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*x - 108 = -2997, -2*x = 8. Calculate the greatest common divisor of 249 and i.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s - 27424 = -8*s. Is s <= -1715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a - 17. Let w be o(-7). Suppose -4*p + 24 = -s, 5*p - w*s - 23 = -s. Suppose 6 = p*j - 4*j. What is the biggest value in -0.2, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 192*y**4\/11 + 640*y**3\/11 + 124*y**2\/11 - 194*y\/11 + 30\/11 = 0. Calculate y.\nAnswer: -3, -5\/6, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5985 + 5983. Let v be (-11)\/(-9) + (-6)\/27. Let q = v + -2. Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -156? (a) 0.8 (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v, 3*g - v - 22 + 103 = 0. Let n(i) = -4*i + 1. Let d be n(-1). Suppose 4*w - d*t = -124, 15 = w - 5*t + 61. Is g > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80.9 - 0.77\nAnswer: -81.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3031010 (base 4) in base 7?\nAnswer: -53156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**2 + 0*y**3 + 1\/24*y**4 + 0 + 0*y. Let t(b) be the second derivative of 10*b**3\/3 - 9972*b. Determine d(t(i)).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - i**3 + i**3)*(-i**2 + 0*i + 0*i) + (8*i - 9*i - 7*i)*(-15*i**3 + 15*i**3 - 18*i**4) + 25*i**4 + 7*i**5 - 25*i**4.\nAnswer: 153*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 93566 at most 1029236\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*g + 2*w + 5, 24 = 4*g - 3*w. Let p = g + 6. Calculate the remainder when ((-12)\/18)\/((-1)\/69) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/17))\/(j**(4\/21)\/j) assuming j is positive.\nAnswer: j**(667\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -12 (b) -83 (c) -0.1 (d) -3\/4 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2 + 3*h + 0 + h**2 + 4*h - 2*h. Let u be t(-5). Let g be (-57)\/(u + (-185)\/100). What is g rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2348 + 3*x**2 + 3*x**2 - 1180 - 1172. Let g(p) = 18*p. What is g(z(h))?\nAnswer: 108*h**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/((12\/4)\/(-18))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 101000011010110 (base 2) to base 15\nAnswer: 61e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 861384 and 456?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*n**3 + 2*n*r**2 + 9*n + 27602*r**2 with respect to n.\nAnswer: 18*n**2 + 2*r**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -341*q + 4656 - 12158 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z = 5*v - 20, -5*v + 4*z + 47 = 0. Sort v, -4, 4 in decreasing order.\nAnswer: v, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1695868*j**3 + 793137*j**2 - j - 1.\nAnswer: -10175208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/33 and 125\/114.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22793.214 months in decades?\nAnswer: 189.94345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 7*f**2 + f - 1. Let i be q(7). Suppose i*r = 2*r + 8. Solve 6*x**4 - x**5 - x**3 - 5*x**3 + r*x**2 - x**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 121*p - 344. Let n be f(3). Solve -n + 24 = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 10*d - 9. Let x be t(-7). Suppose -b = -x - 21. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -662, -651, -632, -605, -570, -527?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 93042219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2*o**3 + 3369813*d**2 - 1029*d*o**3 + 14*d*o**2 + 10472*o**3 wrt o?\nAnswer: -6*d**2 - 6174*d + 62832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 - 30*n**2 - 156*n - 168 = 0. What is n?\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q - 24. Let r be w(-5). Suppose 0 = -2*k - 4*v + r, -3*k - v + 4 = -5*v. Solve 3*b = 3*a - 3, 4*a - 10 = -b + k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 11*d. Solve -2*t + 1 = 2*a - 3, 5*t - a + 14 = d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - b. Let n be v(-1). Factor f + 46*f**n - 2 - 44*f**2 - f.\nAnswer: 2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 117*m - 75. Calculate the remainder when 2057 is divided by n(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -11*y - 19. Let c be g(-5). Let l = c - -261. What is the smallest common multiple of l\/15 - 1\/(-5) and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (9 - 1) + 6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*(-61)\/((-20801)\/310).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 3)*1*-3. Suppose 3*y + 5*x - a = -y, 6 = 5*y + 4*x. Find the second derivative of 4*z + 2*z**2 - 4*z**y - z wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 1, -7, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13078*l**2 - 13*l - 7 wrt l.\nAnswer: 26156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 1:07 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8664821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 14 = -f, -2*f = -2*o - 7*f + 16. Let t = 8 + -4. Let k be t\/((-36)\/1)*-159. Is k at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*v - 12*v + 10*v - 3*v to t*v + z and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 12*z + 8. Let h be o(8). Calculate the highest common factor of h and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6905, -13644, -20383, -27122, -33861, -40600?\n\"Answer: -6739*f - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -6, 9, 30, 57, 90?\n\"Answer: 3*n**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = 0. Let f be (-3 - (0 + -2))*k. Solve 0 = -f*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728363 is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000175575395 rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/8)\/((-5)\/(-12)). Let h be (-1582)\/9040 + (-2)\/(60\/(-9)). Let d = -4 - -3. Which is the nearest to 2? (a) g (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -34, -2, -846699, 2 in ascending order.\nAnswer: -846699, -34, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58779723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2928, 31 in descending order.\nAnswer: 2928, 31, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 35 = 47 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 211*g - 211*g - g**2. Let r(x) = -10 - 7 + 11*x + 28 - 12 - 38*x. Calculate r(b(t)).\nAnswer: 27*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t - 2. Let k(x) be the first derivative of -13*x**2\/2 + 5*x - 3. Let b(u) = 4*k(u) + 10*r(u). Let o(a) = 2*a**2. Determine o(b(p)).\nAnswer: 128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1388*n**4\/3 + 2300*n**3 - 3964*n**2\/3 - 4204*n - 120 = 0. Calculate n.\nAnswer: -1, -10\/347, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 187 + -107. Let s be 2 + (-168)\/u + 6\/10. Suppose -5*g - 20 = -5*d, -7*g + 3*g + 3*d - 12 = 0. What is the biggest value in s, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1782 (b) 1 (c) -0.79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.51 - -231.49. Let d = 553 - n. Is -0.2 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - 2) + -1*3. Let r(p) = -p**3 + 2*p**2 + 4*p + 1. Let j be r(g). Suppose -4*w - 5 = -j*y + 11, -4*w - y = -4. Which is greater: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 30*g + 56. Which is the third biggest value? (a) g (b) -239 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 10. Let i = -122 + 106. What is the tens digit of i\/(-80) + (-1209)\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -34. Let m = h - -33. What is the second derivative of -91*z**3 - 13*z + 134*z**3 - m*z - 10*z wrt z?\nAnswer: 258*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7290 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169696\/483 + -1054\/3. Let p = b + -11\/276. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.134484768 rounded to 4 decimal places?\nAnswer: -0.1345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 143518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1561589697 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1919931 less than -1919953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**5\/20 + 8*p**2. Let r(h) = -5*h**2. What is r(s(v))?\nAnswer: -45*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1397, 3077, 5061, 7349, 9941?\n\"Answer: 152*q**2 + 1224*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -518*t**4 + 4*t - 27 wrt t?\nAnswer: -6216*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46282 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2662648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -12 - (14715\/(-1050) + 5)?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + d11c3a?\nAnswer: d11c37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and 12.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*l**3 + 72*l**3 + 65*l**3 + 76*l**3 + 72*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -306 + 306.3. What is the second biggest value in 5, 61, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5215 - -5214.6. Which is the closest to 0.1? (a) -3 (b) g (c) -331\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 85, 216, 399, 634, 921, 1260?\nAnswer: 1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 53*q + 37. Let c be d(-1). Let s be c + 20 - (25 - 2)*-1. Solve -15 + s = 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from eeoeeeeeeeeoeeoeoeo?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-2 - 26\/4). Let z = -10 + f. Suppose 0 = -5*a + 38 + 2. Which is smaller: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 340460900 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6)*(-186)\/(-4). Suppose 0*f = -5*w + f + p, 5*f = -4*w + 48. Let l = w - -3. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 + 16*o + 32. Let w be d(-6). Calculate the greatest common divisor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2345, 9057, 20113, 35483, 55137, 79045?\nAnswer: 107177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 9*j**2 + 6*j + 21. Let r be c(-8). Solve -3*k - r = -5*y, y - 2 + 1 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*d**2 + 516*d**2 - 167*d**2 - 171*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 152 - 75 - c - 74. Calculate o(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -824295\nAnswer: 2\/274765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/100*(26\/(-36) - -1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*g + 2*o + 3, -g + 27 = -4*o. Let a = 12 - g. Suppose -i = -a*n + 18, -5*n + 28 + 2 = -5*i. Let r(d) = -d**3 - 3*d**2 - 2. Give r(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8992*g + 378*g - 2522*g = -887*g + 163984 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 2*v + 3. Suppose -2*c = -4, 5 = -3*f + 4*f + c. Give o(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 39308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9360182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22621530 + 0\nAnswer: 22621530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.139485 times -1.43?\nAnswer: -0.19946355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 s, and 2 p when four letters picked without replacement from {f: 5, p: 3, y: 1, s: 2, z: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074614 to the power of 1\/2, to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 11*h**3 - 25*h**2 + 22*h - 45. Let j(o) = 4*o**3 - 8*o**2 + 7*o - 14. Let l(i) = -3*a(i) + 8*j(i). Determine l(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) -130 (c) -0.3 (d) 210 (e) -6\/5 (f) 0.2 (g) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/9)\/((-8786)\/1035 + 9 + 4\/(-10)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -154*q + 2. Suppose 5*k = -5*t + 105, -5*k + 6*t - t = -125. Let x(c) = -4*c - 9*c + k*c - 8*c. Give x(f(j)).\nAnswer: -308*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + s + 18921 = 0, 14*n - 5*s = 16*n - 37856. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40262176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -14) + (5 - (-9 + 19)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(66)*1*-1*2)\/(sqrt(42)\/(sqrt(7) + (sqrt(126)\/sqrt(2))\/sqrt(9))*-2).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*v + v - 4*v)*(-1 - v + 1) - v**2 + 2*v**2 + v**2 - 2*v**2 - v**2 + 0*v**2 - 1878 + 70*v**2 + 1878)*(-2 + 5 - 2) to o*v + a + i*v**2 and give i.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 - 21*o**2 - 19*o - 90. Let h be p(-10). Suppose 5*z + 8 = z. Which is the smallest value? (a) 0.5 (b) -3\/5 (c) z (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28671468*c + 14335706*c + 14335761*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 1856?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6518 - 6517.89971. Round i to 3 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i = 0. Suppose -3*s = 5*k - 11, -5*k + s + 2 + 1 = i. Suppose -3*d + k = 13, -3*n + 3*d = -63. What is the remainder when 33 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -677 + 677. Let g = -5\/21 - 3\/7. Let q = 0.4 + -0.3. Which is the nearest to g? (a) l (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2, -24, -2\/17, -4 in ascending order.\nAnswer: -24, -4, -2\/17, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 7 = s. Let y = 24 - 21. Suppose y*q = 4*q - s. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -257abed?\nAnswer: -257abf1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + w - w + (-3*w - w + 7*w)*(3*w**2 + 2*w**2 - 3*w**2) + 51804 - 51804 - 2*w - 1769*w**3.\nAnswer: -1764*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4251 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 226\/375 + 8\/125. Let q = 923.11 - 916. Let s = q - 7. Which is the smallest value? (a) 0 (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1202 or -2?\nAnswer: -1202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((92\/69)\/(2\/9))\/((-23)\/(-161)). Solve 120 - b = 13*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 539277 and 342?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m = -26*m + 20. Let i(v) = v**2 + 3*v - 4. Determine i(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**3\/5 + 84*n**2 + 11760*n + 548800 = 0.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**5\/60 - a**4\/12 - 2*a**3 + 11*a**2\/2 + 2*a. Let c(h) be the first derivative of w(h). What is the units digit of c(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.878 in -2\/17, -2\/9, 5, -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 24646066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780 is divided by 194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 3, -2358, -4 in descending order.\nAnswer: 3, 1, -4, -5, -2358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -281\/2 + 140. Put 3, 3\/4, s, -4 in decreasing order.\nAnswer: 3, 3\/4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10144 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, -527, -0.06 in descending order.\nAnswer: 0.5, -0.06, -2, -527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 140\/(-54) - (-7)\/((-63)\/(-12)) and -70\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 2 - 2)*(-4*r + 3*r + 3*r) to n*r**2 + k*r + z and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 16, -5*b + 0*b = 2*m - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ncsjnnscnsnnchccc.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 14*u + 2064 = -o, o = 3*u - 1549. Does 66 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382 = 14*h - 91*h + 542 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8666892 smaller than 43334467\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149213857.\nAnswer: 13, 23, 79, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - v + 7*v. Which is greater: -3\/34 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23113.9996244 + 23114. Round o to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -304 + -208. Let u = -512.349 - m. Let g = u + 0.348737. Round g to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 222221220?\nAnswer: 222222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2417, -2281, -2051, -1679, -1117, -317, 769?\nAnswer: 2189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174630 and 838224?\nAnswer: 4191120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/((-36)\/(-36))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 402695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, v: 2}. Give prob of picking 2 o and 2 v.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18088720*g + 24626600.\nAnswer: -18088720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.452 - -197394233.\nAnswer: 197394231.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (3 - 0 - -6)*(-9 - -8).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -0.115, -2?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21698564821 minus 177?\nAnswer: 21698564644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 - 11*v**3 + 105.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 - -0.3. Let c = 267143 + -267163.1. Are c and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-288))\/(143\/(-3432))*(32\/(-3))\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 + 208 = 10*p. What is the lowest common multiple of p and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d - 3 - 21. Let w be ((-19)\/(-76))\/(d\/(-32)). Solve -3 - 5 = -w*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 254 and 27925903?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 255 = -4*u + 308, -4*x + 4*u - 76 = 0 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 2*j**2 - 3*j**2)*(3 - 3 + 1 + 2*j)*(-2*j + 0*j + 0*j).\nAnswer: 12*j**4 + 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*((sqrt(637) + 1)**2 - sqrt(637)) + (6*(-1 + sqrt(637)))**2 - (2 + (sqrt(91) - 4*sqrt(91)*-1)\/(4*sqrt(112))).\nAnswer: -7509*sqrt(13)\/16 + 26160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 2*x - 278. Let t = -74 + x. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*l - 2*q = 256*l + 3, 33 = 5*l - 2*q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/18 and 109\/121296?\nAnswer: 363888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/2 + -17\/6. Let k = -107.49 + 107. Let w = k + -0.51. Is w less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 4743302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**42*k)**(-1\/11) assuming k is positive.\nAnswer: k**(-43\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4411*b + 4739*b + 2624 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(-3*i - 2*i + 4*i) + 4*i - 4*i - i + (-6 + 1 + 3)*(0*i - 3*i + 5*i) - 2*i - i + 2*i + i - i - 2*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + o**2 - o - 1. Let t be m(-1). Suppose 4 = t*n, 2*h - 15 - 3 = -3*n. Calculate the greatest common divisor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, p: 10}. Give prob of picking 1 p and 3 u.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/2 + 2. What is the nearest to o in 1, -5\/3, 4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujtrr. Give prob of sequence ur.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 1. Let s be o(3). Suppose -137 = -2*t - 3*p, 0*t - 2*p = -t + 86. Suppose 3*h = -h + t. Solve -3*v = -h + s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a8 - 4?\nAnswer: -2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 34104.79mg?\nAnswer: 34.10479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8737 is divided by 2907?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28769 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28338.47 years in decades?\nAnswer: 2833.847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14837, 14838, 14839?\n\"Answer: n + 14836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 15*o**2 + 31*o + 41. Give n(12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.9 + 5. Suppose -4*k - 24 = 24. Let h be ((-8)\/k)\/(4\/6). Which is the nearest to u? (a) h (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, y: 1, x: 3, a: 2, n: 1, d: 8}. Give prob of sequence xd.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w. Let o(t) = -t**2 - 9538. Give o(y(k)).\nAnswer: -9*k**2 - 9538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -4*u + 24, -5*n + 16 = -2*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -15. Let m be ((-10)\/r + 2)*6. Calculate the greatest common divisor of 5 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33 + 85619?\nAnswer: 85596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57650 + -14008952\/243. Suppose 0 = 3*m + 2*p - 15, -3*m - m + 3*p + 20 = 0. Let r(n) = n**2 - 6*n + 6. Let i be r(m). Which is bigger: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 380.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 595721 (base 12) in base 4?\nAnswer: 11133223021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -1.3. Let l be 35 + -21 - (-1 - -3). Let h be (-10)\/l + (-5)\/(-10). Put -0.1, w, h in decreasing order.\nAnswer: -0.1, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2362071 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -166 + 5?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 3. Let n be m(0). What is the lowest common multiple of 3 and -9*n*2\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**12)\/(r\/r**(-2)*r))\/(((r\/r**(-2\/25))\/r*r)\/r**(-4\/13)) assuming r is positive.\nAnswer: r**(-5326\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 746120881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/7))**(-4\/29)*n**9\/((n**(1\/2)\/n*n)\/n) assuming n is positive.\nAnswer: n**(3833\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*h*m**2 - 11756*d**3*m**3 + 2*d**2*h**2*m**3 - 60*h**2*m + 5*m**2 wrt m.\nAnswer: -70536*d**3 + 12*d**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 396935887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8657 - 6161. Suppose 0 = -3*n - 2*w + 1491 + 381, 4*n - z = w. Suppose n = 9*r + 4*r. What is the remainder when 140 is divided by r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2441112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v + 1. Let a(x) = x**2 + 34*x - 5. Let h(n) = 2*n**3 - 5*n**2 + n + 4. Let g be h(-2). Let s be a(g). Let l(d) = d. What is s*l(w) - m(w)?\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, m: 3, n: 4}. Give prob of sequence wm.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -69*s**2. Let p(f) be the second derivative of 0*f**3 - 1\/12*f**4 + 0 + 0*f**2 - 6*f. Determine p(r(b)).\nAnswer: -4761*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -214.00135758 + 22.00134368. Let o = r - -192. Round o to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/((-13)\/(-6) - 2). Let 3*f**u + 0*f**3 + 23*f**2 - 47*f**2 + 21*f**2 = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12494461 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.038, -62\/55, -1\/2 in ascending order.\nAnswer: -62\/55, -1\/2, 0.038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93831, -93468, -93103, -92736, -92367, -91996?\nAnswer: -91623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynynuernoounryoe. Give prob of sequence yu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2372*v + 2369*v - 7116*v + 2375*v - 18302*v**2.\nAnswer: -18302*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -128, -135, -144, -155, -168, -183?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3024)\/(-144))\/(((-315)\/165)\/(18\/(-2)))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 3, 22.022, -5.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/8 + (-6)\/(-3240)*485. Let f(t) be the second derivative of 1\/27*t**4 - 3*t + 0*t**2 + r*t**3 + 0. Factor f(v).\nAnswer: 4*v*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.406338 rounded to one dp?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 7*q - 6. Let n be l(6). Suppose n*h - 2*h = 0. Suppose -39 = -h*k - 3*k. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 + 0 - 2*j**2 + 3 - j + j**4 in the form c + d*j**2 + h*j**4 + w*j**3 + u*j and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13436 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**3*q**3 + 25273*h**3*q**2 + 4*h**3*q + 4251221*h**2*q**3 + 3*h**2*q**2 - 2*h*q**2 + 4 wrt q.\nAnswer: 18*h**3 + 25507326*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c6 (base 13) to base 11.\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 3. Let c be h(-6). Suppose 49*u - 50*u + c = 0. Solve -2*p = -5*p - u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/54 and 143\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54351?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4*g + 12 = g, 3*i - g = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1111 + -101?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 10000010001101?\nAnswer: 10000010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*(-1)\/1)\/(13\/(-91897)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 7 + 1. What is the highest common divisor of 6 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02566916 rounded to four dps?\nAnswer: -0.0257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -188 + 181 - (0 + 36) - -4?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100*k = 2100*k + 72229 + 74971 for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**3 + 15*q**2 + 16*q - 3. Calculate r(-4).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1549, -6196, -13941, -24784, -38725, -55764, -75901?\nAnswer: -99136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 1. Suppose 0 = 1384*m - 1409*m + 50. Let n(t) be the second derivative of -t**5\/20 - t**3\/6 - t**2 - 2*t. Give m*p(o) - n(o).\nAnswer: o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000100000111000011 (base 2) in base 16?\nAnswer: -1c41c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -64, 5, -90, 8.\nAnswer: -90, -64, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 134731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(637))*-5 + 3 + -3 + -1)**2.\nAnswer: 70*sqrt(13) + 15926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 7:33 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4\/5 + 17624*a**3\/5 + 181392*a**2 + 10117224*a\/5 - 38989836\/5 = 0. Calculate a.\nAnswer: -27, 3, 4457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3722000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 107*k - 30624 = 0. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35508389.\nAnswer: 7, 23, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by (-1*141)\/(4 + (7 - 7 - 5))?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + (-2 - -5))\/(-2). Suppose f = -3*z + z. Solve -5*m = -z*m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8078217 or -1?\nAnswer: 8078217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -322066459 and -3.\nAnswer: 966199377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4060 and 2030?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.42 - -3.52. Let n = 59 + -58. Put z, 3, -4, n in descending order.\nAnswer: 3, n, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(567))**2 + (-3 + 3*sqrt(567))**2 - (-1 + (2*sqrt(567) + -1 - (((sqrt(567) + 1)*-1 - sqrt(567)) + sqrt(567)))**2).\nAnswer: -252*sqrt(7) + 602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208065?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**2 - 5*g**2 - 4*g**2 - 11*g**2 + 26*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 3 + 17\/4*t**4 + 1\/2*t**2 + 77*t + 0*t**3. What is the first derivative of d(s) wrt s?\nAnswer: 51*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -966*m + 12 = -968*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*r = 1428 + 6285 + 982 + 1165 for r.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202010 - 10000112?\nAnswer: -1021102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 202*c - 197*c - 30, -p - 2*c = -13991. List the prime factors of p.\nAnswer: 7, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -95a7a + 19?\nAnswer: -95a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 4:45 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**2 - 243*c + 26293. Calculate r(-81).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 238\/(-952)*(-8)\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3\/2, 0, 8, 0.1, 29 in ascending order.\nAnswer: -3\/2, 0, 0.1, 8, 10, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-12\/5)))**(18\/11)*(l*l**(-25))\/((l\/l**13*l)\/l*l) assuming l is positive.\nAnswer: l**(-499\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(544) + (sqrt(544) - sqrt(544)*-1 - sqrt(544) - sqrt(544)))\/sqrt(2) - (sqrt(153)\/(sqrt(144)*-5))**2) + 1.\nAnswer: 383\/400 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3588 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38*-33*4\/(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -364*r. Let x(g) = -425*g**2 + 1. Determine s(x(v)).\nAnswer: 154700*v**2 - 364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**3 + 4*n**2 - 9*n**3 - 4*n**2.\nAnswer: -27*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14.6, 4, 2\/5?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fif. What is prob of sequence ffi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 46 = 8*k. Suppose -k*b + 3467 = -2*c + 175, 0 = -5*c + 20. Let j = -452 + b. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*x = 115, -4*x = -3*b - 6*x - 69. Let z be 1 - (30\/b + 2). Let d be (-5)\/6 + (-1)\/(-3). What is the biggest value in -2, 9, z, d?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55718*w**6 + 33087*w**2 wrt w?\nAnswer: 6686160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 0)*18\/(-4). Suppose -25 + r = 4*x. Let l be ((-1)\/(-18))\/((-1)\/x). Which is greater: l or 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9\/10 of a millisecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -69, -76, -95, -132, -193, -284, -411?\n\"Answer: -i**3 - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1728 and 40320.\nAnswer: 120960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 q when four letters picked without replacement from {q: 2, x: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15738 + 15883. Calculate the remainder when 1036 is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 + 0*t + 0*t + (-3*t + 2*t + 2*t)*(-2*t**4 + t**2 - t**2) + 5*t**5 - 6*t**5 + 9*t**5.\nAnswer: 7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3 - 8306*l**2 + 165278*l + 173586 = 0. What is l?\nAnswer: -1, 21, 4133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254974, 254978, 254984, 254992, 255002, 255014?\nAnswer: 255028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 87886, 87176, 86466, 85756, 85046, 84336?\n\"Answer: -710*w + 88596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.5 - 1.5. Suppose -17 = -0*t + t. Let r = -79\/5 - t. Which is the nearest to -1\/2? (a) r (b) 6 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64594*k - 64312*k - 9306 = 0 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -211 - -231. Suppose 167 = 7*k + u. Calculate the remainder when 167 is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27752184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 8:58 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 0*i - 5*n = 7, 5*i = -n - 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 3 + 6 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 54*m - 17. Let h(g) = 61*g - 18. Calculate -6*h(b) + 7*z(b).\nAnswer: 12*b - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19047169 and 76188676?\nAnswer: 76188676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = a + 3*q, -3*q - 8 = -2*a. Solve 3*w + 10 = m, -a = -m - 5*w - 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*x - k, x + 7 = 4*x - 2*k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6 = -2*v. Let y be -12 + 812\/68 + (-3420)\/(-340) + -14. Which is the nearest to v? (a) 0.5 (b) y (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 0.2, -1\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -418089439814 and 1.\nAnswer: -418089439813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 463 = -j, g + 665 = 5*j - 1698. Let n = 475 - j. Solve 0 = n*o - 4*c - 5, 8*o - c = 3*o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 101, 103?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s + 1. Let d(o) = -o - 1. Let u(q) = 2*d(q) - j(q). Let l(h) = -h**3 - 5*h**2 + 6*h + 3. Let x be l(-6). Suppose g + x*g = 8. Calculate u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = z - 10, j = -3*j - 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61696 and 37837.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 6 - 14. Let b(r) be the second derivative of r**5\/120 - 5*r**4\/24 - 5*r**3\/3 - 2*r. Let a(z) be the second derivative of b(z). Determine a(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12558 = 301*j - 10619. What is the highest common divisor of j and 18018?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.56 - 122.44. Let p = -1111.7 + 1210. Let v = j + p. Round v to zero dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*h - 5*l, -3*l = -h - h - 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8021544 and 18?\nAnswer: 24064632","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**3 + 222*n**2 + 3*n - 541. Let o(d) = 10*d**3 - 665*d**2 - 11*d + 1628. Let l(q) = -2*o(q) - 7*y(q). Find the second derivative of l(u) wrt u.\nAnswer: 6*u - 448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030812236 to 7 decimal places.\nAnswer: -0.0003081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.032 - 4.968. Let l = 2 + -7\/4. Which is the second smallest value? (a) l (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -77105e - 2?\nAnswer: -771061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*w = 20, 5*d - 4*w + 2 + 6 = 0. Let v be 56*(-7500)\/(d + 1). What is v rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**3 - 895*t**2 + 5855*t + 878. Determine h(217).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21\/15 + -2)*-5. Suppose u*w = -2*t + 13, t - 15 = -t - 5*w. Suppose 55 = t*p - 3*d, p - 5 = -d + 6. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from yxyyyx.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2))**4)**(1\/19) assuming w is positive.\nAnswer: w**(2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*w + 379*w + 128*w + 17.\nAnswer: 477*w + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3864 - 1858. Let g be 1*48003*5\/120. Let w = g - q. What is the common denominator of -22 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + (26 - (17 - 1)) - (-3 + 2 + 5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 189 = 5*p, 28*x + 80 = -27*x + 83*x - 24*x - 2*p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z - 100. Determine r(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z + 1. Let i(k) = 170*k**2 + 12*k - 131. Let u(x) = -i(x) + 4*y(x). Find the first derivative of u(d) wrt d.\nAnswer: -340*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-744)\/84 - (2 - (7 - -3))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 758, 1523, 2302, 3101, 3926?\n\"Answer: s**3 + s**2 + 755*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254901 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: What is the ten thousands digit of 203976?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75000 and 5052?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwqat. Give prob of sequence aw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1720515+22\nAnswer: 1720537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116525*l**3 + 1582*l**2 - 3*l wrt l?\nAnswer: -699150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*s - 0*s. Suppose -4*j - 59 + 247 = 5*y, 0 = -s*y + 2*j + 206. Suppose 0 = 3*g + 9, 5*u - 8*g - y = -3*g. Let q(v) = v - 3. Calculate q(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -5, -8, 4 in increasing order.\nAnswer: -8, -5, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7949535 is divided by 794953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27221022.\nAnswer: 2, 3, 113, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2 - 2 - 1)*(0*p + 0*p - 4*p + 2*p + 2*p - p + (-3 + 3 + 1)*(-p - 2 + 2) - p - 2*p + 2*p).\nAnswer: -3*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*a + 3*c, 3*c + 10 + 8 = 4*a. Suppose 2*y + 368 = a*y. Suppose 2*x = 4*z - 62, y = -3*z + 7*z + 4*x. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 552 + 1344 = 0. Let z = -628 - b. Factor 2\/5 - 3\/10*v**z + 1\/10*v**5 + 11\/10*v**2 - 6\/5*v - 1\/10*v**3.\nAnswer: (v - 2)*(v - 1)**3*(v + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8076202 and -8076202 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -36*k + 616. Let o be n(17). Let m(t) be the third derivative of 15\/2*t**3 + 0*t + 1\/3*t**5 + 35\/16*t**o + 1\/48*t**6 + 0 + 12*t**2. Factor m(h).\nAnswer: 5*(h + 2)*(h + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + 6*k - 9. Let o(j) = j**2 - 3*j + 4. Let n be (-1 + (2 - 4))*3. Let l = 14 + n. Let r(b) = l*o(b) + 2*p(b). Calculate r(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = 17 + 8 - 35 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 403934, 807872, 1211810, 1615748, 2019686?\n\"Answer: 403938*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/12)\/((-2)\/9). Let k be l\/(((-60)\/16)\/(-5)). Solve k*b + 21 = x, -3*b + 0*x = -5*x + 37 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 8:39 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8*l = -1320. Suppose 11906*m - 12025*m = -10829. Calculate the remainder when l is divided by m.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*l - 6. Suppose 0 = -l*o + 1 + 3. Solve 3 = o*h - 3*u - 1, -3*h + u - 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26, 77, 114, 131, 122?\n\"Answer: -l**3 - l**2 + 61*l - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -6) + -13 - 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(110) - (sqrt(110) - -3*-4*sqrt(110)))\/(-4*sqrt(90)*2*2).\nAnswer: -17*sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:37 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + sqrt(56)\/(sqrt(8) + sqrt(8)*2*-5))**2.\nAnswer: -8*sqrt(7)\/9 + 1222\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3*((sqrt(11) + sqrt(55)\/sqrt(5) - sqrt(11))*-1 + -2))**2)*2.\nAnswer: 72*sqrt(11) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from rsmgsmsgmg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**4*w - 7*i**4 + 170960*i**3*w + 3*i**2*w + i**2 - i - 34418*w + 71 wrt i?\nAnswer: -96*i*w - 168*i + 1025760*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 10. Let r be l(-5). Let t = -25 - r. Let w = 54 + -69. Is w >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3 + 170*o**2 + 3526*o - 3698 = 0.\nAnswer: -43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + -5 + -1 + sqrt(7))**2*-2 + 4.\nAnswer: -211 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -76, 1, -5, -2\/3, 2\/225 in decreasing order.\nAnswer: 61, 1, 2\/225, -2\/3, -5, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*o = 1685*o + 18260 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2 - 9*d**3 + 5*d**2 + 2*d + 0*d + 10*d**3. Let c(b) = b**3 + 2*b**2 - 2*b - 1. Let y be c(-3). What are the prime factors of p(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 41\/(-4)*(-3 - -7). Let f = t - -11. Let r be (f\/(-2))\/3*25. What is the highest common divisor of r and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18.535 or -0.3741?\nAnswer: -0.3741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*b**2 + 39*b**2 + 37*b**2 + 57*b**2 + 288*b**3.\nAnswer: 288*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9568 = -359*z + 267*z. Calculate the least common multiple of z and 3406.\nAnswer: 13624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + g = 0, -4*u - u + g = 0. Suppose u = -3*b - 0*h + 2*h + 10, 0 = -2*b + 5*h - 8. What is the units digit of 3\/(-1*b\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 5:41 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(147)*-1)\/sqrt(7))\/(2*sqrt(175)))**2.\nAnswer: -497\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 13*s = -3*r, 0 = -5*s + 5*r + 40 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 183216553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -60, 0.9, 0.3?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**6 + 73*i**4 + 263*i**2 wrt i?\nAnswer: -480*i**3 + 1752*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*n + 17. Suppose 5*g + r = -4, g + 0*g = 3*r - n. Let f be -1*((-10)\/(-28))\/(-5). Are g and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - m + 3. Let c = -28 - -22. Give z(c).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5073165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/5*-3*4\/(-24)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8557054.\nAnswer: 2, 11, 31, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 0. Suppose z*h + 4 + 127 = 4*t, 2*h = 10. Is (-2)\/(-2) - (1 - t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 4*n + 140 = 0. Suppose -10*f = -104 + n. Let h be (-1 + -2)*f\/(81\/(-6)). Solve m + 6 = -h*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.46 + 44171.5335.\nAnswer: 44165.0735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 30*i**2 - 99*i - 2163. Calculate a(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-60))\/(18\/(-10))*(-36)\/54*-24.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0) + -8 + (9 - (-11 - -20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4*q + 6*q = 6, -5*q - 20 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224105*u = -223993*u + 8960 for u.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - l. Let v be f(-1). Suppose 4*c = 12 - v. Calculate the smallest common multiple of c and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1787*s + 10. Let b(y) = -3*y + 3. Give 4*b(o) - u(o).\nAnswer: -1799*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/33 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*u - 4. Let g = -4 - u. Let q(w) = w + 1. Let i be q(g). Put 0, i, -0.4 in decreasing order.\nAnswer: 0, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:39 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.022306 nanoseconds?\nAnswer: 0.000009022306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v**3 + 3*v**2 + v + 1. Let g be r(-2). Let k = g + 64. Solve 3*f = 5*b + 3, -2*f - 2*b - k*b = 23 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + (((sqrt(720) - (-1 + sqrt(720)))*5)**2 - sqrt(720)) + 2*(-1 + sqrt(720)))*-5 + 2.\nAnswer: -60*sqrt(5) - 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133470 and 10929710.\nAnswer: 98367390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/16 and 47\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 9*i - 23. Suppose -5*k - 2*g = -3*g + 38, -4 = k + g. Let b be h(k). Let z = -79 + b. List the prime factors of z.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 1 - (3 + (4 - -1)). Is 4 a factor of (-9)\/(-2) - v\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -124956, -500550, -1126780, -2003646, -3131148?\n\"Answer: -125318*b**2 + 360*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2791532 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 430*q - 5752. What is n(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h + 1. Let c be q(-2). Let i = c + -5. Let m = -14 + i. Is m greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/9516 and 83\/22.\nAnswer: 104676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 v when four letters picked without replacement from movmmvvm?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 28. Let g be q(-26). Let k be 102\/g - (3 + -1)*-1. Let y = k - -90. Is y 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 5380841669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*b - 73*b + 24*b)*(-12*b + 139 + 13*b + 1) as u*b**2 + h + z*b and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -624 + -1?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzu when three letters picked without replacement from uuuuuzuozou?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.53 - 7.53. Suppose 2 = z + z. Suppose 3 + z = k. Which is the nearest to -2? (a) k (b) 1\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10894.647 rounded to the nearest 100?\nAnswer: 10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + v**2 + 119*v - 522. What is p(8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19)\/190*4\/1. Suppose t = -3*t. Is n equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -172.59 - -155.79. Put -3, 5, g in ascending order.\nAnswer: g, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 190*b - 1996. Let j be t(10). Solve -d = 5*o - j, -o - 42 = 4*d - 58 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22419.2 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25995 is divided by 1854?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -7)*120\/(-70). Solve 0 = -4*x - w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + 3. Let a = s - 43.9. Let y = 18 + -17.8. What is the closest to a in 3, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -275 + -8746?\nAnswer: -8a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 20 + 6)*(r**2 + 5*r**2 - 4*r**2)*(3*r - r - r) to g*r + n*r**2 + h + l*r**3 and give l.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 332393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 33*y - 145 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9802*q**2 - 2 + 13*q**4 + 25*q**3 + 9803*q**2 + 0 to k*q**3 + b*q**2 + v*q**4 + y*q + d and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3) + 0)**2 - sqrt(114)\/(sqrt(6) + sqrt(18)\/sqrt(3)).\nAnswer: -sqrt(19)\/2 + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 6*m + 1. Suppose -50 = -t - t. Suppose -3*s = 3*z, 5*s + 11 + t = 4*z. Suppose 15 = 3*q + 5*f, -9 - 11 = -z*q + 3*f. Calculate w(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-24)*(-4)\/(-24)*3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6585 - 6581. Sort 1, 5, -14, n, -6 in decreasing order.\nAnswer: 5, n, 1, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -161111\/49 - -3288. What is the smallest value in 0.7, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 260807 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f\/(((f*f*(f*f*f*f**1)\/f*f)\/f)\/f*f)))**(2\/3))**(-25))**(-2\/11) assuming f is positive.\nAnswer: f**(200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 36 = -3*s - o, -2*o = s + 27. Is s at most as big as -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-6*(sqrt(91) - (sqrt(91) + 2*sqrt(91)*6 + sqrt(91))))\/((sqrt(350) - sqrt(350)*-1)\/sqrt(288)).\nAnswer: -2808*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65778 = -4448*a - 1592 + 13994 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6410.016 grams?\nAnswer: 6410016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 874.94 + -875. Let p = -2041\/9 - -227. Which is the smallest value? (a) p (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 435295.65 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 5*z, -20*d + 22*d - 3*z = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5137 + -3222. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 416*d - 413*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115567, -115552, -115513, -115438, -115315?\nAnswer: -115132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 4*m - 2*m)*(-2*m + 0*m - 2*m) + (0*m**2 - 2*m**2 - m**2)*(3 + 1 - 2).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.1, 9\/14 in descending order.\nAnswer: 9\/14, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4 - 8*c + 3 + 7. Suppose 4*h = -5*y + h + 12, 0 = -y - 4*h - 1. Let t(m) = 1 - 2 - 3*m + y. Give 5*a(s) - 14*t(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 + 16*d**2 - 24 - 2*d**2 - d**2 + d**2 - 4 + d**2 + 4 + (-d - 3*d + 2*d)*(3*d - 5*d + 0*d) + 0*d + 0*d + 4*d**2 to v*d**2 + g*d + s and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -126 + a0013?\nAnswer: 9cbba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 619\/6 + -104. Suppose 3*q - c = 35, 4*q - 5*c - 17 = 48. Let f(b) = -b**2 + 11*b - 14. Let d be f(q). What is the third biggest value in 3, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 18. Suppose -r = -3*z - 3*q + 10, -4*q = -z - 3. Let m(j) = -j**3 + 3*j**2 + 5*j - 4. Let h be m(4). Solve h = z*l - 1 - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -446\/1173 or -1?\nAnswer: -446\/1173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 5. Let h be b(0). Suppose g - 4 = -g, g - h = -a. Suppose -v + 3*x - 12 = 4*v, -3*x = -a*v - 12. Solve 0 = c - 3*c + 6, v = 5*n + 4*c - 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18.39 (b) 1 (c) 1\/12 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 2.58115, -7, 0.7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 495937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10942?\nAnswer: 2, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -14. Suppose i*k - f - 99 = 0, 0 = 3*f - 4*f + 1. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -5*k**7\/14 + 2*k**6\/3 + 13*k**5\/4 + 5*k**4\/2 + 75*k. Suppose n(f) = 0. What is f?\nAnswer: -1, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*b - 10*b - 639 + 639 to r + k*b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -29*r**2 + 7*r - 1. Let q be o(-3). Let h = -142 - q. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -13. Suppose -b - 3*b = 0, b + h = 3*a. Let i = 2 - 2. Solve 4*x + 26 = -5*v, -x + 6*x - 4*v + a = i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - ccac28?\nAnswer: -ccac2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010010011 + 1111000010?\nAnswer: 111001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(18\/(-44))*(-444)\/296*(-4)\/(-5)?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {t: 4, y: 2, r: 3}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.189 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**2 + 11\/6*z + 1\/2*z**5 + 1\/3 + 13\/3*z**3 + 7\/3*z**4 = 0 for z.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47651566621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 + 296. Is m a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/((-72)\/330)*-344?\nAnswer: 2, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*x + 67 - 54 - 440 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1176223281?\nAnswer: 3, 392074427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 335866?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12183167 and 31172?\nAnswer: 12151995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13196 + -13196. Let j(s) be the third derivative of 0 + 0*s**3 + h*s**4 + 0*s - 29*s**2 - 11\/30*s**5. Let t(b) = b. Give t(j(a)).\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l + 42. Let t be x(-7). Let u be t\/(3\/4*(2 - -2)). Suppose -2 = -3*j - 8*f + 3*f, 10 = -5*f. Put -4, j, u in ascending order.\nAnswer: -4, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*a**2 - 1611*a**4 - a - 201 + 200 + 1560*a**4 - a**3 + a**3 as z + f*a**2 + n*a**4 + o*a + l*a**3 and give n.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.05, -1, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 4*n - 5*x, -5*n - 2*x + 45 = -70. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17 and 65134947.8?\nAnswer: 65134930.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -194, -6, -1, 5, 7 in increasing order.\nAnswer: -194, -6, -1, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3200)*2 - sqrt(3200))*6)\/(1*-4*sqrt(40)\/sqrt(4)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkkfufkkuffwkkw. Give prob of sequence wkw.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 0 - 6)*(0*i + i + i)*(0 + 0 + 2).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 2*d**2 + 19 - 5 - 3*d**2.\nAnswer: -3*d**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 4*a + 2 - a**3 - 15 + 5*a. Let t be y(0). Let p = 19 + t. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 + 2*t**2 - t - 1. Let w be j(-5). What is the tens digit of w\/6*4\/(40\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15 + 0 - (-3 - -6). Let u = m + -4. Solve c = -3*c - u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + 7*w**3)*(0*w**2 - w**2 + 0*w**2) - 13*w**3 - 3*w**5 + 13*w**3 + 3*w**5 - 2*w**5 + 8*w**3 + 11*w**3.\nAnswer: -9*w**5 + 19*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3*o - 3*o)*(-2*o - 1 + 1) + 109*o**2 - 108*o**2 + 4*o + 0*o + (2*o + o - 2*o)*(-1 + 1 + o) + o**2 + 1 - 1.\nAnswer: -o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25723200 divided by 10718.\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-42))\/(6\/9). Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22949 and 0.00836.\nAnswer: 22949.00836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - w)*(1498*w - 422 + 844 - 421)*(-3*w**2 - 3*w**2 + 4*w**2 + (2*w + 2 - 2)*(4*w - 2*w - w) - 2*w**2 + 0*w**2 + 3*w**2 + 4*w + 2*w**2 - 4*w).\nAnswer: -4494*w**4 - 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 + 6*o**2 + 4*o - 13. Determine n(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2278.216ns?\nAnswer: 0.000002278216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*f - 97, 5*j = -f - 0*j + 26. Suppose f*y - 44*y + 2340 = 0. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-16) + 6\/(-4). Let o(h) = 3*h**2 - h. Let b(u) = -u**2. Suppose -84 = -56*y - 449 + 29. Calculate k*o(t) + y*b(t).\nAnswer: -3*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 50, -0.23, -1626\/7?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*j + 20, -3*t - j + 3*j + 20 = 0. Let z = -48918 - -48918.2. Which is the nearest to 0? (a) 3 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6549387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3))**45\/(m*m**0)**(-5\/3)*(((m\/(m\/m**(2\/15)))\/m)\/((m**(2\/7)*m)\/m))\/((m**6\/m)\/(((m\/m**(3\/8))\/m*m)\/m)) assuming m is positive.\nAnswer: m**(2839\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, h: 3, x: 13}. What is prob of sequence hxh?\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/11, 4, 603 in descending order.\nAnswer: 603, 4, -1\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/366 and 31\/183.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 2*f + 5*i - 105, i - 38 = -2*f. Solve f = 4*l + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*i*m**3 + 5*i*m**2 - 261*m**3 - 4604*m**2 wrt m.\nAnswer: 252*i - 1566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 - 3*g**2 - 2*g - 3. Let d be m(-2). Let p = -18 + 13. Let i be -1 - 1 - (p - 0). Solve -r + i*v = 7, -d*r + v = -2*v - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 2150960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from {e: 3, d: 2, q: 7}?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/98 and (4\/(-27))\/((-854)\/(-3477)).\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k + 16*k - 176764. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d + 10*d + 0*d + (-73 + 22 + 36)*(13*d + 0 + 0) - 4 + 2*d + 4 to v + k*d and give k.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 2*v + 5*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:12 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.157 - -2135.157. Let s = 2134.243 - v. Let r = -2.14 + s. Round r to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -13*h**2 - h - 4. Let c(f) = 4*f**2 + 1. Let s = 173 - 175. Calculate s*y(b) - 7*c(b).\nAnswer: -2*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14019 + -53914?\nAnswer: -39895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -5*(sqrt(7)*-2)**2 - (3*(0 + sqrt(7)))**2 - (-2*sqrt(252)*1)**2) + (sqrt(28) + sqrt(84)\/sqrt(3)*-1 - (0 + 1 + sqrt(7) + -3))**2.\nAnswer: -1200 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + g - 2. Let j be l(0). Let x be ((-36)\/20)\/(j\/10). Suppose -5*q + x*q - 12 = 0. Solve -40 = -5*w - 4*n, -q*n = -5*w + 1 + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20 (b) -123 (c) 2\/23 (d) -2\/9 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2. Suppose -5*i + 61 = 46. Let m(r) = -i*r**2 + 8*r**2 - 2*r**2. Determine s(m(d)).\nAnswer: 27*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -46, 388\/153.\nAnswer: -46, -0.3, 388\/153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*k + 2*k - 43, 4*k - 101 = y. Calculate the highest common divisor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.343157 kilometers?\nAnswer: 6343157000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -190 + 169. What is the units digit of ((-6440)\/g)\/((-4)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.596 - -2.544. Which is the third smallest value? (a) -0.1 (b) 0.02 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 4\/7 (c) 1\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 4*r + r)*(3*r + 0*r + 0*r)*(0 + 3 - 1).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32875.95t?\nAnswer: 32875950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 4325.\nAnswer: -4325.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -3 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1434400?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**2 + 2*i**2)*(i**2 + 0 + 0).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -186*m - 1060. Calculate the remainder when 222 is divided by u(-6).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 47*k**2 - 8. Let l(j) = -16*j**2 + 3. What is 8*l(n) + 3*s(n)?\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2113015\/112 or -18865?\nAnswer: -2113015\/112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 159\/(-53) + 1*(-15)\/(-1). Let k be (-3)\/d + 84\/16. Suppose -k*z = -f + 3*f - 830, 2*z - 3*f = 351. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 73379754709.\nAnswer: 73379754709.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.24? (a) 2\/119 (b) -2\/7 (c) -1\/2 (d) 2\/7 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 7*q**2 - 6*q - 16. Let o be b(8). Let v be o + -3 - (-5 + 0)*2. Suppose 0 = v*k - 0*k. Solve -2*x = -k*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 + n**2 - n + 2. Let p(k) be the second derivative of -k**5\/20 - k**4\/12 - k**2\/2 + 2*k - 68. What is -2*p(h) - t(h)?\nAnswer: -h**3 + h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 - 19. Let k(v) = v**2 - 7. Let i(p) = 8*k(p) - 3*r(p). Let b(g) = 4*g**2 - 3. Calculate -b(m) - 3*i(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2072812 plus 23?\nAnswer: 31.2072812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-3))\/(3 - 6 - 1). Let z(p) = 5*p + 5. Let t be z(s). Suppose -2*b + 35 = t*u - 47, b = -4. Calculate the remainder when 35 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 288752407761 - 7.\nAnswer: 288752407754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7201 and 741?\nAnswer: 280839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 + (-3 - -8) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2\/9 - 200*g\/9 - 2500\/9 = 0. What is g?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**3 - 8*d**2 - d - 21. Let f(m) = -m. Let l be f(-7). Let k(j) = 2*j**3 + 4*j**2 + j + 10. Let c(x) = l*k(x) + 3*q(x). What is c(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/(1026\/468)*(-6)\/3*1\/(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o**3 + 45*o**3 - 24*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53958 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (232\/29 - 11) + (3*6 - -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 23 = 3*n + 2*n - 8, -4*y - 2290 = 3*n - 2276 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11726 is divided by 2928.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -257 - 49914*g + 75*g**2 + 148*g**2 + 49914*g wrt g?\nAnswer: 446*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 2*m**2 - 8*m - 2. Suppose 3*y - 4 - 2 = 0. Suppose -2*u + 2 = -u - 2*k, 3*u - y*k - 14 = 0. Is o(u) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 4*p + 27, 10153*t - 10152*t - 3*p - 6 = 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -735\/11. Let g = w - -1\/55. Put 0, 2, g in decreasing order.\nAnswer: 2, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (143*r + 168*r + 77*r + 2)*(0 - 3 + 1) to the form i*r + f and give i.\nAnswer: -776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:43 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -77, -1, -11, -13 in ascending order.\nAnswer: -77, -13, -11, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/9*(-24)\/(-20))\/((-130)\/(-585))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/1425 + 78391\/5700. Let y be 147\/5 + -5 + 2. Let w = y - 446\/15. Calculate the common denominator of a and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1491 = -4*n + 4*a - 1515, 10 = -2*n + 5*a - 4*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 3*v. Calculate the greatest common divisor of 6 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/18 - 3292283\/7704. Let q = 427 + t. Which is the second biggest value? (a) 8 (b) q (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 26. Let m be f(15). Suppose -m*q + 6*q = 5. Is 2\/9 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6111, -5, 20, 88.\nAnswer: -5, 20, 88, 6111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbq when three letters picked without replacement from qbqbqbqqqbbbbttqqq.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3792 and 5214?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h + 2330. Is 25 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11675790*l**5 - 4*l**3 + 833909*l - 59 wrt l?\nAnswer: 233515800*l**3 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 8:03 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*b + 107*b + 176*b + 290*b.\nAnswer: 493*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c - c + 4*c)*(5 - 4 - 3)*(c**4 + 0 + 0) + (-36*c**3 + 95*c**3 - 42*c**3)*(-c**2 - 2*c**2 + 0*c**2).\nAnswer: -47*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 66*o - 833. Let r be k(13). Let t(u) = u + 2 - 4 + 0*u. Let f be t(4). Solve 0 = f*v - 7*v + r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*4342\/(-835).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 2. Let d be a(7). Suppose 0 = l - 5*l + d. Suppose 2*h + l*j - 50 = 3*j, -4*h + 104 = 3*j. Solve 2*i - h = 5*o, 2*i - 35 = 5*o - 3*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -o - 4. Let w(r) = 8*r - 131. Let g be w(17). Suppose 3*v - 40 = -o*z + 4*z, 0 = -g*v - 4*z + 61. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16228.392ns?\nAnswer: 0.0000002704732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 1)*(1 - 2 + 2) + 249 - 76 + 28)*(q**2 - q**2 - 2*q**2)*(q**3 - q**3 - 2*q**3).\nAnswer: 800*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23408401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -362 + 74811.\nAnswer: 74449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - ((-14)\/21)\/(93\/(-261)). Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 10 (c) 0 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/(26 - (49 + -30))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 4*m - 6, 0 = -2*f + m - 7 + 13. Let t be (5 - 2)*(f - 2)*2. Solve -2*u = 4*u - t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 219 + -112. Find the second derivative of -8*t**4 + 14*t**4 + 25*t**4 + 54*t - b*t - 135*t wrt t.\nAnswer: 372*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-4)*(-12)\/(-18). Let t = 2 - f. Which is greater: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/(1\/(-52)). Let g = 51\/2 + k. What is the third smallest value in 1, g, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x + 47*x + 438 = 0. Let z = x + -215. Solve -4*s + 22 = -2*v, -z*s + 15 + 4 = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 12. Let m = 7.02 - g. Let b = 0.08 + m. Which is smaller: 0.01 or b?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d*d\/(d*d\/(d\/(d\/(d\/(d\/(((d\/(d\/d**(-3\/7)))\/d)\/d))*d)))))\/d)*d*d**(3\/7))**(-2\/23) assuming d is positive.\nAnswer: d**(-54\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-298)\/8*(-435 - 3\/3). Suppose -5*d + u = 846. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7687541ml to litres.\nAnswer: 0.0007687541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 174\nAnswer: -34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2800 and 5250?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w + 62. Suppose 5 = s, 3*y - 2*s = -6 + 20. Let i be f(y). Solve -l = -3*l - i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 147, 439, 729, 1017, 1303, 1587?\n\"Answer: -z**2 + 295*z - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g - 5*g + g + 2*g in the form d + v*g and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - j)*(0*j**2 - 4*j**2 + 3*j**2) + j**3 - j**3 - 5*j**3 + 8*j**2.\nAnswer: -4*j**3 + 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 303682032499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k**2 + 3*k. Let s be f(-2). Suppose g = 5*r - s, 3*r + 4*g - 18 = -0*g. Is 3 a factor of 212\/24 + 1\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4682?\nAnswer: 2, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 51 = -4*q. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*i - 3*i**4 + 14*i**4 + 29*i**3 + 55*i**3 + 25*i**2 - 2*i**4.\nAnswer: i*(i + 9)*(3*i - 1)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 31*i + 3253. What is r(-98)?\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 72 = -5*n. Let u = -38 - -32. Calculate the common denominator of n and 3\/u*204\/33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -21*z**2 - 11. Let u(v) = -16 - v + 36 - 9 - 11. What is r(u(s))?\nAnswer: -21*s**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 4 (c) -0.0533\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2892459 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4\/5 - 686248*m**3\/5 - 15697831500*m**2 - 598469360625000*m + 598485058593750 = 0.\nAnswer: -114375, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-15) + 2 + -10 - -5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 223305384 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44787269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**3 - 8*z**2 = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 5:03 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*l = 55987, l - 510774 = -14*i + 272476. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/(-2100))\/(((-4)\/16*4)\/(18\/42)).\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 162496, 162455, 162386, 162289, 162164?\n\"Answer: -14*b**2 + b + 162509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 101349+-0.43\nAnswer: 101348.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4 + (1 - 2 + 2)*(-1 - 3 + 2) - 2 + 0 + 1)*(-b + 2*b - 2*b)*(107*b**2 - 16*b**2 + 190*b**2).\nAnswer: 1405*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssrsssssssssrrssrsr?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10701*d**2*s**2 + 3*d**2*s + d**2 - 11*s + 118 wrt s.\nAnswer: 21402*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2064 - -2071. What is the remainder when 188 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-51*w - 182*w + 109*w)*(w - 2 + 2) - w**2 + w**2 + 2*w**2)*((-3*w - w + 2*w)*(2 - 2 + 4) - 4*w + 6*w + 3*w) + 0*w**3 - 4*w**3 + 3*w**3.\nAnswer: 365*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12802*y + 9033*y + 2531*y + 1 - 40*y**2.\nAnswer: -40*y**2 + 24366*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10420299 and 501?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/15, -3\/4, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*k + 4. Suppose 0 = k*o + 17 - 25. Solve i = -o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58491*w**5 - w**4 - 631*w**2 - 2*w.\nAnswer: 3509460*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, -70 in decreasing order.\nAnswer: 3, -8, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1904, -1829, -1754?\n\"Answer: 75*n - 1979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -104*f - 18. Let z(v) = -104*v - 16. Let t be (119 - 129)*((-4)\/10)\/1. Let j(x) = t*u(x) - 5*z(x). What is the derivative of j(c) wrt c?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-2)*f)**(1\/25)*(f\/(f\/(f*f**0)))\/((f**(2\/3)\/f)\/f))\/((f\/f**(-8)*f)\/f**(-1)*(f\/((f*f*f\/(f\/f**(-1))*f*f*f)\/f))**(8\/7)) assuming f is positive.\nAnswer: f**(-3329\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*i - 4*w - 3247, -5420 = -5*i + 5*w. Find the second derivative of -1089*u**3 + 8*u**4 - 5*u + i*u**3 - 5*u wrt u.\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52 + 1333*l - 155 + 48 + 55 as n*l + k and give n.\nAnswer: 1333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 950?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -13 - (-2 - (-5 - (-6 + 0)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00714953 to four decimal places.\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*n**2 + 119*n**2 - 117*n**2.\nAnswer: -235*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j + j)*(-7 + 3 + 1) - 50 + 50 - 11*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 17*a - 53. Let c be q(5). Suppose -3*m = -4*g - c - 30, 5*g + 25 = 0. Let z be (46\/60 - m\/84)*15. Solve -z*s = -5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*q - 67 = -580. Let n(w) = -w**3 + 11 + 4*w + 2*w + 4*w - 8*w**2. Let a be n(q). Solve 5*b = -4*k + 7, a*b + b - 5*k - 19 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-18)*(-1 - -4). Let v be y\/(-16)*(4 + 0). Put v, -5, 5 in decreasing order.\nAnswer: 5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c**2 + 7*c - 7*c.\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wttppwtttttptpwttt. Give prob of picking 1 t, 1 w, and 1 p.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4\/5*(14\/4 + -1) and 215?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - 2059 - 19*b**2 + 1039 - 433*b + 1020.\nAnswer: -2*b**3 - 19*b**2 - 433*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -40.9999956. What is k rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 138*j + 7. Let z(p) be the third derivative of 23*p**4\/8 + p**3\/2 + 989*p**2. What is 2*n(v) - 5*z(v)?\nAnswer: -69*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 13*o**4\/24 + o**2. Let j be ((-34)\/(-51))\/(2\/21). Let l(f) = j*f - f**2 + 10*f - 17*f. Give l(c(r)).\nAnswer: -169*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 777.36 + -130.46. Round x to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 19*z**2 - 46*z + 41. Is h(-13) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -7. Let f = 7 + k. Suppose 0 = -3*c + 5 - 14. What is the third biggest value in f, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 700295, 1400599, 2100903?\n\"Answer: 700304*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (270 - 309) + 10197\/261\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -211012?\nAnswer: 211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/14)\/(10\/(-35)). Let y = j - 5. Solve 2*i = -y + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*x - 3*d - 231, 2*d = -2. Let j = 79 + x. Suppose 2*q - 3*q = 4*w + 7, -3*q + 24 = -j*w. Solve v - q*v = 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17075 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, u: 7}. Give prob of picking 1 u and 3 c.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41107 + 41084.009. Let b = 23.02 - 0.02. Let t = h + b. Round t to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*v + v - 29 = 0, 3*v + 6 = 3*c. Let h(z) = 2*z - 6. Let q be h(c). Is 6 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1562 minus 165527.56?\nAnswer: -167089.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22191362 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 17 = 3. Let w be s\/1 + 3 + 4. Suppose -4*m + w*m = 0. Solve -10 = -m*o - 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11440 - 2123. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 8 + 8. Let x = -3 + 15. What is the greatest common factor of x and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13*h**3 + 16*h**2 + 9*h - 7. Let i(v) = 4*v**3 - 5*v**2 - 3*v + 2. Let d(g) = 7*i(g) + 2*l(g). Let f = 875 - 877. What is d(f)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-6)*a*(a*a**(-4\/7)*a)\/a*(a\/(a\/(a\/(a*a**(-2\/7)))))**(-2\/11) assuming a is positive.\nAnswer: a**(645\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-89 + 79 + 1 + 27 + 4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0 (c) -8 (d) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37.3 - -37.4. Let j = 17 - 14. Let o = 1.2 - 1.3. What is the closest to d in j, 4\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.87 + -0.13. Let j = -21 - h. What is the closest to -1 in j, 0.1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - -11. Let u = 24 - j. Solve 2*r = -2*n - 4, 6*n = 3*n - u*r - 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 333*p**5 + 478*p**2?\nAnswer: 19980*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -174803, -174818, -174843, -174878, -174923?\n\"Answer: -5*a**2 - 174798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3128\/(-3060) + (1 - 0 - (-6 + 6))\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65\/2 - -32. What is the nearest to z in -4, 0.2, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 179523 and 51789.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*m*q*s*y**3 + 4*m*s*y**3 - 9*m + q*s*y**2 + q*s*y + 2*q*y**3 - 4*s*y wrt y?\nAnswer: -210*m*q*s + 24*m*s + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33960*j + 91 = -33947*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*1)\/(sqrt(242) - (sqrt(242) + -2*sqrt(242))) - 6*(1 + (sqrt(891) + sqrt(891)*-2)**2))*2.\nAnswer: -10704 + 2*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (50\/15)\/((-6)\/9). Sort u, -1, 5 in decreasing order.\nAnswer: 5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.058131 * 46\nAnswer: 48.674026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.6483 to one dp.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.42*-3534\nAnswer: -1484.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 1. Let z = 11 - 11. Let f be o(z). What is the nearest to f in 1, -1, 1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.61 + 15.39. Let v = 986212\/7 - 141219. Let f = -331 - v. What is the closest to -1 in f, 1\/3, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -354, -969, -2162, -4125, -7050, -11129?\nAnswer: -16554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25.63751kg?\nAnswer: 25637.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 22, 0.11, 6\/11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = 3*l + 3*o + 143, 3*o = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/31 or 5?\nAnswer: 11\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*o, -619 + 595 = 3*p - 3*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -6. Let q be (g\/(-4) - 7)\/(-1). Suppose -2*k = -3*o + 2 - 3, 3*k = -q*o + 30. Solve -f + 2*u = 2, f + f + k*u = -4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 3*b**2 + 11*b + 7. Let k be s(-5). Solve -5*x + k = 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 2*i**3\/3 - 17*i**2\/2 + 53*i. Let t(q) = 2*q**2. What is s(t(w))?\nAnswer: 8*w**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 9. Suppose 3*o + 5*k - n = 0, 0 = -4*o - 2*k + 4*k - 28. What is the fourth smallest value in -3, o, 23, 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2055? (a) -1\/2 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 10052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 1237236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2024993, 2024995, 2024997, 2024999, 2025001, 2025003?\n\"Answer: 2*y + 2024991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.6 + -16. Which is the closest to -0.3? (a) m (b) -1 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20442 from 0.03.\nAnswer: -20441.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-3))\/((-20)\/12). Which is bigger: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*s**2 + 13*s**2 - 37 + 37 to the form w*s + h + f*s**2 and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 3, b: 8, l: 6}. What is prob of picking 1 b and 1 g?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 114216048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1837365*b - 268*b**2 - 1837365*b.\nAnswer: -268*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - -0.1. Let n be 99\/(-1716)*-26 + 1\/(-2) + 0. What is the nearest to n in s, -5, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcrc. What is prob of sequence cr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -4 (c) 1\/50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10947540710 to the nearest one million.\nAnswer: -10948000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 + 110 = 10*g. Let v(h) = -21*h - 194. Is 31 a factor of v(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**4 + 84990*a**3 - 2631015*a**2 + 19174390*a - 28504560 = 0.\nAnswer: 2, 8, 21, 16967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 222306*m**5 + 5277022*m**4 + 30610880*m**3 - 8433320*m**2 - 209856*m - 1152 = 0?\nAnswer: -12, -1\/67, -2\/237, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22818 + 25032. What is the least common multiple of 297 and q?\nAnswer: 24354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-54)\/(-30))\/(138\/4791590).\nAnswer: 3, 83, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.5+-1734676\nAnswer: -1734679.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 5*b**2 - 53*b + 35. Let u be f(10). Solve -w + 5 = -2*g, -5*g = -4*w - 2*g + u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/89370 and -52\/223425.\nAnswer: 446850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*w - 41, w = -3*w + 3*y + 77. Suppose -d + 12 = -3*j, 5*d - 3*j = 16 + w. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 1274760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 796*j + 157. What is the hundreds digit of p(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.85.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-4)\/y**(-35))**(-10\/7))**(2\/15))**(-7) assuming y is positive.\nAnswer: y**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 2)*(-5*m**2 + 0*m**2 + 2*m**2)*(2*m**2 - 2 + 2).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31240400 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = 193*w - 155*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2630 - -2685. What is the remainder when 124 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 2*p - 5*r + 78, 0 = -9*p - 5*r + 204 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2866 (b) 30 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(0 + 3\/(-6)). Let p(t) = -3*t + 3*t + t**3 - t**l. Let f(u) = 2*u**3 - 3*u**2 + 2 - 2. Give 2*f(s) - 6*p(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -7. Let z = 58 + -48. What is the third smallest value in 5, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -5*v**8\/56 + v**4\/2 + 2*v. Find the third derivative of n(r) wrt r.\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q + 3. Let x be w(0). Suppose -4*c + 24 = 7*k - 9*k, -4*c + 32 = 2*k. Solve x*u = c*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -462 + 460. Sort -1\/3, -4\/5, z in increasing order.\nAnswer: z, -4\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 26. Let t = 134 + -76. Suppose 0 = -x - d*x + t. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 11. Let q be a(-7). Let h be (-78)\/(-13) + 2 + q + -2. Solve -2*y - h = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 127*a**3 + 6*a**2 - 6*a. Let u(y) = -2667*y**3 - 127*y**2 + 127*y. What is -127*i(s) - 6*u(s)?\nAnswer: -127*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -399.1 - -325. Let l = 74 + v. Let y = 33 - 20. Is y >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -3533*n**3\/3 - 851*n - 1713. What is the derivative of y(w) wrt w?\nAnswer: -7066*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/15 - 4*x**2\/5 - 504*x\/5 + 1296 = 0. What is x?\nAnswer: -30, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12920, -12886, -12790, -12602, -12292?\nAnswer: -11830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(-11062 + 10104 + 16452 + 9602)*(-2 + 2 + 2*k) to d*k + b and give d.\nAnswer: -100384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 972 and 810.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*5 + sqrt(17) + (sqrt(17) - -6*sqrt(68)\/sqrt(4)) + sqrt(17))*-4.\nAnswer: -156*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 6:01 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20756704 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: Which is the nearest to 46? (a) 2\/7 (b) 76 (c) -1 (d) 1\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.371 - 0.019. Let z = 0.01651 - -34.19349. Let t = z - w. What is t rounded to zero decimal places?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 32432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42940 + 1545949\/36. Let m be 19*(-1)\/(-20)*(-30816)\/1696. Let b = m - -626\/53. Find the common denominator of b and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -12 + 2*r + 10 + 10*r + 4. Let g be w(16). Suppose -4*o = -g + 66. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 11*h + 121. Let x be g(26). Let b = x + 103. Which is bigger: b or -165?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 17*u**2. Let o(x) = 7*x**2 - 25*x**2 - 27*x - 18*x**2 + x. Let m(p) = 4*p**2 + 3*p. Let d(v) = 52*m(v) + 6*o(v). Determine n(d(f)).\nAnswer: 1088*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from wzqwxxxqwqqwq.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.05 - -1. Let u = 0.1511 - -0.0489. What is the closest to -2\/5 in l, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.4 times -0.0755\nAnswer: 0.3322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 57726*o**3 - o**2 - 10*o - 7. Let c be i(-7). Let m be c\/22 + 14\/77. What is m rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412249267 + 412249267 - 6*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 159462 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((233220\/(-92))\/507)\/((1\/3)\/1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 651.999999407 + -652. What is v rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/5))**(-1\/35)\/((k*k**(-8))\/k**7) assuming k is positive.\nAnswer: k**(2447\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -5 - -1) + (-5 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 13 = 71. Suppose -11 = -2*p + 3*o, -4*p + 2*o + 18 = -0. Suppose -u = -p*u + 255. Calculate the remainder when u is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/66)\/((-25)\/(-100)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2465.\nAnswer: 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o + 173 = s, 5*o + 4*s - 167 = 0. Let l = o + -30. Calculate the remainder when 13 is divided by (2 - 1)\/(1\/l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - -7. Let x = y - 19. Solve x = -4*v + 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4589 - 4587. Let y = -1 - -1.9. What is the third biggest value in d, 0.4, y, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 220 - 36. Suppose 64 = -3*r + r. Let w = -10 - r. What is the remainder when u is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((62 - 35) + (-2 - 17))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47.069 - 0.069. Let p = -47.0000008 + x. What is p rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let a(y) be the third derivative of -y**6\/40 + y**3\/6 + 4*y**2. Let k(w) be the first derivative of a(w). Determine c(k(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21, 32, 93, 138, 143, 84?\n\"Answer: -4*s**3 + 28*s**2 - 3*s - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95046 + -65247. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 3*t = -12. Suppose 8 = t*n - 38. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (8 - (11 - -8)) + 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1007.941418 rounded to the nearest integer?\nAnswer: -1008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32232010 - 1100?\nAnswer: 32230310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/9 - 27418*c**2\/3 + 82256*c\/9.\nAnswer: -2*c*(c - 1)*(c + 41128)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 56905, 56968, 57073, 57220, 57409, 57640?\n\"Answer: 21*v**2 + 56884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166995*u - 166998*u - 2*n + 141 = 0, 3*u + 6*n = 2*n + 291 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 688*f**5\/5 + f**4\/2 - 5221*f**3\/3 - 3023. What is the third derivative of p(i) wrt i?\nAnswer: 16512*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-39)\/26*(17 - 1). Suppose 2*i = 5*a - 23, 3*a = -2*a + 3*i + p. Sort -1, a, 5, -3 in descending order.\nAnswer: 5, a, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 0.2 (b) 0.3 (c) 4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*(r\/r**3*r)\/r*(r*r**2)\/r*(r\/(r\/(r\/(r**(-3)\/r))))\/((((r*r\/r**(-1))\/r)\/r)\/r)*r**(-1\/6)\/(r\/r**(-3))*r**(-6)\/(r\/r**(-1)*r) assuming r is positive.\nAnswer: r**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -145, -284, -419, -550, -677?\n\"Answer: 2*w**2 - 145*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18161.\nAnswer: 11, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18491 + -18614 + (-2 - (-38 + 0))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 75288.\nAnswer: 527016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 10:57 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4018 + 8713 = 251*k + 1938 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-18))\/(-1*(-4)\/(-32))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y = -17*y + 2, 0 = c - 2*y - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**3\/3 - n**2\/2 + 4*n + 7. What is the units digit of h(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 114?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -185e?\nAnswer: -185a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 82198944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100011010001 - 11001010?\nAnswer: 101100000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 < -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 78*w**2 + 676*w + 1680.\nAnswer: 2*(w + 5)*(w + 6)*(w + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 116139, 116135, 116131, 116127?\n\"Answer: -4*u + 116143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i + 60. Let f(r) = r + 1. Let j(z) = -4*f(z) + t(z). Let w be j(-14). Suppose 0 = 2*g - w - 0. Put 5, 6, g, -2 in descending order.\nAnswer: 6, 5, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o. Let g be -1 - -1 - (-6 + 6). Let r(s) be the first derivative of g*s + 1\/3*s**3 + 2 + 0*s**2. Give r(w(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -19*o - 33 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2001 or 545?\nAnswer: 2001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(4\/128*-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 197*h**2 - 5 + 3*h - 347*h**2 - 123*h**3 + 148*h**2 - 3*h to y*h**2 + o*h**3 + v*h + k and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/7 - 2*j**2\/7 + 2*j\/7 + 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 345 - 203. Suppose 13*o - 15*o = -j. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -17608 and -16567 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46402*z**6 + 1084*z**4 + 67925115*z**2 - 3*z wrt z.\nAnswer: 5568240*z**3 + 26016*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 15*x**2 + 506*x + 198. Determine r(32).\nAnswer: -1018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 20*j**2 - 86*j - 18. Let v be s(5). What is the greatest common divisor of 234 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -s. Suppose 0 = s*u - 20 - 58. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-1 + sqrt(539) + -5)*-1)**2 + ((-3*sqrt(539)*-2 + sqrt(539) - sqrt(539)) + (sqrt(539) - 5*(sqrt(539)*2 - sqrt(539))))**2*3)*6.\nAnswer: -504*sqrt(11) + 42258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.4967 (c) -3\/8 (d) 3 (e) -3\/10 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (810\/243 - (-58)\/6) + -35.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33998 + -21722. What are the prime factors of y?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**4\/8 + 7*r**2\/2 + r. Let y(j) be the first derivative of f(j). Let o(l) = -l**2. What is y(o(i))?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/1068 and -113\/432.\nAnswer: 38448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 13\/6*t - 11\/6*t**2 - 1\/3 = 0?\nAnswer: 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08361 - -30.90361. What is z rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 415, 12, 25?\nAnswer: 415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (90\/25)\/(9\/(-6)). What is the closest to 0.1 in o, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2. Let t(c) be the second derivative of -13*c**4\/12 - 2*c. What is t(d(p))?\nAnswer: -13*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*z**2 - 56*z**2 + 4*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8943 and 4.\nAnswer: 35772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 148?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 6*n**2 - 2*n + 4. Let g = -15 - -10. Calculate h(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -301, 55, -2 in descending order.\nAnswer: 55, -2, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*m + 628 = -36 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -4 (b) -1.3 (c) 1\/10 (d) -5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 5 + (-3 - (2 - 4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s\/(s*s**(-11)))\/s)\/s*s)**(-16) assuming s is positive.\nAnswer: s**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 11*s - 6. Let m(c) = -8*c**2 - c. Let f be m(2). Let q = 8 - f. Calculate the remainder when q is divided by o(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*l**2 + 9654*l - 3860.\nAnswer: -2*(l - 965)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-1))\/z)**(4\/15)*z**(-6)\/z**(-1\/3))\/((z*z*z**(-5)*z)\/(z\/z**(2\/5)*z))**(2\/63) assuming z is positive.\nAnswer: z**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**8)\/(c*c**4*c))**38 assuming c is positive.\nAnswer: c**152","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95878689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82d (base 15) to base 5.\nAnswer: 24333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -12 - 14*x**2 + 23*x**2 - 37*x**2 - 42*x + 14*x**3. Let m(o) = o**3 - o - 1. Let v(i) = -12*m(i) + z(i). Factor v(d).\nAnswer: 2*d*(d - 15)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*i = 55*i + 2367. Calculate the remainder when i is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4863727289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104978310*h**2 + 64170042*h wrt h.\nAnswer: 209956620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 4*s**2 - 4*s**2 - 3*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 67?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116561 and 8473?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + y)*(-1 + 1 + 2) + 2*y + 2*y - 3*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 20, y + 356*w - 715*w = -357*w + 19 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.35085915 to three decimal places.\nAnswer: 0.351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (22001\/3592)\/(7\/(-2))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2080, 4085, 6094, 8107, 10124?\n\"Answer: 2*i**2 + 1999*i + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22370 and 134220.\nAnswer: 134220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*m - 15*m - 32*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6246473 less than 15194?\nAnswer: -6231279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (102 + -1110579)*(-2)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 90 + 34 = 4*o, -9*o - 38 = -10*o - 3*f for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -69708.\nAnswer: -69713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 2\/5, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-27 + (-6 - -7))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 10. Let z(f) = f**2 + 5*f - 1. Let m be z(w). Calculate the remainder when m\/(-1 - 18\/(-21)) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 3, m: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212053.\nAnswer: 53, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*v**3 - 546*v**2 - 2820*v - 600.\nAnswer: -3*(v + 10)**2*(9*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-72)\/(-324) + 32\/18 + 354. Suppose -s = -3*o - g, 1469 = -3*s + 7*s - 3*o. What is the greatest common divisor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 not equal to 735.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 8*n = 5*n - 1, 3 = a - 5*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 61919, 123839, 185759, 247679, 309599, 371519?\n\"Answer: 61920*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*u**3\/2 - 97065*u**2 - 138681*u\/2 + 27735 = 0. Calculate u.\nAnswer: -1, 2\/7, 9245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*y**5 + 27*y**5 - y**2 + 28*y**5 + (-2*y**5 + 4*y**5 + y**5)*(-1 + 0 - 1).\nAnswer: y**5 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + j + 3. Suppose -5*n - 5 = -u, 2*n - n + 5 = u. Let y be x(n). Suppose s + y*s - 128 = -5*v, 0 = -v - 5*s + 34. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 4:18 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -18 - (-20 - 2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.67528 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3 + 40*x**2 - 234*x + 324 = 0.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 10*p + 20. Find the third derivative of 394*g - 394*g - 8*g**2 - 35*g**p wrt g.\nAnswer: -2100*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -5 (c) -1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 5 (c) 2\/13 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 4\/5, -0.02, -3\/4, -256, 2, 9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -159*b**3*p - 19*b**3 + 13*b**2 wrt p.\nAnswer: -159*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -1, -82, 105 in decreasing order.\nAnswer: 105, 3, -1, -2, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - 1 - (14 + 627\/(-77)). Which is the closest to 2\/7? (a) -2\/9 (b) 2 (c) i (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 658670 and 0.46 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**13*n)**25)**(-44))**(-7) assuming n is positive.\nAnswer: n**107800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 0, -2\/15, 5, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/37632 and 137\/172416.\nAnswer: 16896768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -1336543.9898.\nAnswer: -1336543.7898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 1, -5, -0.0263?\nAnswer: -0.0263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3086.\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -9 + 11 + 2 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/51 + 10\/561. Let h = t + 13\/33. Suppose 2*k = -3*w + 1, -2*w = w + k + 1. Which is greater: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (19 - (8 + 12))\/(2\/(-16)). Solve -w = 16*o - 8*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685405?\nAnswer: 5, 7, 19583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29911.\nAnswer: 7, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.8497 + -393.7.\nAnswer: -390.8503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0, -23, 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 28*j - 32. What is the lowest common multiple of c(6) and 3932?\nAnswer: 15728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 12:46 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-30))\/((-106)\/(-7314))*-5*1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*x + 19327 = 6691 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 1\/43 (b) -29 (c) -375.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - 20\/((-15)\/(-3)). Suppose -48 = v*y + 2*y. Let d(s) = 2*s - 3*s - 16 - 4 + 8. Give d(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 247\/221 + -1 + (-174)\/34. Let w = -16 + 32. Suppose 7*f - 4*f = 4*n - 22, 0 = -4*n + w. Put 0, k, f in descending order.\nAnswer: 0, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1028604*h**4 + 3*h**2 - 7980500*h wrt h?\nAnswer: 12343248*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(0*r - 4*r - 4*r) + (-31*r + 2 - 2)*(0 + 3 - 2).\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -635520 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2 = 8. Suppose 5*s + 15 = -o*q, 0 = s + 3 - 0. Suppose -3*g + q*g = -12. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 89 + 28)*(0*o + o - 2*o + (0*o + o + 3*o)*(-3 + 3 - 2)).\nAnswer: -819*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**2\/3 - 325994*r\/3 - 26568022009\/3 = 0.\nAnswer: -162997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/16 and -23\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*c + 289783*a*g - c - 205867*g with respect to a.\nAnswer: -2*c + 289783*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 32*j**3 + 50*j**2 + 4*j - 9. Calculate t(-6).\nAnswer: -5145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 1. Let u(r) = 125*r + 33. Let l(x) = -6*t(x) - u(x). Differentiate l(m) with respect to m.\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-18)*(-35)\/((-2940)\/(-63))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*y - 7 = 0, 0 = -12476*n + 12481*n - 4*y + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 359048782 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54748517*z - 526002?\nAnswer: 54748517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -146 (b) -5 (c) 77\/6 (d) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-44)*(-1 - 11). Let v = -3.07 + 0.07. Which is the biggest value? (a) v (b) n (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2332 + -2242. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -3. Suppose 6*b - 45 = b. Suppose -5*j + 17 = -2*q, b + 7 = 4*q. Calculate the remainder when l is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2 + 3*z - 2. Let w(d) = -8*d**2 + 3*d**2 - 5*d - 4*d**2 + 0*d + 4. Let g(u) = -10*f(u) - 6*w(u). Differentiate g(i) with respect to i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -103*q + 8. Let v(r) = -102*r + 9. Let t(l) = -6*c(l) + 5*v(l). Is t(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**2 - 3*m + 3. What is f(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = u - 605 + 3585, -3*h + 5*u = -1788. Which is bigger: 597 or h?\nAnswer: 597","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15715 times -0.4?\nAnswer: 6286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-2) - -2)\/(94\/(-752)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*g = -38025 + 36277 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f + -5?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/1 - (99\/(-12) + 16)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 7*g. Let n be u(5). Let y be (-6)\/n + (-1)\/5. Let h be 3 + -2 + (-2)\/6. What is the biggest value in y, 1\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-1\/2)\/j)*j*j*j*j\/(j\/(j\/(j\/j**(-3\/10))))*j)\/((j\/(j*j**(-7)))\/j**(-1\/6))*j**0\/j**(4\/7)*j*j**(2\/17)*j\/j**(-1\/7) assuming j is positive.\nAnswer: j**(2579\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k. Suppose 0 = -0*i + i - v + 1, -3*v + 23 = 2*i. Suppose -3*g - 2*o + 2 = -4*o, -i*g = -3*o - 2. Let x(t) = 4*t + 0*t - g*t. Determine z(x(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 854 - 856. Suppose -29 = t - 0. Let m = 57\/2 + t. Which is the second smallest value? (a) y (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 3003114 (base 6) to base 13\nAnswer: 4c042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - j - 14 = 0, -4*m - 10*j + 9*j + 28 = 0. Let b be (-1)\/((m + -9)*2). What is the third smallest value in b, 1\/3, 7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -26*w - 6. Determine r(-4).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 19 = b - 2*b, 0 = -3*b - p + 13. Solve -b*k + 2 = -4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/45*6\/16. Let j = 0.77 + -3.77. Let w(g) = 5*g - 1. Let n be w(1). What is the closest to s in n, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - d + 2. Let s = -10 - -12. Let y be b(s). Put 0, y, 1 in decreasing order.\nAnswer: 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1. Let f(v) = 3*v**2 + 3. Let t(h) = f(h) - 9*l(h). Let m(r) be the first derivative of t(r). Let w(q) = -6*q. Calculate m(w(k)).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-35)*(50421\/(-840))\/343?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c - 1712*c - 19992 = 0 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 - 2 - 3)*(-j - 1 + 1) + 3*j + 1 - 1)*(5*j**2 - 5*j**2 + 4*j**2).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34390994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 178*f**2 - 4*f + 12. Let x(c) = 180*c**2 - 3*c + 9. Let u be 560\/56*4\/10. Let a(h) = u*x(h) - 3*n(h). Let o(s) = s**2. Give a(o(k)).\nAnswer: 186*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-61292)\/(-1791))\/(868\/1116)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23593, -47094, -70591, -94084, -117573?\n\"Answer: 2*f**2 - 23507*f - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 15333.\nAnswer: 15333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 524.47, -0.3, 3, -1, -22.\nAnswer: -22, -1, -0.3, 2, 3, 524.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41430 (base 5) to base 14.\nAnswer: dda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -38. Suppose -4*y + 37 = -v. Solve 5*t + y = j - 0, -4*j = 5*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-20)*-14*(-9)\/(-144)*740\/(-259)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/((-4)\/24). Suppose 3*u + s*i - 15 = 0, -u - 3*i + 2 = -10. What is the nearest to -0.1 in u, -3\/2, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.02 + 0.02. Let o = l + 35. Which is the nearest to -0.2? (a) -4 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.9647409 nanoseconds to hours.\nAnswer: 0.00000000000193465025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*(-77)\/105 - 8. Let l(a) be the first derivative of 8\/15*a**3 + 7 + a**2 + 1\/10*a**4 + v*a. Factor l(t).\nAnswer: 2*(t + 1)**2*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 0.00409\nAnswer: -12.99591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(5520\/(-312)))\/((-65)\/(-160)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 451, 1479, 3477, 6775, 11703, 18591, 27769?\nAnswer: 39567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436335269?\nAnswer: 8581, 50849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(-2*u - 1 + 1) + 2 + 46*u - 2027*u + 472*u + 4 in the form w + z*u and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1030301516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = s - 8. Let w = s - -7. Let i = 2 + 3. Solve 2*k = 2*n - 2, -4*n + i*k = -n - w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20655105?\nAnswer: 3, 5, 29, 103, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 4. Suppose -3*x = 9, 0*d - 4*x = d + 9. Suppose d*l = 4*n - 54, j*n = 5*l + 61 - 15. Solve -4*k + n + 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 9:19 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -264, 2 in decreasing order.\nAnswer: 2, 0.3, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((13 - 9) + -3)\/((-1)\/(-1313))?\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -6. Let d be 1 - u - (-3 - -2). Suppose 0 = d*s - 3*s - 22. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 5*u**2 - 6*u + 2. Suppose 4*t = 8 - 12. Let r be t*(3 - -2 - -1). What is j(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + (-1 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 3. Let f be b(8). Suppose 3 = v - 4*v, f*l - 4*v + 26 = 0. Is (2\/l)\/(3\/(-801)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -577, -568, -559, -550, -541?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -38. Suppose o = n + n. Calculate the common denominator of n and 37\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 691, -3, 4, -20\/9, -46?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*u - 5*d - 45 = -80*u, -3*u + 5*d + 40 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - h**2 + 4)*(17*h - 17*h + 11*h).\nAnswer: -11*h**3 + 44*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-18) - 2\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3827112514 a multiple of 1371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 10) to base 12\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96.4 + 94.2. Are l and -1\/27 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 445940 by -111485.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h - 16. Calculate f(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14771667 to the nearest integer?\nAnswer: 3843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 = 2*s + 2*x, 0 = 5*s - 3*x - 2. Let d be -1*s\/(-1*2). Let t = 18.7 + -22.7. What is the third biggest value in d, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -142 - -222. Let a be 1\/(4*4\/b). Solve p = a*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*p + 81*p + 41*p - 39366. Calculate the least common multiple of 2376 and p.\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 a factor of 546346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from nnntnnnnnt?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j - 18. Let u be y(3). Suppose 14*p - 2*p + 360 = u. Let k = -31 - p. Which is smaller: k or 2\/217?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 12 - 7 - (-2870)\/280.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 19*p**5 - 3*p**4 - 16*p**2 + 3. Let b(h) = -18*h**5 + 4*h**4 + 17*h**2 - 4. Let q(o) = -3*b(o) - 4*x(o). What is the third derivative of q(v) wrt v?\nAnswer: -1320*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39.5 + -16.9. Let z = v - 20.6. Suppose -3*y + 170 = -16. Sort y, z, -2\/3.\nAnswer: -2\/3, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 2 - (2452\/330 + (-1254)\/3135).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19692499*j**2 + 21309*j - 641.\nAnswer: 39384998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5*c + 12 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 1. Let g be s(4). Suppose 4*b - g - 49 = 0. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -109*u**6 + 123*u**3 - 906. Find the third derivative of x(g) wrt g.\nAnswer: -39240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, n: 1, d: 1, m: 2, j: 1}. What is prob of sequence jz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 22. Find the third derivative of 12*t**2 + 0*t**4 + 11*t**2 - 25*t**2 + q*t**4 wrt t.\nAnswer: 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 4\/5, -0.1, 5, -10 in increasing order.\nAnswer: -10, -0.1, -0.07, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gywv when four letters picked without replacement from gpwpwwygywyppwwvy.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*l - 2. Suppose 0 = -5*w - 3*d - 19, -4*d = 5*w + d + 15. What is the units digit of (-2)\/(-2) - l - w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 21*j**3 + 4*j**2 + 9*j + 47. Is k(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -923*w + 11530. Give r(12).\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0, 0.03, -3, -1\/11, -40?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52359 + -27430. Let y be 382664138\/15351 + 4\/14. Let u = l - y. What is the common denominator of -59\/8 and u?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -6*m + 46. Suppose 13*u - 135 = m*u. Suppose w - 91 - u = 0. List the prime factors of w.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 461773 and 1586.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5265 - -5264.996385. Round d to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 10:29 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(3)*-1*-3).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*r + 2*j, r - 2*r = 3*j - 13. Let k be (r - 35\/(-15))*6. Let v = 15 - 11. Solve k*w - 10 = 0, -v*g - g = 4*w - 40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2465*g**2 - 895 wrt g?\nAnswer: 4930*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 - 13 = -l, r + 3*l - 15 = 0. Suppose -3*f + 5*f = r. Calculate the smallest common multiple of 8 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {u: 7, c: 3, t: 2}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - 0.3. Let r = 11\/2 - 29\/6. Which is the third biggest value? (a) i (b) 4\/7 (c) r (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24513204?\nAnswer: 2, 3, 2042767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2 = 2*s, 4*k - 31 = 5*s - 59 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.582 + 2.492. Which is the closest to o? (a) 0.46 (b) -2\/7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 99\/6*(-4)\/(-6). Let u(h) = h**3 - 11*h**2 + h + 15. Let g be u(p). Calculate the greatest common divisor of 286 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1110, -1, 2\/25, -2, 8?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 334 + -334. Sort -2, 1, r, -7 in decreasing order.\nAnswer: 1, r, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3888.325 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 8:11 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27.01 and -11.\nAnswer: 297.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 329*m**3*y - 10*m**2*y**3 + 17144*y**3 wrt m?\nAnswer: 987*m**2*y - 20*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w - 5 + 5 + (0*w - 4*w - w)*(2 - 2 - 2))*(6*w + 0*w**2 + 2*w**2 - 8*w).\nAnswer: 6*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 10 + 3 - 6*s - s**2 - 8 - 5*s. Give j(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*u + 93*u + 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 t when three letters picked without replacement from lltllltltlttltttltl?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 672*n**2 + 339*n**2 + 14 + 19 + 336*n**2 as h*n**2 + k + i*n and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4*(-4)\/7. Suppose 37*u - 32*u = 5. Which is smaller: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 30*s**2 + 126*s - 98.\nAnswer: 2*(s - 7)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-450) + 5\/300)*-8\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10713246, 10713247, 10713248?\n\"Answer: x + 10713245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.637 + 0.6643. Let n = g - 0.0273. What is the second smallest value in -25\/2, 2, -2\/5, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -754868 divided by 1\nAnswer: -754868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 0.3, -30, -47.2, -2\/13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - 11101101011?\nAnswer: -11101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*q - 12 = 4*z, -15 = -5*z + 5*q. Let f be 76\/16 + z\/(-8). Suppose 53 = f*b + 18. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + (-21 - -10 - -13) + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1118, 1, 54 in decreasing order.\nAnswer: 1118, 54, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2279816091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 3. Let c = -1 + -4. Calculate q(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7938881521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -861939 or -0.3?\nAnswer: -861939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 64733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 4 - (2 - 14). Suppose -2*n - j = -n - 8, j = n - x. Suppose -3*i - n = -6*i. Sort 8, 5, i in ascending order.\nAnswer: i, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*w + 18*w + 12*w + 14*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*l - 41 + 41)*(-248 + 34 + 557).\nAnswer: 14406*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 11*u**4\/8 + 131*u**2. Give a(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20541966 by 4.\nAnswer: 10270983\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 87 = -5. Let w = -22 + n. Let a(b) = 37*b + 3. Let k be a(3). Calculate the greatest common factor of k and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 6) to base 9.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2685*s + 165058 = -143717 for s.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4666.741 years?\nAnswer: 4.666741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46479\/16 - -2902. Let j = 3555 + -1094. Let f = -5019\/2 + j. What is the common denominator of f and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 - -130. Let y = o + 153. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/80 + ((-3)\/15)\/1. Suppose -4*y - 4*g + 1840 = l, -4 = g - 3. Is y a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 - 158 = 2*s - l, -5*l = 4*s - 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -103*a**3 + 47*a**2 - 6*a + 6. Let z(s) = s**3 - s**2 + s - 1. Let x(w) = m(w) + 6*z(w). What is the third derivative of x(y) wrt y?\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 821*l + 667*l - 1312344 + 1315871 wrt l?\nAnswer: 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t + 920 = -4*t. Suppose 11*h = t*h - 1479. What is the remainder when h is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*8*(-27)\/(-72). Solve -10 = -7*n + o*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + sqrt(180) + 3.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177 - 24*v**3 - 2*v**2 + 3*v**3 + 338 - 161.\nAnswer: -21*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 217.402 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 7*s**2 - 7*s - 51. What is x(6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l - 6*l**2 - 2*l**4 - 7*l**2 + 31*l**2 + 4 - 16*l**2 as u*l + z + t*l**3 + o*l**2 + m*l**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**2*r**2*t**2 + 2*f**2*t - f*t - 5*r**2*t - 9*r*t**2 - 6*r*t wrt t?\nAnswer: 6*f**2*r**2 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -223*x**3 + 6*x**2 + 2*x + 6. Let a(c) = -c**3 + 2*c**2 + c + 1. Determine -2*a(v) + q(v).\nAnswer: -221*v**3 + 2*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447, 884, 1313, 1734, 2147, 2552, 2949?\nAnswer: 3338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/255*46\/(28336\/374).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**2 + 47*u**3 - 9*u**2 + 15*u**3.\nAnswer: 62*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lalhalall. Give prob of sequence ha.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 3:58 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -29503224 at least as big as -29503224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*q + 68, -q + 3 = -2*y - 21. Let c = 25 - q. Solve -i + 3*z = c, 3*z + 3 = 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0097619 rounded to five dps?\nAnswer: -0.00976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6048 and 44009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 12. Solve -5*p - q = -8*p - 8, 0 = 5*p - h*q + 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*r**2 + 6*r**2 - 35*r**2)*(-2 + 2 + 2) in the form m*r**2 + n*r + u and give m.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 394\/4 + 5\/10. Solve l*x - 102*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69760269 divided by 3\nAnswer: -23253423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/7 + 5*v**3\/7 + 17*v**2\/7 - 3*v.\nAnswer: -v*(v - 7)*(v - 1)*(v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 84\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134856298.\nAnswer: 2, 41, 409, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/(217\/(-10)))\/((-9)\/(-63))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16960 divided by 4?\nAnswer: 4240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33\/5 in -8, -0.4, -1, 3, -5.8?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - w - 5. What is the remainder when g(-4) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from {n: 2, x: 2, f: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - 3*p + 6*p + 2*p - 3*p - p + p + 4 - 4 + 2*p - 4*p + 0*p + 3 - 3 + 2*p - p - 4*p + 3*p + (-5 + 0 + 3)*(p + 1 - 1) - 3*p - p + 2*p + 2*p - 4*p - 2*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*j - 319 = 0, -5*c + 25 = 4*j - 492. Does 11 divide ((-110)\/50)\/((-3)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4755277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcpcccccpcpcccccccc. What is prob of sequence pc?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + x + 1)*(-2 + 2 - 1 + (-1 - 5 + 0)*(3 - 4 + 3)).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/7 (b) -1 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86199\/5020 - 181\/251. Let q = p - 81\/5. Let g = -0.5 + 8.5. Is q equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120 + -10111?\nAnswer: -12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10828360, -5, -3, 3, -1.\nAnswer: -5, -3, -1, 3, 10828360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 o when three letters picked without replacement from oooddoddddldddddo?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 30 = c, -3*o + o = 10. Suppose 2*d - 2*v = -c*v + 64, 3*d + 4*v - 96 = 0. Suppose -d = -2*q + 12. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -123 + 336. Suppose -3292 = k*m - 217*m. What is m rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4 + 162*f + 165*f - 328*f. Determine t(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + -2 + 6 - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 16. Give c(19).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 4 (c) 2\/3 (d) 1 (e) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00101837422 to six dps.\nAnswer: -0.001018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1914741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 79*k**3\/6 + 3*k**2\/2 - 3*k. Let b be q(4). Suppose b = 4*p - 13. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 882681 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - 33. Let x = k - 51. Let f = -14 - x. Solve -2 = -f*s + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 259 - 262. Does 9 divide 1*(u - (-26 - -5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -3\/2, 179960\/9, -1\/4, 2\/3, -1.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*w - 31 = w, -46 = -5*i + 4*w. Suppose u - i = -4*u. Let n be (0\/u + -1)*3. Is -3 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 11*y - 30. Let f be c(8). Calculate the remainder when (-36)\/27 - 1766\/f is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22510989, 22510991, 22510993?\nAnswer: 22510995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 3)*(4 + g + 1 - 3).\nAnswer: 8*g + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and -3948.\nAnswer: 114492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 35*m**2 + 25*m + 6. What is the units digit of d(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3449.625 kilograms to nanograms.\nAnswer: 3449625000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 28*i + 104. Let q be x(-23). Put 0, q, 5 in descending order.\nAnswer: 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (33\/9 + -8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1913 - 1362. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y + 0*y)*((-4 + 1 - 5)*(2 - 1 - 2) - 2 - 2 + 6)*(117*y + 4*y**4 + 3*y**4 - 112*y).\nAnswer: 70*y**5 + 50*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 21*i**2 - 7*i. Suppose 3*f + 11 + 10 = 0. Suppose 3071*w - 3*q = 3070*w - 3, -q = w + 3. Let v(t) = -10*t**2 + 3*t. Give f*v(l) + w*c(l).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.2 - -8.2. Put -2\/9, 2\/25, o in descending order.\nAnswer: o, 2\/25, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -5.7. Let i = k - -3. Which is the third smallest value? (a) -4 (b) i (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16455 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1077152 divided by 26272?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 9161122.2 to the nearest 1000.\nAnswer: 9161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 4544.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6532\/651 - -208\/21. Is -3 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {r: 3, j: 3, s: 3, b: 7, t: 4}?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13572?\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 + k**2 + 8*k**2 + 2*k**2 - 18*k**2 + 5*k**2. Let c(w) be the second derivative of 23*w**3\/6 + 2*w**2 - w. Calculate z(c(y)).\nAnswer: 1058*y**2 + 368*y + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 3*h = 1740. Suppose -9 = -6*c + h. What is the remainder when c is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 11*s**2 + 7*s + 9. Give v(4).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 995766?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -326225 (base 7) in base 13?\nAnswer: -20183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -11. Suppose -35 = 5*p - 120. Let u = p - v. Solve -2*z - 1 - u = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2233 + -1905.2233. Let h = y + 1905.00005053. What is h rounded to 6 dps?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 + 23*q**2 + 18*q + 4. Let i be c(12). Let p = -70 + i. Solve 4*m + p = -14, -4*n - m = 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1162\/5 - 232. Let m be 48\/10 + (0 - 5\/(-25)). Which is the nearest to -0.4? (a) j (b) -4\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -361? (a) 5 (b) 6 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*v - 24 = 89*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3350 + 3347 + (0 - 19)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013350746 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 12:39 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -206070?\nAnswer: 206060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s**2 + 16*s + 58. Let p be q(-4). Suppose -5*r + p = -27. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3238 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: What is next in -197783, -395546, -593311, -791078, -988847, -1186618, -1384391?\nAnswer: -1582166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 379*i - 31050. What is u(120)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*d = 5, 0 = 2*w + 5*d + 29. Let q be 11\/15 + 8\/(-60). Put w, 0.3, q in increasing order.\nAnswer: w, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, o: 9, d: 1, p: 3}. Give prob of picking 1 p, 1 d, and 1 c.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -92 + (5 - -17) + 20.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13992*n**2 + 1160 - 580 + 3073*n**2 - 580 to the form g*n**2 + m*n + u and give g.\nAnswer: -10919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*v**2 - 7833*v + 59848?\nAnswer: -8*v - 7833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/(-2420))\/(3\/(-6))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -24.7?\nAnswer: -45.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035023060 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -4 (c) -2\/9 (d) 316\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7623)*1)\/(sqrt(729) + sqrt(729)*1) - (4*(sqrt(1008) - ((2 + sqrt(1008))**2 + sqrt(1008))) + -5).\nAnswer: 3467*sqrt(7)\/18 + 4053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49467 + -49467.00100077. Round t to 5 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15541\/956 + 3\/478. What is the common denominator of r and (-194)\/66*(-6)\/(-4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 2*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w + 7*w + 0*w)*(14*w**2 - 204*w**3 + 7*w**2 - 21*w**2)*(1 - 2 - 2).\nAnswer: -612*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.066 - 0.04.\nAnswer: -0.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.84 - -8.99. Let f = s + -7. Let d = f + -0.15. Which is the nearest to d? (a) -2\/13 (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1624 (b) -3\/5 (c) -85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, j: 3}. What is prob of picking 1 n and 2 j?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1 + 13*w + 1 + 5*w**2. Let x(a) = 18049*a**2 + 18007*a**2 - 36054*a**2. Determine b(x(q)).\nAnswer: 20*q**4 + 26*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**3 - 143*m**2 + 602*m + 8. Let z(n) = -22*n**3 + 573*n**2 - 2409*n - 36. Let h(x) = 9*y(x) + 2*z(x). What is the second derivative of h(r) wrt r?\nAnswer: 6*r - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, -3, 67, 25, 0, -5 in increasing order.\nAnswer: -5, -3, 0, 25, 67, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 2. Let t be (44\/6)\/((-1)\/(-21)). Let q be ((-66)\/t)\/(2\/(-14)). Determine f(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -2, 9, 0, -3, -15422 in decreasing order.\nAnswer: 32, 9, 0, -2, -3, -15422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -303 - -306. Solve j*r - 4*m - 8 = -5*m, 4*m + 4 = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h*q**3*s + 8*h*q**2*s**2 - h*q*s - h - 14*q**3*s**2 + 17*q**3*s + q**2*s - 46*q*s**2 wrt q.\nAnswer: -48*h*s - 84*s**2 + 102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 264*w**2 + 3780*w - 15552.\nAnswer: 4*(w - 48)*(w - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 2*k**2 - 48*k - 3. Let q be z(0). Sort 57, q, -10, 0 in decreasing order.\nAnswer: 57, 0, q, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5 + sqrt(112)*1)*3 + (sqrt(112) - (sqrt(112) + 1 + 4))*-3*2)**2.\nAnswer: 1032*sqrt(7) + 2857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 275634.3 rounded to the nearest one thousand?\nAnswer: 276000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (728\/52)\/((-4)\/(-6)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -2, -41294, 40?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f**4 - 6*f**4 + 16*f**4 + f**2 + (f**2 + 3*f**2 - 6*f**2)*(3*f**2 + 3*f**2 - 4*f**2) in the form t*f + x*f**2 + u*f**4 + o*f**3 + c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00129828959 to 7 dps.\nAnswer: 0.0012983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00649 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/6)\/((-6)\/(-99)). Let m = 14 - n. Suppose -2*c + 110 = 5*r, -4*c + 0*c = -2*r + 68. Calculate the greatest common divisor of r and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, -11, -12 in increasing order.\nAnswer: -12, -11, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 3:10 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15\/(-35)*-7*13?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53533?\nAnswer: 17, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1568 is divided by 1558?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*sqrt(10)*2)\/(sqrt(288) + (sqrt(288) - (sqrt(288) - (-4*sqrt(288) - sqrt(288)))) - sqrt(2) - sqrt(2)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6611 times -13?\nAnswer: -85943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*p = 647, -6*j + 212 = -5*j + 3*p. Suppose 0*z = -5*z - j. Let d = z + 46. Solve -2*h - 40 = -4*t + 2*h, 3*t = -d*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**2\/3 - 17165584*h\/3 + 73664318515264\/3 = 0.\nAnswer: 8582792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.89 + -2.89. Which is the biggest value? (a) 4\/5 (b) p (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a second?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 348 = 2130. Let d = 0 + 2. Suppose d*b = 4*b - c. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(6*j + 20*j + 2*j) - j + j - j.\nAnswer: 83*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5980021.73 rounded to the nearest one hundred thousand?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22701114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**2. Let v be 60\/24*(1 - -1). Suppose 5*c = -3*p + 42, 0 = -v*c - 0*p - 2*p + 43. Let t(d) = d**2 - c + 9 - 2*d**2. Give t(b(j)).\nAnswer: -25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619*i**3 - 1892*i**3 - 1425*i**3 + 939*i**3.\nAnswer: -2997*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 2)*(4*n**2 + n**2 - 4*n**2).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 j, and 1 t when four letters picked without replacement from jrfftqqqqtrfqfjqqf.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -8\/21*j**3 - 2\/35*j**5 - 2\/7*j**2 - 5\/21*j**4 + 0 + 15*j. Solve r(b) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 5 + 4 - (sqrt(68)*-3)**2)*-4.\nAnswer: -4*sqrt(17) + 2412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1170 = -u - 4*u. Let w(p) = 6*p - 215. Let z be w(14). Let x = z - u. Is x a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1201 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/1*(-2)\/((-16)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**2. Let o(l) be the third derivative of -39 + 0*l**4 + 0*l - 3\/20*l**5 + 0*l**3 - l**2. Determine m(o(z)).\nAnswer: -486*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 20 = -6. Suppose 22 = c - f. Suppose -4*g = c - 180. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/171 + -59\/342. Let f = 0.448 - -0.052. Which is the smallest value? (a) f (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 1, c: 1, b: 8, i: 4}. Give prob of picking 1 w and 1 a.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 12*w + 4. Let s be d(-12). Let o = 34 - 31. Let j(u) = 3*u**o - 4*u - 4*u**3 + 20*u**2 + 3 - 15*u**2. Determine j(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-18))\/((-2)\/12). Let f = 2.5 + -0.5. Let o = -1.9 + f. What is the nearest to o in 1\/5, -4, c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1658)\/8 - (-3 - 1). Let y = v - -4179\/20. Calculate the common denominator of -43\/5 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.3? (a) 0 (b) 21 (c) -0.3 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8*s - 58 = 2*o, 125 = -5*o - 5*s. Let b be (-352)\/56 + 15\/o + 1. Which is smaller: 1\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 3780961620.\nAnswer: -3780961620.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -264*c + 30623. Determine a(116).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - z + 3. Let c be o(0). Let l be -6*1\/c*4. Let f = l - -9. What is the smallest common multiple of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501 = 2*a - 0*c + 5*c, 4*a - 3*c - 1067 = 0. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**6 + 1771*p**5 + 2*p**2 + 91*p - 3 wrt p.\nAnswer: 120*p**3 + 106260*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Let j(x) be the first derivative of -x**3\/3 - 13*x**2\/2 + 16*x - 4. Let m be j(-13). Calculate the greatest common divisor of m and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9826193 to the nearest ten thousand.\nAnswer: -9830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 322 - 4100434141?\nAnswer: -4100433314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426539.2 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**2 + 935*a - 125. Calculate i(-187).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.09214 years to months.\nAnswer: 865.10568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 12. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32395 + 32408. Suppose 31 = 3*i + 3*a - a, -30 = -3*i - 3*a. Calculate the smallest common multiple of i and c.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -813*j - 57*j**5 + 616*j**5 + 195*j**5 wrt j.\nAnswer: 15080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 470*c**2*h**3 + 6*c*h**3 + 11*h**3 wrt c?\nAnswer: 940*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*w - 119, -10*w = -5*w + z - 154. Calculate the remainder when w is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 7*x - 4. Let y be (90\/75)\/(2\/(-10)). What is p(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-42)*(-42)\/8)\/6. What is the closest to 1\/2 in 18, 0.07, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. Let c be (-2 + -2)*-1 - 2. What is the closest to 0.1 in p, c, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**10\/7560 + y**6\/144 - 13*y**5\/60 + 21*y**2. Let d(p) be the third derivative of q(p). Differentiate d(t) wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 107 - 8555.798.\nAnswer: -8448.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3810658 years?\nAnswer: 4.5727896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/((k\/(k*k*(k\/(k*k**(-10)))\/k*k*k*k))\/k*k))*(k\/((k*k**(6\/5))\/k))\/k)**(-37\/2) assuming k is positive.\nAnswer: k**(1221\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*x**3 - 19*x**3 - x**4 + 2*x**2 + 2*x**4 to g*x**2 + b + u*x**4 + h*x + w*x**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*p - 724 = -3*b, b = 3*p + 191. Let r = -169 + b. Calculate the lowest common multiple of 11 and r.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 27306.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w = 6. Find f, given that 3*f**2 - 15*f**3 + 9*f**3 + 3*f**w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44096864 and 1120?\nAnswer: 220484320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 14. Calculate the remainder when 4 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 0*w**3 - 2*w**3)*(w + 2*w - 5*w + (4 - 4 - 2)*(4*w - w - w) + (0*w + 5*w + 0*w)*(-139 + 17 - 3)).\nAnswer: 631*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -2\/5 (b) 2 (c) 464\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17705522 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 8, 21, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 - 4*x**2 - 2*x - 2. Suppose -1 = b + 2. Let p be c(b). Let u = 75 + -42. What is the highest common divisor of u and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 2104550?\nAnswer: 10522750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2 - 8. Let w(j) = -5*j**3 + 2*j**2 + 3*j + 4. What is the remainder when w(h) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*b + 15 = -2*q, -15 = 3*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-5 + (-49 - (0 + -37)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3*g)**(2\/33)\/((g\/g**(-12\/7))\/(g**(-9)\/g)) assuming g is positive.\nAnswer: g**(-2881\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3736 is divided by 136.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362, -326, -2190, -5818, -11798?\nAnswer: -20718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2002*v**2 - 5*v**3 + 14*v**4 + 36 - 10*v**4 + 2002*v**2 in the form l*v**3 + q*v + s*v**2 + p*v**4 + c and give c.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + -10.107426773.\nAnswer: -9.707426773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037639514 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/2 - (-1)\/(-1). Let r be 59 + (-3 - a)\/(-1). Calculate the common denominator of ((-9)\/30)\/((-6)\/r) and -11\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -126, -202, -272, -336, -394?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -7*w**4\/72 + w**3\/3 + w**2\/3 - 43*w. Solve h(i) = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 592415 and 83699.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -756 (base 9) to base 7\nAnswer: -1542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 11:57 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*v + 27*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22524?\nAnswer: 2, 3, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6670 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 202495510?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*g + 15, -g - 3*z + 2*z = -4. Let u(s) = s - 39. Let w be u(0). Let j = 113\/3 + w. Are g and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 + 1)*(-8)\/(-10). Suppose 2*c = -3*j + 9 + h, -2*c - 5*j + 19 = 0. Calculate the remainder when (-6 - 0)\/(9\/(-24)) + 2 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1751 - 3*b**2 + 629 + 0*b**2 + b**2.\nAnswer: -2*b**2 + 2380","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2\/25, 4, 2\/23, 29, -2 in increasing order.\nAnswer: -2, -3\/4, 2\/25, 2\/23, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9151424?\nAnswer: 2, 23, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, 1, 20, 5 in ascending order.\nAnswer: -9, -1, 1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, 4, -157, -4 in decreasing order.\nAnswer: 156, 4, -4, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -569*h**9\/504 - 241*h**5\/10 - h**2 + 242*h. Find the third derivative of m(l) wrt l.\nAnswer: -68280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-392)\/(-12)))\/(3\/4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + l + 1 = 0, 2*t = 7*t + 3*l + 14. Let x be (-450)\/12 + t*(-1)\/2. Let k = 41 + x. Put -1, k, 2, -19 in increasing order.\nAnswer: -19, -1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 + 0.3. Let f(j) = 35*j + 3217. Let d be f(-92). Sort a, -10, d in decreasing order.\nAnswer: a, d, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*i**6*w - 43*i**5*w - 18*i**2 - 9*w wrt i.\nAnswer: 2400*i**3*w - 2580*i**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 j, and 1 r when three letters picked without replacement from {q: 8, l: 3, r: 2, d: 2, j: 5}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11206729*j**3 - 3658802*j**2 - 2.\nAnswer: -67240374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -722 - -745. Calculate the highest common factor of 989 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, 7, -400?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1337101093488909 - -4\nAnswer: -1337101093488905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*-4*3\/(-6). What is the remainder when -1 + -1 + (-114)\/s is divided by (3 - (-20)\/(-6))*-57?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-20)*-2 + (134\/20 - 4). What is the closest to 0.05 in b, -0.2, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0968541 centimeters to micrometers.\nAnswer: 968.541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/10)\/(26\/(-260)). Is -3412*t*(-5)\/40 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*i - 5*i - 3*i + 8*i to q*i + g and give q.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -633 - -634. What is the fourth biggest value in -2\/19, 0, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -2*z**7\/3 + 16*z**6\/15 - 1631*z**4\/12 - 4375*z. Find the third derivative of v(o) wrt o.\nAnswer: -1680*o**2 + 768*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 645 and 165.\nAnswer: 7095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/6 + 374\/66. Is 30\/11 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**5 + n**4 + 11*n**3 + 11*n**2. Let t(i) = -3*i**5 - 4*i**4 - 33*i**3 - 32*i**2. Let a(l) = 17*b(l) + 6*t(l). Factor a(k).\nAnswer: -k**2*(k + 1)**2*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -10*q**2. Let l be 29 + -29 + 6\/(2 - 0). Let n be (6 + -3 - 34)\/(l\/(-12)). Let m(v) = -124*v - v**2 + n*v. Give o(m(j)).\nAnswer: -10*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 129715.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -344. Suppose 0 = y - 5*o - 165, 3*o - 769 + 184 = -3*y. Let j = a - y. Round j to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64088*j**4 - 743*j - 64089*j**4 - 1903*j + (2*j**3 + j**3 - j**3)*(0*j + j + j).\nAnswer: 3*j**4 - 2646*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*k = -4789, -d - 2313*k + 2317*k = -1608. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 25685?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/6081532 and 73\/1992226?\nAnswer: 115549108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40.9 - -47. Let l = o + -1.1. Put 0.3, -1, l in ascending order.\nAnswer: -1, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -613 - -298. Let j be 390\/t - 8\/(-14). Suppose -2*v = v + 6. What is the fourth smallest value in -3, j, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252)\/(-4704)*-42*64\/(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13454598 and 10?\nAnswer: 67272990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.042\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4 = -5. Suppose z - 8 = -q. Suppose -4*x = -q*r + 3*r + 26, 0 = -2*r - 2*x + 20. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 2:32 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhpppwppppeprwpp. What is prob of picking 1 r, 1 p, and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3*j + 2 - j)*(-2 + 0 + 3) as o + z*j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, n: 1, r: 2, t: 6}. Give prob of sequence hrnt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 - 58*q - 170. Give h(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4500 and 4142375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2 + (sqrt(96) - sqrt(6))\/sqrt(2) - -5*sqrt(432)*-2))**2.\nAnswer: 936*sqrt(3) + 41083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r - r)*(1 + 3 - 2)*(1 - 11 - 6)*(2 + 3 - 4)*(-2 + 6 + 1).\nAnswer: 320*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 20. Suppose -396 = -3*x + 3*y, y = 3*x + z*y - 376. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1147732567.67+101\nAnswer: 1147732668.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/1239 in 5, 5\/3, -2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*(b*b**(-1\/67))\/b))\/(b*(b\/(b\/(b*b**(-3)*b)*b)*b*b)\/b*b))\/(b**(2\/5)*b\/b**(2\/17)) assuming b is positive.\nAnswer: b**(-18608\/5695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 10) to base 12\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/12 - 9\/6. Let r be ((-15)\/v)\/(3\/(-8) - 0). Let q = 41 + r. Does 31 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148 + -152. What is the remainder when 16 is divided by 6\/(z\/(-22) - (-360)\/198)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 1 = 5*q - 0, 0 = -2*u + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 6172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = 5*l - 9*r + 57, 0 = 5*r - 15. Which is the third biggest value? (a) l (b) -4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (-15 - -71) - (-20 - 16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9677473 or -9677483?\nAnswer: -9677483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/2071902 and 197\/20719020.\nAnswer: 20719020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + -1 + -5 - -13. Let p(m) be the first derivative of -10 + 0*m + 9\/4*m**4 - 6*m**2 + 0*m**q. Find the second derivative of p(l) wrt l.\nAnswer: 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 0, 3*d - 805 = -3*h + 449. Let s = h + -345. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plrprrr. Give prob of picking 1 l and 2 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 100\/(-110)*(-11)\/(-2). Put z, -310, 2 in descending order.\nAnswer: 2, z, -310","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 15*w**2 + 4701*w + 18799. Determine k(-4).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 8576, 1.5, -1\/3, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4 + 3 + 11 + 8*f. Let p be 704\/72 - (-2)\/9. What is the tens digit of u(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105387 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50\/10 + 0 + -1 - -3 and 1\/3 + (-26)\/(-3).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**4 - 3055533*c**3 + 20*c**2 + 6*c + 311939 wrt c?\nAnswer: 144*c - 18333198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 5. Let f be c(-10). Let l = 6 - 5.8. What is the third biggest value in 0, l, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p + 31*p + 50 = 0. Solve 0 = -4*q + 5*t + p, 0*q + t + 2 = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 2*f**2 - 101*f + 77. What is b(-13)?\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -4685918.\nAnswer: -1\/2342959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 7 = 28. Which is the second biggest value? (a) t (b) -3\/2 (c) -0.08 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 884 = -41*k - 28*k + 121*k. What is the remainder when 49 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4438 divided by -2219\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9077 - -9020. Let k(s) = -3*s**3 - 2*s**2 + s - 1. Let f be k(-3). Let d = r + f. Which is the smallest value? (a) -0.5 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 - 3*o + 6. Let g(y) = -y**2 - 2*y + 3. Suppose -5*n - 28 = -3. Let v be ((-10)\/n - -2) + 0\/1. Let t(a) = v*j(a) - 7*g(a). What is t(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98a40a (base 14) to base 15.\nAnswer: 6c3953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - y**2 + 2*y**2 + (2 - 2 - y**2)*(-1 - 3 + 5) - 3*y**2 + 5*y**2 - 4*y**2)*((-1 + 0 - 1)*(-1 + 6 - 2) + 5 - 4 + 1).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59660 is divided by 11908.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2, -6191, 0 in increasing order.\nAnswer: -6191, -20, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-7)\/(-42) - 1\/(3\/(-5)). Let k = 2\/31 - -118\/93. Solve k*o - 2\/3*o**2 - l = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o - 53 = -3*q, -q + 157 = 4*o. Calculate the remainder when o is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1347991*p**3 + 1835*p**2 - 3670*p + 1835. Let j(q) = -5145*q**3 - 7*q**2 + 14*q - 7. Calculate -1835*j(x) - 7*n(x).\nAnswer: 5138*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**3\/7 - 538730*y**2\/7 + 9158988*y\/7 = 0.\nAnswer: -269382, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -525*g**2 + 5*g. Let s = 6 + -7. Let f = 6 + s. Let k be o(f). What is k rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, i: 2, c: 9}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.9 and 94?\nAnswer: -366.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -2)\/(-3) - (-590)\/30. Suppose -g*i + 18486 = 3086. List the prime factors of i.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/r**(-1\/3))**(-21\/2)*(r\/(r**9*r))\/r**(-3) assuming r is positive.\nAnswer: r**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdzz when four letters picked without replacement from {d: 1, o: 2, z: 11, t: 5}?\nAnswer: 55\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 3*c**5\/20 - 2*c**4\/3 + 12*c + 10. Let h(l) be the first derivative of u(l). What is the third derivative of h(f) wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvv. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2.2, 97, 1, 0.01, -72?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -3. Let v = -30.992 - -29. Let l = 0.008 - v. Which is the second smallest value? (a) -3\/7 (b) l (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d + 12*d - 275 = 187 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0.1, -40, -2\/7?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*y**3 - 218*y**2 + 218*y**2)*(0 + y + 0) + 16 - 16 - 10*y**4.\nAnswer: -38*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 48, 155, 356, 681, 1160, 1823?\nAnswer: 2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6043 - -392793\/65. What is the second smallest value in -5, d, 4, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 282 - 282.2. Which is the closest to -1\/4? (a) -2 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -11 - (646 - 634).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/19663 and -35\/8427?\nAnswer: 58989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (371 + 20\/(-10))*-1. Is w bigger than -369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 4*y + 38. Suppose -4*o = -5*i - 459, y*o - o = -5*i + 429. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 4*l**2 - 4*l + 1. Let k = 21 + -24. Determine v(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6519 greater than or equal to -6516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 10*c - 415, 2*c - 89 = 5*a - 0*a. Solve 272*u = 278*u + c for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/(-3))\/(-62*(-24)\/3348)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1876, -1073, 2392, 8519, 17308, 28759, 42872?\nAnswer: 59647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/7 + 18025710*j\/7.\nAnswer: -3*j*(j - 6008570)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**6\/120 + g**5\/12 - g**4\/12 + 5*g**2 + 8. Give f(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*a**3 + 0*a - 6*a - 54*a**4 + 6*a + 56*a**4 - 5 to t*a + s + y*a**4 + o*a**3 + q*a**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20.9716533593 - 4\nAnswer: -24.9716533593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30\/29, 2, -1.\nAnswer: -1, 30\/29, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*u = 72*u - 5*t + 7359, 0 = 4*u + t - 14691. What is the greatest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or 20?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1993 - -725. Let h = 5158 - o. Suppose 0 = -29*b + 19*b + h. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -1 - (-10)\/1. Let s be 3*(-1 + 3\/(-9)). Let i = 6 + s. Solve 4*u = i*u + r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1\/g)\/g**(-2\/5))**3 assuming g is positive.\nAnswer: g**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f - 1. Let k be j(-6). Let p = k - -17. What is the third derivative of t**4 + 6*t**2 - 8*t**p + 0*t**2 wrt t?\nAnswer: -168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + w**2 + w + 1. Let q(h) = -3*h**4 + 19*h**3 - 47*h**2 + 25*h - 2. Let f(x) = -2*j(x) - q(x). Factor f(d).\nAnswer: 3*d*(d - 3)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**4\/12 + 74*a**2. Let u(w) be the first derivative of 9*w**3 + 181. Determine u(r(n)).\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 665482?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 6.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + 2*v - v**2 + v**2 - 2*v**2 - v**2 + (4*v - v - 2*v)*(4*v - 4*v - v) + (13 - 62*v - 13)*(0*v + 2*v - 4*v) as o*v**2 + u + i*v and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f. Suppose -o - 2 = -0*o. Let s(h) be the third derivative of 1\/24*h**4 + 0*h + 0*h**3 + 0 - 4*h**2. What is o*j(w) - 22*s(w)?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/5429 and 46\/68503?\nAnswer: 6096767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36413 and -0.0552?\nAnswer: -2009.9976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32673 is divided by 1792.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31795749?\nAnswer: 3, 59, 59879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -20. Let s = -14 - l. List the prime factors of (-4)\/(-1) + 7 + s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1509045 - 54332137\/36. Let w = v + 1078\/9. Let q = -62 - w. Which is the third smallest value? (a) q (b) 0.4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 341848 and 728.\nAnswer: 2392936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9947319, 9947332, 9947335, 9947322, 9947287, 9947224?\n\"Answer: -h**3 + h**2 + 17*h + 9947302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 163. Suppose 4*o - 40 - 204 = 0. Let l = z - o. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 525636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.83037 rounded to 1 decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37698, 37700, 37702, 37704, 37706?\nAnswer: 37708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 times -24183.1?\nAnswer: 3288901.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/68 - -3\/17. Let p be 3 + 3*3\/9. Let i be (1 - -1) + (3 - p). Does i = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g + 3 + 0 + 1 + 13*g. Let f be d(-2). Let n = -16 - f. Calculate the highest common factor of n and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37765\/8 + 4733. What is the common denominator of 74\/(-46) + (-3 + 2)*-3 and z?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k + 53*k = -38. What is the second biggest value in k, 1\/4, -1\/997?\nAnswer: -1\/997","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 22 = -4*u, -6*p - 5*u + 32 = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212102012 + -1101?\nAnswer: 2212100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3045552)\/(-216) + -4 + 14 + 4\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, x: 1, j: 3, o: 2, c: 3, v: 3}. Give prob of sequence ojuj.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 7. Let k be n\/((-2)\/2) - 0. Suppose -3*g + 22 - 4 = 0. Put g, -5, k in descending order.\nAnswer: g, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 5*c + 46 - 23.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)*-2 + sqrt(52))\/sqrt(2))\/(sqrt(8)\/sqrt(4)*-3).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 149 = -26*k - 38*k, -10*y - 28 = -14*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16089, -32173, -48253, -64329, -80401?\n\"Answer: 2*v**2 - 16090*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 = -3*w + 3, 4*w - 12 = -x. Let o(m) = -4 + 2 - 6*m - w + 4 - m**2. Suppose -y + 2*a + 4 = -2, -11 = 4*y - a. Calculate o(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*b + 23, -3*n + 5 = -4*n - 4*b. What is the remainder when 18 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from paahoppotaa. Give prob of picking 1 t and 1 p.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 5*t + 28 as m + f*t and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000991602 to six decimal places.\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -357, -359, -361, -363, -365?\n\"Answer: -2*m - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.049 in 2\/69, 1\/4, -2\/5?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 403*g**3 + 76*g**3 + 2*g**2.\nAnswer: -327*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/10 - w**4\/2 + 11*w**3\/5 - 8*w**2\/5 = 0. What is w?\nAnswer: -8, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2857 + 6.0407. Round h to one dp.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (103 + 148 - 220)*(3 + 0 - 4)*(2*n - 2*n - 2*n) as d + x*n and give x.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1235 - 1235.2. Which is the nearest to 9? (a) o (b) -2\/3 (c) -0.5 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4796 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 0*k + 0 + 1\/60*k**5 + 0*k**3 + 0*k**4 - 9*k**2. Let q(p) = -24*p**2. Determine q(o(c)).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/3*z + 1\/12*z**2 + 5\/4 = 0. What is z?\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*f**2 - 60*f**2 - 55*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16090499 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**3 + 40*n**2 - 36*n = 0 for n.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = 5*r + 5*w + 123, -8 = 4*w for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-9))\/(2\/(-33)). Is (-22)\/(-4)*(x + 13) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 261598, 523193, 784788, 1046383?\n\"Answer: 261595*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 5*g**2 + g + 3. What is l(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 x when four letters picked without replacement from {x: 5, e: 7}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 27*g - 40. Let i be n(15). Suppose -m + 3*u + 101 = 0, -i*m + 2*u + 571 = 79. What is the greatest common factor of 112 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b6b + 9?\nAnswer: -3b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41241318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 21. Let h be (-3)\/9 + -2*(-1)\/6. Are y and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 797 and 7.\nAnswer: 5579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**5 - 85*r**4 + 185*r**3 - 95*r**2.\nAnswer: -5*r**2*(r - 1)**2*(r + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -29 + 29)\/(-1*(-3)\/(-6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3907 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 2931*m + 779*m - 702*m in the form c*m + s and give c.\nAnswer: 3008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(36)\/sqrt(2)*6)\/(sqrt(72)\/(sqrt(12) + -2*sqrt(12))).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -7521?\nAnswer: 7521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + 158*l - 89. Let b(m) = -m**2 - 95*m + 45. Let p(a) = -5*b(a) - 3*r(a). Determine p(10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = z, 2*b - 4*b + 2 = 0. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 + -346151?\nAnswer: -346211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3062, -12202, -27436, -48764?\nAnswer: -76186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-34))\/(110\/8)*680\/(-1904)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -1\/7 (c) -814 (d) 2\/5 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -1\/24*z**3 + 12*z + 0 - 1\/96*z**4 + 0*z**2. Let x(h) = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 724.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 70 = 5*m, 1 = -m + 3*y + 15. Let p be (-88)\/(0 - (-2 + 1)). What is the least common multiple of m and p\/(-9) + 4\/18?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30773, -30772, -30771, -30770, -30769, -30768?\n\"Answer: v - 30774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*-1)\/(6\/(-219)). Let p = -11 + i. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 1018, 2305, 4110, 6433, 9274?\nAnswer: 12633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 251 + 253. What is the units digit of (-2500)\/(-10) - 4\/(1\/t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 516 * 0.2.\nAnswer: 103.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2)*y*(y\/y**(-7))\/y*y*y*y*(y\/(y*y**(2\/7)\/y*y))**(4\/11) assuming y is positive.\nAnswer: y**(685\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8175\/19 + 6889\/16. What is the common denominator of -69\/80 and z?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - i - 6. Let d be b(-6). Let j = -23 + d. Solve -3*w = h + 16, w + 4*h + 7 = -j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let w = -8.3 - -8.6. Let a be 3 - (3 - 6\/(-33)). What is the closest to h in w, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 + 6*s**2 + 0*s**2 - 24*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = 2. Suppose 8 = 2*v + m. Suppose -x - v*x = 0. Solve -5*l = -x*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(104) - sqrt(104)*-1)*-4)\/sqrt(8).\nAnswer: -8*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 241 and 1581.\nAnswer: 381021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -170*w + 418. Let k(h) = h**2. Determine k(n(r)).\nAnswer: 28900*r**2 - 142120*r + 174724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -33.6642 and -0.04 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 15*x**2 - 19*x - 32*x**3 + 18 + 33*x**3 - 20 + 44*x. Determine v(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 302?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0323642 rounded to 4 dps?\nAnswer: -0.0324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 + 100*s**4 - s**3 - s**2 + s + 2*s**2 - 98*s**4 as x*s**2 + r*s**3 + p*s + c*s**4 + m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 353*d**2 + 1825*d**2 + 532*d**2 - 241.\nAnswer: 2710*d**2 - 222","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26858135 rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 2\/3*a**4 + 3*a**3 + 0 + 38*a + 2*a**2. Factor p(z).\nAnswer: 2*(z + 2)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -954 (b) 5 (c) -845\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(20\/(-29))*4. What is the greatest common divisor of j and 17226?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0509 or -32?\nAnswer: 0.0509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30350891 a multiple of 1805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156719 = -28*f + 662315. What are the prime factors of f?\nAnswer: 3, 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3*291\/(-621)*9\/(-24) and 55\/24?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2566*d + 25836 + 14084 + 26796 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 157\nAnswer: -1\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5314045690035)\/3553 - (-2)\/(4\/6). Let j = -1495655304 - n. Let z = j + 4958. Is 0 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2443 - -0.9443. Which is the smallest value? (a) -1\/4 (b) 1 (c) 37 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3)*(-1 + -2). Let n be 1\/((-15)\/(-6) + l). Suppose a = -2*h + 3*h + 5, 5*a - n*h - 19 = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z - 20 = -4*b, -5*b + 18 = 3*z. Let t(v) = -6*v - 5*v**2 + v**3 + 0*v**2 + 0*v. Let u be t(b). Which is bigger: u or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 346, 344, 342?\n\"Answer: -2*g + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*q**2 + 1 + 35*q**2 + 92*q**2 in the form t + r*q**2 + u*q and give r.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 517470, 517478, 517488, 517500, 517514, 517530, 517548?\n\"Answer: p**2 + 5*p + 517464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97321 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from axxaxxnxuaaxxnxaxu?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 3*s + 30, -18*s - 30 = -4*j - 20*s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -88? (a) 55 (b) 35\/3 (c) 6 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 923 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 119927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**2 + 9*a. Let u(j) = -j**2 + 2*j. Suppose 15 - 40 = -5*d. Let p(l) = 5*l + 2. Let o be p(d). Suppose -r = 2*r + o. Give r*u(w) + 2*s(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 + (0 - -2) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**3\/2 + 1293261*i**2\/2 + 69688177272*i - 69688823904 = 0. Calculate i.\nAnswer: -215544, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 296 times -1237\nAnswer: -366152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 1. Let z be q(-6). Suppose 0 = -741*u + 1768*u + 770 + 675 + 1636. What is the biggest value in 25\/2, z, u?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/36)*f**10*(f**(-15)\/f)**44)**(-42) assuming f is positive.\nAnswer: f**(174629\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 0 + 0*y**2 + 1\/80*y**5 - y + 0*y**3 + 0*y**4. Determine f so that s(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257408 divided by 2004.\nAnswer: 64352\/501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p**2 - 255*p + 1006. What is m(4)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110552815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from rmrmrrmmrrzurwmrr?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 2. Let j(p) = -6*p - 8. Let f(g) = j(g) + 4*w(g). Let y(l) be the second derivative of -4*l**3\/3 + l. Give f(y(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11848 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.082 - -3.218. Let y = u + -2.8. Let i = -1.1 + 0.1. What is the nearest to i in 2, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 20*t**2 - 100*t + 5. Let b be ((-20)\/22)\/(16\/(-88)). Let h be z(b). Let w = 3 + -2. Sort 3, h, -3, w in decreasing order.\nAnswer: h, 3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -y + 95, -53*m + 48*m + 3*y - 52 = 33 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:48 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbbbbdbdbbdbdddddddb. What is prob of picking 2 b?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*c - 305*c + 13*c.\nAnswer: -253*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/874 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s. Let m(b) be the second derivative of b**3\/3 + 9*b**2\/2 + 2*b - 6. Determine m(l(u)).\nAnswer: 16*u + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 7*h - 1. Let u be k(4). Let g = -15 + 74. What is the remainder when g is divided by 5 + 162\/(-30) + (-77)\/u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7827841283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -228*68\/(-2040)*((-2)\/(-42))\/(2\/30).\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*q + 1251 + 2521 = 0 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 29 + 15 + (-27 - (-31 + 4))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2359068 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13478, 13582, 13686, 13790, 13894, 13998?\nAnswer: 14102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.982, -1\/3, 2?\nAnswer: 4.982","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -9*l**3 - 42*l**2 - 24*l = 0.\nAnswer: -4, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3985 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a hour in seconds?\nAnswer: 34560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + ((-9)\/3)\/(-3). Let g(h) = 24*h + 3. Let n be g(-2). Let w be (n\/80)\/(j\/(-12)). Is 5 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 2*r**2 + 2*r - 7. What is m(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 a when four letters picked without replacement from gagaagggaggaaa.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4181, -8383, -12599, -16835, -21097, -25391?\nAnswer: -29723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -654, -2632, -5940, -10584, -16570, -23904, -32592, -42640?\n\"Answer: -v**3 - 659*v**2 + 6*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*t - 42441 = -20*t - 11*t. Calculate the remainder when t is divided by 97.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, i: 9, m: 9}. Give prob of picking 1 p and 1 i.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -95\/2. Factor y + 15\/2*l**2 + 6*l + 3*l**3.\nAnswer: 3*(l + 1)**2*(2*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*m - 2*k, -5*k + 0 = 5*m + 5. Suppose 0 = 3*q - m*u + 2, -q - 4*u = -0*u - 18. Suppose -3*j - q*w + 1118 = -3*w, 5*w = 5*j - 1880. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -19 + 19. Suppose 2*y + 5*l - 95 + 14 = u, 2*l = -5*y + 234. Calculate the highest common divisor of y and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 5*k**2 + 1 + 4*k + 0. Is x(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/(-15) + 82\/36 and (-108)\/10*(-4 + (-63)\/(-16)).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 1:31 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.00081l?\nAnswer: 6000.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 117*t - 113*t - 88, 2*c = 2*t + 68. Solve 0 = -2*h - 4*x + 2, -c + 24 = 5*h - 3*x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1599 is divided by 229?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 - -6608. Does 26 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 13*z**6\/30 - 17*z**3\/3 + 9*z. What is the second derivative of g(m) wrt m?\nAnswer: 156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232413181 and 18249.\nAnswer: 6083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 9. What is the smallest common multiple of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2))**(-2\/85)\/((s**(2\/5)*s)\/s**(-1\/5)))\/((s*s*s\/(s*s**1))**(-1\/2)\/((s\/s**(-1\/4)*s)\/s**(1\/3))) assuming s is positive.\nAnswer: s**(881\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (-12 - -4 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 1109*b - 1111*b + 51, -4*b - 4*c = -2*b + 48 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7172093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88\/3 - 703\/24. Let h(j) be the third derivative of 0 + 0*j - b*j**4 - j**2 + 2\/3*j**3. What is the derivative of h(r) wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21602 - -21599.3. Which is the closest to -5? (a) -1 (b) 4 (c) -3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**7\/210 + 67*u**6\/480 - 337*u**5\/240 + 13*u**4\/3 - 7*u**3\/2 + 225*u**2. Let x(o) = 0. Calculate o.\nAnswer: -21, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1952 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -6426033 to the nearest 1000.\nAnswer: -6426000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 318 - 84. What is the remainder when -514*((-2)\/(-9) - j\/324) is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 7488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1912 and 5379412.\nAnswer: 10758824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 9*q**2 - 9*q + 12. Let t be d(-10). Factor 4*v**2 + 4*v - 16*v**3 - 3*v**5 + 14*v**4 - v**5 + 0*v - t.\nAnswer: -2*(v - 1)**4*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*i - 75*i + 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 54413536 and 461.\nAnswer: 54413997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.2, -160, -1?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**6\/40 - 231*k**5\/4 + 297219*k**4\/8 - 296065*k**3\/2 + 1774083*k**2\/8 - 41*k + 4. Factor l(y).\nAnswer: 3*(y - 769)**2*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270\/10*(-19)\/(-19)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86000014?\nAnswer: 2, 31, 751, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(12\/4 + -2). What is the nearest to o in -3, 3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_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: What is -0.6615 times 0.006?\nAnswer: -0.003969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**3 + 248*t**2 - 248*t**2.\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 115 = 3*f + 3*k, 0 = f - 3*k + 33. Calculate the common denominator of (2\/15)\/((-288)\/520) and (f\/24)\/((-6)\/4).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 2*q**2 - 562*q + 563. Determine x(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599132889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 815 - 144 - 9*i - 313 to the form s + g*i and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2264 by 13.\nAnswer: 2264\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*c - 24 = -5*c, 4*k - 4*c = -8. Suppose 5*a = k*n + 247, 4*n = -4*a + 9*a - 251. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = t + 4*o - 47, 5*t - 195 = -3*o. Calculate the remainder when 120 is divided by t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1481636904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 2. Suppose -k*f + 16 = t, -2*f - 2*t = t - 9. Let h = 5 + f. What is the remainder when 22 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o + 23*o = -3*p + 54*o + 90, 52 = -2*p - 2*o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + g**2 + 2*g**2)*(g**3 + g**3 - g**3 + (-2*g**2 - 3*g**2 + 0*g**2)*(-1 + 1 + g) + g**3 - 3*g**3 + 3*g**3).\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11244, -11520, -11980, -12624?\nAnswer: -13452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o + 16 = 0. Let y(p) be the third derivative of p**6\/60 - p**5\/12 - p**4\/6 + p**3\/2 - 443*p**2 + 8. Calculate y(o).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*l - 375 = 0, -132 = -2*g - l + 3*l. What is the least common multiple of 18 + (-11)\/22*34 and g?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164734386 to the power of 1\/2, to the nearest integer?\nAnswer: 12835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5424, -21646, -48654, -86448, -135028, -194394, -264546?\nAnswer: -345484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 w, and 1 p when three letters picked without replacement from mpnmfmpcwmfcpwn.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 14, 15, 38, 95, 198, 359?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -13.5237, -0.1, -2\/7, 1, 4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*n + 2*i, n + i = -8. Let h be (n - -6) + (0 - -1). What are the prime factors of (h\/2)\/(-2 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 1213?\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j*j*j*j*j**(2\/5)*j**(-22)*(j**(3\/4))**(15\/8) assuming j is positive.\nAnswer: j**(-2271\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 12:27 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 13 = 3*d, -2*d + u = -u - 12. Let j = -0.08 + 0.38. Which is the smallest value? (a) 3 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.1 (b) -1 (c) -1381 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.1, 5, -2, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.04107806059 minus 2.78?\nAnswer: -3.82107806059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + n**4 - 2*n)*(-31 - 139 - 66) + (2*n**3 + 4 - 4)*(5*n - n - 3*n) as z*n**4 + q*n**2 + i + o*n + f*n**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 + 104. Calculate the remainder when h is divided by 6\/4*528\/72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - 3*r**3 + 2*r**2 - 13*r**3 + 5*r**3 - 15*r**3 + (0*r**3 - 3*r**3 + 2*r**3)*(1 + 2 - 1) - 1 + 1 - 2*r**3.\nAnswer: -30*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j = 7 + 7 + 38. Solve 0 = b - o + j, 22 - 18 = 4*o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/((j*j*j*j\/j**10)\/j)))\/((j\/((j*j**(-8)*j*j)\/j*j*j*j)*j)\/j*j))\/((j\/j**(6\/7))\/(j\/((j*j*j**(1\/3))\/j))) assuming j is positive.\nAnswer: j**(-262\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i\/(i*i**(7\/8)\/i)*i)\/i)\/i)\/((i**(-4)*i)\/i) assuming i is positive.\nAnswer: i**(41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 197*m + 2616. Determine n(-13).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21687030 * -4\nAnswer: 86748120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-6))\/(10\/24 + -1). Are -2 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 1, f: 2, x: 2}. Give prob of picking 1 x, 1 j, and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3854552771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 162449605993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-676)\/(-182) - (1 + (-9)\/7). Suppose -19 - 40 = -g*d - i, -74 = -4*d + 2*i. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + 3*p - 4*p)*(0*p + 0*p - 3*p + 2) to the form u + r*p + a*p**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -20*s**3 - 36*s**2 - 34*s + 26. Let k be 1*((-32)\/4)\/4. Let f(h) = -h**3 - h + 1. Let z(d) = k*a(d) + 20*f(d). Factor z(u).\nAnswer: 4*(u + 2)**2*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + 2*h. Suppose -2*t + 34 = 5*v, t + 5 + 6 = v. Suppose -4*b - 8 = -v*b. Give x(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**5 - 5*f**4 - 73*f**2 + 11577*f?\nAnswer: 40*f**3 - 60*f**2 - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121788 + -17455. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -595 + 1148. Let v = -156 + w. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -146, -1196, -2946, -5396?\n\"Answer: -350*n**2 + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**3 + 5 - 5)*(-a + a + 2*a) - 13410*a**4 - 19*a + 1724*a**4 + 19*a + 2*a**2 to the form m*a**3 + n*a**2 + c*a**4 + f + z*a and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16697520 to the power of 1\/2, to the nearest integer?\nAnswer: 4086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -205430 divided by -22?\nAnswer: 102715\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1602*c**2 + 77*c - 234. What are the prime factors of x(3)?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2310 - -4319. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g. Suppose -3*w + 5*m + 3 = -28, 23 = 4*w - 3*m. Determine l(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 551\/18 - 6025\/198. What is the third biggest value in -0.4, 0.06, m, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 858490 - 247474 = 14*w. What is the ten thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - ((-4)\/(-6) + (-180)\/(-54)). Let x(w) = -w**3 - 4*w**2 - 7. Calculate x(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001628 rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -24 (b) -0.2 (c) -1.56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**3 - 6*j + 6. Let q(r) = 154*r**3 + 187*r - 187. Determine 187*b(f) + 6*q(f).\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 + j - 6. Let s(c) = 3*c**2 + 2*c - 5. Let z(a) = 5*s(a) - 4*u(a). Let n be z(5). Is (-81)\/(-6)*n\/6 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 6359\/9674 - 1. Let u = 10\/691 + w. Find the common denominator of u and -55\/49.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 0, 132*p - c = 135*p - 2563. Solve 181 = -115*n - p for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2285580)\/(-42) + 7 + 5 + 96\/(-21).\nAnswer: 2, 3, 47, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 9:12 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2800 - 2797. Which is the nearest to t? (a) -7 (b) 2 (c) 91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160797*36.6\nAnswer: 5885170.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*d + 169*d - 47*d + 4 - 50*d - 26*d.\nAnswer: 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1050 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3022 + -27256\/9. Calculate the common denominator of u and 7\/271.\nAnswer: 2439","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/245*-7 - 58\/(-10). Suppose -f*l + 16 = -14. Suppose l*a = 6*a. Solve a*b = -5*w - 4*b - 5, 5*b - 25 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4387.448 micrograms?\nAnswer: 4.387448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 73 = -x. Let m(j) = j**2 - 3*j - 13. Let u be m(x). Solve -4*c + 2*r + 5 = 7*r, 5*c = -u*r + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*2*(-6)\/72*1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 238502 * -3\nAnswer: -715506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -7, -287, -1, 1, -5 in decreasing order.\nAnswer: 1, -1, -5, -7, -9, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -251*n - 1506. Let k be d(-6). Put -1, -3, -115, k in ascending order.\nAnswer: -115, -3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79739\/6 - 13286. Factor 0 + n*f**2 + 2\/3*f - f**3.\nAnswer: -f*(f - 4)*(6*f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 16*t**2 + 22*t**2 + 37*t**2 - 37*t**2 + 0*t**2. Let d(w) = -7*w. Give d(o(h)).\nAnswer: -266*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*t - 76 = 234. Solve 0 = 2*g + 2*g, 0 = -5*m - t*g + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2823331 is divided by 162.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -20*l + 22*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1870)\/(-425)*(-20)\/(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3500)*1 + sqrt(3500) + sqrt(3500) - 2*sqrt(140))*6)\/(1*sqrt(7)*-1*-4*-3).\nAnswer: -13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 5*d**2 + 1. Let j(w) = 67*w**2 - 5*w + 5. Let r(q) = -81*q**2 + 6*q - 6. Let u(s) = -6*j(s) - 5*r(s). Calculate u(o(l)).\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 2. Let x be (5\/(-2))\/(j\/(-2)). Suppose 4*w = 2*d - 6, 5*d - w - 4*w = 5. Put -3, x, d in ascending order.\nAnswer: x, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -20*g**7\/7 - 4*g**3\/3 + 5. Find the third derivative of x(c) wrt c.\nAnswer: -2400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**7\/105 - 2*d**5\/25 - d**4\/15 + d**3\/5 + 2*d**2\/5 + d + 6. Factor g(o).\nAnswer: 2*(o - 2)*(o - 1)*(o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 6*n**2 + 15*n - 7. Let g be j(8). Let x = 16 - 21. Is 1194\/((-11)\/x - (-3)\/g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -12*t**2 + 97*t + 27. Let h(m) = 6*m**2 - 49*m - 13. Let f(k) = 5*h(k) + 3*u(k). Find b, given that f(b) = 0.\nAnswer: -1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*d*p*z - 9*d*p - 4*d*z - 438*p*z - 3*p + 4*z - 1 wrt d.\nAnswer: -15*p*z - 9*p - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 2 (c) 7034 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-726)\/(-847))\/(117\/(-126)).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 509, 1274, 2667, 4874, 8081, 12474, 18239?\nAnswer: 25562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.062 - -35.693. Which is smaller: y or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2907 - -0.3.\nAnswer: 2907.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.1 - 0.9. Let h = r + 6.64. Round h to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 + (-210)\/(-49). Let l be ((-4)\/q)\/((-1)\/12). What is the smallest common multiple of 2 and (l\/(-15))\/((-2)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110202000210 (base 3) in base 10?\nAnswer: -250797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-5)\/(-1))*9\/72. Suppose 23 = 3*f - 2*d, 3*d + 21 = f - d. Which is the closest to 0.1? (a) t (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402*s + 2594*s**3 + 1562*s - 2591*s**3.\nAnswer: 3*s**3 + 1160*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37688?\nAnswer: 2, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 185428216147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1683 (b) 0 (c) -5 (d) 3 (e) -3 (f) 1.65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/8)\/((-4687)\/(-4687))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 6*d - 2*d)*(2 - 1 - 2)*(-25*d**4 + 68*d**4 + 78*d**4).\nAnswer: -363*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -53745 = -5965840\/111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 5\/6*d**3 - 1\/6*d**5 + 3\/8*d**4 + 1\/120*d**6 + 0*d - 25*d**2 + 0. Give b(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1431742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4\/3 - 185*i**3 - 17099*i**2 - 750953*i\/3 - 925870 = 0. What is i?\nAnswer: -443, -95, -11, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123653 + -9645065\/78. What is the common denominator of h and 151\/42?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g + 4*g + 16*g + 15*g + 11*g - 65*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 955284 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -5680\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7124985799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -1\/24*m**6 + 3*m**2 - 1\/2*m**4 + 0*m + 7\/30*m**5 - 8 + 0*m**3 + 1\/420*m**7. Find p, given that j(p) = 0.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.6 - 0.6. Let m(h) = 3*h + 1. Let t be m(1). Let q = -3 + t. Which is the closest to q? (a) 0.5 (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (70\/(-21) + 4)\/(1\/144). Let w be 3\/4*208\/n. Which is bigger: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -816176 divided by 816176?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239218.\nAnswer: 2, 7, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2014 less than or equal to -2016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2*f + 184 = 0. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -8.032. Let u = -0.032 + d. Which is the closest to u? (a) 0.02 (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 4*y + 4. Let g be h(3). Let u = -20 + g. Let x be (2 + u)*1\/(-2). Solve -l - 4*m + 13 + 8 = 0, -5*l - 15 = -x*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -32, -35, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 222\/(-1221) + (-97)\/11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1925 and 385.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1406102*n - 100 + 100.\nAnswer: 1406102*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -255.1629 + 0.1629. Let k = -104 + 104. Put o, k, 1 in descending order.\nAnswer: 1, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0 + 0)*(6*v - 6*v + 8*v**3)*((4 - 3 - 2)*(-26 - 18 + 14) - 1 + 0 - 1).\nAnswer: -448*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**3 + z**2 - z**2 + (z**2 - z**2 + z**2)*(2*z - 16 - 6*z + 2*z) to the form y*z**2 + u*z + q*z**3 + n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -7, -65?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 151 + -251. Let j = -57 - l. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 16 = -10. Let n(p) = -7*p**3 + 6*p - 6. Let k(o) = 7*o**3 - 5*o + 5. Calculate m*k(g) + 5*n(g).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1 + 7 + d**2 - 4 - d. Let p be l(4). Let j(m) = -2*m + 130. Let q be j(-7). Calculate the highest common divisor of p and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133672274 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/3256 and 3\/4.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6321, 12650, 18981, 25314, 31649?\n\"Answer: s**2 + 6326*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -48. Solve -5*h + 9 = -l*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 44. Let w(j) be the first derivative of 2*j**4 - 11*j**3\/3 - 7*j**2 - 1. Let l(g) = 3*g**3 - 4*g**2 - 5*g. Give p*w(f) - 11*l(f).\nAnswer: -f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 - 8*z**3 + 6427967811*z - 6427967811*z + 6*z**2 + 20*z**3.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35908 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - m + 3. What is s(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2, 133, -5 in ascending order.\nAnswer: -5, -2, 2, 3, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -240, 3, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 1206*h**3 - 363609*h**2.\nAnswer: -h**2*(h - 603)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 24 + (-2718 - -2650).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 4302353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6*q + 20. Let r(d) = -4*d**2 - 16*d + 93. Let m be r(-26). Let k = m + 2195. Solve k = 4*p + 4, -2*z + q*p + p + 1 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 24 = 3*t, 5 = -2*a + a - 4*t. What is the biggest value in 0.09, 0.5, 0.1, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 614*o - 12 - 52 = -k + 612*o, 3*k + o - 90 = 0 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 2. Let k = 19 + q. Suppose k*n - 12*n + 2 + 0 + n**2 = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2384213*c**4 + 7517127*c wrt c?\nAnswer: -28610556*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y + 4. Let x be u(2). Let r be (-5)\/(-2)*(-1)\/x. Which is greater: r or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-14\/9)\/(f**(-1\/24)*f))\/((f**5\/f)\/(f*f**(7\/5))))**(-4\/29) assuming f is positive.\nAnswer: f**(1481\/2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339931966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccucccucccccccccccc. Give prob of picking 1 u and 2 c.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 8*v**2 + 6. What is the units digit of z(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/15, -6\/11, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 3:12 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -340 - -570. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -16*r. Let i(l) = -7*l + 4. Let p(u) = -3*u - 16. Let z(g) = 4*i(g) + p(g). Determine 5*d(o) - 3*z(o).\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 39 + 7 + l + l.\nAnswer: 2*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1011321213 (base 4) to base 12\nAnswer: -119833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 67*f + 95 = 7*m + 63*f, 52*m + 4*f + 320 = 2*f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*n*x**2*z**3 + 26*n*x**2*z + n*x**2 + n*x*z**2 - 2*x**2*z**2 - 2*x*z**5 - 93*z**3 wrt z?\nAnswer: 18*n*x**2 - 120*x*z**2 - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.95232+-6.46\nAnswer: -4.50768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 19*z**2 - 15*z - 166. Let u be c(-20). Is 534 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17074 - -464. Let g = 182882\/11 + s. Is 15 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqt when three letters picked without replacement from {c: 5, q: 2, d: 2, t: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/21 (b) 3\/7 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 260680?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-33 + 47 - 38) + -18\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 5*s + 5 - 11, -4*s + j = -6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1066 + -1 + 0\/(-10)*-1. Round j to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 13*o + 18. Let c be h(-3). What is the hundreds digit of 1*(-4228)\/c + 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004124333 rounded to six decimal places?\nAnswer: -0.004124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlyiibyidbddydd. What is prob of picking 1 d and 3 i?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 361660\/(-34775)*(30*1)\/(-3)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 - 91.19. Let y = c + 1.19. Which is smaller: -10 or y?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72931010.\nAnswer: 2, 5, 43, 169607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbcbbcc. What is prob of sequence cbcb?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-86))\/(90\/3870)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/61030 and 8\/274635.\nAnswer: 549270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 2*t**2 - 3*t - 2. Let x be h(-3). Let q be (0 + (-1)\/(-2))*1. What is the second biggest value in q, x, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 12 = 13*r. Is r != -13\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -5, -3.23, 1\/5 in descending order.\nAnswer: 19, 1\/5, -3.23, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 13700 = -24*f. List the prime factors of f.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153 + 236. Suppose 5*d + 3*a = u, d = 3*d - 3*a - 29. Calculate the remainder when d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2616, -2055, -1122, 189, 1884, 3969, 6450?\nAnswer: 9333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g + 55*g + 126*g - 48*g + 105*g - 14*g**3 + 12*g**3.\nAnswer: -2*g**3 + 219*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, -0.2, -2.4, 4, 1\/70 in decreasing order.\nAnswer: 4, 0.14, 1\/70, -0.2, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(7\/4)\/(x\/(x**(1\/5)\/x)))**(-8\/7))**(-1\/33))**(-1\/26) assuming x is positive.\nAnswer: x**(1\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 3*a + 11. Let f(t) = 3*t**2 - 10*t + 32. Let d(g) = -4*f(g) + 11*v(g). Let b(w) be the first derivative of d(w). Is 25 a factor of b(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093644 to the power of 1\/2, to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2315, 21, 0, -3, -5 in descending order.\nAnswer: 21, 0, -3, -5, -2315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(1 + 1)*-14. Let y = -223\/8 - j. Let x be 3 - ((-1)\/1 + 5). Put y, -0.1, x in descending order.\nAnswer: y, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*o + 12*o**2 + 109*o + o**3 - 98 + 109*o - 323*o in the form f*o + h*o**3 + d + r*o**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -188 + 615. Let l = 338 + -624. Let n = g + l. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5144 - -10493\/2. Let f = u + -104. What is the biggest value in f, 2\/3, -0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-3)*v\/(v\/(v**(2\/5)*v))*v**(-4)\/v**2)\/(((v**(-2)\/v)\/(v\/(v*v**(-2))))\/(v**(1\/7)\/v**2)) assuming v is positive.\nAnswer: v**(-121\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + w + 512 + 2*w - 403)*(35*w**2 - 59 + 59).\nAnswer: 35*w**4 + 105*w**3 + 3815*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1453 and 4.\nAnswer: 5812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -10*y. Let w(i) be the second derivative of -i**4\/4 + 44*i. Determine r(w(o)).\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -42862 divided by -29?\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*s + 15. Let w be s + -3 + (-1 - -7). What is the third derivative of 2*g**2 + 0*g**2 + 4*g**6 - 3*g**w wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/((s\/(s\/(s\/(s\/(s*s**0))*s))*s)\/s))\/s)**46\/((s\/s**3)\/s*s*s**(-1\/4)))\/((s**(-1\/3))**(1\/12)*s**(-8)*s**(6\/11)) assuming s is positive.\nAnswer: s**(-7181\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q - q - q)*(20 - 28*q + 53*q - 26*q) to d*q**2 + b*q + v and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31126 is divided by 445?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.107 + -0.003. Let t = s + 1.31. Let z = -22.7 + t. What is z rounded to zero dps?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*o + 4*y - 2, 2*y = 2*o - 18. Let p(a) = a**2 - 2*a - 3. Let q be p(4). Solve 2*c + q*k + 1 = -7, -3*c - 4*k - o = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 = a. Let k(m) = m**2 - 3*m + 1. Let n be k(a). Solve 3 = -3*v + i - 5*i, 5*v = i - n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 83 - 71 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.7 + -16. What is the biggest value in -0.3, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 4*z + 27 + 3, 3*z - 5*n - 35 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2\/17 (b) -2 (c) -10.7907\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83052439 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0136041112 rounded to four dps?\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**2\/s)\/s)**(-5\/7))**(4\/7) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/198*9\/6)\/((-1)\/(-153)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106887899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*i + t - 1283, 3*t + 489 = 2*i. Suppose -2*r + i - 42 = 0. Suppose 2*y = -3*y + r. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*g + 3*a + 75, 3*g + 113 = -a. Is -11 - 2656\/g - 2\/(-19) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1438, 5601, 12532, 22225, 34674, 49873?\n\"Answer: -u**3 + 1390*u**2 + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5966 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*g - 1002 = -24*g + 1622 + 4692 for g.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 3*w**2 - 2*w. Let q be g(-2). Suppose -4*s + 224 + q = 0. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23154, 23155, 23158, 23163, 23170, 23179, 23190?\n\"Answer: x**2 - 2*x + 23155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*r + 0 = -32, 5250*r = 4*d + 5254*r + 64 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0624 and -150019750471.\nAnswer: -150019750471.0624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*2)\/sqrt(8)*-6 + -3)*-4.\nAnswer: 12 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 12*y - 17. Let r be x(10). Suppose 112 = q + 4*q + w, 3*q - 5*w = 56. What is the remainder when q*((-2)\/r - -1)*3 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -99, -165, -223, -231, -147?\n\"Answer: 7*t**3 - 38*t**2 - t - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -10100201?\nAnswer: 10100133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-1529)\/(-153))\/((-23)\/138)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 2*v - 5. Let k be ((-14)\/6)\/(2\/(-6)). Let z be 1\/(-2*(-3)\/(-18)). Let q(d) = 4*d + 2*d**2 + 72 - 90 + 7. What is k*f(j) + z*q(j)?\nAnswer: j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277249318.\nAnswer: 2, 138624659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 20, -4*l - 28 = -3*o + l. Let b = -1 + 5. Suppose -2*j + 10 = -2*v, j - 1 = b*v + 4. Solve -c - 3*c - o = v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8077 - 8085 - 2*h**2 + 24237 - 8075.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -83*i**2. Let s(x) = -52*x**2 - 320. Calculate s(b(h)).\nAnswer: -358228*h**4 - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -22061?\nAnswer: 22068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*t = 7*t + 54, -4*t + 44 = -2*p. Let l(a) = -9*a**2 - 7. Suppose -20 = -3*n - 2*n. Let i(m) = 1 - 3*m**2 - m**2 - n. What is p*i(x) + 6*l(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = a - 16. Let t be a\/(-18) - 75\/(-27). Suppose -p = 3, t*m - 3*p - 60 = -2*p. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 343144*g - 9264872. Determine q(27).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 567774?\nAnswer: -567775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7768 - 7936. What is the second biggest value in -4, 5, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - -5540?\nAnswer: 5552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 3*f = 3, -3579*g - 44 = -3575*g + 6*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.1694 hours in seconds?\nAnswer: 799809.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14736629, 29473260, 44209891?\nAnswer: 58946522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -0.2 (b) 25095 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 16*p - 12. Let m be o(-15). Suppose -m*s = -9*s + 30. Find the common denominator of 115\/36 and s\/((-45)\/12)*86\/8.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 361 and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2*sqrt(2) + sqrt(2))*-3*4)*6.\nAnswer: -24 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/((-1032)\/48)*6\/(-9)*21\/1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4915497 is divided by 339.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6094*g + 1048175. Give a(-172).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71680907, -143361819, -215042731, -286723643?\nAnswer: -358404555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 19235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2612557.98 to the nearest 100.\nAnswer: -2612600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.1, -1\/5, 1\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 3*b - 6*b)*(-92*b + 92*b - 112*b**3 - 5*b**3 + 5*b**3 - b**3 + (3*b + 0*b - 2*b)*(0 + 2*b**2 + 0)).\nAnswer: 111*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 368273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 524, 526, 528, 530?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25457.61 hours in minutes?\nAnswer: 1527456.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.11096 millilitres to litres.\nAnswer: 0.00011096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9176724*j*r**2 + 3553367*r**2 - 2*r + 2 wrt j?\nAnswer: 9176724*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(144))\/(-1*sqrt(4)*5))\/(-6*3*sqrt(108)*3).\nAnswer: sqrt(3)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 9*r + 2. Let z be i(0). Let g be z*(91\/14 + 1). Solve -3*b + 1 + g = -4*s, 3*b - 5*s - 17 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -215 - 33?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3045, -6092, -9139, -12186, -15233?\nAnswer: -18280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - c + 6. Suppose -v + 375 = j, -6*v + c*j = -3*v - 1115. Suppose -748 = -4*o - 4*i, -i - v = -2*o - 4*i. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyp when three letters picked without replacement from ilwlypxwipixpx?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**5\/20 - 13*a**4\/12 - a**3\/6 - 3*a**2 + 14*a - 2. What is x(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**3\/j)**(2\/127) assuming j is positive.\nAnswer: j**(6\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.3 (b) 9.98 (c) 5 (d) -2\/3 (e) -0.05 (f) -4\/3 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110010 (base 3) in base 8?\nAnswer: -3371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l + 5. Let p(q) = 2*q - 17. Give p(x(m)).\nAnswer: 10*m - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 31181146\nAnswer: 10\/15590573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/8)\/(-5))\/(1320\/672 + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (210 - 213) + -6 + 1 + -2 - -20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 i when three letters picked without replacement from iylniiiixrxrly?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-7)\/(-14)*173\/((-3806)\/3212)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 384\/13 - 8239\/260. Find the common denominator of (-12726)\/1080 - (-8)\/(-10) and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1662 - 1575. Are 79 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9412a + -3?\nAnswer: 94127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 14*x**2 - 25*x - 5. Let u be d(2). Suppose -3*z + 1 = -2*z. Is u\/(z\/2 + (-2668)\/5352) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (36 + -59)) + -12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2\/11, 11 in decreasing order.\nAnswer: 14, 11, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4073, -16251, -36551, -64973, -101517, -146183?\n\"Answer: -4061*i**2 + 5*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4439 and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3\/5, -13, 8 in descending order.\nAnswer: 8, 3\/5, 0.3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0776, 28, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + i**2 - 3*i**2)*(1 - 1 + 11*i)*(0 - 2 + 1)*(-6*i + 2*i + 2*i).\nAnswer: 22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x = -q + 11*x, 2*q - x = -10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 16) to base 9\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-16) - 50\/(-8). Let q = f + -3. Suppose i - q = 13. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -l + 3*o - 2*o, -2*l + 4*o + 26 = 0. Let m(j) be the second derivative of -1\/2*j**2 - 1\/2*j**l + 0 - j. What is the derivative of m(k) wrt k?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 + -8.1. Let o = k + 9. Which is the nearest to 1\/4? (a) 0.1 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.496 - -9.296. What is the nearest to 1\/3 in l, -40, -3\/5, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 5*p**4\/12 + 4*p**3\/3 + 13*p**2\/2 + 11*p + 3. Let l be b(-2). Which is bigger: 2\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*f*p*r + b**2*f - 79*b**2*p*r - 76*b*f*p + 2*f*p + f*r + 2*r with respect to r.\nAnswer: -b**2*f*p - 79*b**2*p + f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 6*t**2 - t**2)*(1 + 2 - 1)*(-4*t + 3*t - t) - 3 - 2*t**3 + 3 + (0*t + 0*t + t**2)*(5*t + 0*t - t).\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*d + 6*d - 3, 0 = -3*r - 3*d + 3. Solve 3*y + r*n - 4*n - 8 = 0, -4*y + 5*n + 10 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*f**5*w**2 + 1528*f**3*w**2 + 14*f**2*w**2 - 8*f**2 + f*w**2 - 31*w wrt f.\nAnswer: -720*f**2*w**2 + 9168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 13*f**2 + 14*f + 6. Calculate p(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*y - 4195 + 833 = 598 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 49*w - 333. Let t be i(8). Let g(h) = -h**3 - 5*h**2 + h - 6. Determine g(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**5 - 80*g**3 + 97*g**2 - 4?\nAnswer: 60*g**2 - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -20331?\nAnswer: -20302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/5? (a) 5 (b) -51 (c) 3\/8 (d) 2\/5 (e) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 5, -466, 1.\nAnswer: -466, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 396 and 42.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12411\/(-4) + 1\/(-4)*-3. Let a = m - -5623. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382 = -126*j - 50*j + 3*n, -2*n - 60 = -5*j - n + 4*n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100000100 (base 2) to base 6.\nAnswer: 23232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 264 - 581. What is r rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2 - 2 + 6*i. Suppose -3*r + 4*v = -0 + 5, 0 = 3*r + 2*v - 7. Let q(t) = 0*t**2 - 1 - 2*t**2 + r. Give m(q(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-2 - 5)) + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3478, -13719, -30788, -54679, -85386, -122903?\nAnswer: -167224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7788.8 times 7?\nAnswer: -54521.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15758, -59433, -131032, -230555, -358002?\n\"Answer: -13962*a**2 - 1789*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 2*h + 6966 = -4*r, -3479 = -2*r + 3*h. Is r greater than or equal to 1742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbbb when four letters picked without replacement from {a: 5, j: 2, z: 5, b: 3}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q + 152 = -7*q, -2*d + q + 2*q = 8*q + 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -109\nAnswer: -3\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-332*p + 56*p + 108*p)*(-3 + 2*p + 3).\nAnswer: -336*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 5*d = 40, 48*l - 51*l = -5*d - 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 2) + (-46)\/(-2). What is the remainder when 105 + (n\/4 - 4\/8) is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17531\/1670 - 2\/835. Which is smaller: y or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y**3 - 3*y**2 + 235*y + 729. Let f be b(-3). Solve -f = -66*l + 17*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36290027?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 425*o - 2910. Calculate s(8).\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6531500 divided by 2\nAnswer: 3265750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 2*m**2 + 0*m + 2*m)*(-1 + 3 + 0)*(0*m - 4*m + 5*m).\nAnswer: 4*m**3 + 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/4 + 314729*z**3\/2 - 2517843*z**2\/4 + 786827*z - 314731 = 0. Calculate z.\nAnswer: -629462, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 1:11 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -10*i - 108. Let k be h(-10). Let t(v) = -v**2 - 8*v + 2. Determine t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108244216477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 148\/(-1656) - (0 + (-9)\/27) and -44\/1863.\nAnswer: 3726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6206.71199885 + 6206.372. Let f = g - -0.34. Round f to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m - 44. Let j be k(-6). Suppose -r + j = r. Solve 0 + 15 = r*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7852.5657 to 0 dps.\nAnswer: 7853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4542006*-11\nAnswer: -49962066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.5975 to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 613275819 to the nearest integer?\nAnswer: 24764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*a**3 + 8*a - 8*a - 23*a**3)*(4*a**2 + 0*a**2 - 2*a**2).\nAnswer: 96*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 503773 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbmbbbbbb. Give prob of picking 1 m and 2 b.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175496966.\nAnswer: 2, 47, 1866989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222000 and 18519000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1003*v**3 - 27*v**2 + 132*v - 11. List the prime factors of d(4).\nAnswer: 17, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 163*d**2 + 7*d + 95. Let k(l) = -24*l**2 - l + 1. Give 14*k(x) + 2*m(x).\nAnswer: -10*x**2 + 204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:22 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 - -1223.\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32663*b + 32583*b + 1600 = 0 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1568 divide 2244008704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(27*s**2 + 4 - 25*s**2 + 0) + 5*s**2 - 4*s**2 - 6*s**2.\nAnswer: -9*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223102 - -1020312?\nAnswer: 131210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 0*o**2 + 9 + 0*o**4 + 0*o**3 - 6\/5*o**5 - 10*o. Find the first derivative of w(s) wrt s.\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/9 - 146*d**2\/3 - 400*d - 7264\/9.\nAnswer: 2*(d - 227)*(d + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g = 17554 + 14991. Suppose -5*i = -5*u - g, i + 5*u = 421 - 114. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3429 + k**2 + 3423 + 3421 - 10273.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3*(-3)\/(-6))\/((-3)\/40). Suppose 0 = -24*q + c*q + 532. What is the third derivative of 144*h**2 + 0*h + 0*h - q*h**2 + 16*h**6 wrt h?\nAnswer: 1920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 251, -242, -735?\n\"Answer: -493*n + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145898 less than -1.2?\nAnswer: -145899.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 30*k**2 + 31*k**2 + 0*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1127396086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8788 less than or equal to 8787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 498 = -2*t, 3 + 1 = 2*t. Suppose 5*b - u = -4*c, c + 53 = b - c. Suppose 4*y - f + 0*f - b = 0, y - 4*f = 24. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9195?\nAnswer: 3, 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.25 and 2666.36710602.\nAnswer: 2666.61710602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*c - 1 - 13*c + 2)*(11 + 12*c - 11)*(-5 + 3 + 3)*(3 - 2 + 0) to w + a*c**2 + o*c and give a.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*x - 264*x - 3*z - 14 = 0, -4*x + 17 = z. Suppose -g - 2 = 0, 0 = 3*p + 2*p - 5*g - 30. Solve j - x*y + 2*y = -11, p*j + 5*y - 7 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8222176?\nAnswer: 2, 89, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**1\/p)*p)**(-3\/5)\/((p*(p*p**(1\/10))\/p)\/(p**(-5)\/p))*(p**4*p*p*p*p**(-7)*p)\/(((p**(-8)*p)\/p)\/p**(-4)) assuming p is positive.\nAnswer: p**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 34*s**2. Let a(x) = 2*x - 452. Calculate o(a(g)).\nAnswer: 136*g**2 - 61472*g + 6946336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hddmdhhpphpppddd.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242278345 - -0.036?\nAnswer: 1242278345.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 7:59 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*8*(-31 - -5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(4\/3)*h)*h*h*h)\/h*h**(-13) assuming h is positive.\nAnswer: h**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -0*h - 4*h. Let y = h + 4. Let i(k) = 2*k**3 - 2*k. What is the remainder when y is divided by i(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 111935713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1)*((-q - 3*q + 3*q)*(-2 + 3 + 1) - q + 0*q + 4*q) + 2*q + q - 2*q + (2 + 0 - 4)*(-3*q + 4*q + 2*q))*(-q**2 - q**2 + q**2).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 225047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -618, -1223, -1824, -2421?\n\"Answer: 2*n**2 - 611*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from bbnznxbnnbzkxznb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50.0055 - 281.8535. Let h = 332 + n. What is h rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.994 - -0.006. Let l = 783 + -857. What is the nearest to t in 4, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 + 166 = -5*t for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 842*a**4 - 834*a**3 - 4218*a**2 - 2566*a - 24 = 0?\nAnswer: -1, -4\/421, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z + 12 = -24*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155738299 and 42348.\nAnswer: 3529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78938 and 1728.\nAnswer: 68202432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**3*j - 2*c**2 - 8*c*j - 766*j wrt c?\nAnswer: -6*c**2*j - 4*c - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -14*h - 4 + 2*h**2 - 4 - 2 - 3*h**2. Let m be t(-12). Solve -m = -2*g - 2*g + 3*i, -2*g + 4*i + 2 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171388\/5 < 34278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p**2 - 4*p - 2. Give f(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7297 + 7297.04. Sort -6, 2\/7, 0, s, -5.\nAnswer: -6, -5, 0, s, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10703 divided by -139\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1794*j**2*t**2 + j*t**2 - 2*j*t + 2*j - 23*t**2 wrt j?\nAnswer: 3588*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -19*f**3 - 139*f**2 - 16*f - 8. Let x(g) = 13*g**3 + 93*g**2 + 10*g + 5. Give -5*n(t) - 8*x(t).\nAnswer: -9*t**3 - 49*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (sqrt(396) - (sqrt(396)*1 + 2))**2 + 3*sqrt(396)*-2.\nAnswer: -36*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in 76, -0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 5*h - 3. Let c(q) = -q**3 + 4*q**2 + 3. Let l be c(4). Let d be b(l). Factor -2*j**2 - j**4 + j + 0*j - j**2 + d*j**3.\nAnswer: -j*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 19 = 16. Suppose -u - y*q + 12 = 5, -q = 3*u - 7. Solve z - u = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -502 (b) -17 (c) -1\/2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43409 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -213 + 0?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3488*b + 1 + 2890*b + 14 + 10047*b.\nAnswer: 16425*b + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) + (-3)\/(-6). Suppose 2*m + 23 = -n*d + d, -4 = -m. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o + 41. Let v be i(4). Let d(q) = 46*q + 214. What are the prime factors of d(v)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 7*c**2 + 8*c - 5. Let x be 8\/(-12)*15\/(-2). Suppose -z + x*z = -2*m + 16, -4*z + 22 = 3*m. What is u(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155004 divided by 12917?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 73 + -1?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o - 3*o**5 + 3*o + (-83*o**4 - 88*o**4 - 207*o**4)*(4*o - 2*o - o) - 3*o + 3*o - 4*o**5.\nAnswer: -385*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*j + j. Let a(n) = -2*n**2 - 2*n + 23. Let p be a(0). Let k(v) = -v**3 + 23*v**2 + 5*v - 53. Calculate the remainder when k(p) is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 414 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 28 = -15*f. Let u(n) = n**3 - 2*n**2 + 2*n - 2. Calculate u(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u - 9. Let y(v) = 1. Let p(h) = 2*h**3 - h**2 - 2. Let g be (3 - 5)\/1*(-169)\/13. Let d = -27 + g. Give d*p(b) + u*y(b).\nAnswer: -2*b**3 + b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f**(-2\/15)\/f)\/f*(f\/(f*f**1*f))\/f*f*f*(f**(1\/2)*f)**(-1\/44)*(f\/(f**(4\/7)*f)*((f**(4\/5)*f)\/f*f*f*f*f)\/f)\/(f*f**(-1\/4))**11 assuming f is positive.\nAnswer: f**(-13285\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miamdjmmdjaamamaid. What is prob of sequence mij?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1513\/33 - -684\/11. Suppose 190\/3*x**2 + 17\/3*x**4 + 161\/3*x + 1\/3*x**5 + k + 94\/3*x**3 = 0. Calculate x.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -16. Find the first derivative of -6 - p - 9*b + b - b wrt b.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 271*h + 2992. Let t be a(-11). Solve 4*p + t - 2 = c, 4*c = -3*p + 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 + 105. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24841*q + 8928 wrt q.\nAnswer: -24841","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6392000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645246600.\nAnswer: 2, 3, 5, 23, 46757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48900.9 rounded to the nearest one hundred?\nAnswer: 48900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((5 - (-9 - -20)) + 13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i. Let f(t) = -6*t. Let q = 2 - 4. Let a = q - 3. Determine a*w(y) + 4*f(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27974 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -946*h + 7668. What is x(8)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*8\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92457.24 + 92467.239914. Let s = 3 + -13. Let c = s + a. What is c rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 62*s - 29. Determine u(3).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 70 = 37 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uywyylwlywcy. Give prob of sequence ycyw.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 2\/2 - 17. Let k = -20 - z. Let g be (6 - 0)\/((-3)\/(-2)). Solve p - h = -k + 2, -g*p = -2*h - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98433720 divided by 124285.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4403*q**4 - 1741*q**2 + 446765208 with respect to q.\nAnswer: 17612*q**3 - 3482*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.59604 years to months.\nAnswer: 583.15248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81\/45 - (-1)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.19 + -1.19. Put -2\/5, 0.3, j in ascending order.\nAnswer: j, -2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2))**(-10\/7)*(w\/(w*w**(-4)))\/w**(-1\/13) assuming w is positive.\nAnswer: w**(436\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*g**3 + 30*g - 15*g + 130295 - 15*g - 130295.\nAnswer: 73*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -1.35. What is d rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23188\/(-191301)*(-594)\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 2 (c) 59 (d) 25876 (e) 6.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a**3 + 0 - 96\/5*a**2 - 3\/5*a**4 + 96\/5*a = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 151 and 6300173?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12480000 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, l: 1, s: 2}. What is prob of sequence sl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 - 38. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72772691\/320 + 227415. Calculate the common denominator of a and 89\/100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3957 (b) -0.1 (c) -2 (d) 2457\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2. Let a(v) = 41*v + 185*v**2 + 37*v - 78*v. Give y(a(d)).\nAnswer: 68450*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - (sqrt(88) - -4*sqrt(88)*2)) + ((-1*sqrt(88) - sqrt(88))*2 - sqrt(88)))\/(sqrt(128) - 3*-2*sqrt(128)))**2.\nAnswer: 1859\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5307, 5, 0 in decreasing order.\nAnswer: 5, 0, -5307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 101 - 802?\nAnswer: -701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 97 - 333 = 0. What is the remainder when l is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 4*g - g)*(-40 - 39 - 13).\nAnswer: 460*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 12:10 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 6*a + 6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337122868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 252, 243, 232, 219, 204, 187, 168?\n\"Answer: -z**2 - 6*z + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 104 + -63 + -60 + -2 + 1\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -387 or -574?\nAnswer: -574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 236676.6 years in decades?\nAnswer: 23667.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 3. Let v be l(-5). Suppose v*a = -2*a + 33600. What is a rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39917910 - -39917703.00031. Let u = -207 - v. Round u to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 264*y - 44. Let h be k(4). Let u = -1\/3935 + -10223\/31480. What is the common denominator of u and ((h\/(-12))\/11)\/(22\/3)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*w = -w + 10, -3*v + 3*w - 12 = 0. Let a be 5\/(-20) - (-37)\/4. Suppose 0 = 5*q - a - 6. Solve 4*c - v = q*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(-1 + 5 - 5)*(-7*i**3 - 2*i**3 - 7*i**3) to the form p*i + l*i**2 + k*i**3 + s and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 41992065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 15 = -0, 4*j = -2*h + 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 79, 15, -181, -575, -1233, -2221?\n\"Answer: -11*y**3 + 13*y + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3)\/(39\/(-52)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-70))\/(6\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6 + 3 = 0. Let x = r + 2. Let g = -19.9 + 20. Is g at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.39 - -84.\nAnswer: 81.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -5*v**2 + 9*v - 1094. Calculate m(-7).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 65139, -3 in ascending order.\nAnswer: -18, -3, 65139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 11*l + 4*l. Let o be 2*((-11)\/l - 4). What is the third derivative of 22*k**o + 2*k**2 - 7*k**2 + 11*k**2 wrt k?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 25 = -p, -3*p - 6 = -4*j + 14. Solve n = -p*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3\/4)\/o)\/(o\/(o\/(o*o**(2\/7)*o))))\/(o*o\/((o\/(o**(4\/5)\/o*o))\/o)*o**(2\/11)))\/(o\/o**6*o**(1\/3)*o*(o**(-1))**(-43)) assuming o is positive.\nAnswer: o**(-214141\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2. Suppose -226218 = -10*c + 4*c. Let i(q) = c - 37703 + 7*q**2. What is i(t(b))?\nAnswer: 112*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 4, x: 5, i: 7}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -893*s + 654 - 8*s + 48*s - 649 + (-1 + 4 - 1)*(2*s + 2*s - 3*s) + 3*s + 0*s - s to the form v*s + i and give v.\nAnswer: -849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 334, 662, 992, 1324, 1658, 1994, 2332?\n\"Answer: b**2 + 325*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 10. Let k be c(9). Suppose -5*v - k = 4*l - 44, 3*l - v = 6. Suppose l*j - 144 = -3*j. What is the least common multiple of j and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(10\/16))\/2. Calculate the highest common divisor of 20 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.142 - -0.058. Which is smaller: j or -0.005?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((288\/56)\/6)\/((-3)\/(-28)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/(-49) - 24\/14) + -1. What is the smallest value in l, 0.4, -0.12?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 182?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -456, -453, -444, -429, -408?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 - 59*f**2 + 22*f - 17. Let g(a) = -a**3 - 11*a**2 - 12*a - 7. Let u be g(-10). Suppose 0 = -11*l + u*l + 60. Is s(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 338367*m**2 - 676743*m - 338373.\nAnswer: 3*(m - 112791)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.275 or 0.49?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 15*g**2 + 16*g + 29. Let b be y(-14). Suppose -12 - b = 3*u + 5*i, -4*i = -2*u + 28. Solve -u*f = -20 + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**2*q)\/q*(q*(q\/(q\/q**(1\/3)*q*q))\/q*q)\/q*((((q\/((q*(q\/((q**(2\/11)*q)\/q)*q)\/q*q*q)\/q))\/q)\/q)\/q)\/(q**(-4)*q*q))**(-16\/11) assuming q is positive.\nAnswer: q**(2896\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25170, -50328, -75486, -100644, -125802?\n\"Answer: -25158*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)\/a)\/((a*a**(-11))\/a)*(a**7)**(-3\/10) assuming a is positive.\nAnswer: a**(39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 1386 = -1383 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1365, -2, 7, -0.1, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36016460, 72032929, 108049400, 144065873?\n\"Answer: m**2 + 36016466*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50.93 - 51.93. What is the closest to 0 in -4\/7, -2, o, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2703 = -2*v - 2695, -15*m - 85 = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -56*(-2 + (-19)\/2). Let v = -920 + p. Round v to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1120 - -3?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490370419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*t - 10, t + 0*t + 2 = -4*p. Suppose -15 = 5*z, -3*q - 4*z + 52 + 8 = p. Let h = 13 + q. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -7*l**2\/2 - 2*l + 5. Let y be w(1). Let d = y - -15. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*v + 24 - 12, -4*k = -5*v - 2. Let h be ((-8)\/24)\/(7\/9). What is the nearest to 0 in k, h, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 3763080646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -419089166 less than 4.62092?\nAnswer: 419089170.62092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/4)\/p*p\/(p\/p**(-1\/18))*p*p)\/(p*p*(p*p\/(p**(-2\/47)*p))\/p*p*p**(5\/2)))**(-50) assuming p is positive.\nAnswer: p**(141625\/846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36623193*c**2 - 76885043*c.\nAnswer: -73246386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000093917 to 6 decimal places.\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3855 and 297?\nAnswer: 381645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1065*o**4 - 10*o**3 - 23*o - 4. Let r(t) = 2128*t**4 + 18*t**3 + 46*t + 7. Let p(u) = 9*q(u) + 5*r(u). Find the second derivative of p(b) wrt b.\nAnswer: 12660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 + 2*c**2 - 2. Let t(m) = 4*m**2 - 1. Let p be t(1). Let h(w) = 11*w**3 - p + 2 - 8*w**3 + 5*w**2 - 4. Determine 2*h(n) - 5*q(n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2368010 and 15.1?\nAnswer: 2368025.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((20 - (2 - 3 - -7)) + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 138 - 47. Let h(t) = -t**2 - 9*t + 5. What is the remainder when x is divided by h(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - j - 1. Let w be 5\/(-10) - 18\/(-4). Suppose 2*i + w*r - 12 = 0, 0*r + 24 = -2*i + 5*r. Give g(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/(-20))\/(23\/(-72803924)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1303, 1123, 663, -209, -1625?\n\"Answer: -22*t**3 - 8*t**2 - 2*t + 1335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 398686169?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*x - 50*x = -2. Suppose -2*j - 3*v = j - 6, -4*j + x*v + 38 = 0. Suppose -3*w + j*w = 16. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*u = -13, 3*m + 3*u + 1 = 4. Let g(x) = x**3 - 3 + 5*x**2 + 3*x - 2*x**3 + 0 - 2*x**2. List the prime factors of g(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24569732?\nAnswer: 2, 11, 31, 18013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + -0.3. Suppose -2*w = 6 + 2. What is the second smallest value in 1, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 13. Suppose -2*i = -6*i + 36. Let u = 7401 - 7402. Sort u, d, i, 0 in increasing order.\nAnswer: d, u, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - h**2 + 1 + (-10862 + 10862 - 208*h)*(0 + 0 + h) + (7*h - 3 + 3)*(-2*h + 2*h - h).\nAnswer: -216*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5 - 1424*j**4 + 14392*j**3 - 34676*j**2 - 14390*j + 36100 = 0 for j.\nAnswer: -722, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76958 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**3 + c - 10*c**3 - 1 + 2. List the prime factors of w(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u**4 - 12*u**3 - 7*u**2 + 2*u. Let s(b) = b**4 - b**2 - b. Let x(k) = -l(k) - 2*s(k). Factor x(m).\nAnswer: 3*m**2*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3034 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*a - 39*a - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdor when four letters picked without replacement from dddddrodoooddddddddo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in minutes?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a*j**2*l - 14*a*j*l - 2*a*l + 19*a - 8*j**2 wrt l?\nAnswer: -2*a*j**2 - 14*a*j - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 + 162 + -79 - (6 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31144750*l*t**2 + 82392*t**2 + 8*t - 3 wrt l?\nAnswer: -31144750*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -1. Let m be (((-32)\/(-5))\/(-8))\/(2\/(-45)). Let d = m - u. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 148?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 239.7 + -240. Which is the third biggest value? (a) -0.1 (b) -2\/11 (c) v (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21\/31, 1\/31, -0.7, -12 in increasing order.\nAnswer: -12, -0.7, -21\/31, 1\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - -2 - 4884\/(-143). Let k = d - 35. Which is the nearest to -0.1? (a) -5 (b) k (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-4) + -3 + -1. Let h = 0.968 + -1.308. What is the biggest value in -0.2, z, h, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9169*g**3 + 29465*g**2 + 1108907170*g?\nAnswer: 55014*g + 58930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-425)\/387 - -2. Let f = 34\/43 + x. Let s = -10163\/6 - -1718. Calculate the common denominator of f and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**8\/560 - v**5\/60 + 2*v**3 + 1. Let p(z) be the third derivative of m(z). What is the second derivative of p(x) wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13780733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 10*y**2 + 10*y + 72. Let r be o(7). Sort r, 8, 4, 6, -2 in ascending order.\nAnswer: r, -2, 4, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*u + 8*u - 56*u**2 + 6*u**6 + 29*u**6 wrt u.\nAnswer: 4200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4089*o + 28696. Calculate x(-7).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r - 117. What is d(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and (-52)\/20*-55 + -3?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbubub.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/58266 and -115\/1320696?\nAnswer: 3962088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 397 - 393. Let z(o) = 3 - o**2 + 3*o**2 - 18 - 5*o + 12. Give z(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -7*a**3\/6 + 6135*a. Let g(u) = 15*u. Let i be (5\/2)\/(2\/(-4)). Give i*r(f) - 2*g(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1356675 and 16.1?\nAnswer: 1356691.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m - 17. Let j be x(6). Suppose 33 = g + j. Suppose 65 + g = r + z, 5*z = 4*r - 283. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00658 to four decimal places.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -63, -59, -11, 69, 169?\n\"Answer: -2*a**3 + 34*a**2 - 84*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 589*k**3 + 14*k**2 - 8*k + 3. Let x(d) = 197*d**3 + 4*d**2 - 3*d + 1. Determine 2*c(m) - 7*x(m).\nAnswer: -201*m**3 + 5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 13*b + 11. Let w be (-1)\/(16\/182) - 6\/(-16). Determine c(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o. Let p(q) = -10*q + 2. Calculate j(p(k)).\nAnswer: 50*k - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2 + 2)*(-r**3 + 2*r**3 + r**3) + (4*r**4 - r**4 - 2*r**4)*(-5 + 15 - 39).\nAnswer: -25*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 1, c: 5, p: 4, l: 2}. What is prob of picking 1 c and 1 i?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-264)\/(-660))\/(1\/(-65)). Sort 2, 3, f in decreasing order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**3\/7 + 19292055*b**2\/7 = 0?\nAnswer: -6430685, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4451823 is divided by 2261?\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 3*u + 1\/2*u**4 + 1\/10*u**5 + 0*u**2 + 2\/3*u**3 + 0. Factor m(d).\nAnswer: 2*d*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 25586256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 3*a**2 - 4*a + 3. Let r be j(4). Let s = -23 + r. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -493, -628, -985, -1678, -2821, -4528, -6913?\n\"Answer: -19*g**3 + 3*g**2 - 11*g - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*z - 75, -3*r + 5*r + 3*z = -37. Which is smaller: -57\/5 or r?\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 768 - 453. Let d = s - 171. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m - 4*m + 40 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/196 - (-122)\/70)*-6*(-6)\/18\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**6\/120 - t**5\/15 - t**4\/24 + 2*t**2. Suppose -3*f = -4*o - 7*f, -4*o - 3*f = 4. Determine v(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c. Let k(f) = 11*f**2. Calculate q(k(x)).\nAnswer: -88*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 1, y: 3}. What is prob of sequence yy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 251 - 191. What is the least common multiple of h and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/(-7) + (-18)\/(-4). Let a(b) = b**3 + 6*b**2 + 7*b + 4. Let q be a(-5). Let d be ((-1)\/q)\/((-4)\/(-6)). What is the biggest value in d, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 826871533 to the nearest integer?\nAnswer: 28755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 16*p**2 + p**2 - 19*p**2 + 23.\nAnswer: -2*p**2 + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 12. What is g(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 + 181. Let x = z - 25. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 4*p - 4. Let k be z(4). Let i be (-6)\/(-4) + 4\/(-8). Sort -1, i, k in increasing order.\nAnswer: k, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 12*n = q + 7, 4*q - 2*n = -6. Let i(r) = 5*r**3 + 4*r - 5*r**2 + 9 - 4*r**2 - 4*r. Let c(k) = k**3 - 2*k**2 + 2. Calculate q*i(w) + 9*c(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 4*(sqrt(77) + 2*sqrt(77)) + sqrt(77))*-6*2)\/((sqrt(2112)*-2)\/(sqrt(81)\/sqrt(3) - sqrt(3))).\nAnswer: 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**2\/3 + 8164292*v + 122464480\/3 = 0. Calculate v.\nAnswer: -5, 6123224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7814475*c**4 - 20898998*c wrt c.\nAnswer: 93773700*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(72)*2)\/((sqrt(900) - sqrt(900)*3)*6 + sqrt(900)) + -2)*-2.\nAnswer: 24*sqrt(2)\/55 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602*x = 574*x - 9982 - 24122 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 34 = -52. Let a(b) = b**3 - 5*b**2 - 6*b - 5. Let f be a(6). What is the remainder when l is divided by (-1)\/((10\/58)\/f)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7190 + 490. Round g to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 57.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/51078 and 93\/225424240.\nAnswer: 676272720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35.081 - -0.081. Let c = -35.00000014 - w. What is c rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 336116?\nAnswer: 336121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3 - 4*o**2 - 10*o + 12 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 372208 divided by 598?\nAnswer: 186104\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 26. What are the prime factors of (-516)\/(-8) + 3\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9836 + -2.846. What is d rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2847 divided by 367?\nAnswer: 2847\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3304 and 2124?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -303.\nAnswer: -3030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 2. Let g be j(0). Suppose -g = -3*l + 1. Let n = -5 + 8. Is n != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 242?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*c**2 + 11*c**2 - 3 - 2*c + 16*c - 39*c wrt c?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.7 + 0.3. Let w = 0.3 - 0.34. Let q = 0.44 + w. What is the nearest to -1\/2 in -2, q, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -514558 (base 9) to base 2\nAnswer: -1001010100000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - 2.81. Let k = y - -3. Let d be (-3 + 26\/10)*5. Sort k, d, -1 in descending order.\nAnswer: k, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 11*n**6\/40 - n**5\/5 - 25*n**4\/8 + 9*n**3 - 224*n**2. Factor r(u).\nAnswer: 3*(u - 1)**2*(11*u + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73763?\nAnswer: 17, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468163 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 o, and 2 r when four letters picked without replacement from ssseerresseessos.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8*(-2)\/(3 - -5). Suppose 2*z - 21 = -3*b, k*b = 2*z - 2*b. Solve -10 = 4*d + z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.481 and 1440.8.\nAnswer: 5015.4248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24745 is divided by 2474.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25592000040\/140 + (-4)\/14. Suppose 14*q + r = 10*q. Round q to the nearest one million.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 4*z + 4*u, 5*z - 2*z - 106 = u. Let l be ((-24)\/10)\/((z\/(-40))\/3). Solve c - 1 = -y - l, -c - 9 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 799*i + 187. Let a(v) = 17*v + 4. Determine 187*a(h) - 4*d(h).\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 13*i**4 + 5*i**2 - 1459*i - 42. Let q(n) = 12*n**4 + 3*n**2 - 1460*n - 35. Let z(k) = -5*m(k) + 6*q(k). What is the second derivative of z(o) wrt o?\nAnswer: 84*o**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 20*w**2 - 33*w + 68. What is o(20)?\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117768 divided by -8412.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:29 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 237180062094433 and 4.\nAnswer: 237180062094437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*sqrt(19) - sqrt(114)\/(sqrt(12)\/sqrt(2)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -8*g**2 - 16*g + 1. Calculate b(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 687015 divided by -63.\nAnswer: -10905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 134*w + 135*w - 6, 0 = -z + 3*w - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218941 is divided by 2026?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 280278 or 840836\/3?\nAnswer: 840836\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -34084832700 to the nearest 1000000.\nAnswer: -34085000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 433202.24 from 5675.\nAnswer: -427527.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-46)\/(-18) + 16\/(-72) and (6 - (-314)\/(-36))\/(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 27 - 10 - 2*n**2 + 23.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1682 + -1678. Solve 3*s - v*s = 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 828 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 2 = -2*i + f, 8 = i + 3*f. What are the prime factors of (-938)\/(-56)*(-4)\/i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1859 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15552 = 2*a, -39*x = -35*x + 2*a - 20736. Is x a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 7. Let a be p(-8). Let u be (27200 - a) + 1\/1. Suppose -u = d + 3*d. Round d to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49615464 divided by -48077?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1346*d**2*g**2 - 117773931*d**2 + 1184*d*g**2 wrt g?\nAnswer: 2692*d**2*g + 2368*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 332*z**2 + 6*z - 6. Let r be y(3). Suppose -6865 = -5*a + 5*l, -3*a + r = 2*l - 1134. Is a a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137 - 28. Does 33 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 4, 15.3, -7\/2?\nAnswer: 15.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*g - 111 - 60, -4*g + 142 = -2*j. Let t = -34 + g. List the prime factors of ((-282)\/(-15))\/(t - 8\/10).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60\/7 - -1049\/84. Find the common denominator of 5\/24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5601.143 nanometers to micrometers.\nAnswer: 5.601143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-1)*-1)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -765 by 255.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 198 (b) 2 (c) -0.101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2514.6309404+-2.035\nAnswer: -2516.6659404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + ((-33)\/21 - -5)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -1 + 7. Solve -1 = -3*t + 2*k - 15, 0 = m*t - k + 13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p - 88. Let x be o(-9). Suppose 563 = 3*b + 4*a, -5*b - x*a - 3*a = -930. List the prime factors of b.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*j - 1. Let i(r) be the third derivative of 0*r**4 + 0*r**5 - 1\/3*r**3 - 1\/120*r**6 + 0*r + 0 + 2*r**j. Differentiate i(h) with respect to h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9967386?\nAnswer: 2, 3, 11, 13, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5020, 20116, 45264, 80458, 125692, 180960, 246256?\nAnswer: 321574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.12+380\nAnswer: 380.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 + -24. Calculate the remainder when s is divided by (1 - (-114)\/4) + (-12)\/8.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1\/(x**(-1\/17)\/x))\/(x*x**(-5))**(-11))**20 assuming x is positive.\nAnswer: x**(-14260\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 26171047499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.92 + -0.08. Let p = -1.9999996 - c. What is p rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 6*r + 2. Let i(l) = -l**3 - 20*l**2 - 19*l + 3. Let x be i(-19). Let w be (2\/x)\/2 + 30\/(-9). Give m(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73829\/16 or 334?\nAnswer: 334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1010*i = -1001*i - 45 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/27*105\/(-35).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 59. Suppose -a - y = -6*a. Let c(o) = -6*o**2 + o**2 + 2 + o**3 + 6*o - a*o. Calculate c(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11233311001 (base 4) in base 5?\nAnswer: 341203000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g. Let z(d) = -3*d**2 - 3*d. Determine 6*b(f) - z(f).\nAnswer: 3*f**2 + 21*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25276, -2, 2, -13, 0.\nAnswer: -25276, -13, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 86*z**3 + 79*z**3 - 2.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*j + 3*u, 4*j - 59 = -4*u - 11. What is the remainder when 28 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -456742*3.7\nAnswer: -1689945.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-63))\/((-2)\/(-3)*3) + 3. Let f(x) be the second derivative of -x**3\/2 - x. Calculate f(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40840, 40849, 40858, 40867?\nAnswer: 40876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ftwwattzaw. What is prob of picking 3 t and 1 f?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5.572 - -0.03\nAnswer: -5.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 172051 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/8941658 and 79\/51211314?\nAnswer: 563324454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 245258935\nAnswer: -2\/245258935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, 0.25, -5\/2, -0.2, -3\/4?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 12*t**2 + 30*t - 9. Give w(-14).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*3*1)\/(((sqrt(66)*-3 - sqrt(66)) + sqrt(66))\/sqrt(11)))\/(6*6*1*(sqrt(216) - 2*sqrt(216) - sqrt(216))).\nAnswer: sqrt(2)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b - 3 + 15 + 11. What is the units digit of f(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 863835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -ee281?\nAnswer: ee287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6628.8123 to the nearest integer.\nAnswer: 6629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 783 and 1837962.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 13*b - 10 - 2 to the form p*b + a and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*y + 279*y - 848160 = 0. What is the lowest common multiple of y and 25?\nAnswer: 22800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 815094*f - 4890572. Give g(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 1. Let v be b(-2). Let h be v - (0 - 0) - -2. Solve -h*a - 2 = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13, -97, -325, -769, -1501?\n\"Answer: -12*h**3 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 divided by -59.\nAnswer: 107\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 64. Let b be (-28)\/(-6) + 8\/j. Let y(o) = -o**3 + 3*o**2 + 4*o. Determine y(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24933847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3 + 128*l**2 + 134*l - 260 = 0 for l.\nAnswer: -2, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shhhhssshhhss. Give prob of picking 1 s and 2 h.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 5*r - 21, -128*x - 2 = -126*x + 6*r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3.6 (b) 9\/7 (c) 2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209 + 209.109. Let j = -0.1090548 + t. What is j rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 484 + -484.08. Let f = 0.3 - -2.7. Put o, f, 0.4 in increasing order.\nAnswer: o, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 119410450493443 and -1.1.\nAnswer: 119410450493441.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(1530\/1418327))\/((-11)\/(-6) + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1338 + 2452. Suppose -1677 = -6*o + 5*i, -3*o + 2*i + a = o. Is 63 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.38, -3, 198, 83 in descending order.\nAnswer: 198, 83, -0.38, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**3 + 2*q**2 - 3*q - 7. Let r(w) be the third derivative of w**6\/30 + w**5\/30 - w**4\/12 - w**3 + w**2 + 45. What is 3*r(k) - 2*z(k)?\nAnswer: 2*k**3 + 2*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*r + 7*b - 5*b, 5*b - 27 = -4*r. Let g be r*(0 + 1)\/1. Find the common denominator of (g\/72)\/((-5)\/1030) and -69\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318 + 3*b - 637 + 316.\nAnswer: 3*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -36 + 33 - 48\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26720 (base 8) to base 3.\nAnswer: -121002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4423 - -17691\/4. Which is the third smallest value? (a) 2\/31 (b) -4 (c) 3\/5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -85, -204, -353, -532?\n\"Answer: -15*p**2 - 74*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 1. Let c(b) = -b - 2. Let s(m) = -c(m) + 2*i(m). Let t be s(-6). Calculate the highest common divisor of t and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhkhhhffffhk. What is prob of picking 1 k and 1 h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -283885*0.9\nAnswer: -255496.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 60 = -2*a. Suppose 0*l = -5*l + a. Calculate the greatest common divisor of 15 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 51 + 183 = 0. Let w be x\/10 + (-2)\/5. Solve w = -c - c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**3 + 2*k**2 + 2*k - 135. Give t(0).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 281*v + 1103. Let y be u(4). Let o(i) = i. Let t(h) = 3*h - 18. Determine y*o(g) + t(g).\nAnswer: -2*g - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -393073550*h**3 + h**2 + 1779785*h + 2.\nAnswer: -2358441300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 60. What is k(5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2294*f**2 + 1900*f**2 + 2236*f**2.\nAnswer: 6430*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g**2 - 28 + 10*g - 7*g**2 + g + 15*g**2 = 0. What is g?\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 4*k + 1. Let n = -30 + 32. Let w be i(n). Let d be (-3)\/(9\/w) + (-39)\/(-9). What is the highest common divisor of 44 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74540*c**2*j + 2*c*j - 40*j + 30 wrt c.\nAnswer: -149080*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 8:43 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000103005 to six dps.\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(4*g + 0*g + 0*g) + (-g + 1 - 1)*(-16 - 1 - 8)*(1 - 4 + 2).\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8074 - -14163. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 11. Suppose 22 = 5*o - 58. Suppose -2*u + 6*u = o. What is the units digit of t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 11:57 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - x**2 - 2*x**5 + (2*x - 6*x + 2*x)*(2*x**4 - 4*x**4 + 6*x**4).\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2431 = 5*c, 10*y = -c + 5*y + 500. Calculate the remainder when 980 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z + z + (-3 + 3 - 2)*(0 + 0 + z))*(7 + 0 - 1).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 0.874?\nAnswer: 0.874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2855 and 29689145?\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*q**4 - 65*b*q**2 - 294*b + q**4 wrt q?\nAnswer: 8*b*q**3 - 130*b*q + 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 203*u - 2 + 605*u**3 - 143*u - 60*u + 2*u**2.\nAnswer: 605*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 divided by 6.\nAnswer: -77\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -476.39 - -396.808. Round b to zero decimal places.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 + 33\/12*2. Let l(n) = 2*n + 1. Let j(y) = -4*y - 1. Let a(i) = 1. Let w(h) = a(h) - j(h). Calculate p*l(d) - 3*w(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 2\/13, -7\/18, 147\/38, 0.4, 1\/10?\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 11:18 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 8*w - 10. Let c = -42 + 48. Let b be n(c). Solve 2*s + 4*p = 6, -17 = -4*s + s + b*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away 108338578013?\nAnswer: -108338578024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1788 is divided by 148?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 5*s**4\/12 + s**3\/2 + s**2 + 10*s. Let t be a(-2). Suppose -b = -p, 0 = 4*b + 4*p + t - 40. Solve b + 2 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 43. Suppose -h*w = 2 - 11. Factor -1 + 1 + 414*o**3 - 418*o**w.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103 and 12875.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011529 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1 + i + 0*i + 0*i. Let b be n(4). Solve -4*o - 2 = b*u + 2, 3*u + 2*o = -8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -711.01 + 706. Let l = q + 0.01. Which is the fourth biggest value? (a) 0.4 (b) -3\/5 (c) l (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 443 + -442.999771. Round i to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14025, 43483, 92579, 161313, 249685?\nAnswer: 357695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/(-6))\/((-1445)\/578))\/(-4)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -20.02269.\nAnswer: 6.006807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25645 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003415082 to 6 decimal places.\nAnswer: 0.003415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - 3*p - 6*p + 7*p to c*p + o + s*p**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, o: 13, l: 3}. What is prob of picking 1 o and 1 l?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 104249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1602 (base 15) in base 2?\nAnswer: -1001001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29\/2 in -2.6, 4, 1?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 9*f**2 + f + 15. Let v be o(-9). Suppose v - 2 = 4*u, -5*p - 3*u + 458 = 0. What are the prime factors of p?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21212 or -21208?\nAnswer: -21208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20470 + -16528. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/(1\/(-6)). Let l(y) = 11 + 3*y + 7*y - z*y**2 - 4*y + y**2. Let v be l(8). Put -1\/4, v, 0 in descending order.\nAnswer: 0, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2288931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5727, 11418, 17075, 22698, 28287, 33842?\n\"Answer: -17*k**2 + 5742*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276685 or -1936804\/7?\nAnswer: -1936804\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-10 - -12) - 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 12. Let i be p(-9). Suppose -i*s - 26 = -x - s, 5*x = 3*s + 86. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/9))\/h**6)\/(h**(2\/3)*h)**(-1\/2) assuming h is positive.\nAnswer: h**(-73\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d**2 + 2 - 17*d**2 - 107099*d - 2.\nAnswer: -d**2 - 107099*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from ryrrrryyyryyyyyyyyy?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1729*r**3*s**2 - 2*r**3*s + r**3 + 2*r**2*s - 8*r*s - 2110*r - s**3 - 235*s**2 - 2*s wrt s?\nAnswer: 3458*r**3 - 6*s - 470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1997221 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -18*n - 47. Let l be q(-3). Solve -6*w - 17 = l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -481065.6 > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40596083641408403.0000107 + 40596081067030822. Let g = i - -2574377427. Let p = g - -154. Round p to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 0.45425.\nAnswer: -0.009085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-48))\/((-15285)\/1793440)\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 19 + 4*x**2 + 46 - 14.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, 2806, 8954, 18266, 30742?\nAnswer: 46382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + (6*((sqrt(180) - (sqrt(180) + 2))*-5 + sqrt(180))**2 - (4 + 5*1*sqrt(180))).\nAnswer: 690*sqrt(5) + 1670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59108749?\nAnswer: 7, 419, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/24 and -14\/230133.\nAnswer: 1841064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsn when three letters picked without replacement from nrnnrrs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - -0.3. Let d = 41.3 - 41.5. What is the closest to d in i, 0.3, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 + -105. Put -0.3, d, -12, -2 in descending order.\nAnswer: d, -0.3, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52302.\nAnswer: 2, 3, 23, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2*p - 172 = 104, 686*g + 8*p - 285 = 691*g + 3*p for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.02 + 6.14. Let s = 27.86003 + c. Let o = -0.02 - s. What is o rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*b**4 + 7*b**3 - 5525*b - 1203302 with respect to b.\nAnswer: -28*b**3 + 21*b**2 - 5525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by -66.\nAnswer: -15\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/11 (b) -5 (c) 0 (d) -0.2 (e) -5060 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-5) - (-2)\/10. Suppose 5*w = n - 699, j*n + 0*n = 4*w + 3453. Suppose n = 3*z - 217. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/1125, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 3*v + 12. Let w be s(5). Let g be w\/(-7) - 74\/(-14). Is (4 - g)\/((-2)\/46*1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315 * 0.09\nAnswer: 28.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 573 = 5*i, i + k = -k + 117. Suppose -8*y - 16 = 32. Let d = y + i. What are the prime factors of d?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 233 + -110. Let p = w + -58. List the prime factors of p.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 9*a**2 + 3*a - 32. Let p be k(8). Suppose 0 = -p*z + 62*z. Solve -4*c = 5*o + 27, -5*o + 2*c + 2*c - 3 = z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -4. Suppose 0 = f*j - 4*u + 524, -2*u - u = 5*j + 623. Let b = -88 - j. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 271802918?\nAnswer: 1\/271802918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017563 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 35 = 11*p. What is the nearest to -2\/7 in -0.01, 0.3, p?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(1*sqrt(189)*-1)\/(2*sqrt(3)*4).\nAnswer: 3*sqrt(7)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 39?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t + 0*t + 4*t)*(17 - 16 - 18 + 2 - 2 + 1 + (0 - 2 + 3)*(1 - 2 + 0)) to h*t + z and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 11*l**2 + 18*l + 9. Let k(p) = 5*p**2 + 8*p + 4. Let q(o) = -9*k(o) + 4*u(o). Let i(f) = -7*f**2 - 6. Calculate q(i(m)).\nAnswer: -49*m**4 - 84*m**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27967 - -3?\nAnswer: 2796a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 a factor of 47737626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 572557, 572484, 572387, 572260, 572097, 571892?\nAnswer: 571639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8770 - 8651. Calculate the greatest common factor of o and 2125.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 5\/(30\/2879) - 4\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b - 8*b + 20 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 5, -15287, -5 in decreasing order.\nAnswer: 5, -3, -5, -8, -15287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - p**2 + 6*p - 10. Let d be u(2). Suppose 0 = 4*n - d - 6. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooy when three letters picked without replacement from {o: 14, y: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10744081 and 2219?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 2*m**2 - 7*m. Let i(c) = -c**3 + 6*c. Determine 4*i(t) + 3*s(t).\nAnswer: 2*t**3 + 6*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 478104 and 825816.\nAnswer: 9083976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -484*t**4\/3 - 171380*t**3\/3 - 15178813*t**2\/3 - 459610*t - 10443 = 0.\nAnswer: -177, -1\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l + 67. Let k be b(-3). What is the highest common divisor of 39 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -545*m - 88. Let i be g(-5). Suppose -4*h + i = 3*j, 0*h = -2*j + 2*h + 1758. Round j to the nearest 10.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/((n\/(n*n**(2\/5)*n))\/n)*n*n\/n**0*n*(n\/n**(-1\/9))\/(n\/n**0) assuming n is positive.\nAnswer: n**(338\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1959817.537 to the nearest one hundred.\nAnswer: -1959800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.078 - 5.622. Let m = z - -5.5. Let x(a) = a**2 + 3*a + 3. Let w be x(-3). Sort -0.4, w, -1, m.\nAnswer: -1, -0.4, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*y + y = -37924, -3*y + 25282 = 2*v. Suppose -29*c + v = -0*c. List the prime factors of c.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5617 * 0.3\nAnswer: 0.46851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/6*(-244)\/(-2). Let i = 59 + d. Sort 2\/51, 2\/7, i in increasing order.\nAnswer: i, 2\/51, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.058 to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/12 - 6\/(-2). Let i(o) = g*o + 3*o - 5*o. Let z(k) = k. Calculate i(z(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**3 - j**3 + j**3 + (-2 + j**3 + 2)*(3 + 0 + 0).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -175166.\nAnswer: -2\/87583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 75. What are the prime factors of l?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 602109 or 602071?\nAnswer: 602109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 447305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 807.261nm in millimeters?\nAnswer: 0.000807261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132475868.\nAnswer: 2, 7, 4731281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 71489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 785895\/7 + -112015. Let v = 256 - r. Factor -2\/7*q + 2\/7*q**3 - v + 2\/7*q**2.\nAnswer: 2*(q - 1)*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2*(-6)\/(-2). Suppose -v*n + 4*n - 2 = 0. Let s = 15 + n. What is the greatest common divisor of 28 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 2\/3, 3, -4\/23, 1\/13, 16?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = -5*w + 2*o, -122 = -4*w - o + 112. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88857, 89731, 90597, 91455, 92305?\nAnswer: 93147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(3 + sqrt(320)*3 + -5 + sqrt(320) + (sqrt(320) - (sqrt(320) + (0 + -2*sqrt(320))**2 + sqrt(320))) + sqrt(320)).\nAnswer: -5128 + 128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c. Let w be g(2). Let r be w*(10\/4 - 2). Sort -3\/4, r, 0.2, -1\/10 in increasing order.\nAnswer: -3\/4, -1\/10, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 1. Let r = 0.04 - 4.04. Let c = 9 + r. What is the closest to 0.1 in n, -1\/4, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273 = -2320*a + 2281*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*a - 2 - 137*a + 56*a + 2.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 4980?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**3 - 6*u**2 + 2*u. Let z(n) = 7*n**3 - 12*n**2 + 5*n + 1. Let w(d) = -5*q(d) + 2*z(d). List the prime factors of w(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*k - 115*k - 2 + 2 - 103*k.\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(152) + sqrt(152) - sqrt(152) - sqrt(152))\/(sqrt(8) - (sqrt(16)*2)\/sqrt(2))*-5.\nAnswer: 55*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**3 + 542*k**2 + 1975*k + 390243. Determine a(-181).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1875, 3769, 5663, 7557, 9451?\nAnswer: 11345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1.88602?\nAnswer: -1.88602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -1 - (3 + -8). Suppose 3*m = 6*m - l. Suppose 3*z + 5 = m. What is the closest to z in -0.4, 4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -357.1 - -264. Let i = -93 - h. What is the second biggest value in 0.05, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -12560.\nAnswer: 25120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 486.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1566 is divided by 319?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 2*j. Let v(o) = 6*o**2 + 28*o. Let i(h) = v(h) - 12*y(h). Let n(m) = -17*m**2 + 11*m. What is 8*i(q) - 3*n(q)?\nAnswer: 3*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -50*l - 44. Let c(o) = 7*o + 6. Let m(n) = 6*b(n) + 44*c(n). Let w(z) = 27*z**2. What is m(w(f))?\nAnswer: 216*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14672911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100705 is divided by 33520.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -28*t**2 - 8*t + 1. Let w(g) = 7*g**2 + 2*g. Let b(l) = 2*v(l) + 9*w(l). Determine b(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582 a factor of 1524479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n = 14*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aajy. Give prob of picking 1 j and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 216 - -4930. Let n = o - 51347\/10. Find the common denominator of 19\/14 and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/3)*d\/(d*d**(-7)*d))**(1\/5) assuming d is positive.\nAnswer: d**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1761031 and 2831.\nAnswer: 33459589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27\/470 + 2\/47. Let m = -777 + 28753\/37. Let i = m - -54\/185. What is the biggest value in -2\/9, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-62)\/22 + 4484\/22. What is the derivative of 171 - 8*q - 533 + w + 190 wrt q?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -203683*j + 73. Let f(s) = 101842*s - 37. Let y(w) = -5*f(w) - 3*v(w). Let t be y(6). Round t to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 609534056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000011 + -12?\nAnswer: 1222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/7 + 52*i**2\/7 + 96*i\/7.\nAnswer: 2*i*(i + 2)*(i + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -300, -2372, -7982, -18900, -36896?\n\"Answer: -295*h**3 + h**2 - 10*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**7 + a**5\/20 - 26*a**3\/3 - a**2\/2 + 32*a. Find the second derivative of n(h) wrt h.\nAnswer: -840*h**3 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103.4 + 103. Let b = -358731\/8288 - 3\/1184. Let s = -43 - b. Is s not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x**(12\/5)*x)\/x)**(-2\/119)*(x**11)**(5\/8) assuming x is positive.\nAnswer: x**(32373\/4760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 1 + 18 - 2. Let a(q) = q**2 - 5*q + 2. Let z be a(9). Let b = z + s. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 6 - 5)*(-32*m**4 - 5*m**4 + 5*m**4 + (-3*m - 2*m**3 + 3*m)*(-4*m + 3*m - m)).\nAnswer: -224*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 6:50 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 12. Let y = 34 + -44. Let h = y + 14. What is the second biggest value in -2\/21, h, d?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2949020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15, -5, -0.2, 0.4 in descending order.\nAnswer: 15, 5, 0.4, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiiiiiiivii.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 23*p**2 - 29 - 296143*p + 296143*p - 22*p**2.\nAnswer: p**2 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/23))\/j**(3\/7)*(j*((j**(-4\/9)*j)\/j*j)\/j)\/(j*j**(-14)\/j) assuming j is positive.\nAnswer: j**(21982\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648\/14 - (-4)\/(-14) is divided by (-6)\/(-18 + 5400\/306)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 8*k**2 - 8*k + 6. What is l(-4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.7 - 9.7. Let y = v - -7.5. Round y to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 6. Let k = -1 - c. Sort 0.5, k, -1\/7 in descending order.\nAnswer: 0.5, -1\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 6:10 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 815\/2 or 408?\nAnswer: 815\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 616, 2483, 5594, 9949?\n\"Answer: 622*a**2 + a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1643*o. Let t(j) be the second derivative of j**3\/2 - j + 1546. Give t(l(z)).\nAnswer: -4929*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.117 + -1469591.\nAnswer: -1469591.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-4))\/(m\/(((m\/(m**(3\/5)*m))\/m)\/m)*m))**(-22)*((m*m**(-3\/2))\/(m*m**(-1\/13)))\/(m\/m**(-2\/5))**(-18) assuming m is positive.\nAnswer: m**(1947\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/650, -20, -4, 2\/5, 5 in increasing order.\nAnswer: -20, -5, -4, -1\/650, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 v when three letters picked without replacement from {d: 1, v: 2, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 5*c - 4*c)*(10 + 0 + 4) + (5 - 4 + 3)*(2 - 2*c + 2 - 2) to the form s*c + u and give s.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 350601, 701232, 1051863, 1402494, 1753125, 2103756?\n\"Answer: 350631*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1261\/7 + 179. Let r = -17\/21 - t. Which is the closest to r? (a) -4 (b) -0.7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 96668*y - 8. Let o(z) = z**2 + z + 5. Let x be o(0). Let q = 11 - x. Let v be i(q). What is v rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.98, -3\/1288, 0.01 in ascending order.\nAnswer: -4.98, -3\/1288, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-2 - 10)) + -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let r be f(-4). Let m be 23712\/1311 - (-2)\/(-23). Let h be ((-1)\/((-15)\/m))\/(r\/(-120)). Put h, -5, 1 in descending order.\nAnswer: h, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-60))\/(2\/(-12)). What is the closest to 0 in -9, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4162 + -599423\/144. What is the common denominator of o and -1*(3531\/18)\/(-11)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (0 - (1 - 3)). Let h = -3.06 - 0.94. Which is the smallest value? (a) -0.6 (b) h (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -186*q - 48. Let v be o(-6). Let c be 3\/4 + -1 + v\/48. Calculate the highest common factor of 4 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14 + (-7 - (1 + 2))\/2. Suppose f*r**4 + 34*r**4 - 31*r**4 + 12*r**3 + 3*r**5 = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-80)*(-12)\/27)\/(10\/(-8))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 2\/3*-3. Suppose 2*r + 0*r - 125 = -n, -238 = -4*r + 2*n. Suppose 5*t - 139 - r = i. Calculate the greatest common divisor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(((-64)\/24)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-2))\/(510\/(-272))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26374, 52791, 79256, 105769, 132330, 158939, 185596?\n\"Answer: 24*s**2 + 26345*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccclccclcccclclclcc. What is prob of picking 3 l and 1 c?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97387\/74 - -1316. Is b less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 377*f - 2. Let s(q) = -3*q**2. Give i(s(o)).\nAnswer: -1131*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 180*t**3 + 10*t**2 - 6. Let c(a) = -90*a**3 - 4*a**2 + 3. Give 7*c(q) + 3*m(q).\nAnswer: -90*q**3 + 2*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 10*b**2 + 7*b**2 - 40 - 3*b**2 - 32*b**3 - 4*b**2 in the form n*b**2 + x + t*b**3 + v*b and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -491*w + 3918 + 501 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 238, 2918, 7374, 13600, 21590, 31338?\n\"Answer: -h**3 + 894*h**2 + 5*h - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + p + 42. Let u = -57 + 64. Let l be o(u). Suppose 2*i = -0*i - 3*w - 2, -5*w + 5 = 5*i. Put i, l, -5 in increasing order.\nAnswer: -5, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10132020102 + -2?\nAnswer: 10132020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 98981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3156399?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1677 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is aa - -493250?\nAnswer: 49334a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 83588.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 325105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.87 + 3.37. Round h to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 - 3) + (-19)\/171*-168. What is v in a*v - 20 + 5\/3*v**2 = 0?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t - 3. Let l(x) be the second derivative of 4*x**3\/3 + 5*x**2\/2 - 3*x. What is 5*f(p) + 3*l(p)?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 313\/49?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2740 and 2617680?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.000036 - -11. Round p to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1063661325052.\nAnswer: -1063661325050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2919 + -2914. Solve i*d = 3*l - 22, 0*l + 3*l + 18 = -3*d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(85)*-2 - sqrt(85))*-2)\/(2*-1*sqrt(125)).\nAnswer: 9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1825*n + 1126*n - 69160 = -507*n for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000044843 rounded to 6 decimal places?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4232410 greater than or equal to -4232390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggk when three letters picked without replacement from {k: 1, r: 4, e: 12, g: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isqq when four letters picked without replacement from {m: 1, q: 3, c: 5, s: 3, i: 1}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, 13 in decreasing order.\nAnswer: 13, 9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1 - 20\/(-4)) + -1)*77\/33. Let s(h) = -16*h - 40. Let c(d) = 11*d + 27. Determine i*c(v) + 5*s(v).\nAnswer: -3*v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14517 + 4663?\nAnswer: -7634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(180) - -6*sqrt(180)*1))**2.\nAnswer: 317520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*c + 135*c = 52*c - 110*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (1 - 0) - (6 - (-5 + 2))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(13\/((-195)\/50))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 138629546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g**2 + 224*g + 165. Determine v(-32).\nAnswer: 1189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 105 = -4*s, -2*d + 0*s = s - 219. Suppose -d + 34 = -3*y. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10891, 14039, 17187, 20335, 23483, 26631?\n\"Answer: 3148*d + 7743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 + 4. Suppose 3*s - 9*s = 6. Let p(v) = 1. Give s*y(h) + 4*p(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 882 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 1)*(9*t**5 + 10*t**5 - 9*t**5) + 3*t - 3*t + 2*t**5.\nAnswer: 32*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -160.130068 + -39.5.\nAnswer: -199.630068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -25*c**2\/2 - 27*c + 4. What is the derivative of h(d) wrt d?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/9)\/(k\/(k*k**5))*k**(-8)*k*k**(7\/2))**(-7\/9) assuming k is positive.\nAnswer: k**(-245\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 128069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 19*c**2 - 34*c + 1. Let j be t(-17). Which is bigger: j or 6\/53?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 8:32 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**4\/5 - 198*i**3 - 29694*i**2\/5 - 28706*i\/5 = 0.\nAnswer: -463, -31, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 929843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**3 + 13*r**2 + 37*r - 36. What is o(6)?\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96777 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -118 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 0 + 17*j + 1\/2*j**4 + 0*j**3 + 0*j**2. Let x(b) = -b**2. Give x(o(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -26053 at least as big as -26052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/13)*g**1)\/((g\/g**1*g)\/g**4)*(g\/g**(1\/4)*g)**(-4\/15)*g*g\/g**(-1)*g\/(g*g*(g\/(g\/(((g*g\/(g*g*g**(-2\/3)\/g*g))\/g)\/g)))\/g) assuming g is positive.\nAnswer: g**(1699\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -5*q**4\/6 - 91*q**3\/2 + 43*q**2 - q. Suppose -2*j + 0*j + 82 = 0. What is the remainder when j is divided by v(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - 2*g**2)*(2694*g**2 - 3306*g**2 + 4*g - 6*g).\nAnswer: 1224*g**4 + 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3318 and -2.43.\nAnswer: -8062.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = -4*j. Let h(r) = -r + 4. What is the least common multiple of 8 and h(j)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 1. Let o be q(-5). Suppose -10*w - 4 + 4 = 0. Suppose -o*k + 19 - 7 = w. Solve -3 + 9 = -k*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89243 is divided by 267?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - p + 2*p)*(-4*p - 3*p - 6 + 6*p).\nAnswer: 2*p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/517 - (-30 + (-1654779)\/(-52969))?\nAnswer: -30\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 43994104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbbs when four letters picked without replacement from bsbsbsbsssbsssbsbbbs.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*s - 2076 - 23960, 5*s - 65117 = -y. What are the prime factors of s?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -79*g + 8248. Calculate k(103).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(189) + sqrt(189)*2*3 + sqrt(189)))\/(sqrt(27)*-4 + sqrt(108)\/sqrt(4)))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15678 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 20559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14775a8 + 37?\nAnswer: -1477571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 5. Let s be l(0). What is the nearest to -2\/5 in s, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2037*s = 2036*s - 5, s = 8*d + 35 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2290 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(150) + sqrt(150) + 2*sqrt(150) - sqrt(150)))\/((sqrt(12)\/sqrt(3))\/sqrt(2) + sqrt(2) + 3*sqrt(50) + sqrt(2))*-3*-6.\nAnswer: -45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 1 - sqrt(1377)) + sqrt(204)\/(-1*sqrt(12)) + 4 - ((-4*sqrt(833) + -1 - sqrt(833))**2 + -5).\nAnswer: -20816 - 71*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*f - 680, 3 = -4*y + 19. Differentiate 6*r - 41*r**2 + 11*r + f*r**2 - 9 - 17*r with respect to r.\nAnswer: 268*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*v + c = 64*v - 135640, 4*v - 108501 = 3*c. List the prime factors of v.\nAnswer: 3, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300233532 by 150116766.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + (6 - (5 + 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -3*j**5\/20 + 19*j**4\/4 - 40*j**3 - 150*j**2 - 34*j. Factor n(q).\nAnswer: -3*(q - 10)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.499045 to 1 decimal place.\nAnswer: 100.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27110, -108257, -243512, -432869, -676322, -973865, -1325492, -1731197?\n\"Answer: s**3 - 27060*s**2 + 26*s - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c*c**(-1\/3)*c))**(14\/11)\/(c**(-1\/4))**(28\/9))**(3\/26))**(1\/37) assuming c is positive.\nAnswer: c**(-133\/31746)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 11*b**2 - 9*b + 5. Suppose -l + 10 = 3*f, -l - f = -2*f - 10. Calculate the remainder when z(l) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/18)\/(380\/(-304)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/99*(-5 + (-80)\/(-15))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*n**3 - 267*n - 686 wrt n?\nAnswer: 18*n**2 - 267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -208.907 + 207.8. Round j to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/3326 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 440*o**2 + 6*o + 6. Calculate the remainder when w(-1) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 - -4 - 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -0.1945336?\nAnswer: -0.6945336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1572 and 163308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*s - 223, -l = 2*s - 5*s - 81. Let u = l + 28. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6) + 10\/(-3). Let c = m + 7. Calculate the smallest common multiple of 4 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*v + 272 + 31, -3*d - 243 = -4*v. Let y = 120 - v. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 24. Let c = 691.9905 + -686. Let o = x + c. What is o rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l**2 - 8*l - 13. Give g(-4).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*k + 25*k - 291. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -2*m - 6, -1 = 4*z - 5*m - 22 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 57 + 1996*i + 39)*(i**2 - 2*i**2 + 0*i**2).\nAnswer: -1996*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8476?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.578218 to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((4*sqrt(108)*-2)\/(sqrt(4) - 1*sqrt(196)))**2.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 361294.1 decades?\nAnswer: 43355292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -10 - -7) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45\/83 - -12111\/166. Let y = f - 74. Which is smaller: y or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6*-1)\/3)\/((-1370)\/(-411))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 14. Suppose -8*o = -4*q - 9*o + 16, o = 2*q - 2. Let n = -3\/4 + 1\/2. Which is the closest to n? (a) q (b) -5\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*z = -9, -5*v + 3*z = -0*v - 17. Calculate the smallest common multiple of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Find the third derivative of 2*v**l + 2*v**3 + v**2 - 5*v**2 wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppfp when four letters picked without replacement from {f: 1, p: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*((-416208)\/3016)\/(((-6)\/(-1))\/(-3)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -327823090*w + 437015401?\nAnswer: -327823090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19578 and 2678?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 v, 1 c, and 1 t when four letters picked without replacement from ctitiicivjit.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -7, -0.2, 185, 45 in descending order.\nAnswer: 185, 45, 0.3, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 3*r - 10, -5*a - 3*r - 2 - 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27582 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.18, 2\/83, 12, -5?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 - -0.5. Let t = d - 2. Let a = -0.241 - 0.059. What is the second smallest value in a, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 972 and 2322.\nAnswer: 41796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 15*p**3 + 3*p**2 - 7*p**2 - 8 - 5*p - 22*p**3. Let c(r) = 6*r**3 + 3*r**2 + 4*r + 7. Calculate -5*c(y) - 4*l(y).\nAnswer: -2*y**3 + y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 14 (b) -1 (c) 1278 (d) -3 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 55 + 75. What is the nearest to -11\/5 in -3, u, -2, 1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -37. Let l(z) = -12*z. Let s be l(d). What is the highest common factor of 108 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8964*w + 20 = -4*g + 8968*w, -3*g - 3*w + 27 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10 = 3. Let x be (-4)\/i*1*42\/(-12). Let z(q) = -q**3 - 5*q - 6. Let v be z(-2). Solve 0 = -x*b + 2*w + 4, -v = -0*b - 2*b - 2*w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 123*l**5\/2 - 2343*l**4\/2 - 6831*l**3 - 11226*l**2 - 5340*l + 288 = 0.\nAnswer: -2, -1, 2\/41, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*m - 6079 + 6078 + 187*m.\nAnswer: -48*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(8\/9)\/((d*(d*d**(-14)\/d)\/d*d)\/d) assuming d is positive.\nAnswer: d**(134\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3422295*m**3*o**2*r + 3*m**3*r + 59*m**2*r + 2*m**2 + 3*m*o**2*r + 14*m + 9 wrt o.\nAnswer: 6844590*m**3*o*r + 6*m*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4313 (base 7) in base 11?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - -79. Let s = -84 + w. Calculate the remainder when s is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = v - 7, 73*v - 9 = 69*v + q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13\/10, -1\/4, -3, -4\/9, 2 in ascending order.\nAnswer: -3, -4\/9, -1\/4, 1, 13\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*g = -2145 + 2661. Solve 32*j = -g - 20 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 21*n + 6. Let f(q) = 11*q + 3. What is -11*f(c) + 6*x(c)?\nAnswer: 5*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*m**2 - 3*m - 14*m + 35*m wrt m.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -s - s. Calculate the greatest common divisor of 33 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from illiiliiii. Give prob of picking 1 l and 3 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -33*v**2 - 2*v - 22. Let l(f) = 165*f**2 + 11*f + 108. Calculate 2*l(n) + 11*s(n).\nAnswer: -33*n**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13 - 4)\/(-405) + (2 - 33\/15). Is s >= -1883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -137. Let o = 138.0121 + x. What is o rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w**3 - 376*w**2 + 376*w**2.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 3, 7, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 95*y + 754. Determine q(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 45974 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 18, o: 1}. What is prob of picking 3 q?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 7*n**2 + 7*n - 3. Let x = 199 + -193. Let a be g(x). Solve 0 = r - a + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -23 + 58 + -26\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8357583235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0867267176 and -64.\nAnswer: -64.0867267176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-81)\/(-162))\/(3 + 26866\/(-8956))?\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4851 by 6.\nAnswer: -1617\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l**2 + 8*l - 1. Let t be c(-6). Let d = t + -40. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14278710.\nAnswer: 2, 3, 5, 475957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 137674087909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.032 (b) -5\/2 (c) 1 (d) -0.1 (e) 0.59 (f) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13883 is divided by 13866?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 1\/2 (c) 4 (d) 2 (e) -1\/22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 2*l + 5*a, -5*l - 2*a + 649 = 152. What is the greatest common divisor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4059 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1522)\/(-17503)*115\/1115.\nAnswer: 2\/223","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**3 + 16*b**2 + 16*b - 36. Let d(k) = 8*k**3 + 31*k**2 + 33*k - 72. Let m(h) = -4*d(h) + 9*f(h). Factor m(g).\nAnswer: 4*(g - 1)*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 4, -8, 5, 7 in descending order.\nAnswer: 32, 7, 5, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -24. Which is the nearest to 0.4? (a) 0.3 (b) -1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.8*-11\nAnswer: -107.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/((-396)\/42)*(-24)\/3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than -0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -384400 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*f = -2*n + 53, -n - 2*f + 23 = 0. Let y(a) = -5*a + 4. Let j(d) = -15*d + 11. Let c(v) = n*y(v) - 6*j(v). Determine c(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.048 - -0.0406. What is w rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -24\/11, 32, 3, -52 in descending order.\nAnswer: 32, 9, 3, -24\/11, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*j + 82*j - 232*j + 87*j.\nAnswer: 41*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -10\/7*g**3 + 12*g**2 - 184\/7*g - 1\/7*g**4 + 128\/7 = 0.\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 7:45 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 8:35 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -95970 divided by -5?\nAnswer: 19194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 476684 times 0.86\nAnswer: 409948.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - 532*s**2 + 51*s - 13584. What is o(266)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*r**2 - 7*r**3 + 15*r**4 + 13*r**4 - 27*r**4 wrt r?\nAnswer: 24*r - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -216*n**2 + 213*n**2 + 17 - 4 + (6*n**2 - 10 + 10)*(0 + 5 - 4) - 4*n**2 + 3*n**2 + 4*n**2.\nAnswer: 6*n**2 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42984898 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01269675806 rounded to 4 dps?\nAnswer: -0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - -24. Suppose 3*l - f = -35. Suppose -l*t = -t + 4900. Round t to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 283187006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45511532 (base 7) to base 13.\nAnswer: -a8c9c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o. Let z(t) = 58*t. Calculate d(z(w)).\nAnswer: -58*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1893736 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 55 - (-3 - 1 - -8 - (0 + 12))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 7 = -3*q, -7*q + 3*q + 7 = u. Let k(a) = a**3 - 4*a**2 + a + 1. Let h be k(2). Let z = h + 6. Sort u, z, 2 in increasing order.\nAnswer: u, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 4:39 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4)*4*(-40)\/320?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 320 - 680. Let y be (3\/(-5))\/(x\/150). Sort 42, y, -0.3 in descending order.\nAnswer: 42, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (6 + (12 - 10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311 (base 5) to base 9.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 5*m + m**2 + 1 + 2*m. Let b(w) = 2*w**2 - 17*w + 2. Calculate the smallest common multiple of x(-7) and b(9).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -9. What is the smallest common multiple of 1*2 + 17 + -8 and s?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -11. Let z be 20\/6*(-12)\/o. Solve -4*t = -5*v - 2, -2*v + 0*t - 8 = -z*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 + 253035 + 252956 - 505991 - 8*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = -72. Let y = 239 - 234. Suppose -y*z + 23 + k = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 27*n**4 - 7206*n**3 + 1585789*n**2\/3 - 19134332*n\/3 + 63457156\/3.\nAnswer: (n - 7)**2*(9*n - 1138)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -4443\nAnswer: -4\/1481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than 7128157358.7?\nAnswer: 7128157352.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 6\/(-4))\/((-4)\/64). Let f be -2*2*(5 - h\/(-12)). What is the biggest value in -0.4, 5, f, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 14 = -3*p + 162, -3*p = -4*r - 184. What is the third derivative of -11*x**4 - p*x + 56*x - 4*x**4 + 13*x**2 wrt x?\nAnswer: -360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-1)\/(-10)*8). What is the highest common divisor of 55 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 41, -3 in increasing order.\nAnswer: -7, -3, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23091267*n**3 + 20650*n**2 + 397*n wrt n.\nAnswer: 138547602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uducucucccuccdcuc.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o**5\/3 + 12*o**4 - 176*o**3\/3 - 32*o**2 + 544*o\/3 - 64 = 0. Calculate o.\nAnswer: -6, -2, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 7*t + 9. Let p be k(-6). Suppose -2*l - 3*g - 5 = 0, -5*l - p*g + 2*g + 20 = 0. Is l not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 121?\nAnswer: -60.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c - 396. Suppose -29*k - 31 + 210 + 82 = 0. What is the remainder when c is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*b + 204 = 0, -49*g + 47*g - b + 135 = 0. Suppose 819 + 1425 = g*q. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3105755.\nAnswer: 5, 29, 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 28*s + 176.\nAnswer: -4*(s - 4)*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**4\/4 + 7*w**3\/3 + 5*w**2\/2 - 2. Suppose 2*t - 2*v = -4, 0 = -v - 0*v - 4. Give s(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from ljoj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 5*m - 3. Let s be k(6). Let a = s - 1. Let l(i) = 2*i**2 - 1. What is the units digit of l(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -779, -1781, -2763, -3713, -4619, -5469, -6251, -6953?\nAnswer: -7563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {h: 2, k: 8, t: 1, v: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - ((sqrt(1008) + -2*sqrt(1008) - sqrt(1008)) + -4) - (sqrt(1008) + sqrt(1008)*-1 + sqrt(1008))*1)**2.\nAnswer: 192*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 8 - 1 - 6*x - 3 to the form o + n*x and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 38 = -18. Let u be -1 - (3\/6 + -3). Let k = p + u. Which is greater: 5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 36020763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.39 in 0.4, 2\/4335, -0.2, 1\/10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u**2. Let h(f) = -32061237*f**2. Give h(g(i)).\nAnswer: -1571000613*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 6*u**2 - 3*u. Let o(b) be the first derivative of 1\/4*b**4 - 233 + 5\/3*b**3 + 0*b + b**2. Determine 2*f(r) + 3*o(r).\nAnswer: r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 - 76 - 51*h + 4*h**3 + 0*h**3 + h**3.\nAnswer: -h**3 - 51*h - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210191, 420387, 630583?\nAnswer: 840779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17401372 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/3)\/(15\/190). Let t = 73 + h. Factor -5*y**5 - 10 - 15*y + 4*y**2 + 55*y**3 - t*y**3 + 6*y**2.\nAnswer: -5*(y - 2)*(y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 3\/10*l**5 + 0 + 0*l**4 - 2*l**3 + 0*l**2 - 25*l. What is the second derivative of g(k) wrt k?\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -10\/7, 1.556?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 4) to base 2\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x**2. Let b(y) = y**2. Let d(s) = 12*b(s) - r(s). Let l(o) = 2*o**2. Give d(l(m)).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 1, -0.04, -1, 0.2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -31142?\nAnswer: -31200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2426*j**4 + 764*j**3 - j**2 + 3445835*j wrt j.\nAnswer: -29112*j**2 + 4584*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-two fifths of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 928 and 283359?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/21 in 2, -3\/31, -2, 5, 0?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -16. Let p be (10\/f)\/(12\/24). Solve 0 = -2*y + p*o - 17, -5*y + 2*o + 2*o = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 464377 (base 12) to base 10\nAnswer: 1127179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 + 75. Suppose 6*b - v*b = 0. Are b and 1\/39 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2*m*m*m*m**(-3)*m**(2\/11)*m\/m**(-6))\/(m*((m**0*m)\/m)\/m*m**(2\/7))**(-3\/4) assuming m is positive.\nAnswer: m**(1447\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384384 and 4366362.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 28\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -29045.9.\nAnswer: -580.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 996904 is divided by 816.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 27*g - 0*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 + -56. Let g = 33 - i. Let t = g - 8. Which is smaller: -2\/9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21596.\nAnswer: 2, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by -1028386?\nAnswer: -40\/514193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -9.5 (c) 0.3 (d) 65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:59 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 66*z**3 + 25*z + 122*z**3 - 63*z**3 - 25*z.\nAnswer: -7*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 10*w**2 - 10*w - 6. Let i be (-40)\/(-12)*(-6)\/(-4). Suppose i*d = -2*j - 8, 0*j + d = j + 11. Let g be r(j). Solve g*y - y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2381.4 - 2378.2266. What is k rounded to two dps?\nAnswer: 3.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*w**2 + 96\/7 + 38\/7*w.\nAnswer: 2*(w + 3)*(w + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 55*f**2 - 823*f - 9. Calculate z(15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/17)\/(2 - 1). Suppose -20*s + 5*s + 30 = r. Let u(l) = l + 10. Let q be u(-10). Solve q*v + s*v = -4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1680, -3350, -5010, -6654, -8276, -9870, -11430?\nAnswer: -12950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 810 and 760.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.6 - -9. Let j = -0.5 - k. Let o = -97.03 - -97. Which is the nearest to j? (a) -0.3 (b) o (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 726934373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*c = 2*c + 1, -c + 3 = 0. Suppose w = 3*y + 7. Let g = 17 - y. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeeeeeeeeyeeege.\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 10:14 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n**4\/5 - 14*n**3 - 102*n**2\/5 - 26*n\/5 + 14\/5 = 0.\nAnswer: -7, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57389?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = 12*d - 303. Suppose -5*h - d*r + 40800 - 9145 = 0, 0 = 3*h - 3*r - 18993. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.131 times 340?\nAnswer: 44.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19999 + 19997. Are -109\/79 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.203 (b) 1 (c) 4\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 0.0765889152, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-537)\/(-15) + (-4)\/(-20). Is 4*3\/(s\/201) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*u**4 - 62*u**2 - 24 - 71*u**3 - 73*u**3 + 134*u**3 + 112*u.\nAnswer: 2*(u - 2)**2*(u + 3)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 2, -11, -32, -61, -98?\n\"Answer: -4*j**2 + 7*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*y - s - 0, 2*y + 15 = -5*s. Put 100, y, -2 in ascending order.\nAnswer: y, -2, 100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -g + 13, -3*s + 455*g - 453*g = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10913 and 342980.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00347494 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58625\/10 - (5 - 11)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -199, 1 in decreasing order.\nAnswer: 1, -3, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 - 34*t - 14. Let k be f(-16). Let n(v) = 13*v + 74. Does 22 divide n(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 9:42 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17097475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 550\/45 - 2\/9. Suppose 12 + w = 4*o. What is the lowest common multiple of 1 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 29. Find the second derivative of -304*n + 315*n - m*n**3 + 0*n**3 wrt n.\nAnswer: -78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 11*c + 2. Suppose -17*q + 2 + 32 = 0. Suppose 0 = 4*l + i - 13, -q = 2*i - 4. Determine v(l).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 132475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 4*c - 9, -187*d + 191*d - 4*c = 36 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(2\/11)*i*(i**(-6\/5)*i)\/i*i)\/(i*i**(1\/3))**(3\/29))**(3\/17))**(-50) assuming i is positive.\nAnswer: i**(-136080\/5423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*d**3 - 4*d**3 + 8*d**3 + 5 - 5 - 2*d**3 + (4*d - 2*d - d)*(-3*d**2 + 3*d**2 - 2*d**2) to i*d + z + m*d**3 + v*d**2 and give m.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 38*y - 319. Give t(6).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13734 divided by 2?\nAnswer: 6867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -145*n - 78?\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 1, x: 1, h: 6, l: 3, e: 1}. Give prob of picking 1 l and 1 e.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 459 = -2*q, -303*k = 2*q - 304*k - 431. What is the remainder when q is divided by 103?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -1388.4.\nAnswer: 1388.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 6*t**2 + 2. Let y be j(-6). Let v(a) = -37*a + 114. Let n(b) = 6*b - 171. Let q be n(29). Let u be v(q). Solve u*c = -y*c + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 - 12*z**2 + 12*z - 4. Let y be c(5). Solve 0 = -2*k + y*k - 4*s, -2*k = -5*s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -151*g + 31287. What is s(206)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63102188.\nAnswer: 2, 15775547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1273 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: Simplify (((f**(-1\/3)*f*f)\/f)**(-4\/17)\/(f*f*(f*(f*f*f**3)\/f)\/f*f**(3\/2)\/f*f))\/((f**(2\/3))**43\/(f**(-6)*(f**(2\/3)*f*f)\/f)) assuming f is positive.\nAnswer: f**(-4147\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*f**5 - 45965*f**4 - 3485330*f**3 - 1539960*f**2 = 0.\nAnswer: -939, -82, -4\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57505606833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 2*a**2 + a - 3. Let w(t) = t**3 + 13*t**2 + 10*t - 16. Let x be w(-12). Suppose -21*o - x = -25*o. Let u be f(o). Which is bigger: -1\/29 or u?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - g = -286. Calculate the remainder when 128 is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*b**2\/5 + 18887*b\/5 + 342 = 0 for b.\nAnswer: -18\/199, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34139510 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 4 + 0)\/1. Suppose f = -5*d + 2 + 3. Let u(i) be the first derivative of 3*i**2 + 3. Give u(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 14*l + 13. Let s be g(11). Let m = s + 25. Solve 3*a - 13 = 5*x, -3*x - a - 10 = -m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35719325 to the power of 1\/3, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2 + 4*z - 2. Let g(y) = 5*y**2 - 3*y + 1. Let c(j) = 4*g(j) + 6*v(j). Solve c(s) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 - 126 + 124)*(-j + 2*j + 0*j)*(j - 3*j + j).\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -1\/6 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 353*p**6\/30 - 871*p**4\/24 + 729*p**2. Find the second derivative of b(d) wrt d.\nAnswer: 8472*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 4*m = 41, -24*m - 6 + 77 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179 + -175. Suppose -4*x + 575 = 5*n, 9*x - 727 = a*x + 2*n. What is the remainder when x is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 437785 and 4.\nAnswer: 437789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-10)*r)\/(r*(r\/r**(2\/29))\/r))**(3\/10)*(r**(-8)\/r*r*r**(-6))\/((r**(-5)*r)\/(r*r\/(r*r**3))) assuming r is positive.\nAnswer: r**(-2172\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/1800 and -83\/10440.\nAnswer: 52200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2 + 22 = 4*q, -5*q = -b - 25. Let z be 10 - (2\/(-10) - 9\/(-45)). Suppose -2 - 50*d - q*d**2 - z + 5*d - 28 = 0. What is d?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13*(-5 + 2) + -12 + 10. Let r(z) = 39*z**2 + 3*z - 3*z - s*z**2. Let p(b) = -5*b**2. Determine p(r(o)).\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 7. Let t(v) = v. Let d(l) = p(l) + 3*t(l). Let o(r) = -1. What is d(s) + 6*o(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-427)\/(-34160)*1\/1?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1207 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 39 = -4*u, 3*h - 11*u = -14*u + 21 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -8. Suppose x = l + t, -l + t + 16 = -2*t. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - d**2 - 2*d + 91. What are the prime factors of o(0)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2342*z + 6. Let x be m(2). Is (-5)\/15 + x\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h + 21*h = -948. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7756 plus -3?\nAnswer: 0.7756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*(-12)\/16?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3323*u + 1508670. What is z(454)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/5)\/(32\/(-160)). Let w(f) = -8*f**2 - 16. Let a(i) = -i**2 - 1. Calculate u*a(v) + w(v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20459 - -20463. Which is the second biggest value? (a) -5 (b) t (c) 1\/1349\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/10)\/f*f)\/f)\/f**(1\/9)*(f**2*f)**(-43))**18 assuming f is positive.\nAnswer: f**(-11701\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3858 - -8206. Suppose 4*d - 295 = x - 2464, 2*x + 2*d - a = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.6 + 21.2. Which is the third smallest value? (a) -0.6 (b) w (c) -0.9 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*18783.6\nAnswer: 37567.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*n - 216 = 239*n + 294 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18676 - 18678. Let d(z) = 10*z**3 + z**2 + 5*z + 5. What is d(k)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.59 + -1.19. Let n = 6 + -5.8. What is the fourth smallest value in -3, 1\/14, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/3 - 5*w**2 - 52*w\/3 - 12.\nAnswer: (w - 18)*(w + 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 2. Let z be (-9)\/15*(-280)\/24. Give p(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -171*h + 12562. Calculate i(74).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 + 9*p**3 - 9*p**2 - 33*p - 18.\nAnswer: 3*(p - 2)*(p + 1)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4381154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 1527 = 3*g + 4*y, 4*g - 2*y - 2078 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5003, 9762, 14521, 19280?\n\"Answer: 4759*k + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 306*d + 2448. Determine n(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**6\/30 - 8*x**5\/5 + 2*x**4\/3 - 2*x**3\/3 + 32*x. Find the third derivative of k(s) wrt s.\nAnswer: 24*s - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 140*o**2 + 4483*o**4 + 7875*o**4 - 2908*o**2 - 7968*o**2 wrt o.\nAnswer: 296592*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -199236 (base 10) to base 8.\nAnswer: -605104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1063816.\nAnswer: -3\/1063816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -34719 in descending order.\nAnswer: 5, 4, -34719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = m + m + 6, 5*m = -3*f + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 72268 divided by -203\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*v + 0*v = 6, -r + 5*v + 10 = 0. Suppose 2*s - 2*n = -r*n + 204, 2*s = 5*n + 219. List the prime factors of s.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 0*h**2 - 21 + 3*h**2 - 11 - 6*h**2. Let r(g) = -27*g. What is b(r(s))?\nAnswer: 162*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2033*s - 7091*s - 4302*s - 4961*s - 6404*s)*(-3*s**2 - s**3 + 3*s**2).\nAnswer: 20725*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10000 - 143?\nAnswer: 4302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 + 71*q**2 + 71.\nAnswer: 71*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*f + 42 - 42 - 3*f + 2*f + 0*f + 3 - 3 - f + (0 - 4 + 3)*(-1 + 1 + 2*f) + 0*f + 4*f - 3*f - 2*f - 11*f - 16*f.\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a kilogram in grams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * -89175.37.\nAnswer: 4458.7685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -17*i**3 + 3*i**2 - 8*i - 17. Suppose -4*p = p. Let j be -1 + (-3 + -3)\/2 + p. Is k(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 12, c: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -45. Suppose -2*m = s*m - 750. What is the units digit of (3 - 5) + (m + -2 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-1 - (-2 + 0 + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-3 - 1) + -1 + 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9964.08 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 332401 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -5)\/((-2)\/(2 + 0)). Sort 1, p, -1 in descending order.\nAnswer: 1, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((0 + sqrt(1300))*-4 - (sqrt(1300)*1 + 4)) + (1 + sqrt(1300) + -2 - (sqrt(1300)*2 - sqrt(1300))*-2))**2 + 1)*5.\nAnswer: 1000*sqrt(13) + 26130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2436 and 785784.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51022083 divided by 21?\nAnswer: 2429623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2763925370 to the nearest integer?\nAnswer: 52573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 + 2. Let s = 4 + -4.01. Let i = 3.01 + s. What is the closest to y in -5, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 12 = -6*s. Let k = -14\/25 + 104\/275. Put -5, s, k in ascending order.\nAnswer: -5, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 204 + -140502?\nAnswer: -140254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 5:11 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -23, 11, -1, -40, 5.\nAnswer: -40, -23, -1, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*o + 256*o - 173150101 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**3\/2 + 3*l**2\/2 + 11684*l. Let w(m) = -m**2 - 12*m - 9. Let b be w(-11). Calculate s(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4, 2\/15, 5, -3 in ascending order.\nAnswer: -3, 2\/15, 0.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*w**2 - w**2 - 80 + 80 as a*w**2 + u*w + i and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(133) + sqrt(133)) - sqrt(133))\/((sqrt(896) + sqrt(56))\/sqrt(8) + sqrt(7)) + 3.\nAnswer: -2*sqrt(19)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)*d**(-4)*(d**(-1\/2))**16)**15)**(-16) assuming d is positive.\nAnswer: d**3120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 108 = -p. Let i = 35 + -415\/12. Let s = i + 361\/12. Calculate the common denominator of s and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34623822*r**3 - 6*r**2 - 1121857183 wrt r.\nAnswer: -103871466*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*y - 3870 = 139*y - 2*q, 0 = 2*y + 4*q - 1950. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 26809.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = -5*f - 5*w - 23, 432259*f - w + 51 = 432266*f + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1291318 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1147 and 11766.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*s - s - 12 = 0, -2*s + 5 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50\/(-5) - 2 - 3. Let v be (-100)\/l + (-6)\/9. What is the second derivative of -v*z**4 - 3*z**4 + 7*z - 13*z - 9*z**4 wrt z?\nAnswer: -216*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 42 + 1119 + -1213.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13086 bigger than -2121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*u + 2*i, u - 3*i + i - 2 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5455 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140579736 by -88.\nAnswer: 1597497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244 divided by -14802.\nAnswer: 122\/7401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 150\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 112 or 108?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -10*f. Let r(u) = -1252*u - 2. Calculate r(x(j)).\nAnswer: 12520*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 - 72. Let u = -16 - f. Let s = -47.999892 - u. Round s to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1818*g + 2040*g + 2804 = -2168 - 1022 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + c**2 + 2*c**2)*(2*c - 6*c + 2*c) + (0*c**2 + c**3 + 0*c**2)*(-1 + 0 + 0)*(0 - 5 + 15).\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -282, -1123, -2526, -4491, -7018, -10107?\nAnswer: -13758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 15*d - 27. Let b be v(-16). Let o(r) = 2*r**2 + 20*r - 7. Suppose 5*c - 172 = c. What is the remainder when c is divided by o(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/27)\/(930\/1116). What is the nearest to -2\/7 in -0.3, 1, c, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 5*c**2 + 3*c. Let d be q(2). Is ((-15)\/d)\/(-5)*-118 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 301345 a multiple of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 303350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 43*z**3 + 96*z**2 + 6*z + 1. Give t(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0408503 - 0.0409. Round r to six decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.4492 - -5.96. Let q = -0.52 + i. What is q rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93723102 a multiple of 1494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.019, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (267495\/30)\/(-17) - 6\/(-4). Let j = -504 - i. Let v be (14 + 1)*(-38)\/(-6). Calculate the highest common divisor of v and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 6)*(2*t - t + 0*t) - 5*t + 2*t + 4*t + (-4*t - t + 4*t)*(1 + 2 - 9) - t + 4*t - 4*t)*(18 - 14 + 16).\nAnswer: 60*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3\/2 (b) 376 (c) 0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(9)\/sqrt(3)*-1) + (4 + sqrt(75))**2 + (2*sqrt(33)*1)\/sqrt(11).\nAnswer: 44*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 4) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 90512*x + 512026384.\nAnswer: 4*(x + 11314)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 969.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*a - 515, 703 = 5*a + 2*k - 562. Suppose 0 = 4*v - a - 253. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15 - 0)\/((-6)\/(-72)*12). Solve 2*j + o = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 2*q**2 + q + 3. Let x be l(-2). Which is smaller: 6\/19 or x?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1340 divided by -4.\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101709 is divided by 33879?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 178\/3*w**4 + 1154*w**3 + 4312\/3*w - 2*w**5 + 0 + 4690*w**2 = 0.\nAnswer: -7, -1\/3, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42607193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54975 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 890 = 2*v, -v + 67 - 954 = -4*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(3300) + sqrt(3300) + -2*sqrt(297))\/(-5*sqrt(147)*-2 + sqrt(147) + (sqrt(147) - (sqrt(147) + 2*sqrt(147)*-1))).\nAnswer: -36*sqrt(11)\/91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 41. Let t be (4\/(-8))\/(a\/9070). Suppose 12*l = 7*l + t. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 + o - o + 162631*o**4 - 162634*o**4 + 55*o**2 + 81*o**2 - 3 to v*o**3 + c*o + a*o**2 + w*o**4 + n and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -378220 divided by 10?\nAnswer: -37822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d*d**(-1\/3))*d)\/d*d))**(-1\/7))**(-19)*((d*(d**(1\/3)\/d)\/d)**(5\/18))**27 assuming d is positive.\nAnswer: d**(-124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10.5476 and -31.\nAnswer: -20.4524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2552*i**4\/5 + 3840*i**3 + 20866*i**2\/5 - 14832*i\/5 - 72 = 0.\nAnswer: -6, -2, -15\/638, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26182 - 4?\nAnswer: 2617b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1573) + 3 - sqrt(1573))*-3)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2561, -3 in decreasing order.\nAnswer: 10, -3, -2561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 18*i**2 + 32*i - 7. Let x be d(-16). Sort x, 4, -5.\nAnswer: x, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 5*s**2 + 5*s. Let c be y(-4). Let b be 50\/c + (-2)\/(-4). List the prime factors of 40\/b*(-4 + 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(17) + -4) + 4.\nAnswer: -5 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 2*d**2 - 8*d + 7. Let r be w(-7). Suppose -r = 2*z - 6*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (65\/15)\/(1\/3). Suppose 3*f + 2*l - 38 = -h, -3*l - 10 = -5*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1278066.\nAnswer: 2, 3, 293, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 216565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1277 by -28.\nAnswer: 1277\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-180)*-9*(-8)\/(-3). Sort o, -4, -15, 5 in descending order.\nAnswer: 5, o, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from pltpllptptp.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6929 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 7*o = -7. Suppose 0 = 2*t - o*t. Solve t = 4*k - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*g + 3*g**4 + 3*g**4 + 2*g**2 - g**4 - 40*g - 2*g**4 - 10 to the form s + y*g**2 + d*g**3 + p*g + f*g**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - q**2 + 2*q**2 + q)*(q**2 - 3*q**3 + 3*q**2 + q**3) - 38*q**5 + 9*q**5 + 35*q**5.\nAnswer: 8*q**5 - 6*q**4 + 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6285, 12593, 18901, 25209, 31517?\n\"Answer: 6308*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.83 - -4.33. Let s = 0.115 + -3.115. Put s, a, -79 in decreasing order.\nAnswer: a, s, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*v = v + 2, -v = -4*a + 25. Let p be (-16)\/(-1 - 1) + 0\/1. Sort -3, 3, a, p in decreasing order.\nAnswer: p, a, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -802, -1614, -2408, -3184, -3942?\n\"Answer: 9*y**2 - 839*y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 - 8*a**2 - 19. Let i(g) = 4*g**3 - 15*g**2 - 41. What is 6*i(s) - 11*v(s)?\nAnswer: 2*s**3 - 2*s**2 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96\/193 + -27023\/1158. Find the common denominator of l and -17\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -6715509?\nAnswer: 14\/6715509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5900 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 - -16.8. Let d = 14.998436 - o. Round d to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -15 - -5) + (-4 - -5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/216)\/(9\/24*-1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -0.9. Let b = 5 + -4.2. Let d = -0.4 + b. Which is smaller: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 247314013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0185 and 0.1?\nAnswer: 0.0815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlkk when four letters picked without replacement from mmlmmmmkmbblkmmbl?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 - 372\/24) + (-3)\/(-6). Let a = -0.1 + 0.06. Let k = 0.46 - a. Sort k, w, -0.4.\nAnswer: w, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6987418 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12758300 rounded to the nearest one hundred thousand?\nAnswer: -12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28 (b) 4 (c) -4 (d) 1\/4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*i + 15 = 0, 5*d - 2*i - 1 = 4*d. Solve -2*r - 34 = d*g - 13, 4*r - 5*g = 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106112 and 44766?\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 340.7 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 90\/(-60) - ((-365)\/(-25))\/(168\/10). Which is bigger: s or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/70)\/((-3)\/(1170\/(-12)))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1312 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34755224797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -162 * 56.\nAnswer: -9072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:32 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157*r + 42 - 35*r + 301*r - 20 to q + v*r and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-14 - (-3 + -6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 - 16*a**2 - 12*a + 5. Let k be g(-10). Suppose -3*c + 8*c + k = 0. Let u be 4\/(-2) + (-204)\/c. Which is greater: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-12) - 4\/(10 - 6). What is j in -j**4 + 0 + t*j**5 + j**2 + 0*j - 1\/2*j**3 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**3 + 1. Let k be n(-1). Suppose -k*h - 168 + 38 = 0. Let l = h + 36. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 33*o - 13. Let l(h) = -16*h + 7. Let u(m) = 11*l(m) + 6*w(m). Let y be u(-1). Let f = 32 + y. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60*60\/(-1680)*(-2)\/(-5)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*w**2)*(229*w + 182*w - 10*w) to f*w**3 + y*w**2 + x + s*w and give f.\nAnswer: 802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-28) - 6390\/(-8). Let k = 1121 - g. What is the greatest common divisor of 92 and k?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 2, z: 1, a: 1, k: 2, j: 1}. What is prob of picking 1 j and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.14 + 12. Let k = i - -3.94. Let f = k - 4. Is f > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-6 + (-115)\/(-15))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*v**2 + 25*v**2 + 8*v + 27*v**2 to the form r*v**2 + g*v + f and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2. Let h be (-8)\/(-28) + 65\/(-7). Let q be (-26)\/(-4) + h\/(-6). Let c(p) = p + 8 - q. Give c(y(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + l**2 + 0*l + (-2*l + l + 2*l)*(3 - 3 - l) - 3*l**2 + 4*l**2 - 2*l**2 - 179 + 10*l**2 + 179 + 8*l**2 - 4*l**2 + 0*l**2.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -8.\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**5 - q**4 - q**3 - q**2 + q. Let u(w) = 4*w**5 - 16*w**4 - 22*w**3 - 14*w**2 + 6*w. Let k(t) = 6*p(t) - u(t). Suppose k(d) = 0. What is d?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -9)\/12*(2 - 2). Which is the third biggest value? (a) w (b) -3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sccccccsscccgcccc?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 1550775606.39.\nAnswer: -1550775603.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4571820 != -4571824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*4 + sqrt(204) - sqrt(204))\/sqrt(12) + 3 + sqrt(2057) + (-3 + sqrt(2057) + -1 - sqrt(2057)))**2.\nAnswer: -30*sqrt(17) + 3826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -459 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -34*w**2 - 3*w + 3. Let a(g) = 851*g**2 + 74*g - 74. Let k be (-43)\/(301\/(-70)) - 13. What is k*a(l) - 74*n(l)?\nAnswer: -37*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 20*h + 498. Calculate l(-20).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from guwfvcg. What is prob of sequence cuwf?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + 92. Suppose -4*v - 5*l + 150 - 53 = 0, 0 = 4*v - 4*l - 52. What is the greatest common divisor of v and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-58)\/(-87))\/(-14*(-1)\/(-36)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**3 + t**3 + t**3 + (-5*t + 0*t + 4*t)*(6*t**2 - 3*t**2 - 2*t**2) + 89*t**2 + 7474*t**3 - 14967*t**3 + 7486*t**3.\nAnswer: -11*t**3 + 89*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*c + 5*a, -2*c - 3*a + 0*a - 12 = 0. Let b be -88 + c + (-8)\/(-2). Let l = b - -162. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/(-280))\/(12\/(-5))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3986186.\nAnswer: 2, 43, 46351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p. Let t(l) = -l**3 + 4*l**2 - 2*l - 2. Let v = 10 - 8. Let j be t(v). Let k(u) = -3*u**2 - 3*u**2 + 6*u**2 + u**j. What is z(k(c))?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.5 + 12.4957. Round d to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - (27 + 2 + -22).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52007 < 51539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 7*a**2 + 3*a + 99. Determine o(8).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1250 (base 10) to base 7.\nAnswer: 3434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/31, 2, -1, 1, -5, -18 in descending order.\nAnswer: 2, 1, 2\/31, -1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 0 - -10*2. Let n(i) = 109*i**2 + 8*i + 9. Let v be n(-1). What is the greatest common factor of v and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 4*w. Suppose -j = -5*s - 11 + w, 2 = -s. Suppose g + 4*o + o + 22 = 0, 5*g = -3*o - 22. Which is bigger: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186084230 to the power of 1\/2, to the nearest integer?\nAnswer: 13641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -644 (base 15) to base 7\nAnswer: -4060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*w - 54*w + 107*w + 34)*(w**2 + 1 - 1 + (w + 3*w - 2*w)*(-w + 5*w - 2*w) - 3*w + 3*w - w**2 + 2*w**2 - 4*w + 4*w + 3*w**2 + 0*w**2 - w**2).\nAnswer: -16*w**3 + 272*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.10954 (b) 1 (c) -0.2 (d) -0.024\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6*h - 18 = 4*h, 5*l = 4*h - 32. Let j(a) = 2*a**2 + 5*a. Determine j(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, d: 5, c: 5, w: 1}. What is prob of picking 1 g and 2 d?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*r**2 + 148*r - 12 = 0. What is r?\nAnswer: 1\/12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sasxxqassss. Give prob of picking 1 a and 2 x.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 13 = -z, 31 - 105 = -4*z - 2*v. Suppose -z*w + 7204 = 1246. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 1)\/(3\/15). Factor 2*m**r - 23*m**4 + 27*m**4 + 2*m - 4*m - 4*m**2.\nAnswer: 2*m*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.71213ml?\nAnswer: 0.00271213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37453 - -37451. Sort m, -0.137, 4, 0.5, 5 in descending order.\nAnswer: 5, 4, 0.5, -0.137, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7. Let b(t) = t**3 - t**2 - 1. Let h(a) = -9*a**4 - 33*a**3 - 9*a**2 + 12. Let l(d) = y*h(d) - 9*b(d). Find z such that l(z) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4 = -0. Let n = 8 - b. What is the remainder when 28 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110 + 109.8. Let p = -3.223 - 0.277. Which is the closest to 0.2? (a) p (b) -0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c - c - 14*c - 2*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -4c?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*60\/35.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13226242543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 12) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, h: 4, y: 2, s: 2, w: 3, f: 1}. What is prob of picking 1 f, 1 d, and 1 h?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 2637*u + 2633*u - 10, 2*u = 5*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -53*p + 116663 + 28447. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8d15c (base 14) to base 8.\nAnswer: -27701216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -18. Let m = 14 - h. What is the lowest common multiple of m and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 8*g - 5*g + 8, 0 = -4*j - 4*g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*d - 6*d - 1176000. Round d to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (90\/105)\/(((-4)\/56)\/(4\/(-6)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -15. Let o = 3 + y. Which is the nearest to -1? (a) 1 (b) 1\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185284 and 5632?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/(-6))\/(20\/(-30)). Which is the biggest value? (a) 5 (b) 3 (c) 2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*a**2 + 13*a**2 + 2 - 6*a + 16*a to the form f + m*a + r*a**2 and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.63, -5\/789, 0.04?\nAnswer: -5\/789","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -52480, -104968, -157456?\n\"Answer: -52488*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 351.8 < 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + ((sqrt(396) - sqrt(396)*1) + 0 + -2)**2*-4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 2. Let m be a(2). Let z = 0 - m. Suppose 0 = -p - 210 + 213. Solve -4*x - 4*t - 8 = z, -2*t = -p*x + 2*t + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2 - -3 - 4). Sort l, -3, -1 in descending order.\nAnswer: l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -49*h**7\/225 + 5096*h**6\/225 + 2996*h**5\/25 + 1296*h**4\/5 + 1488*h**3\/5 + 8278*h**2. Factor y(a).\nAnswer: -2*(a - 62)*(7*a + 6)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98.0073 - -98. What is f rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 * 4260.\nAnswer: -251340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.354 + -186.354. Let o = h - -187.4. Sort o, -4, 0.4.\nAnswer: -4, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.012 - -5.512. Which is the smallest value? (a) v (b) -5 (c) 0.3 (d) -1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -1, -4, 16, -3 in decreasing order.\nAnswer: 40, 16, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(242) + sqrt(242) + 2*sqrt(242) + sqrt(242)))**2.\nAnswer: 6050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14695163, 14695157, 14695139, 14695103, 14695043, 14694953, 14694827?\n\"Answer: -u**3 + u + 14695163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2411796 is divided by 602942.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**3 + 3*g**2 - 6*g - 13. Let k(b) = -4*b**2 - 7*b + 7. Give -5*k(f) - 6*u(f).\nAnswer: 2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -188590645 - -188590494.0000092. Let h = -151 - x. What is h rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 4*r**2 - 4*r**2 + (-3 + 3 - r**2)*(-3 + 0 + 2) - 4*r**2 + 5*r - 5*r + (3*r - 3*r + 2*r)*(-3*r - r + 2*r).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -698, 2, 4 in descending order.\nAnswer: 4, 2, -4, -698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209, -387, -585, -803?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -673*w**3 - 431*w**3 - 903*w**2 - 1275*w**2 - 27*w**3 wrt w.\nAnswer: -6786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -53*m - 56. Determine p(-5).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -577*w + 151 - 1316*w + 143 - 294.\nAnswer: -1893*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, m: 2}. What is prob of picking 1 m and 1 u?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(1 - 17) + (-11880)\/(-100160). Let v = y + -600\/4069. What is the closest to -0.1 in 2\/21, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86432750?\nAnswer: 2, 5, 345731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*h - 17*h + 120 - 3*h**2 + 2*h**2 + 36*h = 0. What is h?\nAnswer: -8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.23 less than or equal to 125.82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1845, -2185, -2525, -2865, -3205, -3545?\n\"Answer: -340*a - 1505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 + 149 - (1 - (0 - (2 + -4)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 218279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 74249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3799 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3888283 is divided by 144?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -57, -319, -603, -921, -1285, -1707?\n\"Answer: -2*y**3 + y**2 - 251*y + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 4*q + 13350 = 13435, -l = 6*q + 17 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3072 and 14256.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 103.379 and -14688.3.\nAnswer: -14584.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-1)\/(1\/(-36)). Let m(i) = -5*i**3 - 4*i**2 + 2*i + 2. Let y be m(-3). What is the highest common factor of y and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y + 89. Let p be c(-21). Suppose -p*t + 317 = -223. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/9564 and 187\/48570.\nAnswer: 77420580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + -3*sqrt(275) + sqrt(275)).\nAnswer: 12 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-four fifths of a decade?\nAnswer: 1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -418551 - -418556. Let m = 0 + 0.6. What is the second biggest value in 0.7, m, w?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31775822763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -13*g. Let l(n) = n**2 - 5*n. Let s be l(4). Is 21 a factor of y(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*2\/(-4) - -4. Let r = 6 - 3. What is the third biggest value in q, -4\/5, r?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 5)*(-43*o - 13*o - 7*o)*(-o**4 - o**4 + 4*o**4) - o**5 + 2*o**5 - 3*o**5.\nAnswer: 1258*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 8. Let m(n) = -12*n + 12. Let c be m(1). What is a(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 - -80. Solve -d - j + 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 2*u + 5*u + (2*u - 1 + 1)*(0 - 3 + 1) - 11*u - 11*u + 6*u - 6*u + 0*u - 15*u to s*u + f and give s.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -5. List the prime factors of (27\/(-6))\/l*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 5*l + 27*k = 11 - 20, 23*k - 21*k = 2 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43, 69, 109, 169, 255, 373, 529?\n\"Answer: n**3 + n**2 + 16*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15267846 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25946 bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (13 + (-4 - 14) - 10) - (5 + 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, 14.6, 2\/15, -1\/7, -2, 138, 0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 115131439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1427?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, k: 12}. Give prob of picking 2 h.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + 16*i**2 - 135 - 2*i**3 - 75*i**4 + 10*i**4 + 71 to w*i**3 + o + a*i + z*i**4 + m*i**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t**2\/4 - 41*t\/4 - 265\/2 = 0. What is t?\nAnswer: -5, 106\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 766.7 + -767.3. What is the fifth biggest value in -2\/13, 5, -19, n, 3\/2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/63*-6*12\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 1101?\nAnswer: -1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3352 divided by 5\nAnswer: 3352\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6548989*n**3 + 2139943*n**3 - 2404255*n**3.\nAnswer: -6813301*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1308.5823 rounded to the nearest integer?\nAnswer: -1309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-132)\/8)\/(9\/(-48)). Suppose -5*y - h = -27*y. Suppose 0 = -t + 4*t + 5*m - 159, -y*t + 3*m = -212. Is 55 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 37*s + 250. Let y be g(-6). Calculate the highest common factor of y and 364.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 15 = -447*c - 440*c + 890*c, 0 = -3*c - 0*c + 15 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 178328745 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l = 32*l - 65400. Let x be -4*16805\/l*2. Let z = x + 6\/109. Calculate the common denominator of 14\/11 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 4. Let h = 3 - v. Let m(g) = 4*g**2 - 26*g - 7. What is the remainder when m(7) is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 - 63. Suppose q - 4*j = 7, q + 5*j + x = 6*q. Suppose 3*d - q*d + 28 = 0. Calculate the smallest common multiple of 4 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 5. Let i(a) = -a**2 - 5*a + 1. Let k be i(-4). Let w be l(k). List the prime factors of (-70)\/(-4)*32\/w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451486339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -673309\/48 - -14028. Find the common denominator of x and 19\/1584.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9812 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*b + 47*b + 70 = 0, 4552*r = 4565*r - 2*b - 37 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -525562 or -525561?\nAnswer: -525561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21906 divided by -2\nAnswer: -10953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 18*g - 175. Let i be j(10). Suppose 9*n = i*n + 12*n. Solve 4*c + 4 = -2*t, 5*c + 4*t = -n - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -290*o**3 + 4*o**2 + 3*o + 5. Suppose 0 = 13*s - 28*s - 60. Is g(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/2483 - -42169\/104286. Let o = -973\/228 - -1341\/266. What is the common denominator of y and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.45, -13, 1\/4, 1.9?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 116.6903\nAnswer: 58.34515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/41 in -0.05, 0.4, -5, 1\/2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15192 + -15192.1. Let m = 71 - 139\/2. What is the second biggest value in m, 5, p, 0.05?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 18*k + 2. Suppose 4 = 5*p - p. Let h be d(p). Is h >= 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 640 - 645. Let y be (1070\/(-105))\/(-2) - (-25)\/b. What is the second smallest value in -5, y, 0.5, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28176 and 84912.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 2:27 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -1\/2*g**2 + 7 + 0*g. Let b(d) be the third derivative of -d**4\/3 - 2*d**2. Determine a(b(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 318*a**3 + 2796*a**2 + 4642*a + 2163.\nAnswer: (a + 1)**2*(a + 7)*(a + 309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*i**2 + 12*i**2 - 11*i**2)*(i + 2*i - 5*i).\nAnswer: -92*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 68743933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -31614, -5, -4 in descending order.\nAnswer: 5, -4, -5, -31614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*s - 35. Let q(i) = i**3 - 7*i**2 - 4. Determine q(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**3 - 103*x**2 - 2 - 101*x**2 + 98432*x - 98432*x + 201*x**2. Let o(c) = -9*c**3 - 5*c**2 - 3. Give 3*o(z) - 5*v(z).\nAnswer: -2*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275025 and 855.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14961599 and 1388?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29550 or -29546?\nAnswer: -29550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -0.5, -2, 12.2, 4\/13 in decreasing order.\nAnswer: 12.2, 4, 4\/13, -0.5, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2110*n**3 - 6*n**2 + 4*n - 3. Is k(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/25 or 3\/10?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzaazaa. Give prob of picking 4 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**2*q**2 + 2*l**2 + 12*l*q**3 + 17*l*q + q**3 + 3*q**2 + 20*q wrt q.\nAnswer: -6*l**2 + 72*l*q + 6*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56672.\nAnswer: 2, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h = 17*h - 400. Let w be (-62)\/((1 - 0) + 82\/h). Suppose -w = -0*l - 10*l. What is the highest common factor of 31 and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -199 + 759 + 276 + 562*r**2 wrt r?\nAnswer: 1124*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 42*n - 441. Let o be z(-23). Let m(d) = 1. Let l(r) = 6 + 0 + 3*r - 3*r - 2*r. Calculate o*m(a) - l(a).\nAnswer: 2*a - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from pppyyyppyy?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 45 = -4*a. Solve -13*k + 50 = -a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 44\/8 + 5\/2. Suppose w*i - 2*h + 3*h - 136 = 0, -4*i + 136 = -3*h. What is the remainder when 64 is divided by i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1459 and -0.4.\nAnswer: -583.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183047 is divided by 979?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -162676.79 rounded to the nearest one hundred?\nAnswer: -162700","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**3 + 159*n**2 - 24*n - 1811. What is q(-53)?\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 11482 = -650*g + 648*g, -5*g = 4*j - 15307. What are the prime factors of j?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.170006931 - 5768.\nAnswer: -5768.170006931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/630*(-1)\/(3\/54*-3)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -228*w + 119*w + 114*w. Determine h(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-25)\/4*(-16)\/(-40)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 5, 0, -1 in descending order.\nAnswer: 5, 0, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9 = 0, -5*n + 4*p + 161 = -96. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*m + 26*m = 78*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -17. Suppose a*s - 16500000 = 3*s. Round s to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 272137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from {e: 1, b: 2, i: 1, a: 1, y: 3, h: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1430610 is divided by 355?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40309718269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlx when three letters picked without replacement from {l: 1, z: 5, x: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**6\/120 + r**5\/15 - r**4\/6 + r**3\/2 - 9*r**2 - 4*r. Determine i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 0*t + 6 - 10 - 8*t. Let l be w(-4). What is the highest common factor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5735 in 85, -1, 1, -3, 1\/10?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6319 and 1513.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/1602 and 67\/20.\nAnswer: 16020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*-3*(-7)\/(-84).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + f = -7, -2*w + 0*w + 3*f = -18. Suppose -16 = -4*x + w*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/58 and 1 + 18\/(-10) + (-16541)\/(-3570).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 1\/6*t**3 + 5\/2*t**2 + 0 - t. Let j be (-6)\/(-2)*(-1 + 0). Determine q(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125 + 273. Let g = z - 397.46. What is the closest to 1 in 3, g, 5\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 21196*z + 487511. Let y be k(-23). Factor 14*o**2 + 3\/2*o**y + 0 + 9\/2*o.\nAnswer: o*(o + 9)*(3*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -20*u - 360. Let l(d) = -d - 10. Let s(z) = -2*i(z) + 72*l(z). Let x be -1 + 0 + 3\/3. Let q(r) = -3*r**2 + x*r**2 + 2*r**2. Determine s(q(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 986940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*x = -0*x - 11, -8 = 4*x. Is h at least as big as 3\/316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9212038733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -5\/23 (c) 1413\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 691? (a) 8\/3 (b) 3 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((775\/(-50))\/31)\/(3\/(-90))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 10. Suppose -p + 17 = 2*p - m*d, 5*p - d = 17. Suppose -3*n - 2*n = -2*j - 10, j + p = 2*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41090*q**3 - 8607*q**2 + 52*q**5 + 41090*q**3 + 11*q**6 wrt q.\nAnswer: 1320*q**3 + 3120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -472 * 104671.\nAnswer: -49404712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:58 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12871247 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/462)\/(14\/1470*-18)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -12 - 91) + -32 + 58\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 16 = 3*n. Let w(z) be the first derivative of -z**3\/3 - z**2\/2 - 10. Let s(m) = -6*m**2 - 5*m. Give n*w(v) - s(v).\nAnswer: 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2694)\/4*(-98)\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-11 - (5 - -2)) + 6 + -13) - -4?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 19. Let u be c(8). Suppose u*x = -8 + 14, -4*x = 2*j - 14. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -5*w + 13, -25*m + 21*m = w + 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h - 4. Let j = -1.08 + 0.08. Which is the closest to -1\/3? (a) j (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p - 12. Let g be b(-9). Let r = g + -13. Let h = r + -18. Put -2, h, -5 in increasing order.\nAnswer: -5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -721 = -2*t - 721 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 267*x - 472. What is the tens digit of z(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 11 = -2*j, 5*f + 65*j - 61*j = -17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 2*j**2 + 3*j - 4. Let w be o(2). Let r(d) be the third derivative of d**6\/120 - d**5\/20 + d**4\/8 - d**3\/6 - 2*d**2. Determine r(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h**2 - 2*h. Suppose 4*x + 5 = -3. Let d(a) = a**2 - a. Let m(c) = x*d(c) + w(c). Let b(f) = -2*f**2. Calculate b(m(z)).\nAnswer: -72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 22\/3*k**3 + 0*k**2 - 22 + 0*k. Let t(x) = -2*x. Calculate t(g(i)).\nAnswer: -44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.044 (b) -2.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9013870 to the nearest integer?\nAnswer: 3002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 21. Let v be (4 - 3) + (-3)\/(-1). Let p(y) = -y**3 + 3*y**2 - 2 - v*y**2 + 3. Determine p(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1621491*k. Let x(i) = 3*i**2. Calculate c(x(r)).\nAnswer: 4864473*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/5 + 1062*s\/5 + 281961\/5.\nAnswer: (s + 531)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -825597*s**2. Let n(t) = 297*t. Determine c(n(g)).\nAnswer: -72825085773*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 127*i - 4313. Calculate y(34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1568)*1.\nAnswer: 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 5*b**2 - 28*b + 19. Let u(p) = 2*p**3 + 6*p**2 - 28*p + 18. Let s(r) = -2*c(r) + 3*u(r). Let s(v) = 0. What is v?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 117635467 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + p**3 + 2*p**2 - 2*p**2 + p + (0*p**3 + 3*p**3 - 4*p**3)*(-8 + 5 + 13).\nAnswer: -9*p**3 + p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 8. Let w = 35 + i. Calculate the highest common factor of w and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/902987 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from hheehjhjvvhbjehvevje.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(2736))**2.\nAnswer: -5474 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 74071730?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9960344 is divided by 5602.\nAnswer: 5590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 - 3*z**2 + 3*z**2 + (z - 2*z - z)*(-8*z**2 - 31 + 31) - z**3 + 0*z**2 + 0*z**2 to q*z + b*z**3 + h*z**2 + k and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640184.\nAnswer: 2, 43, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 - 10000?\nAnswer: -101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + sqrt(175))**2 - sqrt(175) - (sqrt(252) + 0 - sqrt(21)\/sqrt(3)*-1).\nAnswer: 18*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -235\/2? (a) 5 (b) -5 (c) -47 (d) -125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 91.6 (b) 2\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)\/g)**(25\/4)*(g**(2\/5)*g)\/g*g**(-3\/7) assuming g is positive.\nAnswer: g**(-878\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -53?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1534390 + 1534390 - 6*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 352 and 5452612?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -0.11, -1\/6, -0.231, 102, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6506845*x - 2. Let a(d) = 23*d**2. What is k(a(t))?\nAnswer: -149657435*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60652, 60654, 60658, 60664, 60672?\nAnswer: 60682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152.85 - 152. Let x = z - 1.85. What is the nearest to 0.1 in -3\/11, 2, x?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -242*m**4\/9 - 16280*m**3\/3 - 229484*m**2\/9 + 14312*m\/3 - 1970\/9 = 0.\nAnswer: -197, -5, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2 + (-1 + sqrt(208) - sqrt(208)) - sqrt(208)) + sqrt(208))**2 + -3*(1 + -2*sqrt(13) - (sqrt(91) + sqrt(91)*-2)\/sqrt(7))**2.\nAnswer: -45 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1153 - 516?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5518555252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (2 + -2 - -24). Suppose -5*b - 5*p = -55, 0 = b - 0*b + 3*p - q. Solve 2*f - 1 = u - 0*f, -2*u + b = 4*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 455, 883, 1313, 1745, 2179?\n\"Answer: t**2 + 425*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -538, -346, -140, 80, 314, 562?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -166, -362, -634, -982?\nAnswer: -1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527177497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 5*n + 7, 12*n + 3*j = 22113 - 22122 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 2.8.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 (base 15) in base 6?\nAnswer: -5113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -3. Let z = b - 3. Suppose -z*c = 2*c - 100. Solve 4*k - c = -5*m, -m + 4*k + 12 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 3*p**2 + 1. Let a be z(3). Suppose 3*c = 4*n - 768, -n + 98 = c - 94. Let h be ((-240)\/n)\/(6\/8 - a). Solve -s = -0 + h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -11\/4, -2\/3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7227, -13368, -19501, -25620, -31719, -37792, -43833?\n\"Answer: h**3 - 2*h**2 - 6142*h - 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1205 + 1209. Which is the smallest value? (a) 5 (b) x (c) -2\/5 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -47481140, -47481147, -47481168, -47481209, -47481276, -47481375, -47481512?\n\"Answer: -i**3 - i**2 + 3*i - 47481141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8539561621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -450463.\nAnswer: -3\/450463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -22. Let l be 0\/(5\/15*-3). Suppose l = -3*p - 0*p - 12. What is the third smallest value in 0, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 58*p - 298. Let c be l(-20). Is 428\/7 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4765 in 0.03, -3, 4, 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2886*q + 0 + 2890*q + 2 - 2.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -29. Calculate the highest common factor of w and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.798 + -19152.\nAnswer: -19145.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -2 (b) -1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.9 - -18.9. Let q be -1 + 0 - 22\/(-26). Which is the nearest to i? (a) q (b) -0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -12. Suppose m = -h + 7. Let y(o) = 77*o - 8. Let s be y(h). What is s rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*r + 11. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/18)\/(6\/(-160)). Suppose 0 = 3*k - 4*x - 24, 5*k + 2*x = 4*x + c. Solve 0 = -r + 5*q - 21, r + k = -2*r + 4*q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (269*d**2 - 1540*d**2 - 172*d**2)*(2 + 4 - 18).\nAnswer: 17316*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 519 = -5*x, -3*g + 422 + 67 = 5*x. What is the first derivative of 323*y - g*y + 73 - 166*y wrt y?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1619*z - 1628*z + 3248*z - 3 + 3.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3667*y + 3664*y = 3*f - 105, 0 = 12*f - 4*y + 92 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 5*z**6\/6 + z**5 - 15*z**4\/4 - 25*z**3\/3 - 5*z**2 - 9. Find l such that h(l) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 220027\/2 = 110015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -818 - -38?\nAnswer: -7d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -8*s + 15. Suppose 3*h + a = s*a + 781, 25 = 5*a. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -0.1, 4, 3, 3\/449.\nAnswer: -1.1, -0.1, 3\/449, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**2 + k - 1. Let d be s(2). Let r be 0\/(-1) + 6\/d. Let x = 3.7 - 4. Which is greater: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*o - 6 = 10, 3*o + 4 = 5*l. Suppose 2*u = u. What is n in -l*n**4 - 10\/7*n**3 + u - 8\/7*n + 32\/7*n**2 = 0?\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 1\/3 (c) -9577\/2 (d) 5 (e) 2\/9 (f) -6 (g) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**3\/5 + 154482*w**2\/5 + 92685*w + 308946\/5 = 0.\nAnswer: -51491, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-6) - -2)*4. Suppose -5*n = 18*n + 46. Let m be 1 + (-1)\/(-6)*n. What is the nearest to -2 in a, m, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-225)\/(-108) + (-2)\/(-8))*42. Let n = t - -78. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396935450.\nAnswer: 2, 5, 337, 23557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - z. Let t(r) = -17*r**3 + 34*r**2 - 34*r. What is -34*f(k) + t(k)?\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 256 and -15*(1 + 2 + 189\/(-45)).\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 17*v**2. Let j(r) = 1434*r. Calculate j(i(o)).\nAnswer: 24378*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 7*n = -2*n. Solve n = 3*r + 3 - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61665255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*a**2*h**2 - 10*a**2*h*n + 11918*a**2*h - 5*a**2*n**2 + 830894*a*h**2*n**2 + n**2 wrt n?\nAnswer: -10*a**2 + 1661788*a*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*t - 3. Suppose 0 = -t*d - d - 164. Let g = 79\/2 + d. Which is the smallest value? (a) -0.5 (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/617119 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 2\/7 (c) -1\/5 (d) -4 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, 25, -5\/3, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/40 + (-2 - 13\/(-5)). Let l(d) = 45*d**3 - 2*d**2 + d. What is the remainder when l(f) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a hour in seconds?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 745, 895, 1045, 1195, 1345, 1495?\nAnswer: 1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52999 is divided by 4808?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/14*2\/3. Let s = -2.67 + 2.17. What is the closest to x in s, 1\/4, 4\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75481 * 3.\nAnswer: -226443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14390 - 14389. Let x(w) = 4*w**2 - 2*w - 8. Let b(g) = g**2 + 1. Give d*b(h) - x(h).\nAnswer: -3*h**2 + 2*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 divided by -4.\nAnswer: -153\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*w + 15. Suppose -5*g - 4*l = -0*g - 265, 172 = 3*g + w*l. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 73.979\nAnswer: -2.95916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/3 + -1 - 25. Let s = -12 - f. Suppose -7*n = -s*n + 112. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (3 + -11 - (-6 - (10 - 4)))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52288213597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003777656 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5 + -2*sqrt(7) - (sqrt(7) - (sqrt(847) + 0))))**2 + (sqrt(567) + -4 + sqrt(567)*-4)*-6.\nAnswer: 476 + 194*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33987, 34089, 34265, 34521, 34863, 35297, 35829, 36465?\n\"Answer: g**3 + 31*g**2 + 2*g + 33953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100978649?\nAnswer: 97, 643, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b + 2*q = -42, 37 = b - 5*q. Let a(p) = 9*p - 5. Calculate the remainder when a(6) is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 508 - 452. Let x = 6 - -1. Suppose 8*g - j = x*g. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15085173?\nAnswer: 3, 5028391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199801106?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2 + 320*m - 37904 = 0.\nAnswer: -412, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -13. Suppose -n*x = -9*x + 28. Suppose -x*l + 20*l = 234. What is the highest common divisor of l and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 7*n + 56. Suppose 7*y = 3*y + n. What is the remainder when 24 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**18\/j*j)\/j)**(-1\/4) assuming j is positive.\nAnswer: j**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 9*b**4\/16 + 17*b**3\/6 + 19*b**2\/8 - 3*b\/2 - 15. Solve v(y) = 0.\nAnswer: -3, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16867 (base 10) to base 3.\nAnswer: 212010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1)*333\/14652\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*p - 113*p - 83*p)*(-4*p + 5*p + 0*p)*(-6 + 1 + 3).\nAnswer: 354*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 7*t**2 + 10*t + 2. Suppose 5*n - 4 = -14. Let h = n + -6. Let c be j(h). What is c rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 277 in 2, 0.4, 2\/23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 30901066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = -2*t. Let v be 1 - -1 - t - -24. Let g = -4 + v. Solve -4*k + g = -5*m, -6 = k + 4*m + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (210\/(-140))\/((-4)\/(-24))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8753, -17500, -26247, -34994, -43741, -52488?\nAnswer: -61235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003537499 to 6 decimal places.\nAnswer: -0.003537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1286 + -1284. Solve 4*g = 3*c + 9, -12 = y*c + 3*g - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*k + 83*k + 86*k - 169 - 257*k - 1058.\nAnswer: -2*k - 1227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18626305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.93 + 23.93. Let t = -5 - -4.9. Which is the nearest to 17\/5? (a) g (b) t (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12245 + 12249. What is the biggest value in 4\/7, l, 5, 2\/3, -56?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 d when three letters picked without replacement from nrpdddrduqddundddn?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*j = 194*j. Let n(h) be the third derivative of 1\/20*h**5 + 0*h + 0*h**3 + j + 3\/8*h**4 - 6*h**2. What is the second derivative of n(p) wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**4\/3 + 790*u**3\/3 + 19041*u**2 + 348480*u + 622908 = 0.\nAnswer: -33, -2, 858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 5*w - 2*v + 31, 0 = v - 2. Let c = -53 - -61. Suppose 2*s + 216 = c*s. Calculate the highest common factor of s and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 9\/2*a**6 + 0*a**5 + 0*a**3 + 0*a**4 + 23\/2*a**2 + 30 + 0*a. Find the second derivative of x(h) wrt h.\nAnswer: 540*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**9\/30240 + n**8\/2520 - 31*n**5\/60 - 3*n**2 + 2. Let h(z) be the third derivative of o(z). Factor h(f).\nAnswer: -2*f**2*(f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3*(2 + 1). Suppose d - b*d + 1 = 0. Let m(q) = 33*q + 1. What is the units digit of m(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2148*r + 921497. Calculate o(429).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 2113130?\nAnswer: -2113103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u\/(u**4\/u)))\/u*((u\/u**15)\/u)\/u*u*u**(2\/35)*u*u**(-15\/7) assuming u is positive.\nAnswer: u**(-563\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 4:24 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24406 divided by 131?\nAnswer: -24406\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22037 (base 8) to base 10\nAnswer: 9247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209413, 418825, 628237, 837649, 1047061, 1256473?\nAnswer: 1465885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**6\/18 - w**4\/6 + w**2\/6 + 7. Suppose i(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134149 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-1\/15))\/k**(-3\/4))**(1\/46))**45)**(-7\/6) assuming k is positive.\nAnswer: k**(-763\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*k + 15, 3*w + 9 = 4*w - 3*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/128 and 13\/36?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 6*j - 8. Let m be b(-4). Let q = -4 + 37\/9. What is the nearest to 3 in -3, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2 - 8128*h - 16260. Determine z(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voob when four letters picked without replacement from boonnv?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-16) - 1271\/(-2). Suppose -3*k - k + r = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13041*b**4*g - 4530*b**2*g**2 - 2439370*g**2 + 10 wrt b?\nAnswer: 52164*b**3*g - 9060*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141022109 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4500) + -3*-1*sqrt(4500) + sqrt(4500) - sqrt(4500))\/((sqrt(9) - sqrt(99)\/sqrt(99)) + sqrt(9) - (sqrt(9) - (sqrt(1296)*1 + sqrt(1296)))).\nAnswer: 60*sqrt(5)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -2*h - 2*h. Suppose -3*q + 5*t = -23, t + t + h = 5*q. Suppose -3*k + 37 = -11. Calculate the remainder when k is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -27) + (-8 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.039 - 0.079. What is the nearest to 0.2 in 1, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 1.601\nAnswer: 0.4803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 + -0.066?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -11. Let r(m) be the second derivative of -1\/10*m**5 + 0*m**4 + 0*m**q - 1\/6*m**3 + 2*m + 0. Find the second derivative of r(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 5\/(-35)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -696300 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/53))**(27\/2)\/(u\/(u*u\/((u\/(u*u\/u**0*u)*u)\/u))*u\/u**(-5)))**(17\/2) assuming u is positive.\nAnswer: u**(-1581\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*f - 615, f - 399 - 241 = -5*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*a**4*s + 8387*a**4 - a**2*s + a*s - 2*a - 9*s + 79 wrt a?\nAnswer: 216*a*s + 201288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, 20, 60, 136, 260, 444, 700, 1040?\n\"Answer: 2*i**3 + 2*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*d - d**3 - 17*d**4 - 23*d + 6*d**4 in the form m + u*d + o*d**2 + k*d**4 + l*d**3 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455 + -1538 + 108 + 4?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2058))\/sqrt(6))**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306346 and 372898?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4*z + 30 = -12*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, c: 12, a: 3}. Give prob of picking 2 w and 2 a.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 323 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1374 and -5.\nAnswer: 6870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugguaaguauuuug. Give prob of picking 1 a, 2 g, and 1 u.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*r + 4*z + 45, -3*z - 12 = 0. Let o be ((-8)\/(-16))\/((-2)\/(-848)). Suppose -o = m - r*m. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 132*p**2 - 255*p + 126.\nAnswer: -3*(p - 42)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -25 (c) -5 (d) -0.04 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 0*x - 2 - 9\/2*x**2 + 1\/60*x**5 + 0*x**4 + 0*x**3. Let a(r) be the second derivative of t(r). Let n(d) = -d. Give a(n(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -11*o - 9. Suppose 72 = 13*r + 7. Let f(a) = -a**3 - a**2 + a + 1. Let l(q) = -6*q**3 - 5*q**2 + 8*q + 5. Calculate o*l(h) + r*f(h).\nAnswer: h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/64)\/o*o)\/o)\/o*o**(-3\/8))\/((o**(-5\/9)*o)\/o**10) assuming o is positive.\nAnswer: o**(4145\/576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2458*((7 - (-33)\/(-2)) + 8). Is i < 3687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 a factor of 64179675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/681906 and 97\/174?\nAnswer: 681906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106 and 22036.\nAnswer: 1167908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*m - 372 = 62*m. Let v = m - 92. Calculate the greatest common factor of 5 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3234 divided by -16?\nAnswer: 1617\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142026668 rounded to the nearest 10000?\nAnswer: 142030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {a: 1, e: 1, n: 1, r: 2, m: 1, p: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*35\/84.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-2\/5))**2)**16*(h**(1\/7)\/h**(-1\/5))\/((h**(-2\/7)\/h*h)\/(h*(h*h*h*h**(-2\/5)*h)\/h)) assuming h is positive.\nAnswer: h**(2836\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2772 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-735)\/60 - -1*2\/8. Let o be (-2 - 2) + 1416\/a. Let k = o - -230. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 366841172?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*t + 17 = -5, 5*d = -2*t + 26. What is the least common multiple of d and 113?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + p = -5*r - 807, -3*p + 2433 = 3*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.135 + 0.063. Let n = d - -0.146. What is n rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -b + 2*b. Suppose 0 = 5*g - 44 - b. Suppose g*l = 4*l + 165. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + (-8)\/12)*-444. Suppose -2*i + b = -3638. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 87.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530548.7 centuries to millennia.\nAnswer: 53054.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 4*m**2 + m + 9. Let j be b(-4). Suppose -4*t = g + 22, -4*g + 2*t = 4*t + 60. Put j, -1, g in increasing order.\nAnswer: g, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20589 or 20584?\nAnswer: 20589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j + j**2 + 2 - 4 - j. Let u be m(5). Solve v + 0*v + u = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 18304.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 220146, 440325, 660504?\n\"Answer: 220179*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 30\/9)\/(0 - -1). Sort z, -4, -3, -3\/4 in decreasing order.\nAnswer: z, -3\/4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + p + 2*p + 27, -95 = -5*o - 5*p. Suppose -3*m + m + 3*t = -31, 3*m - o = -4*t. Suppose c = m - 0. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 15 = -20. Let o be (3\/k)\/(48\/64). Calculate the highest common divisor of 52 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + (1 - 0 - (-445 - -453))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 273211, 546412, 819611, 1092808, 1366003, 1639196, 1912387?\n\"Answer: -v**2 + 273204*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1440002 + 150?\nAnswer: 1440152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 692*d - 6796*d.\nAnswer: -6107*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 2\/11, -2\/7, -1 in descending order.\nAnswer: 2\/11, -2\/7, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 - 2*p**2 - p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 338672403820 and -382.\nAnswer: 338672403438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.1 (b) 7 (c) 1\/2 (d) -19 (e) 495 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q. Let x = 1744 + -1747. Let i be (2\/2)\/((-2)\/(-8)). Let o(z) = 5*z. Give i*o(k) + x*s(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 21*p = -6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k - 20 = 0. Solve -g + k*g = -12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 18*l**2 + 14*l - 35. What is the hundreds digit of n(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 70088*b**2. Let d(q) = -6*q. Give d(a(k)).\nAnswer: -420528*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 156934 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122 + 608\/5. Let b = -777.2 + 777.4. Let n = 4.06 - 0.06. What is the third smallest value in n, x, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50595*p = -51152*p + 8912 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -84 + 131 + 83 - 21*n + n**2 + 32 + 20. Is z(22) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1209, -2797, -5441, -9141, -13897, -19709?\nAnswer: -26577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = f + 4, 1608*b = 1609*b + 2*f + 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 29*d + 18. Let z(g) = -10*g - 6. Let k(a) = -6*x(a) - 17*z(a). What is the lowest common multiple of (1 - 3\/2)*-44 and k(-4)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 10:33 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t. Let q(b) = 3. Let k(h) = o(h) - q(h). Let y be k(-5). Solve 7*r - y*r = -5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 88, 153, 216, 277, 336, 393?\n\"Answer: -d**2 + 68*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 3*q - 2*q)*(5 - 4 - 2 + 0).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1374, 2934, 4494, 6054, 7614?\n\"Answer: 1560*k - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.69 + -5.69. Sort -0.7, 4, y, -4 in ascending order.\nAnswer: y, -4, -0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39788507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 18494444.7?\nAnswer: -18494447.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.7810413 to 3 dps.\nAnswer: 19.781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*o = -5*g + 73*o + 72*o + 175, -g - g = 16*o + 578 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 946683600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1234619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13153 + -64935\nAnswer: -51782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*y = -174*y + 16. Let r(f) = -2*f**3 + 2*f**2 + 20*f - 23. Does 51 divide r(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*a - 3*z, -4*z - 6 = 2. Suppose -8 = a*g - 7*g. Let v be (-3)\/(-9)*(-3 - -1). What is the closest to -2 in g, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/4 + 2\/4. Suppose -u*v = 4, -2*h - 2 = 2*v - 0. Let m be 3*96\/9 + h. Calculate the highest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 894*i**3 + 79929*i**2 - 53586360*i + 3592803600.\nAnswer: (i - 108)**2*(i + 555)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -173.\nAnswer: -4\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508110635 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 13 - j**2 + 5.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7824881 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212 + 219. Let a be 3 - -1*(-4 + 9\/x). Put -0.3, -2, 4\/9, a in ascending order.\nAnswer: -2, -0.3, a, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 956, 1472, 1998, 2552, 3152?\n\"Answer: 3*t**3 - 13*t**2 + 534*t + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 87*j - 22. What is the hundreds digit of v(31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -94*v - 457. Give y(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3182, -3199, -3224, -3257, -3298?\n\"Answer: -4*u**2 - 5*u - 3173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 1. Let z(l) = l**3 + 3*l - 4. Let f be (-6)\/(-4) - (-3)\/(-6). Let v(r) = f*z(r) - 2*u(r). What are the prime factors of v(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 589 - 587.705. Round g to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -604.5 - -556.5. Which is the third smallest value? (a) l (b) -0.2 (c) 4 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2 - 2. Suppose 606*g - 609*g - 79 = -4*z, z = -4*g + 34. Calculate the remainder when 7\/(m*(-2)\/(-30)) is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 13*o**2 - 16*o + 26. Let s be b(14). Sort s, -3, 5.\nAnswer: -3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = z + 135, 2*z = 2*a + 6*z + 280. Let g be (a - -5)*(-292 + -4). Round g to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zaez when four letters picked without replacement from zzdzmdadmddzezamdd?\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/9)*(m**(3\/8)*m)\/m)\/(m**(1\/5)\/(m**(-1\/3)\/m)))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4006515 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4924 a factor of 104217951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u + 13 + 75. Calculate the highest common divisor of 88 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46686 or 43955?\nAnswer: 43955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 903\/724 + 19\/(-76). Let t = y - 715\/3258. Let l be (-2)\/((-8)\/9) - 2. Which is the nearest to 1? (a) t (b) 1\/6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1546, 1566, 1606, 1672, 1770, 1906?\n\"Answer: g**3 + 4*g**2 + g + 1540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**2 - 1003. Let m(i) = -179*i + 6. Determine n(m(s)).\nAnswer: 358*s - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 - 62. Solve 3*d = -0*d - r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from vvvnvvvnvvvvvvnvvv.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3850 + 3852. Let q(h) = 5*h - 17. Let b be q(4). Factor p*n**2 + 4\/3*n**b + 4\/3*n + 1\/3 + 1\/3*n**4.\nAnswer: (n + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 552 - 553. Let b be 2\/11 - (-91)\/(-77). List the prime factors of -237*(u + 2)*b.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0215 and -111544.\nAnswer: -111544.0215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6624)\/306 - -14 - -8?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*p + 3\/2*p**5 + 0*p**2 - 27\/2*p**4 + 30*p**3 = 0. What is p?\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19174346?\nAnswer: 2, 9587173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*y - 29, -4*a = 2*y - 3*y - 99. Suppose -v - a = -28. Suppose 2*i + 13 = 3*p, 4 + 4 = v*i + p. Is i equal to 1\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145940657?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*x, 6*l - x = 4*l - 3. Suppose 12 = -6*n + 84. Solve l = -5*q - 2*v - 13, 4*v + n = v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 3 = -4*q. What is the second smallest value in -2\/3, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/8 + 1956\/(-19680) and 73\/6.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a factor of 82150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 142 + -99. Let r = y + -3. Suppose -2*f - c = -105, 2*f - 68 - r = 2*c. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 714 and 7650?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/((-680)\/(-84))*5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612754113.\nAnswer: 3, 3467, 58913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*3 - (-4 - -5). Suppose u = g*u + i - 12, -4*u + 50 = 5*i. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 176652, 353310, 529970, 706632, 883296?\n\"Answer: v**2 + 176655*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 238 + -292. Let n be (d\/50)\/9*2\/3. What is the fourth smallest value in 4, 2, -0.5, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 2*x + 3. Let a be v(0). Solve 0 = 5*o - 3*p, a*o + p = -2*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 + 10*j**2 + 6*j + 14. Calculate r(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y - 1. Let t(u) be the third derivative of -1\/4*u**4 + 0 + 135*u**2 - 1\/6*u**3 + 0*u. What is -5*h(s) + 3*t(s)?\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:52 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 145959 + -2?\nAnswer: 145957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3443204 (base 8) in base 6?\nAnswer: -32015140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 13) to base 5\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 74*x. Let t(a) be the first derivative of a**3 - 178*a - 265. Let p(n) be the first derivative of t(n). Calculate p(r(m)).\nAnswer: 444*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*z + 67*z - 367*z.\nAnswer: -197*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c + 1587 = 4*x, -c + 540 = 5*x. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1264?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5 + 64176*k**4 + 457596270*k**3 + 1087401226824*k**2 - 1087858887273*k.\nAnswer: 3*k*(k - 1)*(k + 7131)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11360?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 5*p**2 - p + 4. Let t(s) = 4*s**2 + 1. Let r be t(-1). Let h be o(r). Let i be 18\/10 + h\/(-5). Let q(b) = -2*b + 1. Calculate q(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 17, f: 2}. What is prob of sequence cf?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10929 by 3.\nAnswer: -3643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 5*i + 1. Let f(z) = -10 - 4*z**2 + z**2 - 5*z + 0*z**2 + 17 - 8. What is 4*f(x) + 5*l(x)?\nAnswer: -2*x**2 + 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*m - 6481 + 37281 = 0. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2 + 244431*o - 25920922 = 0. What is o?\nAnswer: -244537, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2211 + -194. Is a a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + -4 - ((14 + -27 - -28) + -49).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + i**3 + 0)*(3*i**2 + 2*i**2 + 2*i**2)*(-2 + 2 + 11).\nAnswer: 77*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = f - 5, -34*x = -3*f - 38*x + 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33\/5 of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4052*b - 1080 = 4092*b for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 100?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 13*n**7\/840 - n**6\/24 + 11*n**3\/3 + 2. Let m(i) be the third derivative of j(i). Find the third derivative of m(g) wrt g.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (627 - 11\/((-11)\/(-2))) + -1. Let m = f + -516. What is the least common multiple of m and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3\/9 - 20*s**2 - 1288*s\/3 + 8464\/9 = 0.\nAnswer: -46, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 3*g**2 - 5*g + 3. Suppose -8 = 3*b + 7, 3*z + 3*b = 0. Let p = 1 - z. List the prime factors of q(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 31*z**2 + 6*z + 4. Let j(h) = -32*h**2 - 5*h - 3. Give 3*b(m) + 4*j(m).\nAnswer: -35*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4.5, 0, -59.0369, 5\/3?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-152)*3\/((-9)\/(-12)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/5 and -17\/1432372.\nAnswer: 7161860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - (-90 - -83).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20 and 366026.\nAnswer: 366046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 131*h - 28. Let u(m) = -67*m + 16. Let c(r) = -4*n(r) - 7*u(r). Let k(x) = 6*x. Determine c(k(d)).\nAnswer: -330*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 10*z**2 - 7*z**2 + 2 - z as k*z**2 + w + f*z and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97\/2 of a litre in millilitres?\nAnswer: 48500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2260 divided by -10.\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u - 40 = -3507 - 85. What is the lowest common multiple of u and 407?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9 = -i + 2*h, -4*h = 2*i - 24. Let f(d) = 2*d**2 - 11*d - 11. Let u be 13\/(2*(-1)\/(-2)). Let m(g) = -g**2 + 5*g + 5. What is i*f(x) + u*m(x)?\nAnswer: -x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t + 3*t**2 - 3*t + (4*t - 2*t + 0*t)*(6 - 6 - t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 76d - 9e8a?\nAnswer: -971d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 0*c**6 - 9*c + 0*c**5 + 0 + 1\/14*c**7 + 0*c**4 + 0*c**2 + 2\/3*c**3. Find the second derivative of f(n) wrt n.\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = g - 4*d, -4*g - 28292 = -4*d - 28192 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + b + 9. Let j be d(3). Factor -19*a + 18*a**2 + 10 - a**3 + 14 - 2*a**j - 10*a - 7*a.\nAnswer: -3*(a - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 985\/2 - 10929\/22. Find the common denominator of -41\/18 and g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**3\/5 + 996*j**2\/5 - 1691988*j\/5 - 24744068 = 0.\nAnswer: -755, -71, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 242223.1863 rounded to the nearest 10?\nAnswer: 242220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g - 5 - 1\/2*g**2. Let d(w) = -3*w - 6. Let k(a) = a + 1. Let z(q) = d(q) + 5*k(q). Calculate b(r) + z(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h - 10. Let w be m(3). Suppose 2*d = -4*f - 212, 0 = 2*d + w*f + 214 + 3. What is the remainder when d\/(-20)*((-4)\/(-3) - -2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-51)\/((-31823)\/3179 - -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 divided by 3?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7)*m)**(-2\/49)*m*m**(-4\/5)*m*m*m**8 assuming m is positive.\nAnswer: m**(17443\/1715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -16. Let f = -230930\/1501383 + -4\/115491. Which is the closest to 0.3? (a) f (b) y (c) 1\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krrkrkr. What is prob of sequence rk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6050144168 to the power of 1\/2, to the nearest integer?\nAnswer: 77783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/1)\/(2\/12). Suppose 10 + 13 = 4*s - 3*d, -4*d - r = -5*s. Let q be 7 + (-50 - -36 - 3\/(-1)). Which is the nearest to -1\/4? (a) 3 (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = u + 4*z, -2 + 53 = u - z. Suppose u = 5*m - 57. Suppose 79 = k + m. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)\/r**(1\/5))**(-1)*r*r**6*r**2\/r*(r**(-2))**(-35) assuming r is positive.\nAnswer: r**(411\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12350*a + 12340*a + 12348*a - 37039*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_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: Find the second derivative of -263*p**5 - 222*p - 574*p - 31*p - 271*p + 56*p wrt p.\nAnswer: -5260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/(-33) + 1 + 20032\/176. What is the highest common divisor of m and 1938?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*n - 73 - 219 - 212 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + sqrt(425)*1 + -3))**2.\nAnswer: -60*sqrt(17) + 461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14530.6 - 14531. Which is the third biggest value? (a) -1\/53 (b) f (c) 3 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -387, -906, -1601, -2466, -3495, -4682, -6021?\nAnswer: -7506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -15*n**2 + 76*n. Let o be a(5). Suppose -777 = -3*g + o*m, 0*g - 5*g + 1255 = 5*m. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 - 10. Let q = 46.23 - f. Let x = q + 0.07. Which is the closest to 2\/5? (a) x (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 5 (c) -4\/7 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqcqccccqcc. What is prob of sequence cqcq?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 202 or 201?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/27 and -13\/12423.\nAnswer: 111807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -24) + (-7)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, 1, 1480, 0.4 in increasing order.\nAnswer: -11, 0.4, 1, 5, 1480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 0 + 2 + 23 + -1459 + 1474.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14162, 14158, 14154, 14150?\nAnswer: 14146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2045 + -1987. What is the remainder when 574 is divided by d?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, h: 1, q: 3, r: 7, n: 4}. What is prob of picking 1 h and 2 r?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(4*d - d - 5*d) - 1099 - 1097 + 2196 + 556*d.\nAnswer: 552*d","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.1426231462 rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 11 = 2*z. Suppose -130 = -2*q + 2*i, -2 = 4*i - 3*i. Calculate the highest common factor of z and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) -0.3 (b) 635 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/15 + 2*b**2\/15 - 4*b\/15.\nAnswer: 2*b*(b - 1)*(b + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-40513874809.7\nAnswer: -40513874810.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**3 + 6*d**2 - 5*d + 4. Calculate u(2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 233016 and 257544.\nAnswer: 4893336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x - 8. Let h be (x - 22\/14)*7. Suppose 4*y - 2*s - 88 = 0, 4*y = 2*y + h*s + 48. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 + 0)*(-4*g - 3 + 3)*(3 - 3 - 2*g**2) to s*g + t*g**3 + u*g**2 + j and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 12*x - 3. Let n be t(3). Suppose 3*z + 8 = a, 0 = -5*a - 2*z - n + 5. Round a to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -137 (b) -18 (c) 4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 249829 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**4 + 0*q + 57*q**2 + 2 + 59*q**2 - 2*q - q**2 - 4*q**4 as v*q**2 + b*q**3 + a*q**4 + f*q + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8622687, 8622685, 8622681, 8622675, 8622667?\n\"Answer: -u**2 + u + 8622687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*k*l**3 - 29*k*l - 2593*l**3 - l wrt k?\nAnswer: 26*l**3 - 29*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 81*s + 813. Does 30 divide b(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 - 5*i**2 - 3*i**3)*(-2 - 2*i + 2) - 49*i**4 + 428*i**4 + 795*i**4.\nAnswer: 1180*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 2\/(-2) - -2*6\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-2\/27)*i*i)\/i*i*i**(-7)*i*((i\/i**6)\/i)\/i**1)**(-12))**(2\/19) assuming i is positive.\nAnswer: i**(2176\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 42\/(4 - (0 - -2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 52. Let x(g) = 947*g**2 + 6. Let j be x(p). Suppose 5*k = j - 279. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*p**2\/2 + 22069*p + 4904 = 0. Calculate p.\nAnswer: -4904, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 4, 3, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -86879, -86946, -87121, -87458, -88011, -88834, -89981, -91506?\n\"Answer: -9*r**3 - 4*r - 86866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 36, 160, 406, 816, 1432?\nAnswer: 2296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/2256221 and 29\/820444.\nAnswer: 9024884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193634?\nAnswer: 2, 7, 13831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 12, j + 4*g = 27 - 4. Suppose 285 = j*c - 1. What is the greatest common factor of c and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2668784 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.937 less than -0.3?\nAnswer: -85.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18802, 37626, 56450, 75274, 94098, 112922?\n\"Answer: 18824*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfxxxxxxxxxpxxxpp. What is prob of sequence pxx?\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2248, -2250, -2252, -2254?\n\"Answer: -2*g - 2246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-19 - (0 + 1)). Suppose -32 - h = -u. Suppose 5*w - u = 75. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-8 + (9 - 9))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 113, 217, 393, 659, 1033, 1533, 2177?\nAnswer: 2983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 17698204305*o + 17698204305*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + -3 - -4 - -20. Suppose 2*l - 3*d = 2*d - 41, -2*l - d - 11 = 0. Let q = n + l. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 2524579.\nAnswer: -1\/2524579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 27 (c) 0 (d) 192\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -89, -135?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 927370831 divided by 3.\nAnswer: 927370831\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 2:29 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(104)\/(sqrt(128) - sqrt(8)) + (sqrt(117) - (sqrt(117)*-2 + sqrt(117))*5)\/sqrt(9).\nAnswer: 19*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*g - 15 = -6*g, -g + 5 = -2*n. Suppose 0 = -a, -r + n*r - 5*a = -3. Suppose -r*v + 2*h + 3611 = 0, -6*v + 7*v + 2*h = 1209. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 703815.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5911, 5910, 5909, 5908, 5907?\nAnswer: 5906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + o = -42, 1013*k + 0*o - 9*o = 1000*k + 88 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 5*m = -1 + 22, -3 = 3*c + m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -241 by -5.\nAnswer: 241\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5006 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 756 divided by -63\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -76*u - 2667. Give s(-35).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 339231164 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -31. Suppose -148*u - 68 + 808 = 0. Solve 18*x = i*x + u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1652 - 974. What are the prime factors of y?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6031, 5773, 5515, 5257, 4999?\n\"Answer: -258*y + 6289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2474.828 * 1.1.\nAnswer: 2722.3108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 3\/4, 5, 3, -2131?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*sqrt(84)*2 + -1*sqrt(84)*2)\/(-4*sqrt(972)*3))**2*-5.\nAnswer: -875\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-120)\/18 - -6)\/((-2)\/27). What is the greatest common factor of j and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 20*o + 9. Let p be u(-20). What is the smallest common multiple of 10 and (-1184)\/(-144) - 2\/p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d + 6763 = 455*d - 693 - 733 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43759944 to the power of 1\/2, to the nearest integer?\nAnswer: 6615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76063 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-6*(-2 + 2*sqrt(200) - (sqrt(200) + -2 + sqrt(200) + -3)) + 5)*-1)**2.\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqjmmjm. Give prob of sequence mqq.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 6:50 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-5320)\/(-7))*(-98)\/(-49).\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*g + 549*g**2 + 26*g + 39*g - 77*g - 3 to the form d + s*g + v*g**2 and give v.\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1829586945 to the nearest 100000.\nAnswer: 1829600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 - 5*w**2 + w**2 + 5*w**2 - 7 as o*w**2 + k*w + h and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f - 40*f = -6. Suppose -f*g + 370 = 4*k, -477 = -2*g - k - 119. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -y + c - 2, 4*c = -3*y + 3. Let l(g) = -17 + 15 + 36*g - g**2 - 39*g. Let j(k) = -k**3 + k**2 + 4*k + 3. Calculate y*l(o) - 2*j(o).\nAnswer: 2*o**3 + o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*w + 1046 = f, 2*f - 513 = w. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393\/43 <= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2 - 10*h + 3. Let d be c(-8). Let b = d - 5089\/15. Let l be 3 + -1 - -9*(-3)\/12. Which is bigger: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*r + 470*r = 399*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.153\nAnswer: 0.0306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**2 - 11738793*h - 46955124 = 0.\nAnswer: -3912927, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15116420 - -0.137211\nAnswer: -15116419.862789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2809042?\nAnswer: 2, 67, 20963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.4226905 kilometers?\nAnswer: 422690500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -14*u**2 - u + 1362. What is the units digit of d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -9 - 5. Suppose -r*w = 5*w - 1044. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4847 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: 955*-0.968\nAnswer: -924.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -365+0.4\nAnswer: -364.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 353 + 2?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + u + 180. Let i be 30\/(-4)*(8\/(-160) + (-785)\/300). What is the greatest common divisor of u and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3479 - 973 = 0. Suppose -6*t + 306 + g = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by -192110?\nAnswer: 39\/96055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -11711450 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9586 and 58?\nAnswer: 277994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, x: 2, l: 1, k: 1, w: 3}. What is prob of sequence lxk?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 32*r + 499. Let z(q) = -6*q. Give z(a(h)).\nAnswer: -192*h - 2994","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330825 a multiple of 1497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 greater than or equal to 1.629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from udfhr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2299 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8167173 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 41\/2. Suppose -3*o = -6, -140 = 3*x + 2*o - 6. Let d = -46 - x. Which is smaller: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**5 + 61*x**4 + 816*x**3 - 3024*x**2 = 0.\nAnswer: -36, -28, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/5 - f**3 - 3*f**2\/5 + f + 4\/5.\nAnswer: -(f - 1)*(f + 1)**2*(f + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2135.9 - -1953.9. Put 0, w, 5, -1\/6, 4 in ascending order.\nAnswer: w, -1\/6, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.008 * 413\nAnswer: -3.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/3 + 1\/3. Suppose i*s - 19 - 17 = 2*c, -3*c = 4*s + 54. Let n be 5\/c - 2\/(-4). Do n and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 7070404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8218247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/1567548 and 19\/1306290.\nAnswer: 7837740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/6)\/(2\/18). Suppose 12 = 3*u, 2*o + 0*u - 156 = f*u. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -4\/668001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h - 7. Let y be v(3). Let g(p) = -p**2 - 3*p**2 - y*p**2 + 1 + 5*p**2. Let q(c) = 4*c**2 + 1. Give 2*g(l) + q(l).\nAnswer: 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5 - 193674*r**4 + 24435072*r**3 - 1001119722*r**2 + 12199988595*r + 46285477092 = 0. Calculate r.\nAnswer: -64684, -3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 804\/7*r**2 - 116*r**3 + 48\/7 + 4880\/7*r = 0.\nAnswer: -2, -2\/203, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**5\/4 - 67541*q**4 - 18252549161*q**3\/4 - 364883093573*q**2\/2 - 1628016075735*q + 4022304517602 = 0.\nAnswer: -135062, -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 24*o**2 + 20*o**2 - 16*o**4 + 17*o**4.\nAnswer: o**2*(o - 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + (-11)\/(11\/(-7950002)). Suppose -5*k - 53*c = -52*c - w, 3*k + 3*c - 4769988 = 0. Round k to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7570 and 306070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((5*(sqrt(2299) + 2 + sqrt(2299) + sqrt(2299)) + (-2 + sqrt(2299)*-2 - sqrt(2299)))**2 + -2 + -5)*5.\nAnswer: 10560*sqrt(19) + 1655569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7527*h**3 + 15065*h**3 - 7534*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0*g + 0*g**3 - 8*g**2 + 0 - 1\/40*g**6 - 1\/6*g**4 - 1\/5*g**5 + 1\/42*g**7. Factor m(q).\nAnswer: q*(q - 2)*(q + 1)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 382 - -441. What are the prime factors of a?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11111 - -14?\nAnswer: -11053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 11:03 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in -1\/7, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3972 + 3971. Which is the smallest value? (a) n (b) -1\/62 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, t: 1, w: 9, c: 6}. What is prob of sequence clcc?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4179 divide 1606850726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/7 - 3333*l\/7 - 87804\/7.\nAnswer: -3*(l + 27)*(l + 1084)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*n + 298*n + 5*q = 50 + 18, 0 = 5*q for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - m = 9 - 29, 0 = 3*x - 2*m - 26 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94 * -4.\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1633.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r\/r**(-1\/6))))**45\/(r**(2\/7))**(-7\/3) assuming r is positive.\nAnswer: r**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4144 = 2*j + 2*j, -j = 5*s - 1006. List the prime factors of j.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 13 = -25, -1688 = -4*v + y. Suppose -2*d + 573 + v = 3*q, 318 = q + 4*d. Is q a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/9)\/(2\/(-66) - 0). Let r(k) = k**2 - 4*k - 1. Let m be r(8). Let n = m - g. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 1999*g**3\/2 + 2478*g**2 + 6789*g. What is the first derivative of l(x) wrt x?\nAnswer: 5997","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**5 - 4*m**5 - m**5 + (-2*m**2 + 0*m**2 + m**2)*(-8*m**3 - 67*m**3 - 29*m**3).\nAnswer: 102*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -99*b**3 - 936*b**2 - 2067*b - 87. What is a(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 8*c - 1\/3*c**4 - 4\/3*c**3 + 0 + 0*c**2. Factor o(u).\nAnswer: -4*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -659.6977 and -2.7.\nAnswer: -662.3977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15013593?\nAnswer: 3, 7, 26479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*d**2 - 64*d**2 + 6 - 6 as f*d + i + p*d**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*-1*(-3)\/(-24). Let p = -15.3 + -2.7. Let h = p - -17. What is the nearest to h in -1\/3, n, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-5\/2)*m)\/m)\/m)**(-4\/7)*(m**(-28)\/m)\/((m\/m**(-1))\/m) assuming m is positive.\nAnswer: m**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0751407 rounded to four dps?\nAnswer: 0.0751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 5:52 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 3:17 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.06602nm in meters?\nAnswer: 0.00000002906602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 713?\nAnswer: 2852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*u + 5, -3*g = 3*u + 2*g - 11. Let x(p) = -3*p - 4. Give x(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - ((25 - 35) + 11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d9dd7 (base 14) in base 12?\nAnswer: 434161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 3884?\nAnswer: 3883.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from qrqaqaaxaqmqmraqmr.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22164571278 + 0.678.\nAnswer: 22164571278.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -6. Let z(p) = -2 - 25584*p + p**2 + 25587*p + 2*p**2 - 2. Let h be z(c). Calculate the greatest common divisor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 4299789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o + 5*o)*(1 - 4 + 4) + o - 14*o + 17*o - 9.\nAnswer: 12*o - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412 - 1220 + 134*z**2 + 407 + 397 + 6*z**2.\nAnswer: 140*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121 - 69. Let u = -51.9 + s. What is the smallest value in u, 4\/3, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/12)\/(1\/6) - 3. Which is greater: -3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117478920 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 508464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 5*p + 18. Let b(z) = z + 11. Let o be b(-4). Let j be g(o). What is the greatest common divisor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 7:11 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 566264727 and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 10836?\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3062.\nAnswer: 2, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) 1.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*w + 2\/7*w**3 + 2\/7 - 2\/7*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + j - 3. Suppose 0 = 4*d + 4*h - 7*h - 3, 3*h = 3*d - 6. Let k be s(d). Is 1 + 13 + k\/1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 5*p + 6. Let h be s(3). Suppose -h*l - 184 = -5*y, -106 = -3*y + 2*l + 2*l. Does 38 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**6\/120 + d**5\/20 - 52*d**4\/3 + 67*d**2. Find the second derivative of z(p) wrt p.\nAnswer: -6*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3059\/1062 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 1601435?\nAnswer: 1601437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgabbqx. What is prob of sequence xbq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-18))**(2\/111)*(v*v**23*v*v)\/v*(((v\/(v*v\/(v*v**(-7)*v))*v)\/v)\/v)\/v*v)**27 assuming v is positive.\nAnswer: v**(17658\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -336591\/4125032 - -234\/2213. Calculate the common denominator of n and -73\/10.\nAnswer: 9320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + 0 - (1 - -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 4:56 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 + (87 - 48 - -49).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19497, -23402, -27311, -31224?\n\"Answer: -2*c**2 - 3899*c - 15596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 487082 and 4302?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1405 and 5719870.\nAnswer: 5721275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 3*z - 161, -6*y = -9*y + 5957*z - 5962*z + 87 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -508 + 2766?\nAnswer: 225b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66516 and 3372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*x - 8, -5*l - 2*x = -212. Calculate the remainder when l\/3 + 3\/9 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.965 + 0.035. Let j = -18 + n. Which is the second biggest value? (a) j (b) -3\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 447399375 by 5.\nAnswer: 89479875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 27*d = 63. Let t = d - 16. Let b(v) = v**2 - 2*v + 6. What is the tens digit of b(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -92*p**3 - 3*p**2 - 6*p + 89. Let k(u) = 21805*u**3 + 712*u**2 + 1424*u - 21093. Let b(s) = -3*k(s) - 712*y(s). Differentiate b(w) wrt w.\nAnswer: 267*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/4)*(k*k*k**3*k)\/k)\/(k*(k**0*k)\/k)**(-1\/2)*(k*k*k**4)\/(k\/(k\/k**(3\/5)))*k**(-4)\/(k*k**(-1)*k*k) assuming k is positive.\nAnswer: k**(113\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*j - 1115, -4*j - j = -z - 1140. Suppose -2*g = -g - 3*w - j, -5*g + w = -1163. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/35 - 3\/(-5). Let t be (-8 + 4 - -20) + p. Solve -45 = z - 5*l - t, -31 = 2*z - 5*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164412255 is divided by 466.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -168 + 168. Suppose f = 13*r - 0*r - 377. Suppose -40 = -5*y + y. Calculate the remainder when r is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*o - 198*o = -168*o - 55. Let h = 52 - 570\/11. Which is the nearest to o? (a) -29 (b) -1\/6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 + 22*d + 9. Let o be p(-9). Suppose -3*m + o = 6*m. Calculate the lowest common multiple of (-72)\/20*(-10)\/4 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143) + sqrt(143) + sqrt(143) + (sqrt(143) - -3*(sqrt(143) - -2*sqrt(143))))\/(sqrt(88)\/sqrt(2) + sqrt(44))*-3)**2.\nAnswer: 5733\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(4\/34*-1) - 4. Let v(o) = 4*o - 38. Let f be v(t). What is the greatest common divisor of 154 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1015.4602 + 11230\nAnswer: 10214.5398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/56*6*70\/(-63)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 10*(8 + (-215)\/25). Solve -4*c + 7*c = -5*o + 15, z = 2*o - 2*c - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -79*h + 2. Let x be g(-2). Let y = x - 484\/3. Suppose -4*o + k = -2*k + 2, o = -4*k - 10. Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 107*v + 316. Give l(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = p - 912 - 2290, -648 = -b - 4*p. Calculate the highest common factor of b and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -542, -540, -538, -536, -534?\n\"Answer: 2*a - 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 245.447 kilometers in millimeters?\nAnswer: 245447000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 78.49584 litres?\nAnswer: 78495.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/3)\/(v*v\/v**(-6\/7)))\/(((v**24\/v*v)\/v*v)\/v*v**4\/v) assuming v is positive.\nAnswer: v**(-641\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0044974574 to six dps.\nAnswer: -0.004497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/8, -0.04, 0.02, 1, -1\/2, -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 401 + -191391900\nAnswer: -191391499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 17238722 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**4 - 490*o**3 - 12480*o**2 - 23040*o = 0.\nAnswer: -48, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhb when three letters picked without replacement from {d: 6, a: 1, h: 3, z: 2, b: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.478074 to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9)*-3*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u + 21*u = -50. Let z be ((-51)\/(-9) - u) + (-52)\/(-3). Suppose -z*i - 156 = -22*i. Calculate the remainder when i is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/6, 7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 487821431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 517 and 5665.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omkm when four letters picked without replacement from {o: 3, k: 5, m: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 1677\/25 + (-2)\/(24 - (11 + -12)).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 584166760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5\/3 + 7*k**4\/3 + 118*k**3 + 338*k**2\/3 - 353*k\/3 - 115 = 0.\nAnswer: -15, -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -17.8. What is the smallest value in 4, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15531 is divided by 52.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 11169 = 2413. List the prime factors of t.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12+15281\nAnswer: 15293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u + 3*b - 22, -4*u + 17 = 3*b. Calculate the remainder when ((-1)\/(-3))\/(u\/645) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 - 390*p**2 + 395*p + 588. Give i(-196).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/33, -4\/7, -5 in ascending order.\nAnswer: -5, -4\/7, -2\/33, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 + f**3 + 6*f**3 - 2*f**2 + 2*f**2 + f**3 + (3 + f**2 - 3)*(2*f + f - 2*f) + f**3 - 2*f**3 + 0*f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 512506.3 hours in microseconds?\nAnswer: 1845022680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v - 31. Let t be f(12). Suppose 52*j + 4 = t*j. Solve j*n = -m - 19, -3*m - m = 5*n + 21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -227537, -227534, -227531, -227528, -227525, -227522?\nAnswer: -227519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3707\/24 - -1233\/8. Put -2\/9, s, -137 in ascending order.\nAnswer: -137, s, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -542 + 541. Let l(z) = 2*z - 6. Let v be l(6). Suppose -2*w = 5*b - w - 15, -2*b - 2*w = -v. What is the nearest to i in b, 0.1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 - 43*f**2 - 46*f - 3970. Determine x(-24).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 1. Let b(y) = -y**3 + 2*y - 1. Let w be b(-2). Let u(z) = 4*z - 10. Let p(o) = w*c(o) + u(o). Determine p(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41616544?\nAnswer: 2, 17, 113, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5556+-5845\nAnswer: -11401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 27*f - 4 = 0. Is 1654 + (4 - (f\/(-4) - -2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0958699 and -14.\nAnswer: -1.3421786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3115 divided by 7.\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, m: 4, j: 2, p: 6}. What is prob of picking 2 p, 1 m, and 1 j?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*k - 24 + 7, -4 = 4*k + 4*w. Let c(p) = p**3 + p + 32. Let b be c(0). Let f be -1*(b\/2)\/2. Sort f, -5, k.\nAnswer: f, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*s + 17 - 0, -5*v + 9 = s. Let k(g) = -2*g - 5. Let w be k(-5). Let l(z) = -4*z - 4*z**3 + 0*z**2 + 1 - 3*z**2 + w*z**3. Give l(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) 1 (c) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116979628?\nAnswer: 2, 571, 51217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1332.61, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5 = -5*d + 4*a, 3*a = 6. Let b be 6\/(-4) + (-2)\/4. Calculate the remainder when 2 is divided by (b + d)*-1 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 3*v - 3. Let o be t(3). Let l = -6 - o. Suppose -4*i = -7*i + l. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21696 and 54528?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1876*q + q**2 + 2161*q - 7785*q + 1871*q + 1877*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*q - 107*q - 212*q - 198*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 0*b + 5*b)*(-10 - 1 + 52) + 3*b + 0*b - 2*b.\nAnswer: 83*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 q when four letters picked without replacement from {b: 5, q: 6, d: 3, o: 3}?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and -142.6701.\nAnswer: -142.6801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/32 and (-3)\/2*(29\/(-12))\/1.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 - 52. Let r = -15 + f. Which is the fourth biggest value? (a) r (b) -0.3 (c) -1\/8 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39798 - -123418\/3. Is 1342 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3, -2*l + 595005 + 75858 = -o. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -64, 0.2.\nAnswer: -64, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 13*k - 208680. Let y(h) = -h**2. Calculate s(y(t)).\nAnswer: -13*t**2 - 208680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 19*m**2 - 13*m - 33. Let u be q(18). Suppose 10*i + u - 257 = 0. Let a be 2\/5 + 3294\/15. What is the highest common factor of i and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926\/5 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 224, 836, 1856, 3284, 5120?\n\"Answer: 204*i**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*3\/1*1. Let a be (-2560)\/800 - 84\/(-20). Let y(d) be the second derivative of d**3\/6 + d. Let c(z) = 9*z - 2. What is a*c(o) + x*y(o)?\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 79, 558, 1775, 4072, 7791, 13274?\n\"Answer: 57*r**3 + 27*r**2 - r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 12*x**2 - 3*x - 6. Suppose -3*u - 45 + 9 = 0. Let d be o(u). What is the highest common divisor of d and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**5\/60 - 7*b**4\/6 + b**3\/6 + 2*b**2 + 10. Is 9 a factor of r(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, a: 11}. What is prob of sequence aajj?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23202143 (base 5) to base 15.\nAnswer: 421d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 11*a - 2. Let y be q(11). Let o be y\/3 - (-12)\/9. Sort -4\/3, 2, o.\nAnswer: -4\/3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-7 - -7) - 4 - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 1744*v = -1742*v + 64, -3*o = -49*v - 1308 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 7 - 28 = -4*z, -4*z + 47 = 3*j. Calculate the highest common divisor of j and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 109359863 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 4*v + 4. Let y be g(-4). Let l = 0 + 20. Solve -y*o + l = -0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714817191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000287 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1171)\/(-4) + 7\/28 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -56*k - 1 + 1. Let x be v(2). Let c = 322 + x. What is c rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**2\/2 - y + 4. Let c be x(7). Is 6\/(c\/(1 + -5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.232, 0, 0.5, -2\/13 in decreasing order.\nAnswer: 0.5, 0, -2\/13, -0.232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*z + 7. Suppose d - 2*d = -z. Calculate the remainder when 26 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587174?\nAnswer: 2, 3, 264529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -93, -196, -349, -558, -829?\nAnswer: -1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.192 and 0.037.\nAnswer: 0.007104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -5 = -23383\/6599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/5*2170\/(-651)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 295 = 5*a, 5*v + 2*a - 23 = 257. Suppose -6*l = -9*l + v. Solve 0 = 4*x - 3*m + 16, x - 3*m + l = 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (60\/(-25))\/(6\/1365). Let v be i\/(-8) + 4\/(-16). Suppose 4*n - v = -c, 0*c - 4*c - 3*n + 259 = 0. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 273*j**4 - 6*j - 2*j + 2 + 2*j + j**2 - 271*j**4 as q + a*j + c*j**3 + n*j**2 + p*j**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4753801 to the nearest integer?\nAnswer: 2180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15293539*k**3*m**2 + 27461*k**2 + 131*m**2 wrt k?\nAnswer: -91761234*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2\/5 - 404*c + 234768\/5 = 0.\nAnswer: 134, 876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44070 and 2034.\nAnswer: 132210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3 - 56*i**2 - 342*i + 396 = 0. Calculate i.\nAnswer: -6, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from erae?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17*(-44)\/374)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72866669 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbm when three letters picked without replacement from xxmjrbtm.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 257311377 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -25. Let c = r + -23. Let 0 - 2\/9*f**4 - 2\/9*f**5 + c*f + 0*f**2 + 0*f**3 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*1*(-128)\/(-20). Let n be (18\/(-4))\/((-2)\/q). Let i be (-6)\/9 - (-75)\/n. Is i greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 + 3)*(-3*y - 4*y + 2*y)*(-3 + 7 - 3) in the form r*y + x and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 868 and 25544.\nAnswer: 178808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -513 in 0.4, 0, -0.5, -0.1, 28?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, 24, 39, 54, 69, 84?\n\"Answer: 15*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23679536563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -306.3, -2, 0 in ascending order.\nAnswer: -306.3, -2, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 42*b**2 + 46*b + 205. Calculate q(-43).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*l**2*y**4 - 2*l**2 - 2832*l*y**4 - 746*y - 1 wrt y?\nAnswer: 204*l**2*y**2 - 33984*l*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24440?\nAnswer: 2, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*z**3 + 4*z**2 + 2*z**2 + 25*z**3 - z**2 wrt z.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-8)\/p)\/(p*p\/(p\/p**0)))\/(p*(p*p**(11\/5))\/p*p*p**2*p*p) assuming p is positive.\nAnswer: p**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 8*l + 1. Let g(i) = -6*i + 12. Let q be g(3). Let z(y) = 2*y**2 + 15*y - 2. Let t(k) = q*z(k) - 11*r(k). Determine t(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 264 = 62*u - 180*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -409 - -572. What is the remainder when v is divided by 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 1\/5 (c) -0.2 (d) -42 (e) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1779 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 9) to base 5.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -14\/913 (b) 2\/9 (c) 4\/5 (d) -0.34 (e) -4\/5 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*s - 18 = -2*z, 12 = 4*z. Solve 4*y = s + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 26 (c) 31 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -67*r - 110. What is the tens digit of l(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -135*v - 1139 - 211 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -763*d - 1581 - 35043 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 682*j**3 - 13*j**2 - 16*j - 5. Let r(w) = w**3 + 3*w**2 + 3*w + 1. Calculate p(h) + 5*r(h).\nAnswer: 687*h**3 + 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-44)*-26 + (-7)\/((-28)\/48).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1188\/(-360) - 129724\/(-39480).\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460922\/61 >= 7556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496 = 538*m - 1382 + 4639 + 5309 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + sqrt(68) + -2)*3*-3.\nAnswer: -18*sqrt(17) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 12*z - 6. Calculate the remainder when (-3 + 2)*41*-1 is divided by l(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.1013+0.15399749\nAnswer: -3.94730251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 171301309313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*w**3 - 8*w - 7*w**3 + 7*w + (w**2 + w**2 - 6*w**2)*(2*w - 1 + 1).\nAnswer: 5*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2547.42, 4, -38?\nAnswer: 2547.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1127 + -989. Calculate the remainder when -1*1*(-4 - 211) is divided by 4980\/v - 5*(-10)\/(-575).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48024346*o**2 - 7204734*o - 6.\nAnswer: 96048692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6724*k + 4750*k + 3760*k + 1723*k as j + m*k and give m.\nAnswer: 3509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 - 30*n**2)*(0*n - 2*n + 0*n)*(2*n - 2*n + 2*n).\nAnswer: 120*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00072136 rounded to six decimal places?\nAnswer: 0.000721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.47 - 0.07. What is the nearest to 3\/8 in 0, s, 1\/7, -2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 + 0.5. Let n = -1\/62 + -115\/558. Which is the closest to 1\/4? (a) n (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(130)\/(sqrt(40)\/sqrt(4) + sqrt(10)))**2 + 0.\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 0*t**5 + 4*t**2 + 0*t**6 + 0*t**3 + 1\/15*t**7 + 7\/24*t**4 + 0*t + 0. Find the second derivative of p(d) wrt d.\nAnswer: 168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -622*c = -628*c + 24. Solve -4*j + 3*j = -d - 4, 0 = -2*j - d - c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}