{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*h**3*l - 80642667*h**3 + h**2*l + 33381022 wrt h?\nAnswer: -18*l - 483856002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -88 + 90. Suppose -s - 3 = 5*f, 2*f + 14 = -4*s + y. Which is bigger: f or -5\/8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.3 in 0.1, -1\/5, -4\/3, 27, 2.9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 204, 371, 648, 1035, 1532, 2139?\nAnswer: 2856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75682 is divided by 2425?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i**3 + 2*i**2 - 15*i - 18. Let a(g) = -g**2 + 7*g + 8. Give 9*a(n) + 4*k(n).\nAnswer: 8*n**3 - n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 0*a + 28 = a, -3*a = -2*r + 1. Suppose 1107 = -4*c + 5*c - r*q, q - 4470 = -4*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fowajoa. What is prob of picking 1 a and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((1 + 3)\/(-1))\/(-18). What is the nearest to 3 in -0.6, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/(-2)*18\/5. Let u be 3\/l + 215\/15. Suppose -a + u = a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -37528*k**4 + 3*k**2 - 13 + 2*k**3 + 75186*k**4 - 37580*k**4 in the form h*k**4 + p*k**3 + o*k + y + z*k**2 and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1908a + -2?\nAnswer: 19088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 6*k + 222 = 4*k, 252 = h + 4*k. Suppose -h = -4*x - 3*c, -3*c + 16 = c. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of x**5\/20 + x**4\/24 - x**3\/3 - 5*x**2. Let r be (-18)\/(-8) - (-1)\/(-4). Does 9 divide c(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12306, -12287, -12266, -12243, -12218, -12191?\nAnswer: -12162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(68)\/sqrt(2))\/sqrt(2).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 4*s = 4, 0 - 4 = -2*b + 4*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000077089 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0114 * 92.\nAnswer: 1.0488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 140 + 1331045?\nAnswer: 1331225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 64\/3 of a day?\nAnswer: 512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8159599*d + 2356 = 8159723*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7376 + -7390. Which is smaller: -176 or y?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 161278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 6:11 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 16ba6 (base 12) to base 4\nAnswer: 20000232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 566231\nAnswer: -5\/566231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (3 + -3)\/(3\/((-6)\/(-4)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3\/(-6))\/((-3)\/12). What is the third derivative of -a**2 - 4*a**2 + x*a**2 + 9*a**5 + a**2 wrt a?\nAnswer: 540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -139947*f + 38 - 38.\nAnswer: -139947*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.09 - -3.91. Let v = 4.1 - t. Let s = v + 0.4. What is the third biggest value in 5, 4\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 - 130)\/(48\/32). Let j = 91 + n. Suppose 2*k = -j*x - 3, -k - x = 2*x + 3. Calculate the smallest common multiple of 9 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1037.31972 times -0.5?\nAnswer: 518.65986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l**(-4))*l**(-3)\/l*l)**(12\/5)\/(l**(7\/8)*l**(7\/4)) assuming l is positive.\nAnswer: l**(-9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/58176 and 139\/38784?\nAnswer: 116352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 111 = -91. Sort -4, z, -32, 1 in decreasing order.\nAnswer: z, 1, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7487 (base 10) in base 15?\nAnswer: -2342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 13*m - 247. Calculate b(14).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 41*v**3 - 18*v**2 - 29. Let y(a) = -82*a**3 + 39*a**2 + 57. Let d(i) = 13*k(i) + 6*y(i). Differentiate d(z) wrt z.\nAnswer: 123*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70579417 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jhhsjssjhhhhhjsjhhh. Give prob of sequence sjss.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24889?\nAnswer: 24889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -24*t**2. Let n(r) be the first derivative of -10*r**3\/3 - 170. Calculate a(n(u)).\nAnswer: -2400*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h + 51. Let g be j(20). Suppose -4*x = -8, u = -3*x - g - 11. Let r = 103 + u. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the third derivative of c**5\/30 + 12*c**2 + 3*c. Let m(p) be the first derivative of -2*p**3 + 47. What is m(v(d))?\nAnswer: -24*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 14*u**2. Let j(r) = -1181*r + 30. Calculate j(v(t)).\nAnswer: -16534*t**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1829, 1915, 2073, 2339, 2749, 3339, 4145, 5203?\n\"Answer: 6*b**3 + 44*b + 1779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 - 3*d**2 + 2. Let l be q(3). Let y be (3 - l)\/((-22)\/(-4)). Let v = -1005 - -1002. What is the second smallest value in v, y, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 25, 3 in descending order.\nAnswer: 25, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -7*h + 300. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 581 by 7.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10.9 + -11.88. Let n = i + -23.52. Let m = n - -24.49505. Round m to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -0.02, 3\/10, 0.375, 8.\nAnswer: -0.02, 3\/10, 0.375, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-688)\/2064)\/(((-60)\/50)\/(36\/80))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 579 is divided by 144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 + 17*a**2 + 26*a + 9. Let c be z(18). Calculate the highest common divisor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 44 = 3*h, -1 = c - 2*h - 15. Let b(p) be the second derivative of -4*p**3\/3 - p**2 + p. What is the smallest common multiple of b(-2) and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of 0*v**2 + 1\/12*v**4 + 0*v**3 + 65*v + 0. Let m(s) = 3*s**2 - 19. What is m(j(n))?\nAnswer: 3*n**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 344*437.562\nAnswer: 150521.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -207\/5 - -42. Let n = -29\/3 - -151\/15. Put n, -2, v in descending order.\nAnswer: v, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 112 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 490697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = 2*i + 11*i - 3*i. Let t(w) = 0 + 3 - 2. Let f(r) = r - 3. What is i*t(c) - f(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1313396617?\nAnswer: 13, 199, 507691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttptmtpztmtq. Give prob of sequence pmq.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -15\/8  (b) -1\/6  (c) -189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3548 is divided by 588.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 76 - 2*l - 97 + 66. Calculate c(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -2995*n + 188. Give m(0).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in ninety-five halves of a litre?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 29491 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1\/18 - -4\/9. Let z = 12 + -12. Which is the nearest to z?  (a) -2  (b) 0  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 + 11*l + 13. Let f be y(-10). Suppose 2*x - 4*m - 8 = -22, f*x - 14 = -m. Solve -k = -3*k - 10, -x*b = 2*k + 13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3611, 7207, 10799, 14387, 17971, 21551, 25127?\nAnswer: 28699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.05 + -2.95. Let w = b + -0.1. Let j = -1416 - -1418. Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5769.5 times 271\nAnswer: 1563534.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1156306?\nAnswer: 2, 17, 71, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -1 - 21\/(-15)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -12870, -13485, -14100, -14715, -15330?\n\"Answer: -615*b - 12255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 140504042 to the nearest integer?\nAnswer: 11853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1552\/304 - 6\/57.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 483 is divided by 70.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 + (-4278)\/(-155) - 7\/(980\/(-16))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1 + 0 - 0) + 98 is divided by 381\/15 + 16\/(-40)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1352 is divided by 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*p**3 - 17310*p**2 + 52108059*p - 52090746 = 0. What is p?\nAnswer: -7954, 1, 2183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 28 and 896.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 124\/(-16) - (-1)\/(-4). Let d(x) = -17*x - 12. Let q(o) = 6*o + 4. Let h(y) = b*q(y) - 3*d(y). Does 7 divide h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1122219673?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -63 + (5 - -1) + -4 + 232 + -227?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7\/54 + 10\/27. Let w(b) = -b + 4. Let m be w(3). Put 0, t, -3, m in descending order.\nAnswer: m, t, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -28 + 8. Let k(z) = 7*z + 4. Let v be k(h). Calculate the highest common factor of v and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 19?  (a) 1\/6  (b) -47  (c) -0.9  (d) -13  (e) 0.1  (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1492402 is divided by 109.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of 1\/20*l**5 - 1\/2*l**2 + 2 - 1\/6*l**3 + 1\/12*l**4 - l. Let b(g) be the first derivative of s(g). Factor b(j).\nAnswer: (j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(3*sqrt(275))**2 - ((sqrt(1584) - (-2 + sqrt(1584)))**2 + -3).\nAnswer: -9901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*f**3 + 0*f**3 - 2*f**3)*(0 + 1 + 1 + (0 + 0 - 4)*(-62 - 55 + 62)) to j*f**2 + k*f**3 + v*f + w and give k.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -14344, -14584, -14992, -15574, -16336, -17284?\n\"Answer: -c**3 - 78*c**2 + c - 14266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-28))\/(20\/60)*2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -40 - -45. Suppose -n + 56 = -4*y - 5*n, 0 = n + k. Let g = 21 + y. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 40*k**2. Let l(h) = -1965*h**2. Determine x(l(j)).\nAnswer: 154449000*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0064 - 0.006119. What is z rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k**2 - 2*k**2 + 108829233*k**3 - 108829198*k**3.\nAnswer: 35*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 5. Let k = -194 - -1360\/7. What is the second smallest value in k, c, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 157 + -125. Factor -183*y - 84*y**2 + h*y**2 + 31*y**2 + 45 + 33*y**2.\nAnswer: 3*(y - 15)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 228316 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 29741 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o + 12*o - 4 = 0. Let -8\/9*g + 2\/3*g**o - 8\/9 = 0. What is g?\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 149 + -145. What is the lowest common multiple of 158 and n?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 569338 to the power of 1\/2, to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = -2, -2*f + 2 = -z - 4*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b + 3. Let z be x(0). Suppose -h - y + z = 0, -h + 0*y = -3*y - 3. Suppose 0 = -t - h*k + 46, 0*t - 48 = -t - 4*k. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -82 + 78. What is the nearest to 0 in r, -0.021, 1\/4?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3820515l in millilitres?\nAnswer: 382.0515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 + 5*t - 1. Let y be z(-5). Let b(o) = -12*o + 10*o - 3 + 4. What are the prime factors of b(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 735677, -483, -4 in increasing order.\nAnswer: -483, -4, 735677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10554, 10856, 11154, 11448, 11738, 12024?\nAnswer: 12306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -3*b**2 + 8*b. Let m(g) = -13*g**2 + 33*g - 1. Calculate -2*m(i) + 9*r(i).\nAnswer: -i**2 + 6*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 244 and 1403?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -307.94 - -308.34. What is the nearest to m in 2, -9, -117?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 4*x = -a - 21, 7 = 2*x + a. Suppose n + x*n - 2*w = 0, 0 = -4*n - 2*w. Solve 5*b = -n*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -316619*q + 316735*q + 1160 for q.\nAnswer: -10","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: Suppose 0 = 4*b - 5*r - 56, r + 42 = 2*b + b. Calculate the lowest common multiple of b and 1592\/16 - -8 - 5\/(-10).\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g + 3. Let k be n(-3). Suppose 2*q = -3*p + 32, 5*q - 4*p - 34 + 0 = k. Let x = 137 + -57. Calculate the highest common divisor of x and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1327009 is divided by 78?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + -13542?\nAnswer: -13541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 10. Let c(a) = -5*a + 4*a + 6*a**2 + p + 3*a + a**3. Let y be c(-6). Sort 3, y, 4 in increasing order.\nAnswer: y, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3097132 is divided by 139?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.008 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -26*i - 24. Determine v(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 6 + 0)*(-1 + 1 + o)*(-1 - 1 + 1) in the form g*o + f and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2*t**3 + 3*t**2 + 2*t + 211. Let u(s) = -4*s**3 + 8*s**2 + 5*s + 423. Give 5*c(x) - 2*u(x).\nAnswer: -2*x**3 - x**2 + 209","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -369 and 0.2939?\nAnswer: -108.4491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.301066473 rounded to three dps?\nAnswer: -0.301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventeen sixths of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 73488\/5 + -14698. What is the second smallest value in -2, -0.5, -0.038, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4310 divided by -1\nAnswer: 4310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, a: 9, b: 3, q: 2, f: 3}. What is prob of sequence ff?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/9*1 + 16\/(-9). Let k be h + (-10)\/(-2) + (-7 - -3). Calculate the remainder when 51 is divided by (-312)\/(-24) - (k - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 144773?\nAnswer: 144773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12804 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.452948 rounded to one dp?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.901962 centimeters to millimeters.\nAnswer: 9.01962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-8)\/(-6))\/(28\/21). What is the units digit of 85\/15*(2 + k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2880?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1597\/6436 - 3\/1609. Which is the third smallest value?  (a) v  (b) 0.8  (c) -5  (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -6*w - 13. Suppose 0 = -10*o - 2*o - 36. Let p be a(o). Calculate the highest common factor of 40 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 114057, 3, -7, 2, 1 in decreasing order.\nAnswer: 114057, 3, 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -28*u**2 - 10*u - 9. Let i(d) = 85*d**2 + 29*d + 26. Let s(q) = 6*i(q) + 17*n(q). Let t be s(-3). What is the greatest common factor of 27 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 10:43 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 346 divide 28686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 2*f - 16. Suppose 8 = 2*b + 5*s - 2, 3*s = 3*b - f. Suppose -2*j + 8 = b*p - 5, 2*j - 4*p = 4. Solve -j*a = a - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 30 - 30.2. What is the nearest to 0 in -0.4, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 11:37 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (((-147)\/60)\/(-7))\/(385\/110)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 522*h**2. Let b(r) = 2*r. What is b(k(g))?\nAnswer: 1044*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.16889007 rounded to two dps?\nAnswer: -4.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 3. Let p be (i - 10)*2\/5. Let r(t) = -2*t - 5. Let g be r(p). Solve 7*h = g*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k**3 + 5*k + 4 - 8 - 3*k**2 + 3 + k**2. Let l be z(-5). Suppose l*w = 179*w - 1560. List the prime factors of w.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) -1\/4  (c) 1.17  (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2924973739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 3*u**3 - u**2 + 4*u + 6. Let h(v) = 2*v**3 + 3*v + 5. Calculate -4*h(x) + 3*s(x).\nAnswer: x**3 - 3*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -134.6431 to 0 decimal places.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 0  (b) 11  (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 2*c - 16 = 0, u + 0*c - 7 = 5*c. Let r be (-180)\/(-8) + u\/(-6). Let o = r - 1. What is the remainder when 65 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 540 = -4*l, -9*x - 2*l - 542 = -10*x. What is the highest common divisor of x and 2048?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -121473912 + 14.\nAnswer: -121473898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 287 divide 29561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - u**2 + 4*u - 10. What is c(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1017 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2698639?\nAnswer: 71, 191, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 894 + -894.00001135. Round b to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -66 + 402. Suppose 0 = 6*s + 2*s - d. Calculate the highest common divisor of s and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -777 divided by 1\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -80, -174, -294, -452, -660, -930, -1274, -1704?\n\"Answer: -2*t**3 - t**2 - 77*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -6*v**2 + 10*v + 8. Let z be r(-7). Calculate the common denominator of -67\/6 and (z\/32)\/((-18)\/(-8)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 133901169, 133901161, 133901153, 133901145, 133901137, 133901129?\n\"Answer: -8*s + 133901177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 14 = -6*f + f, -5*d - 4*f = -13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/1408 and 31\/1056.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 200578013 to the nearest integer?\nAnswer: 14163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 13) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 49*y - 2629. Give g(54).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -61641 divided by -3\nAnswer: 20547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4880*z + 134490 = -211990 for z.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 2*v**3 - 10*v**2 - 20*v - 14. Let r(q) = -5*q**3 + 31*q**2 + 60*q + 41. Let u(o) = 6*r(o) + 17*x(o). Factor u(d).\nAnswer: 4*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.4  (b) -0.5  (c) -0.1  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 AM and 9:06 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(2*sqrt(68) - sqrt(68)) - (2*-3*sqrt(68) + sqrt(68)))\/(6*(sqrt(196) + (sqrt(196) + sqrt(196)*2 + sqrt(196))*-2 + sqrt(196) + sqrt(196)))*-3)**2.\nAnswer: 17\/4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**0)**39)**(-31) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 - 4*h + 25. Let m(u) = 6*u**2 - 26*u + 151. Let x(a) = 13*f(a) - 2*m(a). What is x(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 49834535?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -3*n + 1081. Let m(k) = 8*k - 2167. Give -3*m(j) - 7*x(j).\nAnswer: -3*j - 1066","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 7967668?\nAnswer: -796766.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 133700, -1 in increasing order.\nAnswer: -1, 2, 133700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 + 2*a**2 - 3*a + 4. Let w be h(-4). Let s = -12 - w. Calculate the remainder when 10 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of 2*a**3\/3 - 18. Let u(w) = w**2 - 5. What is u(g(m))?\nAnswer: 4*m**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 40*m - 1. Let g(f) = -39*f + 2. Let w(k) = 3*g(k) + 2*v(k). Let l(z) = -z**3 + 5*z**2 - 2*z + 7. Let s be l(5). Is w(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 7:14 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02799 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -112*a + 11*a**3 - a**3 - 2*a**2 + 1 + 123*a + 10*a**3 to s + b*a**2 + j*a**3 + g*a and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*c - 467*c + 1711 = -11897 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/10))**1\/(y**(-18)*y**(-4)) assuming y is positive.\nAnswer: y**(221\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 312 and 1768?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*t + 18*t - 3*t - 5098*t**2 + 86 + 5095*t**2 wrt t.\nAnswer: -6*t + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*h**3*j*n**3 - 6144*h**3*j*n**2 + h**3*n**3 - 3433*h**3*n + 3*h*n**3 wrt j.\nAnswer: 5*h**3*n**3 - 6144*h**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvqvqvqvqvqvqqv. What is prob of sequence qq?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45 is divided by 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77 is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3492 by -4.\nAnswer: -873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 276 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 + 5*w**2 - 4*w + 4. Let s be c(-5). Find the common denominator of (-7)\/((-12)\/6 - -74) and 1\/(138\/(-470) - s\/(-60)).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -127*n + 456*n - 114*n - 130*n - 131*n.\nAnswer: -46*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, z: 4}. Give prob of sequence zz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + -6. Let j = -1 - d. Suppose -g - 2 = -2*g. Sort j, g, 0 in decreasing order.\nAnswer: g, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-183 + 185)*(-6)\/20?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(4*1))\/(47\/(-376)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 199 = 9*r + 163 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {l: 1, y: 2, e: 7, g: 3, i: 7}.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16638*b + 33267*b - 6*b**2 - 16 - 16629*b + 24*b**2.\nAnswer: 18*b**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/9?  (a) 0  (b) -59  (c) -1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 3*z - 103, -8*l + 3*l - 135 = -5*z. Let x(u) = u**2 + 27*u + 115. Let o be x(l). Solve -g - 4 = o*y + 4, -g + 1 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 1117*j**3 - 9*j**2 + 20*j + 140. Let u be k(-8). What is u rounded to the nearest 1000?\nAnswer: -573000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -6072248\nAnswer: 6072248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10980 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.3 * -9.28.\nAnswer: -12.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 110 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -k - 5*c, -17*c = -4*k - 16*c - 9. Sort -28, k, 10 in decreasing order.\nAnswer: 10, k, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 2*m**2 - 3*m - 3. Let l be n(-1). Suppose -4*x = -l*j - 2*x + 708, -j + 4*x = -339. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 360 and 237582880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10137 is divided by 843?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 3*n**2 + 21*n + 34. Let c be h(-18). Suppose -842 = -5*k + c. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -73, -86, -103, -124, -149?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -2*k**2 - 40*k + 306. Let g be a(6). Is g at most as big as -106\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 0 - (6 + -21 + 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*z**3 + 10*z**2 + 0*z**4 - 11*z**2 - 44*z - 3 + z**4 + 43*z in the form q*z**4 + l*z**2 + n*z + x*z**3 + i and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 684814924 to the power of 1\/3, to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 963, 7629, 25705, 60891, 118887, 205393?\nAnswer: 326109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*p**2 - p*r**2 - 5213236*p*r + p + 398769496*r**2 with respect to p.\nAnswer: 4*p - r**2 - 5213236*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 62 - 66 - 17*a**2 - 1. Let u(s) = 9*s**2 + 2. Give 2*g(j) + 5*u(j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 345.072 - 0.072. Let k = w - 375.6. Let o = -25 - k. Round o to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -a306 (base 11) in base 3?\nAnswer: -200202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-6 - 785412\/(-90)) + ((-12)\/15 - -1)?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g + 4*g - 2*g)*(g + 3*g + 23*g) - 4*g**2 + 2*g**2 + 0*g**2.\nAnswer: -56*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*q**2 - 58*q**2 - 63*q**2 + 107*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 527 + -527. Let q = -69 - -99. Suppose w - q + 9 = k. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 123005 + 355?\nAnswer: 123363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -5*m + 17. Suppose 0 = -12*y + 5*y + 21. Let h be l(y). Factor 2 - h*t + 1\/2*t**2.\nAnswer: (t - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 407 - 419, 0 = -w - 2*x + 9. Suppose -2*g + 5*n + 14 = 0, 2*n - n + 8 = 3*g. What is the remainder when w is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3671*p**5 + 2235*p - 1 wrt p.\nAnswer: 73420*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 25*w**2 - 3. Let y(j) = 3830*j - 2. Calculate y(x(m)).\nAnswer: 95750*m**2 - 11492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 64 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10060 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -164 + 101. Let g = x + 65. Let i = -0.5 - 0. Sort i, g, -1, -4.\nAnswer: -4, -1, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-2))**(-7))**0*(d*d**3*d**0\/d)\/((d**5*d)\/d**(-7)) assuming d is positive.\nAnswer: d**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 554211 to the power of 1\/2, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 + 107*r**2 - 29*r + 6884. Give y(107).\nAnswer: 3781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (5 - -4)\/((240\/8)\/6)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 m, 1 f, and 1 z when four letters picked without replacement from fszsfom.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than -249854003?\nAnswer: -249854002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6810 and 31673310.\nAnswer: 31673310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d**4 + 8*d - 3*d**4 - 1 - 3*d**2 - 5*d + 5 to the form i*d + c*d**2 + q*d**4 + h*d**3 + k and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*34\/90 + (-6)\/(-27)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 10) to base 3\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3500 = 5*h + 5*d, -25*h + 29*h + 5*d - 2801 = 0. Let t = h - 635. Does 32 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-54)\/12 + 0)\/(2\/(-4)). Suppose -24*w + 27*w + d = 0. What is the fourth smallest value in -4, w, -4\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) 98  (c) 5  (d) 367  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i + 6 = -24. Find the third derivative of -27*p**i + 9*p**2 + 17*p**2 + 14*p**2 - 47*p**3 wrt p.\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*m + 459 = 10*m + 19*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -72*s**2 + 85*s**2 + 103*s**2 - 248*s**2 - 432*s**2 in the form m*s**2 + f + a*s and give m.\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -243 + 557. Suppose -2*b = -5*r - 4 - 2, 3*b - 9 = 5*r. Suppose 2*m + x - 125 = r, -5*m = -0*x + 2*x - i. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 7 + -6 + (176 + -15 - 17).\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5414793721 + -0.6.\nAnswer: -0.0585206279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 1 + 2*o + (3 - 6 + 1)*(-3 + o + 3) + o - 2*o - o - o - 1 + 1 - o - 2*o - o - o + o - o to the form i*o + a and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.1 and -4.\nAnswer: 16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12868425?\nAnswer: 3, 5, 57193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.0231 or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37312 = -87*t + 95*t. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1d (base 16) to base 9.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/546 and 47\/1911?\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**2 + 86575*t + 866250.\nAnswer: -5*(t - 17325)*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mxyrrrkrwxyxrkrrry. Give prob of picking 2 y.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 a factor of 1392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 25 = 34 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, -1, -4, -26?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*i**2*l + 16242*i**2 - 23*l + 685 wrt i?\nAnswer: -4*i*l + 32484*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and 6427.\nAnswer: 1285.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 6:53 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 2525616 to the nearest 10000.\nAnswer: 2530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 3*x - 17 = 7*y, 2*x - 6 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 52 - -28223?\nAnswer: 28275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/((h\/h**0*h)\/h))**(1\/49)\/(h**(-1))**(-8\/5))**(-7\/8) assuming h is positive.\nAnswer: h**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((1\/(-3))\/(148\/666))\/(210\/160)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 460986 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20780840*y**4 + 6102205*y.\nAnswer: 249370080*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43678912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2 = -4*u - 1, 0 = 4*u - 3*v + 21. Let x be 2\/(12\/(-15) + 1). Suppose 0 = 4*n - 4*b, n + 5*b = -4*n - x. Put -4, n, u in ascending order.\nAnswer: -4, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u**3 + 4*u**2 + 3*u + 1. Let b be x(-2). Let g = -66422 + 66433. Put g, b, 0 in descending order.\nAnswer: g, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m + 12. Let w be i(-5). Suppose -f - w*g = -61, -2*f + 3*g = 25 - 140. List the prime factors of f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 17?  (a) 3  (b) 134  (c) 4  (d) -4  (e) -3\/8  (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, 0, 136, 1\/3 in decreasing order.\nAnswer: 136, 3, 1, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 - -5) + (322\/16)\/(-7). Let l = 0.3 + -0.4. Which is the biggest value?  (a) 0.5  (b) l  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.725 and 153.\nAnswer: -110.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 25341 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -22*n**2 - 5 - 14*n - 2*n**3 + 4*n**3 + 16*n**2 + n**3. List the prime factors of l(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -2*d**3 + 2*d**2 + d. Let i be j(-1). Factor 2*r + r**4 + 2*r**3 + i - r**5 - 4 - 2*r**4 + 2*r**2 - 3*r.\nAnswer: -(r - 1)**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.33 and -2664228092628.\nAnswer: -2664228092627.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 5:29 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 - v - 9)*(3 - 2 - 3) + (3 - 1 - 3)*(5*v - 3*v - 3*v) + 2*v - 14 + 14 as s*v + l and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -f*j**3 - 97*f*v**2 + f + 2*j**3*v**2*x - 21*j**3*x wrt v?\nAnswer: -194*f*v + 4*j**3*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 935155884 divided by 39.\nAnswer: 23978356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 90 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*z + 6, 2*z = 3*o - 7. Solve -5 = -a, 6*q - 9*q - o*a + 15 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(45) - sqrt(30)\/sqrt(54))*-4 + -5*5*(sqrt(180) + -1) + -5)**2.\nAnswer: -25040*sqrt(5)\/3 + 1962980\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*t - 42*t + 12 = 0. Let s = t + 53. Is 23 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91034676 a multiple of 622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1604.6?  (a) 3  (b) -132  (c) -2\/7  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*t + 25*t - 28 = 18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (62\/(-120) + (-5)\/(-20))\/((-8)\/(-20)). Let k = -1.3 + -3.7. Let p = -0.05 + -0.01. What is the closest to s in k, p, 2\/17?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13cc (base 13) to base 9.\nAnswer: 3841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8.16 + 0.16. Let m = h + 12. Let v = m - 3.9999983. Round v to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.4 from 4.06.\nAnswer: 4.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1267372 is divided by 1327.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - d = 2. Which is the third smallest value?  (a) 5  (b) d  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 + 6*x**2 + 2. Suppose -4*j = -2*d - 16, j = -d + 4*j - 9. Let g be f(d). Let a = -1 + g. Solve -3*n = 4*z + 7, -n - z = -a + 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 886 and 10593902?\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 11, j: 5, c: 1}. What is prob of picking 2 o and 1 j?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1261, -1287, -1313, -1339, -1365, -1391?\n\"Answer: -26*p - 1235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 + 8*z**2 - 4*z - 38. Let c be s(6). Solve 6*y = c - 28 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 230901468 divided by -76967156.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1060 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 4*c - 14 = -0*t, 5*c - 10 = 0. Suppose -l + 72 = t*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44085461 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4971, 4, 3, 10 in increasing order.\nAnswer: 3, 4, 10, 4971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9954 + -5964. What are the prime factors of g?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000034863 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 34302595 and 661.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -397705 = -1770*u + 5622*u + 3379*u for u.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 7297 and -1788?\nAnswer: 9085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of -l**8\/6720 + l**7\/1680 - l**6\/1440 - l**3\/6 + 3*l**2. Let i(n) be the first derivative of u(n). Let i(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -6*d + 2. Let j be n(1). Sort j, -1, -0.1.\nAnswer: j, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -287?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.384 rounded to 1 dp?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g + 4. Suppose -15 = -2*s - 3*m, 3 = 5*s - 0*m - 4*m. Let x be i(s). Solve l - 3*v = x, -5*v = -l + 5*l + 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (31\/3)\/((-5)\/(-180)). Suppose 0 = -5*n - 7*n + a. Calculate the remainder when n is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -k**4*w**2 + 12*k**2 - 2*k - w**2 - 114 wrt k.\nAnswer: -12*k**2*w**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -118844 divided by 29711?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 21346617 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (17 + (-4 - 0) + -12 + 10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -236 divided by -4.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 1)\/(16 - 17)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 283830?\nAnswer: 2, 3, 5, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 4:19 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -3*z**2 - 2*z + 5. Let h(n) = -n**3 - 2*n**2 - n + 4. Let j = -26 - -24. Calculate j*p(g) + 3*h(g).\nAnswer: -3*g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/(q\/q**(-1\/4)))\/q*q**(3\/4)*q)\/(q\/(q\/(q*q**(-2\/9))*q))**(-6\/13) assuming q is positive.\nAnswer: q**(109\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of s**6\/10 - s**2\/2 - 6*s + 2. Let t(a) be the first derivative of l(a). Find the first derivative of t(h) wrt h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 36473 + -143?\nAnswer: 36330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58088, -58089, -58090?\nAnswer: -58091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 34602 and 3820966.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32949963*w**2 - 1 + w**4 + 2*w + 2*w**4 - 32950209*w**2 to i*w**2 + d*w**4 + y*w + z*w**3 + r and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6441\/(-13)*42\/18. Let n = g - -1152. Calculate the common denominator of 46\/9 and n.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from raarrruarrararrrhhhr. Give prob of picking 1 r and 3 a.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -20462561 or -20462579?\nAnswer: -20462561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23*b**4 - 16159*b**3 - 2814227*b**2 wrt b?\nAnswer: 552*b - 96954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 46434811 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 164318277 and 224568.\nAnswer: 9357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 34 and -0.03.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 w, 1 o, and 1 h when four letters picked without replacement from {h: 3, f: 2, w: 1, b: 4, o: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or 2\/84816465?\nAnswer: 2\/84816465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 + -5. Suppose 4*b - 4*j - 30 - 6 = 0, 0 = -5*j - 25. Let w = b + 4. Solve d + l*d = -w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1647 is divided by 191.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 187 is divided by 53.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1612 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -29803, -60623, -92455, -125299, -159155, -194023?\n\"Answer: -506*l**2 - 29302*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 12*s**5 + 1521*s**4 - 24642*s**3 - 75372*s**2 - 70794*s - 21573 = 0.\nAnswer: -141, -1, -3\/4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 8*d - 33440 = 0. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 1136781379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -227908*b + 13. Let g be l(4). Let h = g + 637619. Round h to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.8 + -1. Let u = 102 - 105. What is the second biggest value in z, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1272475 or 1272429?\nAnswer: 1272429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -76*f + 5 - 488*f**2 + 9 + 494*f**2 - 15 to the form d*f**2 + z + j*f and give j.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 0 + 2\/15*w**4 - 2*w**3 + 2*w - 2\/15*w**2 = 0.\nAnswer: -1, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 231289689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 64114\/3 - 21371. Let u(l) be the first derivative of -1 - 5\/9*l**3 + 5\/6*l**2 - 5\/12*l**4 + 0*l + x*l**5. Find d such that u(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 3*a - 4. Let n(s) = -6 + 3 + 1 - 4 + 4*s. Suppose c = 5*g + 40, -c = -2*c + 3*g + 38. Suppose -3*t + c = 2*t. Give t*b(k) - 5*n(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Do -1631 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 217.42 and -0.3.\nAnswer: -65.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 75*p**4 - 32*p**2 + 4*p + 4. Let s(y) = -y - 2*y**4 - 1 - 5*y**2 + y**4 + 4*y**2. Let u(l) = q(l) + 4*s(l). Find the third derivative of u(j) wrt j.\nAnswer: 1704*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 51*q**2 + 36*q + 6. Determine c(-9).\nAnswer: 3813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 351 and 234?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - f + 11 = 0, -126*f + 121*f - 13 = -2*h. Which is the biggest value?  (a) 183  (b) 0.02  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j**2 - 2*j**2 - 2*j**2 - j**2 + 0 + 0 + (3 - 1 + 0)*(0*j + 0*j - 2*j**2) - 16*j + 16*j - 7*j**2)*(6*j + 2 + 0 - 21*j**2 + 14*j**2).\nAnswer: 98*j**4 - 84*j**3 - 28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1812)\/(-9)*42\/7?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 52*((-6)\/(-8))\/((-5196)\/(-12124))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34\/3875 and -43\/75.\nAnswer: 11625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 135 - 120. Suppose 5*g - 5*z - 187 - 93 = 0, 4*z - 12 = 0. Calculate the remainder when g is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (26 - (-1643)\/(-62)) + 171\/6?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*x - 616 = 50*x. Let k = 44 - x. Solve k*r = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1129758.5 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t - 5. Let b be p(-7). Let l be 3\/24*(9 - 7). Factor -1\/2*a**b - 1\/4*a - l*a**3 + 0.\nAnswer: -a*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -93 - -170. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*p = -1721 + 1750 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -210.53 - -231.6. What is c rounded to 1 decimal place?\nAnswer: 21.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 42 - 41. Which is the nearest to 1?  (a) y  (b) 0.4  (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(2057) - sqrt(2057))*1 + 1)**2.\nAnswer: 22*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 25823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (((sqrt(720) + 0)*-2 - -5*(2*sqrt(720) - sqrt(720))) + (sqrt(720) - (sqrt(720) + 0 + 3)) + 0 + sqrt(720) + 0)**2.\nAnswer: -288*sqrt(5) + 11534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that x**4 - 49*x**3\/8 - 25*x**2\/4 + 7*x\/8 = 0.\nAnswer: -1, 0, 1\/8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.45 + 6.55. Which is the closest to 0.02?  (a) -0.5  (b) o  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7410 and 100.\nAnswer: 74100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 606150 divided by -5\nAnswer: -121230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 171 - (-4 - -2). Suppose -j = -n - 35, 0*n + q = 5*j - 2*n. Calculate the remainder when j is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + m + 4*m + 124, 0 = -3*z - 3*m + 84. Let r = z - 98\/3. Let b = -10 + 9.5. Put b, r, -2 in increasing order.\nAnswer: -2, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/2 - 4*w**2 - 15*w\/2.\nAnswer: -w*(w + 3)*(w + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3561, -14114, -31613, -56010, -87257, -125306?\nAnswer: -170109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 - b1e?\nAnswer: -b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -117 in -5, -7, 2\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -103047*l**4 - 60*l**3 + 57472263*l wrt l.\nAnswer: -1236564*l**2 - 360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/(-32)*1*(-28)\/(-70)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3\/2 - 44*y**2 + 183*y\/2 + 135.\nAnswer: -(y - 3)*(y + 1)*(y + 90)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 - 82. Let m = o + 78. Suppose -m*p + 118 + 134 = 0. What is the highest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (0 - 2\/6)*-93 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 13*k. Let a(z) = 86*z**2 + 252476*z. Give a(x(w)).\nAnswer: 14534*w**2 + 3282188*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (13 - (0 + 8)) + -4 + 15\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j. Let a be l(2). Suppose 0 = a*p - 3*p - 3*k + 25, -4*k = -20. Calculate the smallest common multiple of p and 17.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -3*u**4 - u**3 + 3*u**2 + u. Suppose 10 = -4*b - b. Let y(x) = 13*x**4 + 4*x**3 - 13*x**2 - 4*x. Let m(n) = b*y(n) - 9*g(n). Factor m(f).\nAnswer: f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23529057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -42\/3265 and 25\/61.\nAnswer: 199165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 AM and 9:11 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -7*p - 2*p + 4*p + 22*p**2 - 1. Is f(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 114 - 365531?\nAnswer: -365414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 26*r**2 - 1. Let p(o) = -o**3 + 2*o**2 + 3*o + 1. Let v be p(0). Determine s(v).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 56140 (base 10) to base 9.\nAnswer: 85007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*o + 24 = -33*o. Let v be 0*-2*2\/8. Suppose r + 2*c + 0*c - o = v, 3*c = -2*r + 43. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 11181017*a*i*r - 7*a*i + 2*a*r + 4*a - 442146*i wrt r?\nAnswer: 11181017*a*i + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 180 = -4*u. Let a be 108 + ((-4)\/(-1) - 3). Let q = u + a. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -0.0631.\nAnswer: 0.1262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/10 - (102284\/105)\/52)*3?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - n, 27 = 5*c - n - 3*n. Suppose -2*r + 9 = r. Find t such that t + t**4 - 2*t + c*t - r*t**3 - t**2 + t**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one tenth of a day?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*x**2\/5 + 309636*x\/5 + 2741392\/5.\nAnswer: 2*(x + 22108)*(7*x + 62)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + l - 3497, 0 = -5*r + 2*r - l + 10487. List the prime factors of r.\nAnswer: 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jhjh. What is prob of sequence jj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (143\/403)\/((-45)\/1395)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000542175042 to five dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/2)\/(1 - 55\/40). Solve 23*q + 4*l = 18*q - 36, 4*l - d = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 7120519 and 7120509 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of -14*v + 33 + 45\/2*v**6 + 0*v**5 - 3\/2*v**2 + 0*v**4 + 0*v**3. Find the second derivative of t(x) wrt x.\nAnswer: 2700*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 103112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-466)\/(-44) + -5 - (2 + 0) and 79\/(-10) + -1 + 0.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/((42275\/(-2755))\/(-89))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 29296 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -188.0132396 plus -2.7?\nAnswer: -190.7132396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*b**2\/7 + 17550*b\/7 - 100648\/7.\nAnswer: -2*(b - 2188)*(4*b - 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 42451436059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 103364*m**3*q - 483*m*q wrt m.\nAnswer: 620184*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-5\/6))**21*(x*x*x*x**1*x)\/(x\/(x*(x**(-2\/11)\/x)\/x)) assuming x is positive.\nAnswer: x**(-323\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 7\/(-14)*-16*6\/(-8). Let p(l) = -l**2 + l + 1. Let c(u) = 73*u**3 + 6*u**2 - 6*u + 99. Let o(x) = z*p(x) - c(x). What is the derivative of o(w) wrt w?\nAnswer: -219*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.028  (b) 5.021  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -32676*w + 32640*w + 288 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 AM and 11:48 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + 280?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -90 + 94 - 2\/(2 - 0). Suppose g*x - 160 = -x. Calculate the remainder when 197 is divided by x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -258 + 362. Let p = -10794 + 10872. Calculate the greatest common factor of p and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 664 divide 1231058656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 2*d + 8 = t, 2*d + 5*t = 6*d + 30 + 34 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + -2249?\nAnswer: -2254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 12:03 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 4*i**2 - i - 2. Let j be n(-1). Sort 3\/11, 4\/7, j in descending order.\nAnswer: j, 4\/7, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and 203.\nAnswer: 81.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -588971 divided by 13697.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 9*g - 27. Let x be b(4). Suppose s - 16 + x = 0. Solve 0*f + 2*f - 5*l - 4 = 0, 0 = -f + 5*l + s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1117420 + 50?\nAnswer: -1117350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + -22 + -4 + -12 + -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 6*t - 5*t - 8753, 0 = f + 3*t - 1745. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, l: 4, o: 9}. Give prob of picking 1 e and 3 l.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 7*p**2 - 9*p + 3. Let u be (272\/(-85))\/(4\/10). Calculate the remainder when t(u) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 18*g - 4. Let y(s) = 88*s - 5. Let h(c) = -153*c + 10. Let m(x) = 3*h(x) + 5*y(x). Determine -5*m(t) - 6*v(t).\nAnswer: -13*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1607992?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 12.3, -1.7 in decreasing order.\nAnswer: 12.3, -1.7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7419323861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 3*t = 14, 5*i = -t + 250 - 249 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -467, -426, -385, -344, -303?\n\"Answer: 41*c - 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/4)\/(1*18\/60)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 64229980, 64229984, 64229990, 64229998, 64230008, 64230020?\n\"Answer: p**2 + p + 64229978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*b**2 + 7*b**2 - 21*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*h + 18*h - 2*n + 54 + 27 = -65, 0*n = -n + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 + 13 - 19 + (4 - 7 + 5)*(-3 + 1 + 0))*(-3*q**5 + 2*q**5 + 0*q**5 + (-2 + 2 - q**2)*(3*q**3 + q**2 - q**2)).\nAnswer: 116*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -15*b. Let q(u) be the third derivative of -u**4\/12 + 4*u**2. Determine q(l(s)).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -4*v**2 - 4. Suppose -4*s + s = -12. Let c(m) = -3*m**2 - 3. Let b = 9 + -15. Let a(z) = b*c(z) + s*t(z). What is the derivative of a(r) wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -7*v**3 - 5*v**2 + 12*v. Let j(g) = -12*g**3 - 9*g**2 + 22*g. Let b(i) = 6*j(i) - 11*z(i). Calculate b(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c - 3834 - 9 = 0. Suppose -5*x = -c - 428. Calculate the remainder when x is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the first derivative of l**4\/4 + 5*l**3 + 11*l**2\/2 - 4*l + 5. Suppose -2*b + 8 = 36. What is the units digit of u(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.8?  (a) -0.4  (b) -1\/4  (c) 2\/7  (d) 2\/5  (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add -352 and 2.8.\nAnswer: -349.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 61314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.6*1698.\nAnswer: -4414.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 AM and 9:33 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 3*r**2 + 9*r - 3. Let j(b) = 2*b**2 + 6*b - 2. Let p(o) = -7*j(o) + 5*x(o). Let a be p(-4). Suppose -a*n + 628 = 2*y, -4*n + 3 = 11. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 24 = -p + 2*l, 8 = -2*p - 4*l. Sort p, -5, -3 in decreasing order.\nAnswer: p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the third derivative of -u**6\/60 + 13*u**5\/30 - 5*u**4\/8 - 113*u**3\/6 + 2*u**2 - 178*u + 1. What is k(12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 0*i = 0. Suppose -2*v = 3*q - 4*v - 32, 4*q - 3*v - 44 = i. Let z(w) = 5*w - 9. What is the remainder when z(q) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 48 - 48.05. Let j = 1471 - 1451. Which is the nearest to -1?  (a) -1\/10  (b) p  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6, 1\/4, -2\/5, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2*k**2 + 43*k - 8. Let s be u(21). Suppose 0*p - 4*p + 8 = 0. Suppose 0 = -2*g - 2*n + 24, 3*g - 8 - s = p*n. Solve -5*w + g = 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3148 + 3154. Solve 2*w + o = 10*h - 14*h, -5*w - 2*h + 17 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -1. Let p(d) = 0*d + 2 + d + 2. Let m(t) = p(t) + 5*u(t). Let y(c) = -7*c + 4. Suppose -2*f - 6*g = -4*g + 2, -3*f - g = -1. Give f*y(b) + 5*m(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 20*m - 16. Let y(c) = 9*c - 7. Give -3*i(s) + 5*y(s).\nAnswer: -15*s + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 109, 216, 325, 436, 549, 664, 781?\n\"Answer: g**2 + 104*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 21 = -5*y, 0 = 4*o - 2*y - 2*y + 52. Let h = o - -32\/3. Let f = -307\/700 + 1\/100. Which is the nearest to 1?  (a) 5\/4  (b) h  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 1:55 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9644244 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - 251*f = -22*f + 9703 - 150 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21086 by 17661.\nAnswer: -21086\/17661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 5 = -y, -2*y - 3*c + 7 = -0*c. Let d be (y + 0)\/(2\/(-12)). Let g(k) = -k**3 + 7*k**2 - 5*k. Give g(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 58 - 53. Is (-15)\/f + (-1 - -1091) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 3*l = -15, 4*l = 5*y - y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -9*m + 53. Let w be y(6). Let r be (136 + w)\/15*(11 - -1). Calculate the greatest common divisor of 360 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -372 divided by 4?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 46438, 92887, 139346, 185821, 232318?\nAnswer: 278843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 871812555.\nAnswer: 3, 5, 4091, 14207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + a**3 - 17*a**3 + 7*a**3 + 1 + 2*a**2 in the form l + j*a**2 + t*a + c*a**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -3*d**3 - d**2 - 4*d - 1. Let g be q(-3). Let v = 90 - g. What is the remainder when v is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 7 - 5. Suppose -a = -0*a - q*z - 15, 2*z + 4 = 0. What is the remainder when 20 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9913122 and 56817?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 143*b**6 - 2*b**4 + 852*b**2?\nAnswer: 17160*b**3 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -45 + 43. Let b be (0 + w + -8220624)\/(-2). Suppose -1079687 - b = 3*x. What is x rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9910 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4692123 is divided by 326.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 2\/159, -17.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 AM and 7:54 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-4))\/(1988\/43736).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 271899553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 14*k - 35. Let q(l) = l - 3. Let v(n) = -70*q(n) + 6*s(n). Let c(d) = d. Determine v(c(y)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 281002?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5430009097 to the nearest integer?\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/f**(1\/6)*((f*f**(4\/9))\/f*f*f)\/f*f**(-3)\/f**7 assuming f is positive.\nAnswer: f**(-139\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/30)\/(60\/750).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 2)*(6 - 6 - 3*v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 2*v + 22 = -4*z, 5*v - 3*z - 34 = 0. Suppose 4*u = 3*g + 219, -v*g - 2*u - 270 = -g. Let q = g - -168. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p = -35*r - 109, -3*r = 197*p - 323*p + 124*p + 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*w - 4. Suppose 3*g - 5*g = -3*m + 52, -3*g = m - 32. What is the units digit of 9*w\/(24\/m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22102 (base 4) to base 12\nAnswer: 46a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 863 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + bea?\nAnswer: be5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 86 and 776.\nAnswer: 33368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-25))\/(0 - 1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1488, 5, -4, 679, -6, 10 in increasing order.\nAnswer: -6, -4, 5, 10, 679, 1488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96\/1*(-41)\/(1476\/(-120)) is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 70 (base 16) to base 13\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 194, 0, 0.03, 5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 125 at most as big as 1620\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 987983594 and 884?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 19\/4 of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 161 + -143. Let j = 18 - z. Solve j = 5*g + 4*k - 29, 5*g + 0*k = 5*k + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -4, -36, -112, -256, -492?\n\"Answer: -4*f**3 + 2*f**2 - 10*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -5  (b) -0.25  (c) -290\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.3  (b) 1.2835  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 8*f + 184 = 0. Let b be f\/(-115)*(-2 + -1). Are b and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 52 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeeee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7.03 - -8. Let g = -0.03 - u. What is the closest to -2\/7 in 5, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 + -8. Find the third derivative of -6*g**3 - 2*g**3 + 325*g**d - 297*g**2 wrt g.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1207473105 + -0.3.\nAnswer: -1207473105.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -0.3, 0, 2\/27, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/39)*x)\/x**(-1\/10) assuming x is positive.\nAnswer: x**(419\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7\/(-1) - (-142)\/(-28)*-8. Let w = 1196\/35 - x. Factor -w*n**5 - 3\/5*n + 6\/5*n**3 - 6\/5*n**2 + 3\/5 + 3\/5*n**4.\nAnswer: -3*(n - 1)**3*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u**3 - 45*u**2 - 25*u + 62. Let x be g(23). Let a be (4\/10)\/(1\/320). What is the highest common factor of a and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 5:57 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -89 plus -2.1523714?\nAnswer: -91.1523714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(70) + (sqrt(70) + -1*sqrt(70)*1 - sqrt(70)))*1)\/(1*(sqrt(160) + (1*sqrt(160) - sqrt(160)))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21150.0399 - -21159.5. Let f = s + -13.2732. Let j = 3.8 + f. Round j to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*y - 47*y - 37*y = -47957. What is the highest common divisor of 52 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 + (-26)\/(-32) + -2)*-2. What is the second smallest value in -0.1, -3, -25, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 2*y**2 + 4 + 5*y - 1 - y**2. Let z be h(-5). What is the third derivative of -3*x**z + 5*x**2 - 3*x**2 + 2*x**3 wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, -41, 5, -0.08, -0.53, -0.0421?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 32\/5 of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = s - 70, s = q - 0*s - 20. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57 divided by -57?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8137651.\nAnswer: 8137651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 + -5453?\nAnswer: -5455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -2\/17  (b) -4  (c) 0.2  (d) 3  (e) 2\/97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-1)*78\/12. Let o = 46 - u. Suppose -96 = -3*i - 2*i + 2*n, 5*n + 51 = 2*i. What is the remainder when o is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -0*v - 12. Let c be 3*(-2)\/v*6. Let h = c + -1. What is the remainder when 9 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -2*v - 52, -15*v - 4*m = -16*v - 20. Let x be 0 + 551*-15 - (-37 - v). What is x rounded to the nearest 100?\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 3*s**2 - 13*s + 29. Let q be u(6). Is 58 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6\/4)\/(33\/44). Suppose -v + 81 = -0*v + 4*r, j*v + 2*r - 132 = 0. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/(-2))\/(0 - (-3)\/(-8)). Let i(n) = -1. Let t(s) = s**2 - s - 4. Calculate p*i(l) + t(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w - 151 - 971 = 0. Calculate the remainder when w is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -898929910 - -0.075\nAnswer: -898929909.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-1))\/((-1)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 12, -134, -5 in descending order.\nAnswer: 12, 1, -5, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 3*w**2 + 26*w - 17. Let v(h) = 6 - 26*h + 17*h - h**2 + 3 - 5 + 2. What is 4*o(s) + 11*v(s)?\nAnswer: s**2 + 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 3477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7 - -6)*(4 - -1). Sort -22, -3, r, -2 in descending order.\nAnswer: -2, -3, r, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 18, 46, 74, 102?\n\"Answer: 28*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 109 = 129. Let s be 6\/(96\/(-4)) + g\/(-4). Let v = 0 + s. What is v rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d**2 + 5752360*d - 46019136 = 0.\nAnswer: -1438098, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1752329883 to 3 decimal places.\nAnswer: -0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*m + 2*m - 3*m)*(m + m - 10*m)*(125 + 6*m - 256 + 133) to s*m**3 + d*m + t + j*m**2 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/7, -4, 1\/8, -3 in ascending order.\nAnswer: -4, -3, 1\/8, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 75.6 + -76. Let m = 1.8 + -2. Which is the smallest value?  (a) m  (b) -8\/5  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -66 - -67. Sort h, -0.1, 3, -0.5 in descending order.\nAnswer: 3, h, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 138535.\nAnswer: -1\/27707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.5?  (a) 0  (b) -10  (c) -1\/3  (d) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -3*f. Suppose f*l = 2*l - 6. Suppose -38 = -l*s - 14. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -467*y**2 + 18198*y + 103. What is q(39)?\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4 + 6)*(-12)\/(-5). Solve -o + 0 = 8*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = b - 63. Let u(l) = -4*l**2 - 58*l - 7. Let f be u(-14). Let q(y) = y**2 + 3*y - 4*y - f + b. Give q(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.13 times 750?\nAnswer: -97.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 d, 1 f, and 1 c when four letters picked without replacement from dlmdbfc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 933.381 to the nearest ten.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 5:21 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 + 616bb4?\nAnswer: 616bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**2\/2 - 28785*q + 57573\/2.\nAnswer: -3*(q - 1)*(q + 19191)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 1, 3, 51, -1084, -1 in ascending order.\nAnswer: -1084, -1, 1, 3, 7, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2331, -3 in increasing order.\nAnswer: -3, -1, 2331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3226936 - 3226937.729921. Let a = 1.73 + g. Round a to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of -g**3\/6 - 3*g**2\/2 + 8*g. Let p be l(-6). Suppose p*f - 2*f + 4 = 0. Which is smaller: f or -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 1727*m**2 - 8*m - 24. Let u(k) = 3450*k**2 - 17*k - 54. Give 9*l(g) - 4*u(g).\nAnswer: 1743*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134 = 9*v - 37. Suppose 5*c = v - 14. Are -2\/23 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1489.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6358.659 less than -0.015?\nAnswer: -6358.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1647, 2333, 8953, 18207, 30089, 44593, 61713, 81443?\nAnswer: 103777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*l - 17*l + 18 = 0. Let r(j) = -5*j + 2. Let t(n) = -n + 3. Let b(v) = -1. Let i(g) = -5*b(g) - 2*t(g). Give l*i(d) - 4*r(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**2 + 430356*y + 860700.\nAnswer: 3*(y + 2)*(y + 143450)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 + 8. Let q = -172 + 145. Let b(z) = z**2 + 27*z - 1. Let v be b(q). Is d greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 - (-1 + 3))*(-13)\/26. Let o(s) = 3*s - 4*s + 4 - 4 + t. Let h(a) = -2*a - 5. Calculate -h(v) - 2*o(v).\nAnswer: 4*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 115\/24 and -59\/8360.\nAnswer: 25080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16896 and 25971.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 PM and 1:22 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 12*m - 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 26 divided by -26\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 34 - 101\/3. Let l = 5417 - 10837\/2. Which is the nearest to m?  (a) l  (b) 3\/5  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1255.576 and -0.08.\nAnswer: 100.44608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of 9*t**8\/56 + 5*t**7\/42 + 247*t**5\/10 + 2*t**2 + 2072*t. Find the third derivative of b(u) wrt u.\nAnswer: 3240*u**2 + 600*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - 0.1. Let c = 1.0489 - 0.0489. What is the closest to 0.1 in c, u, -2\/17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1729940 divided by 13?\nAnswer: 1729940\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of l**5\/20 - 2*l**4\/3 + 3*l**3\/2 + 9*l**2\/2 + 9*l. What is the remainder when j(7) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/x**1*x**(-2\/7)\/x*x)**(-15\/7))**(1\/10))**25 assuming x is positive.\nAnswer: x**(75\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - g - 4*g**2 - 110*g**3 + 111*g**3 + g**4 + 3*g to y*g + j*g**2 + h*g**3 + m*g**4 + z and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 3*y + 13 = 0, 21*f + 63 = 24*f - 8*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1173598.6 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 4*l - 2. Let j be z(3). Suppose -3*f - 2 = j. Let d be 6*2\/f*4\/(-3). Is d greater than or equal to 9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 37.1 and 87508563728.\nAnswer: 87508563765.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i**2 - 148*i - 105. Give y(-65).\nAnswer: 1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2177 is divided by 1084?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 15 = -4*y. Suppose -30 = -r - l, -78 = -y*r + 5*l + 36. Let u(i) = 21 + 81*i**3 + 0 + 12. Let m(a) = 5*a**3 + 2. What is r*m(z) - 2*u(z)?\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 8*h + 24 = 0. Suppose h*r - 4*u + 3 + 1 = 0, -r + u = 0. Let c be 3\/(-2)*(2 - r). Solve 0 = 4*s - w + 18, -5 = 3*s - c*w + 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k - 21. Let v be q(6). Let y be 25\/60 - (v\/(-12))\/3. Let x = 0.3 - -1.7. Which is the closest to -0.1?  (a) x  (b) -0.2  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - -2. Let r = 2 + x. Suppose -5*m + 35 = -r*m. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 2 q, and 1 p when four letters picked without replacement from pqcqqlllqllplppqql?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1152)\/(-252)*(-14)\/(-4). Suppose 223772 - 74892 = j*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 336  (b) -4  (c) 3\/2  (d) -118\/3  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -22*l**2 - 279*l + 2047. What is u(7)?\nAnswer: -984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2 and 3134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29 + 6. Let a = -22 - n. Solve m - a = 5*v, 0 = 2*m + v + 3*v + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 114 - 122 = 2*m, -2*m = s + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 3*g + 5*u, 2*u + 1 + 6 = 3*g. Let v(y) = 131*y - 122*y - 4 + 0. Let m be v(1). Solve c - z = 5 - g, 30 = 5*c + m*z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1110001100110101101101 (base 2) in base 14?\nAnswer: 6cc8c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ndnhdnnndndpn. Give prob of picking 2 d.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3428 by 788.\nAnswer: -857\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 46497413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3782 - 3434. Which is bigger: 695\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -116*f**4*m**3 - 46*f**2*m**3 - 2*f*m**3 + m**2 wrt f.\nAnswer: -2784*f*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -19303 and -4?\nAnswer: 77212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, -3, 0, 7, 18, 33, 52?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 k when three letters picked without replacement from {o: 1, k: 4, h: 5, z: 8}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4 + -4 + (-2)\/(-6). Let o = -3.954 + -0.046. Put 2, 0.5, r, o in ascending order.\nAnswer: o, r, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(1\/2)\/(g\/g**(-13)*g) assuming g is positive.\nAnswer: g**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/((-2)\/(-3)) - 231\/22. Let v be (9\/6)\/(1*(-18)\/y). Which is the nearest to v?  (a) -0.3  (b) 0.06  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 119 = 141. Suppose 3*b = -75 + 84. Suppose -328 = -b*z - 5*d + t, d = 2*z - 275. Calculate the greatest common factor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52, 80, 148, 274, 476, 772?\nAnswer: 1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35) + sqrt(105)\/sqrt(12) - sqrt(315)*1)\/(sqrt(125)*-1 + sqrt(125) - (sqrt(5) + 1*(sqrt(5) + 2*sqrt(5) - sqrt(5)))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 177014213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1077, 2805, 4533?\n\"Answer: 1728*c - 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4320\/(-405)*3*(-3)\/(-3)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15242338817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18348870 and 23241902.\nAnswer: 348628530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from ytkmwyt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6885 is divided by 1374.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6\/50027  (b) -34  (c) 1  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.9306977 to two decimal places.\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -3 + sqrt(275) + -3*sqrt(275) + 5*(-4*(1 + sqrt(275)) + sqrt(275)))**2.\nAnswer: 4080*sqrt(11) + 80051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*l - 4997114 = 10946192. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 + 14*c**2 - c + 11. Let x be v(-14). Suppose 6 = -s + 9. Solve 2*l = -s*l - x, -3*l = -2*o + 23 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4602463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -76254 (base 9) in base 7?\nAnswer: -300160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -11 + 8 - (-4 - -6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(4\/6) - (1 + -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 8*v - 139. Let n(p) = 5*p - 70. What is -4*j(w) + 7*n(w)?\nAnswer: 3*w + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9396565?\nAnswer: 5, 31, 60623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-41)\/(533\/182) - 475\/(-30)) + (-2)\/(-2).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -482, -1006, -1568, -2186, -2878, -3662, -4556, -5578?\n\"Answer: -3*y**3 - y**2 - 500*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2760055.5312 and -0.3.\nAnswer: 2760055.2312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6391 divided by -994.\nAnswer: 913\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = -7*r + 3*r - 16, -3*r = -w + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.7 + -4.7. Let h = -22 + 17.5. Let p = f - h. Which is the biggest value?  (a) 2\/7  (b) p  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1101 - -1124. What is the closest to 0 in 1\/5, 4, 0.3, q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c**3\/4 + 237*c**2\/4 + 1011*c\/4 - 1245\/4 = 0. Calculate c.\nAnswer: -5, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 7*t - 174 = 0. Let l = -53 - t. What is the remainder when l + -1 + (3 - -65) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*h + 2 - h - h**3 - 15*h - 11*h + 185*h**2 in the form g + l*h**2 + f*h**3 + d*h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -111\/4630 and 9\/5093.\nAnswer: 50930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -388, 5, 48438.\nAnswer: -388, 5, 48438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103913 is divided by 51956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -0.21, 5\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/2*6\/60*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -11100101011111001 (base 2) to base 15\nAnswer: -24c32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = h - 4*u, 2 = 2*h - 2*u - 4. Solve 0*t = -4*t + h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -56 - -51. Let s = n - -5.26. Let r = -0.2600304 + s. Round r to 6 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 103*u**2 - 25*u + 8. Let g(o) = -22*o**2 + 5*o - 2. Let p(y) = 14*g(y) + 3*t(y). Let d(c) = c - 1. What is -4*d(m) - p(m)?\nAnswer: -m**2 + m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((((-4)\/(-2))\/2)\/((-6)\/(-99)))\/((-29979)\/(-19986)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 8 = 6*t. Suppose 11 - 3 = t*k. Calculate the highest common factor of 16 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 514379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 150429613?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 521.26 - 20.96. Let j = z - 500. Which is the nearest to 0?  (a) -0.12  (b) j  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19450 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 224 and 2464?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 5, -29, 1, -0.02, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(50\/(-64))*((-741)\/38 - -17)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 94870934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 460442.299997 - 460442. Let d = -0.5 + 0.8. Let n = q - d. Round n to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vivivii. Give prob of sequence vvvi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59 + 59 + 0*t - 2*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2453235 and 5330?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 104434 + 401420 = 3*p, -5*f + 2529257 = 2*p. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 203302300 + 11?\nAnswer: 203302311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 5*k - 280 = 0, -5*l - 2*k = -l - 226. Let c = l - 10. Suppose -4*q = -q + 2*z - 47, -z + 83 = 5*q. Calculate the remainder when c is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 447839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -79 + 22572\/285 - 278\/90.\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.8222 + 3.1778. What is the third biggest value in -0.2, -1\/3, h, -12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26794742 is divided by 487177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82176 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, a: 2}. What is prob of sequence aa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 PM and 6:54 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 - 40011\/(-2)*(-164)\/(-123) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89701?\nAnswer: 271, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -206.\nAnswer: 82.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(26)\/sqrt(2) + 3) + 1 - 5*sqrt(26)\/sqrt(1250).\nAnswer: -26*sqrt(13)\/5 - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + -2 - -6 - -6. Let o(b) = -3*b - 2 + q - 7 + 2*b. Let c(t) = -12*t - 4. What is -c(d) + 4*o(d)?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Total of -94 and 126.7.\nAnswer: 32.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 4*d - 1745, -5*o + 107 + 342 = d. Let b = 496 - d. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 6912 + 1870. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 2*i - 388, -3*i + 385 = -13*b + 1653. Let a be 35\/(-2)*12\/(-15). What is the greatest common divisor of a and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.043 at most as big as 354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**4 + 6*s**3 - 18*s**2 - 54*s.\nAnswer: 2*s*(s - 3)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 + 1 + -1)*83. Let g = p + 63. Let s = g + 229. Calculate the greatest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c**3 + 3*c**3 - 3*c**3 + 47 + 6.\nAnswer: -c**3 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9.1 - 0.9. Let y = 9.922 + a. What is y rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:56 PM and 12:45 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2 - 2*z + 8. Let w(h) = h. Let g(b) = u(b) + 3*w(b). Calculate the remainder when g(-6) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of -p**3\/3 - p**2\/2 + 3*p. Let w be b(-3). Solve -w = g - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 798341.7 millennia?\nAnswer: 798341700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 2*f**5\/13 + 178*f**4\/13 - 6882*f**3\/13 + 65790*f**2\/13 - 10800*f = 0?\nAnswer: -120, 0, 3, 13, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2285  (b) -1  (c) -3  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(57)\/sqrt(3)*6 + sqrt(190)\/(sqrt(490)*6).\nAnswer: -1007*sqrt(19)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 - 14 = 4*a - j, 10 = 5*a + 2*j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06 minus 105538.35?\nAnswer: -105538.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 - (5 + (1 - 0)). Let h be (14 + 1)*(-1)\/f. Solve -h*n = -10*n - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - -1. Let n = u + 2. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65340407 to the power of 1\/3, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -168 and -528129882848?\nAnswer: 528129882680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -62504*h**2*s**3 - 5*h**2*s - 14103*h*s + s**2 - 2*s wrt s.\nAnswer: -375024*h**2*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 195192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide ((-6)\/(-5))\/(10\/1425) - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirty-one halves of a decade?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 34739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 12 and -92.\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4726 - 4724. Solve -16\/9 - 4\/3*w**a + 2\/9*w**3 + 8\/3*w = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9435 times 0.418\nAnswer: -3943.83","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: 42 (base 12) to base 13\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10\/1451 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16 and 58818.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96*p = 33*p + 441 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 - 9. Sort z, -2\/7, -0.3 in descending order.\nAnswer: z, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14928 = -385*u + 11078 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (-7 - -10 - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 23*b + 11. Let j(a) = -3*a. Determine j(n(p)).\nAnswer: -69*p - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 73897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 - 4*p - 8. Let j be n(3). Differentiate -15*a + 40*a**4 + 2*a**4 + 20*a**4 - j*a**4 + 17*a + 166 with respect to a.\nAnswer: 220*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61602.17 decades to years.\nAnswer: 616021.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 divided by 6?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8754 and 78786?\nAnswer: 78786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -103708 (base 11) to base 6\nAnswer: -3320015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-30)\/24)\/((-2)\/(-8)). Let u = n - -10. Solve 5*a**2 + 11*a**2 + a - 5*a - 11*a**4 - u*a**3 - 14*a**4 = 0 for a.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 2*k = -4*h + 18, -2*k + 16 = 3*h. Calculate the lowest common multiple of h and (-6)\/(-1) + -1 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -28 + l - 35 + 63. Let q(d) = d**3 - 3*d**2 - 4*d. Let p be q(4). Calculate r(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -12*w**3 - 56*w**2 - 152*w - 88. Let q(o) = -8*o**3 - 38*o**2 - 101*o - 59. Let s(y) = -5*d(y) + 8*q(y). Suppose s(k) = 0. Calculate k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 = -5*u + 2*u + h, 5*h + 105 = -5*u. Let l(b) = -3*b - 18. What are the prime factors of l(u)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-10)*(14700\/(-63))\/(-35)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 3*u - 45, 0 = 2*o + 4*u - 12 - 30. Suppose 1470 + 825 = 5*r. What is the greatest common factor of r and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 64*m - 56. Let j be q(-22). What is the hundreds digit of 22\/(-33) - j\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-104)\/78*2\/10*-3. Solve -y*l**2 + 0 + 0*l + 2\/5*l**3 = 0 for l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16 + 18. Suppose h*a + 20 = 6*a. Suppose -5*y - 37 = -s - y, -3*s + a*y = -111. List the prime factors of s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -371\/20 - -43\/60. Calculate the common denominator of m and -145\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70368*x + 68973*x = 9765 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 - 8*r + 10. Let u = 10 - 3. Let p be a(u). Solve -v = v + f + 4, -8 = 2*v + p*f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -84415, -84667, -85087, -85675, -86431, -87355?\nAnswer: -88447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6  (b) -2\/7  (c) -0.2  (d) -2\/5  (e) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 95 - 18. Suppose -2*r + 11 = -3*v - 49, -104 = -5*r - 4*v. Let m = -4 + r. What is the remainder when o is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than or equal to 173\/423102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 30 + -12. Solve 3*l = -3*a - 0*a + g, 4*l = 2*a + 18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1899 - 0.3899. What is the fourth smallest value in 1\/3, r, 45, 1\/11?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -958, -1049, -1140, -1231, -1322, -1413?\nAnswer: -1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -34 - -15. Let h = y + 25. Let t = h + -6.0023. Round t to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -8*l**3 + 0*l**2 + 0*l**3 + 128 + 1927*l - 1863*l + 2*l**4 - 24*l**2 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2563193*m*s - 6113862*s with respect to m.\nAnswer: 2563193*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = m - 44. Suppose 50*c + 1697 = 5897. Suppose -2*q = -c - m. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 254*a**3 - a + 54 wrt a.\nAnswer: 1524*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24 + 24.1. What is the third biggest value in 0.2, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 417, -0.77, -1 in descending order.\nAnswer: 417, -0.77, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 581 + -551. Let g be 32\/18 + 2\/9. Solve -f = -x - 5*f - 15, 4*f + w = g*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 - 9*k**2 - k - 7. Let n be 3 + 8\/(-4) - 20\/2. Let r be a(n). Solve -3*f + 5*j - 19 = 0, -2*j + 13 = -f - r*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*b + 2*j - 98 - 119 = 5*j - 3, -b = -2*j + 79 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1566701812?\nAnswer: 2, 13, 59, 257, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 125672 divided by 178\nAnswer: 62836\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 u when three letters picked without replacement from uhurrhhu.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 39*k + 104*k + 78*k in the form d*k + p and give d.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 PM and 1:46 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 567 and 4779.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -2, 0.5, 0.2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 112175365 to the nearest integer?\nAnswer: 10591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - q)*(-q + q - 2*q**2)*(3*q**2 - q**2 + q**2) + (q**3 + 3 - 3)*(-q**2 + 0*q**2 + 2*q**2).\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 18606530 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-31*l**2 - 25*l**2 + 47*l**2 + 8*l + 3)*(-3 - 3*l - 4 + 9) to the form z*l**2 + j*l**3 + c + m*l and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 39\/(-195)*(-5)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 + 4*l**2 + 4*l + 3. Let g be p(-2). Suppose 0 = 4*f - b - 9, 2*f + b - 2*b = 3. Factor -f*u - 3*u**2 - g*u - 2*u + 2*u - 3.\nAnswer: -3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 801, -5, -2 in ascending order.\nAnswer: -5, -2, 801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 - 8*p - 7. What is a(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13286 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28 and 360?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1512 and 531972.\nAnswer: 3191832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2829937369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/2, 2865, -5, -10.\nAnswer: -10, -5, -5\/2, 2865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -53515.310035 - -53532.31. Let s = -17 + r. What is s rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 23960379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 2*h + 100, -2*g + 3*h = -241 + 55. What is the highest common divisor of 32 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (2 - -15)) + 5505 + -5445\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11\/820212 - -1039527535\/3007444. Let r = -2\/14013 + 4825145\/14013. Let l = r - c. What is the common denominator of 91\/8 and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 + 15. Suppose 3*i - 3*j + 8 = 143, 182 = u*i - 5*j. Suppose -5*x + i = -12. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3808 + 18362. Let p = -14448.71 + q. Let o = p - 104. Round o to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -5, 1 in decreasing order.\nAnswer: 13, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -374 - -515. Calculate the highest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 540111739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 22d + -b1?\nAnswer: 16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5 + 3)*(-f + 2 + 5*f - 2*f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -2*s**3\/3 + 10358*s**2\/3 - 20698*s + 31038 = 0.\nAnswer: 3, 5173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = -4*z + 3*x + 12, -3*x = 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11101011111110 + 11?\nAnswer: -11101011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3388 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 + 10*u**2 + 7*u - 14. Let g be q(-9). Suppose l + 171 = g*l + 3*y, -4 = -y. Suppose 0 = 3*h - 8 - 4, -l = -n - 2*h. Which is smaller: 44 or n?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -10b47a3 - -136?\nAnswer: -10b4669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**2. Let i(r) = -44*r + 94. What is i(w(l))?\nAnswer: 44*l**2 + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbaaaaabbbaba. Give prob of sequence bbb.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15*18\/(-20)*((-120)\/(-18))\/(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 310972442?\nAnswer: 2, 11, 14135111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15\/(900\/1065) - (-2)\/8 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -aa (base 12) to base 5\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -8198, -32868, -74012, -131630, -205722, -296288?\n\"Answer: -8237*u**2 + 41*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 7:18 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 51.926  (b) -3  (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(204)\/(sqrt(12) + sqrt(60)\/sqrt(5)) + sqrt(136)\/sqrt(8)*-4.\nAnswer: -7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.8  (b) -10  (c) -2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1709 - 1584. Solve a*s + 90 = 110*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange n + 10*n + 1 + 28*n + (4*n + n - 3*n)*(0 + 3 - 1) to r + v*n and give v.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4127 and -0.4.\nAnswer: 1650.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**10)**(2\/35)\/(x**(3\/10)\/(x*x\/(x**(18\/7)*x))) assuming x is positive.\nAnswer: x**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1670 + 7504331.\nAnswer: 7506001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -11*k + 6*k - 2*w, 5*w - 25 = 8*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w - 3*d - 19, -4*w - 12 = 4*d - 0*d. Let j(u) = -7*u - 44. Let c be j(-8). Let i = c - w. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 28 = h - 3*p, -p = 5*h + 70. Let z(y) = -2*y**3 - 13*y**2 + 8*y. Let j(x) = -x**3 - 6*x**2 + 4*x. Give h*j(o) + 6*z(o).\nAnswer: o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**2\/4 - 112635*o\/4 - 2440350.\nAnswer: -5*(o + 87)*(o + 22440)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 58 + (-9 - -2 - -21 - 44)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4010 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 2 + 61*g - 60*g)*(g - g + 1 + g)*(4*g + 2 - 3 + 2) in the form y*g**3 + j*g + r + l*g**2 and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -4, -2.8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/(-12)*-6)\/(410\/30 + -11). Let s = 393\/247 - 20\/13. Which is the nearest to -2\/9?  (a) s  (b) f  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 - 2*p**2 + p + 6. Let f = 1 - 0. Calculate the remainder when 1\/f - -16*1 is divided by v(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 12 = -2*j, -2*b + 16 = -4*j + 4. Let q(a) = 2*a - 4. Let g be q(3). Let y = b - g. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000444 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28.2 + -28.199554. What is i rounded to five dps?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2568 and 1008096.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*f**4 - 245471*f**2 + 13630*f - 54 wrt f.\nAnswer: -36*f**2 - 490942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - -2. Let f = -2.2 + -0.3. Let l = f + 3. What is the closest to n in l, -2\/5, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1836 by -153.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 11, z: 3}. What is prob of picking 3 z?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10998 - 1616. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (-18 - 0 - ((-1 - (-9 - -9)) + 11))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -173505 = -12*l - 4473. Let k = l - 42266. Round k to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6840256751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -71640 + 5?\nAnswer: -7163b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 179*f - 469*f - 200*f.\nAnswer: -490*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 10783, 9090, 7397, 5704, 4011?\n\"Answer: -1693*q + 12476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2 + 2)*(3*x**3 - 2*x**2 + 2*x**2) + 9*x + 4*x**3 - 5*x**3 - 17*x in the form a*x**2 + s + j*x + r*x**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68840586 is divided by 22519.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes before 12:05 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 4*h - 3. Let f(d) = 17*d - 14. Let b(g) = -4*g - 10*g + 3*g + 9. Let v(p) = -8*b(p) - 5*f(p). Suppose 0 = y - 0*y + 2. Determine y*l(x) + 3*v(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-4\/7)\/o*o**(-12)*o**(2\/39)*o**(-13)*o assuming o is positive.\nAnswer: o**(-6967\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - 2. Let v = 1 + -0.9. Which is the nearest to 0.3?  (a) v  (b) t  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 PM and 11:12 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1113, 1112, 1111, 1110, 1109, 1108?\n\"Answer: -k + 1114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 9:52 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -25*n**2. Suppose -8*g + 5*g = -33. Let x(o) = -11 + g + o**2. Calculate x(i(a)).\nAnswer: 625*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1530 - -1069. Let o = 460.99999789 + d. What is o rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -4 + 0 + -1 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*b + 2*v, 0*b + 5*b = 4*v + 32. Suppose 2 = -q - 2*k, -q - k = -b*q + 15. Calculate the least common multiple of q and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes before 6:24 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 10110001 (base 2) to base 15\nAnswer: bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -163876 + 163876 - 521*d to k*d + x and give k.\nAnswer: -521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 11 + -59?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1567847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -2*u**3 - 118*u**2 - u - 164. Give x(-59).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, w: 1, c: 1, z: 1, e: 4, d: 6}. Give prob of picking 1 z, 2 e, and 1 c.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1053) + 2)*-3)**2*-4.\nAnswer: -38052 - 1296*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-2\/15)*n)\/n)\/n)\/(n\/(n\/n**0)) assuming n is positive.\nAnswer: n**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2167 = -4*t + 1925. Calculate the highest common divisor of 33 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 5, g: 5, b: 2, e: 1, p: 1, i: 5}. Give prob of sequence gipg.\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - (0 + 3 - 7 - -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 - k**2 + k + 7. Suppose 0 = 2*l + 94 - 94. Give y(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:31 PM and 6:46 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 416363 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from {x: 18, l: 1}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l + 1. Let n(u) = -u - 1. Let w(t) = -n(t) - 2*p(t). Let c be w(-5). Let h be (-10 + 0)\/((-2)\/c). Solve -g + h = 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4173, 10318, 18455, 28584, 40705, 54818, 70923?\nAnswer: 89020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/3 - (-35)\/(-3). Let j = 22 + s. Suppose 5*c - 315 = -4*v, 4*v = 7*c - 5*c + 322. Calculate the greatest common factor of j and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14519017 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than 143319874?\nAnswer: 143319875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7.953 - -0.047. Let k = f + 50. Let j = 58.1 - k. Which is smaller: -3 or j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 175 - 84. Suppose -o + 127 = 6*b. Sort b, -10, 5 in decreasing order.\nAnswer: b, 5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4703, -4702, -4691, -4664, -4615, -4538?\nAnswer: -4427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4*c - 2*c - c)*(-2 + 3 - 2) + 6 - 2*c - 6 - 18*c - 2*c + 0*c)*(1 - 1 - 2*c + (-3*c + 4*c + 2*c)*(-1 + 1 - 1)).\nAnswer: 115*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -447f - 4?\nAnswer: -4483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1380\/7 or -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 20.91 + -21. Let v = 12.31 + -17.31. Which is the second smallest value?  (a) v  (b) -2\/15  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2193 or 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -1397*j**2 + 3*j. Let t(f) = 2*f + 244. Let x(s) = 61. Let q(g) = -t(g) + 4*x(g). What is q(h(w))?\nAnswer: 2794*w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a + 4. Let d be t(-6). Let o = -1499 - -1499. Sort o, -3, d.\nAnswer: -3, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 7*r**2 + 9*r - 9*r**2 - 12*r + 2 + 16*r. Determine j(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z**3 + 4*z**2 - 267404*z + 267404*z.\nAnswer: z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -33155\/7 + 4737. What is the closest to 4 in 7\/2, n, 2, 0?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g + 3. Suppose 5*y + 3*z + 32 = 2, y + 2*z = -6. Let s be (-28)\/(-6) + y\/27*3. Give t(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.3 - 0.2. Let i = 481\/8 - 60. Let g = -3127\/4 + 782. Which is the closest to u?  (a) 3  (b) g  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -188 = -2*c + d, 4*c - 386 = -2*d - 42. Calculate the smallest common multiple of 154 and c.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -68579 divided by 1.\nAnswer: -68579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*j**2\/2 - 2985*j + 240435\/2 = 0. What is j?\nAnswer: -1233, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -2. Let f = -267.78 + 319.7. Let u = f - 0.92. Which is the second smallest value?  (a) u  (b) l  (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 906 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from brggjj. Give prob of sequence jgrg.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-46)\/(-14) + (-4)\/14. Suppose -12*i - 10 = -17*i, p = -3*i + 402. Let s = p - 376. Solve 3*y = 5*k - n, 0*y = 5*y - s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -2*a**4\/17 + 8*a**3\/17 = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.06 - 4.94. Let o be (-18)\/(-8)*76\/57. What is the smallest value in -1, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -53629, -68606, -83573, -98524, -113453?\n\"Answer: r**3 - r**2 - 14981*r - 38648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 - 4*s**2 - 2*s. Let g be f(4). Let c(z) = -z**3 - 7*z**2 + 7*z - 6. Let i be c(g). Suppose i*u = 10 - 2. Solve -u = -2*l + l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jeyycyjqqejjydyqjdjj. What is prob of picking 1 j, 1 d, and 2 y?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1671*n*u**4 - 36*n*u**2 + 22*n*u - 2*u**6 wrt u?\nAnswer: 40104*n*u - 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*q**2 - 7*q**2 + 3*q**3 + (-1 + 3 - 3)*(-7*q**3 + 11*q**3 + 5*q**3) + (21*q + 6*q**2 - 21*q)*(-5*q + 0*q + 3*q) + 0*q + 0*q + 2*q**3.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 66, 129, 192, 255, 318, 381?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -14009 + 8c?\nAnswer: -13c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 5*t + 3. Suppose 2*v = 1 + t. Suppose 2*n + 16 = -2*n. Which is the closest to v?  (a) n  (b) -0.3  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, 3\/76, -2\/3, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18680*l - 18687*l = -21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -55\/4 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -107 - -104. Suppose 0*z + 11 = z. Let a(m) = 1 + 7 - z - 7*m. Give a(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2420268 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/(-2))\/((-9)\/162). Let i = -5 - q. Suppose -v + i = -6. 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: What comes next: -44204, -88244, -132284?\nAnswer: -176324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 43, 6, -49, -116, -189, -262, -329, -384?\n\"Answer: q**3 - 15*q**2 + q + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - h - 5 + 2)*(-18 - 2 + 8).\nAnswer: 12*h + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -5*r - 2 - 8, -8 = 4*r. Solve q + 5 = 3*w - d, -3*q = -3*w + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - -1. Let u(p) = 6*p + 2 - g*p - 3. Let w be u(2). What is the highest common factor of w and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4532 and 1770931118?\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 6, -135, -21\/8, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -24 - -53. Suppose -b = 2*p - 243 + 13, 118 = p + 2*b. What is the remainder when p is divided by n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14048957 to the power of 1\/2, to the nearest integer?\nAnswer: 3748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54 + 9*u - 20 - 20 - 14.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r and 1 s when four letters picked without replacement from {q: 1, s: 3, d: 3, r: 9, b: 2, j: 2}.\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.2 + 0.2. Let s be 92\/(-414) + 1\/(-9). Which is the closest to 2\/3?  (a) p  (b) s  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 49*(1 - 0) + 14\/(-7). Let q = o + -45. Suppose 3*g = -5*d - 14, -g - 5*d - 24 = -3*g. Solve 2*p + 0*p + z = 2, -q*p = g*z - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*q**2 + 4*q**2 - 38*q + 5 + 38*q to the form x + h*q**2 + m*q and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 8, d: 5, q: 3}. Give prob of picking 1 q and 1 d.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of -2111*n**5\/60 + n**4\/12 + 9*n**2 + 19. Let j(o) = -2*o. Determine j(a(z)).\nAnswer: 4222*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 227 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*d - 9*d - 6*d - 27*d to w + k*d and give k.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, 3 in decreasing order.\nAnswer: 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -826 times -6?\nAnswer: 4956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9\/(-27) + (-10)\/(-3). Suppose 22 = 4*m + d*t - t, 6 = 2*m - 4*t. Which is bigger: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1.7, 34, -0.37, 3\/2, 0.2?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -274967, -1099679, -2474207, -4398557, -6872735, -9896747, -13470599, -17594297?\nAnswer: -22267847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(-540)*-42)\/((-1029)\/14112)?\nAnswer: 96\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3283, 3, 4, -5, 0, 2 in increasing order.\nAnswer: -5, 0, 2, 3, 4, 3283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2074\/1098*(9\/1)\/((-73)\/73)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-12)\/8 + 18\/4. Suppose j*a + 46 = 4*a. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.99 + 4.99. What is the third smallest value in -2, 13, z?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -10 + 6 + 2 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -232, -942, -2126, -3784, -5916, -8522, -11602?\nAnswer: -15156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -11. Suppose 5*f - 20 = 0, -2*f = 5*u - 3*u - 48. Solve -u = -j*v, 3*b + 2*v + 8 = 3*v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = 5, 0*a = -3*h + 2*a - 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -18. Calculate the highest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 1039*a**2 + 6*a - 7. Let f = 506 + -505. List the prime factors of t(f).\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 8014?\nAnswer: 24042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/6 - 488\/(-24). Let m be -45*2*q\/12. Let u = -24 - m. What is the highest common factor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1707)\/2*((-900)\/(-1500))\/(9\/(-10)). Which is the biggest value?  (a) x  (b) -0.2  (c) 8  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2794 - -2814. Let o be (-3)\/2*8\/(-3). Suppose o*x - 2*f + 222 = 5*x, 2*x + 5*f - 445 = 0. Calculate the greatest common factor of w and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 58\/335 and 29\/30.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9309.229 litres?\nAnswer: 9309229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + 12*i**2 - 13*i + 16. Let y be b(11). Let v(l) = -5*l - 18. Let c be v(y). Solve -5*d = z + 7, d + 4*z = -3*d - c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -13*i**2 - 47*i + 19. Determine t(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 9 - 11 = 4*d, 0 = -3*v - 5*d + 2. Suppose 2*w - 16 = 4*p + 20, 5*w = v*p + 90. Calculate the highest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 280646, 280645, 280644, 280643, 280642?\nAnswer: 280641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 + -2. Let t = x + -3. Let b = -39\/5 + 37\/5. Sort b, -6\/11, t.\nAnswer: -6\/11, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 126*w**2 - 134?\nAnswer: 252*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*f**4 - 224409*f**3 + 19*f**2 + 2359*f - 32773 wrt f.\nAnswer: 24*f**2 - 1346454*f + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -1741*d + 10438. Give m(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 208*v. Let w(l) = -1148*l. Let h(j) = -3*j. Let d(b) = -369*h(b) + w(b). Determine f(d(g)).\nAnswer: -8528*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35 (base 8) to base 4.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1256819363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 96?  (a) 1\/2  (b) -4\/3  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4224 divided by -8.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 238196 and 3620?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10*((-27)\/6 + 4). Let s be r*(-3 + 3 + 1). Let u(v) = 2*v**2 - 6*v + 12. Let h(c) = 5*c**2 - 18*c + 33. Let y(q) = -3*h(q) + 8*u(q). Calculate y(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1852815?\nAnswer: 3, 5, 149, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes before 3:42 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -7*g - 1. Determine t(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 2*j**3\/13 + 4794*j**2\/13 + 132894*j\/13 + 544870\/13 = 0?\nAnswer: -2369, -23, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 657127.9 meters to kilometers.\nAnswer: 657.1279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, m: 4}. Give prob of picking 2 m.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1\/3, -3\/4, -14.1, 4, -44?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 0 = -4*t - 5, -d - t + 5 = 0. Suppose w + 19 = 2*w + y, -2*w + d*y = -31. Calculate the remainder when 69 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61494385 a multiple of 671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1668050 and 21022.\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (228*(-167)\/(-1170837))\/((-3)\/((-9)\/10))?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -43*o**3 + 17*o**2 - 17*o. Let d = -2564 - -2558. Let h(i) = -14*i**3 + 6*i**2 - 6*i. Determine d*y(s) + 17*h(s).\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7401 + 4383. Suppose 0 = 17*s - w - 9619. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*n - 13 - 317. What is the hundreds digit of (-3105)\/n + 6\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 2225947217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1655 - -0.4655. What is the biggest value in z, -1\/4, 52\/11?\nAnswer: 52\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 + -8. Let s = 1 - d. Suppose -3*q + 15 = 0, 2*k - k - 4*q + 20 = 0. Which is the closest to 0.1?  (a) 1\/6  (b) k  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23 + 40. Let g(b) be the second derivative of b**3 - 7*b**2 - 9*b. Let k(v) = -2*v + 5. Give d*k(t) + 6*g(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2222213 - -2001444?\nAnswer: 4224212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = x - 2*o, 0 = 2*o - 1 - 7. Suppose -8*i + 28 = -x*i. What are the prime factors of ((-21)\/i)\/((-3)\/86)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.1 and 5099.\nAnswer: 5608.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 - 6. Suppose 2*w + 1 = b. Suppose w*g - 100 = -g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 799\/578*-1 + (-24)\/(-16)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47\/((-799)\/(-17))*-17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1.1, -0.3, 0.05, 2\/13, -0.5, -5\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u**3 + 0*u**3 - 3*u**3 + 2*u**3 + 0*u**3 - 3*u**3 + (3*u**2 + 2*u**2 - 6*u**2)*(2*u - 3*u + 2*u).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 193913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 = -10\/7451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wvnouuvuuwvwwuv. What is prob of sequence nww?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1336349153.71+2\nAnswer: 1336349155.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 46399842, 92799700, 139199558, 185599416, 231999274, 278399132?\nAnswer: 324798990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 172434 by -57478.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (5 + (-378)\/60)) + 506\/3080*266.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -91, -83, 3, 161, 385, 669, 1007?\n\"Answer: -g**3 + 45*g**2 - 120*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 + 10*n - 1. Let k be o(9). Calculate the greatest common divisor of k and 316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107948?\nAnswer: 2, 26987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26 and 651599?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -5*w + 301. Calculate the remainder when w is divided by 15\/10*-2 + 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1107\/243)\/((-2)\/(-6)) + 1\/3. Let j(o) be the first derivative of 0*o**2 + 0*o + a + 5\/3*o**3 - 5\/4*o**4. Factor j(u).\nAnswer: -5*u**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/6)\/((-28)\/924). Let z = 5 + -1. Suppose l = -4*v + 5*l + 328, -405 = -5*v + z*l. What is the greatest common divisor of y and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197 is divided by 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -6534\/5 - 2\/5*i**3 - 138\/5*i**2 - 2574\/5*i = 0. Calculate i.\nAnswer: -33, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 586748 = -2*c - 586740, 2*c = -5*a + 36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 5964 + 1577*c - 3161*c + 5487 + 1582*c as h*c + o and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -23*m - 54. Give n(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h = 6*h + 5*m + 72, 4*h + 3*m - 72 = 0. Calculate the highest common factor of h and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18 + 4*z**2 + 18)*(0 - 2 - 1)*(136*z + 142*z - 287*z).\nAnswer: 108*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of ((-17)\/(-2))\/(1\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 3*g**3 + 4*g**2 + 5*g. Let j(o) = -o**3 - 3*o + 1. Let l(z) = -c(z) - 4*j(z). Let b(n) = -n**2 + 2*n - 1. Determine 7*b(v) - 2*l(v).\nAnswer: -2*v**3 + v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 25*f - 110*f + 29*f + 26*f + 32*f + 157. Calculate the remainder when m(3) is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f + f + 52*f**3 + 95*f**3.\nAnswer: 147*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 4*i + 24 = 0. Suppose -2*h = 5*d - 6*h - 46, i*h = -5*d + 54. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.135 and 25.3.\nAnswer: 25.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -152 in -1\/6, -15, 0.1, 45, 0.2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -67, -132, -199, -268, -339?\n\"Answer: -w**2 - 62*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 73528326 and -1003.\nAnswer: 73527323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8146973?\nAnswer: 587, 13879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.9 + 1.5. Suppose n - 6*n + 20 = 0. Put n, v, 5 in increasing order.\nAnswer: v, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -58*k**3 + 35*k**3 + 0*k**4 - 3*k**4 + (6 - 1 - 2)*(-3 + 3 - 4*k**4).\nAnswer: -15*k**4 - 23*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 12:04 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.159 and -0.5539.\nAnswer: 0.0880701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11010 + -1010011?\nAnswer: -1101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 4690.04mm?\nAnswer: 4690040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -19, -2, -6, 9 in increasing order.\nAnswer: -19, -6, -2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4626 = 365*f + 149*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -661, -1413, -2165?\n\"Answer: -752*d + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1336861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -8294185 divided by -5\nAnswer: 1658837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, s: 3, y: 7}. Give prob of picking 1 k and 1 y.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.73, -249, -0.4?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 688.8844ml?\nAnswer: 0.6888844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -63  (b) -1.966  (c) -1  (d) -0.1  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10660 and 3640.\nAnswer: 149240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 9791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.2 + 2.385. Let t = -0.085 + k. Let z = 3 - 7. What is the biggest value in t, z, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52965 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 71.78875 milligrams in kilograms?\nAnswer: 0.00007178875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -t + 43, -2*t + 6*k - 2*k + 104 = 0. Let n(z) = -46*z + 4*z**2 + t*z. Let g(f) be the third derivative of -f**4\/12 - 2*f**2. Give n(g(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 1 - 72 - (78 - (-119 - -200)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/22 + 20\/11. Let q be 2*z*(-3)\/12. Let k = q + 4. Solve k*s - 4*x - 3 = -0*x, 3*s - 6 = 5*x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of 6*k**3 + 930. Let s(a) = -70*a. What is s(x(y))?\nAnswer: -1260*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35086?\nAnswer: 2, 53, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:46 PM and 6:38 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 3*o + 2 = -13, -3*i = o + 5. Suppose 2*u = -i + 4. Suppose 10 = 2*b + 5*f, -7*b - 4*f = -u*b - 25. Solve b*w - 4*w + 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*d + 2*t - 3 - 3, 24 = -57*d + 53*d + 5*t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w\/w**2)**(3\/5)*(w**(1\/4))**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2332539.\nAnswer: 3, 11, 23561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4662, -4693, -4736, -4791, -4858, -4937, -5028?\nAnswer: -5131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 + 18. Let k be t(0). Let i = 1 - k. Let h = 27 + i. What is the highest common divisor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-1)*6*3\/63?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the first derivative of 3*g**2\/2 - 30. Let k(o) = 2*o**2 + 18. Calculate k(a(s)).\nAnswer: 18*s**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2658*w**4 + 2*w**3 + 15122*w**2 - 6*w.\nAnswer: 63792*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.77 or 35?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -8*b**3 + 8*b**2 - 5*b + 31. Suppose 128 - 8 = -12*z. Is c(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -110*d**2. Let p(b) = -4*b**2 + 2*b - 3. Let t(i) = 31*i**2 - 18*i + 27. Let v(l) = 18*p(l) + 2*t(l). Determine n(v(h)).\nAnswer: -11000*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1067 + -717. List the prime factors of t.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/(i*(i*i\/(i\/(i*i\/(i\/((i**(-2\/21)\/i)\/i)*i))))\/i))\/i*i*i**(2\/13))**(-2\/5) assuming i is positive.\nAnswer: i**(-1774\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -3*s - 2*c, s - 6 = 2*c - c. Suppose 0 = -6*i - 2 + s. What is the highest common divisor of i and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, e: 9, g: 2, w: 8}. Give prob of picking 1 h and 1 w.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= -7140\/61877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (10 + -8 - 8) + 1 - -9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -9*y - 2*d + 30, -13 = 3*y - 5*d. Let s(b) = -5*b - 63. Let x be s(-19). Suppose 29 = -3*m + x. What is the highest common divisor of y and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3445, 3446, 3447, 3448, 3449?\nAnswer: 3450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 - -8. Suppose -35 = -15*c - 35. Let s be c\/(-1 - -4)*12\/12. Put p, -6, s in descending order.\nAnswer: s, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 51 + 11*w**3 - 90 + 45 + (-4*w**2 + 5*w**2 + 0*w**2)*(-w + 5*w - 3*w).\nAnswer: 12*w**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d54 + 1?\nAnswer: -d53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*m**3 + 9*m**3 - 3*m**2 - 14*m**3 wrt m.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -469*q**2. Let k(i) be the third derivative of -i**5\/30 + 105*i**2 + 1. Give k(r(y)).\nAnswer: -439922*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12018677*d**5 - 13239903*d**2 wrt d?\nAnswer: -721120620*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -696, -471, 4072, 16341, 39744?\nAnswer: 77689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/6543 and -67\/47982.\nAnswer: 143946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*o, -3*o + 8 = -2*i - 6*o. Solve -i*r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18898607.906 - 18782130. Let h = 116369 - q. Let v = h - -109. Round v to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7839151 centuries to years.\nAnswer: 78.39151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/15 in -3\/7, -1, -12, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s - 13*s - 3*n = -6, -2*s - 3*n = 0. Solve -10 = s*j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 502202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -437*u**3 - 15 with respect to u.\nAnswer: -1311*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**2 + 11462*z - 1886313. What is r(167)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 108269.\nAnswer: 7, 15467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -1447*x + 138. Determine f(0).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -264448 and -13399.\nAnswer: -277847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12889450 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41210611 (base 7) to base 4.\nAnswer: 31021311022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.72 - 1.72. Which is the smallest value?  (a) l  (b) -6  (c) -0.4  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 * 2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8256*u**2 + 0*u**3 + 8256*u**2 - 2*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 84, -2, -1, -7 in descending order.\nAnswer: 84, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -26 in -3\/7, 5, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 1\/19, 2\/9, -0.039, 2 in ascending order.\nAnswer: -0.039, 1\/19, 2\/9, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 357 in -2, -0.7, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 + -12.3. Let w = -2.7 + x. What is the nearest to -0.1 in w, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of 719*c**5\/60 - 365*c**4\/24 + 5*c**2 - 24. What is the second derivative of h(k) wrt k?\nAnswer: 1438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1256*j + 639*j + 618*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/10 + 42\/(-15). Let i be 36\/j - (2 - -1)\/1. Which is the second biggest value?  (a) -0.1  (b) -0.4  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -12. Suppose 4*v + 3 = -w*t + 11, -t - 5*v = -7. Suppose 181 = 4*y + q, 0 - t = -2*q. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*g**4 - 9*g**4 - 9*g**4 + 169 + 2*g + 4*g - 4*g**2 - 5*g in the form o*g**4 + c*g**2 + t*g**3 + i + p*g and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*c**5 + 2*c**4*g + 110*c**3 + 10771*c**2*g wrt c?\nAnswer: 120*c**2 + 48*c*g + 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-16)*(7\/(-21))\/((-5)\/8).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, 70, 4, -6 in decreasing order.\nAnswer: 70, 4, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(20)\/(sqrt(4) - -2*sqrt(4)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -85 - -121. Suppose 17*m - k = 8*m. Suppose 3*i - 1093 = n, -m*i + 5*n + 1825 = i. What is the highest common divisor of i and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16773141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18673 + -12766. List the prime factors of m.\nAnswer: 3, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of -i**5\/20 - i**4\/2 - 5*i**3\/6 + i**2\/2 - 19*i. What is f(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 77 + -49. Suppose 0 = -2*t + t - f. Let o = -11 - t. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*p + 90*p = -4*t - 24, -6 = t + 4*p for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00002510252 to 7 dps.\nAnswer: 0.0000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 79 - 396. Let c = 769 + z. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**4*j))\/((j*(j**(-9)*j)\/j*j)\/j*j)*(j\/((j**(1\/4)\/j)\/j)*j)**(-18\/13) assuming j is positive.\nAnswer: j**(-57\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 37*k + 2. Let d(f) = f. Give -4*d(c) - t(c).\nAnswer: -41*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 + -90. Let m = z + 82. Suppose -412 = -2*d + 5*l, -3*d = -m*l - 663 + 50. What are the prime factors of d?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 164 divide 20579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a kilometer in meters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, 18, 32, 48, 66, 86?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002192796 to six dps.\nAnswer: 0.000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 143011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -157 - 21*w**2 + 157 + (-1 + 1 + 16*w)*(-3 + 3 - 2*w) to b*w + l + r*w**2 and give r.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(756)*1 - sqrt(756)) + sqrt(756))\/(-4*2*sqrt(7)).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1023752 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from {t: 1, w: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.010198195 rounded to 6 decimal places?\nAnswer: -0.010198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d - 11. Suppose -3 = c - 8. Suppose 8*j - 5*j - 4*t = 26, 5*j - c*t = 35. What is the remainder when j is divided by g(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 33 - 37. Sort c, 5, 4 in decreasing order.\nAnswer: 5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 115*u**2 + 22*u + 68. What is the units digit of o(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + -7 - (0 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*j**2 + 6*j**2 - 11*j**2 - 3*j**2 in the form u*j**2 + w + o*j and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7245 a factor of 1042926343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 + -2. Let g(y) = -y + 3. Let u be g(c). Sort -2\/7, 2, u in increasing order.\nAnswer: u, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 - 15*k**2 - 7*k + 86. Let y be z(-14). Sort 5, y, -7.\nAnswer: y, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 22 - 44. Let l = -14 - i. Let q = -2 + l. Solve -2*g = -y + q, -3*y + 0*y = g + 17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 94816 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 10:14 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*q - g = -14*q + 70, 0 = -3*q - 2*g + 85. Suppose 5*j + q = -2*n - 0*j, n = 5*j + 25. Solve -9\/2*d**5 + 3*d**4 + 0*d + n - 3*d**2 + 9\/2*d**3 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14.4 + 3560.\nAnswer: 3574.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3637397778 a multiple of 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3*s**2 + 1)*(-6*s + 7*s + 1 + 0*s).\nAnswer: -3*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 10, 18.2, 2, 116?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 + 6*b + 5. Let h be r(-5). Suppose h = -2*d + 25084 + 8332. Let i = 9808 - d. Round i to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v + 2. Let k(c) = -3*c + 12. Let l be ((-108)\/(-60))\/((-3)\/10). Let y(h) = l*t(h) + k(h). What is y(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 199119066 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3\/(-6))\/(3\/(-216)). Let f = v + -28. Which is smaller: f or 10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.05 and 18?\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 - 79*s**2 + 237*s - 246. What is the units digit of u(77)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nuuueuuneneuuuue. What is prob of sequence uen?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 5544 = -3*v, 9235 = -4*v + 9*v + 4*a. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 340 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95746*d**2 + 21*d**3 + 31*d**3 + 29*d**3 - 95747*d**2.\nAnswer: 81*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54779, 219125, 493035, 876509?\nAnswer: 1369547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4314 - -751.7. What is o rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 3. Suppose 4*j - 3*w + 74 = b, 3*j + w + w = -64. List the prime factors of (-132)\/j + (-3)\/5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5546 - 5501. Solve 47*t - f*t = 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12525680775716 minus -0.1?\nAnswer: 12525680775716.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**3 - 2*i**2 + 2*i - 1. Let h be m(-3). Let b be 85 - (-5 - (h + -4)). What is the units digit of (-1)\/(4\/(-1*b))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010011000011011110001 (base 2) in base 14?\nAnswer: 50bb45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -102 - (-3)\/2*-2. Let g = h - -184. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 271, -1, -16, -352 in increasing order.\nAnswer: -352, -16, -1, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 149 = -5. Let j = p + -26. Is (-476)\/(-44) + 4\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m**4 - 144*m**3 + 3344*m**2 - 22464*m - 59488 = 0 for m.\nAnswer: -2, 22, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 361, -2159, -7601, -15965, -27251?\n\"Answer: -1461*b**2 + 1863*b - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of -x**3\/3 - x**2\/2 - x + 20. Let h(k) = 12*k**2 - 6*k + 33. Let s(l) = -3*h(l) + 9*z(l). Differentiate s(g) wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35229071 minus 4.357129?\nAnswer: 35229066.642871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 176 and -909.65.\nAnswer: -160098.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 273057216 by 4266519.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -4*k - 24. Determine m(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 127292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*y = 646974 + 74415. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2*7\/7*3058\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19\/((-76)\/(-29216)) + 5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {t: 3, j: 7, z: 8}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2271544839 - -0.43?\nAnswer: -2271544838.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -324 - 18.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q**2 + 4*q + 1. Let z be c(3). Suppose 15 = -3*l - 2*l. What is the units digit of l\/3*(-2 + z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 3*i**2 + 17*i + 12. Let b be r(-5). What is the nearest to 1\/2 in 3, b, 66?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*j - 20 = 11*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*t - 585 = 50*t. Let v be (4*-1)\/((-4)\/(-4)). Let x(r) = -4*r + 1. What is the remainder when t is divided by x(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 792013153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*t**2 + 24547*t - 704*t - 106*t**3 + 1297*t.\nAnswer: -106*t**3 - 3*t**2 + 25140*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-80 - 5 + 31)*(-5*n**2 + 6*n**2 - 20*n**2).\nAnswer: 1026*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -507.\nAnswer: -5\/507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 9 = -13*l + 11*l, -5*l = 5*d - 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15?  (a) -0.1  (b) -114  (c) 229  (d) -2  (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -949581451 divided by -7\nAnswer: 135654493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1714, 1779, 1892, 2053, 2262?\nAnswer: 2519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 88601?\nAnswer: 41, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19, 21, 33, 61, 111, 189, 301?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s - 3. Let j be c(6). Find the third derivative of 4*v + 2*v**2 - v**j - 4*v wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -4 - 178*33\/(-1416) and -9\/10.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/6 and 73\/35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + (3 + -12 - -6) - -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 94395 and 2850.\nAnswer: 97245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3225858 a multiple of 802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -2501*s + 262552. What is n(105)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g**3 - 14*g**2 + 50*g + 328. Is 135 a factor of t(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2015 by -1.\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88937824*d - 8*d**2 + 88937820*d + 3*d**2.\nAnswer: -5*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -78 - -74. Which is the smallest value?  (a) n  (b) -3  (c) 2  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**8*z**4)**23)**(-6\/19) assuming z is positive.\nAnswer: z**(414\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n. Let h(i) be the third derivative of -117*i**4\/8 + 3*i**2 - 164*i. What is h(o(b))?\nAnswer: -351*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000137047 to seven decimal places.\nAnswer: -0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*k**3 - 12*k**3 + 180*k + 2 + 24*k - 4*k**3.\nAnswer: -26*k**3 + 204*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8582 and 308046599.\nAnswer: 4291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5*(-4)\/(-20) - -82 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 476*z - 346*z + 953*z to p*z + r and give p.\nAnswer: 1083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j**2 + 4*j**2 - 3*j**2)*(-25 + 3 - 5).\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**4 - 25*p**3 + 30*p**2 + 160*p - 160.\nAnswer: -5*(p - 2)*(p - 1)*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/1 + 14\/2. Let q(d) = -d**3 + 8*d**2 + 0 - 1 - 6 + d. Let c be q(p). Sort -2, -5, c in descending order.\nAnswer: c, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 198 + -194. What is the second biggest value in b, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8*2*((-4)\/(-16))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7367?\nAnswer: 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.04, 53, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = u - 102, b - 106 = -u + 4*b. List the prime factors of u.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -428, -945, -1438, -1907?\n\"Answer: 12*m**2 - 553*m + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the second derivative of z**4\/6 - 5*z**3\/3 + 4*z**2 - 36*z. Suppose w(u) = 0. Calculate u.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1862*n**6 + 149*n**5 - 3280404*n**2 wrt n.\nAnswer: 223440*n**3 + 8940*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1, 20, 75, 184, 365, 636, 1015, 1520?\n\"Answer: 3*d**3 - 2*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-4))\/(2\/(-4)*-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**15\/t)\/t*t**14)\/(t*(t**(-4\/11)\/t*t)\/t*t)**(38\/7) assuming t is positive.\nAnswer: t**(259\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 21777 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 424 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of u**3\/2 - u**2 - 5*u. Let l be d(2). Let v(n) be the third derivative of n**4\/12 - n**3\/6 - n**2. What is v(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2 + 39040*o + 381030400.\nAnswer: (o + 19520)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -3*i - 9, -z + 2*i - 21 + 25 = 0. Solve -z*q - 30 = -54 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 6) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**3 + 50*p**2 + 303*p - 1379. Give q(-42).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 9*b**4 + 2*b**2 + 3*b - b**4 + 3*b - 5*b**3 + b**3. Let y(m) = 7*m**4 - 3*m**3 + m**2 + 5*m. Let x(c) = -5*j(c) + 6*y(c). What is d in x(d) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {w: 1, j: 1, z: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 - 2. Let o(a) = -3*a**2 + 10*a - 13. Let d(w) = o(w) - 4*y(w). Suppose 6*r - 9*r + 3*k - 24 = 0, 4*r = 5*k - 30. Calculate d(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 971 - 14567\/15. Let n = -10 - -15. What is the smallest value in 2\/5, n, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v + 51. Let k be l(-6). Which is greater: k or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 586057553?\nAnswer: 586057553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -317 (base 12) to base 7\nAnswer: -1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xaxaaaxaaxaaaaxxaxa. What is prob of picking 3 x?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 62?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -4*c - 3 - 5*c**2 - 4 - c**2 + 7*c**2. Let d be r(7). Are 15 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**5 + 85206*z**4 - 511164*z**3 + 1022280*z**2 - 681504*z.\nAnswer: -3*z*(z - 28396)*(z - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1193 = -132*y + 2107 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5479452\/595 + 322447\/35. Let w = 1\/119 - y. Calculate the common denominator of ((-13)\/(-4) - -2)*-1 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 - 11. Let y = 3.99 - n. Let s = 0.09 - y. Sort s, 2, -1\/17.\nAnswer: -1\/17, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 49592 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1167 + -1714630359.\nAnswer: -1714629192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = 5*h + 5, -h + 5*f - 29 = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2733650, -5467319, -8200988?\nAnswer: -10934657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 3635 + 3*p**2 + 2*p**2 + 3*p**2 - p - 10*p**2 + 0*p in the form s*p**2 + f + l*p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 37 - 21. Let d(v) = -v**3 - 73*v**2 + 68*v - 438. What is the remainder when j is divided by d(-74)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -297 - -279. Calculate the remainder when 84 is divided by (v\/(-15))\/(2\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/3153 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 527619400*r**5 - 38*r**2 + 13584109?\nAnswer: 31657164000*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 217274171?\nAnswer: 1109, 195919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = 5*z, z + 18 = -13*p + 18*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) 1\/3  (c) -78\/11  (d) 5  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-1 + sqrt(720))*-2)*3.\nAnswer: -72*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 42\/(-12)*((-240)\/28)\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 56427493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 31 in 0.1, 4, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 - 42*q + 4. Let i be t(-40). Let y be 405\/35 - (-36)\/i. What is the closest to -1\/2 in y, -2\/5, 1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -69*b**3 - 3244*b**2 - 34*b + 255. Give q(-47).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h*h\/h**(-2\/35)))**(-14) assuming h is positive.\nAnswer: h**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -11*t + 126. Let r be z(11). Let u = -1 + r. Solve u*y - 20 = -5*d + y, -28 = -3*d - 5*y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -415865 (base 15) to base 11\nAnswer: -1832290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 995 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 + (3 - 5) - (-101 - -89)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-110)\/88 - 93\/12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + ((sqrt(99)*-2 + 0)*4 - (sqrt(99) + (1 + sqrt(99))*3 - (-1 + sqrt(99))*1)))**2.\nAnswer: 66*sqrt(11) + 11980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d**2 - 3*d + 3. Let p be l(-3). Let v be (-54)\/(-15) - p\/15. Sort -5, 0.3, v in descending order.\nAnswer: v, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 204 and 40?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 47 + 103 = 0. Let m = -7 + 16. Let q = m + v. What is q rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rnrr when four letters picked without replacement from {n: 6, v: 1, r: 3, q: 3}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b + 1 + 0*b + 5*b + b**2 + 8*b**3 - 5*b. Let a be r(1). Find the second derivative of 7*h**5 - 4*h - 3*h**5 + a*h wrt h.\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j - 10*o + 9*o - 73 = 0, 62 = 5*j - 4*o. Solve 18 = j*b - 28*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/3)\/(8\/(-30)). Suppose -2*g = -m*g + 4431. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 45, 32, 11, -18?\n\"Answer: -4*s**2 - s + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 34348 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12061536 + -5?\nAnswer: -12061544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (-8 + 9 + 15)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 64833 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4222883849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as -302810519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -1 + 1 + -2 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3\/19 + 176848*j**2\/19 + 38833960*j\/19 + 2134536800\/19.\nAnswer: 2*(j + 110)**2*(j + 88204)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7*(20\/14 + (2 - (-5 - -7))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 0. Let x = 0.56 + 2.44. Let n = s - x. Which is the third biggest value?  (a) n  (b) -0.3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of 0*x**4 + 0*x**2 + 1\/3*x**3 + 3 + 0*x + 1\/5*x**5. Find the third derivative of z(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.115 + 732938.\nAnswer: 732938.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -169688, -339316, -508884, -678392, -847840, -1017228, -1186556?\nAnswer: -1355824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12.96 + 0.04. Let y = -13.07 + j. Let b be -1*12 + 73\/(9855\/1566). Is y less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 4*l - 33 = -69, 5*o + 150 = -10*l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(475) - (-2 + sqrt(475)))**2 + sqrt(475).\nAnswer: 4 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together -107 and 16.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.29 + 159.8.\nAnswer: 160.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, b: 1, z: 1, f: 1, g: 1}. Give prob of sequence ybg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -4  (b) -44  (c) -5  (d) -0.031\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/((s\/(s**(1\/11)*s))\/s))\/s)\/(s\/s**5)*s**5*s*(s\/(s\/(s\/(s\/(s\/((s*s\/(s\/(((s\/s**(-2\/15))\/s)\/s))*s*s*s)\/s*s))*s*s))))\/s*s*s*s assuming s is positive.\nAnswer: s**(1478\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*f**3 - 2*f - 7 + 2*f**3 + 1 - 3*f**3 + 7.\nAnswer: -11*f**3 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 140*q**2 - 55*q + 261. What is the hundreds digit of b(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + -14504143?\nAnswer: -14504150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 take away 0.6?\nAnswer: 21.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -32452.16 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 4*c = m - 12, 49*m + 52*m - 371 - 53 = -4*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 352 + -217. Suppose 12*c + l = 5*h + 8*c, 36 = 2*h + 2*c. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 + -19. Let l(m) = 124*m - 9677. Let t be l(78). Sort 4, t, d, 0 in increasing order.\nAnswer: d, t, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 779838 or 781790?\nAnswer: 781790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4 + -2 - (-11 - -4). Suppose -5*b = -4*d + 11, -4*d - 4 = 3*b + m. Put d, 16, 1 in increasing order.\nAnswer: d, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f**5 - 3*f**4 + 3*f**4 + (0*f**2 + 2*f**2 + 2*f**2)*(6*f**3 + 12*f - 12*f).\nAnswer: 26*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f - 4. Let y(s) = -s. Let c(d) = -6*d - 21. Let u(r) = -c(r) + 2*y(r). Let b(h) = 11*j(h) + 2*u(h). Calculate b(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -75 - -88. What is the remainder when 87 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**3 - 2*b**3 + 15*b**3)*(-2*b + 2*b - b).\nAnswer: -14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/4205 and -43\/11000.\nAnswer: 9251000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 26968, -38.\nAnswer: -38, 4, 26968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5257.\nAnswer: 7, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 - -78\/5. Let q = -35 - -35. Suppose q = 5*u + 5*y - 40, 0*y = -u + y + 2. Which is the closest to 2\/15?  (a) u  (b) n  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 33  (b) 0.32  (c) 1\/38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -208996946678492?\nAnswer: 208996946678492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 7*l**3 - 29*l**2 + 1670*l - 9971. Determine f(6).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 90 + 462. Suppose -18*g - x = -22*g. List the prime factors of g.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -g**3 - 60*g**2 + 3*g - 23?\nAnswer: -6*g - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (1272\/4452)\/(1\/4 + 46\/(-56))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14682 + -11604. Is 24 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 + 2)*3 - 8. Let d(i) = i. Let y be d(o). Let b = -1 - y. What is the lowest common multiple of b and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 5*o = 30, -28*c - 7*o = -29*c - 75 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 47 + -46. Which is the second biggest value?  (a) i  (b) -2  (c) 0  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 w, 1 j, and 1 f when four letters picked without replacement from {f: 3, k: 1, p: 3, u: 2, w: 8, j: 1}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:32 PM and 12:52 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 105158733?\nAnswer: 3, 2027, 17293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-13)\/t)\/t)\/t*t*t**0*(t**(-2\/9))**(5\/7) assuming t is positive.\nAnswer: t**(-955\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9*1\/6)\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 101151 and 67434?\nAnswer: 202302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 4*t**2 - 11. Let y(f) = 2*f**2 - 6. Let s(h) = -6*x(h) + 11*y(h). Let r(p) be the first derivative of 4*p**3\/3 - 2. Determine s(r(q)).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -5, 0, 0.3, 1\/2, -6, 4\/3, 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1.7*664\nAnswer: -1128.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -60832 and -43.\nAnswer: 2615776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*l = -18*l. Let n = -1 - -7. Solve -1 + l - 4*j**2 + 1 - n*j**3 = 0 for j.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/20*(-1)\/(-7)*-1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45479.95 years to months.\nAnswer: 545759.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -5 + 6 + 0 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*s*w**3 - 3*s*w**2 + 3*s*w + s + 2486*w**3 - 2*w**2 - 866*w wrt w?\nAnswer: 18*s*w - 6*s + 14916*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 47\/20 - 11\/4. Let t = 81\/10 - 38\/5. Which is greater: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1782 + 5404?\nAnswer: 7186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21549816.\nAnswer: 2, 3, 229, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 3)*(-3 + 3 - g + (-5*g + 6*g + 2 - 4*g)*(1 + 1 + 0)).\nAnswer: -21*g + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 240 = 4*l, 184 = 2*l + 2*f + 56. Solve 0 = 86*o - l*o + 48 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -8. Let g = -1 - b. What is the units digit of (16\/12)\/(g\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (22 - 18 - 6) + 15 + 29?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + 28 - 58. Suppose h*s - 36 = 18*s. Which is the second biggest value?  (a) -2\/21  (b) -4  (c) 2  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 12:54 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**3 - 39*x**2 + 147*x + 2140. What is g(20)?\nAnswer: -2520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -6\/7, 3\/2, -29, 0?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -549554 and 0.5.\nAnswer: -274777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 9864658.2 to the nearest one hundred thousand.\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 12. Let f = 6.58 - k. Round f to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 24 = -5*n, 2*n + 4*o = -8 + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-5\/3)\/i**(2\/5)*((i\/((i**(-2\/5)*i*i*i)\/i)*i*i)\/i)**(-7\/4) assuming i is positive.\nAnswer: i**(-83\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -25*(3 - 64\/20) - 2. Suppose 5*j = -4*h + 616, u*j = -3*h - 114 + 573. List the prime factors of h.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 147 a factor of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3114\/5 - -24667\/40. Let l be (-473710)\/(-4)*(-1)\/(-55). Let n = l + -2152. Find the common denominator of q and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of -2*i**2 + 1 - 5\/3*i**3 - 4\/5*i. Factor u(c).\nAnswer: -(5*c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -7) + (-7 - -7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -164669, -329376, -494103, -658850, -823617?\n\"Answer: -10*k**2 - 164677*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5134896128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of 4*r**2 + r + 2113. Let z(m) = -7*m - 2. What is -3*b(f) - 4*z(f)?\nAnswer: 4*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**3 - 219200*q**2 - 3002820788*q + 6006518408.\nAnswer: -4*(q - 2)*(q + 27401)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 4 + 19*s**2 - 10*s**2 as i + m*s**2 + p*s and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**5*(n\/(n\/n**(-4))*n)\/n)\/((n*n**(-3\/4))\/n*n*(((n*n*n**6*n)\/n)\/n)\/n))**30 assuming n is positive.\nAnswer: n**(-315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104199 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5796467485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -4*s - 3. Let p(n) = -n**2 + 65. Calculate the least common multiple of p(-8) and h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27031 is divided by 9006.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4755 and 18975?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -4*5*(-1 + -3 + 1*sqrt(300) + (sqrt(300) - (2*sqrt(300) + sqrt(300) + -4 - sqrt(300))) + 3))**2.\nAnswer: 3844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 17 = 3*i, 4*y - 4 = 2*i - 2. What is the least common multiple of 8 and i\/2 + (-2)\/(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 293380 is divided by 11732?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2145?\nAnswer: 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the third derivative of -p**6\/3 + 2*p**2. Is 10 a factor of v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 37 = q + 7, 4*q = -5*d + 71. Solve 5*o - 3 = -k, 2*o + 0 = -3*k + q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2071 and -0.76?\nAnswer: 2070.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*b + 20*b = 25*b + 310 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 - 129?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 159\/4*g - 15\/4*g**3 - 63\/4*g**2 + 3\/4*g**4 - 21 = 0.\nAnswer: -4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -6  (b) -1\/400  (c) 1\/4  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -433523847*z - 103075559.\nAnswer: -433523847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -13049 and -4.016.\nAnswer: 52404.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3211 or 1659\/5?\nAnswer: 1659\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 22*z = 17*z + 32, 217*m - 91 = 218*m - 22*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -40 + 44. What is the second smallest value in 0, y, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*r = 11*r + 200. Is r != 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -116 - 958. Let q = z + 3200. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1204 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:07 PM and 11:00 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*(h**1\/h)\/h*h**7*h**15*(h\/(h*h\/(h**(1\/2)*h))*h)\/h assuming h is positive.\nAnswer: h**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 53 = h - 5, j = 5*h + 228. Suppose 100 + 64 = -4*l. Let p = l - h. Solve 16 = 4*t + p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3*(-6 + 8)\/((-15)\/(-5)). Let j = 0.07 + 4.93. What is the third smallest value in j, u, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 165418354?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**3 + 19*i**2 - 24*i + 6. Is l(7) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11.5 + 7.4. Let p = v + 0.1. What is the nearest to p in -2, -1\/2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 divided by 534919?\nAnswer: 92\/534919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -29\/3 - -28\/3. Let p = 247 + -252. Suppose -18*v + 0*v = 13*v. Which is the closest to -2\/7?  (a) q  (b) v  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 80\/(-96) + 201381\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 AM and 7:02 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15389*z = -15390*z - 9, 2*z + 27 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 27988, 27576, 26878, 25888, 24600, 23008, 21106, 18888?\n\"Answer: -q**3 - 137*q**2 + 6*q + 28120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1163359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of -v**7\/1575 - v**6\/900 + 5*v**2 - 7*v. Let d(p) be the first derivative of o(p). What is x in d(x) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.26308l to millilitres.\nAnswer: 5263.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*c*h*j + c*h - 3*c*j*k - 46*c*j - 10*c + 3*k wrt j?\nAnswer: 2*c*h - 3*c*k - 46*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 38539 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12272.2884 + 12274. Round u to two dps.\nAnswer: 1.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -499 + 14977\/30. Find the common denominator of w and 44\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/(a*a*a\/(a*(a\/a**(-1\/3))\/a*a))*a*a)**(6\/31)\/(a**1)**26 assuming a is positive.\nAnswer: a**(-786\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n**2 + 20*n**2 + 15*n**2.\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 9490495 divided by -9490495?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 - -2925618.\nAnswer: 2925618.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p + 2 = 12*p - 3*t, 0 = -2*p - 4*t - 20. Which is the closest to -1?  (a) -2.7  (b) p  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 + 3 = -8*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.3 - 1. Let n = 0.68 - -0.21. Let v = -0.11 - n. Which is the second biggest value?  (a) t  (b) v  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + -30 + 7 + 45?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/1144 and 69\/26?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 1 = -0. Let y(n) = 26*n**2 + n + 1. What is the units digit of y(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 3*d = w, 2*w + 5*d - 13 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2\/9*x**2 + 146\/3*x - 436\/9 = 0 for x.\nAnswer: 1, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 2*g - 2*g - 4*g - g. Let s(b) = -3*b**2 - 3*b**2 + 4*b**2. What is s(l(c))?\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 141.7008 + 0.1992. Let x = 142 - g. Which is the smallest value?  (a) 1.1  (b) x  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(5 + sqrt(475) + 1 + sqrt(475) + 5 + 1))**2 + -5.\nAnswer: 3840*sqrt(19) + 32699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, k: 2, c: 1, e: 2, h: 2}. What is prob of picking 2 e and 2 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1360\/36 - (-6)\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 45759 + 21820. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1803 and 11802?\nAnswer: 7093002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*g**3 + 55*g**3 + 159*g**3.\nAnswer: 208*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + 137 - 2. Let h(i) = -i**3 + 28*i**2 + 31*i - 46. Calculate the remainder when k is divided by h(29).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -1 + 4*w + w + 3*w + w. Calculate n(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -9. Let v(p) be the second derivative of -p**3 - 3*p**2\/2 - p. Is v(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19743742?\nAnswer: 2, 167, 59113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 56 or 50078\/883?\nAnswer: 50078\/883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k - 1. Suppose 0 = i - 5*i + 16. Calculate v(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**2\/7 + 18930708*y\/7 - 29864308781772\/7.\nAnswer: -3*(y - 3155118)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 13) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/23 in 3, -67\/4, 0, -64?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-35)\/13*12\/14 and -85\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 5*c**2 - 12. Suppose 5*j - 5*k = -k - 23, 2*k = -2*j - 2. What is the least common multiple of 8 and d(j)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 15\/2*(-198)\/15. Let u = 37 - k. What is the greatest common factor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 r when three letters picked without replacement from {r: 3, z: 3, j: 3, w: 4}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10, -5, -20, -35, -50?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 4*h - 500, 5*s = 3*h - 175 - 198. Let l = 24 + h. Let o = 3930 + -3900. Calculate the highest common factor of l and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*o - 32*o + 27 = 39*o. Calculate the least common multiple of 312 and o.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 473\/(-594)*6 - ((-4)\/9)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3, 0, -524368 in decreasing order.\nAnswer: 0, -1, -3, -524368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -255.6 times -0.0924\nAnswer: 23.61744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21099 is divided by 725?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-132)*1 - (-40)\/(-220).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 3*a - 0*a. Solve a = -p + 2, 5*p = -4*w - 7 - 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 2*m. Suppose 0 = -2*c + 3 + 1. Let t be a(c). Solve -2*v = -t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 745077946.\nAnswer: 2, 4139, 90007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 54394 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: Collect the terms in -7065*t**2 + 2407*t**2 + 23*t**3 + 2404*t**2 + 2254*t**2.\nAnswer: 23*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5258 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2311 equal to 11\/335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, z: 9, t: 7}. Give prob of picking 1 p and 3 z.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 826 - 236. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.0881 + 0.9119. Which is the second biggest value?  (a) m  (b) 3  (c) 1\/15  (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/(20\/(-6)*3\/(-15)). Let z(p) = -3*p + 2. Let t(h) = -3*h + 2. What is n*t(f) - 5*z(f)?\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2948, -2930, -2904, -2864, -2804?\nAnswer: -2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*u - 34 + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 0*o - 5*o - 18.\nAnswer: -5*o - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zffzzfnxznnjzvv. What is prob of sequence vjf?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/(d\/d**(25\/4))*d*d)\/d)**(-22)\/(d\/(d**15*d*d)*d\/(d*d**29)))**(-20) assuming d is positive.\nAnswer: d**2290","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -169\/90 and 20\/37?\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -7*r - 3*r**3 - 4*r**3 - 15 + 8*r**3 + 5*r**2 - 2*r. Let m be y(-6). What is the derivative of 7 - 1 - 3*d + m - 5 wrt d?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/17 > -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + g)*((0 - 3 + 2)*(0 - 5 + 1) + 5 + 2 - 6 - 28 - 57 + 41).\nAnswer: -39*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -88 - -91. Suppose -3*u - 30 = -13*u. Let g be 5*s\/(-5)*(-4)\/u. Solve 4*m = -g - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*l**3 - 380*l**2 - 71*l + 1415790 wrt l.\nAnswer: -6*l**2 - 760*l - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -459.22 + 454. Let i = 4.5 + j. Let d = -0.32 - i. Which is bigger: d or -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -30591765.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47094, 47083, 47072, 47061, 47050, 47039?\nAnswer: 47028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o**2. Let u(h) = -3*h**2. Let a(j) = -j**2 + 1. Let n(w) = 15*w**2 - 18. Let i(m) = -18*a(m) - n(m). Let k(b) = 4*i(b) + 5*u(b). Give x(k(c)).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*b - 448 + 424. Let z be 72\/28 + b - (-20)\/(-35). Solve -4*g = -z*d - 0 - 13, -2*d = -4*g - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(5) + -1)*2 + sqrt(5) - (-2 + sqrt(5) + 4)) + (-4*sqrt(10)\/sqrt(2) - sqrt(20)\/sqrt(4)*6) + 1 + (sqrt(5) + 1)*-2)**2.\nAnswer: 144*sqrt(5) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104 - 169 = 39*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2302*k**3 - 1115*k**3 - 1039*k**3.\nAnswer: 148*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6242, 12459, 18656, 24833, 30990, 37127?\n\"Answer: -10*w**2 + 6247*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*z + n + 15 = -17*z, 2*z + 35 = 5*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - -1 - (0 + -17 + 30).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1737, -23.5, 0.2 in decreasing order.\nAnswer: 0.2, -5, -23.5, -1737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 36429373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 - 1 - 13\/((-26)\/552008). What is o rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4088345 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 11*m**3 + 10*m**2 - 2*m - 7*m**2 - 12*m**3.\nAnswer: -m*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3471*x - 9919 = 2708*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(192))\/sqrt(4))**2 - (2 + sqrt(48) + 1 + sqrt(48))) + 4 + -2.\nAnswer: -8*sqrt(3) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/5))**(-37)\/(i**(-1)\/(i\/(i**0\/i)*i)) assuming i is positive.\nAnswer: i**(94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 62*w. Let u(t) = -158*t**2. What is r(u(g))?\nAnswer: -9796*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6938 - -265?\nAnswer: 70a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 39301 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 951747092 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85747 is divided by 24406?\nAnswer: 12529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 47 - -21227052?\nAnswer: 21227121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -4733 divided by 6\nAnswer: -4733\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14003 and 20369943?\nAnswer: 387028917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 + 8*y - 3. Let k be g(-8). Let f(d) = d**3 + 3*d**2 - 3*d + 1. Give f(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r - 12. Let y be i(-4). Let l = 40 - y. Suppose -2*c + 2*d + l = -0*c, 3*c + 3*d = 42. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -36099, -144268, -324505, -576774, -901039, -1297264?\n\"Answer: 6*o**3 - 36070*o**2 - o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**2 + f - 1. Let b be z(-3). Suppose 24 = -b*i + 6*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0224*-1.8\nAnswer: 0.04032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or -120?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 226.091151364178 - -4268272.208848675822. Let q = 4268498 - o. Let v = q + 0.3. Round v to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18566 is divided by 160.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, 0.128, 0, -2, 1?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 3*p - 3*n - 1320, -4*p - 5*n = -1056. What is the highest common divisor of 24 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 115*f + 26*f**2 - 115*f + (-3*f + 4*f - 2*f)*(-2 + f + 2) + 0*f + 4*f**2 + 0*f - 6*f**2 + 0*f**2 + 0*f**2 + (0 - f + 0)*(0*f + f + f).\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/(-24)*(-9)\/(-42)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 - -8. Suppose -2*d - 67 + 235 = -5*u, -q*d - 4*u = -308. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2*v = 0. Let f be ((-4)\/6)\/((8\/4)\/(-6)). Suppose 5*u - m = 10, 2*m + 4 - f = u. Solve 4*n - 4*p - 24 = v, -n + u*p = -0*p - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5668*b**5 - 12*b**4 - 1215648*b**2.\nAnswer: -340080*b**2 - 288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 + -13. Is (4\/(-6))\/(p\/1143) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 25544784 and 12772392.\nAnswer: 25544784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -5*w**2 - 2. Let p(x) = -6*x**2 - x - 3. Suppose 0 = 2*u - y - 1, -y - 21 = -3*u - 6*y. Determine u*p(f) - 3*g(f).\nAnswer: 3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of -1\/12*m**4 + 0 + 0*m - 5*m**2 + 1\/60*m**5 + 1\/3*m**3. Does 10 divide k(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-60 - (-39 - 21)) + 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 + 2*t - 25. Suppose -172*n - 15 = -175*n. Let z be g(n). Suppose p - 4*h - 10 = -6*h, 3*h - 11 = -p. Which is smaller: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*s**4 - 62 + s**3 + 60 - 5*s**3)*(0*s + 14*s - 6*s).\nAnswer: 136*s**5 - 32*s**4 - 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 2, -3*x - 9 = -5*v - 0*x. Suppose 0 = -v*m + 2 + 7. Suppose -2*n + 1 = -3. Solve m*y = -n*c - 9, 0*y - 23 = 4*y - c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 46\/(-3) - 2\/(-6). Let d = v + 23. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 801930 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -71.6 + 72. What is the biggest value in -0.2, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnhnhn. Give prob of sequence nhh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 434530 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 4 - 3) + -18 + 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -46193*r + 591 + 46195*r + 2732*r**3 + 643*r**3 wrt r.\nAnswer: 20250*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 + 7*o**2 + 11*o + 6. Suppose -10 = -9*l + 17. Suppose 3*w - 16 = y, 0*w - 18 = -4*w + l*y. Is 27 a factor of p(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 79, 318, 681, 1138, 1659, 2214, 2773, 3306?\nAnswer: 3783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*t + 162 = -4*t. Suppose -123 = -2*u - t. Calculate the greatest common divisor of 32 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -208 and 29.2.\nAnswer: -178.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (0 + -11 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2047 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 176\/(-30) + 1 - -5.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 804.85 + -805. Which is the closest to -1\/4?  (a) -1\/3  (b) 1  (c) 3  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 + 3 - 2*-2. Suppose 2*d + 1622 = n*v, 2*v + d + 0*d - 817 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -h - 15, 6 - 51 = 4*h + z. Suppose 0*i = -2*i + 16. Suppose j = -2*y + i + 7, 3*j = -4*y + 35. Put -2, h, y in decreasing order.\nAnswer: y, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 261*i**3\/4 + 319461*i**2\/4 + 24438078*i - 280908.\nAnswer: 3*(i + 612)**2*(87*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -90 - -93. Which is the nearest to -2?  (a) z  (b) -9  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(684) + -2*sqrt(684) + 1)*-4 - 6*(sqrt(684)*1 + sqrt(684) + 4))**2.\nAnswer: 2688*sqrt(19) + 44560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*u**4*v + 2*u**4 + u**3*v + 68*u**3 + 24*u**2*v + 8*u*v - 99*u + 2*v + 1 wrt u?\nAnswer: 72*u*v + 48*u + 6*v + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 20, 5 in increasing order.\nAnswer: 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 475 and 1847700?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-36 - -35)*(0 + (-21 - 2)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(612))**2 + 3 - (sqrt(272) - ((-3 + sqrt(272))**2*-3 + sqrt(272) + sqrt(272))).\nAnswer: 76*sqrt(17) + 4668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjjjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -81516 or -81485?\nAnswer: -81485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*t - 5*a + 6, -31*t + 28*t = 5*a - 42 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -12514 (base 7) in base 14?\nAnswer: -130b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-68)\/(-30))\/(-17))\/((-8)\/((-160)\/12))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 14*f + 39 = -13, -3*j - 32 = -5*f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 7 = 3*j. Suppose 0 = -t + j*t - 12. List the prime factors of 3\/t - 207\/(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -53615, -52470, -51325?\nAnswer: -50180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 124 - 18. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h - 3. Let g be x(3). What is the nearest to g in -0.5, -5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n. Let i(y) = 3*y + 1. Let m(a) = -6*i(a) - 14*v(a). Let t be m(-2). Solve -2*k - 4*p + 8 = 0, -k - t*p + 6 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 3*p - 13. Let d be b(6). Solve d*i + 21 = -4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 203*g - 206*g + 96 = 0. Suppose 300 = 5*b - 10. What is the remainder when b is divided by g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1204, 1184, 1164, 1144?\n\"Answer: -20*m + 1224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 3*v - 6*v + 5, 0 = -4*k + 4. Let w be (4\/6)\/v - (-59)\/177. Which is bigger: w or 24\/17?\nAnswer: 24\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-62 + -1 - (-2 + 3) - 7) + (85 - 81)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 7:02 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -294 + 305. Suppose -2*c = -i*c + 5049. List the prime factors of c.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 25*a**2 + a. Let c be u(-1). Let l = -12 + c. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4397\/4 - 1099. Which is the fourth smallest value?  (a) 2\/15  (b) -1  (c) 3  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 4, g: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -219, -220, -221, -222, -223?\n\"Answer: -v - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/(-5)*4*(-18)\/(-504).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 0*b**4 - 4*b**3 + 8*b + 2*b**4 + 2*b**3 - 4*b to the form f*b + g*b**4 + c*b**2 + z*b**3 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 + 4 = 4*h. Let u(a) = -a**3 - 5*a**2 + 4*a + 2. Determine u(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 1 = -6. Suppose 0 = l + l - 26. Let w = l + s. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1916 divide 182651584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 157196*d**3*i**3 + 3*d**2*i**3 - 5*d*i**3 + 774*d - 2*i**3 wrt d.\nAnswer: 943176*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1427614?\nAnswer: 2, 713807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 209  (b) -390  (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 51283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 298573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 3*t - 1 = 6, t + 7 = 2*s. Suppose -2*y + 3*u - 6 = 0, -15 = -s*y - u + 1. Is (-7814)\/(-8) - (0 + y\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from furqvuf. Give prob of sequence vr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 2*q + 20 = 0, c - 11*q + 12*q = 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**3\/7 - 17086*f**2\/7 - 22582612*f\/7 + 45233584\/7 = 0. What is f?\nAnswer: -6908, -1637, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 22*f**2 + 2*f + 2. What is d(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1080\/13*h + 2\/13*h**3 + 24\/13*h**2 + 6400\/13.\nAnswer: 2*(h - 10)**2*(h + 32)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 less than -1028.3?\nAnswer: -1028.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/1371168 and -61\/5796.\nAnswer: 9598176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 greater than or equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4505, 8942, 13379, 17816?\nAnswer: 22253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(-4) + 145\/4. Suppose 98*k + 72 = 104*k. Calculate the highest common factor of k and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -6. Let q = 206 - 226. Let t be (q\/(-2))\/r - -15. Which is bigger: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 + 7*r**2 - 7*r + 6. Suppose 4 = m, 0*h = -4*h + m + 20. Let c be t(h). Solve 2*g - 2 - 4 = c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -102611464 to the nearest 100000.\nAnswer: -102600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 28 = -3*r, -2*r - 27 - 9 = -n. Let p be (-16)\/(-6)*(-36)\/r. Suppose 36 = -p*y + 90. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a - 3. Let c(u) = u - 5. Suppose -3*t - b = 2*b + 21, 5*t = -b - 15. Let d(i) = t*c(i) + 5*l(i). Differentiate d(x) wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = t + 4, -q - 2 = -2*q + 5*t. Let u be (2 + (-84)\/39)\/(-22). Let l = u - 27\/143. What is the third smallest value in l, q, -1\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + -0.5. Let i be (-1 - -4)*1 + 2. Which is the closest to 2\/5?  (a) x  (b) 0  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -2 + (-155 - -153) + 11 + -2 + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.03, -3.7, -115, 2\/5 in decreasing order.\nAnswer: 2\/5, 0.03, -3.7, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**2 + 6. Let g be b(0). Let z be -2 + (1 - g*-1). Let y = -5 + z. Solve 3*c - 31 = 4*a, y*a - 4 = a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9525 and 2667?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48775 is divided by 12191?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 1 - (9 + -16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 58224, 116511, 174930, 233487, 292188, 351039?\n\"Answer: a**3 + 60*a**2 + 58100*a + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of m**3\/6 - 10*m**2 + 13*m + 6. Let n(t) = 7*t - 2. Calculate 3*d(s) + n(s).\nAnswer: 7*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*b = 71*b + 120. What is the highest common factor of 408 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 + 6. Suppose 0 = j - 5, 13 = 2*l + c*j - j. Solve -3 = l*t - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, l: 6, o: 4, j: 1, a: 2}. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 times -0.06785?\nAnswer: -2.9854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.5 - 0.5. Let z = 3.94 + -3.9. Do k and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s*s**(1\/37)\/s)*s**(2\/5)*(s**(-18))**(-6) assuming s is positive.\nAnswer: s**(20234\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -10697696 divided by -2674424?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - -6512637?\nAnswer: 6512642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1482\/11  (b) -3\/19  (c) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x + x. Let s be x\/((-4)\/(12\/3)). Suppose s*n - 430 = -5*n. Calculate the remainder when n is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -37, -175, -245, -217, -61, 253?\n\"Answer: 5*m**3 + 4*m**2 - 185*m + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*s - 3*s**2 - 4*s + 2*s)*(-4*s + 0*s + 0*s) to n*s**3 + m + r*s**2 + i*s and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5*(-20)\/(-50))\/(-13).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5)\/(-10)*1141*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 1504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 193\/68834 or 1?\nAnswer: 193\/68834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r = -p + 11, r - 115714 + 115703 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, w: 3, n: 4, b: 6}. What is prob of picking 2 w and 1 b?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*u - 24*u + 56 = 0. Suppose 6*o = -8*o + u. Let v be (42\/30 - o)\/(2\/10). Solve 2*d = -3*f + 14, d - 3*f - v = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 525937960.\nAnswer: 2, 5, 13148449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -126 + -1?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 716, 2\/3, 11, -3 in ascending order.\nAnswer: -4, -3, 2\/3, 11, 716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 513*a + 4962. What is the thousands digit of p(58)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(2\/9)\/i*i**(3\/7)*i*i**(3\/5)*i*i**2)\/(i\/i**(2\/3)*i**2*i**14) assuming i is positive.\nAnswer: i**(-3806\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*m - 16 - 8. Suppose -8 = u + 2*g - 56, 222 = m*u - 2*g. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -68, -133, -198, -263, -328?\n\"Answer: -65*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3*k**3 - 3)*(-9*k**2 - 11*k**2 + 4*k**2 + (2 - 2*k - 2)*(-2*k + 4*k + 0*k)).\nAnswer: -60*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fbn when three letters picked without replacement from {c: 1, j: 1, n: 4, f: 3, b: 4}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002046931 to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46108, 46106, 46104?\nAnswer: 46102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u + 11577 + 5615 = 0. List the prime factors of u.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 85518\/23833?\nAnswer: 85518\/23833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*p**2*q*u + 2*p**2*q - 27*p*u - 97*q*u + u with respect to p.\nAnswer: 10*p*q*u + 4*p*q - 27*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(1053) - (sqrt(1053)*-4)**2)*-2.\nAnswer: -54*sqrt(13) + 101088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -134257 by 21.\nAnswer: -134257\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24 - 7. Let a = 5 - y. Let w = a + 11.99999993. Round w to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3214)\/(-5))\/((-2)\/(-10)). Suppose -4*u = -2*v + d - 880, -2316 = -2*v - 2*u. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10 and 58311.\nAnswer: 583110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.15 + -0.07. Let a = b + -0.38. What is the third biggest value in -1, -0.5, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(13) + 1 + -2).\nAnswer: -6*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7265116, 14530215, 21795314, 29060413, 36325512, 43590611?\nAnswer: 50855710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -3 and -2348787.49579.\nAnswer: -2348790.49579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 13 + -2 + -3 + (1 + -9 - -14 - 58)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 2*z = -7, 0*y - y + 5 = 2*z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 + 2*j + 14. Let s be w(-6). Suppose -67*r = -62*r - 190. What is the greatest common factor of r and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44920 rounded to the nearest one thousand?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 151456?\nAnswer: 2, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d**3 - 4*d**3 + 4*d**3)*(-2*d + 0*d + 17*d).\nAnswer: 30*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15949704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -15\/19, 1, 1\/11, -1.\nAnswer: -1, -15\/19, 0, 1\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h - 2*h + 13*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-16)\/(-12))\/(2\/(-6)). Let u = 0 + r. Let a be 29 + (-308)\/28 + -23. Put u, a, 0.2 in descending order.\nAnswer: 0.2, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**2 - 8*u**2 - 5*u**2)*(-168*u + 69*u + 60*u)*(5*u - 4*u + 0*u).\nAnswer: 624*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -433776 divided by -8\nAnswer: 54222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 493312 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -9*t**3 - 2 + 0 - 1 + 5*t**2 + 1 - 9*t. Let k(b) = -4*b**3 + 2*b**2 - 4*b - 1. Give -2*g(f) + 5*k(f).\nAnswer: -2*f**3 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(2\/(-2))*(-94)\/49585*5)\/2\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-4))\/(60\/(-840)). Solve -9*n = -v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-65)\/(-15)*-3*-2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) -213  (c) 4  (d) 1  (e) 99\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -9*b - 1. Let s(d) = -9*d - 1. Let a be 4\/3*306\/(-136). Calculate a*s(c) + 2*v(c).\nAnswer: 9*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 199 and (-364)\/(-35) - 6\/15.\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.480172835 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 141 - 59. Suppose 3*b - 5*d + 4*d = g, -2*b + 59 = -5*d. Calculate the remainder when 79 is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3 + 58.678.\nAnswer: 58.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106 = 4*g - 2*q, g - 4*q + 152 = 6*g. Calculate the remainder when g is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -32*a. Let q(p) = 11*p. Let r(j) = 16*q(j) + 5*v(j). Let c(o) = -o. Determine c(r(g)).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3840 divided by -960.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -24220994 and -4854?\nAnswer: 24216140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 224177 is divided by 1710.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (23 + -36 - (-3 + -8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 24*v**3 - 2*v**2 + 2*v**4 - v + 3*v**2 - 23*v**3 as t*v**3 + d*v + f + a*v**2 + i*v**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 0 - 740*g - 1256*g to j + d*g and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 592112 and 80?\nAnswer: 2960560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 146.49 + -145. Let k = -1.4 + q. Let y = 2.168 + -2.268. What is the biggest value in y, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h = -0*h - 35. Let q(l) = 9*l**2 - 11*l - 3. Let s(t) = -5*t**2 + 6*t + 2. What is h*s(v) + 3*q(v)?\nAnswer: 2*v**2 - 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6059*p**2 - 3027*p**2 - 3090*p**2.\nAnswer: -58*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -4*r - 0*u - 7, 0 = -3*r + u + 9. Suppose 2 = r*c - 2. Solve c*o + 16 = -5*d - 0*o, 0 = -o + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -10*p. Let z(b) = -13*b + 4. What is h(z(l))?\nAnswer: 130*l - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 - 6*s + 5. Let r(f) = f**2 - 11*f + 22. Let c be r(5). Calculate q(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 819, 43, -10, 3, -5, 2, 0.\nAnswer: -10, -5, 0, 2, 3, 43, 819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/14 and 19\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20634.\nAnswer: 2, 3, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (102*s**3 - 102*s**3 - 68*s**4)*(-5 - 5*s + 5).\nAnswer: 340*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + (14 - 12) + 2 + -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 5*j**3 + 13*j**2 + 11*j + 23. Let d(k) = 11*k**3 + 27*k**2 + 22*k + 47. Let u(f) = 9*c(f) - 4*d(f). Give u(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 435*r**5 + r + 52 wrt r?\nAnswer: 8700*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 + -418820.\nAnswer: -418820.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -470990, -941981, -1412972, -1883963, -2354954, -2825945?\n\"Answer: -470991*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -117\/80 and -163\/63024.\nAnswer: 315120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 0 + 7*l - 8*l - 3. Let r be b(-4). Let u(t) = 12*t**2 - r - 6*t - 11*t**2 + 0. What is u(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of -r**2 + 14. Let q(d) = 11*d**2. What is u(q(c))?\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g**3 + 5*g**2 - 46*g + 40 = 0. What is g?\nAnswer: -10, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 - o**2 - 5*o - 3. Suppose 44 - 27 = -17*s. Let l(y) = y**3 - y - 1. What is s*c(x) + 3*l(x)?\nAnswer: 2*x**3 + x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = 2*y + 3*z, 2*y + 3624 = 2*z + 3634 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0163 - 0.25641685.\nAnswer: -0.27271685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 132704\/7 - 18829. Let h = k - 129. Let u(y) = 7*y - 199. Let b be u(29). What is the third smallest value in h, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(1 - (0 - -3)). Suppose -4*y - k = 3. Is (y\/(-2))\/(1\/74) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8658*t - 9508*t = -109650 for t.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 1 + 10. Sort -4, 0, z in descending order.\nAnswer: z, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7392006 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 4, -312, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110011010010 + 10111100111?\nAnswer: -1011011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.34 + -0.04. Let w = k + -1.6. Let q = 0.9 + w. Which is the third biggest value?  (a) q  (b) -0.4  (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/(-38))\/((-71)\/(-1349)). Let 9\/5*h**5 + 5*h**4 + 0 + 21\/5*h**3 + 3\/5*h**m - 2\/5*h = 0. What is h?\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence irrr when four letters picked without replacement from rrrrirrriiirrrririi?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express b**4 + 3*b**3 + 2*b**2 - 3 + 3*b + 3 - 4*b as z*b**4 + x*b + d*b**3 + p + h*b**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, z: 1, a: 2, o: 1}. What is prob of picking 1 o and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange c + c + 2*c - 2871 - 671*c + 2870 + 163*c + (-3 - c + 3)*(1 + 1 - 3) + 3*c + 3*c - 4*c to the form v + i*c and give i.\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(4 + sqrt(1573) - sqrt(1573))*-3 - -3*(3 + (sqrt(117) - (sqrt(117) + 1) - sqrt(117))))**2.\nAnswer: -972*sqrt(13) + 3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -295*d**3 - 2 + 294*d**3 - 2*d**4 + d - 3*d**2 + 0*d**2 to the form z*d + b + p*d**2 + a*d**4 + g*d**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times -64071136?\nAnswer: 12814227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -93900.0113251 + 93900. What is g rounded to 4 dps?\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 160\/224 - (-2)\/(2*-1). Sort 3\/7, 1\/69, f.\nAnswer: f, 1\/69, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + -4 + (-5 - -2) + 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o - 5*o + o + 2*o. Calculate r(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3087) - (sqrt(3087) - -2*(sqrt(3087)*2 - sqrt(3087))))\/(sqrt(144) + -2*sqrt(144) + (sqrt(9) + 1*sqrt(9))*-5).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 1039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 28 + 20 = 0. Solve -u = -5*l + u - 18, -3*u = r*l + 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -389 = -5*z - 2*d - 0*d, 0 = -z + 3*d + 88. What are the prime factors of z?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -a**4 + 0 + 0 + 2 + a**3 - 3 + a in the form y*a + w*a**2 + j*a**4 + i*a**3 + m and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2779897 + 475192 = -223*y. Is y a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8902?  (a) 0.07  (b) -7  (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -95511, -95520, -95535, -95556?\nAnswer: -95583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, -5, -95, -2, -4, -479 in decreasing order.\nAnswer: -2, -4, -5, -21, -95, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ehe when three letters picked without replacement from eeeehseeeeeeeheee?\nAnswer: 91\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 + 14*l**2 - 8*l - 3. Let q be y(9). Let k = q - 10777\/6. Let w = 62 + -314\/5. What is the common denominator of k and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or -490387?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrkrrrrrrkk. Give prob of sequence rkkk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 2*z + 1322 = 0, -13*n + 17*n - z - 2656 = 0. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (824\/(-30))\/(-4) + -16 + 9.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -243 by -163.\nAnswer: 243\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9511 + -9407. Calculate the greatest common divisor of 1079 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of -p**6\/6 + 2*p**5\/5 - 2*p**3\/3 + p**2\/2 - 1. Factor b(c).\nAnswer: -c*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 11*i. Let c(y) be the first derivative of -10*y**3\/3 - 14*y - 789. What is c(s(n))?\nAnswer: -1210*n**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1442 + 1444 - (-28 + 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1029*q - 1037*q = -56 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4052693904?\nAnswer: 2, 3, 7, 199, 60611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 1354 + 127. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 - 5*x**2 - 2*x - 10. Let d be l(-5). Which is smaller: 1\/30 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times -2.6\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 + 5*m + 7. Let k(y) = y**2 - 3*y - 5. Let r(o) = 5*h(o) + 8*k(o). Let i(z) = -3*z**2 - z + 6. Give -5*i(t) - 6*r(t).\nAnswer: -3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 144 divided by -16\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 944*x**6 + 2*x**5 - 176*x**2 - 3?\nAnswer: 113280*x**3 + 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -35 - -41. Suppose 156 = x*f - 162. Is f a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 77*n**2 + 113*n - 1433. What is the ten thousands digit of j(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 204 and 766?\nAnswer: 78132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 36810 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 + 4*m + 25. Let k be p(6). Suppose -8*y - 115 = -k*y. What is the remainder when y is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 31 = 26*y - 30*y, 5*y = 5*x - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*o**2\/7 + 300288*o\/7 - 11271610368\/7 = 0. What is o?\nAnswer: 75072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-28)\/(-42)*9\/(-75)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4343962?\nAnswer: 2, 7, 310283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1313361824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14632264?\nAnswer: 2, 67, 27299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8113 smaller than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f**3 - f**2 - f + 2. Let s be (-1)\/(-2)*-3*10\/15. Let c(i) be the first derivative of i**4\/4 - i**3\/3 - i**2\/2 - i - 3. Determine s*c(r) + v(r).\nAnswer: r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/(-2))\/(5\/10). Suppose -3*d + 7 = m, -d + 2 = -m - g. Suppose 9*z = -30 + 84. What is the greatest common factor of d and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1148*r**4 + 778*r**4 - 2841*r**4 + (23*r**2 + 11*r**3 - 23*r**2)*(0 + 0 - 2*r) to h*r**3 + m*r**2 + n*r + k + z*r**4 and give z.\nAnswer: -937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**6\/(x**(-22\/3)\/x*x*x) assuming x is positive.\nAnswer: x**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 0*j = 5*j + 1395, 2*j = -3*y + 817. Let g be (55\/y)\/((-19)\/(-9) - 2). Determine q so that 0 + g*q + 3\/5*q**3 - 12\/5*q**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8.7 and -0.01?\nAnswer: 0.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -2\/9, 2\/3, -0.13, 0.121 in increasing order.\nAnswer: -2\/9, -0.13, 0.121, 2\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -329 and -12944.\nAnswer: 4258576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -473749*o**2*u + o - u + 151865 wrt o?\nAnswer: -947498*o*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/493679 or -2?\nAnswer: 4\/493679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 20*v**3 - 157*v**2 - 3*v - 100. What is y(8)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -2*z + 22*a - 21*a, 5*z - 186 = -a. Which is smaller: z or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 PM and 4:41 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 30528312 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 7*p + 176 = 0. Let a be (4 - p\/(-6))*1. What is the closest to a in -3, 2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113*p + 223 + 116 = 0. Solve p*f - 5 = -11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -9, -0.5, -2, -0.04, -0.3, 0.1247, -0.4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 0*y + 5*y - 38 = 0, -2*y = 3*b - 68. Let g = b - 143\/6. Suppose -2*r + k + 2*k - 10 = 0, -3*r + 5*k = 16. What is the biggest value in g, r, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129 + 4 = 7*k. Let x(r) = 16*r**2 - 45. Is x(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 377 a factor of 385834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/(q*q\/q**(-1)))**16*(q**(-2)*q)**(-2\/57))\/((q**(-1\/5))**46)**(2\/41) assuming q is positive.\nAnswer: q**(-181306\/11685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(5 + 4) + 2\/6. Suppose -l - l + 480 = i. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5\/(15\/9) - -1. Suppose a*l + 91 = 5*l. Let n = -60 + l. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20467 + 47698. What are the prime factors of j?\nAnswer: 3, 29, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15)\/(-6)*(-36)\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, 7\/2, -236689 in ascending order.\nAnswer: -236689, 1\/6, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4507222, -4, -3.\nAnswer: -4, -3, 4507222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.097 - -14.403. Let n = x + -11.5. What is the closest to 1\/2 in n, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4308)\/(-2872)*(292\/30 + (-2)\/5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s**2 + 2*s**2 - 2*s**2 + 4*s**2 - 6*s**2 + 3*s**2 + (2 - 2 - 2)*(2*s**2 + 0*s + 0*s) + (2 - 1 + 1)*(-s**2 + s**2 - s**2) + 52*s**2 + 242*s - 242*s.\nAnswer: 49*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + -5.4. Let k = n - 0.9. Let l = -1.7 + k. Which is the third biggest value?  (a) -4\/3  (b) 9  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/4822 and 39\/19288.\nAnswer: 19288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-10) - ((-35116)\/360 + -1). Let y = 928\/9 - t. Calculate the common denominator of y and -19\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 1  (c) 0.186  (d) 8.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -33*x**2. Let y(d) be the third derivative of -21*d**2 + 0*d**3 + 0 + 0*d + 1\/12*d**4. Give t(y(i)).\nAnswer: -132*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 47076 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o**(-14)\/o*o)\/((o**(-2\/11)*o)\/o))**(-42))**(-3\/13))**8 assuming o is positive.\nAnswer: o**(-153216\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 9:23 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 163, 166, 169, 172, 175?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 49*x - 25. What is h(-1)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to -2\/1847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001024 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 times -10433?\nAnswer: -62598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * 0.289.\nAnswer: -0.0867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 PM and 7:36 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 3 + 5*l - 5 + 11. Let v(f) = 2*f + 1 + 3 - 1. Suppose 1 = r - 5*z - 21, -3*r - 3*z - 24 = 0. Determine r*s(m) + 8*v(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6716 = -24*m + 7100 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 + -5. What is the units digit of -2 - q*(0 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o - 1. Let m(k) = -2*k. Let c(b) = 3*m(b) + 4*s(b). Let d be c(-6). Is 26754\/34 + d\/(-136) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 4 + (sqrt(448) - (sqrt(448) + 1)**2) + (sqrt(448) - (sqrt(448) + sqrt(448)*-2)) + 2 + (-5*sqrt(448)*-2*4)**2 + 4 + 1.\nAnswer: 8*sqrt(7) + 716367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**3 + 257*p**2 - 255*p**2 - 5*p**3.\nAnswer: -3*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*m + 7. Suppose 10*t = 7*t, t + 1004 = m*a. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17867 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13400 by 268.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of -44*t**7\/21 + 23*t**4\/6 + 8*t - 1. Find the third derivative of n(i) wrt i.\nAnswer: -5280*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3290306 is divided by 7001.\nAnswer: 6837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 59*y**4 + 115*y**4 - 29*y**4 + (-5*y + y + 2*y)*(6*y**3 - 5 + 5) to the form u + z*y + c*y**3 + r*y**2 + b*y**4 and give b.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -94 and 0.1604?\nAnswer: 94.1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = -5*m - 15. Let a(g) = 3*g + 2. Let u(n) = -n - 1. Give m*a(f) - 7*u(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes after 6:08 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4295 divided by 859.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((((-2)\/2)\/(28\/(-32)))\/(-1))\/(24\/(-140))\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -829.52 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 522 and 32799.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -326*t**3 - 2*t**2 - 137*t.\nAnswer: -1956*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 329.7905 rounded to one decimal place?\nAnswer: 329.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 642 + 966 = 464*m + 72*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 121365 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -15839 (base 10) to base 8\nAnswer: -36737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 167 divide 450215133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8166390 + 3?\nAnswer: 8166393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 47199 - 47191. Suppose d - 2 = -0. Solve -i = d*y + p, 4*i + 2*y = -y - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59 + (13 - 32 - -42).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 143874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 67 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 2*m**2 + 21668*m + 21666 = 0.\nAnswer: -10833, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-20)*-5 + 12\/((-4752)\/275)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-80)\/(-2)*(-4 + (-45)\/(-10)). What is the closest to 0 in v, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 3399980 = p, 13599995 = -4*p - f - 0*f. What is p rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 5*k - 2747 = 0, 4*m - 4*k = 2107 + 1561. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 41 - 20*z + 6*z + 7*z**3 + 60 + 8*z wrt z.\nAnswer: 21*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 - 6*d**2 + 8*d + 16. What are the prime factors of f(-10)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 2800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 67980*s - 3026*s - 27676*s.\nAnswer: -98682*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/2 + -4 + -4. Let d(z) = 3 + 6*z + 2 + 3 + 2*z**2 - z**2. What is the tens digit of d(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 47 - 2*l**3 + 7*l**3 - 7*l**3 - 7*l as m + c*l + t*l**3 + s*l**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-7)\/6 + 8\/12. Put s, -0.2, -5 in descending order.\nAnswer: -0.2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.22114 and -2.\nAnswer: -0.44228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*r - 3*q + q + 19, 4*r + 16 = -2*q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(2) + sqrt(128))*-5 + 0 - (4 + (sqrt(128) - sqrt(128)*-1) + sqrt(128)))*-1)**2.\nAnswer: -888*sqrt(2) + 24658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -703*j - 3. Let a(z) = -2*z. Calculate d(a(n)).\nAnswer: 1406*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - 16249?\nAnswer: -16252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*v - 29 = -3*v + 6*v - 2*v - 7*b, 20 = 4*b for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of 103*s**6\/120 - s**5\/15 + s**3\/3 + 11*s**2 + 4*s. What is the third derivative of y(r) wrt r?\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of -9*k + 3\/2*k**2 + 4. Determine b(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 267, -3, 0.5, 0.09 in ascending order.\nAnswer: -3, 0.09, 0.2, 0.5, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 0, 14, 3, -9 in decreasing order.\nAnswer: 14, 9, 3, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*b - 6*b + 47*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/t**(-11)*t**(-8) assuming t is positive.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/62037201 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7034314211 rounded to four dps?\nAnswer: 0.7034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the first derivative of y**6\/3 - 18*y**5\/5 + 25*y**4\/2 - 18*y**3 + 10*y**2 - 123. Find o such that p(o) = 0.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 22 - -970?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2150447698 to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 5*c - 21. Put -1, c, -5 in decreasing order.\nAnswer: c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of -307*u**5 + 823*u + 1278. What is the derivative of z(o) wrt o?\nAnswer: -6140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 25*r - 8. Calculate i(3).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 - 2 + 3)*(-6*c**3 + 31*c**3 + 14 - 15) in the form k*c + f + j*c**3 + t*c**2 and give j.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbfffffffbfffbfbf. Give prob of picking 1 f and 1 b.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**2 - 4120*d - 8232.\nAnswer: -2*(d + 2)*(d + 2058)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 32 = 12083*a - 12081*a, 0 = -4*a + 3*c - 48 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, -657, -2 in decreasing order.\nAnswer: 0, -2, -5, -657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1051, -12127, -30587, -56431, -89659, -130271, -178267?\nAnswer: -233647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 - 5*v + 4. Let j be s(5). Suppose -4*u - u = 2*n - 11, -n = -u - 2. Suppose -5*a - 8 = -j*h + 1220, n*a + 307 = h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d = -2361\/100 + -41\/25. Calculate the common denominator of -69\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -0.884, -0.33 in ascending order.\nAnswer: -4, -0.884, -0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that y**5\/2 + 123*y**4 - 4244*y**3 - 28848*y**2 - 39744*y = 0.\nAnswer: -276, -4, -2, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 5*h - 8)*(2*h + 0*h + 2*h) - 5*h**2 + 2*h**2 + 5*h**2 + (0*h**2 - 25*h + h**2 + 25*h)*(-15 - 30 + 1).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1229 + 1230. Are q and -3\/20 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (102\/21 + -5)\/((-1)\/1). Sort -2\/9, x, 0.4.\nAnswer: -2\/9, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.2 - 0.1. Let s = -314 + 216. Let k = s - -96. What is the nearest to j in -3, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -298 - -301. What is the closest to 8 in 1\/6, -2\/9, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 5*b + 48. Let a be n(-9). Suppose a*k - 32 = d, -k + 0*d + 3*d = 0. Suppose -11*z = -k*z + 3. Calculate the greatest common divisor of z and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 5*f**3 - 142*f**2 + 586*f - 25. Calculate r(24).\nAnswer: 1367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7155?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -25065 (base 7) in base 16?\nAnswer: -19a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of -u**5\/20 - 7*u**4\/12 - 5*u**3\/6 + 5*u**2 + 19*u. Let x be m(-6). Suppose p = -2*p + 21. Solve -x*b - p - 9 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 - 4*a**2 - 2*a - 3. Let b be t(-4). Let w be (4\/(-14))\/((-1)\/(-28)*-4). Solve -b*s + 5 = w*j, 0 = 5*j - 3*s - 1 + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 294471  (b) 5\/3  (c) -0.035\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1700*a + 2 = -z - 1701*a, -3*a = 2*z + 8. Solve 0 = -2*d + z, -4*d = -2*c + 95 - 89 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -545605\nAnswer: -545605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15 by -361047.\nAnswer: 5\/120349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (21 - 103*c - 5*c - 19)*(8*c - c + c) to i + a*c**2 + o*c and give a.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -18627, -18641, -18661, -18693, -18743?\n\"Answer: -y**3 + 3*y**2 - 16*y - 18613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00002889374 to 7 decimal places.\nAnswer: 0.0000289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u**2 + 7*u - 6. Let y be t(5). Let x = y - -24. Suppose -w = 4*c - 0*w - 202, -w = -x*c + 148. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2\/5 - 39808*y\/5 + 198084608\/5.\nAnswer: 2*(y - 9952)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 1499 divide 201808871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-6) + (1 - 28\/(-21)). Let r(x) = -7*x**3 + 8*x**2 - 7*x + 7. Let o(j) = 15*j**3 - 17*j**2 + 15*j - 15. Let n(b) = -6*o(b) - 13*r(b). What is n(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -644, 18, 1280, 3142, 5604, 8666, 12328?\nAnswer: 16590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 968 = 4*z, 644 + 47 = 3*d - 4*z. Let c = d - 234. What is the closest to -35 in -0.4, -2\/13, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(68)\/(sqrt(8)\/sqrt(2)) + (sqrt(425) + -1 + sqrt(425) - sqrt(17))**2 + -2*sqrt(17) + -4.\nAnswer: -14*sqrt(17) + 1374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1538.03 - -1538. Which is the nearest to 1\/3?  (a) f  (b) 0.2  (c) 2\/9  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 10, k: 2}. Give prob of picking 3 m.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 255\/6 - 3\/6. Suppose 0 = 3*v - 0*v - h. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 8097 and 8096 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of 3\/2*v**2 + 0*v - 9. Let o(r) = -4*r**2. Determine t(o(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -181\/120 and -143\/1992?\nAnswer: 9960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 0 - 1\/3*y**5 + 0*y + 0*y**2 + 0*y**4 + 1\/3*y**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the third derivative of -t**5\/420 + 5*t**4\/28 - 4*t**3\/3 + 631*t**2. Let a(i) = 0. What is i?\nAnswer: 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 188111\nAnswer: -376222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45572060 divided by -9514.\nAnswer: -4790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2299 is divided by 78?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1989.6 and -1.9.\nAnswer: -3780.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -10*s**2 - 44*s - 6. Let g be j(-4). Suppose 0 = g*v + v. Solve 2*u + v*u = -4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30769681 plus -0.6?\nAnswer: -30769681.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41230 (base 7) to base 5.\nAnswer: 310231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2021202000200 (base 3) to base 2.\nAnswer: -100101000101100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, d: 3, n: 4, m: 2, u: 3, r: 1}. Give prob of sequence ur.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i**3 + 3*i**2 - 5*i + 5. Let s(d) = d**3 - d**2 + 2*d - 2. Suppose 35 = -3*l - 2*k + 3*k, k = l + 15. Determine l*s(g) - 4*q(g).\nAnswer: -2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2752, 5443, 8124, 10789, 13432, 16047, 18628, 21169?\n\"Answer: -z**3 + z**2 + 2695*z + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 113353953 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 50195281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 121518296765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the second derivative of -l**5\/5 - l**4\/3 + 4*l**3 + 4562*l. Factor w(k).\nAnswer: -4*k*(k - 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-46)\/2300*-25)\/((-1)\/60)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 122104 (base 5) to base 15\nAnswer: 15a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5*48\/(-540))\/(572\/133848)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v = -5*o - 7*v + 12, -3*o + 15 = 2*v. Is o < -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -290043*c**6 - 3*c**2 + 71567 wrt c?\nAnswer: -34805160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38591 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10513 or 10386?\nAnswer: 10513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1685 and 959439.\nAnswer: 4797195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*v + 9 = -21. Solve -u = 2*u + v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 4*p = -4*o + 208, 3*o + 12 = 0. Suppose p = -h + 5*h. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-5)\/20*2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18858 and 3864?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eyyeyyeyyy. What is prob of sequence eeye?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*m - 2 = 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -84*h**2 + 20. Let y(n) = -12*n**2 + 3. Let t(f) = -3*o(f) + 20*y(f). Let a(u) = 1807 + 1807 - 7*u - 3614. Calculate t(a(b)).\nAnswer: 588*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 211020000012112 - 12?\nAnswer: 211020000012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-3))**(-2\/73)*(u\/(u\/(u\/(u*u\/u**(-8)*u*u))))**38)**50 assuming u is positive.\nAnswer: u**(-1525400\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2286 divided by 855\nAnswer: -254\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 24737.57 from -25311.\nAnswer: -50048.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 AM and 1:22 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*w**4 - w**4 - w**4)*(-31 - 34 + 4)*(3 - 5 + 3).\nAnswer: -122*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/(-18) - (-70)\/6. Let n(x) = -x + 1. Let k(g) = -28*g + 43. Let y(t) = -k(t) + 6*n(t). What is the tens digit of y(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1396357+-462.59\nAnswer: -1396819.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.064?  (a) 21  (b) -71  (c) -4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14 and 152?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 238244.889977 + -238245. Let y = -0.11 - t. Round y to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2220010292 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-4\/3)*t*t\/(t\/t**(-2))*t**3*t\/((t\/(t**(1\/7)*t))\/t))**(-5\/6) assuming t is positive.\nAnswer: t**(-295\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 132150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 11, o: 2}. What is prob of sequence to?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.5499 + -1.4501. Which is the fourth smallest value?  (a) 4\/7  (b) -1  (c) r  (d) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -3*p + 1383, 2*p - 772 = -s - 308. What are the prime factors of s?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 3*y**2 + 1 - 1. Let b(w) be the third derivative of w**5\/20 - 4*w**2. Determine z(b(h)).\nAnswer: 27*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -270*a**2. Let t(x) = -5*x**2. Give z(t(n)).\nAnswer: -6750*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2b004a (base 12) to base 4.\nAnswer: -2301030322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + 5 + (1 - -1). Let m(j) = j**2 - 8*j + 3. Let y be m(v). Let k = 16 - y. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -636, -1315, -2000, -2691, -3388?\nAnswer: -4091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -2\/5*c**4 + 0*c - 12\/5*c**2 + 0 + 2*c**3 = 0. What is c?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + -4. Let l be (-3)\/(-15)*(4 + -3). What is the third smallest value in c, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-472)\/(-6195))\/((-4)\/(-14)). Find x, given that 2\/15*x**5 + 0 - v*x**3 + 8\/5*x**2 - 16\/15*x - 2\/5*x**4 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3089232 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1\/2  (b) 17  (c) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + -5. Solve 0 = -s - q*s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43774975*y + 5*y**2 + 43774975*y - 2*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 228\/18*21\/35 - 7.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/630 and 83\/14910.\nAnswer: 44730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 PM and 8:15 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 6*6*(-6*(sqrt(605) + 1) + (0 + sqrt(5)*-1)*5)**2.\nAnswer: 30672*sqrt(5) + 908675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12572\/2469165 + 2\/5865. Let y = -379 + 378. Which is greater: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-3 + 4*-6*(sqrt(567) + -1)*1 + 4))**2.\nAnswer: -388800*sqrt(7) + 11779812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/221108 and -3\/7348?\nAnswer: 2432188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1666 = 1975*d - 1992*d. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 41*g + 37*g - 20 = 0, 2*f + g = -5. Solve f = 8*p - 0 - 32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of -z**5\/30 + z**4\/6 + z**3 - 3*z**2\/2 + 1. Let h(o) be the second derivative of a(o). Let h(m) = 0. Calculate m.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkkkk. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*x + 92*x + 13767 - 13780 in the form q*x + j and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 0 - (-11 - 8)) + -215 + 215?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 126209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -51115 + 51118. Factor -8\/9*h**z + 2\/9*h**2 + 0 + 8\/9*h - 2\/9*h**4.\nAnswer: -2*h*(h - 1)*(h + 1)*(h + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 - 43*h + 229. Let v be q(6). Let i(l) = 2*l + 14. Let k(f) = 2*f + 14. Give v*i(g) - 6*k(g).\nAnswer: 2*g + 14","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Solve -292*g = 1852*g - 6299 - 9273 - 59468 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5942.948g in tonnes?\nAnswer: 0.005942948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 44842081902 + -13452611487523\/300. Let k = x - 43610. Calculate the common denominator of 131\/6 and k.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*h**5\/2 - 10234*h**4 - 135900*h**3 - 1505*h**2 + 271777*h\/2 + 11739 = 0. Calculate h.\nAnswer: -13, -1, -2\/23, 1, 903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 3)*(2*u + u + 3*u).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 1634*z**2 + 46*z**3 + 2*z**4 - 1632*z**2 - 8*z**3 in the form j*z**2 + a*z + f + w*z**3 + k*z**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-14)*w\/(w\/((w*w**4\/w)\/w*w)))\/(w**0)**4 assuming w is positive.\nAnswer: w**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14152457, 14152454, 14152451, 14152448, 14152445, 14152442?\nAnswer: 14152439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 6*p + 25 = 7*p, -3*h + 40 = 5*p. Suppose 2*w + u = 7, 0 = w - h*u + 3 - 12. Solve -9 = -w*q - 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 4\/609599?\nAnswer: 4\/609599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 608100.\nAnswer: 2, 3, 5, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - -6) + -3 + -5 + 5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + -3023201010312?\nAnswer: -3023201010312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(972) - (sqrt(972)*-1 - sqrt(972)))\/(sqrt(24)\/sqrt(96)))**2 + -3*sqrt(192) + 0.\nAnswer: -24*sqrt(3) + 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 217*f + 18. Let b(n) = -315*n - 27. Determine 5*b(x) + 7*m(x).\nAnswer: -56*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -3965*i**2. Let h(k) = 4403*k. Give z(h(f)).\nAnswer: -76867111685*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + -3)**2*2 + (sqrt(175) + -3 - sqrt(175))**2.\nAnswer: -12*sqrt(7) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 19913.1689 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*x = 25*x + 282 + 366. Let k(o) = o**3 + 4*o**2 - 3*o + 1. What is k(x)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22*j**2\/21 + 73008*j\/7 - 19910\/3.\nAnswer: -2*(j - 9955)*(11*j - 7)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/3 and -133\/3240?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s = -8*s + 3. Suppose s*c + 8 = 53. Solve 3*a + c = 6*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -2\/7, -0.19, 17\/16?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of -35*h**6\/24 + 13*h**5\/3 - 95*h**4\/24 + 5*h**3\/3 + 9*h**2. Let i(d) = 0. Calculate d.\nAnswer: 1\/5, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 4*c - 1. Let u be r(1). Suppose -v + 3*j - 95 = -3*v, -105 = -3*v + u*j. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -33*l + 34*l - 443. What are the prime factors of l?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -25498 - 29494600508.\nAnswer: -29494626006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*k**3 - 2*k**2*t**2 + 625*k**2 - 26*t**2 - 6 wrt k?\nAnswer: -6*k**2 - 4*k*t**2 + 1250*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 9*-0.099\nAnswer: -0.891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 3:23 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*g - 170*g**2 + 84*g**2 + 4 + 84*g**2 to the form s*g + c + z*g**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0100964329965 take away 0.2997?\nAnswer: -0.3097964329965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of -f**5\/30 + 19*f**4\/18 + f**3\/9 - 19*f**2\/3 + 2*f - 124. Find g such that o(g) = 0.\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 - i. Let v(a) = -4 + 7 - 7*a**3 - 2 - 2 + 5*a. Let z(d) = -d**2 + 43*d - 81. Let t be z(41). Determine t*v(y) + 3*o(y).\nAnswer: -4*y**3 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 10*s**2 - 2*s - 28. What is b(6)?\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 67, 16, 4, 25, 0, -4 in descending order.\nAnswer: 67, 25, 16, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -8763, -17504, -26245, -34986?\n\"Answer: -8741*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the first derivative of -k**3\/3 + 7*k**2\/2 + 3*k - 11. Suppose -w = w - 12. Give m(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35678?\nAnswer: 2, 17839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -14, 4, -0.105241?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 - 4*r**2 + 2*r - 4. Let j = -10 - -14. Let s be k(j). Suppose -s*b + 22 = -6. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 3*i + 5 = 0, 0 = -3*g + 2*i + i + 15. Suppose b = -4*j + 24, 0 = -0*b - b. Calculate the smallest common multiple of j and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen eighths of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q**2\/5 + 151436348*q\/5 + 30287270 = 0.\nAnswer: -1, 75718175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 25947?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -53 - -425429?\nAnswer: 4253a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.4 - 1.6. What is the nearest to -0.1 in w, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 196*j = -194*j + 19, -r = -4*j - 11. Which is the nearest to -0.1?  (a) r  (b) -2  (c) 4\/5  (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -32 + 98\/3. Let d = 1.3 + 1.7. Let a = 517 + -517. What is the closest to o in 1\/3, a, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 373522 - -4?\nAnswer: 373526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -0*q + 3*q, 0 = 5*w + 4*q - 6. Let b(k) = -k. Let n(f) = -34*f + 24. Let u(z) = w*b(z) - n(z). What is the first derivative of u(c) wrt c?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1093797*y + 7140 = -1094001*y for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*x - 68 + 64 + 2*x**3 - 7*x - 12*x to the form w*x**2 + q + u*x**3 + l*x and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the second derivative of 0 + 0*m**4 - 1\/30*m**5 + 1\/9*m**3 + 0*m**2 - 6*m. Suppose w(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 4*z**3 - 7*z**2 - 2*z - 1. Give x(-3).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 11*j - 2*j + j**2 + 8 - 6*j + 0*j**2. Let k be b(-3). What is the derivative of 11*r**4 + k*r**4 - 10 - 4 + 12*r**4 wrt r?\nAnswer: 124*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 106, 207 in descending order.\nAnswer: 207, 106, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 2, x: 11, u: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 AM and 4:31 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 6) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*z**2 - z**3 + 4*z**2 + 31*z - 9 - 35*z**2 + 6*z**2 + 3*z**4 + 19*z**2 as c*z**3 + p + y*z**4 + h*z**2 + b*z and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*d = 2*d + 5, -407311*m + 37*d - 16 = -407308*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22 - (-41 + 9)) + 0 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 184 + -31. Suppose 3*w - w - 87 = -5*v, 4*w = -3*v + i. Suppose -5*b - 3*g + 100 = 2*g, b = 2*g + 32. What is the highest common factor of b and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkk. Give prob of sequence kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of -q**6\/120 + q**5\/80 + 5*q**4\/48 + q**3\/8 + 468*q. Suppose u(f) = 0. What is f?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - -6. What is the least common multiple of o and 13?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4977901*l + 4977901*l + 6*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 + i**2 - i + 1. Let s(v) = 5*v + 0 + v**2 - 3 - 4*v**3 - 4*v**2 + 3*v. Let l(n) = -s(n) - 3*z(n). Find the second derivative of l(w) wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1090, -2180, -3270?\n\"Answer: -1090*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -5*q - 27, 3*c - q = q + 16. Suppose -t - 13 = 4*z, -z + 9 = 4*t - c*t. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (56\/2)\/((-4)\/((-28)\/(-56)*-16))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 - 9*v + 129. Let n(o) = 3*o**2 - 17*o + 258. Let g(k) = 3*n(k) - 5*t(k). What is the hundreds digit of g(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -21 + 3*p**2 + 12 + 137*p**4 + 9 + 1 in the form j*p**2 + m + h*p**3 + o*p + s*p**4 and give s.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g - 4*g - g + (-1 + 2 - 2)*(-2 + 2 - g) + g - 3*g + 0*g + 0*g - 3*g + 2*g + g + 0*g + g)*(41*g**2 + 100*g**2 + 45*g**2).\nAnswer: -1674*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the third derivative of -m**6\/360 + m**5\/20 - 3*m**4\/8 + 23*m**3\/2 - 37*m**2 - m. Let q(l) be the first derivative of o(l). Solve q(h) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*p**4 - 5*p**4 - 2*p**4 + (3*p**4 - 3*p**4 + 2*p**4)*(5 - 2 - 1) - p**4 + 3*p**4 + 0*p**4 + 2*p**4 - 1 + 1 - 84 + 84 + 10*p**4.\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 303 is divided by 41?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 380837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.3 - -0.6. Let q = 0.32 + -0.62. Let x = 0.5 + -0.4. Which is the second biggest value?  (a) x  (b) q  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 164*t**5 - 1796*t**4 - 5664*t**3 + 16784*t**2 + 832*t = 0.\nAnswer: -4, -2\/41, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 9*w**2 + 4*w + 2. Calculate the remainder when 41 is divided by j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 7:04 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 53*d - 122. Let b(p) = 36*p - 80. Calculate 8*b(a) - 5*h(a).\nAnswer: 23*a - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 632431.\nAnswer: 23, 31, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91874*w**3 + 34007*w**3 - 28647*w**3.\nAnswer: -86514*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {e: 2, f: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 - 2 - -41)\/((-19)\/57). Let f = w - -334. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - 55?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 97307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 207233630 divided by 5.\nAnswer: 41446726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 248*a = 248*a - 500*a + 137, 21 = 2*a - 43 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 57*a*g**4 - 166*a*g**3 - 432*a - 32*g**2 wrt g.\nAnswer: 1368*a*g - 996*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/6*8\/36.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 PM and 10:34 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*g**2 - 62*g**2 - 9*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6 + -2644229.4?\nAnswer: -2644228.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that a**2 + 4009794*a - 8019592 = 0.\nAnswer: -4009796, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14 and 269715173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.7 greater than or equal to 1365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4*37\/((-4588)\/279))\/(15\/(-3))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 1. Let a be (-5)\/10 + (-39)\/p. Is (-17)\/(-4) + 5\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 833665631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 3*n**2 + 19*n - 7. Determine s(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2\/9, -4, 5 in decreasing order.\nAnswer: 5, 2\/9, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11244 + 11272. Calculate the highest common divisor of 245 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fkfzffjfffffz. What is prob of sequence jkz?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 144 + -24 + -46 - 46?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 408353, 408382, 408411, 408440, 408469?\nAnswer: 408498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-22)\/30*-11 + 28\/(-4). Let b = -1234759\/57165 - 1\/11433. Let p = y - b. Find the common denominator of p and 34\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104602 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10*(20\/(-8))\/(-5). What is the second smallest value in -0.05, -1, j?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y = -p + 8, 0 = 4*p - 105*y + 107*y + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the second derivative of 2\/3*x**4 + 134*x + 3*x**2 + 1\/20*x**5 + 7\/6*x**3 + 0. What is u(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*i + 5*i**5 + 7*i + (6*i + 4*i - 2*i)*(-2*i**4 + i**4 + 6*i**4).\nAnswer: 45*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 168 + -24.1. What is z rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4911535*t**2 - 3406208*t wrt t.\nAnswer: 9823070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/44 and 1\/66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 5*i, d + 96 - 84 = 3*i. Is -158\/105 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**0\/s*(s\/(s\/((s\/(s\/(s*s\/(s**(5\/4)\/s*s))*s))\/s)))\/s)**(-2\/13)*(s*s**(-10)*(s**(2\/15)*s*s)\/s)**(1\/6) assuming s is positive.\nAnswer: s**(-73\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hrhr when four letters picked without replacement from {u: 1, r: 4, h: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 3*k + 92 = 0, -2*v = -k - 3*k + 88. Is 4 - v\/(-14) - 2838\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 37*y**2 + 0*y - 40*y**2 + 1 + 2*y + 4*y**3 to q*y + l*y**3 + r*y**2 + c and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7.6 + 7.8. Which is the smallest value?  (a) 0.3  (b) -1.3  (c) 2  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -136.42 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 336155624 to the nearest integer?\nAnswer: 18335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9, 14, 43, 108, 221, 394, 639?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 13*g - 14 = -14*g, -g + 2 = 0. Solve -4*x + k + 4 = -3*k, -l = x + 3*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 35 and 65.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together 74 and 57952607.\nAnswer: 57952681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1727 = -10*i - 39*i + 1017. Solve i*b = 33*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7\/10 in -0.4, -5, -154?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 + -2*3\/12*306\/(-45). Which is the nearest to k?  (a) 0  (b) 1\/4  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 4*y + 180. What is the greatest common factor of y and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 130 and 292130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -14 - 21 - 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) 0.3  (c) 92  (d) -2\/11  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 1 = 2*z, -2*v = -2*z + z - 8. Suppose h - w + 40 = 0, -2*w = -v*h - h - 152. Is h bigger than -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(17) - sqrt(17)*2 - sqrt(17))*-4.\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.07 or -2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 2*p - 35 = 67, m - 69 = -5*p. What is the greatest common divisor of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 AM and 12:25 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 677*g**4 + g**3 - 2293*g**2 wrt g?\nAnswer: 16248*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 1\/5  (b) -72  (c) -2\/3  (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*w + 48 = -30. Let k(x) = x**2 - 7*x + 7. Give k(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 32619 and 262917.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 550\/150*174\/319?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 27 = -2*b, -4*m + 2*b = 3*b - 36. Solve 7*x = 2*x + i + 3, -3*i - m = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7836 rounded to the nearest one hundred?\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1658*u + 122*u - 56832 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 267390 and 6570.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - t**2 + 14 - 11.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/2  (b) 2.9  (c) -4  (d) -0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 233523207 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 take away 2955?\nAnswer: -2961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add 76.6 and 199797.\nAnswer: 199873.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 855 and 4681?\nAnswer: 4002255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1748 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/2208 and 19\/20160144.\nAnswer: 40320288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 2\/9, -10, -0.03, 2\/3, -2, -25\/6, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 40, 154, 316, 508, 712, 910?\n\"Answer: -3*m**3 + 42*m**2 + 9*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((l\/(((l*l*l**(-2\/17))\/l)\/l*l))\/l)\/l)\/l)\/l)\/l)\/l*l\/(l*l**(-2\/5))*(l**(2\/5)\/l*l)**35 assuming l is positive.\nAnswer: l**(724\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 2082 divide 940470630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8425*o + 193*o + 4393*o + 3351*o - 235*o - 2212*o.\nAnswer: 13915*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.18 in 0.13, -269, 3, 1?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 923 - 119*n**3 + 116*n**3 + 513 - 1436.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, a: 10}. Give prob of picking 1 k and 3 a.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fux. What is prob of sequence xfu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 238 = -d - 21*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.198 - 18.398. Let z = r + 18.5. Sort 1\/7, z, -0.3, -1 in ascending order.\nAnswer: -1, -0.3, 1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 12*l**2 + 70*l - 9. Let o be w(-6). Factor -4\/19*z - 2\/19 + 2\/19*z**4 + 0*z**2 + 4\/19*z**o.\nAnswer: 2*(z - 1)*(z + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 - 23*m - 10. What is the tens digit of d(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11?  (a) -0.03  (b) 4  (c) 121  (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(2\/(-6)*1). Let w = 39 - 53. Let h be ((-72)\/(-42))\/(-1 - 18\/w). Solve 3 = -t*g - h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -199\/7 - -197\/7. Let x = -2.9 - 1.1. What is the closest to 0 in x, z, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -118 + 178. Calculate the greatest common divisor of h and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 3*o - 24. Let a be 1\/3 + 790\/6. Calculate the greatest common divisor of o and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -5*f + 4*b, -8*f + 5*b + 20 = -3*f. Let i = -0.14 - 0.16. What is the nearest to f in -0.2, 2\/7, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -t**5 + 399*t**4 - 19831*t**3 + 215181*t**2 - 512680*t + 316932 = 0.\nAnswer: 1, 2, 11, 42, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*y + 159*y + 3588 = -127*y - 138*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 5*t - 895, -2*t = 3*a - 353 - 15. Suppose t*m - 179*m - 10 = 0. Solve -c = -w, 0 = 2*c - m*w + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-12)*(-1)\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9519.\nAnswer: 3, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -33*q**4 - 194*q**3 - 128*q**2 + 177*q + 110. Let i(a) = 8*a**4 + 48*a**3 + 32*a**2 - 44*a - 28. Let y(u) = 4*c(u) + 17*i(u). Factor y(o).\nAnswer: 4*(o - 1)*(o + 1)**2*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 10*z - 2. Let f(x) = x**2 + 52*x - 8. Let a(q) = -2*f(q) + 11*m(q). Let u(k) = 2*k**2 - 7*k + 5. What is 5*a(y) + 6*u(y)?\nAnswer: 2*y**2 - 12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*n - 1358 + 496 - 38 - 1520 = 0 for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 943*p**2 + 8160391 + 2*p - 5*p**3 - 8160391.\nAnswer: -5*p**3 + 943*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1295184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 - 10*d**2 + 23*d - 66. Is 47 a factor of p(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 17*n = 90 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -24805, -36536, -48267, -59998, -71729, -83460?\n\"Answer: -11731*c - 13074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 17 = -26*y. Sort 2, 13, 6, y.\nAnswer: y, 2, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*g**3*k*x**2 - 85*g**3*x + 7*g**3 - 5939*g**2*k*x**2 + 2*g**2 + 3*k - 2*x wrt x?\nAnswer: -6*g**3*k - 11878*g**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5 - 0)*(-2 + 1). Suppose -d*k + 17 = n - 3*n, -2*k - 4*n = -26. Let b(h) = -2*h**2 + 18*h + 60. Let x be b(11). Solve -r + x = -k*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 133 - 133 + 2*m**2. Let z(c) = 5*c. Give f(z(s)).\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 469?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.8 + 3.2. Suppose -5 = 2*x - 3*x + 4*o, -2*o - 1 = -x. What is the nearest to 0.3 in r, -2, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sbw when three letters picked without replacement from ywytwxsb?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 - -19. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-54)\/48)\/(55\/(-15)) + (-13)\/104\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -662349, -662353, -662355, -662355?\nAnswer: -662353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12700000 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 152 = -4*f + 2*n, 5*n + 70 = 2*f. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -125, 1219, 2563, 3907, 5251?\nAnswer: 6595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + 20\/6 - 4)\/1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -593*h**3 + 2*h**2 - 6*h - 11. Is a(-3) a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 3*i - 644, 4*i + i + 2*x - 1082 = 0. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 20*c = 145 + 24, 0 = -4*b - 2*c + 28 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -1290*u + 33470. Give g(26).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12.75 - -13. Let s = 3 - 3.05. Let l = p + s. Which is greater: 2\/7 or l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 7  (c) -70  (d) -4  (e) -2\/9  (f) 0  (g) 40\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**6\/u**3*((u*u**1*u*u)\/u)**(-1\/2) assuming u is positive.\nAnswer: u**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 0 + 0 + 12*t. Let a(b) = -101*b + 37*b + 0*b + 29*b + 14*b**2 + 35*b. Determine x(a(c)).\nAnswer: 168*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22 is divided by (-107)\/(-9) - 3\/(-27).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-232)\/(-3654)*(-7)\/6.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -2 + 5 - 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22120222112102 - 2?\nAnswer: -22120222112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.2 and -2117309588521.\nAnswer: -2117309588521.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2537803?\nAnswer: 2537803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + 1*(sqrt(242) + sqrt(242) + 1 + sqrt(242) + sqrt(242)))**2 + -2)*-4.\nAnswer: -15544 + 1408*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (14712\/15)\/(9\/45).\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*w**2 + 4*w**2 - 14*w**2 - w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 523890176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -78*t - 456. Let s be j(-6). Solve -3*g = g - 4*l + 16, 3*l + s = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 - 5*h**2 - 15*h + 6. Let f be d(7). Let n be ((-6)\/5)\/(4\/(-10)). Which is the nearest to f?  (a) -2\/7  (b) n  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35175658081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -161 + (5 - (0 + -78)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.23 - -107.96973\nAnswer: 108.19973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 + 5*y**2 + y - 1. Suppose -o + 2*f + 20 = 0, 0 = 2*o + 2*o - 5*f - 65. Calculate the remainder when o is divided by d(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-26)\/6 + (-230)\/(-69) + (0 - 0). Let g = 738 + -5174\/7. Which is greater: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 223 - 108. What is the remainder when (7038\/w)\/(2\/5) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 84*f**2 - 18*f + 34. Let x(w) = 54*w**2 - 12*w + 22. Determine -5*d(v) + 8*x(v).\nAnswer: 12*v**2 - 6*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30578 - 13781. List the prime factors of p.\nAnswer: 3, 11, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of -z**5\/270 + z**4\/12 - 8*z**3\/27 - 5*z**2 + z. Solve r(g) = 0 for g.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2c1 (base 13) to base 5\nAnswer: -3440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.4682 - 1903\nAnswer: -1902.5318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 83.7 + -83. What is the smallest value in 0.3, 2, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8820 and 938520?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 259389794 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of -1\/9*t**3 - 1\/2*t**2 + 0*t + 5\/72*t**4 - 1\/90*t**5 + 2. Let s(i) be the second derivative of m(i). Solve s(a) = 0 for a.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = 12*t + 15 + 238, 42783*t + 43 = 42781*t + h for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -274, -258, -226, -172, -90, 26?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of j**3\/3 - 2. Let i(u) be the second derivative of u**3\/3 - 15*u. What is i(z(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 PM and 10:19 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 126 = -19*z + 14*z - 9 + 32, -9*z + 5*s = -178 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2. Let l(c) = -3*c**2. Let d(p) = -9*g(p) + 2*l(p). Let m(j) be the third derivative of j**5\/30 - j**2. What is d(m(b))?\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of 29*o**3\/3 - o**2\/2 - 42*o - 45. Differentiate t(d) with respect to d.\nAnswer: 58*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4702 is divided by 82?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -273 - -973. List the prime factors of z.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 119.2136 - 0.1136. Let s = w - 120. What is the closest to -1 in 8, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, g: 3, w: 3, t: 6}. Give prob of picking 4 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 6127*c**3 + 13*c**2 - 7*c + 27. Let g(x) = -2044*x**3 - 4*x**2 + 2*x - 8. Calculate 7*g(k) + 2*s(k).\nAnswer: -2054*k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34284038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the first derivative of s**3\/3 + s**2\/2 + 3*s + 252. Give u(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -11, -32, -67, -122, -203, -316, -467, -662?\n\"Answer: -m**3 - m**2 - 11*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001010 + 101010111?\nAnswer: 100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide ((2 + -3)*-42)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*o + 1 - 1)*(6*o + 32*o - 3*o - 2) to the form d*o + g + b*o**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3035, -5615, -8207, -10817, -13451?\n\"Answer: -t**3 - 2573*t - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 4569 = 5*u, -5*s - u = 3*u - 5700. Suppose -4*b = -2*h + s, 5*b = 9*b + 4. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*c + 2166*c = 369*c - 582*c + 15764 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(34) + 2*sqrt(34)*2 + sqrt(34) + -1*sqrt(3400))\/(3*(sqrt(200) + 4*sqrt(200)) + sqrt(200) + sqrt(200)).\nAnswer: -2*sqrt(17)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1062993576.\nAnswer: 2, 3, 23, 1013, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14499, -58073, -130719, -232455, -363299, -523269, -712383?\nAnswer: -930659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 116\/18 + 428\/(-963) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2087825 + 0*f - f - 2087863 + 4175688.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s + 2*l - 11, -5*l = -2*s - 11 - 3. Solve 4*o = -s + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -43.7 + 0.7. Let o = l + 48. Which is the third biggest value?  (a) o  (b) 1\/2  (c) 2  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 7*m - 96. Let h be ((-2)\/3)\/((-4)\/m). Let s = -14 + 9. Put s, -3, h in decreasing order.\nAnswer: h, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26743006 a multiple of 2567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2120910 and 330.\nAnswer: 2120910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8136 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 696088695?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17566, 140917, 475790, 1127947, 2203150, 3807161?\nAnswer: 6045742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6676655 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -121 - 163610?\nAnswer: -163731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.000015512977 to 7 decimal places.\nAnswer: -0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 5*q = 0, 4*k - 4*q = -0*q. Suppose -b - 2*b + 363 = k. Suppose -3*d - 3*l - 2*l + b = 0, -d + 17 = -3*l. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 492220?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 + 3*t**2 + 3*t. Let b(z) = -3*z**3 + 7*z**2 + 7*z. Suppose 0 = i + 4*g - 17, 4*i + 5*g + 2 = 15. Determine i*b(w) + 7*d(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 39358071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19690*c + 214607 = -257953 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 52143 and 74490.\nAnswer: 521430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8640) + -2*sqrt(8640) + (sqrt(60)*3*-3 - sqrt(60)))\/((-5*sqrt(132)*-2)\/((2*sqrt(88))\/sqrt(8))).\nAnswer: -22*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**2 + 2*u**2 - u**3 + 3*u + 0*u**2 - u. Suppose t + 2*p = 10, 2*t - 7 = -5*p + 14. Calculate the smallest common multiple of i(2) and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u - 15. Let b be 4*(75\/(-12) - 0). Let o be c(b). Solve 4*x - o = -2*z, 0*z + x - 6 = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3520 + 10.\nAnswer: 3530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 3*v + 48. Let m be j(-15). Let i(r) = 2*r**2 - 2*r + 2. What is i(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 less than -9137?\nAnswer: -9136.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -0*u - u + 5, -4*u - 22 = n. Let v(d) = -4*d - 2. Give v(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3186991*s**4 - 3*s**3 - 24106443*s**2 wrt s?\nAnswer: 76487784*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -86*o + 3890. What is the units digit of w(-67)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6\/11, -57\/2, 35, -2, 5, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10642 + 777*z - 5329 + 839*z - 5318.\nAnswer: 1616*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1628\/9385 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tgggtgygeeggtt. Give prob of picking 1 e, 1 y, and 1 t.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8382 and 1016.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10111101110001101 + 101111?\nAnswer: 10111101110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(((-4)\/10)\/(456\/30)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 717 != 40826\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -66586*r**4*w**3 - 3*r**3*w**3 - 2*r*w**2 + 808*r + 175*w**3 wrt r?\nAnswer: -799032*r**2*w**3 - 18*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4386286\/255 - -17201. Find the common denominator of t and 19\/15.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1169 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the second derivative of 0 + 0*k**3 - k + 11\/6*k**4 + 0*k**2. Let p(x) be the first derivative of -x**2\/2 + 423. Determine p(q(b)).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pye when three letters picked without replacement from yerejyeymeyjprey.\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - 2)*(17 + -16). Let u be 1\/3 - (-17)\/(-24). Let m = u - 1\/8. Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d + 1. Let k(z) = 2*z + 3. Let r(y) = 3*a(y) - k(y). Let x(v) = 2780*v**2. What is x(r(m))?\nAnswer: 2780*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/4 + 3\/12. Which is the closest to -0.1?  (a) 2  (b) i  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*w + 0*w - 4*w - 14*w - 108*w**3.\nAnswer: -108*w**3 - 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of v**6\/45 + v**5\/20 + 7*v**3\/6 + 2*v**2. Let j(i) be the first derivative of d(i). Find the second derivative of j(z) wrt z.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 5*t + 6 = 0, -3*g = -0*g - 2*t - 9. Suppose a - 4*a + 4*r = -148, 0 = -3*a - g*r + 120. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4285 and 0.311148.\nAnswer: 4285.311148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, 2, -756605 in descending order.\nAnswer: 26, 2, -756605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-25*j + 6 + 71*j + 5*j)*(4*j**3 - 4*j**3 - 9*j**3) to the form n + o*j**3 + y*j + r*j**2 + v*j**4 and give o.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 5*q**3 + 16795*q**2 + 250800*q = 0.\nAnswer: -3344, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 305183 divided by -29.\nAnswer: -305183\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rpona. What is prob of picking 1 n and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3 + -3 + 3)*1. Suppose 0 = c*i - 5 - 4. What is the second derivative of -15*d**3 - 23*d + d**i + 18*d wrt d?\nAnswer: -84*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 5*w = -2*g + 10, 2*w = -2. Suppose -4*u + 240 = 2*u. Suppose -g*y = -2*y - u. Solve 4*r - 16 = -3*b, -3*r + 3 - y = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of -1\/6*n**3 - n + 0 + 2*n**2 - 1\/12*n**4. Determine m(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 13508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = 4*g + 20, 3*g + 177*y - 178*y = -13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1370 + 26*a - 50*a**4 + 414*a**4 + 20*a - 46*a with respect to a.\nAnswer: 1456*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: -0.4 times -14912929\nAnswer: 5965171.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1673532 divided by -7308.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2427607 and 424242?\nAnswer: 43696926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24, -154, -326, -516, -700, -854, -954?\nAnswer: -976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 34060 not equal to 34063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z**4\/3 + 255*z**3 + 3713*z**2\/3 + 720*z - 784\/3 = 0.\nAnswer: -4, -1, 1\/4, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118 = 2*j - 5*c, 0 = -5*j + 2*c + 371 - 97. Suppose 5*k - 4*i - 226 = 0, 3*i - j - 133 = -4*k. Is k a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3200 and 13300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**3 + 327*g**2 - 3197*g**2 + 1123145*g - 182245*g - 1010*g**2.\nAnswer: 4*g*(g - 485)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 416, 848, 1280?\n\"Answer: 432*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -v**3\/2 - 2011*v**2 + 10138635*v\/2 = 0.\nAnswer: -5777, 0, 1755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 15, k: 4}. What is prob of sequence kk?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -102773, -205547, -308321, -411095?\n\"Answer: -102774*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 - -17 - (1 - 5 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 AM and 12:07 PM?\nAnswer: 214","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.00077358008 rounded to seven dps?\nAnswer: -0.0007736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 517816 and 6016?\nAnswer: 389397632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*y + 3*y - y to w*y + g and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, f: 1}. What is prob of sequence fq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 22424094109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1890814552.\nAnswer: 2, 11, 37, 580717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13433\/2 + -100624\/15. Let y = 1277\/105 - a. Calculate the common denominator of y and (21\/(-2))\/(6\/(-26)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 473 and 1845173.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(3*(-1)\/(-3)). Let u be (-16 - m)*1*-363. Let l = 43497\/8 - u. Find the common denominator of l and -77\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hwvhbwbwblhjbvhvhw. What is prob of picking 1 h, 1 j, and 1 w?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 6:38 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 6*k**3 + 36*k**2 - 40*k + 19. Let b be g(-7). Sort -3, 1\/5, b, -5, 12.01 in increasing order.\nAnswer: -5, -3, 1\/5, b, 12.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z*z*z**0*z)\/z)**20)**(2\/77))**(19\/4) assuming z is positive.\nAnswer: z**(380\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**3 + 3*c**2 - 2*c - 3. Suppose 15 = 3*w + 3*l, -2*l + 6 - 2 = -w. Suppose k + w*k = 21. What is the remainder when k is divided by i(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 5, u: 13}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (1246\/(-28) - -35) + 10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7 and 1769789.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.2865 and -0.2.\nAnswer: 0.6573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4401 - -1?\nAnswer: -4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9.7 - 9.5. Which is the fourth biggest value?  (a) 0.1  (b) -2  (c) l  (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 155164.9 - 1\nAnswer: 155163.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(-2)*(-2)\/1. Suppose 0 = -5*j, -j - j + 108 = l*t. Calculate the highest common factor of t and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7649327?\nAnswer: 7, 71, 15391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + o + 4 = 0, 5*o + 14 + 0 = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/56212 and 15\/20332.\nAnswer: 955604","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/9)\/b**2*(b**2)**(3\/11))\/((b**(2\/3)\/b)\/(b\/(b*b**(-1)))*(b**1)**(-8\/9)) assuming b is positive.\nAnswer: b**(65\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of 111*i**4\/4 - 79*i**2\/2 - 53. Find the second derivative of n(d) wrt d.\nAnswer: 666*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1235, 1225, 1213, 1199, 1183, 1165, 1145?\n\"Answer: -a**2 - 7*a + 1243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f**3 - 14*f**2 - 15*f + 23. Does 2 divide j(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 128435?\nAnswer: 5, 17, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -52 - -52. Suppose y = 32*j - 33*j + 198. Let s = j - 99. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19087214717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 6790644.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*w - 58 = 1202 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -180909 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of 94*b**4 - 7515*b**2\/2 - 401*b. What is the derivative of y(d) wrt d?\nAnswer: 2256*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -120, -16, -5, 6?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 4 + 5 = -5*g, -g - 1 = 0. Let i be (4 + 0)\/(4 - 2). Suppose 8 = -i*d - 0. Is r greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*g = 88*g - 595. List the prime factors of g.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3571 + 0.1185.\nAnswer: 3571.1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c*(c\/((c**(-3)*c)\/c*c))\/c)\/(c*c\/c**7))\/(c*c**0)**6)\/(((c*c\/c**3)\/(c**(2\/9)*c))\/(c**(7\/4)\/c**(1\/4))) assuming c is positive.\nAnswer: c**(121\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2964 = -11*w. Let b = w + -223. Suppose 150 = 3*s + 2*s. What is the smallest common multiple of b and s?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -334, -525, -576, -493, -282?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 110 and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 + 3*y**2 - 6*y + 13. What is d(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:12 AM and 2:53 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (70\/(-15))\/((-20)\/15)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 267 and -0.5.\nAnswer: -133.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1038*u - 874*u = -2132 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3\/2 + -1 - 1813\/(-14).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of t**2 + 1\/12*t**4 - 6*t + 0 + 0*t**3. Let h(m) = -59*m. Determine h(b(c)).\nAnswer: -118*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, 3\/5, -0.3, -1\/16, -8, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 9*j**2 + 8*j. Let b be z(-2). Suppose -2*m = 3*m - 30. What is the third derivative of 2666 + b*q**3 - m*q**2 - 2666 wrt q?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -136*q**2 - 67356*q**3 - 67557*q**3 + 134911*q**3 + 136*q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jbjccbkmkcjcjjbjmg. Give prob of sequence cg.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*t + 9*t + 7*k - 35, -3*t = 5*k - 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 71 + 73 = 0. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3*(-6)\/(-9)*2. Let u be 2 + (-4)\/((-12)\/9). Let p(l) = l**3 - 9*l**2 + 8*l. Let w be p(8). Sort k, w, u.\nAnswer: k, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 150*y**2 + 6*y + 1 - 6 - 147*y**2. Suppose 2 = a - 4. Let o(c) = 7*c**2 + 13*c - 11. Give a*o(u) - 13*m(u).\nAnswer: 3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 23 or 37221\/1693?\nAnswer: 37221\/1693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.05 - 3.05. Let b = 11 + -11. Let i = u + b. What is the biggest value in -0.6, -2\/5, i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 2\/363?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46, 518, 1816, 4354, 8546?\nAnswer: 14806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 130311 (base 4) to base 16\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4471, 18002, 40545, 72094, 112643?\nAnswer: 162186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kiii. What is prob of picking 2 i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 17708 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 56*l**2 - 2*l + 6. Let f(u) = 110*u**2 - 3*u + 10. Determine 5*a(k) - 3*f(k).\nAnswer: -50*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -139823, -139813, -139805, -139799, -139795, -139793, -139793?\n\"Answer: -c**2 + 13*c - 139835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 42, 31, 4, -45, -122, -233?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, 37, -2, -5 in ascending order.\nAnswer: -5, -2, 0, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -1129*u**2. Let d(v) = 111*v - 2. Give d(p(a)).\nAnswer: -125319*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 216, 371, 518, 651, 764?\n\"Answer: -s**3 + 2*s**2 + 156*s + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -74 - -313. Suppose v = y - 61, -r = -3*y - y + 3*v. Suppose -5*o = 5*w - 10*o - 50, -o + y = 5*w. Solve -k + w = 2*d + d, -4*d = -4*k + 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3475319 millilitres to litres.\nAnswer: 0.0003475319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of 95*t**8\/168 - t**6\/60 - 43*t**4\/24 - t**3\/2 + 15*t**2 + 9*t. Find the second derivative of u(q) wrt q.\nAnswer: 3800*q**3 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.11, 2, 3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*c**4 - 319*c**3 + 517*c**2 - 41*c - 148.\nAnswer: -(c - 1)**2*(c + 37)*(9*c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -159050 + 318113 - 4*h**3 - 159063 - 3*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*u - 18. Let m = 9 + u. Let o = -12 + m. Which is the smallest value?  (a) o  (b) 1\/5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 44676 and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 190548760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1875, 2754, 3657, 4596, 5583, 6630, 7749, 8952?\n\"Answer: 2*n**3 + 865*n + 1008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 12*b**2 + 2296*b + 108132. Let c(k) = -4*k**2 - 766*k - 36037. Let w(m) = -8*c(m) - 3*o(m). Factor w(i).\nAnswer: -4*(i + 95)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t**5 + 3*t**5 - 2*t**5 + (4*t - 4*t - 2*t**4)*(-t + 3*t + 0*t).\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -1\/3, -4, -29\/13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 6576 = 3*p, 4*t + 2220 = 348*p - 347*p. What is the smallest common multiple of p and 366?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mug when three letters picked without replacement from {l: 1, u: 4, n: 1, g: 3, m: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*t**2 - t + 5 + 9 + 7*t + 10*t = 0. Calculate t.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + 0 - (3 + -13 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of -3*c**6\/10 + 33*c**5\/25 - 19*c**4\/20 - 11*c**3\/5 + 12*c**2\/5 - 4*c\/5 + 243. Find j, given that o(j) = 0.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1731532 rounded to the nearest 1000?\nAnswer: 1732000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2*n**2 - 7*n - 8. What is l(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2958*b + 21052 = 41113 + 89986 + 120677 for b.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -w**2 - 2*w**2 + 4*w**2 - 4*w**2 as g*w + r*w**2 + y and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3339545425 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 7186506.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -12534 (base 6) in base 7?\nAnswer: -5425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -6*c**3 + 4*c**2 + 2*c**3 + 3 + 5*c**3. Let v be d(-4). Let p(a) = -3 + 2*a + v. Let g(t) = -3*t. Calculate g(p(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2315847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 smaller than -0.193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 35*m + m**2 - 17*m**4 + 12*m**4 + 40*m - 20*m**4 wrt m?\nAnswer: -300*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 11*l - 17. List the prime factors of k(9).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -4\/5, 5, -2, -1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2881 + -2881.0000013539. Round q to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 415864?\nAnswer: 2, 227, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.068 + 0.153. Let u = 1.1 - 1.093. Let k = u - f. What is k rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes before 3:13 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 42 - -101. Let y = -77 + x. What is the highest common factor of y and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3691*r - 3686*r = 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*x + x. Suppose 4*z + x*o = -z + 349, -2*z - 4*o + 134 = 0. Suppose -q + 232 = z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1198736 divided by -1078.\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + 56\/(-21))\/((-340)\/1749 - (-96)\/528).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + a = 6*u - 842, a - 1048 = -5*u. What is u rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u - 2. Let f = -25 + 26. Let w(d) = 8*d + 16. Let m(x) = f*t(x) - w(x). Calculate the remainder when m(-12) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 66?  (a) 162  (b) 1  (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 177 + -65 + 11 - (24 - (0 - -1))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 4:14 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 - 16929*d + 16923*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 62*l. Let a be ((-6291)\/(-369) - 17) + (-363)\/(-123). Let c(p) be the first derivative of -1\/3*p**a + 0*p + 0*p**2 + 10. What is z(c(d))?\nAnswer: -62*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 1090596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirteen quarters of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, 4, 1, -27, 6233 in decreasing order.\nAnswer: 6233, 5, 4, 1, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -5\/4, 0, -0.04, 10?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -69502.2626 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 212878065?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 - b**2 + 3*b - 1. Let o be d(2). Let c(r) = 0*r - 7 - 2*r - 5 - 2. Let t be c(o). Solve -3*l = p - 8, t*l - 17 = 3*l - 4*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y. Let v(x) be the second derivative of 527*x**4\/12 - 21*x**2\/2 - 12279*x. Determine v(m(l)).\nAnswer: 527*l**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -9800.\nAnswer: -1\/4900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of y**4\/48 + 3*y**3\/4 - 5*y**2 + 204*y - 276. Let i(j) be the first derivative of n(j). Let i(w) = 0. What is w?\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 - ((-18)\/1)\/2. Suppose 5*r = -2*l + 49, 0 = 5*l + 4*r - 88 + p. What is the greatest common factor of 18 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -233 - 92297*g + 462 - 229 - 62252*g.\nAnswer: -154549*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*h - 533 = 31*h + 6*t, 0 = 5*t + 15. Calculate the greatest common factor of 11639 and h.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 1:58 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35983?\nAnswer: 35983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the second derivative of -28*v**3\/3 - 47*v**2 - 61*v. Find the first derivative of k(u) wrt u.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 + 8. Suppose 83*c + 52*c - 20*c + 230 = 0. Let v(b) = b**2 + 4. Determine c*g(y) + 5*v(y).\nAnswer: 3*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifteenth of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-4) + (-6)\/(-4). Let f(q) = -q**2 - 13*q - 35. Let k be f(-9). Let c = m - k. Solve 0 = -n - c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 PM and 7:30 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 10 = -2*o. Suppose 2*s + 1 - 55 = u, -4*u - 54 = -2*s. Let r = o + s. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -k**5 - 19*k**3*t**2 - 1498*k**2 - 3*k - 14964*t**2 wrt k?\nAnswer: -20*k**3 - 114*k*t**2 - 2996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1261637, -1262221, -1262805, -1263389?\nAnswer: -1263973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 20, -0.5, 2, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.072 - 5?\nAnswer: -5.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t - 9 = -4*v - 3, -v = 7*t - 39 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 28\/3 + (-4)\/(-6). Let s = v + 2. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -342671, -685563, -1028457, -1371353?\n\"Answer: -x**2 - 342889*x + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2179802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -39.59 + -1.73. Let j = q - 0.68. Let d = j + 41.99905. Round d to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*n**2 + 24*n**2 + 13*n**2)*(1 + 2 - 1) + (-n - 2*n + 4*n)*(-n + 0 + 0) - 3*n**2 + 0*n**2 + 5*n**2 to the form b*n + i*n**2 + p and give i.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6342647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 197653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**4 + 2169*q**3 + 3*q**2 - 2169*q.\nAnswer: -3*q*(q - 723)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 71340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -425\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -7736, 30, 0, -0.3 in decreasing order.\nAnswer: 30, 0, -0.3, -2, -7736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.085 - -53.915. Let k = -54.0119 + p. Round k to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87804109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*u + z - 12, 0 = 3*u + 4*z - 526 + 535 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -1, 0.056, -229.27?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -5466 and -5468 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 3*u + 142. Let i = u - 83. Let k(c) = c**3 + 13*c**2 + 2*c - 52. Does 41 divide k(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*b = 44*b. Solve -4*h = 3*t, 0 = h - b*t - 3*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(7)*4 + (sqrt(7) + -1)**2*2 + 3.\nAnswer: 19 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*k + 8*k + 8*k = 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 5) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38 = 75*b - 39*b - 250 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17912, 17896, 17854, 17774, 17644?\nAnswer: 17452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/t**(-1\/10)*t)\/t**(-8))\/(((t\/(((t*t*t*t\/(t\/t**(-3\/5))*t)\/t)\/t))\/t)\/(t\/t**1*t*t)))**(8\/9) assuming t is positive.\nAnswer: t**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 405459 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74*n - 18*n = 3248. Suppose -3*a - 101 = -6*a - 4*r, -2*a + 29 = -5*r. Let l = n - a. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3040 (base 6) to base 4\nAnswer: -22200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1 + 1.4. Let d = s - 1.3. What is the closest to 0 in -5, 1\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -65*z - 5131. Let x be m(-79). Solve -4*o - 15 = -f, -4*o - 17 = -3*f - x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 306000 and 180000.\nAnswer: 3060000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-61)\/((-3843)\/108))\/((-3)\/(-14)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 6 - 1)*(-4*f + 2*f + 0*f) - 1 + 1 + f - 7*f + 5*f + 70*f)*(40*f**4 + 82*f**2 - 82*f**2).\nAnswer: 2600*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4984)\/(-8544)*(-6)\/(-35)*4\/13.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the third derivative of w**6\/60 - 3479*w**5\/30 + 6955*w**4\/12 - 1159*w**3 + 14970*w**2. Factor f(v).\nAnswer: 2*(v - 3477)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-3 + 49\/16). Let g(x) = 21*x**2 - 2. Let f be g(-2). Suppose -f - q = -2*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 1:42 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*t + 9*p - 51 = 13*t + 4*p + 5, -5*t - 185 = -17*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**3\/5 - 141*d**2\/5 - 1549*d\/5 + 5889\/5.\nAnswer: (d - 151)*(d - 3)*(d + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -10*b**3 - 8*b**2 - 12*b + 10. Is 10 a factor of f(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*n**3*s*u*z - 2*n**3*s*u + 2*n**3*u - n**3*z + n**2*s*z - 2*n**2*u*z - 2*s*z - 20*u wrt n.\nAnswer: 18*s*u*z - 12*s*u + 12*u - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = 45*s - 130, -4900*s = 3*m - 4904*s + 55 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27566, -55077, -82562, -110009, -137406, -164741, -192002, -219177?\nAnswer: -246254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/9, -11.64, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of v**6\/120 + 7*v**5\/60 - v**4\/8 + v**3\/6 - 2*v**2. Is a(-7) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35022 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3638 + 5372 = -2*s - 2*v, -2*v = -4*s - 18002. Let i be (-34)\/51 - s\/3. Calculate the highest common factor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 785, -1, -6068, 7.\nAnswer: -6068, -2, -1, 7, 785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -482 + 519. Suppose u - 46 = -s, -2*u = -s - 4*s + 195. Let t = s - a. Solve t*n + 0 = -8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -52 - -52.27. Let n = -1.11 - -2.88. Let f = n - x. Which is the closest to 1?  (a) -3  (b) 4\/3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, 3, 20?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from piizihczzippcwi. What is prob of sequence chz?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (-10)\/(0 + 5))*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1234892 + 815028911\/660. Calculate the common denominator of -17\/600 and q.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16957 is divided by 220?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = -2*b + 26, -2*r + 5*b - 224 + 217 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.093907685738 and 0.16.\nAnswer: 0.066092314262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/15  (b) 9  (c) -4  (d) -5  (e) -2\/33  (f) 32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 12, n: 6}. Give prob of picking 2 t and 2 n.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 141750?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mh when two letters picked without replacement from {m: 1, y: 1, e: 2, h: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) -23.078  (c) -3  (d) -3250  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -13*x + 282. Give h(18).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -234.5 - -236.5. Let r = -16 + 14. Let d be r\/(-1) + 22\/(-10). Which is the nearest to -0.1?  (a) 3  (b) d  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -0*q + 95. Let k = q + 5. Suppose 2*d - k = -d. Solve -d*v - 10 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -31 - -29. Which is the closest to -7?  (a) z  (b) 1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (54*(-765)\/2430)\/(-1*(-1)\/(-5))\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 90 and 48798.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes before 3:31 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6312*n**3 - 2*n - 1166 wrt n.\nAnswer: -37872*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-980)\/147*(-2)\/(-15)*-9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q - 3*q + 2*q)*(q - 4*q + 2*q + (-1 + 4 - 1)*(-2*q - q + 5*q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2239 - -4.2239. Which is the nearest to -0.5?  (a) -2\/7  (b) i  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/9 - (-5 - (-174)\/18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i + 39*i**4 + 4*i + i - 3*i**2 - 8*i + 4*i**4 + 3 as h*i**3 + v*i + k*i**2 + q + p*i**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3, -5.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 PM and 12:04 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 PM and 6:00 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-17)\/(((-144)\/15)\/(-4)). Let u = d - -22\/3. Suppose 0 = -2*a - 0*t - 3*t - 7, a + 2*t + 4 = 0. Are u and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -332, -0.6, -4, 1 in descending order.\nAnswer: 1, -0.6, -3, -4, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47003 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 534 - 11212\/21. Let w = -0.1 + 0.2. What is the nearest to 1\/4 in w, r, -2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -8. Suppose 85 = -g*k + 3*c, -4*k + c = k + 75. What is the common denominator of 89\/8 and 174\/84 - (-4)\/k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -123, -235, -335, -417, -475, -503, -495, -445?\n\"Answer: c**3 - 119*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/(-6))\/(1\/5). Let q(g) = g**2 + 5*g + 1. Give q(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -3*a + 71. List the prime factors of j(10).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 3*t - 1. Let y be u(8). Calculate the greatest common factor of y and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 302*q**6 + 0*q**5 - 311*q**6 - 2*q**5 - 89*q**2 wrt q?\nAnswer: -1080*q**3 - 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 907516506 to the nearest integer?\nAnswer: 30125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jajajjj. What is prob of sequence aj?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 AM and 2:57 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(1\/10)\/c)\/c)\/(c*c**0)*(c**(-5\/4)\/c)\/(c**(1\/4)\/c) assuming c is positive.\nAnswer: c**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 8, i: 4, t: 2, p: 2, s: 1, d: 3}. What is prob of picking 1 t, 2 h, and 1 s?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0  (b) -2  (c) -0.3  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 163843, 327473, 491103, 654733, 818363?\nAnswer: 981993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*o + 688 = -12592. Calculate the lowest common multiple of 52 and o.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -65 - -69. Sort d, -3, -75 in descending order.\nAnswer: d, -3, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 349779496 - 0.035?\nAnswer: 349779495.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/1040 and 123\/2192120.\nAnswer: 56995120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 19 divided by 17\nAnswer: 19\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tdtdttttttd.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -2*(-5 + 2 + sqrt(5) + -5) - -2*(sqrt(720) + (sqrt(720)*1 - sqrt(720)) + -2 + sqrt(720) - (-4*(-1 + sqrt(720)) - sqrt(720))))**2.\nAnswer: 2656*sqrt(5) + 137844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -44, 1, -5, -3, 2, 16 in decreasing order.\nAnswer: 16, 2, 1, -3, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1376?  (a) -3  (b) 1\/4  (c) -0.4  (d) -1  (e) 3\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 3716 = -3*z, -4*z + 2*z = -o - 1851. Let f = o - -18497\/10. What is the common denominator of f and 118\/42 - 2\/3?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*l**4*v**2 + 3483*l**3*v**2 - 281*v**2 + 2*v - 541 wrt l.\nAnswer: 12*l**3*v**2 + 10449*l**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 515 from 0.3.\nAnswer: -514.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 211 = -227, 4*s = -5*d - 32. Sort 43, s, 4, -8 in decreasing order.\nAnswer: 43, 4, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the third derivative of 1417*u**8\/336 - 33*u**4\/4 + 48*u**2 + 5*u. Find the second derivative of s(y) wrt y.\nAnswer: 28340*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(3 + 0)*3. Let u be (h*2)\/3*-2. Let m(q) = 2*q. Let t be m(5). Solve -5*g + u*j + 10 = -j, -5*j + t = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 1479\/203)*7 - 4*2*1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h**8)*h)\/h*h)\/h**(1\/4)*(h*h*h**(2\/27))**(-31) assuming h is positive.\nAnswer: h**(-7727\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + -1*sqrt(99) - (3 + -1 + sqrt(99))) + 4*(sqrt(99) + 0) + -3)**2.\nAnswer: -108*sqrt(11) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 1682*l + 5 - 1.\nAnswer: -1682*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 146 + -144. Solve -6 = u*w + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k**3 + 3*k**3 + 3*k**3 + (6*k + 0*k + k)*(-22*k**2 + 9*k**2 + 48*k**2) + 2*k**3 - 2*k + 2*k.\nAnswer: 250*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**3 + 6*l**2 - 3*l + 5. Let u = 3 - -2. What is the tens digit of h(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*c + 2*c + 4*c)*(1 - 2*c - 1) + 3*c - 3*c + c**2 - 145821*c + 145821*c - 330*c**2.\nAnswer: -331*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1161758, -1161761, -1161764, -1161767, -1161770, -1161773?\nAnswer: -1161776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((3\/2 + -1)*0)\/(-2). Suppose 5*d - 21 - 9 = h. Solve -a - d = -3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 223, -255, -723, -1175, -1605, -2007, -2375?\nAnswer: -2703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -132*p + 132*p - 7*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 12379.725ms?\nAnswer: 0.20632875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*p - g + 3, -2*p - 4*g + 4 = 0. Let u = -293 - -295. Suppose u*a - 3*a + 587 = p. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-40 + 19 + 25 + 8*d)*(-9 + 0 + 5)*(5 + 0 - 3) as c + b*d and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 467355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (36\/15)\/(12\/40). Suppose w*h - h = -14. Calculate the remainder when 0 + 35 + (h - (-1 + 0)) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-5*(sqrt(108)\/sqrt(6) - sqrt(18))*-1)\/(sqrt(63)\/(sqrt(448) - (1*sqrt(448) + sqrt(448)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -7 + -65 + -3 + -15 + 9 + -7.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -r**2 - 13702*r**4 + 13701*r**4 - r**2 - 6*r**3 + 22*r + 0*r**2 - 2 to w*r**2 + a*r**3 + t*r + i + q*r**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 76.91, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23759 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 1. What is the second derivative of 6*q**2 - 3*q - t*q + q**2 wrt q?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 12*t + 69. Let c be f(29). Suppose -155 = -13*d + c. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1487621, 1487595, 1487565, 1487531, 1487493?\nAnswer: 1487451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/32 in 3\/2, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -103333201331 (base 4) in base 15?\nAnswer: -6d7d22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 47\/4 of a millennium in decades?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 4. Let b = -45 + 137\/3. Factor 4\/3 + b*p**2 + s*p.\nAnswer: 2*(p + 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1081 and 6533.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -20 + 4. Suppose m*p - 55 = 3*a - 8, -p = 2*a + 2. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 501522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -778*z + 775*z + r - 7, 2*z - 12 = -0*z + 4*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 22, 113, 270, 499, 806, 1197, 1678?\n\"Answer: t**3 + 27*t**2 + 3*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 3*g + 15 = 0, 3*w - 5*g + 3703 - 3686 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19 - -3)\/(-16)*-23.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 19*k + 3. Let j be n(0). Suppose -107 = -4*z + j*u, -z - 2 = 7*u - 2*u. Which is the smallest value?  (a) z  (b) -4  (c) 2  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-4))\/(((y**8\/y*y*y)\/y)\/y*y))\/(y**(-1)\/y*y**(-3)*y) assuming y is positive.\nAnswer: y**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3104124 divided by 4.\nAnswer: 776031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((4\/6)\/(32\/(-24)))\/((-43)\/(-1462))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 130*s**3 - 60*s**3 - 68*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -33*3*(-2)\/(-6). Let h be (-4)\/(-22) + (-390)\/k. Suppose -7*f - h = -3*f. Is f less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 924*g**5 - g**2 + 351*g?\nAnswer: 55440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -119265 divided by -23853\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 836 divided by -209.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7955279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 866440281?\nAnswer: 3, 7, 1459, 28279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (0 - 1 - (-10)\/(-130)*13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-151805)\/291*(-6)\/5. Suppose 0 = -w - 193 - 237. Let k = b + w. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the second derivative of k**8\/6720 - k**5\/120 - k**4\/6 + 4*k. Let b(i) be the third derivative of u(i). What is the derivative of b(p) wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (2*sqrt(30))\/sqrt(6) + -2.\nAnswer: -3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/(u\/(u*u**(2\/9)*u*u))*u**(-2)*((u\/(u\/(u*u**(-2\/21)*u)))\/u)\/(u\/(u*u**(2\/5))) assuming u is positive.\nAnswer: u**(796\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand j**2 - 1 + 1 + (0*j + j - 3*j)*(0*j + 4*j - 2*j) + 0*j**2 + j**2 + 4*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1825071 is divided by 1798?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -642*w + 644*w = 11976. Suppose -16*v - w = -21*v + 3*i, 3*v = -2*i + 3589. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -498019596 by -4.\nAnswer: 124504899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00002598328 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 26523165 (base 7) in base 15?\nAnswer: 333c7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1168130 is divided by 83361.\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 2*-1*(-22)\/(-176)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9921, 9898, 9889, 9900, 9937, 10006, 10113?\nAnswer: 10264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 588896 less than or equal to 0.35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 - 56*g**2 + 7*g - 390. Let f be s(56). Solve -q + f*c - 2 = -0*c, 8 = -q + 4*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the first derivative of -49*c**5\/25 - 77*c**4\/20 + 22*c**3\/5 + 26*c**2\/5 + 8*c\/5 - 4. Find g such that t(g) = 0.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, e: 1}. What is prob of picking 2 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -21.1 - -5.\nAnswer: -16.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -357 - -357. Solve -2*j - 9 + 5 = m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 431794 is divided by 53972.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -84 + 84.3. What is the second biggest value in 0.1, y, 1\/48?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 32 - 131\/4. Let y = 484.2 + -484. Which is the nearest to y?  (a) 1\/2  (b) m  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1200 and 3390.\nAnswer: 135600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 9 = 5*o, -i = -2*i + 5*o + 18. Solve i*m - 10 = 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 120092401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-910)\/25)\/7*(-4)\/(24\/10)?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5574.929s to milliseconds.\nAnswer: 5574929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29456*m**3 - 14725*m**3 - 14751*m**3 + m**2 - m**2.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 171.942 - 7.942. Which is the third smallest value?  (a) j  (b) 0.2  (c) -4  (d) -0.01  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j + 1036 - 4620 = 0. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 774784 and 3008?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 382\/11, 1\/4, -4 in decreasing order.\nAnswer: 382\/11, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -35.6 - -36. Which is the nearest to 0?  (a) -1  (b) h  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -6*v - 2. Let y be n(-2). Let l = -7 + y. Solve -l*q - 10 = -1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes before 8:53 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 81 by -135.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1039709638 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c + 34 - 30 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -6. Let g(r) = -r - 19. Let s = -8575 - -8571. Determine s*g(p) + 14*n(p).\nAnswer: 4*p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 299?\nAnswer: 3\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**2 - 7. Suppose d - 5*w - 18 = 0, d = 3*d - 4*w - 18. Let h be a(d). Suppose 34 = 3*l - j, -l + j + 18 = h*j. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2190 by 6.\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26 - 31. Let c(d) = d**2 - 6*d - 50. Let g be c(v). Solve -g*a - 11 - 4 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of -j**5\/3 - 5*j**3\/2 - 16*j**2. What is the derivative of k(z) wrt z?\nAnswer: -40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10\/(-3)*30\/(-20). Suppose -2*i + 12 = 5*k - 11, r*i - 17 = k. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1402134 (base 5) to base 11\nAnswer: -1a396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1095075.\nAnswer: 3, 5, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 - y - 1. Let p(c) = -4*c**2 + 5*c + 2. Suppose -2*q + 3 + 3 = -2*d, 3*q - 4 = 2*d. Let b be (-1 - q - 0)*-1. Determine b*p(k) - 3*n(k).\nAnswer: k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.8 * -19.\nAnswer: 72.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 3*u - 54, 5*n + 14 = 2*u - 22. Suppose 2*f = 4*a - f - u, -a = -5*f - 13. Suppose 0 = 2*w - 3*w + a. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/9)\/(4\/(-48)). Let n(r) = -r**2 + 4*r + 5. Determine n(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 3. Suppose 4*x - 157 + 53 = -h*s, -65 = -3*x + 5*s. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.0819 milliseconds in microseconds?\nAnswer: 39081.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/15  (b) 0  (c) -7  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 t when three letters picked without replacement from {t: 9, v: 11}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10*o**2 + 0*o**6 - 4*o**2 - 2*o**6 wrt o.\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**3 - 4*f**2 - 1. Suppose 3 + 2 = -r. Let n be p(r). Suppose 14 = 2*h - n. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30, -54, -78, -102, -126?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -673.57 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the first derivative of -q**3\/3 + 5*q**2 - 7*q - 5. Let n be t(8). What is the highest common divisor of 36 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -7. Suppose 0 = o + w*p - 2 - 1, -2*p - 6 = -2*o. What is the third derivative of 10*f**2 + 99*f**o + 2*f**2 - 119*f**3 wrt f?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -212504591*m - 68125044?\nAnswer: -212504591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69 (base 13) to base 8.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of 13*i**5\/60 + 7*i**2. Let r(q) be the third derivative of -q**4\/24 - 4*q**2. Determine l(r(c)).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -9\/4, 1\/2, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1127352853?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 5. Let b(j) = -j**3 + 5*j**2 + 6*j - 4. Let h be b(6). Suppose -267*s = 272*s - 537*s - 8. Sort -5, h, k, s in descending order.\nAnswer: s, k, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 200227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 = 4*y - 4*k, 2*y + y + 3*k = 60. What is the lowest common multiple of y and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -336926, -336928, -336930, -336932, -336934, -336936?\nAnswer: -336938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1170 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, b: 2, j: 2, i: 2, h: 1}. Give prob of sequence hdb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 0.8  (c) 85.5  (d) -4  (e) 1  (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 7748390 to the nearest one hundred thousand.\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1684080 - -1?\nAnswer: 1684081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 5617724*w**2. Let n(g) = -25*g**2. Calculate n(i(o)).\nAnswer: -788970573504400*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/11 + (-2481)\/(-33). Let q = 227\/3 - w. Which is the smallest value?  (a) -11  (b) q  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 3*t = -28, -10*x + 9*x - 39 = 4*t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 2*h = 8510, -4*h - 208 = -188. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1008*q - 656*q = 895 - 10751 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 19782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, e: 6, w: 1, n: 3}. Give prob of sequence wen.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 10*z + 252. Let x be o(-25). Factor -1\/5 + 1\/5*n**x + 0*n.\nAnswer: (n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -85 - -54. Let t = -17 - g. What is the highest common divisor of t and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 3*u**4\/5 + u**3 - 2*u**2 - 4*u - 8\/5 = 0.\nAnswer: -2, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*n - 48 + 9 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + 1606?\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -50021 + 50024. Factor -6\/7*m - 24\/7*m**3 + 9\/7*m**4 + 0 + a*m**2.\nAnswer: 3*m*(m - 1)**2*(3*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 3*x + 750 = 0, 2211 = 14*c - 11*c - 4*x. What is the highest common factor of 285 and c?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 143048 or 143026?\nAnswer: 143048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b*b**(-1\/21)))**(-1\/43) assuming b is positive.\nAnswer: b**(20\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(3 + (-1 + 5*(sqrt(1573) - (sqrt(1573) + 2))*-3)**2).\nAnswer: -2532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4208.5 minus -960.1?\nAnswer: 5168.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7798727 is divided by 2562?\nAnswer: 2561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1021 - -1021.00001589. What is p rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 9408*y - 3385. Is g(46) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = y - 16, -12 = -117*o + 121*o. Sort y, -50, 3, -1 in increasing order.\nAnswer: -50, -1, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 AM and 4:56 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -484 divided by 4.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 22\/(-36) + (-6)\/(-12). Sort -8, n, -1 in ascending order.\nAnswer: -8, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 13249.4 to the nearest one hundred.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -27*l + 21*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71869?\nAnswer: 7, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1046 - 990. Calculate the lowest common multiple of m and 432.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 2*y, -n + 4*y - 6 = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -4*x**2 + 112*x + 4. Determine d(28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -11, -0.5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = -7*w + 55. Let a = 42.05 + -42. Put 1\/6, a, w in descending order.\nAnswer: 1\/6, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27.9 - 28. Let g = 70 - 82. Let n = g - -10. Which is the third smallest value?  (a) -1\/3  (b) n  (c) m  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 26 = 2*v. Let t = -12 + v. Let i = 5 - 2. What is the second smallest value in t, i, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -132020002 - -131201?\nAnswer: -131222201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 8 * 0.22\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -113, -356, -1007, -2270, -4349, -7448, -11771?\nAnswer: -17522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**0\/t)**(-1\/19))**(-4\/23)*(((t\/t**1)\/t*t)\/(t\/(t*t\/(t\/(t\/t**(3\/7))))))\/(t**0*t*t**3*t) assuming t is positive.\nAnswer: t**(-13575\/3059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1983 + -1981. Suppose -i = -2*i + 112. Calculate the common denominator of -55\/2 and z\/(-8) + (-91)\/i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5400 and 640275?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -38 - -52. Suppose -5*g = -799 + h. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2010 = 10*g - 1720. Suppose 5443 = -30*m + g. Is -170 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 1731041.\nAnswer: 4\/1731041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2036780?\nAnswer: 2, 5, 101839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2845749 divided by 948583\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3049796931 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6371212?\nAnswer: 2, 659, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -3*l - 3. Let t be c(-3). Suppose -2*v + 2 = -t. Suppose 100 = v*u - 48. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) - (2 + sqrt(119)\/sqrt(7)) - (((3*sqrt(102))\/sqrt(6))**2 - sqrt(17)) - (0 + sqrt(17) + 2 + sqrt(34)\/sqrt(2) + 2 + 1).\nAnswer: -160 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*s*s\/(s**(-1\/20)*s))\/s*s**(-2) assuming s is positive.\nAnswer: s**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2.03 + -2250395.059127\nAnswer: -2250397.089127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 52\/103 in 2\/5, -0.1, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -744.02 + 751. Let r = 6.98 + 0.02. Let g = r - j. What is g rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5\/20633 + 1808671\/56121760. What is the common denominator of t and 5\/64?\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -775359 divided by -117.\nAnswer: 6627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 - 3)*(5*v - 4*v + 0*v) + 0*v + 5*v - 6*v + 0 - v + 0 - 5*v - 2*v + 2*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 - 3*r**2 + 4*r - 7. Let p be h(-5). Suppose 3*b - 10 = p. Let t = -24 - -44. What is the remainder when t is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, -7, 4 in descending order.\nAnswer: 5, 4, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14022?\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(3\/19)*a\/a**20 assuming a is positive.\nAnswer: a**(-358\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 46074124 - -32?\nAnswer: 46074156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-5)\/l)\/l*l**(-4\/5))\/((l\/(l\/(l*l**(-21)\/l*l))*l*l)\/(l*l\/l**(-1\/21))))**(-1\/44) assuming l is positive.\nAnswer: l**(-643\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93452822 is divided by 1321?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/795 and 103\/530?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -838*i**2 - 677*i**2 + 374*i**2 - 51*i**2 - 728*i**2 - 4*i**2 - i**2 + 6*i**2 + (-2*i**2 + 8*i**2 - 3*i**2)*(1 - 3 + 0) + i**2 + 3*i - 3*i.\nAnswer: -1924*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -7f (base 16) to base 10\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 197806180.\nAnswer: 2, 5, 11, 13, 69163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wxxxwwxwww. What is prob of sequence ww?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -3*h + 28. Let z be f(10). What is the third smallest value in 15, -0.5, z?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4384.4904 to the nearest one hundred.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 50035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 193*i + 3*o - 902 = 0, 5*i = -2*o + 852 - 869 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 21.65 + -27.6. Let s = 0.05 - j. Let n = s - 3. Which is the biggest value?  (a) -2  (b) -0.4  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q - 3*q - 24 = 0. Suppose q*z = 14*z - 40. What is the third derivative of -b**2 - 22*b**4 + 37*b**2 - 2*b**3 + 44*b**z - 21*b**4 wrt b?\nAnswer: 24*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4393 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68)*1 - sqrt(68))*-6 - (4*-1*sqrt(68) + sqrt(68)))\/(4*(sqrt(144) - (sqrt(144) + -1*sqrt(144)))*2).\nAnswer: sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 280 = 7*n - 2*n. Calculate the common denominator of (10\/(-3))\/(n\/60) and 1\/4 + (-39)\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.02 - -0.42. Let f = -2200156\/9 + 244462. Sort f, -0.12, m in decreasing order.\nAnswer: m, f, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10285*2\nAnswer: -20570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/88 + 1070\/(-5885).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1421196 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*r + 3*u = 18*r - 5264, 5*r + 5*u - 26380 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 27*n**2 + 88203*n - 19602 = 0. Calculate n.\nAnswer: -3267, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + 16 + -10 + -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -1 - 2. Let t(y) = 2*y**2 - 2*y - 2. What is the remainder when (-30)\/(-135) - p\/((-27)\/(-507)) is divided by t(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6.6 + 0.4. Let u = w - 7.0000073. Round u to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 166 is divided by 68?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1094223394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(-21) + 46\/(-896). Let v = 159\/902 - -496367\/144320. Let y = v + h. What is the common denominator of 109\/40 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 56906 and -1429.\nAnswer: 55477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 10, -4, 1\/4332?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2*t**3 + 14*t**2 + 2*t + 17. Let i be v(7). Suppose 32*j - i*j - 39 = 0. What is the highest common divisor of j and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vuu when three letters picked without replacement from {v: 4, u: 14}.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence won when three letters picked without replacement from wnzgozwe.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89*j**3 - 153*j**3 + 89*j**3.\nAnswer: 25*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/16028780 and 39\/22.\nAnswer: 176316580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of -a**4\/4 + a**3 + 2*a**2 - 1. Let l be o(4). Suppose -u + l = -2*i + 3, u - 5*i + 12 = 0. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-10 - 440\/(-66))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -120, -232, -332, -414, -472, -500, -492?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.66297g in kilograms?\nAnswer: 0.01066297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -5 - 4. Solve -g + 2 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(176))*-5 - (sqrt(176) + 3 + sqrt(176) + -4))**2*4.\nAnswer: -1344*sqrt(11) + 34640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2)*(0*x - x + 3*x) - 1 + 1 - 21*x + 0 + 0 - x + 3*x + 0 - 2 + x.\nAnswer: -14*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4044*j - 4055*j + 88 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -11957e (base 15) in base 14?\nAnswer: -17c9d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s = -11*s + 45. Suppose -c + 269 - 6 = n, s = -3*n. Round c to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((1*sqrt(114)\/sqrt(3))\/(sqrt(36)\/sqrt(2)) + 4)**2.\nAnswer: 8*sqrt(19)\/3 + 181\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -74 or -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**3 - p. Let m(y) = 7*y + 54. Let t be m(-8). Suppose 3*v = -v + 4. Let c(f) = -f**2 - 2*f**2 + 2*f**2 - f. Determine t*b(r) + v*c(r).\nAnswer: 2*r**3 - r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/(-5))\/(4\/(-50)). Let o = s - 7. Determine z, given that 0*z + 2*z - 5 + 46*z**2 + 40*z**o + 1 = 0.\nAnswer: -1, -2\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-2) + 108\/(-14). Let v = b + 11. Let i = 3 - 2. Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**3 + 0*h**3 - 3*h**3)*(5*h - 3*h - h**2 - 4*h**2) + 2*h**5 + 3*h**4 - 3*h**4.\nAnswer: 7*h**5 - 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 109 + -253. Let u be ((-2)\/6)\/(3\/w). Let j = u + -14. Solve -2*a + 5 = -t - a, -5 = -j*t - a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 1, 18, 0, -5 in ascending order.\nAnswer: -9, -5, 0, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add 6.91 and 685939.\nAnswer: 685945.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -17*z**3 - 6*z**2 + 6*z. Let x(f) = 851*f**3 + 299*f**2 - 299*f. Calculate -299*c(u) - 6*x(u).\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 117 + -124. Which is greater: x or -12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 2369, 5 in descending order.\nAnswer: 2369, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2203.1 + 2106. Is s <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14713.0001427 + 14713. Round x to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 + (-7 - -4))\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6.8 - 5.8. Are v and -129 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7322 in 1, -1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1720.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1573) + 3 + 4*(sqrt(1573) + 3))**2.\nAnswer: 660*sqrt(13) + 6517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3065 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4357 = 37*d - 4394 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11393.\nAnswer: 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 7*c - 4. Let g(l) = 0 + 21*l - 12 + 4*l - 5*l. Let s(y) = 6*g(y) - 17*v(y). Let f(w) = -w**2 - 53*w - 625. Let n be f(-18). What is s(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -7*n. Let v(c) = 29*c. What is j(v(l))?\nAnswer: -203*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes before 4:34 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.30696 - -7639.69304. What is the second biggest value in -1, w, -5, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4.2 in 4, -2\/15, -6, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5691145 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2*j**2 + 17*j + 1. Let s be a(8). Let u be s\/(-3) + ((-26)\/(-10) - -1). Let b = -0.4 + 0.2. Which is greater: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 21.95, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 e when three letters picked without replacement from {e: 4, b: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 9854796 and -4.\nAnswer: -39419184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22, 162, 398, 730, 1158, 1682, 2302?\nAnswer: 3018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 3*h**2 - 2*h - 1. Let u be d(-1). Solve 3*v + o = 7, -3*v - 2*v - 11 = -u*o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8*-1*(657\/2628 + 9\/(-2)). Let m be 2376\/10 + 4\/10. What is the highest common factor of d and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 d, and 2 l when four letters picked without replacement from ddslflifsslelflldf?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49137 is divided by 48666?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6059 is divided by 553.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -807075, -3227497, -7261527, -12909159, -20170387, -29045205?\nAnswer: -39533607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 3*r - 8. Let x be z(4). Suppose 31 = x*l + 5*o, -3*o + 22 = 4*l - 3. Solve -2*y - l = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/6 and -53\/136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 240 = -r, -r + 296 - 1231 = -20*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 8*l**2 - l - 3. Let k(m) = 1 + 8 - m + 2*m + 1. Let a be k(-8). Does 14 divide j(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seven thirds of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 155 = 77. Let i = 117 + w. Solve -2*b = 2*p, 11 - i = -5*b + 5*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q + 4*q. Suppose 0 = -2*k - 3*c - 0*c + 30, -3*k + 43 = 4*c. Let s = 18 - k. Solve -12 = f - 3*i, 2*f = 3*i - s - q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -290, -2\/13, -18?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -39\/4, 9, 0.5, 2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12122 + 0?\nAnswer: 12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 2*n + 10 = 0, -214*n = -f - 213*n + 28. Let v(c) = 2*c**2 - 2. Calculate the remainder when v(6) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/15 + 78\/130?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -0.3, -201\/8, 1\/3, 2, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8624784 or 112122202\/13?\nAnswer: 112122202\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**5 - 174*u**4 - 5270*u**3 + 23262*u**2 - 17820*u = 0. Calculate u.\nAnswer: -27, 0, 1, 3, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 9*d + 86. Calculate o(-19).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**21*n)\/n*n*n*n*n*n**(7\/3)*n*n*n assuming n is positive.\nAnswer: n**(94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 230509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 + 3)*(-26)\/4. Let n be 1\/2 - 91\/(-14). Let h = n - c. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11618*t - 11595*t + 161 = 0. Sort 5, t, 1.2 in descending order.\nAnswer: 5, 1.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2928237 (base 10) to base 13.\nAnswer: 7b6ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42118, -42121, -42136, -42169, -42226, -42313?\nAnswer: -42436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -956396 or 931?\nAnswer: 931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-64974)\/(-119))\/((-1)\/(-1 + 0)) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -214*c**2 + 5*c + 38. Let y(a) = a. Let n(h) = o(h) + 6*y(h). Let z be n(-4). What is z rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, t: 2, g: 1}. What is prob of picking 2 t and 2 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o**2. Let b(c) = -9*c**2 + 5 - c + 2*c**2 - c**3 + 8*c**2. Let x be b(0). Let i(a) = -a**2 - a**2 + x*a**2 + 7*a**2. What is i(z(j))?\nAnswer: 40*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 90f23 (base 16) to base 4\nAnswer: 2100330203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 839045, 839064, 839111, 839198, 839337, 839540, 839819?\n\"Answer: 2*j**3 + 2*j**2 - j + 839042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 4*i + 10246 = 4*k, -k + 4*i = -2572. Let d be -43*(-30 - 9\/(-3)). Let y = k - d. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -180\/7 - -886\/35. Suppose -2*g = -g - 4. Let m = g + -5. What is the nearest to m in -5, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, 138, -62 in descending order.\nAnswer: 138, 22, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 12 + 8 = 0. Suppose 11*h = 7*h + o. Suppose -j - 2*j - 2*f + 5 = 0, -f = -j - h. Is -4\/9 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 249595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 774025*t + 8. Calculate v(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-5)\/i*i**(3\/8)*i)\/((i*i**(-3\/13))\/i**(-3\/14)) assuming i is positive.\nAnswer: i**(-3355\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -86*i**6 + 5*i**4 + 30*i**3 + 897*i**2 - 4*i - 2 wrt i.\nAnswer: -10320*i**3 + 120*i + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 168 + 143.3988\nAnswer: 311.3988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3878368 and 416?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-46*f**2 + 5*f**3 + 46*f**2 + 2*f)*(-3 + 9 + 4) in the form p*f + q + u*f**2 + c*f**3 and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 9*c**4\/4 + 23439*c**3\/4 - 972603*c**2\/2 + 2753466*c - 3608640 = 0. What is c?\nAnswer: -2685, 2, 4, 224\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - -1 - -7 - (-5 - -9 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -90, 0.5, 5, 0, -5, 24?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 71118689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -2*p**3 + 280134*p**2 - 9931342176*p + 8514565061688 = 0.\nAnswer: 879, 69594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 961210058 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*i - 30*i - 26*i = -252 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1294 divided by -11.\nAnswer: 1294\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**2 + 4*c. Let l be u(2). Suppose 8*a = 10*a - l. Solve 0 = 5*y + 2*g + 8, -a = 3*y - y + 2*g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3597562187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -587 and -0.77.\nAnswer: 451.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 13318500.\nAnswer: -1\/4439500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/5*b + 0 - 1\/5*b**2.\nAnswer: -b*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(42 + 3)*-5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*r - 2*r. Suppose -5*s + 50 = g + 3*g, -s + 22 = 2*g. Calculate the smallest common multiple of g and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11625 + -11603. Calculate the greatest common divisor of 2167 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iyi when three letters picked without replacement from {y: 8, i: 9}.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Is 1532621927 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1141*z**2 + 20*z - 11 wrt z?\nAnswer: -2282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/24*(-588)\/(-9)*1*(-216)\/(-252).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the third derivative of v**5\/20 + v**4\/4 - 9*v**2. Suppose j(s) = 0. Calculate s.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -213 - 34. Let a = r + 537. Calculate the highest common divisor of a and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46, -88, -158, -256, -382, -536?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/6 + 320\/60. Suppose -16*g - 3*n = -12*g - 20, -2 = -o*g + 2*n. Put -0.3, g, 6, -4 in decreasing order.\nAnswer: 6, g, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -528cb6 - -4?\nAnswer: -528cb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1147 = 14*z + 279. Let w = z + -63. Let r(y) = -y**3 - y**2 - y. Determine r(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -636 - -644. What is the closest to 2\/7 in o, -3, -0.2, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -412 - 2?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7253911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -96443 + 96448. Let t(a) = a**2 + a + 10. Let d be t(0). Solve -d = -5*s - w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 58\/(-58)*-1*(-9)\/3*5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6286 a factor of 7977367296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6804 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the first derivative of 4*l**3 + 3*l**2\/2 - 2*l - 2. What is the tens digit of h(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 2*l - 2. Let z be h(3). Let j(g) = 2*g**2 - 7*g + 5. Let c be j(z). Suppose 4*f = c*f - 60. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 92 = -5*v, 0 = -7*v + 34*w - 9*w + 90 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/34 or 0.78?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 292\/(-14) + (-7)\/((-1225)\/(-200))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 140607*o**2 + o**3 - 140607*o**2.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 3  (c) -0.12  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o + 4. Let a be w(4). Suppose -5*h + 5*j - 20 = a, 5*h + 3*j = 2*h. Let g = 3 + h. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**3 - u**3 + 2*u**3)*(14*u + 1 - 12 + 8).\nAnswer: -28*u**4 + 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 121*l**5 + 1017*l**4 + l**2 + 486065*l?\nAnswer: 2420*l**3 + 12204*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 293*i**3 - 5 + i**2 + 17 - 294*i**3. Calculate j(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19810 is divided by 9901?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2292, -4589, -6886, -9183, -11480, -13777?\nAnswer: -16074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of 0*p**2 + 2 - 73*p + 0*p**3 + 7\/4*p**4. Let t(o) = 13*o. Calculate i(t(a)).\nAnswer: 3549*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 - 13*w + 5. Let c be n(13). Let f(q) be the first derivative of 0*q + 14\/45*q**c - 3 + 0*q**2 - 4\/27*q**3 - 5\/18*q**4. Factor f(h).\nAnswer: 2*h**2*(h - 1)*(7*h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 74 = o - 8, 2*o - 2 = 0. Let u = 6 + b. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 12:05 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -538537*v**3 - 476538 wrt v?\nAnswer: -1615611*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 113030 (base 5) to base 11\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/4*(-1 + -3). Suppose 2 = r*v - 4. Sort v, -1\/2, -1\/4.\nAnswer: -1\/2, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*g**3 + 3*g**4 - 1\/3*g**5 + 0*g + 52\/3*g**2 + 0 = 0.\nAnswer: -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i. Let t(h) be the third derivative of h**8\/20160 + h**5\/15 - 3*h**2. Let n(c) be the third derivative of t(c). Calculate w(n(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -136 - -135. Are y and -103 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -42, 4\/5, -3\/2, 1\/16, -3\/7 in increasing order.\nAnswer: -42, -3\/2, -3\/7, 1\/16, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -437 - -435. Suppose 0 = -w + 1, 2*p + 2*w - w + 9 = 0. Let n be p\/2*7\/70. What is the closest to z in n, -4\/7, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of n**3\/3 - 5*n**2\/2 + 4*n. Let q(p) = 9*p - 21. Determine 21*c(x) - 5*q(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i**2 - 2*i**2 + 4*i**2)*(371*i**2 - 242*i + 112*i + 129*i).\nAnswer: -371*i**4 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of 5*j**2 + 1\/1470*j**7 + 0*j**4 + 0*j + 0*j**5 + 0*j**6 + 0 + 0*j**3. Factor c(o).\nAnswer: o**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g\/g**(-2\/11))\/g)\/(g\/((g*g\/g**(-4\/11)*g)\/g)))**(-6\/17) assuming g is positive.\nAnswer: g**(-168\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3621733169 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-8)*a**11)**(-1\/10)\/((a\/a**(1\/4))**(2\/37)\/(a*a**(-1))**19) assuming a is positive.\nAnswer: a**(-151\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a + a + 227*a**2 - 79*a**2 - 449*a**2 - 302*a**2.\nAnswer: -603*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0140059 rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 + 4*i**2 - i. Suppose 7*s - 8 - 41 = 0. Calculate the remainder when h(-3) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 446224 (base 7) to base 11.\nAnswer: 543a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 - 63*b**2 - 5*b - 332. Give a(-63).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 - 28*r**2 - 28*r - 34. What is q(29)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 7*g + 3*u - 3393, 2033 = 3*g - u. List the prime factors of g.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 253615562 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(175)*3 + (sqrt(224)\/sqrt(8))\/sqrt(4) + ((sqrt(21)\/sqrt(3) + -5)**2 + sqrt(7))*2*4.\nAnswer: -56*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 120?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.2 - -30.8. Let h = c + -31.9935. What is h rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 806 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 160 = -2*b + 38*o, 0 = 781*b - 64*b - 718*b - 2*o + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 3 = -11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(3\/8)*u)\/(u\/(u\/(u\/u**(-21))))*(u*(u**(-8\/5)*u)\/u*u)\/u*u**(-4\/11))**(-50) assuming u is positive.\nAnswer: u**(45295\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*f + 16*f - 10*f)*(6*f - 2*f - 3*f + (-2*f - f + 5*f)*(-2 + 0 + 0)).\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 5  (b) -32.48  (c) -0.5  (d) -18\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -2*a**3\/7 + 810*a**2\/7 - 11038*a\/7 + 35190\/7 = 0.\nAnswer: 5, 9, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 1658 = 5*g, 4*g - x + 1333 = 2*x. Let s = g - -478. Suppose -t + 4*t - s = r, -2*t + 5*r + 85 = 0. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/10*5*(-10)\/4. Find the second derivative of -11*c**2 + 66*c + y*c + 4*c**2 - 4*c wrt c.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.06326 + 0.66524. What is w rounded to 2 dps?\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 4*u - 27 = 0. Suppose 6*o - 685 = 4*m - 45, 3*o - 314 = 5*m. Calculate the smallest common multiple of u and o.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.07 and 37.\nAnswer: 38.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*l - 17 - 64 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 188*u - 7*u + 6.\nAnswer: 181*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 PM and 10:23 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**4\/2 + 6*i**3 - i**2\/2 - 6*i.\nAnswer: i*(i - 1)*(i + 1)*(i + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/3  (b) 6255  (c) -5\/6  (d) 0  (e) 0.2  (f) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1346391.\nAnswer: 3, 211, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1651*r + 360 = -1621*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 775552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -17 + 10 - (-8 + 10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -94*a + 4117. Let m be s(42). What is the greatest common factor of 5915 and m?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 - 5*x - 10. Let g be f(7). Suppose g*a - 14 = 22. Suppose -78 = a*k - 11*k. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 251.22 - -1.78. Which is the third biggest value?  (a) 5  (b) 3  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 968 is divided by 27 + (-36 + 37)\/((-2)\/16).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -67 + -20 + -16 + 44?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000054596567 to seven dps.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 8*n**2 + 13. Let z be (4\/3)\/((-6)\/9). Let c(m) = 2*m**2 + 3. Let v(a) = z*d(a) + 9*c(a). What is the first derivative of v(j) wrt j?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 81 + -77. Let j(i) = i - 4. Let o be j(4). Let a(y) = y + 12. Let g be a(o). Solve -r = n, p*n = 2*r - 3*r + g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1448328 is divided by 37136?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1360, -1342, -1336, -1348, -1384, -1450, -1552, -1696?\n\"Answer: -r**3 + 25*r - 1384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 + 3*s + 2. Let m be a(3). What is the third derivative of -m*r**2 + 9*r**5 - 3*r**2 - 11*r**5 - 7*r**5 wrt r?\nAnswer: -540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/(-56))\/((-9)\/42)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -7, -10, -2\/3, 0.4, 0.047738?\nAnswer: 0.047738","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.300035791 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 82 divided by -163\nAnswer: -82\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 + 21 = 3*l + 4*b, 0 = -l + 5*b - 34 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38475 and 1615.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 4635*k**2. Let z(b) = -3*b**2. Determine l(z(o)).\nAnswer: 41715*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + 0\/1 + (-8 - 2) + (-864)\/(-36)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t**5 - 23018*t**4 - 65358734*t**3 + 5011128218*t**2 - 61057572736*t - 1364635604992 = 0. What is t?\nAnswer: -5792, -11, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3.4457 in 0.1, 0.9, -1083?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -5 - -11 - (-1652)\/(-2). Let g = -9032\/11 - q. Are g and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 + 16*b + 27. Calculate v(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-704)\/(-2112)*36\/(-15)*-1*(-10)\/(-3)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eekkeeekkeeaekekeek. Give prob of sequence akke.\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (13\/3)\/(4\/(-3)) and 11\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4669632 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 22 - 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 117 and 450?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20395038377141893\/62871765069234 - 48\/5844187123. Let g = h - -71070\/163. Let z = 1314\/11 - g. What is the common denominator of z and 9\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39135 and 1135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -24482*z**4 + 28*z**2 + 123*z - 200956279 with respect to z.\nAnswer: -97928*z**3 + 56*z + 123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*q - 2 - 59*q - 8 - 38*q + 20*q.\nAnswer: -71*q - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -958 - -252. Let t = 5657\/8 + h. Calculate the common denominator of t and 39\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/7  (b) -1  (c) 1\/12672\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of 10 + q**2 - q + 1\/2*q**4 - 4\/3*q**3. What is the tens digit of o(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 276*i + 24300. What is o(-88)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4743 - 10430. Put p, 2\/3, 0, 3\/5 in ascending order.\nAnswer: p, 0, 3\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 792 by -51530.\nAnswer: -396\/25765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/44 - 108\/(-715))*(-13890)\/(-1389).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 10) in base 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119*i + 119*i + 10*i**3 + 5*i**3.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 6*m - 9*m. Let f(r) = r - 2. Let t be f(5). Solve m + 6 = -t*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 22*v**2 - 47606*v - 3946046 wrt v.\nAnswer: 44*v - 47606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1597.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(-8)\/(-60)*1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1923 + 1924.027. Let i = -3.187 - -3.2. Let z = i + c. What is z rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 308 divided by 7\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -321708434, -321708437, -321708442, -321708449?\n\"Answer: -z**2 - 321708433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 0.5630284.\nAnswer: 2.2521136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 51\/5 of a microgram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 29*h + 12 + 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*l + 55*l = 114*l + 12, -4*i + 4*l + 11 - 3 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1844137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 113655 divided by 15?\nAnswer: 7577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 - 6 = -y + 2*x, -2*x - 6 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -5613 (base 8) to base 3\nAnswer: -11001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.172 + 2.768. Let h = o - -0.06. Let g = -0.1 + 0.1. What is the closest to g in 0, h, -6\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 9 - (22 - (14 - -8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*n**4\/8 - 63*n**3\/4 + 36*n**2 - 12*n = 0.\nAnswer: 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = -4*u + 5*x, -u - 3504*x = -3508*x - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -338 - -343. Calculate the greatest common divisor of k and 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11690 rounded to the nearest 100?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mnnn when four letters picked without replacement from nmmmmmmmmnmmmmmmnm?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 8:39 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o**3 + 20*o**2 - 3*o + 2. Calculate z(9).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -3.61 + 0.0682319\nAnswer: -3.5417681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 16776010 rounded to the nearest 10000?\nAnswer: 16780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - 3203343?\nAnswer: -3203343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4044.1 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/5814 and -31\/10336?\nAnswer: 93024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (3 - 1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the third derivative of -3*g**4\/8 - 8*g**3\/3 + 18*g**2. List the prime factors of t(-14).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + m + 1)*(2*m + m + 0*m + 2 + (-m - 14*m - 11*m)*(1 - 4 + 1)) in the form u*m**2 + r*m + t and give u.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1404846 a multiple of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 5440 = -8077. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*j + 14*j - 52*j + 20*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 0 = -6, 0 = 2*j + 2*z + 46. Let p = j - -34. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 4*x - 3*x - 3*x. Let r(k) = -k**3 - 2*k**2. Let m be r(-2). Let a(l) = m*l**2 + l**2 + 0*l**2 - 3*l**2. Calculate a(y(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -7 + 3 + (-1 - -3). Which is the nearest to f?  (a) -1\/4  (b) -5  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(114)*2 + sqrt(114))\/(2*sqrt(54)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76117.5 centimeters to micrometers.\nAnswer: 761175000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80 is divided by 71?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(5)*-2*-6.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12428030?\nAnswer: 2, 5, 1242803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/1 + -5 + 7. Suppose 27 = 7*t - n. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 32028 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of k**2 + 133*k + 2482. Let s(j) = -2*j. Determine b(s(g)).\nAnswer: -4*g + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -13.9559 and 2299.5332?\nAnswer: 2313.4891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -cbc8 (base 16) in base 14?\nAnswer: -15024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1001111001100 (base 2) in base 3?\nAnswer: 20221201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (33\/(-110))\/((-2)\/4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -36 - (38 - 52) - (-4 + 27).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 134*v + 11. Let l(g) = -118*g - 11. What is -2*l(y) - 3*z(y)?\nAnswer: -166*y - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22642783.\nAnswer: 41, 552263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -43.076 - -0.076. Let k = 43.030873264 - 0.030877164. Let c = k + y. What is c rounded to six 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 290040266?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34 + -4. What is the highest common factor of t and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(-4\/7)*j)\/j**3)\/((j*j\/j**7)\/(j*j\/j**(-2\/7)*j)))\/(j**(1\/12)\/(j*j**(-2)*j)*((j\/(j**(-4)\/j))\/j)\/j*j*j**(-5\/2)) assuming j is positive.\nAnswer: j**(263\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1354447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from {h: 1, l: 2, y: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -206 + -10295a?\nAnswer: -102b63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 95 + -1024a?\nAnswer: -10165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5082.9 + -5082. What is the nearest to 1 in -0.2, 3, -2\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 431535 and 3705?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 746*s - 178788. Determine q(240).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -57331\/303 + 71207795\/373296. Let f = -5\/176 - i. Let w = 4 + -40. What is the common denominator of f and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**3 + 836*t**2 - 56000*t + 1216768.\nAnswer: -4*(t - 97)*(t - 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.6211 + 54.6211. Which is greater: -35 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 + 5*f**2 + 5. Let h be x(5). Let m = -5 + h. Solve 9*o - 4*o - 25 = m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z + 2*z + 147 = 0. Calculate the remainder when z is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c and 1 w when four letters picked without replacement from wccwwmwcmwwwmmc.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 - 4*l**2 + 3*l + 4. Suppose 8*q = q + 21. What is s(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes before 7:09 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + x**3 - 3)*(-6 - 3 + 4)*(11 + 4*x + 4*x - 7).\nAnswer: -40*x**4 - 20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from {x: 9, i: 3}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**3 - 11*s**2 - 20*s - 8. Determine b(-8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 41922 and 14994?\nAnswer: 2054178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of -r**7\/1050 + r**5\/300 - 13*r**2 + r. Factor d(h).\nAnswer: -h**2*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/4, -0.1, -253.777?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 19262 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(4) - sqrt(16)\/sqrt(4))*-4*-4)\/(5*sqrt(90)\/sqrt(5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/72358 and -61\/13156.\nAnswer: 144716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(15)\/sqrt(5))**2 + (sqrt(3) + 1)*2 - (-3 + sqrt(3) + sqrt(33)\/(-2*sqrt(11))).\nAnswer: 3*sqrt(3)\/2 + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4345960168.\nAnswer: 2, 11, 229, 215659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 280 + 760 = -4*z - 2*p, -z = -p + 254. Let b = -252 - z. Solve 0 = -b*a + a - u - 21, 3*a - 3*u = -9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -451 - -5858\/13. Let r = -1\/65 + t. What is the closest to 3 in -1, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 3*x + 17. Let d(v) be the second derivative of 1\/2*v**2 + 1\/6*v**4 - 2*v + 0 + 0*v**x. Give d(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -68*m - 167. What is the lowest common multiple of 2 and f(-4)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 336 less than -6215510121?\nAnswer: -6215510457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 606928561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 2 - 8. What is the biggest value in 211, w, 0.1?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12446130 (base 7) to base 2.\nAnswer: 100010101110010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 121*g**2 - 5599*g + 259081\/4.\nAnswer: (22*g - 509)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 135*v - 141*v - 29*v + 33*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 31, -2, -76\/1743 in decreasing order.\nAnswer: 31, -76\/1743, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 0.5, 2, -146498, 1\/137, 4?\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 91, 293, 599, 997, 1475, 2021?\nAnswer: 2623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - (-2*2)\/(-1). Let w = -4 + 4.3. Let t = 0.2 - w. What is the third smallest value in -0.4, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -135942?\nAnswer: 135938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 19523 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b\/b**(-2\/7))*b*b*b**(3\/5)\/b*(b**(-2\/5))**(-18\/13))\/(b**(-7\/3)*b*b**(2\/15))**35 assuming b is positive.\nAnswer: b**(3901\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 100\/3 + -33. Let h = -14 + 20. What is the second biggest value in g, h, 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -5*n - 1. Let o be b(-6). Let p = 68 - 48. Let h = o - p. Calculate the highest common factor of 54 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the third derivative of 4283*m**5\/60 + 64*m**2 + 15*m - 1. Let w(h) = -2*h**2. Give w(z(c)).\nAnswer: -36688178*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 26591585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 68 - 40. Let g = s - 15. Let m(f) = -107*f - 55. Let k be m(-1). Calculate the highest common divisor of k and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6270819 kilograms to nanograms.\nAnswer: 627081900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 + -1)\/1 + (-33)\/(-21). Let w be (-1)\/1 - (-1599)\/(-7). Let f = -230 - w. What is the second biggest value in f, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f - 6. Determine j(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 6*i + 4*x, 4*x - 5 + 1 = -4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 83227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 11, -2.9, 3, 2, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -940*i**2 + 3*i**3 - 7*i**3 + 940*i**2.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -367 + 258. Which is smaller: -108 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -13*t + 9*t + 1327, -2*i = t - 325. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3090\/79 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -14 and 158185.1.\nAnswer: -2214591.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*c + c + 54. Let h(o) = -o**3 + 4*o**2 + 2*o. Let s be h(4). Suppose c*v = s*v. Are -4\/5 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 127233*y + 7159.\nAnswer: 127233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -8*g. Let d(i) = 1853*i. Determine w(d(t)).\nAnswer: -14824*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 - w**2 - w + 1. Let z = 9498 - 9500. Let f(t) = -13*t**3 + 11*t**2 + 11*t - 9. Determine z*f(d) - 22*k(d).\nAnswer: 4*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1\/3)\/1)\/((-6)\/(-18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 13 + -1 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -26 + 54*t - 25*t - 25*t + (2 - 2 - 1)*(t + 0*t - 2*t) + t + t + 0*t - t + t - t + 10*t - 4*t - 7*t in the form u*t + y and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 - 8*h + 24*h**3 + 10 + 2*h**2 - 27*h**3 to z + u*h + v*h**3 + i*h**2 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -28*m**4 + 1072864*m**3 - 10277424048*m**2 + 5872463424*m = 0.\nAnswer: 0, 4\/7, 19158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 14 + 6. Suppose -65 + 14 = -4*w + 3*b, 4*b = -a*w + 25. Calculate the highest common divisor of 45 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21 + 41. What is the highest common divisor of 12 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/i**(-6\/19))\/(i**26\/i))**(16\/7))**20 assuming i is positive.\nAnswer: i**(-144000\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1125 a factor of 1045037940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 + 7*j - 10. Suppose 4*w - 290 = -318. Calculate f(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/(-48))\/((-85)\/(-164)). Let f = 2\/51 + m. Which is the smallest value?  (a) -2  (b) -1\/10  (c) 5  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 435.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 2*f - 28 = 0, -252*f + 248*f = 3*g + 32 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sqssnduqqqnqqq. Give prob of sequence qqq.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1597050?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**12\/t*t*t)**18*t**(1\/37)*(t\/t**(-9\/2))\/t*t)**(20\/9) assuming t is positive.\nAnswer: t**(177250\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 - j. Let f be z(3). Let u be 3\/((-1)\/(-4)*f). Suppose 4*o - 50 = -u*h, -5*o + 179 - 54 = 5*h. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 4*q. Let i be a(0). Suppose i = -3*d - u - 6, 5*d - d - 5*u - 11 = 0. Sort 5, -57, d in increasing order.\nAnswer: -57, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24351 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: Expand (3 - 3 - 2)*(0*k**2 + k**2 + 0*k**2 - 2*k + 2*k + k**2 + 0*k**2 + 0*k**2 - 2*k**2 + (-4 + 4 + 2*k)*(4*k + 0*k - 2*k) - 10*k**2 - 10*k**2 + 7*k**2).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -553*m + 65*m = 958*m + 62178 for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.6 + 2026866.8.\nAnswer: 2026867.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from awaaaaaaawaaawa. Give prob of picking 1 w and 3 a.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, t: 2, g: 2, r: 4, b: 5}. What is prob of sequence tgt?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {r: 1, v: 1, g: 2, c: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**3 + 16*t**2 - 16*t.\nAnswer: -4*t*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1394 and 26089407?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 17*j - 584. Let h be c(34). Let w(m) = -2 - 98*m**2 - 11*m - 2 - 4. Let v be w(h). Round v to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1155260819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10904 - 10904 + 780*f**2 - 735*f**2.\nAnswer: 45*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = -4*j + 28, -38*l + 344 = 201*j - 205*j + 22*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/3*360\/48)\/(110\/(-275))?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of c**4 + 3642*c**3 + 171557*c**2 wrt c.\nAnswer: 24*c + 21852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -24\/859?  (a) -4  (b) 0.05  (c) 0  (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + cae7?\nAnswer: caec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*b**(-1)))\/b**(-2\/11))**(-16\/3)\/((b**(-3)*b\/b**(3\/7))\/(b\/(b**3*b)*b**(-4)\/b)) assuming b is positive.\nAnswer: b**(-2743\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + -2b?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -282678460 rounded to the nearest 100000?\nAnswer: -282700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 157, -1184, -5737, -15110, -30911, -54748, -88229, -132962?\nAnswer: -190555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 2*p - 5, t + p + 193 = 0. Let x = t + 276. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = 11 - 27 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2\/3)*c*c*c)**1*c**(-1\/8)*c*c*c\/((c*c**(-3))\/c*c*c)*c)\/(((c**1*c)\/c)**28*c**(-1\/12)\/(c**(-1)*c)) assuming c is positive.\nAnswer: c**(-497\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 831 + -830.98882. What is u rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + 63?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4522*m**3 + 9425*m**2.\nAnswer: 27132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-27)\/(-15))\/9)\/((-28)\/(-60)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 896.1885 to zero decimal places.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 34\/11 + (-41)\/451\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 1 - 3)*(2 + 1 - 4) + 223 + 91 - 454)*(3*o**3 + 0*o + 0*o).\nAnswer: -417*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 72 and 12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 121213 and 517.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 != 139\/1888177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6\/2)\/((-30)\/(-31900)). Find the second derivative of -211 - u + q*u**2 + 0*u - 3014*u**2 wrt u.\nAnswer: 352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1424 - -14441?\nAnswer: 13012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -372, -825, -1252, -1641, -1980, -2257, -2460?\n\"Answer: 2*i**3 + i**2 - 470*i + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 - -5. Let h be 6*2*(-5)\/160. Which is the biggest value?  (a) h  (b) u  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = 4*c + n, -44*n = 5*c - 39*n - 70 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 7:46 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/8 + (-41)\/(-20). Let j = n - -19\/20. What is the common denominator of j and (-26)\/154 + (-12)\/42?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.18?  (a) -158  (b) -4  (c) -5  (d) -1\/3  (e) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 3*k = 5, 0 = -2*k + 2. Let i(z) = 2*z + 2. Let g = -870 - -872. Suppose -5*s = -6*s + g, 5*o = 4*s - 13. Let t(r) = -1. What is b*t(y) + o*i(y)?\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 380564335.\nAnswer: 5, 76112867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (638\/12)\/11\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 9, z: 1, g: 2, d: 1}. What is prob of sequence gd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 94558489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10102002 - -1?\nAnswer: 10102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8510 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 15, -2.2, 5\/19.\nAnswer: -2.2, -2, 5\/19, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -t - 8, -3*t - d = -8*t + 17. Solve -o = g - t, -2*o - 6 = -4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1789 - 1788.998134. Round c to 5 dps.\nAnswer: 0.00187","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 4*j = 344346 - 18652, 4*g = -4*j + 651424. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -799, -574, 1597, 6686, 15665?\nAnswer: 29506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -8 + (21 - 5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 4*z = 18784, -z - 22684 - 766 = -5*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(42)\/(sqrt(3)*-1))\/sqrt(2).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68114?\nAnswer: 2, 34057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.673 + 0.087. What is w rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32222418.99 rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.052 - 0.048. Let h = -0.22 - 0.18. What is the nearest to i in h, -2\/15, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 5 + ((2*sqrt(275))\/sqrt(5) + sqrt(55) - 1*sqrt(3520))\/(sqrt(44) - (-1*sqrt(352)\/sqrt(8) - sqrt(44))).\nAnswer: -5*sqrt(5)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1009, -2282, -3555, -4828, -6101?\n\"Answer: -1273*o + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 85 and 33085?\nAnswer: 562445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**0*n*n*n**(-1\/9))\/(n**11*(n**(-10\/7)*n)\/n) assuming n is positive.\nAnswer: n**(-484\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25154890?\nAnswer: 2, 5, 29, 127, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 13525*a. Let j(d) = -2*d**2. What is l(j(h))?\nAnswer: -27050*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4ca07b + -4?\nAnswer: -4ca082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00005817 rounded to 6 dps?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -6*(-8)\/144 - (-5)\/3. Suppose 3*j + 5*l - 769 = 7*l, 1271 = 5*j + g*l. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c**2 - 3. Let p(d) = 3*d**2 + d - 6. Let w(o) = 5*m(o) - 3*p(o). Suppose -24 = -4*s + 3*k, 0*s = -2*s + 2*k + 12. List the prime factors of w(s).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31 - 16 - 15 - h**3 + 2*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 665 or 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + 1. Suppose -8 = p*b - 2*s, -b + 8 = -0*b + 2*s. Suppose -2*n = -2*t + 28, b*n + 66 = 4*t - 2*n. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 214 (base 14) to base 11\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 0*w - 6 = -3*w, 4*w + 12 = z. Let a(q) = -z + q**2 + 2 + 1 - 2*q + 4*q. Calculate a(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*c - 895 + 4795 = 0. Calculate the highest common divisor of c and 780.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(18)\/(sqrt(3)*2 - sqrt(3)))\/(sqrt(75) + 6*1*sqrt(75)).\nAnswer: 6*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 0 + 4)*(468 + 373 - 432)*(-11*x**2 + 2*x**2 - 3*x**2).\nAnswer: 9816*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**3 - 8*m**2 + 13*m - 2. Let n be y(6). Suppose 0 = -j - v - 124005, n*j - 126695 = 3*v - 622680. Round j to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.78 - 0.5. Let y = 210.28 - j. Let u = -208.22 + y. Round u to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 13. Let u = k + 20. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 75*h**2 + 220*h - 15 = 0. Calculate h.\nAnswer: -3, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -70, -100, -80, 14, 206, 520, 980?\n\"Answer: 4*v**3 + v**2 - 61*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -77300000 to the nearest 1000000.\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**2 + 7*m - 1. Determine l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yo when two letters picked without replacement from oroyoooqrb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -6750 to the nearest 100.\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -15, -14, -15, -18?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -3*w**3 - 11*w**2 + 39*w - 46. What is x(5)?\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -102.2 - -103. What is the closest to -3\/5 in 4, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 126*o + 45*o - 397 + 2449 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -11*-0.0364\nAnswer: 0.4004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 AM and 5:11 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the third derivative of y**6\/120 + y**5\/6 + 2*y**4\/3 - y**3\/2 + 1174*y**2. Calculate m(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ibsbbinbs. Give prob of picking 1 n, 2 s, and 1 b.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 5018805 to the power of 1\/2, to the nearest integer?\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*f**3 - 412*f**2 + 141*f + 826862 with respect to f.\nAnswer: 9*f**2 - 824*f + 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 + 13. Let r(f) = 3*f**2 - 14*f - 3. Suppose 0*s - 25 = -5*s. Let w be r(s). Solve n - 5 = w*m, -j*n - 3*m - 3 = m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -433 - -205. Suppose -3*u = -3*l - 5*u - 1410, -l + 2*u = 462. Let r = l - n. What is r rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/174656 and -61\/256.\nAnswer: 698624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14250 - -14237. Let i(p) = -26*p**2 - 3*p**3 + 2*p**3 - p**3 - 6. Calculate i(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - -2 - (-151 - -135) - -22.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 4*t - 2*t. Sort t, 3, -4 in increasing order.\nAnswer: -4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -2*n**2 - 8*n + 719. Does 56 divide m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3568 - 3568. Solve a + 3*c = 6 - 10, d = 4*c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 43\/(-172) + (-14)\/(-24). Let t = 0 + 1. Which is the second smallest value?  (a) y  (b) -10  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43528?\nAnswer: 2, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -432 = -4*h - 0. Suppose 0 = u - 5*u + h. Let a = u - 1. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -21*j**2 - 20*j. Let w(i) = 7*i**2 + 7*i. Determine 6*c(k) + 17*w(k).\nAnswer: -7*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 6 and 721372304186?\nAnswer: 721372304180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -5) + 4 - (2 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/15*5*-5. Let g be (-3 - w)\/(8\/268). Let q(o) = -g*o + 69*o - 4 + 4. Let x(u) = -7*u**2. Determine x(q(v)).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**2*b)**20\/((b\/(b**1\/b))\/(b\/(b*b**(1\/7)\/b*b))))**(-36))**(-3) assuming b is positive.\nAnswer: b**(59616\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*k - 42539*k**3 + 42544*k**3 + 26*k + (2*k**2 + 2*k - 2*k)*(5*k + k - 3*k) in the form t*k + p + f*k**2 + y*k**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*t = -69761 - 30069. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -84, -337, -760, -1353, -2116, -3049?\n\"Answer: -85*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -740, -1504, -2274, -3050, -3832?\n\"Answer: -3*n**2 - 755*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 850371, 6803334, 22961375, 54427032, 106302843, 183691346, 291695079?\nAnswer: 435416580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.691 - 0.309. Let v be ((-3)\/9*3)\/3. Put b, 0, v in descending order.\nAnswer: 0, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 347*z + 525 = -395*z + 181*z, -4*q = -5*z + 48 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 PM and 2:33 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 645155 and 2451589.\nAnswer: 12257945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaaaaaw.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00485758 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c = 2*b + 47, 12000272*b - 5*c = 12000271*b + 14 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(3\/8))**(-20\/9) assuming d is positive.\nAnswer: d**(-55\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*r - 6 - 16 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/3, 0.2, 0, -33\/38, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that q**5\/5 - 299*q**4\/5 - 669*q**3\/5 + 20291*q**2\/5 - 37384*q\/5 + 3612 = 0.\nAnswer: -10, 1, 6, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 252 + -145. Let h = -105 + x. Put h, -3, 3 in descending order.\nAnswer: 3, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/4)\/(12*(-3)\/96)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3 + 0)\/((-9)\/15). Solve -2*j + 7*j = b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 520 and 208280?\nAnswer: 2707640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124837 = -15*k + 258848. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g + 12. Let p = 10 + -18. Let k be y(p). Suppose -2*a - o = -7*a + 12, -3*o = 6. Solve -x - k*m = 0, -2*x = a*m + 3*m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -14, -19, -22, -23?\n\"Answer: q**2 - 8*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/6*14\/(-12)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - 4. Suppose -2*p = -t*p - 70. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5\/27 - 71\/54. Let t = -289.943 + -0.057. Let l = 295 + t. What is the closest to -1 in l, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 231.3169 days to nanoseconds.\nAnswer: 19985780160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 23055 and 2915?\nAnswer: 253605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -72 - -75 - (20 + 2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 7 = -3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4816923671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - -4)\/(11\/((-33)\/(-18))). Sort -3, -13, j in decreasing order.\nAnswer: j, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*173\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - k = 7 - 2, -4*k - 20 = -4*y. Suppose -z = -0*z - 4*b + 19, y = 3*z + b - 8. Is (-1 - (-4 - 175)) + z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 7\/53, -8\/5 in decreasing order.\nAnswer: 3, 7\/53, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/232782 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5248 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2\/15)*c**6)\/(c**8\/(c**(2\/3)*c*c)) assuming c is positive.\nAnswer: c**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -2*c**5 + 650*c**4 + 8880*c**3 - 31160*c**2 + 21632*c = 0.\nAnswer: -16, 0, 1, 2, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the third derivative of -u**4\/24 + u**3\/6 + 2*u**2. Let k be n(0). Let p = k + 3. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16436 + -11403. Let k = f + -3084. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9188891 and 31027.\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 - 5 - 6 + 156*q + 1 - 3 to f*q + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 0.21  (c) -2  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-64)\/(-48))\/((-60)\/29205*-11)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 - (12 + -14)\/(1 + 0). Find the second derivative of 13*p**5 + p**2 - 2 - 2*p + j + 0 - 9*p wrt p.\nAnswer: 260*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-s + 3*s + 0*s)*(-1 + 2 - 3) - 5*s + 2*s + 2*s)*(-2 - 2 + 5 + (0 + 0 + 1)*(0 - 4 + 7)).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4388)\/(-14) + -1 + -1. Let s = -312 + f. Find the common denominator of s and (-2)\/(40\/(-86)) + (-10 - (11 - 28)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1598 - -1601. Which is the nearest to w?  (a) -0.019  (b) 3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -196, 4, -359, -68 in ascending order.\nAnswer: -359, -196, -68, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 8416.\nAnswer: -1\/8416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*u - 3*u + 2*u + (-8*u + 4*u - 9*u)*(-4 + 2 - 1))*(3 + 1 - 5)*(-4 + u + 4) to x*u + a*u**2 + k and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/2  (b) 8.4  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3941.0001969 + -3941. Round a to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -455981 or 60\/13?\nAnswer: -455981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 1 - 4 + u)*(3 - 2 + 0)*(-9 + 9 + 1)*(-3*u + u - 5*u).\nAnswer: -7*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2 - 49*p - 387. Let f be q(-7). Solve -4*u + 8 = 5*h, -2*u + f*h + 0*h = 26 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 0, -25 in ascending order.\nAnswer: -25, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**2)**43\/(i**(-3)\/i**(2\/15)) assuming i is positive.\nAnswer: i**(-598\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + (5 + sqrt(68)\/sqrt(4))**2 + sqrt(17)*2*3 + sqrt(17).\nAnswer: 42 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, 10, 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5876004?\nAnswer: 2, 3, 53, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -120 - -93. Let o = -26.9 - k. Which is the smallest value?  (a) o  (b) -5  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 252, 4, -1\/2 in decreasing order.\nAnswer: 252, 4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 3*v - 36 = -5, 5*i = 3*v + 19. Suppose 2*g - 16 = 6*g, 4*o + 5*g = 92. Solve -4*y + 5*w + 13 = -12, 0 = i*y - 3*w - o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 12.2 and 11.55.\nAnswer: 140.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnnnbnn. What is prob of sequence nn?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6501572?\nAnswer: 2, 7, 11, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -29, -56, -111, -206, -353, -564, -851?\n\"Answer: -2*u**3 - 2*u**2 - 7*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -240*b**6*u + 116*b**5*u + 56367*b**2*u wrt b.\nAnswer: -28800*b**3*u + 6960*b**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3 + -2 - 0) + -2. Does o = -2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -2*r - 6*x + 10, -r - 3*x = -5. Suppose 4 = 7*o - r*o. Suppose -3*s + 27 = o*t - t, -5*s = 3*t - 61. Solve 0*w + 4*w = -t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(28\/(-5831)) + 7. What is the common denominator of 87\/2 and (-2)\/7 + 6204\/o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1011100 + 21?\nAnswer: -1011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - j + 22 = -0*o, 2*j = 5*o - 37. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 1 = l, -4*g = 2*l + 3 - 13. Suppose 3*a - g = -t + 13, -3*a + t = -4. What is the third biggest value in 2\/3, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - -3. Let i be a*(-3 + (3 - 0)). Let u = -10 - -14. Sort u, i, -5 in descending order.\nAnswer: u, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2240 (base 5) in base 13?\nAnswer: 1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4386 - 4362.987. Let i = r + -23. What is i rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 121576570*o**2 + 2*o + 34584456?\nAnswer: 243153140*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1405453 to the power of 1\/2, to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -55785, -111580, -167373, -223164, -278953?\nAnswer: -334740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 117 - 106.9. Let c = 10 - t. What is the closest to c in -2, 2\/19, -3\/5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 + 133312?\nAnswer: 133312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1884\/(-16485)*(-7)\/2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 2566461?\nAnswer: -2566455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140 = -128*a + 104*a + 268 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/2168559925?\nAnswer: -2\/2168559925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -68497 or -68488?\nAnswer: -68497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-11) - (-1424)\/(-88). Let i = r + 47\/3. Which is greater: i or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10656, 10645, 10628, 10605?\nAnswer: 10576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17309 + 17312. Factor 4\/11*a**m + 0 + 2\/11*a**4 + 2\/11*a**2 + 0*a.\nAnswer: 2*a**2*(a + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -18790, 0.03, 32, 0, -4, 3, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-four thirds of a day in hours?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.4 - 0.39. Let u = 0.31 - z. Let c = u + -0.8. Put c, -2, 0.2 in increasing order.\nAnswer: -2, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34 (base 8) to base 16.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 70*p - 764. Let k be x(11). Solve -2 = 4*i - k, 0 = -3*n - 2*i + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -6*i - 264. Let j be o(-44). Solve -4*v + 16 = j, -x + 8 = x + 3*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/3)\/(-8)*0\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -1 - 4 - 8*t - 5*t**2 + 2*t - t**3 + 0*t**2. Let r be k(-4). Solve l + 2*v - 2 = r, l = 4*v - 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -58*l + 29 + 379 + 288. Let g(o) be the first derivative of 0*o - 1\/2*o**2 + l. Let q(w) = -13*w. What is q(g(k))?\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.135 - -0.675. Let k = h + -0.81. What is the smallest value in -2\/3, k, 2\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18502483 divided by -10?\nAnswer: 18502483\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*y**5 - 33*y**4 + 99*y**3 - 111*y**2 + 42*y = 0. Calculate y.\nAnswer: 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(68) - ((sqrt(68) + sqrt(68)*2)*-4 - sqrt(68)))*1)\/(sqrt(484) - -2*-2*sqrt(484)))**2.\nAnswer: 3332\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -151*h + 20 - 38 = -320. Solve -3*d + h*d - 15 = 3*m, -d = m + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.0632 + -111.9368. Let r = f - -119.16. Round r to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 - 17*i**2 - 13*i - 67. What are the prime factors of h(20)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 6746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c. Let v(y) = -6*y**2 - 13*y**2 + 2*y**2 + 3*y**2. Give v(b(j)).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3778*p**2 - 3776*p**2 + 7525*p**2.\nAnswer: -29*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dplp. What is prob of sequence lp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lmmlll. Give prob of picking 2 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 121561.\nAnswer: -2\/121561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-21 + 20 - (-9 - 0))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.2 + 0.3. Let t(r) be the first derivative of -r**4\/4 - r**3 - 4*r**2 - 37*r - 224. Let z be t(-3). Which is the nearest to 0?  (a) z  (b) k  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -9.1  (b) 1  (c) -2\/15  (d) -2\/19  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7221.2581 - -7222. Round c to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 6*m - 16*m. Is 2 - m - (-2 + (-1393 - 2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4.9 less than or equal to -3.46946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 5:55 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1046 + -263. Suppose -5*m = -2*j - 1490, -j = -2*m + q - 188. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1196860337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3 + 56\/(-3) - -1 and 59\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (-4 + sqrt(12) + -2 - (2 + sqrt(24)\/sqrt(2))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 5*a = 245, -245 = 5*t + 2*a - 6*a. Let g = t - -72. Find the second derivative of -12*u - g - 4*u**2 + 23 - 3*u**2 wrt u.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5886)\/84 + ((-25)\/(2800\/(-24)))\/3?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-20)*(26 + 9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 + 0 + 0 + 2 + 0 - 2 + 3 - 2 + (1 - 3 + 3)*(1 + 1 + 0) + (1 - 1 - 3)*(-1 + 0 + 0))*(-142*b - 94*b - 101*b)*(-3 + 3 + 1).\nAnswer: -2696*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 - -55?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b - 3*y + 2893, -36*b + 33*b = y - 1731. Calculate the highest common factor of b and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-81)\/(-215) + 1746\/75078.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -44*s - 130. Let r(b) = 1. Let o(h) = r(h) - x(h). Let m be o(-3). Is m > 2\/437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 5 = 3. Sort 5, 4, o in increasing order.\nAnswer: o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k**3 + k + k + 0*k - 15 + 2 to f*k**3 + a + c*k + w*k**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 AM and 4:32 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + -101111100100?\nAnswer: -101111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 10:36 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*g + 4*r - 22, 0 = -r + 4. Let a = 1938 - 1936. Let p(m) = 3*m**2 + 3*m**2 + 2*m**2 + g*m**a. Let w(v) = 2*v. What is p(w(i))?\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 4*c + 3*t, 0 = 5*c - 4*t - 0*t + 27 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + 92*x = 94*x - 27, 2*x + 8 = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4072948?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2181 - 3846 = -111*r. What is the closest to -0.1 in r, 5, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, 1392 in ascending order.\nAnswer: 2, 4, 1392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 22396037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-4\/5))**(4\/37)\/(l\/l**(-3\/4)*(l*l**27)\/l) assuming l is positive.\nAnswer: l**(-21339\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -130211201 (base 4) in base 13?\nAnswer: -413ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 768318 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -454, -20, 1, 30, -2 in increasing order.\nAnswer: -454, -20, -2, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 280  (b) 53\/21  (c) -2  (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -103322177\/2085 + 49555. Let z = o - -123023\/8340. Calculate the common denominator of z and (-3)\/9*9 - (-73)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 398443 to the power of 1\/2, to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -13205.4438 - -60\nAnswer: -13145.4438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, v: 1, o: 1, b: 1, h: 1, a: 1}. Give prob of picking 1 b and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 11*(-10)\/(-165)*(-41)\/(-492)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 375458387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-12)\/10)\/1*(14 + -4). Let k be (-2)\/10*1 + (-12 - v). Let o = -7 + 4. Sort k, 1\/2, o in decreasing order.\nAnswer: 1\/2, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 35 + 7)*(4 - 4 - 3*d).\nAnswer: -132*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 314 divide 16713592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, -816, -29966, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13102*j**2 + 10*j + 13102*j**2 + 133 - 3*j**4 with respect to j.\nAnswer: -12*j**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -195183 or -195346?\nAnswer: -195346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(-14) + 1\/(-2). Let y be (10\/8)\/(2\/(-8)). Let f = 0.32 + 0.08. Which is the second biggest value?  (a) y  (b) o  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1778, 5783, 12582, 22277, 34970, 50763, 69758?\nAnswer: 92057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, a: 2, b: 1, m: 1}. Give prob of sequence att.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 110 + -19. Let c = l + -31. Suppose 11*t = 9*t + 24. Calculate the highest common divisor of t and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 83100695*l**4 - 784*l - 253?\nAnswer: 997208340*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 - -29. Let t be (-207)\/63 + 4\/j. Let u(o) be the second derivative of 11*o**4\/12 - 5*o**2\/2 - 5*o. Let i(z) = 4*z**2 - 2. Determine t*u(d) + 8*i(d).\nAnswer: -d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert b044 (base 16) to base 4.\nAnswer: 23001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11986 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 4*t. Let r(h) = h**3 + 4*h**2 - 5*h - 1. Let x be r(-6). Let q = x + 43. Let j be -2 + 1 + 2 + q + 3. Calculate f(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 382, -1, -4, 2 in decreasing order.\nAnswer: 382, 3, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 81*a**2 - 7*a - 42*a**2 - 8 - 40*a**2. Let k be q(-3). Suppose -k = -w, 3*o - 2*w - 595 = -0*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2536.77465 to 1 dp.\nAnswer: 2536.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 + -1)*(-22)\/4. Suppose 0*i + h = i. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1357 is divided by 120.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from noooonoxonn?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4*1\/(-4) + -2 - -24640 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 385031192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*x + 256 + 2*x - 6072*x**3 + 6073*x**3 - 5*x - 6*x**4 in the form j*x**3 + y + b*x**4 + s*x**2 + q*x and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1993767551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4786203.\nAnswer: 3, 1595401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2676, -2675, -2672, -2667, -2660, -2651?\n\"Answer: r**2 - 2*r - 2675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 0 - 4)*(-6 - 40 - 8)*(0 + 5 - 4)*(2 + 6 - 4)*(-o + 2*o - 2*o) to s + m*o and give m.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1549*y**4 - 23*y + 0*y + 1820*y**4 - 409*y**4 + 1951*y**4 + 27 wrt y.\nAnswer: 58932*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -423*c**2 + 2*c - 165 wrt c.\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2263710 divided by -30?\nAnswer: 75457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3*0.76\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = -5*x + 49, -31*x + 27*x = -3*q - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - -385?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 395201929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 270547558.\nAnswer: 2, 135273779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(3\/7)\/h)\/h*h**6)**(-16) assuming h is positive.\nAnswer: h**(-496\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 15, e: 5}.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/84 - 2\/(-6). Suppose -3*r + 25 = 2*r. Suppose -r*x + 2*x = 0. Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 3*c = 0, 4*c + 308 = 4*o. List the prime factors of o.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 481\/51 - 166\/17. Which is the closest to p?  (a) -2  (b) 5  (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10.670337*0.5.\nAnswer: -5.3351685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, 4, 3 in ascending order.\nAnswer: -24, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**2 - 9*f - 15. Let k be m(-6). Let t = -0.6 - -0.9. Which is the biggest value?  (a) -6  (b) t  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11393803 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qpq when three letters picked without replacement from {q: 10, t: 3, p: 1, x: 2}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 - ((-143431)\/76 + (-2)\/(-8)). Suppose -2*z + 4*p - 633 = -3*z, -3*z = p - v. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 l, and 1 v when three letters picked without replacement from {j: 1, l: 1, n: 1, b: 4, v: 6, x: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*y**3 - 18*y**3 - y**2 - 966 + 6*y**2 + 35*y**3 as k*y + i*y**2 + h*y**3 + r and give r.\nAnswer: -966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 44 + 75. Let a = 183 - t. Suppose 29 = p + 4*f, 62 = 923*p - 921*p + 4*f. What is the remainder when a is divided by p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 18*z. Suppose -20 = -5*x - 0*x. Suppose 5*v - 5*m = -10, 0*v - x*v + m + 4 = 0. Let t(y) = -2*y**2 - 3*y**2 + 4*y**v + 2*y**2. Calculate t(d(r)).\nAnswer: 324*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1632565, 3265129, 4897693, 6530257?\nAnswer: 8162821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12484 is divided by 12399.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15 + -8. Suppose -w*a = -6*a + 14. Which is bigger: a or -15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -88 - 0?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*-2*(-48)\/32?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35033 (base 9) to base 5.\nAnswer: 1221413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (70 - 75) + 0 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 66501, 20 in increasing order.\nAnswer: -9, 20, 66501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3*i**2 - i - 4. Let x(s) = -2*s**2 + s + 3. Let q(f) = 3*h(f) + 4*x(f). Calculate the remainder when 46 is divided by q(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 203690, 407391, 611092, 814793, 1018494, 1222195?\nAnswer: 1425896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, n: 1, u: 4, f: 6, r: 1, g: 2}. Give prob of sequence reff.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 3*u + 26 = 0, -36 = 4*u - 44. Let p(b) = b - 17*b**3 + 18*b**3 - 6*b**2 + 0 + 1. Let i be p(6). Put a, -5, i in increasing order.\nAnswer: -5, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8144079173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g = -9*p + 5*p + 4, 0 = 6*g + 2*p - 12 - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52543 is divided by 17510.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2485 = 38*d + 33*d. What is the remainder when d is divided by (-32)\/(-2) + (-2 - -4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 135 divide 20414045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (-96)\/(-9)) + (-58)\/(-87).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 12 = 0, 3*r - 8 = 2*g - r. Suppose -g*p = -7*p. Let x = -1 - -6. Which is the third smallest value?  (a) x  (b) p  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2. Let u(r) = -3*r**2 + 6*r - 5. What is u(o) - 4*w(o)?\nAnswer: o**2 + 6*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 87.57548 millilitres in litres?\nAnswer: 0.08757548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ezzepzphpz. What is prob of sequence zzh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (-5 - (-1 + 0))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 41.9?  (a) -22  (b) 62  (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 49*w**3 - 20 - 15*w - 34*w**3 - 5*w**4 - 9*w**2 + 34*w**2.\nAnswer: -5*(w - 4)*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 + 0)*10\/(-6). Let g be 2\/(-5) + 7\/k. Let d be (-6)\/(g + 1)*1. Let z(t) = -t**3 - 3*t**2 + t + 2. Calculate z(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1\/4842 - 133969\/33894. What is the common denominator of 1106\/420 + (-4)\/6 and f?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/5 + 4026*n**2\/5 - 809628*n - 8112392\/5.\nAnswer: -(n - 2014)**2*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -115, -3, 2, 5, -59.97 in descending order.\nAnswer: 5, 2, -3, -59.97, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-49)\/(-98))\/((-11)\/12)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3720 and 11676460.\nAnswer: 70058760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.521 - -0.16. What is x rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23474571 and 1018?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(117)*4)\/sqrt(9).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 219770.1 centuries to months.\nAnswer: 263724120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/5, -0.03, 0.4, 0.1, 250 in descending order.\nAnswer: 250, 4\/5, 0.4, 0.1, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -376566*a + 3. Let n be g(6). Let t be n\/108 - (-6)\/27. Let d = 20908 + t. What is the common denominator of d and 99\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -148*31.84\nAnswer: -4712.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -99860.3 and -169.\nAnswer: 16876390.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -114307103 rounded to the nearest ten thousand?\nAnswer: -114310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 303170.\nAnswer: 1212680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -39 + 1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2 + 2)*(4 - 4 + 1 + (1 + 0 - 2)*(99 - 73 + 123))*(-5*d + 4*d + 0*d) to the form u + j*d and give j.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the first derivative of 11*b**3\/3 - 39. Let i(f) = 4*f. Determine i(o(j)).\nAnswer: 44*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -g**2 + 148*g - 4*g**3 + g**4 - 138*g - 5*g**2 - g**2 = 0.\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 1534*f - 4.\nAnswer: 1534*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -312370*d*p**3 + d*p**2*t**3 - 9*d*p*t**3 + 18*d*p - 417*p**3*t**3 - 46*p*t**2 - 6*t**3 + t - 2 wrt p?\nAnswer: -1874220*d - 2502*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 = 33*o + 11*o. Let y(n) be the second derivative of -3\/20*n**5 + 4*n + 0*n**4 + 0*n**o - n**2 + 0. What is the derivative of y(g) wrt g?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h**2 - 7*h**2 - 7*h**2 + 15*h**2 - 7559*h**3 + 7554*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13.04 - -0.04. Let b = -12.5 - j. Sort -4, -8\/5, b in decreasing order.\nAnswer: b, -8\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -94117, -171455, -248795, -326137, -403481?\nAnswer: -480827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 28210 plus -0.1?\nAnswer: 28209.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**4 + 982*b**3 + 27780*b**2 + 99272*b + 95312 = 0.\nAnswer: -23, -2, 518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 21473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1232022134 + -4?\nAnswer: 1232022130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*c**2\/15 - 1304*c\/5 - 637656\/5 = 0. Calculate c.\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 10 - 5 = -3*l, 5*l - 1 = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (-2 - -3 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(2\/9)\/v)\/v*(v**33*v*v)\/v)\/(v**(-2\/45)*v*v\/v**(-2\/35)) assuming v is positive.\nAnswer: v**(3172\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 474 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, 32, 81, 150, 239, 348?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -1385*r**4 + 4 - r**2 + 5*r**2 + 0*r**3 + 693*r**4 + 691*r**4 + 6*r - 4*r**3 in the form t*r + f + h*r**4 + s*r**3 + q*r**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + h + 5 = 0, u - 5*u - 20 = 4*h. Solve 2*q + u*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 30*q + 302. Let k be d(-10). Which is the biggest value?  (a) k  (b) -3\/32  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1449874.\nAnswer: 2, 23, 43, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g and 1 j when four letters picked without replacement from {g: 5, f: 12, j: 2}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 3933 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3, 51, 193, 465, 909, 1567?\n\"Answer: 7*v**3 + 2*v**2 - v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-6312)\/(-39) + 8\/52?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 2\/((-13)\/(-11) - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - -89?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 43931175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of -49*w**3\/15 + 42*w**2\/5 - 36*w\/5 - 4. Determine i, given that d(i) = 0.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19 - -9. Let a = -1 - i. Let p be 6\/((-8)\/6 + 2). Calculate the highest common factor of p and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(10)*1)\/sqrt(2) + (sqrt(5) + sqrt(605) + (sqrt(605) - (sqrt(605) + 1 + sqrt(605))) - sqrt(5)))*4 + ((sqrt(405)*6)\/(3*(-2*sqrt(9) + sqrt(9))))**2.\nAnswer: 4*sqrt(5) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 978353541.\nAnswer: 3, 11, 29, 433, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -5*q + 14. Let r(d) = -d**2 - 11*d + 19. Let h be r(-13). Is o(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minus -0.61?\nAnswer: 9.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 - (1 + 0)) + 0. Let m(v) = v**3 + 13*v**2 + 12*v. Let j be m(-12). Suppose j + 5 = -p. Sort p, 3, w in increasing order.\nAnswer: p, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 362 - 180. Let b = u + -61. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -11*h**2 - 6*h - 1. Let x(q) = 6*q + 23*q**2 - 8*q - 3*q + 18*q + 2. Give 13*a(p) + 6*x(p).\nAnswer: -5*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 5, m: 1, k: 8, n: 5}. What is prob of sequence nw?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 181, 269, 495, 925, 1625, 2661?\n\"Answer: 11*s**3 + 3*s**2 + 2*s + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 73070, 146139, 219208, 292277, 365346?\n\"Answer: 73069*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(2 + (sqrt(320) - (sqrt(320) + 0))**2 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 17836 and 133770?\nAnswer: 267540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 185 + 47 = 0. Let u = -68 - z. Let h = u + -39. Solve -1 = 4*b - h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -n**3\/4 - 2827*n**2 - 5653*n = 0. What is n?\nAnswer: -11306, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9870 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.09 - -418695655186.\nAnswer: 418695655186.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 AM and 10:13 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + 3 + -5 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -63.9 + 61. Let f = 3 + s. Let h = -84 + 83.6. Which is the nearest to 2\/3?  (a) h  (b) 0.2  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 + 9*o**2 - 13*o - 25. Let z be j(-10). What is the second derivative of 306*a**z + 19*a**4 + 6 + 3*a + 5*a**4 - 307*a**5 wrt a?\nAnswer: -20*a**3 + 288*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**4 + 2 - 2 + (-16 + 4*p + 13 + 6*p**4 - 18*p)*(-3 + 3 + 1).\nAnswer: 5*p**4 - 14*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-42)\/(-22))\/(654\/(-7194))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 + 4.1. Let a = -248.6 - -248.1. What is the third biggest value in -5, r, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1 and 1479098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1377340 and 13000.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.27, 0.5, 0.2 in descending order.\nAnswer: 0.5, 0.27, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of 193*l**3\/3 - l - 3. Let t(p) = -22*p. Let w(k) = 65*k. Let f(h) = -6*t(h) - 2*w(h). Calculate s(f(a)).\nAnswer: 772*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 79 - (163 + (-87 - -13))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 861, 3\/2, 578 in decreasing order.\nAnswer: 861, 578, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 329465286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or -3935?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of -2*s**4 + 148*s**3 - 326*s**2 + 216*s + 6191. Factor a(o).\nAnswer: -4*(o - 54)*(o - 1)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, -5, 1\/10, -2349097, 2\/3 in ascending order.\nAnswer: -2349097, -5, -1\/6, 1\/10, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 875 and 204938875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 + 15*g - 6*g**2 - g**3 + 18*g + 23*g + 3 - 50*g. Let x(v) = -3*v - 5. Let s be x(3). Let b = 8 + s. What is t(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the first derivative of -i**2\/2 - i - 1. Suppose 12*k + 938 = 256*k - 770. What is the smallest common multiple of k and a(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 80, 159, 240, 323?\n\"Answer: a**2 + 76*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 208720 divided by 40?\nAnswer: 5218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 l when three letters picked without replacement from lddddldd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 24 = 3. Suppose 6 - 51 = -4*s + b, 65 = 5*s - g*b. Calculate the smallest common multiple of 84 and s.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, 1, 32.03?\nAnswer: 32.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5614643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the first derivative of b**4\/3 - 3*b + 3. Let a(x) be the first derivative of f(x). Let y(s) = -2*s. What is y(a(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h. Let p(w) = -8*w**2 + 218*w. What is p(s(b))?\nAnswer: -8*b**2 + 218*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-10))\/((-27018)\/1580).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 - 8*q + 3. Let o = 12 - 10. Let t be (-32)\/o*(-6)\/12. Let r be f(t). Let h(b) = 3*b - 2. Let u(j) = -3*j + 2. Determine r*u(v) + 2*h(v).\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/13 in -102, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 59 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2115 is divided by 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*k + 167 + 167 - 334 - 8*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 5*m - 946 = -q, -4*m + 321 = q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61729571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxxoxxxxgxepggoxpp. What is prob of picking 4 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 9*z**2 + 4. Let g(o) = -6*o**2 - 3. Let d(x) = 8*g(x) + 5*l(x). Find the first derivative of d(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1101235 or 1101271?\nAnswer: 1101235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 40757 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 4*n = 2*p - 1, 0 = -2*p - 3*n. Let h(f) = 4*f + 3 + 2 + 6 + 5*f**p - 5*f**2 + 2*f. Let y(l) = l**3 - l**2 + l + 2. Calculate -2*h(z) + 11*y(z).\nAnswer: z**3 - z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(315) - 2*sqrt(315))*6)\/(2*-2*sqrt(720) + sqrt(720) + sqrt(720)))**2.\nAnswer: 567\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(612) + 0 + sqrt(612) - sqrt(612)) + -1.\nAnswer: -1 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1071 a factor of 12288073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 2*c + 11 - 12*c + c**2 - 4*c + 32. Does 34 divide s(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 4*d**2 - 7*d + 14. Suppose -y - 1 = -p, 5*p - 11 = -6*y + 9*y. Let j be o(y). Solve -6 = b - 3*m, 3*b + m - j + 10 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 10:11 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11892916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10*d**2*l*u + 4*d**2*u**2 + 3*d*l**3*u - d*l**3 + 3*l**3*u**4 - 2*l**3*u**2 wrt u.\nAnswer: 8*d**2 + 36*l**3*u**2 - 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 82599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 13, q: 1, n: 2, h: 1}. Give prob of sequence eh.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 248.203 litres in millilitres?\nAnswer: 248203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*b - 18*y = -13*y - 33, 12 = 4*b + 4*y for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 141 - 55. Is 43 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 2639 = 8*n - 6*n, -2632 = -3*r + 5*n. Solve -r = 2*i - 883 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*g - 1 - 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -88845, -177692, -266541, -355392?\nAnswer: -444245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 29339 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 258 - 44. Suppose -u - k - 204 = 0. Is 0 - 3\/(-3) - u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6185.8 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -120 - 2120?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3555828, -3555797, -3555766, -3555735?\nAnswer: -3555704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a factor of 70211718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 48 + -49. Let r(y) = -y - 2. Let h be r(a). Which is bigger: h or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*h**5 - 4*h**5 - 7*h**5)*(-9 + 19 + 8).\nAnswer: -90*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (10 - 7) - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 170838307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u*u*u**0*u))\/u**(-2))\/(u\/(u*u**(-2\/3)\/u*u)*u)**(2\/17)*((u\/u**5*u)\/u*u*(u**3\/u)\/u*u)**(-42) assuming u is positive.\nAnswer: u**(2132\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 2\/9, 1, 0.07?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -623 + 2*a**2 - 34*a + 232 + 409 in the form g*a**2 + d*a + l and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2317.49 times -3?\nAnswer: -6952.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 8*t - 1900 = 0. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 e when three letters picked without replacement from {x: 1, h: 1, e: 2, y: 1, l: 2, m: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zhoz when four letters picked without replacement from {o: 1, e: 1, f: 1, x: 1, h: 1, z: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*a**2*q*w - a**2*q - 339*a**2*w + 2*a**2 + 250*a*q*w - 2*a + 3843*q wrt w?\nAnswer: 2*a**2*q - 339*a**2 + 250*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 128 - 94. Calculate the remainder when (k\/(-51))\/(6\/(-603)) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of -5*i**3\/6 + 3*i**2 - 20*i. Let a(t) = 4*t - 5. Give 7*a(r) + 6*h(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - -8) + (0 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2595626 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2325 and 17911800.\nAnswer: 17911800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -674*b**2 - 1570*b**2 - 256*b**2 - 372*b**2 - 1999*b + 1103*b**2 wrt b?\nAnswer: -3538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 - -104. Suppose a + 110 = 9*q. What is the highest common factor of 10 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -44, -3\/4, 2\/7 in ascending order.\nAnswer: -44, -3\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in eleven tenths of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (6 - 1)) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 309.185 + -309. What is c rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14797 - 14739) + (1 - 134)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, -6112.3, 7, -10\/3 in increasing order.\nAnswer: -6112.3, -4, -10\/3, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*l**3 + 4 - 4)*(47*l - 143*l + 2 + 59*l).\nAnswer: 222*l**4 - 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + 1. Suppose j = h - 6 + 2. What is the remainder when 6 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-312)\/(-182))\/(((-356)\/6230)\/(24\/(-45)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2 + 131*t + 1882. Calculate a(-16).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1282274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000 - -1000000?\nAnswer: 1001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1b61 - 1a86?\nAnswer: -36e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1136\/3 - 377. Suppose a*y**2 + 4\/3*y**3 + 2\/3*y + 1\/3*y**4 + 0 = 0. Calculate y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of 0*w + 3 - w**4 + 0*w**2 + 4\/3*w**3. Find the third derivative of f(n) wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 589350604 to the nearest integer?\nAnswer: 24277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-2) - (-25)\/10. Solve 0*t - j = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*q**2 + q**2 - 2*q**2)*(0 - 1 + 3 + (-680 + 1646 + 770)*(0 + 2 - 1)) in the form d + r*q**2 + c*q and give r.\nAnswer: 3476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2*y + 309 = 320, -4*y - 29 = 5*g. Let x = 7 + -3. What is the fourth smallest value in x, 3, -17, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13003 - 117025\/9. Solve 2\/9*s**2 + v + 4\/9*s = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 16, 4, 0, 288.23, 10\/9, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 61 - (31 + -7 + 21 - 13)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 19207704 divided by 7\nAnswer: 19207704\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 240659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/(-2) - (-9)\/(-18). Suppose 3 = -b + h*b. Suppose c - 3*x = -c + 9, b*c - 8 = -x. Solve c*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 880 = -270. Calculate the remainder when n is divided by 81.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/161, 1, -9 in decreasing order.\nAnswer: 1, 2\/161, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -4*r - 15, 2*v + 6 = -4*r + r. Let c = 3 - -1. Suppose -c*d = d - 25. Solve r = 3*g - d*i + 28, -3*i = -3*g + 2*g - 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 - 10*d**2 - 8*d - 6. Let c be m(-9). Let z be 1\/(c\/9)*-5. Solve -3*h**2 - 2*h + 5*h**z - 2*h**3 + 3*h - h**3 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2009*s + 3908*s = 1864*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(153)\/(sqrt(324) + sqrt(9)).\nAnswer: sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -16989.80928373 and 0.7.\nAnswer: -16989.10928373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1267 + 1260 + 12 + (1 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 4:03 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 11:52 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27.3 - 27. Let j = -26 - -23. Sort 1\/4, j, q in descending order.\nAnswer: q, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-50)\/1260*3*6?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7736*-6.\nAnswer: 46416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sjj when three letters picked without replacement from {j: 2, s: 5, h: 5, v: 2, p: 1, l: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 360136 by 1652.\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 6*-3*sqrt(175).\nAnswer: -90*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 10*v - 9*v. Suppose 9 + v = 4*h. What is the highest common factor of h and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -149*c**2*x**3 + c**2*x**2 - 782089*c*x**2 - 1657*x**3 wrt x.\nAnswer: -894*c**2 - 9942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2182 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22 and 40007?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (20\/(-25))\/(1\/5). Let q = -17 - t. Let l = q - -42. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 8, 22, 3\/31, -5?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -1 + 0 + 0 + 121*b**2 - 45*b**2 + 16*b. Is l(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 - 6. Let f be 10\/v + 10\/30. Let w = -0.05 + 0.45. What is the nearest to 1\/4 in f, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -2425426\/343 and -7071 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 260, 194, -22 in descending order.\nAnswer: 260, 194, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 11\/(-2) - ((-1362498336)\/64 - -31). Round n to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 8:06 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 667731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 0.8015724ns?\nAnswer: 0.00000000001335954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 9*w**2 - 2*w + 3. Let o be f(1). Let d be (-2)\/3*(-45)\/o. Suppose -x = -4 + 2. Solve 6 = -4*v - b, -d*v - 2*v - x*b = 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100 + -97 + 109 + -93\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 89\/2 of a tonne in kilograms?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 48 and -11.4.\nAnswer: 36.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/8 - 103\/728416*7124.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 5 - 97. Let l = 92 + -107. Let c = l + 24. What is the remainder when q is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 252 - 175. Let f be 14 - (-1807)\/13 - -17. Suppose w = c - f. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 33 - 39. Put p, -0.3, 0, -1\/8 in decreasing order.\nAnswer: 0, -1\/8, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x - 1. Let r(z) = z**2 + 20*z - 1. Let b(f) = 6*n(f) - r(f). Let h(u) = -u**2 - 5*u. Let w be h(-6). Is b(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2590 and 370.\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -113 - -11?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 PM and 7:15 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 12*h - 6. Let p be w(10). Let m = -869\/8 + p. Calculate the common denominator of 119\/24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*p = -10*p - 31042. Let i = -264 - p. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*p + 117*p - 2885925 = 0. List the prime factors of p.\nAnswer: 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-374)\/110 + (-2)\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7056 divided by -24?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 8*a**3 - 2*a**2 + 4*a - 1. Let g be (-54)\/(-21) + ((-12)\/21 - 0). What is the remainder when u(g) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 364675 and 986?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 7. Let n be 8\/(-10) + f\/(-15). Let x = n + 12. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 45 - 20 = -x, u - 3*x = -30. Let v be (12\/(-110))\/(-4 - 51\/u). Which is the nearest to 2?  (a) 1  (b) v  (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 2*f + 5)*(214 + 437 + 485 - 132).\nAnswer: -2008*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9512 and 232?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3863287 or -1\/191?\nAnswer: -1\/191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is q in q**2\/3 + 699479*q\/3 - 3730640 = 0?\nAnswer: -699495, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 13 - 14*h**2 + 4*h**2 - 2*h**3 + 3*h**3 + 11*h - 10*h. Is w(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wbwwwwbwwbww. What is prob of sequence wb?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of c**6\/660 + 4*c**5\/165 - 23*c**4\/132 - 10*c**3\/11 + 10583*c**2. Factor o(a).\nAnswer: 2*(a - 3)*(a + 1)*(a + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 228 + -149. Let z = t + -52. Round z to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4636667612 to the nearest integer?\nAnswer: 1668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 351*n - 1570. Give s(5).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (224\/80)\/(-4*3\/6).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2*s - 8. Let r be k(-5). Let n = 51 + r. Suppose o = n - 1. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-4)*7\/(588\/(-16)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8, 137, 350, 647?\nAnswer: 1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1178529\/40 + 29465. Find the common denominator of d and 109\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4955803.\nAnswer: 4955803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 409995 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -5) + -4 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 + 0 + 1)*(1 + 0 - 3) - 1 + 5 - 1)*(0 + 3 - 1)*(0 - 1 + 3)*(-2*k + 94 + 32 + 5) to x*k + y and give y.\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 384647828.\nAnswer: 2, 96161957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1120002101022 - -12002?\nAnswer: 1120002120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24*x**3 + 51*x**2 + 946 - 471 - 469 + 19*x**3 to the form p + n*x**2 + a*x**3 + v*x and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 0.027, -2, 0?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 PM and 9:28 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -50 (base 9) to base 15.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 7:16 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nmnnnjnjjnnnj. Give prob of picking 2 n and 1 j.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 16*f**3 - 7*f**2 + 6*f - 78. Is z(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 24 + 6. Calculate the remainder when 59 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c*c*c**32\/c*c)\/c)\/c)\/((c\/(c**27\/c))\/c))\/((c*c**(-8\/11))\/c)**(-30) assuming c is positive.\nAnswer: c**(398\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {z: 1, f: 4, d: 2, s: 6, u: 4, a: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4771372723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**3 + 14*a**2 + 18*a - 14. Does 17 divide f(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 95.201 + -0.201. Let b = -6166.025 + 6261. Let k = z - b. What is k rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u**(-23)\/u)\/u)\/u**(-3\/17))\/(u**2*u*u**(-4\/15)) assuming u is positive.\nAnswer: u**(-6772\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 111 + -99. Let r(p) = 11*p**2 - 3 + 73*p - 7*p**2 + f - 28*p. Is r(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 13*s**2 - 8*s - 2. Let i(m) = 90*m**2 - 60*m - 15. What is -30*b(u) + 4*i(u)?\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 3 r when four letters picked without replacement from vvrvvvrvvr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (66*z**3 - 1420 + 1420)*(4*z + 6*z - z) + (z - z - z)*(5*z**3 - 6*z**3 - 5*z**3).\nAnswer: 600*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*v - 3*v - 5*v + 19*v as i + w*v and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8561?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1316402 - 5?\nAnswer: 1316364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*7.801481.\nAnswer: 0.7801481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 4*c - 24 = -6, 0 = -4*c + 12. Is (-50448)\/w - 3\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*b - 5803*b**2 + 11591*b**2 - 5935*b**2 as d*b**2 + j*b + n and give d.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*k + 7 = -77*k. Let r be 1*4 - (-3)\/3. Solve 3*j - r = k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-5)*m*m**(2\/25))\/((m**(1\/11)\/m)\/(m**(-3)*m)))\/((m**(2\/9)\/m**(1\/9))\/(((m\/m**(-2\/13))\/m)\/(m**(-1\/4)\/m*m))) assuming m is positive.\nAnswer: m**(-607229\/128700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 289896*o**3*w**2 - 2*o**2*w**2 + 2*o**2 + 458*o*w**2 - 5*o*w + w**2 wrt o?\nAnswer: 1739376*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 630908081.\nAnswer: 3187, 197963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(28))**2 - (sqrt(7) + (sqrt(63) + 1)**2).\nAnswer: -33 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3662295 and 130.\nAnswer: 7324590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = s + 4*o, -3*o = -2*s + 2 + 32. Suppose -87 = 25*q - 337. What is the least common multiple of q and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -73905 - -6?\nAnswer: -738dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 638203 (base 12) in base 14?\nAnswer: 2cbc9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*q = 16*q - 780. Suppose 0 = 32*r - 11*r - 63. Solve -27 = 5*x + r*n, x + x + q = -5*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 1)*((-18*s - 13*s + 7*s)*(6*s - 3 + 3) - 2*s**2 + 0*s**2 + 3*s**2 + (-3 - 1 + 6)*(-2*s**2 + 5*s**2 - s**2) - s + s - s**2).\nAnswer: 280*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 498651270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 5 + 100*r - 3 + 0.\nAnswer: 100*r + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -154*o**2*q*w - 22*o**2*q - 10*o**2*w**2 + 3*o**2 - 2 wrt w?\nAnswer: -154*o**2*q - 20*o**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 838236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 500701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 46 = -v, 3*v - v - o - 83 = 0. Let j(k) = -97*k - 145. Calculate the remainder when j(-3) is divided by v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -405*v + 366*v + 1210092. What are the prime factors of v?\nAnswer: 2, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24246712 (base 9) in base 6?\nAnswer: -1101443232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 - 4475?\nAnswer: -4472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*w - 10*w + 28. Let m(y) = -y**2 - w*y + 3*y**2 + 7 + 0*y**2. Is m(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 1733 = 17. Suppose 0 = -3*f + 14*f - p. Find the second derivative of 27*a - 82*a - f*a**3 + 18*a + 9*a wrt a.\nAnswer: -234*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uwyvuuvuyyyw. Give prob of picking 2 y.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2 - 3*j + 14677. Let z be p(0). Let -z*d**2 + 14713*d**2 + 24*d + 5 - 1 = 0. Calculate d.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -v - 2*x, -5*v + 137624*x + 91 = 137625*x for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 16001 - -13?\nAnswer: 16014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8\/39 + -6\/13. Which is the second smallest value?  (a) j  (b) 3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 116 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(54\/(-15)))\/((-6)\/18)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3402.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*u - 65 = 143. Let t(j) = -2*j**2 + 1. Let w(p) = -4 - 3*p**2 + 9*p**2 + 2. Calculate u*t(l) - 3*w(l).\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9470 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 804 + -776. What is the remainder when 96 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1463*f + 982*f - 26936 = 0 for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11\/(110\/(-10)))\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 1334 = 1114. List the prime factors of j.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/10*835\/1002?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -186, -369, -564, -777, -1014, -1281, -1584, -1929?\nAnswer: -2322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the third derivative of -c**5\/120 + 3*c**4\/8 - 2*c**3\/3 - 2*c**2. Let n(o) be the first derivative of r(o). Is 16 a factor of n(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2501234 (base 6) to base 4\nAnswer: -200112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8.399576 + 9.19903. Let t = -0.8 + b. What is t rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s**3\/9 + 190*s**2\/9 - 1583*s\/3 - 3180 = 0 for s.\nAnswer: -5, 36, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzkzkkkk. What is prob of picking 3 k?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 338\/(-6)*(19635\/1001)\/(-85).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -120 and -947.\nAnswer: 113640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(7)*1)**2 - (sqrt(7) - 6*sqrt(7)*-1)**2.\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -57023*p - 342157. Give x(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the second derivative of -1483*w**4\/12 + 2*w**3\/3 + 234*w**2 - 33*w + 29. What is the second derivative of j(g) wrt g?\nAnswer: -2966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12*c**2 - 26*c**3 + 29*c**3 + 11*c**2 + 2*c)*(9*c - 2*c + 30 - 31)*(4 - 2 - 1) in the form b + l*c**4 + w*c**2 + t*c + r*c**3 and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*u - 3*f + 10 = 12*u, 3*f = 3*u + 6. Is (3\/12)\/(u\/(-4))*53990 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -4*sqrt(320).\nAnswer: -32*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 103434.\nAnswer: 2, 3, 17239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y = -17*y + 36. Solve -8 = -y*d + 4*l, -2*d + 6 = -3*l + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109*u - 97*u - 252 = 0. Solve 2*z - u = -l - 12, 0 = 3*l - 3*z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1640 + -289. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6158 is divided by 2649.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -i**6*z**2 - 1188*i**6*z + 9*i**2*z**2 + i*z**2 + i - 504*z**2 wrt i.\nAnswer: -120*i**3*z**2 - 142560*i**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.02 - -0.48. Let z = b + -1. Let c = 0.2 - 0.1. Put c, 0, z in decreasing order.\nAnswer: c, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 334*j**3 - 3*j**2 + 21*j. Let a(f) = -f**3 - f**2. Let i(v) = 3*a(v) - m(v). Find the second derivative of i(l) wrt l.\nAnswer: -2022*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*d**4 + 2183469*d**2 - 2179815*d**2 - 20*d**3 + 8*d**4 wrt d?\nAnswer: 240*d - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*g + q, -14 = 4*g + 4*q - 34. Solve k = -g*z - 2 - 7, -k = 5*z + 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**2 + 4 + 2*i + 6*i + 6*i. Let c be d(-14). Let o(m) = -m**2 + 6*m - 4. Calculate o(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -264 = -4*p - 62*z, -4*p - 28*z + 8 = -30*z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of -5*d**4\/24 + d**3\/3 + d**2. Suppose 4*t = 4*g - 20, 0 = -0*t - 2*t + 3*g - 11. Is n(t) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42184800 divided by 40\nAnswer: 1054620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = -5*d + 125 - 175, 14*d + 7*d - 3*j + 210 = -j for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 1  (c) 2\/27  (d) 5  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6585 is divided by 3286?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*k**2 + 3*k**3 - 10*k**2)*(k - k - k)*(5 - 6 + 0).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*a - 166*a + 2436 = 0 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) 0  (c) -23  (d) -5\/79  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -56*g**3 - g**2 + 6*g + 6. Let u be v(-1). Suppose u*s = 54*s + 6. Solve -2*o - 4*i = -2*i - s, 5*o = 5*i + 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31*g + 7*g**2 + 31*g - g**3 wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 - 11*i**2 - 4*i + 15. Suppose 5*y - v + 6 = 17, y = -3*v + 15. Let c(t) = t**2 - 8*t + 4. Let j be c(y). Is z(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*h**2\/2 - 255*h\/2 - 129 = 0. What is h?\nAnswer: -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -5898716\/5 greater than or equal to -1179743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (120 + -121 - (0 + -9 - 2)) + -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-8)*8\/(-1). Suppose -6*m + 31 = 1. Find the third derivative of l*a**2 - m*a**2 - a**2 - 2*a**5 wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of (-8)\/(-52) - 41840\/(-130)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 15 = 4*l + 5, -2*n - 4*l = 14. Let m = -0.02 - -0.42. Which is the nearest to -0.1?  (a) n  (b) m  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4500 is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 42856189 to the power of 1\/2, to the nearest integer?\nAnswer: 6546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 130 - -171. Suppose -551 - h = -4*y. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2028, -875, 278, 1431, 2584?\nAnswer: 3737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.02 - 0.18. Suppose 4*r - 3 = 1. Which is the third smallest value?  (a) -2\/13  (b) r  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -15533763.\nAnswer: 4\/15533763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1.5, 2\/3, -0.08, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -209 = 6*n - 809. Calculate the smallest common multiple of 740 and n.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 974802 from 258882299.\nAnswer: 257907497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 213, 214, 215?\n\"Answer: p + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6529.9715 times 1?\nAnswer: 6529.9715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24577 is divided by 12273.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 27 * -62.462\nAnswer: -1686.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-2 - (-3 + 4)) + 5 - -89.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 155481 is divided by 19418.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1839?\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -284.1 + 280.572. What is o rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 1.5. Let w = 737.7 + 70.3. Let b = w + -810. Sort t, -1\/4, b, 1 in descending order.\nAnswer: 1, -1\/4, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 AM and 11:03 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/4 in -5\/13, 3, 101\/6, 5, -4.7?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-20)\/2)\/((-20)\/30). Suppose 2*v - 3*b - 3 = -0, 4*v - x = 3*b. Solve 12 = 3*o, -3*d - 4*o + v = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, -357, 0, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*y + 169 = y. Suppose 0 = y*g - 10024 + 4161. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -25*d + 2 - 52 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.662 rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -22*x**3\/5 + 794*x**2\/5 - 1440*x + 648\/5 = 0.\nAnswer: 1\/11, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2604 - -1574. Let d = 1079.3 + f. Let u = -47 + d. What is u rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 457 = -2*w, 0 = -4*r - 4. Solve -w + 125 = -21*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.7 - 4. Let m = -36\/77 + 2\/11. Which is the closest to j?  (a) -0.3  (b) 5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/6 - 40\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6899.2554 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/19)\/a**(-3\/10))**(2\/35)\/(a*a**2\/a*a**(-3))**(-1\/31) assuming a is positive.\nAnswer: a**(-2178\/103075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-2))\/((-7)\/(210\/25))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -4*y**2 - 3 + 3. Suppose 5*z - 4*p + 9*p - 10 = 0, -5*z + 4*p + 10 = 0. Let n(f) = f - 5*f + z*f + f. Determine u(n(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 i when three letters picked without replacement from hiix?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) 2.198  (b) -1.68  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) -0.3  (b) 21624  (c) -16  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cfffonniin. Give prob of sequence nncn.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of 82 + 281\/12*c**4 + 92\/3*c**3 + 0*c**2 + c. Find the second derivative of m(b) wrt b.\nAnswer: 562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/13 or 8294\/7?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2 + -3)\/((-2)\/6). Let j = -62 + 66. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4344788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -140*x**3 - 156*x**3 - 213*x**3 - 221*x**3 + 775*x**3 - 154*x**3.\nAnswer: -109*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 2*c**2 - 24*c + 19. Determine z(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -31670 * 5.\nAnswer: -158350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 744447784.\nAnswer: 2, 93055973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2120 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: Does -1202361\/16 = 5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 + 7*x + 2. Suppose 11 + 1 = -4*k. Let r(b) be the first derivative of b**2\/2 - 3*b - 2. Let p be r(k). What is y(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 divided by 27?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -3*(-6)\/(11\/((-132)\/(-90)))\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -630\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 (base 16) in base 7?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 3*b - 41. Let t = -11 + b. Let l be 2\/t + (-447)\/(-18). Solve 5*w + 3*g = 6*g - l, 5*g = -4*w - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, 9, 8 in ascending order.\nAnswer: -5, -3, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1*(-1)\/1)\/1. Let n(x) be the third derivative of -x**6\/60 - x**5\/20 - x**4\/24 - 571*x**2. Let o be n(m). Solve o = 4*d + 11 + 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -18 - 12*w - 81 + 22*w**3 - 20*w**3 wrt w.\nAnswer: 6*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 + 10*k**2 - 3*k - 18. Determine z(9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4949.761 litres in millilitres?\nAnswer: 4949761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 1897*w**2 - 2 - 449*w**2 - 1450*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2603 - -6682. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.112 + -51.032. Let c = o + 48. Let g = c + -0.08. What is the smallest value in g, 0.3, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1469822939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-108)\/(-5) + (-18 + 1209\/65)\/(-1)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 - 7. Suppose -n*m + 1044 = -2*w, 0 = m + m - 4*w - 408. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 99\/(-132) - 2387\/(-4). Is (h\/16)\/((-3)\/(3 - 15)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13899*a + 413365 + 434474 = 0 for a.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 109, 142, 163, 166, 145, 94, 7, -122?\n\"Answer: -n**3 + 40*n + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 + 3*z**2 + 2*z + 4. Let v be u(-3). Let j(c) be the second derivative of 23*c**4\/12 + c**3\/6 - c**2 + 8*c. Does 19 divide j(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2, -2, -0.01, -3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 90504070*d**4 - 2*d**2 + 17463*d + 66.\nAnswer: 2172097680*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 133148?\nAnswer: 2, 33287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41454\/329*((-580)\/24)\/(-29).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 PM and 1:40 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1))**13\/(i**(1\/3)\/i**(5\/6))*(i**4\/i)\/i*i*i**3*i*i**(-2)\/i**1 assuming i is positive.\nAnswer: i**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 16 - 25?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the third derivative of -z**4\/4 - 13*z**3\/6 - 131*z**2 + 2*z. Let j(c) = 3*c + 6. Determine -9*j(g) - 4*m(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-12) - 13944\/672?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 564 - 323. List the prime factors of r.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -8 - 98\/(-5) - (-6)\/15. Solve -9*c = -15*c + g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -612, -4043, -13182, -30879, -59984?\n\"Answer: -475*x**3 - 4*x**2 - 94*x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 j when three letters picked without replacement from jjqjqjqjjq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -6, 7, 44, 117, 238?\n\"Answer: 2*n**3 - n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 296 a factor of 9337461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -11143 divided by 11277?\nAnswer: -11143\/11277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1844639*k**2 + k - 12317549.\nAnswer: 3689278*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -273*u**3 - 3*u**2 - 4*u + 6. Let a(v) = 1366*v**3 + 16*v**2 + 22*v - 32. Give -3*a(z) - 16*s(z).\nAnswer: 270*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -31 - -34. Suppose -k = -v + 3*a, -v + 49 = 2*v + a. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1324516\/96129 - -8\/10681. Suppose -23 = 2*w + 5*h + 17, 3*h = -6. Is w smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-14\/9)*x**(-2\/21)\/x)\/(x**22*x*x**(-12)*x) assuming x is positive.\nAnswer: x**(-860\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 + -533?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-165))\/(6*17\/(-102)).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -5*w + 2*w. Suppose 3*r - 5*r + 3*r = w. Suppose 3*c = -r*c. Solve -m - 2*m + 9 = c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -159*t**3 + 334*t**2 - 32*t.\nAnswer: -t*(t - 2)*(159*t - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.74 + -2.26. Let n = 6 + -23\/4. What is the closest to n in y, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1419*w + 1459*w - 160 = 0. Suppose -5*u + 23 = -2*j + 61, 0 = 5*u + 10. Solve 3*n + 3*q + w = 10, 0 = -3*n + 5*q + j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 42*p + 12. Let h be y(-5). Let g = h - -203. Let f(z) = 2*z**2 + 4*z + 1. What is the remainder when f(-4) is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1280 = -359*u + 103*u. Let r(f) = 61*f + 300. Calculate r(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/((k*(k\/k**10)\/k)\/k*k)*k*k*((k*k**3)\/k)\/k)**(1\/4)\/((k*k**5\/k*k**(-3\/4))\/((k**7*k*k)\/(((k\/(k**(-7)*k))\/k)\/k*k))) assuming k is positive.\nAnswer: k**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + r = 3, -6*z - 2*r + 1 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37 - 20*t**2 - 74 + 37.\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)\/(sqrt(36)\/(sqrt(30)\/sqrt(5))))\/(5*-4*sqrt(288)).\nAnswer: -sqrt(3)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1060516 > -1060690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + w - 1 + ((-2 + 0 + 1)*(6 - 3 - 4) + (11 - 9 + 14)*(3 - 5 - 3))*(2*w - 2*w + 2*w) to the form r + y*w and give y.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 12:52 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 3*w**3 + 12*w + 0 - 7*w**3.\nAnswer: -4*w**3 + 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 1:33 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 207 - 211. Let l(x) = x**3 - 18*x**2 - 17*x - 37. Let h be l(19). Put y, 5, h in descending order.\nAnswer: 5, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-16388)\/51 - ((-6)\/(-9))\/(-2). Let h = 529 + j. Calculate the highest common divisor of 26 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the first derivative of 890*a**3\/3 + 2245*a - 1488. Differentiate y(p) with respect to p.\nAnswer: 1780*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p**5\/3 - 2*p**4 + 22*p**3\/3 + 10*p**2 - 92*p\/3 + 16 = 0 for p.\nAnswer: -4, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 68\/605 and -76\/1155?\nAnswer: 12705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 152 + 45 + 63 = 5*m + 10*d, 15*d = 5*m + 340 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4403 + -4099. Which is smaller: 0.3 or y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 669*v - 470. Let b(q) = -7*q + 1. Let p(j) = -3*b(j) + g(j). What is the first derivative of p(t) wrt t?\nAnswer: 690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -266589*d**2 + 126243*d**2 + 140343*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 + 41. Suppose -f = -5*s - 7. Let c = -3 + s. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2579787182?\nAnswer: 2, 7, 26324359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 3, 2\/13 in increasing order.\nAnswer: 2\/13, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 7. Let i = 842 - 542. Let r = 299.8 - i. What is the closest to -1 in r, m, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 301910675 divided by -5?\nAnswer: -60382135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) 0  (c) 38  (d) -1  (e) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*w + 46 + 20*w - 14*w - 3*w**2 wrt w.\nAnswer: -6*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ususaauuaasau. What is prob of picking 1 u and 2 s?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0028024 to 5 decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j**5 - 196*j**4\/5 - 216*j**3\/5 + 116*j**2\/5 + 246*j\/5 + 16 = 0. Calculate j.\nAnswer: -5, -1, -8\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 12 + b - 3 - 6 - 6*b - 8.\nAnswer: -5*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 95565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 38 and 7.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 219 - -646. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 23636 and 0.5.\nAnswer: 11818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -3*d**4 + 1 + 10*d + 9*d**4 - 6 + 5*d**3. Let m(c) = -c**4 - c**3 - c + 1. Let p(i) = -b(i) - 5*m(i). What is the second derivative of p(u) wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (32\/10)\/(2\/15). Suppose 4*s = -2*j + 3*j + 4, -3*j + 5 = 5*s. Suppose j*o - 2*o = -a. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -4*i + 29, 5*i + 0 = 5*t + 10. Suppose 0 = 3*x - 15 - t. Let m be (x\/(-4))\/((-3)\/4). Sort m, 1\/9, 1 in ascending order.\nAnswer: 1\/9, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00009364 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/240 and 95\/14208.\nAnswer: 71040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (150\/35)\/((-2)\/(-14)). Let k be y\/3 + (-2)\/(-2 - -1). What is the third smallest value in 1\/3, k, 4\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 2272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/((-84)\/(-18))*(-1)\/9.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/2, -1, 3\/19, -10.035, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 2*w - 29 = 0, -4*c + 3*w + w + 40 = 0. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 1028 = -d - 1023, -4*s = -2*d - 20. Put -26, 5, -14, d, -1 in increasing order.\nAnswer: -26, -14, -1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*j + 1455 = 1545 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6783 = -1004*t + 983*t. What is the greatest common factor of 187 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + x = -86, -4*p = 2*x - 111 + 31. Find the third derivative of -p*w**2 + 91*w**4 + 152*w**4 - 79*w**4 + 69*w**2 wrt w.\nAnswer: 3936*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.540812465 - 1.5408. What is z rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -23315*c**3 - 13011*c - 2.\nAnswer: -139890*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -d**3 + 20*d**2 + d + 117?\nAnswer: -6*d + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1791, -1792, -1793, -1794, -1795, -1796?\n\"Answer: -b - 1790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3095 + -18?\nAnswer: -3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 78 + 52. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.05798 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17, 35, 57, 83?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 48, 98, 150, 204, 260?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) -41\/4  (c) 3  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4692009 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 7 = 2*x. Suppose -x*g + 148 + 32 = 0. Let z be 140\/g*(-3)\/(-2). Sort 2, -5, z.\nAnswer: -5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -6*h + 3. Let i be 1\/((-3)\/6) - (-3 - h). Calculate the greatest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nmq when three letters picked without replacement from {m: 3, q: 6, n: 6}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/18 and 11 + 5840\/(-288) - (1 - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*n**2 - 4*n**2 + n**2 + (0 + 0 + n**2)*(2 - 1 + 1) - 4*n + 4*n - 2*n**2 + 538*n**2 - 30*n + 57*n - 28*n + 2.\nAnswer: 539*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 136080 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1972395.2 to the nearest one thousand.\nAnswer: 1972000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*s**2 - 559*s**3 + 460659 - 460659 - 2*s**4 + (1 - 2 + 2)*(s**4 - 3*s**4 + s**4) to the form t*s**2 + a + w*s + g*s**3 + q*s**4 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 72442 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*n**3 + 90*n - 90*n + 10*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - 3*x + 37, 5*x - 13 = 2. Suppose 88 = -5*o + q*o. Is 21 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 629286 to the power of 1\/2, to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 2*s = 5*u + 15, 0 = -2*s - 5*u - 15. Suppose -i + 4*i - 24 = s. What is the smallest common multiple of i and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -186*g**2 - 2*g**4 + 606*g**3 - 49 - 1217*g**3 + g + 52 + 607*g**3 as u*g**3 + h*g**4 + k*g + w*g**2 + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 5*g**4 + 3130*g**3 + 15405*g**2 - 74520*g = 0.\nAnswer: -621, -8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 894.96659 to the nearest 10.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*w + 2 + 2*w - 2*w)*(15 - 15 - 7*w + (3 - 2 + 0)*(-4 + w + 4) + 2*w + w + w) to h*w + i*w**2 + j and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(2\/59)\/(s**(-32\/3)*s))\/((s**46\/s)\/(s**(-2\/145)\/s)) assuming s is positive.\nAnswer: s**(-931979\/25665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -354195*u**3 + 917669.\nAnswer: -1062585*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2)\/4)\/(5\/10). Let g be (-16 - d)*9\/(-45). Solve -3*l + 4 = t, g*t = -0*l + l + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q**2. Let c(t) = -t - 2. Let l(m) = -8*m - 17. Let k(o) = 51*c(o) - 6*l(o). What is k(h(v))?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -85*t**2*x**3 + 3*t**2*x**2 - 12*t**2 - 27*t*x**3 + 2*t*x**2 + 71*x**3 - 4*x + 129 wrt x?\nAnswer: -510*t**2 - 162*t + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 4*v**3 - 5*v**2 - 4*v + 6. Let p(o) = 7*o**3 - 9*o**2 - 8*o + 11. Let k(z) = 3*p(z) - 5*y(z). Let x be k(3). Solve -r = -x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 7 = -13. List the prime factors of -1*(-12 - (1 - s)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (9 - 10)\/((-1)\/27). Let d = w - 32. Let y(t) = t**3 + 3*t**2 - 11*t + 1. What is the lowest common multiple of 4 and y(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5)\/2*64\/(-20). Suppose -a*m + 45000 = -5*m. Let l be (-2 - 12\/9)*m. Round l to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06909 + -130.\nAnswer: -129.93091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 232\/45 - 3293\/630. Which is the closest to -46?  (a) -10  (b) h  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + -1133661?\nAnswer: -1133657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1425 + 1555. What is the lowest common multiple of 143 and j?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, k: 1, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 4 + 1 + -2 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.2, -96, 0.4, -13, 11\/5, -0.3?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 2*c + 885 = -763, q - 2*c = 336. Suppose 1648 = 5*k + 2*f, k + 5*f = 3*f + q. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*a - 16*a + 2*u + 3 = 0, 5*u = -4*a - 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*s + 3*s + 7*s to the form q*s + x and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes after 5:37 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3024, -11670, -25924, -45786, -71256?\n\"Answer: -2804*w**2 - 234*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30, 217, 574, 1185, 2134, 3505, 5382, 7849?\nAnswer: 10990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1079)\/208 - -1*5)*4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1642 + 1667. Solve 14 = 13*o - v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -3*p + 297, 8 + 91 = d + 9*p. Solve 140*k - d*k = 164 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (5 + (sqrt(208) + 0 - sqrt(208)) + 5*((sqrt(208) - (sqrt(208)*-2 + sqrt(208))) + sqrt(208)) - (-2 + 1 + 2*sqrt(208) + sqrt(208))))**2*3.\nAnswer: 864*sqrt(13) + 89883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 - 9*o**2 + 12*o. Calculate y(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x - 4. Let m be h(10). Suppose -m*n - 12 = -9*n. Suppose 2*a = 8 + n. Calculate the smallest common multiple of 3 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3 - -4907*269 - 1. Suppose -4*r = b + 566218 - 2326213, 3*r - a = -3*b. What is r rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q + q + 3*q)*(3*q**2 - q**2 - q**2) + 26*q**3 - 4*q**3 - 3175*q**3.\nAnswer: -3152*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-9 + 8)*0\/2*1. Let l(x) be the third derivative of 0*x**3 + a*x + 0 - 1\/210*x**5 - 1\/42*x**4 + x**2. Factor l(t).\nAnswer: -2*t*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 674012.16us?\nAnswer: 0.0001872256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.03 in -53, -39, -12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 272*p - 137629. Calculate u(506).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 1776 = -6*f. Let q = 136 - f. Is (54168\/(-21) + q\/(-28))*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-216)\/(-21)*546\/468?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 AM and 1:42 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4\/7, 3, 2\/3, -16\/29, 1.3, 4, 1\/2?\nAnswer: -16\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 1572*c - 3. Let x be l(3). List the prime factors of (-12)\/(-78) - x\/(-39).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -1829*i - 27658. What is d(-15)?\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, -1058, 5.\nAnswer: -1058, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -29*i**4 + 75*i**4 + 3*i**4 + i**3 + (-2 - 1 + 2)*(3*i**4 - 3*i + 3*i).\nAnswer: 46*i**4 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1aadb (base 15) to base 13\nAnswer: 306a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 PM and 10:53 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0295110779 + -0.4.\nAnswer: -0.3704889221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 1. Let x(g) = 16*g - 2. What is n(k) - x(k)?\nAnswer: -16*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5344010759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 77339*j - 77342*j + 2*x - 37, -4*x = -3*j - 59 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 5*a = -1170. Let o be (a\/(-6))\/(-3*(-5)\/(-220)). Calculate the greatest common divisor of 26 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*t + 5*t - 15. Let r = t + 15. Suppose 0 = -2*p + r + 116. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/47, -0.3, 40\/29, 0.4?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 - c**2 + 2*c + 2. Let v be x(-2). What is the third derivative of -4*m**2 - 2*m**2 + m**4 + m**2 + m**v wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7185 + -7185. What is the nearest to 13\/5 in 10, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 55*i**4 + 340*i**3 + 60*i**2.\nAnswer: 5*i**2*(i + 6)*(11*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 2 x when three letters picked without replacement from xaasaxxx?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -21*r + 1453. Calculate the remainder when 1787 is divided by a(68).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in twenty-one fifths of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 8609874 (base 10) to base 3\nAnswer: 121012102112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21, 26, 31?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -126, -531, -1218, -2187?\nAnswer: -3438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gmgmmgggy. What is prob of sequence ymm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8295 bigger than 3286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 - 4*w + 4. Let a(y) = -6*y**2 + 21*y - 21. Let c(n) = -3*n**2 + n + 2. Let u be c(-1). Let h be u\/(-2) - (0 + 5). Determine h*a(j) - 21*r(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 107621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7820*j - 10006375 = -7845*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k\/(k*k\/k**3*k))\/k*k)\/(k\/(k*k\/k**14*k)))\/((k*k*k**(11\/3))\/k*k**10) assuming k is positive.\nAnswer: k**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35340.\nAnswer: 2, 3, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*m**3*r**5 - 752532*m**3*r**2 + 2*m**3 + m**2*r**2 - 271843*r**5 wrt r?\nAnswer: 660*m**3*r**2 - 16310580*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 2\/333, -2, 2?\nAnswer: 2\/333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1619486 greater than 1619415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k - 2*k - 2*k + 4*k**2 - 5*k**2 to h*k + w*k**2 + a and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of 5*h**4\/2 - 2*h**3\/3 + h**2\/2 + h - 3. Let w be g(1). Let n be (-57)\/(-15) - (-2)\/w. Solve -6 - 2 = -n*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -793, -1565, -2335, -3103, -3869, -4633, -5395?\n\"Answer: f**2 - 775*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -l**3\/5 - 67*l**2\/5 - 314*l\/5 - 248\/5 = 0?\nAnswer: -62, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -31 + 30. Let n = -0.22 - -0.52. Which is the fourth smallest value?  (a) n  (b) -11  (c) -0.2  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 229690 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -357898 divided by -149.\nAnswer: 2402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 2*k + 2 = -14, -5*k - 25 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/3)\/(t*t*t\/t**(-3\/13)*t*t))\/(t**(-5)\/t)**(-11) assuming t is positive.\nAnswer: t**(-2765\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.18 - 0.07. Let g = x - 0.01. Let z = -7\/234 - 5\/26. Which is the closest to g?  (a) 0.4  (b) 2  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of 53*u**5\/12 + 71*u**3\/3 + 3*u**2 - 32. Differentiate i(l) wrt l.\nAnswer: 530*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(704) + sqrt(704) + (sqrt(704) - (sqrt(704) + 2*sqrt(704))) - sqrt(704))*-3*-3)**2.\nAnswer: 1296*sqrt(11) + 57105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/(y**5\/y))\/y)\/y*y*y**3)\/y**45*((y*y**(2\/9))\/y**(-4))\/(y**(-3)\/y*y*y*y**1*y) assuming y is positive.\nAnswer: y**(-367\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*q**2 + 2*q**2 + q**2)*(-976*q - 1116*q + 2207*q - 6).\nAnswer: -345*q**3 + 18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -4. Let g be 0 + 0 - (4 - z). Which is greater: 2\/15 or g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - 6 - (-3 - 30)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ado. What is prob of sequence da?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 105.5 + -13.5. Let t = -83.8 + u. What is t rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -66 - -81. Let j be ((-40)\/(-3))\/(-4)*(-18)\/x. Solve -2*y - 5*a = -3, -4*y + 12 = -0*a + j*a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -89, -10, 69, 148, 227?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the second derivative of -3\/14*a**3 + 9\/140*a**5 + 3\/14*a**2 + 0 - 1\/28*a**4 + 2*a. Factor f(w).\nAnswer: 3*(w - 1)*(w + 1)*(3*w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20308503.\nAnswer: 3, 31, 218371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 70, 145, 202, 235, 238, 205, 130, 7?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 50, 212, 476, 836, 1286, 1820?\nAnswer: 2432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*(2 + 4\/(-8)). Suppose -7*b + t*b = -64. Suppose -2*o - 12 = -2*v, 2*o + 2*o = -4*v - b. Which is smaller: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 78 = 4*f, -3 = 4*w + 5. Suppose 7*y = 32 + f. Solve -3*k + 15 = -0*k, 0 = -4*h - 3*k + y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kzwlwlbwmwlmzww. Give prob of picking 1 l, 1 z, and 1 k.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jkjhhxkb. Give prob of picking 1 b and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand n**2 - 2*n**2 - n**2 + (2*n + 2*n - 2*n)*(3*n + 0*n - n) + (-n + n - n)*(-3*n - 10*n + 8*n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2803424.\nAnswer: 2, 13, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v + 1. Let z(j) = j**2 + 2*j + 3. Let o be z(-2). Let n be t(o). Let r be (2 - 2)\/(-3 + 1). Sort 3, r, n in decreasing order.\nAnswer: n, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 + h + 44. Let i be r(0). Suppose 2*n + 65 = 7*n + 5*y, 4*y + i = 4*n. Let w be 13*-6*(-4)\/n. Is 26 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u**3 + 1180*u**2 - 101888*u + 2736128 = 0.\nAnswer: 64, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of 1\/12*g**4 - 3*g**2 - 3\/2*g**3 + 8*g + 0. Let q be i(10). Solve 2*u - 2*z - 10 = 0, u + q*z + 0*z + 15 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 23 + 7 + 267*t - 75 - 50)*(3*t**4 - 4*t**4 + 3*t**4).\nAnswer: 534*t**5 - 180*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45133606 (base 7) to base 11.\nAnswer: 2229a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.2  (b) 29  (c) 40.8  (d) 4  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(160)*-3)\/sqrt(5).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of -g**6\/120 - g**5\/30 + g**4\/6 + 4*g**3\/3 - 20*g**2. Determine i, given that z(i) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, -1\/16, 192 in ascending order.\nAnswer: -14, -1\/16, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of 4*m**7\/21 - m**3 + 7*m. What is the second derivative of a(p) wrt p?\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 12447776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 136 = s. Let q = -64 - s. Is 3 a factor of (-2)\/10 + (-216)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.3 and 172939860?\nAnswer: 172939860.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-16)\/(-9) - 4\/(-18). Suppose 2*f = 0, -11 = -4*c - 4*f - 3. Factor -q*u**3 - 8*u**c - 16*u**5 - 2*u**2 + 7*u**3 + u**5 + 20*u**4.\nAnswer: -5*u**2*(u - 1)**2*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*h**2\/9 - 20662*h + 2045296\/9 = 0. Calculate h.\nAnswer: 11, 92968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 95 (base 12) in base 8?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22 + -22. Suppose -5*g + g + 592 = 0. Suppose b*a = -4*a + g. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 326564*-5.\nAnswer: -1632820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 274*m - 85*m - 137*m.\nAnswer: 52*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 + 12)\/5 + 3 + 2829995. Round k to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -118, -115, -112, -109, -106, -103?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**2 + 3*p - 2. Suppose c - 1 + 2 = -y, -5*c - 4*y - 4 = 0. Let m be d(c). What is the remainder when (m\/(-3))\/((-2)\/(-81)) is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -160 - 245 + 29 = 47*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l**3 - 7*l**2 + 2*l - 6. Let f(s) = 3*s**3 - 8*s**2 + 3*s - 7. Let a(r) = 3*f(r) - 4*v(r). Let o be (-1 - 0) + -1*2. What is a(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 6*v - 4. Let p be x(4). Let t be 11\/154 + (12\/420)\/((-4)\/290). Is 12 a factor of (p - 1) + 0 + -1 + t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-13)\/(-1) + (-5251)\/445)\/(17\/510)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.495 + 274?\nAnswer: 274.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 816719985 = 4*l, -7*l - 2*u + 204179990 = -6*l. What is l rounded to the nearest 1000000?\nAnswer: 204000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 26*h**2 + 2*h. Let x(r) = 19*r**2. What is t(x(o))?\nAnswer: 9386*o**4 + 38*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 40 = -u, -1328*u = -1324*u + 3*j - 75 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -134.009 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27419680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (306\/140)\/3 - 3\/7.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -186.9916 + 187. What is o rounded to 4 dps?\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -48*d - 136. Let b be u(-3). Solve b*a + 6 = -18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 17 - 12. Solve h*k - 9*k = 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -123\/2 + 61. Is -2\/5 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6648.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h - 6. What is a(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.16 minus 330?\nAnswer: -329.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9b (base 15) to base 10.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 367740298.\nAnswer: 2, 83, 2215303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 2  (c) 1  (d) 1533  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -45 - -51. What is the highest common factor of 66 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2832)\/12672 - 24\/(-576).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of -v**7\/525 + 19*v**6\/300 + 4*v**5\/3 + 36*v**4\/5 + 2141*v**2. Suppose r(z) = 0. What is z?\nAnswer: -4, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-42)\/((-18)\/6) - 5. Suppose 5*z + 4*o - d = 0, -5*z + o = -9*z + 16. What is the remainder when z is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 43251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -649*p + 5880 = -229*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of 5*p**4\/2 + p**3\/6 + 5*p**2\/2 + 5*p + 12. Let v(q) be the first derivative of f(q). Is v(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the first derivative of l**3\/3 - l**2 + 12*l + 3. Is u(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 121768*n + 13 = 121769*n, -3*j + 6*n = 9*j + 144 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b. Let f = -188 + 196. Let k(v) = -3*v + 2. Let d(w) = -118*w - 14. Let o(m) = f*k(m) + d(m). What is o(y(z))?\nAnswer: -142*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10 and 3070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(252))**2*3.\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2292.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 4*s + 2868, -4 + 0 = -4*s. Let w = 2135 + g. List the prime factors of w.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6911923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 - (-6 + -1)) + 0. Solve -4*t - 16 = -i*o, 3*t + 5 = 5*o - 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 28905 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 3570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 637 + -1934\/3. Calculate the common denominator of j and (86\/5)\/(14\/35).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, z: 2, t: 3, b: 1, v: 1, w: 5}. What is prob of picking 1 t and 1 v?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + 6 + 6 = 0. Suppose 4*y = -4*j - 16, v*y = -3*j - 19 + 7. Solve -5*m + 14 = -2*q, 2*q + 2*m = -y*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 3690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 181 - 157. Sort k, -0.1, -0.3, -4 in increasing order.\nAnswer: -4, -0.3, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -3*l - 5*y, 18 = 2*l + 2*l - y. What is the third derivative of -b**l + 2*b**4 + 93*b**2 - 80*b**2 - 2*b**4 wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1449 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 10:18 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4907581?\nAnswer: 7, 439, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -30183 - -114566. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1934854 is divided by 308.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + -1 + -1 + 35. Suppose 5*j = 2*n + h, -4*n = -4*j - 3*n + 26. Let b(g) = g + 4. Let t be b(-4). Solve t = r + 2 - j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2 - 1. Let v = 19 + -23. Let t(f) = -4 + 0 + 8 + 3*f**2 + f. Determine v*a(w) - t(w).\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(((-12)\/(-42))\/1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1847312 take away -26139?\nAnswer: 26138.8152688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4884 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16191 + 519 = -3*m. Let l = m - -44485\/8. What is the common denominator of l and -65\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3320?  (a) 0.1  (b) -3\/95  (c) 10  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of -m**4\/12 + m**3\/2 + 11*m**2. Let k = 9 - 6. Let h(f) = -2*f + 4. Calculate k*h(a) - 4*s(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/(-80) + (-11)\/30.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, l: 4}. What is prob of picking 2 a and 1 l?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4368531\/8426 - 5703\/11. Let b = s + -11511\/5362. Let i = b - -13\/7. Sort 0, -5, i in decreasing order.\nAnswer: 0, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand y + 2*y**4 - 4*y**4 + y + (-1 - y**2 + 1)*(1 - 1 + 2*y**2).\nAnswer: -4*y**4 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 - 7. Let r = -4.94 - l. Let w = r - -0.24. Which is the third biggest value?  (a) w  (b) -0.2  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 101*j**6 - 18*j**3 + 77*j**2 - 5*j - 1.\nAnswer: 12120*j**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 68 + -47. Suppose 4*g = v - 21, 2*v + j = 5*g + 60. Suppose -4*z + v - 5 = 0. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -189*i + 33*i = -75 - 237. Let c(g) be the second derivative of i*g - 1\/100*g**5 - 1\/20*g**4 - 1\/15*g**3 + 0 + 0*g**2. Solve c(j) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(-1\/11)*j**(-1\/7)*j)\/(j**(2\/7))**(-34))**5)**(-10\/13) assuming j is positive.\nAnswer: j**(-3400\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8946, 8918, 8872, 8808?\nAnswer: 8726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 - 16.2. What is the third smallest value in 1\/9, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11066?\nAnswer: 2, 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-19920)\/42 - (-2)\/7. Calculate the least common multiple of 10 and p\/(-12) + 2\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.035 + -0.535. Let m = 59\/57 - -15604\/399. Let x = -40 + m. Which is the biggest value?  (a) 1\/3  (b) x  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = 5*d - 35 + 20, 13*f - 17*f + 16 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 795441, 795470, 795499?\n\"Answer: 29*p + 795412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve u + 4*s + 21 = 0, 5*u - 4*s - 4 = 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + p = -3, -4*h - p - 4*p - 12 = 0. Let c be (4*1\/(-6))\/h. Let i = -1.5 + 2. What is the second biggest value in c, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/((4 + 93\/(-24))*2). Let v be (12\/o)\/(2*6\/(-8)). Suppose -v*q - 6*q = -2040. What are the prime factors of q?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 4*x**2 + 18*x + 41. Calculate u(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0272877*-9.\nAnswer: 0.2455893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + 9*y**2 + 10*y - 6. Let m be z(10). Let o(j) = 2*j**2 - 5*j**2 + 4*j**2 - 1 + 5*j - 6. Calculate o(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**3\/9 - 5048*g**2\/3 - 1105024*g - 1812549760\/9.\nAnswer: -4*(g + 388)**2*(g + 3010)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 21361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 2*u - 1 = 0, -2*u + 727 = 5*b. Let n be 79\/4 + 1\/4. Does 20 divide (-1 + 9)*b\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of 5*k**4\/4 - 1625*k**3\/3 + 66420*k**2 - 131220*k + 1431. Factor h(a).\nAnswer: 5*(a - 162)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 351 and 390.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 + 6*w**2 + 5*w + 7. Let x = -8 + 15. Determine p(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + 2. Let n = -1.972 - 0.028. Which is the second biggest value?  (a) n  (b) w  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q**3 + 31*q**2 - 91*q - 16. Determine p(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/7, 6, -0.09, -2\/15, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6807056 months in decades?\nAnswer: 0.01400588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31 - 0. What is the remainder when 66 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29 + 40. Suppose 3*z = -b - 15, -39 = 5*b + 3*z - 6*z. Let d = b + g. Solve 0 = -o + 1 - d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -22 - -25. Let j = 68 - 67. Which is the second biggest value?  (a) -5  (b) j  (c) o  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of -1\/6*b**3 + 148 - b**2 - 3\/2*b. Factor t(r).\nAnswer: -(r + 1)*(r + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.243773 and -0.4.\nAnswer: 0.0975092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10136631*i**4 - 10871653 wrt i?\nAnswer: -40546524*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 57, 5, 3, -5, 2 in decreasing order.\nAnswer: 57, 5, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + -7. Let s(n) = -n**2 + n + 1. Let r(c) = -3*c**2 + 2*c + 2. Let h(w) = b*s(w) + r(w). Let m(k) = -k**2. Determine m(h(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 5, q: 5}. Give prob of sequence qqx.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4b - -4?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = s + 4*x, x - 12 = 3*s - 0*x. Let i(r) = -6*r**2 + 2. Let v(a) = 1 + 7*a + 13*a - a**2 - 19*a. Let t(c) = -i(c) + 5*v(c). Give t(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of q**4\/30 + 18*q**3 + 3645*q**2 + 112*q. Determine m, given that b(m) = 0.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 2*x - 7, -3*v - 4*x + 0 - 1 = 0. Let w(l) = -l**2 + 4*l + 6. Let a be w(5). Suppose -v*f + 46 - a = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 31 + 6 - 81*l + 12.\nAnswer: -81*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.02?  (a) 7  (b) -79.5  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 371 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -150 (base 11) in base 13?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, 6, 199 in descending order.\nAnswer: 199, 6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 176*x - 201*x = -1024250. Round x to the nearest 1000.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 11:07 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -y + 31, 3*h - 5 = 2*h. Suppose z - 75 - y = 0. Let f = z + -50. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -109 - -123. Calculate the highest common factor of a and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 167041 and 3773.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3\/2 + 95559*r**2\/2 - 1141320852*r - 5707798810.\nAnswer: -(r - 47782)**2*(r + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + ((-120 - -34) + 28 - -33)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5808, -3\/2, 453?\nAnswer: 453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -332.1 + 332.2. Let t = 0.3 + -0.3. Let r = -15 + 57\/4. Which is the smallest value?  (a) f  (b) r  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 PM and 9:41 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 552827.33556 from 2744.\nAnswer: -550083.33556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 + 11.05. Let b = f + 0.95. Is -3.9 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 3*v**3 - 35*v**2 - 118*v + 993. What is a(10)?\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*s**4 - 4*s**4 - 10*s + 6*s**5 + 0*s wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147 = -0*n + 3*n. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -126*q + 102. What are the prime factors of g(-5)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {z: 3, b: 5, l: 1, j: 1, v: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.16  (b) 0.2  (c) -273  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 2 = -d, -4*d + 7*d - 10 = -2*q. Calculate the remainder when 5\/(55\/q) + (-390)\/(-33) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 267 and 142436757?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 162 and 918.\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21086\/130 + 1\/(-5) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*0*(-2)\/(-2). Let w(i) = -i**2 - 6*i. Let a be w(6). Let d = -218\/3 - a. What is the closest to -1\/4 in -1\/4, d, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gilililggliiilx. Give prob of picking 2 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-four fifths of a hour in minutes?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -19.5 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 54016 and 2048.\nAnswer: 432128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 10, -0.03, -2, -1\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 668 = -478*k + 992 + 1588. Let u = -7\/6 - -7\/2. Factor 5\/3*a + u*a**2 - 2 - 1\/3*a**k - 5\/3*a**3.\nAnswer: -(a - 1)**2*(a + 1)*(a + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dzy when three letters picked without replacement from dqqizyf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 394702?\nAnswer: 2, 7, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u**2 + 3*u**2 - 5*u**2 + (-u + u + u)*(0*u - u - u) - 3*u**2 - u**2 + 3*u**2)*(-2*u**3 + 12*u**2 - 12*u**2).\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*x + 5*x + 20. Let l be (-3)\/x + (-1)\/(-4). Solve -c = i + 6, 5 + l = 2*i - 4*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24.2 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/10*403 - (-3)\/(-6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 4491 - 113. Find the common denominator of i\/(-208) + (-26)\/169 and -11\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1027 + 1131. Calculate the remainder when m is divided by 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**3 + 4*r**3 - 3*r**3)*(7*r**2 - r**2 - 3*r**2) + 2*r**5 - 3*r**5 - 2*r**5.\nAnswer: 3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 + z. Let g(m) = -5*m**2 + 7*m + 2. Calculate g(f) - 4*o(f).\nAnswer: -f**2 + 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - t = -c + 13, -5*t = -25. Suppose c*h - h = 10. Solve -3*k + 5 = -h*g - 0, -g + 5*k + 1 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, a: 1, k: 2, p: 2}. What is prob of picking 1 z and 2 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 9*w**2 - 3*w - 3. Let i(s) = 42*s**2 - 384*s - 18. Determine -6*b(o) + i(o).\nAnswer: -12*o**2 - 366*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 140 = -6*a. Let x = 19 - a. Is x less than -3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 3275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*z**3 + 80*z - 80*z - 26*z**3 - 5*z**3 + 4*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 187 + -111. Calculate the highest common divisor of c and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28a1 (base 15) to base 8.\nAnswer: 20775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27.187 - 27.687. Let h be ((-2)\/20)\/(3\/(-24)). Which is the smallest value?  (a) 3\/5  (b) h  (c) p  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 AM and 2:07 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 - 1 - -1)*-5. Let i(h) = -5*h + 43. Let q(k) = -8*k + 71. Let a(x) = -10*i(x) + 6*q(x). Give a(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c**14\/c))\/(((c\/(c\/(((c*(c*c**(-33))\/c)\/c)\/c)))\/c)\/c))**(-23))**(15\/8) assuming c is positive.\nAnswer: c**(-1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5*h**2*x**4 + h**2*x**3 + 110*h**2 wrt x?\nAnswer: -20*h**2*x**3 + 3*h**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 2*w**2 + 9*w + 3. Let q be r(-4). Put q, -5, 0 in increasing order.\nAnswer: -5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-9)\/((63\/(-6))\/7). Is 4 a factor of 108\/14 + w\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -69 + 66. Let k be -1 - (1 + a + 1). What is q in 0*q**3 + 0*q + 3\/4*q**5 + 0 + k*q**2 + 3\/4*q**4 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -9*n. Let a(j) = -4*j**2 + 2. What is o(a(v))?\nAnswer: 36*v**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 17427 + 21?\nAnswer: 17450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 30457322*w**3 + 5*w**2 + 62032769.\nAnswer: 91371966*w**2 + 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 2 = -5*c - 5*k, 3*c + 2*k = 2. Suppose c = -i - 3*j + 39, 4*i = -i + 4*j + 252. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.13 - -6.87. Let p = k + -4. What is the nearest to 0 in 1, -3\/7, p?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8 and 134.399.\nAnswer: -1075.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 22 = -17. Let k be ((4 + t)*1)\/((-1)\/2). Solve -k*d + 3 = 3*n, -2*n - 3*n + 5 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -1 + 436 + -427\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4 - 15\/9) + -3. Let g = 264.5 - 197. Let k = 68 - g. Which is the nearest to -2?  (a) k  (b) 1\/4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rdorrorrzdrrdddf. What is prob of picking 1 z, 1 r, and 1 d?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -5*w + 0*w**2 + 0 + w**2 + 5. Let l be m(5). Suppose -4*p = -0 - 12. Which is smaller: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -19 - (-2)\/((-6)\/(-3)). Let f = q + 37. Suppose -5 = h - f. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 3 v when four letters picked without replacement from jjjldsbvvvlvvvvdvv?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 y when three letters picked without replacement from nnggngyygaaanoyntny.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.67 + -0.33. Which is the nearest to u?  (a) 0  (b) -1\/10  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 + 1. Solve 0*i - 3*i = -p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3499023 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.7?  (a) 2  (b) 4  (c) -3  (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (265*p - 749*p + 322*p - p - 4 + 4 + (0 + 1 - 3)*(p - 2 + 2))*(3*p - 2*p + 0*p)*(1 - 1 + 2 + (4 - 4 - 2)*(4 - 4 - 2) - 1 + 6 - 3 - 2 + 7 - 4).\nAnswer: -1485*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 265468 and 142804?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 7 = -1. Suppose x - 350 = 5*o - 2*x, -5*x = 4*o + 243. Let f = o - -97. Calculate the remainder when f is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 154245.\nAnswer: 3, 5, 7, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2*r**3 - 2*r**2 - 1. Let i(f) = -9*f**3 - 8*f**2 + 43*f + 327. Let x(l) = -4*a(l) + i(l). Differentiate x(q) wrt q.\nAnswer: -3*q**2 + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 357 and 39984.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 44794.54 kilometers?\nAnswer: 44794540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -5  (c) 2209  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from brzzzbzzwzcb. What is prob of sequence zwrc?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*a - 3. Let y be a\/(-3) + 4\/6. Suppose 4*o + 10 = 2*u, -4*u = -9*u - 2*o - 11. Sort y, 3, u in decreasing order.\nAnswer: 3, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of -t**3\/6 + 4*t**2 - 12*t - 17. Let w(f) be the first derivative of c(f). What is w(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1351155?\nAnswer: 3, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = 5*m + 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -5*u + 1 + 2, 0 = -3*u - s + 6. Suppose u*w = -3*z + 123, 3*z - 160 = 4*w - 9. Does 22 divide 0 - -1 - (-4 - z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/61171 and 103\/33366.\nAnswer: 367026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 1\/5  (b) -14  (c) -4  (d) 489  (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + (5 + -22 - 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*q**2\/5 - 94798*q\/5 - 853344\/5 = 0. What is q?\nAnswer: -9, 47408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 15 = -4*y + 150, -5*y - 99 = -3*g. Calculate the least common multiple of g and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fwzzwzffwww. What is prob of sequence zfw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, 2, 1 in descending order.\nAnswer: 19, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27 or -4?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8\/7?  (a) -2  (b) 261\/5  (c) 5  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 31165329 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 211*z**2 - 231*z - 1 + 147*z**2 + 74*z + 79*z + 79*z.\nAnswer: 358*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -310*l - 2718. What is the least common multiple of a(-9) and 702?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2*a**3 + 59*a**2 + 21*a + 185. Determine d(30).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -184*a**3 + 41*a + 229*a**3 - 41*a - 1 + 20*a**2 - 9*a**2 to the form d + m*a + y*a**2 + t*a**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -166*k - 120645 = -187*k + 47418. List the prime factors of k.\nAnswer: 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - d - 2 = 0, -3*q + 2*d + 19 = -8*q. Suppose 13*w + w + 126 = 0. What is the closest to w in 2\/15, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-37)\/(-8) + 24\/64?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 3, -11, -4, -2\/11, 0.381?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2893755 - 21.6.\nAnswer: -2893776.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -5. Suppose t - 2*r + 27 = 18, -4*t - r + 9 = 0. Calculate the highest common factor of t and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, y: 15}. What is prob of picking 2 y and 1 e?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 33\/4000462 and 107\/14.\nAnswer: 28003234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 2*g = 0. Let v(i) be the third derivative of -i**6\/120 - i**5\/30 - i**4\/8 - i**3\/3 + 3*i**2. Let n be v(-2). Solve 3*r + n + 2 = g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1077*k**4 + 14*k*r**2 + 6*r**2 + 11452*r with respect to k.\nAnswer: -4308*k**3 + 14*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -2*n + 30. Let q be o(-17). Suppose q + 216 = 5*j. Suppose c + 10 - j = 0. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 0*m - 26 = m, z - 3*m - 22 = 0. Suppose -12 = -0*p - 2*p. What is the least common multiple of p and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06295 minus 0.3?\nAnswer: -0.36295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 23 = 3*j, -2*k - 5*j = -3*k - 23. Suppose 0 = -h - k + 11. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12653 + 19197 = -14*p. Let b = 3724 + p. What are the prime factors of b?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -9*n**3 + 5. Suppose 4*o + 4*z + 0 = -4, 2*o - 4*z = 10. Let h(a) = 5. Let d(c) = -24. Let b(v) = d(v) + 5*h(v). Calculate o*k(p) - 5*b(p).\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 4*p + 32 = 0, 20 = 2*m - 2*p - p. Let o be (-18)\/15*-5 - m. Solve 4*k + 5*c = 3*k - 9, 0 = c + o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21242108 is divided by 6908.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21738)\/(-231872)*(-16)\/3*116\/10?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 162698*t**5 - 5*t**4 + 2*t**2 + 48*t + 76213 wrt t.\nAnswer: 3253960*t**3 - 60*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 2\/11, -2\/5, -12, -10\/177, -0.6, 3, 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiiw when four letters picked without replacement from {w: 1, i: 5, t: 4}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(2736) - ((-1 + sqrt(2736))**2 + -3 + sqrt(2736))).\nAnswer: -96*sqrt(19) + 10936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhbbbbbbhbbbbh. Give prob of sequence bb.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of 0 + 1\/3*y**3 + 0*y**2 - 1\/12*y**4 - 3*y. Solve a(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of -11*y**4\/4 - 12*y + 6. Let h(l) = 93*l. Give u(h(p)).\nAnswer: -285417*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1415033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 18150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/19, -0.9, -0.2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -85, -214, -387, -628, -961?\n\"Answer: -4*n**3 + 2*n**2 - 107*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 731 - -51. What is the greatest common divisor of 92 and z?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -35 - -60. Let c = 11 - k. Let z = 13.999975 + c. Round z to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6122, 13089, 20894, 29537, 39018, 49337?\nAnswer: 60494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(51)\/sqrt(3) + -2 - 1*sqrt(17)*4)*2.\nAnswer: -6*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 58042.36 rounded to the nearest one thousand?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 963593*m - 963593*m - 3*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 633 = -5*c - 198, n - 108 = -c. What is the highest common divisor of n and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 f when three letters picked without replacement from fffyqtoxyofq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 332435929?\nAnswer: 7, 47490847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the first derivative of -531*z**5\/5 + 73*z**2 - 724. Find the second derivative of u(c) wrt c.\nAnswer: -6372*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50421 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-75)\/(-100) + (-1)\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 855 + 62. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 288 + -217. Let l(r) = 73*r + 2*r**2 + a*r - 144*r. Let t(v) = 47*v**2. Determine l(t(i)).\nAnswer: 4418*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/18 and 39\/6470.\nAnswer: 58230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5 - -5) + (-6)\/2. Suppose 4*v = -9 - b. Let a = v + 0. Do -4 and a have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(96))\/sqrt(800))**2 + 0.\nAnswer: 27\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4653 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-5)\/(-2) + -2)*(124 + -114). Sort i, 0.2, -5, -511.\nAnswer: -511, -5, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y, 1 a, and 1 c when four letters picked without replacement from aqqaqyqcyqqecqqqrqq?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((-1 + sqrt(72) + 4)**2*2 - (-6*(-3 + sqrt(18) + sqrt(2)))**2*-2)*4 + 2).\nAnswer: -49832 + 26496*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - 1 - (12 - (26 - 1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 743*n**3 + 260*n**2 - n - 2*n - 4*n**2 + 408*n**2 + 5*n wrt n.\nAnswer: 4458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -97, 0, 3, 2 in decreasing order.\nAnswer: 3, 2, 0, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33173\/31 - 1070. What is the common denominator of -93\/4 and q?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the second derivative of -51*g**6\/5 + 49*g**3\/6 - 17*g**2\/2 + 89*g. Find the second derivative of d(w) wrt w.\nAnswer: -3672*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -31*z**3. Let s(t) = 62*t**3. Determine 7*i(n) + 4*s(n).\nAnswer: 31*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2467.\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g**2 - 11*g - 4. Let w be z(-5). Does 4 divide (-3 - w)\/(-3*7\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4.7 and -0.3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11850 divided by -15.\nAnswer: -790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 6924, 6940, 6956, 6972, 6988, 7004?\n\"Answer: 16*n + 6908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 75 - 215 = 0. Let f = r + 20. What is the highest common factor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2046321 smaller than -2046321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100111001 - -1110000001011?\nAnswer: 1011011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -30 + 138*g - 138 + 161*g - 78*g - 73 wrt g.\nAnswer: 221","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 23\/253 - 34726\/(-11). What is the highest common divisor of 77 and n?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -612*b**2 - 444*b**2 + 290*b**2 - 4*b**2.\nAnswer: -770*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-12)\/14 + -19 + 20. Let d be 42\/10 - (-5)\/(-25). Suppose -d*i - 3*c - 21 = -2*i, i = 2*c + 7. Put g, 4\/5, i in decreasing order.\nAnswer: 4\/5, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 501 + 1898 - 9*d**3 - 2*d + 8*d**3 + d**2. Is o(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 3 = -5*a + 37, 2*p = -a + 17. Let t be (3\/4)\/((-3)\/(-144)). Calculate the highest common divisor of t and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 59*(-2)\/6*(-150)\/50. Let f = y - 54. What is the nearest to f in -0.3, 0.2, -2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59164 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: Let k(t) = -3*t - 72. Let x be k(-26). Suppose 4*j - z = 23, 9 = 3*j - 3*z - x. Calculate the greatest common divisor of 9 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29717000 rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -224*k**3 + 889*k**3 - 224*k**3 - 225*k**3 - 217*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7259350 and 592600.\nAnswer: 29037400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 - 13. Let g be 20\/(-15)*6\/(-10)*5. Which is the third biggest value?  (a) g  (b) 2\/7  (c) v  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 4*x**2 + 3*x - 3. Let d be h(2). Suppose 0 = t - d + 2. Let g = -6 + t. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -379 and 1800.\nAnswer: -682200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 11*i**2 - 1. Let j be n(1). Let x = j + -5. Solve 3 - 8 = x*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 - 16*p**2 - 13*p + 37. Let q be d(-15). What is the second smallest value in q, -3\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -549*g = -550*g + 18. Let q(i) = i**2 - i - 6. Let s be q(6). Differentiate g*w - 50 + 19 + s with respect to w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/10 + 1 + -1 - 31\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 116*u**4 - 17*u**2 + 61. Let l(f) = -39*f**4 + 6*f**2 - 20. Let a = 87 - 70. Let t(k) = a*l(k) + 6*h(k). Differentiate t(q) wrt q.\nAnswer: 132*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -215 - -241. Solve o = -13*q - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 376020142*l**4 - 206446663?\nAnswer: 1504080568*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 57562 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -41340547, -41340544, -41340541?\nAnswer: -41340538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 16 = 7*o - 2*o, -5*o - 3*z - 34 = 0. Suppose 3*q + 18 = x, 4*q + 14 = -4*x + 2*x. Let l be (-8)\/(-16) + 18\/4. Put l, x, o in descending order.\nAnswer: l, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.56  (b) 2\/19  (c) 1\/30  (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 - 99 - 148 = 36*n - 113 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -2, 52 in descending order.\nAnswer: 52, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 PM and 6:38 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 7, g: 4, r: 4}. What is prob of picking 2 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.0868 and 76.4793.\nAnswer: 76.5661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 783\nAnswer: 156.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13614116 divided by 2.\nAnswer: 6807058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 35b + -22b?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zuuuuzzzzu. What is prob of sequence uu?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 1\/3, 0.2, 28, 8\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s**2 + 2*s + s - s + (-196 + 113 - 31)*(-1 + 1 - s**2) to the form m*s**2 + z*s + n and give m.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -j*q**3 + 29*j*q*v**3 + q**3 + 305*v**3 wrt j?\nAnswer: -q**3 + 29*q*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5507 (base 15) to base 11.\nAnswer: -12590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.012 in -21\/23, 3, 2, -50\/9, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**3 - 28*n**2 - 75*n + 7. What is b(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 AM and 2:55 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 - -3)\/(-5) + 4. Suppose 4*r - 220 = k + 4*k, 16 = -s*k. What is the remainder when 99 is divided by r?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*v**3 + 9*v**2\/4 + 147*v\/4 + 9 = 0. What is v?\nAnswer: -3, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 5964, 11998, 18074, 24192, 30352, 36554, 42798?\n\"Answer: 21*z**2 + 5971*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*j**3*q + 12*j**3 + 7*j**2*q**2 - 10*j*q**2 - j with respect to q.\nAnswer: -2*j**3 + 14*j**2*q - 20*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-18))\/(5*7\/140).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6\/13 in 0, -4347, 5\/13?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 take away 113356.892270765?\nAnswer: -113352.892270765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6071*b - 188709 - 138641 - 10666 - 56599 for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (747\/(-6) - 4)*-2. Let w = u + -1895. Let g = -749 - w. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f be (189\/(-6))\/3*-2. Let b = f - -1. Let u = 22 - b. Solve 3*v + v + 8 = u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 54\/3*(0 - 1). Which is smaller: -17 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s - 0*s + 18. Let q = s - -10. What is the highest common factor of 64 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 3 = -v - 0*t, -4*t = 2*v - 24. Suppose -8 = -v*y - 3*j, 0*j = -3*j. Suppose 2*p = y*l + 20, 4*p + 5*l + 2 = -10. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 685*m - 772*m = 2349 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4323 - 2962. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 + 12 + 17 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 53190 and 540?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 - 108 = -17*y. Put 0.011, -2, y in descending order.\nAnswer: y, 0.011, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -30*(20\/250*-2)\/((-6)\/15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s + 2*s = -10. What are the prime factors of s\/3 + (-268)\/(-12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5*(-6)\/90*-15654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**2 - 3*c. Let n = 19 + -17. Let j(l) = 6*l**2 + 16*l - 1. Calculate n*j(o) + 11*y(o).\nAnswer: o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 217, 0 in ascending order.\nAnswer: -2, 0, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (-5 + 14 + 4 + -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -3. Let d(h) = -7. Let v(c) = -4*d(c) + 10*p(c). Let f = 17 - 20. Let n(o) = -o - 1. Let b(y) = f*n(y) + 2*v(y). Give b(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -3*g - g - 8, 0 = 2*g + 2*m - 14. Suppose g*l + v - 4*v = -6, -l + 3*v + 6 = 0. Is 6 a factor of (2 + l\/4)*20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 - 2*x**2 + x - 4. Suppose -15 = -5*z + 5. Let v(b) = b**2 - 3*b + 1. Let q be v(z). Suppose 5*h = q + 10. Give c(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*m**4*v**3 + 17501*m**4 - 2*m**2*v**2 + m**2 + m*v**3 + 704*v wrt m.\nAnswer: 72*m*v**3 + 420024*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -52234+621891240\nAnswer: 621839006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -824 smaller than -844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 740*a = -739*a + 2, -2*t - 2*a = 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 9*u + 42. Is m(7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17?  (a) 2  (b) 5  (c) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*j - 13 = -3*o + 11*j, 5*j - 12 = -2*o. Calculate the least common multiple of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, w: 2, y: 3, f: 4, e: 2}. Give prob of picking 1 f and 1 w.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4897 + 4902. Let q(g) = -g**3 + 32*g**2 - 2*g. Let n(l) = -l**3 + 48*l**2 - 3*l. Determine y*n(v) - 7*q(v).\nAnswer: 2*v**3 + 16*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + q + 1 = 0, -t + 5*q + 5 + 0 = 0. Let j be t + 2 + (-4 - -4). Solve 2*l + 0 = j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 2*n - n - 8 = 0, 3*m + 3*n = 0. Let i = 0.1 - 0.1. Let h = i + 3. What is the third smallest value in -3\/2, h, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g**4 - 98*g**3 - 8*g**2 - 5607*g?\nAnswer: 24*g**2 - 588*g - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 PM and 7:19 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1053 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 (base 13) in base 12?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 175560.1 kilometers?\nAnswer: 175560100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) -31  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1395 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/(-8) - 336475\/(-100) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 324758 is divided by 108200.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -580.655129 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mzmmmmmmzzm. What is prob of sequence zmzm?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b**3 + 4*b - 4*b + (-1 + 1 - b**2)*(2*b + 2*b + 2*b) + 6*b - 6*b - 6*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 386681 is divided by 96647.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 245535000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 + 43*j**2 + 37*j - 210. Let h be k(-42). Solve 2*a + 19 = -5*t, h*a = 2*a - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) -4  (c) 112\/31  (d) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/390 and -173\/80808.\nAnswer: 404040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8928318 or 17856633\/2?\nAnswer: 8928318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes after 11:34 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 153*s**2 + 9463 - 9463.\nAnswer: 153*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 8*i**3 + 7*i - 7. Let r(g) = 7*g**3 + 6*g - 6. Give 6*n(h) - 7*r(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28, 5, -88, -287, -628, -1147, -1880?\nAnswer: -2863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 42139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*r + 4*r + 7*r + 5*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1458) + sqrt(1458)*-2)\/sqrt(9) + (sqrt(2) + sqrt(2) + sqrt(4)\/sqrt(2)*5)**2 + -1.\nAnswer: -9*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/5*(-40)\/(-3). Let i = p - 3. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -531, -533, -533, -531, -527, -521, -513?\n\"Answer: o**2 - 5*o - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -52\/123 - 10\/41. Which is smaller: -1\/17 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -445820.1 + 445820. Let k = -1 - -1.2. Let z = -0.4 + -1. Put g, z, k in increasing order.\nAnswer: z, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0.3, -0.3, 0.4, -795.3, 3\/8 in increasing order.\nAnswer: -795.3, -0.3, 0.3, 3\/8, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -11 + -2 + 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 5:58 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes after 4:17 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 592088 or 592086?\nAnswer: 592088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3 + 3)\/1 - (0 - 26). Calculate the greatest common factor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (75\/(18900\/144))\/((-68)\/14)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 25, 0 = s - 7*u + 4*u + 231. Let r = -76 - s. Let l = 52 + -32. Calculate the greatest common divisor of l and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, o: 1, u: 2, y: 1, p: 2, v: 1}. Give prob of sequence vvvy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (2 - 39\/12)\/(6\/(-1512)) and 27.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and 0.089322.\nAnswer: 0.0178644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 71871706 to the nearest integer?\nAnswer: 8478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5\/8 + -81\/104. Let k = -0.03 - -0.13. Let t = -35 + 139\/4. What is the nearest to 2\/5 in q, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-1894)\/(-6) + (-5)\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 6 = 0, 0*v - v + 3*s - 2219 = 0. Which is smaller: 1\/2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.04 + 0.04. Let l = 2.2 + f. Let y = 0.2 + l. Which is the nearest to -2\/9?  (a) y  (b) 4  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)\/(sqrt(8)\/sqrt(4)) + (sqrt(3400) - (sqrt(3400) + -1*sqrt(3400))))\/((sqrt(36)*1)\/(sqrt(8)\/(sqrt(12)\/sqrt(3)))) + 2.\nAnswer: 2 + 11*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -8622*o - 8626. Determine a(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.16 + -2.84. What is the closest to t in -0.1, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -845*q + 941*q - 2844 = -732 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 116804568 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18 - 1) + (47 - 64) - -11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10100110111 - 11101111?\nAnswer: 10001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -79*v - 7. Let t(o) = 40*o + 3. Let b(z) = 3*i(z) + 7*t(z). Let l(k) = 9*k**2. Give l(b(d)).\nAnswer: 16641*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 0 - -9 - (39 + (8 - 42))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(48)\/sqrt(4) + sqrt(12)))\/(sqrt(4) - (sqrt(4) - (sqrt(24) + (sqrt(24)*1 - sqrt(24) - sqrt(24) - sqrt(24)))\/sqrt(6))).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/28)\/(8 + -11)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3571082100?\nAnswer: 2, 3, 5, 103, 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*j + 9*j + 3. Is 12 a factor of j\/((-80)\/78 - (2 + -3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -789206204 - -789205477.999619. Let b = p - -726. What is b rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -1537*f**5 + 3217428*f + 160*f**4 - 3694084 + 332*f**4 + 22568*f**3 + 453592*f**2 + 1541*f**5 = 0?\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4647 divided by 5888.\nAnswer: 4647\/5888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -175*f + 172*f + 672 = 0. Let o = 5 - 26. Let w be o\/(0 + (-3)\/4). What is the highest common factor of f and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15638 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 135 divide 3375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, -3, 2, 1, -441, -1, 7 in decreasing order.\nAnswer: 20, 7, 2, 1, -1, -3, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000388865 rounded to seven decimal places?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -96, -178, -260, -342, -424?\n\"Answer: -82*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 + 24 = 81*o. Calculate the remainder when 38 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1962 = 4*z - 5962. Round z to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 47*l - 51 - 372. Suppose 0 = -6*o + l*o - 3489. List the prime factors of o.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*z**2 + 0*z**2 + 5*z**2)*(-z - 5*z - 2*z) + 3*z**3 - 4*z**3 + 3*z**3 to q*z**3 + u + m*z**2 + i*z and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**2 - 11*o + 11. Calculate the lowest common multiple of t(-10) and 1386\/14 + -12 + -15.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/2*(28 + -7)\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x + 2397159620 - 2397159620.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22503651 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.6 in -2\/7, 2, -3, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from {b: 2, r: 6, d: 2, p: 1, s: 1, e: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = -a, a - 5*a - 36 = -2*v + 55 - 55 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 412 divided by 138?\nAnswer: 206\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qpfgfvqp. Give prob of sequence qfv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-315)\/(-12))\/(0 - (-12)\/32). Solve k - 74 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 5*j - 12. Let i(u) = 2*u + 36. Let n be i(-12). Let y be h(n). What is the highest common divisor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -144 + 82. Let j = -36 - b. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 114*m*y**4 + 338*m*y**2 + 400*m - y**5 + y + 148 wrt y.\nAnswer: 1368*m*y**2 + 676*m - 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 61*x - 6. Give n(1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9926 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**3 + 4*z**2 - 3*z + 1. Let m be b(3). Let t be (-3)\/m - (-1 - -4)\/(-1). Suppose t = -p + 5*k + 307, 1438 = 4*p - 5*k + 180. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6663 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -356464 + -0.06830731.\nAnswer: -356464.06830731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*t + 87 = 33. Suppose 0 + 2*c + 2\/3*c**t = 0. What is c?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-3) + (-772)\/3)*-6. Let x be (-2)\/(-4) + 0 - 750\/i. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 58\/11 - 387\/88. Calculate the common denominator of p and ((-2)\/(-42))\/((-13)\/(-3939)) + -9.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4347467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of x**4\/4 + 3*x**3 + 7*x**2\/2 + 8*x + 679. Determine s(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*s, -4*s + 5 = 2*y - 5. Let v be (3 - y) + 4\/2. Suppose 2*r + 5 + 5 = 5*t, -14 = -t - v*r. Put t, -4, 3 in descending order.\nAnswer: t, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.3, 2\/5, -12\/13, 2\/11?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/5)\/((-30)\/25)*26\/91?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6*(-1)\/2)\/(-1). What is the derivative of v*k**2 - 53 - 15*k**2 + 41 wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4864 - 4713. Calculate the remainder when b is divided by 73.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o. Let h be s(2). Is (1 - 35\/(-2))*h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 47 - -84. Let b(y) = y**3 - 139*y**2 - 5273*y - 60. What is the remainder when a is divided by b(-31)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.66053 and 8.966?\nAnswer: 8.30547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20.997 + 0.003. Let u = -5.69 - -8.94. Let x = -3.15 + u. Put -3, j, x in ascending order.\nAnswer: -3, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7427.617 millennia in centuries?\nAnswer: 74276.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3739?\nAnswer: 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*x + 8 = 0. Suppose 0*v - 4*v + 7 = -3*a, 0 = x*v + 2*a. Solve 0 = 5*i + 7*t - 3*t + 8, t = -i - v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**4 + x - x)*(4 - 2*x + x - 3).\nAnswer: -2*x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 109861031*f**4 - 465762936 with respect to f.\nAnswer: 439444124*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64442?\nAnswer: 2, 7, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (-10 - -5) - (-3 - -3)) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -32*g**2 + 7*g. Let y(m) be the third derivative of -11*m**5\/20 + m**4\/4 + 8227*m**2. What is 6*p(z) - 7*y(z)?\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 90 = 5*q - 4*k, 3*q = 4*k + 185. Let c be (-8568)\/(-9996) - (-372)\/7. Is c greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48158.\nAnswer: 2, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0535 + -2.9465. Which is the second smallest value?  (a) -5  (b) t  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kgvv when four letters picked without replacement from {b: 1, k: 2, v: 4, y: 1, g: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21 - -100220?\nAnswer: 100133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 418*i**2 + 366*i**2 - 781*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5.97 + 5.77. What is the closest to -1\/16 in i, 5, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -6 - 6 - (-8 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33, 34, 35, 36, 37?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 + 6*z**2 - 2*z - 2. Suppose g - 2*g + 5 = 0. Give o(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/17 in -4\/3, -4, -6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 3*d**3 + 4*d**2. Let y(n) = -8*n**3 + 51*n**2 - 1656*n. Let u(s) = 3*q(s) - y(s). What is the second derivative of u(x) wrt x?\nAnswer: 102*x - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*d**4 - 3*d**3 - 3*d**4 + 0*d - d in the form u*d**3 + r + m*d + w*d**4 + s*d**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (36\/120)\/((-14)\/(-70))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a factor of 1044847124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 5 + 3)*(9*l - 5*l + 5*l) - 21*l + 37*l + 4*l - 3*l - 1 + 1 to the form u*l + c and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 - (0 - 2)) + 23. Let v = -6 + m. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -4*z + 2*r, 4*r - 3 + 60 = 3*z. Calculate the smallest common multiple of 6 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8930 - -28023. List the prime factors of c.\nAnswer: 7, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 6702930 and 437351.\nAnswer: 7140281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 2 + 2)*(-1296*b + 1296*b - 3827*b**4) to n*b + d*b**4 + y + k*b**3 + c*b**2 and give d.\nAnswer: 3827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -64*r**2 + 351*r + 17. Determine l(6).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 285, 1043, 2283, 3987, 6137, 8715, 11703?\n\"Answer: -3*r**3 + 259*r**2 + 2*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -2*d - 28, 28 = -6*r + 9*r - 4*d. Solve -r*w - 9 - 7 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -446, -15, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -2  (b) 7  (c) 1046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3007\/(-1261) + (2 + -1 - (-35 - -34)).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 9 - ((-5208)\/(-564) - 16)\/(4\/(80\/(-15)))\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/(q*q**(-2\/3))))**(-48)\/(q**(-1\/4)\/q)**(31\/2))\/(q**4\/((q\/(q\/q**(-3\/11)))\/q*q))**14 assuming q is positive.\nAnswer: q**(-4967\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*l**5\/15 + 424*l**4\/15 - 4852*l**3\/5 + 8232*l**2 - 7290*l = 0. What is l?\nAnswer: -243, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*o + 2*o + 3*o)*(-3 + 3 - o)*(-5 + 4 + 2)*(-363*o + 271*o + 469*o) to the form g*o**2 + j + v*o + a*o**3 and give a.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-644)\/23*1\/(-4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18048, -18403, -18996, -19827, -20896, -22203?\nAnswer: -23748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/7 - 48629*y - 680802\/7.\nAnswer: -(y + 2)*(y + 340401)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 787.88.\nAnswer: -3939.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*i - 67 = 503. Calculate the remainder when (-158)\/(-3) - (-19)\/i is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 112*h**2 + 2*h - 24. Let g(u) = 19*u. Calculate g(x(v)).\nAnswer: 2128*v**2 + 38*v - 456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2f02f5 (base 16) in base 14?\nAnswer: 5a2b1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1*(3 + -2 + -2). Let a be 2\/(-8) + f\/4. Suppose a = -5*v + 5*k + 170, 7*k - 3*k - 102 = -3*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 45 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - a + 12. Let v = 3 - a. Solve -4 = -v*q - 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 1099 - 1746. Suppose 2319 = 10*g + d. Calculate the greatest common factor of g and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2619, 2632, 2659, 2706, 2779, 2884?\n\"Answer: o**3 + o**2 + 3*o + 2614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1098071 and 3120?\nAnswer: 263537040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -6*q - 258. Give k(-28).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 + 22*p**2 + 51*p - 65. Determine l(24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 41 + -39. Solve -3*g - 15 = d*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0492 + 228709878.3?\nAnswer: 228709878.3492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -2*q**2 - 160*q + 5780. Determine x(-107).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -54251879\/240 + 226049. Find the common denominator of 53\/576 and m.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -2*j + 3*j - 9, 6 = 3*r + 4*j. Let p be 0 - (3 - -3)\/r. What is the third derivative of -9*a**3 + 2*a**4 - a**2 + 9*a**p wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -1, -0.3, 6\/5, -3273?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {s: 1, p: 4, a: 2, f: 10}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j - 1. Let f be g(3). Let k(c) = 2*c - 2 - 3 + 0*c + 0. Is 2 a factor of k(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -23855 or 2767\/3?\nAnswer: 2767\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r**3\/2 + 1903*r**2\/2 + 595575*r\/2 - 1803879\/2 = 0. Calculate r.\nAnswer: -1507, -399, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -654, 0, 5, 1, -5 in descending order.\nAnswer: 5, 1, 0, -5, -654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 876 by 3.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 104 = -2*z - 969, -2*d + 2*z = -346. Let v = d - -141. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2\/525 + -73\/525. Let k = -6.5 + 7. What is the third biggest value in k, f, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 3. Suppose u = -9*j + 7*j + 16. Suppose 2*t - 4 = 3*g + g, 4*t = 4*g + j. Solve -5*m + t*m = 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 805416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 6\/25 of a minute?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -30\/13, -1, 1.\nAnswer: -30\/13, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c - o = 16, -8 = 2*c - 6*o + 3*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.4 - -0.3. Let f(t) = -5*t**2 + 3*t - 3. Let w be f(1). Which is the nearest to 0.1?  (a) -3  (b) w  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 2*r - r - 15, -5*j = -15. Solve 13*u = r*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 + 30*j + 111. Suppose 94 = -4*o - 5*y, -3*o = o + y + 102. Let a be d(o). Solve 0 = a*t + 11 + 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*b**3 - 6*b**3 - 19*b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 450044551 - 0?\nAnswer: 450044551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12724533977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9a - 18?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a second in milliseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from lwmcc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -175554797*w**3 + 127633583*w**2 wrt w.\nAnswer: -1053328782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 + z + 4. Let f be t(-4). Let g = -8 + f. Let w be 117599997\/(-12) - 2\/g. What is w rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 58759 and 4782281.\nAnswer: 320412827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of 3*y**6\/40 - 7*y**5\/60 + y**4\/6 + y**3\/6 + 82*y**2. Let u(z) = -3*z**3 + 2*z**2 - z. What is 7*u(s) + 2*w(s)?\nAnswer: -3*s**3 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 51 + -44. Suppose -20 = 2*v - k*v. Let d be v\/((-80)\/25) + (-1)\/(-4). What is the biggest value in 6, -2\/17, d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(28)\/sqrt(4) - 5*sqrt(7)*1)**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0869 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 543*y**3 - 1108*y**3 + 553*y**3.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7633388 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -6230978, -6230983, -6230990, -6230999, -6231010?\n\"Answer: -f**2 - 2*f - 6230975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208*t + 1035 = 231*t. What is the remainder when 240 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2955 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12?  (a) -3.86  (b) 545  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 59 = 17. Calculate the greatest common factor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 5*h**2 - 20*h + 81. Determine i(5).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -4*g + 2*g - 65*g**2 - g**3 + 71*g**2. Let f be a(5). What is the tens digit of (-4)\/(-5) + 3528\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -4*j + 7. Let m(x) = -7*x + 13. Let b(k) = -11*h(k) + 6*m(k). Calculate b(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10\/331 - 792\/4303. What is the closest to -1\/2 in -0.5, o, 0.2, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 165 and 4803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 419397 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3959 + 3959.02. What is the nearest to u in 2, -5, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (61\/((-5124)\/72))\/(3\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -1652*y**3 - 5*y**2 + 5*y - 18. Let q be b(6). What is q rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 8 = -4*x. Suppose 0 = -2*g + 32 - x. Calculate the smallest common multiple of g and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1)*(2*p**3 - 4*p**3 + 3*p**3) + (-3*p + 3*p - 2*p)*(-5*p + 5*p - p**2) + (-2*p**2 - p**2 + 4*p**2)*(-p - 4*p + 4*p) + p**2 - p**2 + 2*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -3. Let s = 41147 - 41145. Solve 3*g + o = -m*o, -s*o = 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x + 5 - 3*x - x + 4*x. Let w be f(0). Solve 8*c + 41 = 4*c - 5*g, w = -g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -578 or -32\/11?\nAnswer: -578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4069)\/626)\/((-8)\/64)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 289*p**2*s**3 + 2*p**2*s + 63*p*s**3 - 5*p*s + 615*s**2 - 3*s wrt s?\nAnswer: 1734*p**2 + 378*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2058 + 2060. Let v = -13 - -9. List the prime factors of (3\/(-6))\/(m*v\/3440).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + o - 25 = -9*w + 2*w, -6*w = 6*w - 2*o + o - 39 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 7*v + 4*v - 5*v - 5*v. Let x(g) = 12*g - 5. Calculate x(j(k)).\nAnswer: 12*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -4 - (-7 - (2 + -8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -5020, -10039, -15062, -20089?\n\"Answer: -2*w**2 - 5013*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-3)\/p**(3\/7))\/(p\/(p\/((p*p**3)\/p))*p**(-3)) assuming p is positive.\nAnswer: p**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 smaller than 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y + 9 = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6115*-0.4.\nAnswer: -2446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 24505 - 1100?\nAnswer: 23405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*d + 295*d - 13002 = -71*d for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.285 * -0.56833.\nAnswer: 0.16197405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.697 times -4771?\nAnswer: 17638.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 1954*y + 25407. Calculate u(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + 2020011?\nAnswer: 2020003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 2*t = -1, -2*q + 0*t + 8 = -3*t. What is the remainder when 28 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -6*m - 2. Give h(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3942844 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*w**5 + 2*w**5 - 6*w**5 + (-7*w**4 + 2*w**4 + 2*w**4)*(-w - 3 + 3) + w**5 + 0*w**5 + 2*w**5.\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*v - 1540 = 31*v - 2032. Solve 0 = 5*o - 20, v = -104*j + 106*j + 5*o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1661468 to the power of 1\/2, to the nearest integer?\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3007 is divided by 339.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p + 5*f, -127 + 106 = -3*p + 4*f. Let r(n) be the first derivative of 0*n**p - 1\/8*n**4 + 14 + 1\/24*n**6 + 0*n + 1\/8*n**2 + 0*n**5. Factor r(x).\nAnswer: x*(x - 1)**2*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41 divided by -23818.\nAnswer: -41\/23818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (((-228)\/9)\/(3\/((-18)\/10)))\/(475524\/4160835)\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 46 - (26 + 22 + -16).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 19*b + 750. Determine j(-33).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(-6) - (-2)\/(-4). Sort -5, -13, f in ascending order.\nAnswer: -13, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, -2, -2\/5, 0.4, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*j - 3*i, -j - 5*i - 2 = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -99253 - -69774. Let z = 17395 + c. What is the tens digit of (-2)\/(-18) - z\/108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 100?  (a) -5  (b) -2\/13  (c) -2  (d) -13\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 472283 (base 12) to base 4.\nAnswer: 10113120003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j + 2*j + 5. Let v(x) = -x - 1. Let n be v(j). Suppose n = u - 6*u + 70. What is the remainder when 25 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 24971240 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -2*g**3 + 38*g**2 + 2*g - 17. Let x be c(19). Suppose 3*h + 3*b = x, -8*b + 6*b = -2*h + 22. Sort -3, 7, h.\nAnswer: -3, 7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of q**5\/50 - 3*q**4\/5 + 11*q**3\/5 - 16*q**2\/5 + 33*q. Suppose u(b) = 0. What is b?\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1714518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1182 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -69 + 90. Let m(n) = -2*n**2 + 4*n + 1. Let x be m(3). Calculate the remainder when (-303)\/x - (-6)\/15 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*m**2 + 76 + 8*m - 76 wrt m?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p = -11*p + 20. Suppose -5*n - p*o = -7*n + 6, -4*o = 3*n - 19. Solve -2*b = -5*u + 2*u, -15 = -n*b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 11*w + 93. Let b(g) = -6*g - 47. Calculate -7*b(y) - 4*h(y).\nAnswer: -2*y - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -1378 + 1378 - m. Let y(f) = -2*f**2 - 68. Give g(y(x)).\nAnswer: 2*x**2 + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-24)\/132 - 156\/(-11). Let n = -11 + a. Suppose 0 = n*o - 7*o + 24. Solve g - o*s - 2 = -4*s, g + 2 = -2*s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y**2\/5 - 968*y\/5 + 58564\/5 = 0. What is y?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*n**2 + 4*n**2 - 3*n**4)*(-3 + 4 + 1) + 17 - 17 + 2*n**4 to b + y*n + f*n**2 + w*n**3 + p*n**4 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in four fifteenths of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.6024 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2001 - 10?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/3)\/h)**21\/((h*h**(-1\/3)*h)\/h*h\/(h*h**1)) assuming h is positive.\nAnswer: h**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 698, 2853, 6462, 11525, 18042, 26013, 35438?\nAnswer: 46317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200336.1 months to years.\nAnswer: 16694.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 4*u = 4176, -2*u - 2179 = -4*x + 1169. Calculate the lowest common multiple of x and 1050.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*((-3)\/(-149))\/((-12)\/(-2))*104\/(-52)?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1467 divided by 4?\nAnswer: -1467\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.0574 times -20\nAnswer: -1.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -1. Let b = -32 + s. What is the lowest common multiple of b\/(-2) - (10 - 12) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4922550 - -16254098. Let t = 7231548 - r. What is t rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 33*m**5\/5 + 439752*m**4\/5 + 1395685833*m**3\/5 - 461919639642*m**2\/5 + 7290765548220*m - 6612706998744\/5 = 0.\nAnswer: -6817, 2\/11, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*u + 128 = -10*u. Let f(k) = -4*k + 54. Let t be f(u). Put -4, t, 3, 2 in descending order.\nAnswer: 3, 2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 113*i**3 - 267*i**3 + 156*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-21) - 5) + 41 + -34?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/25572 and 107\/5934?\nAnswer: 25290708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -18103*l**3 - l**2 - 155*l - 40894486 with respect to l.\nAnswer: -54309*l**2 - 2*l - 155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.659517 micrograms?\nAnswer: 0.000659517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3, i: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, n: 7, w: 2, y: 4}. What is prob of sequence yy?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccce when four letters picked without replacement from {e: 2, c: 4, q: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 412 and 728.\nAnswer: 74984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 50 = 10*w. Suppose -w*p - 172 = -11*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2*m - 4)*(2 - 2 - 2)*(176*m**3 + 465*m**3 - 5296*m**3).\nAnswer: -18620*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39\/14 and 55\/76683656.\nAnswer: 76683656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -30*s - 3. Let g(x) = 34*x + 4. Let a(p) = -35*p - 4. Let c(n) = 4*a(n) + 5*g(n). Let k(y) = 4*c(y) + 5*r(y). Is k(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25956 + 37136. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 + 0)*(1 - 6 + 3)*(-y + 0*y - y)*(-1 + 1 + 2)*(-y + 0*y + 4*y).\nAnswer: 96*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*o - 49*o + 84 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 + 13*p**2 + 13*p + 21. Let b = -16 + 6. Is i(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i + 22*i = 10556. Is 29 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 2 p, and 1 u when four letters picked without replacement from pppuvppvpvuvqqvs?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from rriiimi.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 343069 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36, -54, -54, -36, 0, 54?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 12721*t - 47450. Determine n(4).\nAnswer: 3434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 45 + -43. Determine n so that n**3 + n**h - 2750*n - n**4 + 2749*n + 0*n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + 7 - 15 - (-1 - -12)) + -5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2740070 is divided by 7268?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1229.69 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -49, -5, -3, 1, -8, 5.\nAnswer: -49, -8, -5, -3, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 + 10*g**2 - 11*g + 5. Give x(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15 + -3. Calculate the lowest common multiple of ((-6)\/16*-2)\/((-30)\/(-880)) and y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-56 - -35) + (-1296)\/(-63).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2167.67 take away -40?\nAnswer: 2207.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of h**3\/3 + 7*h**2\/2 + 8*h - 6. Let x be -1 - 0 - (3 + 2). Let v be l(x). Solve 4*i - 2*i = -2*m, v*m - 5*i = -7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -92, 3, 4, -2, -4, -6 in decreasing order.\nAnswer: 4, 3, -2, -4, -6, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 21816361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((5 + (1 + sqrt(500) - sqrt(500)))**2 - sqrt(500)))*5 - (0 + sqrt(500)*3 + -1 + -4)**2.\nAnswer: -4345 + 250*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-42))\/(3912\/2282)*-62.\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 9*r - 2. Let p(y) = -8*y + 2. Let a(n) = 5*m(n) + 6*p(n). What is the derivative of a(z) wrt z?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 13\/6  (c) 1  (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 + (-18)\/15)*-5. Let b = 16 - j. Let p = b - 12. Calculate the highest common factor of p and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 544267092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xua when three letters picked without replacement from {m: 2, a: 8, h: 1, u: 3, l: 1, x: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 4 + 1)*(2*i**3 + 0*i**3 - i**3) + (i**2 - i**2 + 2*i**2)*(-4*i + 18 - 18) to k*i**2 + t*i**3 + a + s*i and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 17*q + 5. Let v(i) = 4*i + 1. Suppose 16 = -3*p + 25. Suppose 0 = 4*c - 4*x + 32, p*x - 23 = 3*c - x. Give c*v(g) + 2*j(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -311.1 + 332. Let o = 24.35 - i. What is o rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 4*k = 20, 0 = 4*j + 5*k - 77. Suppose 3*r + 10 = -4*a + r, 0 = 3*a - 4*r + j. Sort a, 1, -4 in descending order.\nAnswer: 1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 845585?\nAnswer: 5, 13, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 295727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -3*p**2 + 23*p - 35. Let w be a(5). Solve 0 = -y - 2*u, 3*u = -2*u + w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -13941*k - 34. Is i(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.7 in 0.1, -2850, 0.9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -e (base 16) in base 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 + 33\/4. What is the nearest to -2\/3 in -0.1, d, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20942 and 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b**5 - 1141056*b**4 + 12551452*b**3 - 44500416*b**2 + 51346530*b = 0. What is b?\nAnswer: 0, 3, 5, 570517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*a + 1 + 12*a - 1 + 9*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 514*k - 2. Let g be 6*(0 + 3) - 2. Let u be j(g). Suppose 17687 = 13*b - u. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 AM and 9:34 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -53, 4\/5, -9, -0.11 in increasing order.\nAnswer: -53, -9, -0.11, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -157 - -99. Let b = c + 44. Is (-31005)\/(-6) - (-7)\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2127 - -2159. Let z = 397 - 379. Calculate the least common multiple of z and x.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 - a**2 - 3*a + 4. Let k be r(-3). Let i = -10 - k. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29 - 14. Suppose -2*h - h + 5*i = k, 0 = -i + 3. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 55510.82 millimeters?\nAnswer: 0.05551082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 - 1 - (-10)\/1. Let r be (-27)\/2*16\/(-12). Calculate the greatest common divisor of k and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, o: 5, x: 3, j: 5}. What is prob of picking 1 x, 1 o, and 1 j?\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Express s**2 - 5*s**3 - 4*s**4 - s**4 + 366*s - 10*s**3 - 368*s + 0*s**2 in the form d*s**4 + z*s**3 + h*s**2 + m*s + n and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 0 - 7*i + 2)*(-2 + 0 - 3)*(40*i - 40*i - 13*i**3) in the form l*i**2 + p*i**3 + a + g*i + s*i**4 and give p.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -408 >= 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 - -13. Which is the nearest to 1\/4?  (a) h  (b) 10  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/7720 and 149\/11580?\nAnswer: 23160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.194851852 rounded to 2 dps?\nAnswer: -5.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2, 4, -1\/7, 265340?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 915*h**5 + 3*h**3 + 2*h + 43?\nAnswer: 18300*h**3 + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2+132426184.859\nAnswer: 132426186.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 + 14*a**2 - 17*a + 8. Let o be s(5). Solve -392*y = -o*y + 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 805 divided by 7?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 AM and 9:26 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 64 + -48. Find the third derivative of 5*f**2 + 683*f**3 + p*f**2 - 670*f**3 wrt f.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -2 + 6. Calculate the least common multiple of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**2 + 1. Let b be (-154)\/84 + (-1 - 1)*(1 - 2). Let a(r) be the second derivative of 1\/4*r**4 + 0 - b*r**3 - 24*r + 2*r**2. Determine a(j) - 2*y(j).\nAnswer: j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -3*q + 8*q. Suppose 2*j - 28 = q*j. Let y = 23 + j. What is the greatest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 1\/4 + 1\/4*z**3 - 1\/4*z**2 - 1\/4*z = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-679 - 9*j**2 + 680 + 39*j**2 + (2*j + 3*j - 2*j)*(0 + 0 - j))*(-2 - 2 + 6).\nAnswer: 54*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f + 3*f - 3*f)*(4 + 2*f**2 - 4) + 481*f**2 - 103*f**2 - 2794*f**3 - 378*f**2.\nAnswer: -2788*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 35 - 10. Suppose -5*w = k - z, -3 = w - 3*k + 8. Let t(b) = b**2 - 5*b + 6. What is t(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(1\/4))\/((h*h**4\/h)\/h))**(-2\/31) assuming h is positive.\nAnswer: h**(9\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 17*d**3 + 88*d**2 + 56*d + 8. Let f(v) = -33*v**3 - 175*v**2 - 98*v - 14. Calculate -4*f(r) - 7*w(r).\nAnswer: 13*r**3 + 84*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -582 + 582.1. What is the second smallest value in -1\/6, 0.2, -1\/5, -10, p?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24548 - 24529. Solve -o*l + 24*l + 10 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6.5 - -10.5. What is the nearest to 2\/17 in 6, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1109.40024 + 1108.4. Let j = -1 - f. Round j to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/103206 and -51\/164161.\nAnswer: 101451498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000032382 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 125\/16646 and 19\/22320?\nAnswer: 185769360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -0.04, -5 in descending order.\nAnswer: -0.04, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0750132966 to five decimal places.\nAnswer: 0.07501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 8. Suppose -x*w + 4 = -7*w. Let c(n) = -16*n. What is the tens digit of c(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -9*z - 1. Let k(d) = d - 1. Let g(f) = 2*k(f) + l(f). Differentiate g(i) with respect to i.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3562768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 32, 418, 1534, 3746, 7420, 12922?\n\"Answer: 61*q**3 - q**2 - 38*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 2) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 + 3*c**2 + 7*c - 3. Determine r(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3368*w + 1776 = 3416*w. Sort w, 4, -14.\nAnswer: -14, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2623, 9376, 20225, 35170, 54211, 77348, 104581?\n\"Answer: 2048*v**2 + 609*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -38 - (-16 - -4 - (-20 + 12)) - 4?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7\/(0\/4 + 0 + 1). Suppose v + 498 = o*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -311.3 + 311. Which is the closest to -20\/3?  (a) -6\/11  (b) u  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + 3 - (32 - 35)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 40104\/1105705 - 17\/515. Let h = v - -190243\/257640. Let n = h - 3\/40. Do n and -2\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w + 24*w - 300 + 145 = 0. Which is the third smallest value?  (a) -0.1  (b) -0.12  (c) w  (d) 7  (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000106392464 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3595944 and 6939.\nAnswer: 32363496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 + 7*w**2 + 5*w - 4. Let q be k(-6). Let a be (20\/6)\/(2*q\/(-12)). Suppose -17*c + 13*c - 3*h - 59 = 0, 3*h = -2*c - 37. Which is greater: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 - 7*u**2 - 6*u - 11. Let v be 4\/((-3)\/12*-2). Let o = -65601\/20614 + 1\/1874. Find the common denominator of o and m(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -146 - -140. What is the tens digit of ((-3627)\/18 + 5)*q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 8*c**2 - 4*c - 2. Suppose -141 = 10*d - 501. What is the remainder when y(-4) is divided by d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17\/(34\/(-4)))\/((-2)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 18 - 3 + 2*m**2 - 3*m**2. Is b(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r + 1. Suppose 5*n - 16 = -6. Let s be q(n). Suppose -4 - 44 = -s*a. What is the greatest common divisor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*3*sqrt(320))\/(sqrt(80)\/sqrt(392)).\nAnswer: -168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 187615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = 4*u - 48, -630*x + 627*x - 2*u = -32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -973, -1008, -247, 1706, 5247?\nAnswer: 10772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 38, 4, 0.2, 0, -5, 0.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 + g**2 - g - 1. Let y = -3 + 3. Let k be (-2 - 5\/(-2))*y. Calculate o(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2*(1 + (-5)\/2). Suppose 0 = s + k*s - 5*j - 68, 5*s - 90 = 5*j. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vnzllnp. What is prob of sequence vn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-7)\/14)\/(0 - 9\/(-18)). Let q(z) = -z**2 - z + 1. Let p(w) = w - 4. Determine o*p(n) - q(n).\nAnswer: n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*s**2 - 4*s**2 - 10*s + 8*s**2 + 7*s.\nAnswer: -44*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1220654 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 e, and 2 s when four letters picked without replacement from seyqy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 384737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 5, z: 11}. What is prob of picking 1 z and 1 b?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 47\/4 of a kilometer in meters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 13) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (t - 4*t + t)*(-5 + 5 + 2)*(0 + 2 - 4) - 271 + 281 - 11*t + 13*t to u*t + f and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (8 - 3 - 2 + (0 + 3 - 1)*(1 - 3 + 3) - 1 + 2 + 1)*(160*m - 28*m + 31*m) as l*m + h and give l.\nAnswer: 1141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/(-2)*80\/100. Let d(x) = 23*x - 2*x**n - 10*x - 13*x. Let i(o) = -9*o**2. Let b(p) = -4*p**2. Let k(q) = 5*b(q) - 3*i(q). Give d(k(t)).\nAnswer: -98*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 - -11. Suppose 0*i - 5*i = 0. Suppose i = -6*v + 4 + 14. Solve c*u - v*l + 25 = 0, 5*u - l = -5 - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15 + -17. Sort f, 3, 0.\nAnswer: f, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 613 and -176.34?\nAnswer: -108096.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**2 - 8038*c - 16152361.\nAnswer: -(c + 4019)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.9 in -1\/8, 4, 2\/1103, 0.02, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 358211.\nAnswer: 7, 73, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4 - 4)*(-3*y**4 + 2 + y**5 - y**5 - 2*y**5).\nAnswer: -6*y**5 - 9*y**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -141448 - -141449. Let g(t) = 2*t - 1. Let x be g(-2). Sort x, -1, r, -3.\nAnswer: x, -3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12056 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of 23 - 3*b**2 - 83 + 2*b**2 - 13. Let a(f) = 3*f + 18*f - f. What is s(a(q))?\nAnswer: -40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -1 + 5. Let f = b + -2. Suppose -9 = f*x - 71. What is x rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 374344183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 12) + 9 + (-15 - 6 - -6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = 3*w + 18, 3*h = -w - 4*w - 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 48*v**2 + 6*v - 8. Let c(m) = 49*m**2 + 5*m - 10. Suppose 0 = -6*n + 13 + 23. Let a(x) = n*c(x) - 5*l(x). What is the derivative of a(k) wrt k?\nAnswer: 108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 90 and 216?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -8, 27, 78, 139, 204, 267, 322?\n\"Answer: -o**3 + 14*o**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/21)\/c**(1\/2))\/(c**(-1\/10)\/c**(2\/7)) assuming c is positive.\nAnswer: c**(-2\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -4*d - 2. Let f be x(-2). Let s(p) = 16*p - 11. Let y be s(f). Suppose -4*v = -9*v + y. What is the remainder when 48 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*f**2*o**4 - 61*f**2*o**3 + 6*f**2 + 12*f wrt o.\nAnswer: 8*f**2*o**3 - 183*f**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*k - 4*k - 10*k in the form o + r*k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (62\/18)\/((-471)\/1413).\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 78 - 188. Let g = 7.21 - 107.81. Let j = t - g. What is j rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + p - 3 = -q, -2*q = -3*p - 4. Let x(i) = i**3 + 5*i**2 + 4*i - 1. Let h be x(-3). What is the highest common divisor of h and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 88*x**2 - 3*x - 39. Is q(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4 or 831\/238?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes before 1:05 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -442 - -446. Let o(a) be the first derivative of -3\/5*a**5 - 7\/24*a**6 + 0*a**2 + 1\/6*a**3 - 3\/16*a**h + 6 + 0*a. Let o(u) = 0. Calculate u.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/11?  (a) 4912  (b) 12  (c) -2\/3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 90*d - 5. Let h be v(2). Let n be (-2)\/(-6) + h\/15. Suppose 4*c - 85 - 59 = 0. Calculate the greatest common divisor of n and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 2*l = 1 + 8, 2*l + 6 = 0. Suppose -s*d - 1 + 7 = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1, 56.75, 2, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (7\/(-231))\/((-2)\/12). Let g = -3 + 1. Let m be (-2)\/g + (-8)\/5. Which is the nearest to 0.1?  (a) m  (b) h  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**2 + 10*d + 1. Suppose -24 = -4*c + c. Let j(x) = 7*x**2 - 1. Calculate the remainder when z(c) is divided by j(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 3 + 1)*(4 - 4 - 2*j**3) + 2*j**2 - 2*j**2 + 2*j**3 - 306*j**3 + 245*j**3 - 301*j**3)*(-1 + 0 - 5).\nAnswer: 2184*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*m**2 + 8 + 0*m - 192*m**3 + m**4 + 97*m**3 - 2*m + 100*m**3 in the form n*m + r + b*m**3 + c*m**4 + o*m**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j + 6. Let z(n) = n + 5. Let w(d) = -4*g(d) + 5*z(d). Determine w(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22.000007 - 22. What is w rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(108) + sqrt(108) + 3*3*sqrt(108))*5)*-4.\nAnswer: -1320*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 + 20*c**2 + 21*c + 64. Let r be h(-19). Solve 2*w - w = 2, -5*p - 3*w = -r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 4*u - 2, 4*u = 2*u + 2*o + 4. Let j = -0.2 - -0.1. What is the nearest to j in -2, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 86 - 90 = 0. Suppose 3*y + s = 406. Let g = y - 77. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1287083010 < -1287083012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 271*g = 73*g - 4429 + 865 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17462438 by -14.\nAnswer: 1247317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6040 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -393, -2, -520.64?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1707 - -1713. Solve -q*f = 61 - 31 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-12))**(-1\/19)\/(q**(-2\/3)*q*q*q**(-4\/29)))**(-38) assuming q is positive.\nAnswer: q**(1864\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*y = 14*y. Suppose i - 358 = -2*m - m, y = 4*m + i - 477. List the prime factors of m.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*g = -x + 5*x - 219, -3*x = -3*g + 42 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1400)*2)\/sqrt(72))**2 - (sqrt(56)\/(sqrt(8) - sqrt(32)) + sqrt(7) + sqrt(175)*4).\nAnswer: -20*sqrt(7) + 700\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 458 + -450. Suppose -v*o + 12266 + 24286 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6916509 and 2394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -370, -3186, -7820, -14272, -22542, -32630?\n\"Answer: -909*o**2 - 89*o + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/4*472\/(-1593)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 27917 (base 13) in base 5?\nAnswer: 4332132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 107955937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the third derivative of -h**6\/540 + 2*h**5\/45 - 7*h**4\/36 + 10*h**3\/27 + 3*h**2 - 7. Factor p(d).\nAnswer: -2*(d - 10)*(d - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1165*b*g**3 + 11*b*r + 6*g**3*r + 6*g*r - 6*r + 25 wrt b.\nAnswer: -1165*g**3 + 11*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 1917169160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - (16 - 13)) + -4 + (5 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 7*f**2 + 5*f + 6. Let i be s(6). Suppose -33*b + 31*b + 6 = i. What is the remainder when 27 is divided by (b\/2)\/((-3)\/(-20))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -842?  (a) -4  (b) 3\/121  (c) -0.05  (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 - 3. Suppose -o - 5*o = 42. Let p = d - o. Solve 3*m + 0*m = -p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-1) - 45\/(-15). Let l = 0.063 + -5.063. Which is the nearest to 0.3?  (a) -0.15  (b) 0.5  (c) u  (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 2871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -4*v. Let c be (v + -1)*(0 - 5). Suppose 4*d - 3*n = -0*n + 535, d - c*n - 121 = 0. What is the greatest common factor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (41\/4)\/(2\/3200). Round x to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9760.5 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, -2\/5, 0.4, -2, -15 in decreasing order.\nAnswer: 0.4, -1\/5, -2\/5, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 122608859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13549 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/((2\/6)\/(19\/38)). Solve z + 1 = -q, -3*z - v*q = 2*z + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -409, -2, 5, 9.\nAnswer: -409, -2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 72*x - 183. Let y be s(2). Put y, -2, 3 in increasing order.\nAnswer: y, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4292\/9 - -480. Let q = r + -26\/9. Are -2\/5 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - (23 + -28 + 11)) + (-5 - -5 - -93)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 PM and 11:44 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -88460 + 783901. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -133640602 rounded to the nearest 100000?\nAnswer: -133600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -137*-1.5.\nAnswer: 205.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**2 + 2*o - 2. Let f be d(1). Let q(y) = -2*y - 2. Calculate q(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/1617 and -16\/40523.\nAnswer: 1337259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - c)*(7*c - 3*c + 2*c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/24 and -49\/136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132*j + 869676 = 163*j + 245*j. What is the greatest common divisor of 274 and j?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -440 (base 7) to base 6.\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(8\/(-48)*-3). Let d be 14 - (-2 - (-1 - -6 - p)). Is d less than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22458 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 + 120*l - 242. Calculate i(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -3*q**3 - 2*q**2 - 35934*q - 35934. What is z(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 60277665\/4 or 15069416?\nAnswer: 60277665\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1257162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 199, 15, -5 in decreasing order.\nAnswer: 199, 15, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20799*p + 2 = -20800*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 - 9*x - 11. Let z be d(11). Suppose 0 = -c - z + 18. Let k = 4 - -1. Calculate the least common multiple of c and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-78 - -65) + -1 + -2 + 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -16, 33381 in decreasing order.\nAnswer: 33381, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7007 is divided by 241?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.412 + -0.112. Let x be ((-1)\/(-3))\/(8\/9). Put a, x, 0.1 in descending order.\nAnswer: x, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0873 and -73?\nAnswer: 6.3729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252) - -6*sqrt(252)*-1 - sqrt(252))\/sqrt(4))\/(-1*sqrt(36)*-5).\nAnswer: -3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/6 - (-1 + 2). Let n be ((-4)\/(-6))\/(4920\/4428). What is the nearest to b in 2, -1\/4, n, -0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 331985837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -119171*h**2*o**3 + 25*h**2*o - 82*h**2 + 5*o**2 wrt o.\nAnswer: -715026*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 39067\/4719 - -86\/1573. Factor 0 - q*t**2 - 1\/3*t**4 - 10\/3*t**3 + 0*t.\nAnswer: -t**2*(t + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 274.49353 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 43.7 + -43.7. Let y be (-4 - -1) + (-76)\/(-28). Put i, 1\/4, y, -4 in decreasing order.\nAnswer: 1\/4, i, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6162?\nAnswer: 2, 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k**5\/2 - 53*k**4 - 2105*k**3\/2 + 7975*k**2 + 164402*k + 155428 = 0. What is k?\nAnswer: -14, -1, 13, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 - 9.999999944. Round c to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 801.5575 weeks in microseconds?\nAnswer: 484781976000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 35*z. Let b(d) = -d**2. Calculate b(h(a)).\nAnswer: -1225*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n = -3*n - 52. Suppose 0 = -n*h + 10*h + 1026. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z**2 - 237963082*z - 14156607098734681 = 0. What is z?\nAnswer: -118981541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 10) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 8. Let q be h\/((-28)\/16) - 2. Solve 5*f = w + 17 - 5, -4*w - 4 = q*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 7*w + 25. Let h be d(-4). Calculate the least common multiple of 3\/18 - h\/((-72)\/(-4556)) and 76.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*u - u - u - 3*u + u + 3*u + (u + u + 0*u)*(-2 + 2 - 2) + (0 - 1 + 0)*(258*u - 147*u - 1701*u - 351*u) as h*u + v and give h.\nAnswer: 1940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.051 and 730.294.\nAnswer: -37.244994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*a + 2*w, -5*a + 9*a + 4*w = 28. Let f be ((-80)\/(-24))\/(a\/6). Suppose f*i = -15, 4*p - 3*i - 31914 = 8387. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(704)*1 - sqrt(704)) + 3 - sqrt(704)) + sqrt(1100) + -3*sqrt(1100) + -2)**2.\nAnswer: -56*sqrt(11) + 8625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1167, 4645, 10443, 18567, 29023?\n\"Answer: n**3 + 1154*n**2 + 9*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = 2*s + 84, s - 3*r - 2*r + 42 = 0. Let m = s - -208\/5. Which is the second biggest value?  (a) 5  (b) m  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 1, 0, -1, -0.04, 58, -213, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 315273, 630541, 945809?\nAnswer: 1261077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 + 5 + 0 - (-1 + (10 - -9) + -11).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 142 - (1 + 3)*1. Suppose w = -20*f + 23*f. Does 23 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -34256627*f**2 - 2991525 wrt f.\nAnswer: -68513254*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 32\/5 of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 3 = 18. Let v = h + 6. Solve v*t - t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -52405*i**2*w*x + i**2*w + i**2*x - 1424*i**2 + i*w*x + i*x + 5*w + 75 wrt x?\nAnswer: -52405*i**2*w + i**2 + i*w + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000031581 to seven decimal places.\nAnswer: 0.0000316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*q - 53*q = -14*q - 20*q + 5*r + 15, 0 = q - q + 3*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1273 + -2045. Suppose -3*k = 5*z + 2331, 45*k = 41*k - z - 3091. Does m = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a + 6*a - 30. Suppose a*g + f + f - 2927 = 0, 5*f = -g + 967. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/5 and -41\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20298?\nAnswer: 2, 3, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (2 - (1 - 7 - -16)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -182.6 + 188.6. Sort 2, 1\/4, s, 3.\nAnswer: 1\/4, 2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -155770000*v**2 - 59*v + 59. Let o be s(1). What is o rounded to the nearest 1000000?\nAnswer: -156000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 27 = -3*a, -4*x + 10*x + 4*a - 44 = 0. Solve b = -13*c + 17*c + 22, 0 = -2*b - x*c - 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -3*h + 11. Determine a(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 - -11. Let b = o - 6. Put -0.2, b, -1\/3 in decreasing order.\nAnswer: -0.2, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/15, -4, 1, 814?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -56777095803.488959 + 57833875714.98895881. Let i = -1056779916 + r. Let c = i + 4.5. What is c rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 4*w = 0. Let j(i) be the first derivative of -3 + 0*i**2 + 1\/8*i**4 + 1\/10*i**5 + 0*i + w*i**3. Factor j(p).\nAnswer: p**3*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 - 52*c**2 - 215*c + 273. What is the lowest common multiple of m(56) and 6?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + -2038?\nAnswer: -2037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -20671 - -62442. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -11661, -26178, -40689, -55188, -69669, -84126, -98553?\n\"Answer: j**3 - 3*j**2 - 14515*j + 2856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*k**3 - 169191*k**2 + 2990400*k + 868212 = 0. Calculate k.\nAnswer: -2\/7, 18, 8039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of v**3\/3 + v**2\/2 + 2*v - 8. Let j be t(-2). Solve j*b + 0 = -12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.09324 + -0.09324. What is the closest to 1\/3 in -3, 12, 6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 21\/4 of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-679)\/42*-2 + 2\/(-6). Let p be (-3)\/(-2)*(-300)\/9. What is the common denominator of c\/p*(15 - 13) and 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 20555 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = v - 6. Solve 6*h - v*o = 3*h + 15, 5*o + 7 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v**3 + 4*v**3 - 3*v**3 + (3*v - 2*v - 3*v)*(-24 - 14*v**2 + 24).\nAnswer: 27*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 60 + -42. Suppose 0 = t - u + 2*u - 49, 0 = 4*u + 12. What is the remainder when t is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppuvxspbuxxbpbs. Give prob of sequence sv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m - 3 + 3)*(4 + 2 - 4) + (0*m + 2*m - 4*m)*(0 - 4 - 1).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wbzzwm. What is prob of sequence mz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kikiikkkikk. What is prob of sequence kkik?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 4, 42, -5, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/4*(1 + 222) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of -71*s**3\/6 + 7*s**2 - 293*s + 1. Let x be (-30)\/5*4\/6. What is the hundreds digit of g(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 22*d**2 + d + 1. Let u be x(2). Let b be (3*(-56)\/(-72))\/((-4)\/(-12)). Suppose -b*s + 0*s + 91 = 0. What is the highest common factor of s and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -31*k + 768. What is b(29)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(-127)\/56 - 9?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7699, -15397, -23095, -30793?\nAnswer: -38491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - c = -0*c - 17, 4*c - 8 = 0. What is the derivative of q + z + 4*z - 8*z + 7*z wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 56571523 to the nearest integer?\nAnswer: 7521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 65013125, 130026250, 195039375, 260052500, 325065625, 390078750?\nAnswer: 455091875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from suisiiuuuus. What is prob of sequence ssuu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 169.02 to the nearest integer.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 3*j**2 + 3*j - 3. Let k(w) = -3*w**2 - 4*w + 3. Let f(s) = 3*k(s) + 4*l(s). Determine u so that f(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + (2 + 9 - 6 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23434 - 23457. What is the nearest to -2 in f, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20786\/55 less than or equal to 378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 11 = 2. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (11 + -9)*(-3 - 57\/(-21)). Which is the nearest to -0.13?  (a) 2\/19  (b) -2\/13  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*m**4 + 11*m**2 + 176*m + 23184 with respect to m.\nAnswer: 16*m**3 + 22*m + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 2*v**2 + 14*v. Let c be d(-7). Suppose c*g - 4*g = 2*g. Let u(h) = -h**3 + h - 23. Calculate u(g).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -312 (base 4) to base 3\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/47, 268006, 1\/3 in descending order.\nAnswer: 268006, 1\/3, 2\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 7:20 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 113 + -111. Suppose -4*z - 3*y + 6 = 0, -1 = z + 3*y + a. Solve 6*g - 11 = -z*w + 2*g, 2*w + 3*g - 8 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-12)\/(-32) - (-223434)\/144?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*m - 0*m - 6. Put 5, m, -4 in decreasing order.\nAnswer: 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 91*y + 38. Let x be p(0). What is the highest common factor of 6878 and x?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13 + 7)\/(-3 - (-36)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -591*t**2 - 2364*t + 7. Calculate s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -3*p. Let u(y) be the third derivative of -108*y**2 + 0*y**4 - 1\/6*y**5 + 0 + 0*y**3 + y. Determine u(b(q)).\nAnswer: -90*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 22515, 45028, 67541?\n\"Answer: 22513*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 90*p + 552 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aw when two letters picked without replacement from {w: 1, q: 10, o: 1, a: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-24)\/(-576)*78\/(-64) and -11\/8?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -0.2  (b) 19  (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 180505250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 + 997*c - 34640. Calculate h(36).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from wbwwwbwwbwwwwbwwww.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 83438*o**2 + 29*o - 28. List the prime factors of m(1).\nAnswer: 3, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 897779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/888 and -11\/130684?\nAnswer: 784104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2425532 to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 5.88. Let u = j - -0.22. What is the nearest to 2\/3 in 5, 2\/15, u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12034, -23960, -35886?\nAnswer: -47812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/40 and 69\/296?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pttt. What is prob of sequence tp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 3:41 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 - 17*z**2 - z + 23. Let t be p(17). Let r = 0.07 + 2.93. Which is the biggest value?  (a) r  (b) 1  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from frm. What is prob of sequence fr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*i**2*l**3 + 6498394*i**2*l**2 + 6*i**2*l - 2*i*l**3 + 11311*i*l - i - 22*l**2 wrt i.\nAnswer: 4*l**3 + 12996788*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -417 divided by -2?\nAnswer: 417\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*v**3 + 10*v**3 + 17*v**4 - 35*v**3 - 11*v**4 - 2 + 11*v**3 + 6*v as o*v**3 + j*v**4 + z*v + u + f*v**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -0.344\nAnswer: -1.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (1\/4)\/(((-10)\/(-32))\/((-3445)\/(-212)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4002 and 1334.\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12.3 + 3.7. Let x = 4\/1031 + -3109\/4124. Sort x, 2, a in decreasing order.\nAnswer: a, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12919355 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12644475?\nAnswer: 3, 5, 53, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of 2*d**3\/3 + d**2 - d + 1. Let v = -25 + 15. Let b = v + 8. Give s(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/1 - (-9)\/9. Let s(d) = -d**3 - 5*d**2 - 5*d - 4. Let g be s(-4). Sort -5, b, g.\nAnswer: -5, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35 + 117 - 6*y**2 - 41 - 40 - y**2 to c + x*y + m*y**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -63 + 65. Suppose -g*t + 22 - 34 = 0. Let f be (4\/t*15)\/(-2). Solve f*v - 13 = p + v, -5*v = -15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/10 - 13608\/(-270). Suppose -121 = -4*p - 5*w, -4*p + 3*w + f = -95. Calculate the remainder when p is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17760 + 17760.1. Which is the smallest value?  (a) y  (b) 2  (c) -1\/5  (d) -318\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*g**3 + 2*g**3 - g**3)*(3 - g - 3)*(12*g + 11*g - 7*g).\nAnswer: 96*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 139 - 91. Let r = -2 - -4. Suppose -j = -5*x + x - r*c, 3*x - 37 = -c. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 213353 = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3712*v**2 - 2\/7*v**4 + 53824\/7*v - 460\/7*v**3 + 0.\nAnswer: -2*v*(v - 2)*(v + 116)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddfddffddfddfff. What is prob of sequence ddf?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 0*y = 0. Suppose y*b + 2*b - 28 = 0. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 (base 8) in base 12?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6*z**3 - z**3 + 1 - 3 wrt z?\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/40 - ((-1428)\/70)\/17?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 - 1. Let h(r) = -r**2 + r + 3. Let p(x) = -2*a(x) - h(x). Let s be p(-1). Suppose s*q + 2*q = 25. Sort 4, q, -3 in descending order.\nAnswer: q, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - 4. Suppose -1 = -2*x + s. Solve 12 = -x*z - z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6653 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4062*t**2 - 641*t**2 - 2740*t**2 + 27171*t**2 + 38379*t**2.\nAnswer: 66231*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 11029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wmmmmmwmmw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*i + 3*g + 38, 5*i = -g + 74. Suppose -2*s = p - i, 0 = -3*p - p + 3*s + 115. Let y be 3\/(-12) + (-2716)\/(-112). Which is smaller: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4445174936?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -46 + 46. Factor 0*s + w + 1\/4*s**2.\nAnswer: s**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 308.500165 - 308.5. Round s to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5745, -11489, -17233, -22977, -28721?\nAnswer: -34465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -423*b + 35*b - 25320 = 245*b for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 12*m - 5*m - 14*m - 9*m. Let b(r) = 6*r - 15*r + 8*r. Give b(f(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-30)*x\/x**(-23) assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is b in b**4 + 1985238*b**3 + 11911404*b**2 + 23822792*b + 15881856 = 0?\nAnswer: -1985232, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes after 4:57 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 306489199?\nAnswer: 306489199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*3*((sqrt(91) + (sqrt(91) - -4*-1*sqrt(91) - sqrt(91)) - sqrt(91)) + sqrt(91)))\/((sqrt(70) + (sqrt(70) + -2*sqrt(70) + sqrt(70))*-3)\/(sqrt(160)*5)).\nAnswer: 1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange a**2 - 2*a**2 + 5*a**2 - 86*a - 3*a**2 to b + n*a**2 + c*a and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 5660*-2\nAnswer: -11320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-1200)\/(-32))\/(-25))\/(-2 - -8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 7*w**2 + 112*w + 181. Let l be c(-14). Let r(t) = t**3 + 17*t**2 + 23*t - 8. Give r(l).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 + 6*f**2 + 2. Let j be n(6). Suppose -4*l - 299 = k, 3*l = 5*l + j*k + 148. What is the smallest value in 2, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 - 4. Let h = 0.8 - i. Which is the third biggest value?  (a) h  (b) 3  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 176268 - 11260 = 36*r + 23060. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4.6, 0.186, 0.221, -4?\nAnswer: 0.186","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 66\/4293143 or -1?\nAnswer: 66\/4293143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 5 = -3. Suppose -w*f + 3*f - 15 = 0. Let d be (f\/(-5))\/((-1)\/1). Solve q + d = 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -8405.\nAnswer: -33620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 + -2 + 1 - (2 - 2). Suppose -5*j + 4*v - 3 = 3, o*j - v = 0. Let n(k) = 8*k**j + 32 - 19 - 13. Let u(l) = -7*l**2. Determine -6*n(h) - 7*u(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1011 + 1212?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = x - 3*x. Suppose -4*u = 6 - 26. Suppose -y = -6*y + u. Sort y, x, -5.\nAnswer: -5, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 2*n - 10 = 0, 3 = 5*u - n - 65. What is the least common multiple of u and 952?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 + -3 - ((-110)\/(-120) - 3). Let h(f) be the second derivative of -7\/2*f**2 + 3\/2*f**3 - c*f**4 + 0 + 5*f. What is h(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17*g**2*p**5 - 8*g**2*p**4 - g**2*p - 3*g**2 - 434*g*p wrt p?\nAnswer: -340*g**2*p**3 - 96*g**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100011100 + -10010111011?\nAnswer: -100111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -u - x, -2*x = -6*u + 2*u + 30. Suppose 2*j + u = y, 5*j + 12 = -10*y + 6*y. Suppose y*b - 4585 = -5*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 4*j, -5*m + 79*j - 75*j = 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -55*g + 89. Give t(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -384*l + 324 - 60*l**3 + 771*l + 2*l**2 - 387*l - 10*l**3 wrt l.\nAnswer: -210*l**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b - 45141. Let j(v) = 14*v. Calculate p(j(z)).\nAnswer: -14*z - 45141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 PM and 12:28 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-10)\/8 + 5\/20. Let l be -1 + -1 + (16 - i). Solve -l = -2*t + 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15466, 30956, 46446?\nAnswer: 61936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*r = 119*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 74483351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p**2 + 2*p - 58. Let f be w(-5). Let i be (f - -13)*((2 - 0) + -3). Suppose -2*o = -4*z + 60, 4*z - 3*o - 69 = -13. Solve i*s + z + 3 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 - 11*k**2 - 9*k + 22. Let s be y(10). Let x = s - -302. Calculate the remainder when x is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 = -22*p - 31 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.813 and 0.\nAnswer: 1.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -8*i**5 - 16*i**4 + 18*i**3 + 9*i**2 - 10*i + 3. Let m(s) = s**4 - s**2 + s. Let h(v) = -g(v) + 4*m(v). Determine j so that h(j) = 0.\nAnswer: -3, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 582900 is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 4*l + 37 = 13, -2*q + 4*l + 24 = 0. Solve -5*g + k = -1, q = -3*g - 2*k - 5 + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 3 - (-31 + 103 + -15 + -12)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 108, 279, 520, 831?\nAnswer: 1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m = m - 382*j + 824, m = j + 6*j - 10*j + 26 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59*f - 8*f**3 - 54*f + 160*f - 48*f - 144*f**3.\nAnswer: -152*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7663755 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = -3*f - 2*a, f + 3*a + 4 = 3. What is the common denominator of (-16 - -10)\/(53\/f + 2) and -39\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4926752472 to the power of 1\/3, to the nearest integer?\nAnswer: 1702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b**(3\/8))*b**(8\/5))\/((((b*b**(2\/11))\/b)\/b)\/b)**(3\/2) assuming b is positive.\nAnswer: b**(1739\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.8162 and 5.\nAnswer: -4.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s + 1. Let x(d) = 3*d - 4. Let q(i) = -4*b(i) - x(i). Let y(z) = -z - 3*z + 3*z. Give q(y(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 15) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*g + 23*g = -3*j + 14, 5*g - 20 = -5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**3 + 8*b**2 - 92*b - 240.\nAnswer: 4*(b - 5)*(b + 3)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (208 + -173 - (-4 - (2 + 5 + -5)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 4*z**2. Let b(r) = -21096*r. Determine o(b(g)).\nAnswer: 1780164864*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -c2d + -3?\nAnswer: -c30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 + -1)*-2*22\/(-4). Suppose -h + 2 = -t - z, t = 5*h - 73. Calculate the remainder when 54 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -148*i + 153*i - 35 - 25 = 0 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1c8504 (base 14) to base 3\nAnswer: 1220220120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79016.74 decades to millennia.\nAnswer: 790.1674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.4 - 8.4. Let j = 7.5 + q. Sort -6, j, 4\/7.\nAnswer: -6, j, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 0*r + 2*r**2 + 5 - 3*r**2 + r. Let b(n) = -2*n**2 + 2*n + 10. Let h(j) = -4*b(j) + 9*k(j). Let o be 5 + -2 + 6\/(-2). What is h(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 - z**2 - 1. Let i(y) = -y**3 - 6*y**2. Let t be i(-6). Determine v(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10 + (-156)\/(-30))*(-270)\/(-108)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 2*h + 6 = 0, -4*h - 6 = -2*d - 3*h. Let o(j) = 3*j**3 + j**2 - 2*j + 2. Let u be o(d). Let x = 6 + u. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 9*k - 2. Let r be o(1). Let x = -4 + 67. Calculate the highest common factor of x and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-5)\/(-40) - (-10)\/(-80)*-1007 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1619 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -156 (base 11) in base 10?\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = -r - 948. What are the prime factors of 8\/(-36) + r\/(-36)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (324\/864)\/(2\/16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 31, -2266 in decreasing order.\nAnswer: 31, 2, -2266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 223*r + 640 = 148*r + 59*r for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t + 10. Suppose -2*y - 5 - 5 = 0. Is 3 a factor of u(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5341611 by -3093.\nAnswer: -1727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1ccc (base 14) in base 3?\nAnswer: -21020102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from avs?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 155842846?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -45 in -6, -5, -0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(3\/2)\/(a\/a**(5\/4)))\/((a\/((a\/((a*a*a**(1\/4)*a)\/a))\/a*a*a))\/a)**(-1))**9 assuming a is positive.\nAnswer: a**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -5*y + 4. Let l be 2\/(-6) - 8\/3. Suppose 3*v = t + 19, 0 = 6*v - 4*v + 4*t + 6. Let j(u) = -9*u + 7. What is l*j(b) + v*i(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 33496*h*j**2*m**2 - h*j*m**2 + 1874*j**2*m**2 - 12*j**2*m wrt h.\nAnswer: 33496*j**2*m**2 - j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 55.83572 meters?\nAnswer: 0.05583572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8653775 and -20.\nAnswer: -173075500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - ((13 + -9 - 12) + -16).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of -r**4\/24 + 853*r**2. Let p(g) = -1. Let x(b) = -7*b + 28. Let s(t) = 140*p(t) + 5*x(t). Give u(s(c)).\nAnswer: 35*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13 + 11)\/(-8) - 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 131 + 1 - (7 + (-87 - -108) + -23 + 4)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -23, -163, -545, -1289, -2515, -4343, -6893?\n\"Answer: -20*k**3 - k**2 + 3*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 231\/(-4158)*-1*2\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 595905559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 254 - 107. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24.115 - -0.04.\nAnswer: -24.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 152 + -152.001246. Round j to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 49118 - 33799. List the prime factors of a.\nAnswer: 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/3 and 9\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 665177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3.96 + 0.6094\nAnswer: 4.5694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -215 - 220 - 88848*y + 437 - 2097*y.\nAnswer: -90945*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 43?  (a) 1\/8  (b) 105  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - 5 - -10 - (1 - 11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -417.8, -1, -123, 3\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-48)\/(-8)*-6)\/(16\/88*11)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-p + p - p)*(0 - 2*p + 0) + (-2*p - 4*p + 3*p)*(-3*p - 2*p + 2*p) to the form l*p + z + i*p**2 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 8. Suppose q + 80 = c*q. Calculate the greatest common factor of 20 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 126 - 3d4?\nAnswer: -2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000051758 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, -69, -1, 259 in increasing order.\nAnswer: -69, -1, 1, 5, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11280 by -1880.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10\/4*(-18)\/15. Suppose 3*j + 40 = 34. Sort j, s, -6 in decreasing order.\nAnswer: j, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17448 is divided by 499.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b - 4*w = -15*b + 127840, -159794 = -5*b + 3*w. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 38\/(-70) - 1\/(-7). Let q = 17.7 - -2.1. Let m = q + -20. Which is the smallest value?  (a) i  (b) m  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-15) + 28\/(-80))\/((-65)\/20)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 56 - 55.948. Let v = z - 0.05321. What is v rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 42\/(-4)*12218136\/(-98). Suppose 3082914 + o = -4*w. What is w rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1599*c + 1596*c - 3199*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1905*r + 75553 + 15887 = 0 for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in six fifths of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18*z - 216*z**2 + 47*z**4 - 210*z**4 - 18*z - 183*z**2 + 2*z**6 wrt z.\nAnswer: 240*z**3 - 3912*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75 = -15*v, y - v = 915 - 908 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*n - 31*n - f = 3, -5 = -3*n - 4*f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.7 + 1.4. Let b be (3\/(-9) - -1)\/(-5 - -7). What is the smallest value in b, x, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + w = -43, -2*m = m + 3*w + 51. Let a = 114 - 72. Let g = m + a. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + -1. Let w = 1273\/3765 + -6\/1255. What is the closest to w in -1, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + 1 + 0 + sqrt(272)*-5.\nAnswer: -19*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 - 156555*t + 2035052. Determine s(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*s + 6 - 7 + 1 as z*s + o and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(27) + 1)*4)**2 - (3 + (sqrt(96)\/sqrt(8))**2 + 1).\nAnswer: -96*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 + 24*r + 88. Suppose -z - 4 = 5*x, -3*x - 7 = -z + 29. List the prime factors of q(z).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -5. Let r be (-372)\/(-72) + a\/(-4). Let l = r + -44\/9. What is the smallest value in -5, l, 0.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 3*j**3 + j**2 - j - 2. List the prime factors of l(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v + 6*v + 6 = 0. Let w be -6*v*(-2)\/9. Let b be (5\/3)\/((-5)\/(-6)). Solve w*c - 14 + 39 = 5*u, b*c = -u - 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2504 (base 8) to base 7\nAnswer: -3634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1857 + -1793. Let i = -25 - -42. Calculate the remainder when g is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 + 12*a - 29. Let p be w(-14). Let g be (-164)\/(-8) - (p\/6)\/1. Let n = g - 803\/39. Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eoeooeooee. What is prob of sequence ooe?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*c**3*o - 6*c**3 + c**2*o - 30*o wrt c?\nAnswer: 18*o - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 269*y**2. Let d(g) = -g**2 + 219. Determine d(x(v)).\nAnswer: -72361*v**4 + 219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 287890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 11*u**3 + 6*u**2 - 871*u + 3469. Let w be z(4). Which is bigger: 779 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6687 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-58 + 71 - 59)*(3*w - 3*w - 2*w)*(4 - 3 + 1 + (1 + 2 - 1)*(0 - 2 + 4) + 7 - 4 - 2 + 5 - 1 - 3 - 2 - 3 + 3)*(219 - 19 - 53).\nAnswer: 81144*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(12)\/sqrt(4)*3 - (2 + (sqrt(12)\/sqrt(4))**2).\nAnswer: -5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1355066 is divided by 1769.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -81\/5, -2\/3, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 399*o - 1147. Let f = -7 + 22. What is the smallest common multiple of t(3) and f?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.4 + 5.4. What is the nearest to 0.2 in 2\/15, h, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 39*q + 1 + 3 - 2 + 174*q + 11*q to the form i*q + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of -i**6\/720 - 7*i**5\/40 + 17*i**4\/24 + 47*i**2. Let p(o) be the second derivative of z(o). What is p(0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26915 * -0.259\nAnswer: 6970.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 29222 + -29222.00084738. Round z to five dps.\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from rvry.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + -0.7. Let i = -21.65 + 22. Let n = i + -0.36. Which is the closest to -0.1?  (a) 2  (b) s  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-8)*0\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 1)*(22*i - 22*i + 2*i**2)*(-3*i - i + 6*i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1243517.\nAnswer: 11, 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 21*y**2 + 5*y - 47. What are the prime factors of t(5)?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 241.95632 rounded to one decimal place?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -137463*w**3 - 7*w**2 + 137460*w**3 + 43*w**2 = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + -184165?\nAnswer: -184165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 3*v**5 - 13*v**4 - 206*v**3 + 370*v**2 + 3275*v - 1125 = 0.\nAnswer: -5, 1\/3, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10.6 + 10. Let m = -0.29 - c. Let h = 0.309951 - m. What is h rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -7. Suppose 5*n - 62 = -o, 4*o = -k*n + o + 54. Suppose 0 = -y - 3*y + 32. Calculate the smallest common multiple of n and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -99*n + 15 + 14 - 36 + 8 to d + o*n and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1139751 + -249746. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-2) - 27\/((-486)\/90). Let w = -2 - -5. Suppose c + b*u = -2*c + 39, -u = w*c - 37. Solve 4 = 4*f + c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13435, -13424, -13387, -13312, -13187, -13000, -12739, -12392?\nAnswer: -11947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-8 - -3) + 7 + 2 + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 AM and 11:07 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-146)\/1533*(-6)\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4654620?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -256, -1035, -2334, -4153, -6492, -9351?\nAnswer: -12730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 4 = b, 2*p - 8 = 3*b - 2*b. Suppose b = 2*h + 153 - 411. Suppose 3*z = 5*f - h, z = 4*f - 4*z - 111. What is the least common multiple of f and 14?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -8.501 from -0.4.\nAnswer: 8.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:10 PM and 9:36 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkxi when four letters picked without replacement from mikmximkxiiixmkmm.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 65491 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*w = 10*w + 6890. Let r = -683 + w. What is the highest common divisor of 606 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -76374 - 3?\nAnswer: -76377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - sqrt(17)*-2) + -5 + 2*(0 + sqrt(17)) + (sqrt(425) - sqrt(425)*2) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2474, -9892, -22256, -39566?\n\"Answer: -2473*d**2 + d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(133) + (sqrt(133) + (2*sqrt(133) - sqrt(133)))*-5 - sqrt(133) - sqrt(133))*-4)\/(-4*(sqrt(112) - -1*sqrt(112))))**2.\nAnswer: 2299\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 146 and 84680.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 8 = 2*l. Is (1*-38)\/(l\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of -3*i**5\/25 + 122*i**4\/15 + 82*i**3\/15 - 608*i. Find z such that c(z) = 0.\nAnswer: -1\/3, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -11*x**2 - 625*x + 118. Let b be s(-57). Let y(p) be the first derivative of 11 - 3\/4*p**b + 0*p**3 - 6*p + 9\/2*p**2. Find m such that y(m) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -28*j*m + 48010794*j - 170503*m wrt m?\nAnswer: -28*j - 170503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 51 + 20. Let g = q + -50. Suppose -b - b - 1 = -w, 3*w - 2*b - 23 = 0. Calculate the remainder when g is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**3 - 3*h**2 - 2*h - 3. Let i be s(4). Solve 3*o = 4 + i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 26 - 17. Let n = -26 + 50. What is the lowest common multiple of n and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.016453262 rounded to four dps?\nAnswer: -0.0165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1993, 7415, 16311, 28687, 44549, 63903, 86755, 113111?\n\"Answer: z**3 + 1731*z**2 + 222*z + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*g - 69*g + 4*c = 18, 5*g + 5*c = 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3*c**3 + 13*c**2 + 2*c**3 - 3.\nAnswer: -c**3 + 13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 39 + -27. Suppose o - k = -2*o. Suppose o*c - 24500000 = -c. Round c to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 273*b - 3640 = 259*b. Calculate the highest common divisor of 325 and b.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1669 - 1603) + 2 + 4 + 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (27\/18)\/(-3)*-26. What is the highest common factor of 416 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 214785a (base 11) to base 10.\nAnswer: 3773087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 339*t - 39671 - 4*t**4 + 38608 + t**3 - t**3 with respect to t.\nAnswer: -16*t**3 + 339","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 11*v - 766. Let w be a(70). Solve -5*m + 3 = -2*o, 0 = -3*o - 2*o + w*m + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of -j**4\/4 + 6*j**3 - 41*j**2\/2 - 24*j - 152. What are the prime factors of z(10)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.19168 and 0.252930403?\nAnswer: 0.444610403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2\/17 - 4304*w\/17 + 211200\/17.\nAnswer: -2*(w - 48)*(w + 2200)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32.0291 - -31.93. Round s to 3 dps.\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate f**3*l + 1653*f**3 + 2*f**2*l + 3845*f*l + 2*f + 3*l - 59 with respect to l.\nAnswer: f**3 + 2*f**2 + 3845*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 13 = -2*k + 5*k, -4*w + k + 26 = 3*k + 58 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 169988535?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 800*i**2 - 864*i**2 + 0*i + 0*i.\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1504 and 512.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1825580 and 35116.\nAnswer: -1790464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13141, -13141, -13143, -13147, -13153, -13161?\nAnswer: -13171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q - 7. Let a be 80\/13 + (-48)\/312. Determine n(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 117063 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2046 and 1473802?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 38*z. Let w(i) be the third derivative of i**7\/2520 + 7*i**5\/15 - 13*i**2. Let k(o) be the third derivative of w(o). Calculate a(k(s)).\nAnswer: 76*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 (base 8) in base 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 32535688 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 86268, 86270, 86272, 86274?\n\"Answer: 2*v + 86266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9542 - 13052 = -11*c. List the prime factors of c.\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.0298 not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -152, -150, -146, -140?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-88 - (-28 + -11)) + 96.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((12\/(-16))\/((-18)\/608))\/(5\/((-120)\/16))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - t + 142 = 39, -185 = -5*i - 5*t. Solve 31 = 2*x + i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -3*y**2 + 5. Let h be (-10)\/(3\/(15\/(-10))). Let q(a) = 20*a**2 - 32. Give h*q(u) + 32*m(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 9) in base 15?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-4 + ((sqrt(208)*-2 + sqrt(208))**2 - sqrt(208)) + ((1 + sqrt(13) + 2)*-6)**2).\nAnswer: 1272*sqrt(13) + 5976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 PM and 9:05 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 26240200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2307 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 1\/4, 10, 165, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) -0.2  (c) -3399  (d) -12\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - 161b61?\nAnswer: -161b5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 3*y**2 - 16*y - 1. Determine r(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*h = -47*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yiylylqooroq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 1204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 58*g**2 - 3*g + 4. Let o(k) = 55*k**2 - 3*k + 3. What is -4*o(s) + 3*q(s)?\nAnswer: -46*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -3*h**3 + 336*h**2 - 969*h - 1308 = 0.\nAnswer: -1, 4, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in -2, -208, 0.0022, 3\/7?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 118130612137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = h + 11, -4*c + 17 = 4*h - 11. Let y = -2 + 2. Factor y + 5 - 2 - c*o**2.\nAnswer: -3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1052686170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -2) + 5 + (10 - 6) + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30740 - 30738 - 30610 + 122828 - 4*p - 30740.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-614 - 185 - 545)*(-4*h - 3*h + 5*h) as n*h + c and give n.\nAnswer: 2688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 121770656?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 170*v - 152*v = 2109654. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 21*u - 17*u - 10*u**2 - 10*u**3 + 15*u**2 - 14*u**3. Let k be s(-1). Solve 4*f + 4*g = -g + k, -4*f = -g + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o + 3. Give r(15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(33)\/sqrt(3)*2.\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s**2 - 677*s**3 + 2519 + s**4 + 1355*s**3 - 677*s**3 + (2*s**3 + 2*s**3 - 6*s**3)*(0*s - 3*s + s).\nAnswer: 5*s**4 + s**3 + 2*s**2 + 2519","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 - 4*s + 12. Let l be r(-6). Let o be 3 + l + 72\/12. Let x(m) = 6*m - 17. Is x(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 4*q**2 - 3044*q + 6072 = 0.\nAnswer: 2, 759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 419062.5 millimeters?\nAnswer: 419062500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, -21.11, -1\/3, -2\/3 in increasing order.\nAnswer: -21.11, -2\/3, -1\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 168885243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -2*j + 17. Let t be w(7). Sort 1, -3, t.\nAnswer: -3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 1, 7611, 3 in increasing order.\nAnswer: 1, 3, 7, 7611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5629009 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: Let q(i) = 2965*i**2 - 7*i - 1. Let d be q(1). What is the third derivative of -d + 2957 - 2*f**6 - 15*f**2 - 13*f**6 wrt f?\nAnswer: -1800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 129.34 + -22.87. Let n = -337 - -231. Let m = w + n. Round m to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - (-3)\/(-15)) + 2508\/15. Let k = -170 + v. Let l = -0.7 - -0.2. What is the closest to 0.1 in l, -4, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 0 + 2 - 4 + 4 + 1 - 3 + 0 + 5 - 5 + 2 + (3 - 4 - 1)*(-1 - 3 + 3) - 2 - 1 + 1 + 3 - 2 - 2)*(a - 3*a + 3*a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.708992 + -1.71. What is f rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 10:14 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.510407ms in microseconds?\nAnswer: 1510.407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 + -21. Suppose 0 = -4*c - s*b - b + 12, -5*c - 4*b + 15 = 0. Solve -3*j = -15 + c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 25*j**3 + 43420*j**2 - 43420*j**2 - 70*j wrt j.\nAnswer: 150*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, u: 4, i: 4, f: 5}. Give prob of sequence aaiu.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -120180000 to the nearest one million.\nAnswer: -120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4150\/(-75) - -11)\/(-1*1\/6). Calculate the greatest common divisor of o and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -6\/5, -5, -0.12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**4\/7 + 281*j**3\/7 - 2497*j**2\/7 - 19103*j + 1384416\/7 = 0. Calculate j.\nAnswer: -288, -23, 11, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*u = 23*u - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 33004 = 4*z, 1455 + 23298 = 3*g + 2*z. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -2*t - t + 159, -4*u = 5*t - 283. List the prime factors of t.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3668 divided by -365?\nAnswer: 3668\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 57 and 1206?\nAnswer: 22914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 116320 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 522934645 and 3890?\nAnswer: 1945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/40 + -7*44\/55.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40, -10, 82, 254, 524?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 26555721?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.4 + 0.4. Let f = 0 + g. Let x = -2 + 1. Which is the nearest to x?  (a) f  (b) 1  (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -147.3743971 - -0.1.\nAnswer: -147.2743971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3722)\/8)\/(693\/(-28)). Let v = d + -134\/9. Find the common denominator of (-1)\/4 + 197\/36 and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -15*y. Let i(b) = -12*b**2 - 36096. Determine i(m(q)).\nAnswer: -2700*q**2 - 36096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1799 - -1804. Sort -0.16, i, -15 in decreasing order.\nAnswer: i, -0.16, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -40*w + 76. Let h = -621 - -623. Let g be s(h). Sort 51, g, 0.4.\nAnswer: g, 0.4, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-29)\/(3625\/(-50)))\/(36\/(-495))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lscc when four letters picked without replacement from {c: 4, s: 5, l: 6, g: 4}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -515 - 0.05.\nAnswer: -515.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*v - 3*v = 39. Let l be 27\/(-12)*12\/(0 - v). Let t(c) = -c**2 - 3*c + 2. Let i be t(-4). Sort l, i, -3.\nAnswer: -3, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1036?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3707 = 4*n - c, 6*n = 2*n - 3*c + 3711. Let z = 1549 - n. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 + 8 = 2*f. Calculate the common denominator of 58\/(-4) + 1 + -2 and (f\/(-30))\/(6\/(-657)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - b = 888, 888 = 3*t + 3*b + 2*b. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -145, -130, -105, -70?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -257 + 506. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**4)\/(c*c\/(c**(2\/25)*c)))**(-2\/51) assuming c is positive.\nAnswer: c**(196\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*c + 0*c + 4*c + 97*c - 105*c + 68*c + (-1 - 2 + 4)*(-4*c + 0*c + 2*c))*(-4*c**2 + 3*c**2 + 4*c**2) in the form k*c + a + x*c**3 + r*c**2 and give x.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1  (b) -4  (c) -0.4  (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5242313 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 0 = 2, 4*t + 2456 = -2*j. Let k be j\/2 - (-1 - 1). Round k to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fourty-nine fifths of a minute?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from {u: 1, x: 1, d: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -26 + 2981\nAnswer: 2955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2\/7 + 24776*g\/7 + 76731272\/7.\nAnswer: 2*(g + 6194)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 65*a**3 + 8*a**2 + 8*a + 20. Let b(k) = -22*k**3 - 3*k**2 - 3*k - 7. Calculate 8*b(c) + 3*l(c).\nAnswer: 19*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5c94 (base 14) to base 6\nAnswer: -203002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {a: 1, k: 2, e: 3, g: 11, l: 2}?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.35 - -7.85. What is f rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 2*m**2 - 48*m + 2524. Determine b(23).\nAnswer: 2478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t + 28. Let g(v) = 9*v**2 - 38*v + 24. Let y be g(3). Determine d(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -1. Let f(d) = -124*d - 1. Let v(k) = 2*f(k) - 2*t(k). Let i be v(1). What is the smallest common multiple of 16 and i\/(-14) - 2\/(-7)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jwwdwjdbjrj. What is prob of sequence ddb?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -229\/4*c - 19 - 3\/4*c**2.\nAnswer: -(c + 76)*(3*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-1*sqrt(80)*-3 + 0 + (1*-1*sqrt(80))**2 + sqrt(80) + 5.\nAnswer: -44*sqrt(5) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11.049 + 0.049. Let z = -134 - p. Let u = z + 104. What is the closest to -1\/4 in 2, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 711 and 34049?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 29.0317ml?\nAnswer: 0.0290317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 6:11 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3717, 3721, 3725?\n\"Answer: 4*r + 3713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 2*y - k, y - 3 = -4*k - 2. Suppose -y*d = -0*d. Suppose 0 = 3*x + 4*n - 11, -2*n - 15 = -2*x + 3*n. Solve d = -x*u - 5 - 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6331321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -110 - -156. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 2\/7, 63, 7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 - 56265256?\nAnswer: -56265256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 44.2 in -0.5, -0.9, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 94*q**2*u**3 - q**2*u**2 - 182*q*u**2 + 3*q - 20*u**6 wrt u.\nAnswer: 564*q**2 - 2400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 613 a factor of 2422576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 461 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -6*t. Let a(h) be the second derivative of 305*h**4\/12 + 1552*h. Determine a(c(m)).\nAnswer: 10980*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -5226.448 to the nearest one hundred.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 349*u**2*x**3 + 57*u**2*x**2 - 2*u*x**2 - u wrt x.\nAnswer: 2094*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 112*i - 1564 = -23*i for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2 - -51117\nAnswer: 51115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-68)\/12 - (-1)\/(-3). Let l = -3 - d. Let c(u) = -u**3 - 9*u**2 + u + 11. Let m be c(-9). Solve 5 = m*y - l*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*q**2 - 148*q**2 + 1180*q - 592*q - 588*q.\nAnswer: -122*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 132554*r**2\/9 - 2*r\/3.\nAnswer: 2*r*(66277*r - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 348 - 96 - 100 - 97 - 39*f - 81 as o + a*f and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2110220 - -2303321?\nAnswer: 11020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -78*r - 2. Let c(q) = 1. Calculate -c(g) - u(g).\nAnswer: 78*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sqsjqkssisqkjisww. Give prob of picking 1 s and 1 j.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -160.9 plus 4?\nAnswer: -156.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + -3. Let z = 93 - 93. Let i = -0.34 + 0.24. What is the nearest to z in i, -0.5, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5802 - -5804. Which is smaller: -0.1208 or v?\nAnswer: -0.1208","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggqg when four letters picked without replacement from {q: 13, g: 6}?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/28)\/((-78)\/(-63))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 12 = 0, -4*k + 3*k - 2*l - 3 = 0. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 39228 + -0.22.\nAnswer: 39227.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (16\/(-10))\/(2\/10). Let h be (-2)\/i - (-171)\/36. Solve 1 = -v - 2*o + 4, -4 = -h*v + o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(52) + sqrt(52)*1) + sqrt(208)\/(sqrt(12)\/sqrt(3)))\/((sqrt(4) + 2*sqrt(100))*5)*2*-4.\nAnswer: -56*sqrt(13)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 5*c - 230, 5*a - c = 66 - 280. Let m be (32462\/(-22488))\/(6\/a). Let h = m + -20\/937. Calculate the common denominator of h and 75\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -12249998*z - 4. Let g be n(2). Round g to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5747, 11462, 17179, 22898?\nAnswer: 28619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2297 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -3*j - 7. Let q be l(-3). Suppose q*y = 6*y + v - 10, 5*v = 2*y + 6. Is y*1*(28 - 1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 12 + 3. Let g = z + -4. Let x(n) be the first derivative of -n**2\/2 - n + 2. Let s(u) = u. Calculate g*x(m) - 3*s(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of (33 - 17 - 19)\/((-2)\/3610)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 + f + 5. Let l be y(-5). Let u be l\/20*(-160 + 0). What is u rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6.235975 + -6.23. Round a to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -38*w + 37*w - 4*o, 4*o + 12 = 0. Let b(s) = s**2 + 8*s - 18. Give b(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 6*t - 21. Solve t*m = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/54)\/((-1 + 3)\/(-29 + 26)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6 + (-15)\/(2805\/1111). What is the smallest value in -2\/81, 3, g, 0?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.5  (b) 2\/13  (c) -14  (d) 0.01253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -27 < -80\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 9843.518 years?\nAnswer: 984.3518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3\/9 + 16*j**2 + 2518*j\/9 + 264.\nAnswer: 2*(j + 1)*(j + 27)*(j + 44)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*g**2 + 27*g**2 + 10*g**2.\nAnswer: 78*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.37856636 from 0.1.\nAnswer: -0.27856636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the second derivative of -h**3\/3 + 35*h. Let w(k) be the first derivative of 0*k**2 + 0*k - 1\/3*k**3 + 2. Calculate w(a(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/7, -6\/11, 3\/13 in ascending order.\nAnswer: -4\/7, -6\/11, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + c - 3)*(41 + 14 + 30)*(5*c - 3*c + 0*c)*(0 - 2 + 3) to the form k + y*c + b*c**2 and give b.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 84908376 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1749061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(405)*3)\/sqrt(9) - (sqrt(45) + sqrt(360)\/(sqrt(48)\/sqrt(6))))\/(sqrt(9) - 1*sqrt(576) - (sqrt(27)\/sqrt(3)*1 - sqrt(9))) + 5)**2.\nAnswer: -10*sqrt(5)\/7 + 1230\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1342370, -2684745, -4027120, -5369495, -6711870, -8054245?\n\"Answer: -1342375*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 10, i: 2}. Give prob of picking 2 i and 1 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 381813 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 + 0. Let x be 8\/(-12) + 1*(-10)\/u. Calculate the highest common factor of x and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 21*w**3 + 13*w**2 + 40*w. Let o(x) = -11*x**3 - 6*x**2 - 20*x. Let q(r) = 13*o(r) + 6*v(r). What is the second derivative of q(i) wrt i?\nAnswer: -102*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ziggzfcgzfl. Give prob of sequence iz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w + 7. Let x be h(-5). Let r(l) = l**2 - 2. Suppose 5*n + 7 = -3*z + 2*z, 0 = 3*z - 2*n + 4. Let v be r(z). Solve x*i + v + 4 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3 or -110.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 0 = p. Suppose t = 2*a - 4*a, 5*t = -p*a. Solve a*y - 2 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -139, -169, -133, -43, 89, 251, 431, 617?\n\"Answer: -2*l**3 + 45*l**2 - 151*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3\/2, 7, 0.2, 1\/3, -0.2, 4331?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/67))**(-4\/27)\/((f**(-2\/31)*f*f)\/f)**(-1\/16) assuming f is positive.\nAnswer: f**(48493\/897264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 3) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 272 + -45 + -83 + -63\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1679 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -10220110?\nAnswer: 10220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -4*p + 9*p - 1 + 7. Let r be i(-2). Which is the third smallest value?  (a) 4  (b) -1  (c) -2\/5  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1220059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/34370 and 229\/42840.\nAnswer: 21034440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 26830185047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -880, -2000, -3096, -4156, -5168?\nAnswer: -6120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -11008000 to the nearest 100000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44 + 141 + -60 + (18 - 1).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*p = -13*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 385, 1672, 3657, 6208, 9193, 12480?\nAnswer: 15937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 414.06 - 414.26. Which is the closest to -1\/4?  (a) -31\/2  (b) 2\/9  (c) p  (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2556 divide 3223793910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8981231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1041 (base 5) in base 3?\nAnswer: 12102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -17 - 10559562796558\nAnswer: -10559562796575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -12*s - 6. Let d be i(-2). Suppose -4*w = -k + 103, k + d = -2*w - 29. Let x = 26 + w. Which is smaller: x or -4\/27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*g**2 + 3 - 2 + 2*g - g**2 - 8 to w + v*g + m*g**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -11*r - 21. Let d(m) = -m + 5*m**3 - 9*m**2 - 5*m - m + 1. Let f(v) = 4*v**3 - 8*v**2 - 6*v + 1. Let b(a) = 5*d(a) - 6*f(a). Determine b(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -2*q**2. Let k = -155 + 1551\/10. Let u(n) be the third derivative of 0 - k*n**5 - n**2 + 0*n + 0*n**4 + 0*n**3. Calculate j(u(x)).\nAnswer: -72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 50.6 take away -0.4?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2017703444?\nAnswer: 2, 504425861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the second derivative of -h**4\/12 + h**3\/6 - h**2\/2 - 297*h. Suppose 9 = 3*t, r - 3*t + t = -1. Let s(l) = 3*l**2 - 2*l + 2. Give r*k(j) + 2*s(j).\nAnswer: j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 255, -544, -1849, -3660, -5977?\nAnswer: -8800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -281 = -116*c + 23 + 624 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(204) - -2*-2*sqrt(204))\/(sqrt(12) - (-3*sqrt(60))\/sqrt(5)).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*d**5\/3 - 8500*d**4\/3 + 652712*d**3\/3 - 12400580*d**2\/3 + 22877104*d\/3 - 11120720\/3 = 0 for d.\nAnswer: -2405\/4, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1)\/k*k)**(-23))**(-1)*((k*k\/(k\/k**(2\/5)))\/k*k)**(2\/5)*(k\/k**(-1))\/k**(-2\/17) assuming k is positive.\nAnswer: k**(-8637\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 149 is divided by 62.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 0*b - i + 29 = 0, 4*b + 5*i = 33. Let c(x) = 2 + 5 - b + x**2. Let r(q) = -3*q. Calculate c(r(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c + 5. Let j be z(3). Suppose 3*f = -f. Determine u so that -1\/3*u + 1\/3*u**j + f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111\/2*q**4 + 20*q**2 + 503\/8*q**3 + 4 - 63\/8*q**5 - 47\/2*q = 0 for q.\nAnswer: -8, -2\/3, 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 80192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 - (117\/(-273) + (-18)\/7). Suppose -d + 2 = -u, -4*u + a = d - 6. Suppose 4\/11*v**d - 16\/11*v - 2\/11*v**4 + 8\/11*v**2 + 0 = 0. Calculate v.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -2*j - v + 7376, -4*v = 3*j - 11071. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*m + 0 + 0)*(m**2 - 4*m**2 - 12*m**2) to v*m**2 + i*m**3 + b + h*m and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5304.216 decades to years.\nAnswer: 53042.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -6 - 16 + 0*s - 7*s + 8*s - 9*s + s**2. Calculate m(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -3*q + 9, 5*q = 2*z + z - 4. Let v = 5 - q. Suppose -v*j - 402 = g, -g - 256 - 125 = -3*j. 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: Simplify ((r*r**(-4)*r)\/r*r**(10\/9))\/((r*r\/(r**(-2)\/r)*r)\/(r*r**17)) assuming r is positive.\nAnswer: r**(91\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*2*sqrt(500))**2.\nAnswer: 32000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 694 + -690. Let m(i) be the third derivative of 0 + 0*i**6 + 0*i - 1\/1365*i**7 + 0*i**3 + 0*i**q + 1\/390*i**5 - 16*i**2. Factor m(t).\nAnswer: -2*t**2*(t - 1)*(t + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 44373.739 * 2.\nAnswer: 88747.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (11\/(-5))\/((-11)\/55). What is the greatest common divisor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 7158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 92 = -0*y. Calculate the remainder when y is divided by (6*-1)\/((-3)\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-o + 5*o - 2*o)*(-o + 3*o - 3*o) + (-2 + 2*o - 5*o + 0*o)*(7*o + 2 - 2 + (54*o + 54*o - 4*o)*(2 - 4 - 2)) as x*o**2 + f + t*o and give t.\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(-35) - (102\/14 + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**2 - 6*w - 57. Give r(-6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 11*d - 100. What is j(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4\/6)\/((-5)\/(-45)). Suppose -3*d = -2*z + 21, -3*z + 6*z + 3*d + g = 0. Suppose 7 = -2*x + z*x. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-4)*70\/(-21)*(-5)\/(-50).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 4*n - 143, 3*a - 1 = 4*n - 128. Is -2\/7 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 60.6 * 15\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1570187844 divided by -18?\nAnswer: -87232658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 32 = 2*d, 5*r + d - 27 = -2*d. Let v = -3 + r. Solve 2*a = -v*z + 16, -5*a = -z + 2*z - 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36898140 a multiple of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17*208341.\nAnswer: -3541797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1021313121 (base 4) to base 2\nAnswer: -1001001110111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 4:04 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-26)\/(1\/(-1)*2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(192) - sqrt(192)*1)*4)**2 - sqrt(192)) + (2*(2*sqrt(192) + sqrt(192) + sqrt(192)))**2.\nAnswer: -8*sqrt(3) + 12288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -5, -0.02, 2\/11, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 141 = -79. Find the second derivative of u**2 - i*u + 6*u**2 + 46*u wrt u.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 75501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/12 and -61\/480738.\nAnswer: 961476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) -0.3  (c) 5  (d) 216630\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gby when three letters picked without replacement from jjbbjaayjjvyjygjyvja.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 5, 2*c - 8 = -5*a + 67. Let i = c - 14. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of d**4\/2 - 2*d**2 + 6*d - 9. Let m(z) = z. Let y(r) = -r**3 + 37*r**2 + 202*r + 335. Let l be y(42). What is l*s(b) - 3*m(b)?\nAnswer: -2*b**3 + b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-1))\/(1565\/(-3756)*16\/(-35))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/6)\/(5\/60). Suppose -7*c - 24 + 136 = 0. Calculate the highest common divisor of c and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 2*p = -17, -6*p = -5*z - p + 35. Factor 39*s**2 + 20*s + 43*s**2 - 5*s**z - 67*s**2.\nAnswer: -5*s*(s - 4)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 - z**2 + 3*z - 3. Give q(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -7 + 13 + -36\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180)*2*2 + sqrt(180) + sqrt(180) - (sqrt(180) - -4*2*sqrt(180)))\/(sqrt(810)*5 + sqrt(1000) + 4*sqrt(1000)).\nAnswer: -9*sqrt(2)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 500684 is divided by 1407.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 36.9375 + 0.0625. What is the smallest value in 3, -1\/6, d?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of g**9\/168 + 11*g**6\/15 - 109*g**5\/60 + 929*g**2. What is the third derivative of q(t) wrt t?\nAnswer: 360*t**3 + 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 41184 and 297.\nAnswer: 123552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 3*w = 3, 0 = 4*t - 2*w - 3*w - 7. Suppose 4*u + 38 = m, -t*u - 33 = -m + 2*u. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1476853\/4527 + 2936\/9. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o + 3. Let c be a(8). Let h be 5600*-25*(c\/5 - -51). What is h rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 416721, 833447, 1250173, 1666899?\n\"Answer: 416726*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 32.2 - 38. Let s = k - -6. What is the closest to s in -2\/3, -6\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -178*v**3 + 0*v**2 - 33 + 2*v**2 + v**4 + 177*v**3 to the form x*v**4 + b*v**3 + f*v + l*v**2 + t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -4*p**3 - 812*p**2 + 3*p + 810. What is x(-203)?\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 5*m = 17735, -5*w + 4*m - 4254 = -21993. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -38, -85, -150, -233?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 3. Let v be 11 + -7 + -2 + r. Determine q so that 1\/2*q**2 + v + 0*q - 9\/4*q**3 + q**4 + 15\/4*q**5 = 0.\nAnswer: -1, 0, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2623.\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 2:50 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*(x*x\/x**(-31)*x)\/x)**(2\/17)*(x*(x\/(x*x**(1\/15)))\/x)\/x*x**(-30) assuming x is positive.\nAnswer: x**(-406\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7735 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 353218351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {m: 1, k: 2, p: 5, x: 1, g: 6}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 13768, 13769, 13770, 13771, 13772?\n\"Answer: o + 13767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -8*p - 42. What is the smallest value in 3, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of -15*r**6\/2 - 19*r**2\/2 - 38. What is the second derivative of d(l) wrt l?\nAnswer: -900*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-seven quarters of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 329 = 41. Let d = 19 - -6. Let p = 62 - d. Calculate the remainder when l is divided by p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w - 1. Does 9 divide r(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -176712*z**2 - 2*z**3 + 176712*z**2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -320, -310, -288, -248, -184, -90, 40, 212?\n\"Answer: d**3 + 3*d - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j**4 - j**4 - j**4)*(-1 + 0 - 1)*(3 - 1 - 4) + 52*j**4 + 40*j**4 - 21*j**4.\nAnswer: 47*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-121)\/(-22)*-2 + 10. Let z(m) = 3*m**2 - 3*m. Determine z(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-69)*(-9)\/6. Let l be 8\/(-704)*30*1375\/(-375). What is the closest to -0.2 in l, z, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + (13 - 20) + -1 - -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18507 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.4  (b) -11  (c) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 + 7*s**2 + 5*s + 2. Let g be x(-6). Suppose 0*p - 5*p = -20. Suppose -2*d - 2*d + 48 = 4*b, p*b = 16. Is d at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55.967259 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 - 2*x + 1. Let w be k(4). Solve -3*a + 3 = -w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.02  (b) -1492  (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 323163?\nAnswer: 3, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20, 45, 78, 119?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*p**4 - 7 + 7 + (2*p**2 - 2*p**2 + 6*p**2)*(-2*p**2 + 8*p**2 + 7*p**2) in the form v + l*p + b*p**4 + y*p**3 + t*p**2 and give b.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/12*(-42)\/30*(-363)\/154?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36054 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1, -1\/6, -22.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -32 + 34. Suppose 6*o + 24 = f*o. Let j be ((-15)\/o)\/((-7)\/(-560000)). What is j rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2*3\/18)\/(36\/648). Suppose -12 = u - 3*z, -a*u - 2*z + 8 = -9*u. Which is smaller: -1\/122 or u?\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92.58761um in centimeters?\nAnswer: 0.009258761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, 0, 1, 5 in ascending order.\nAnswer: -5, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 18670, 18669, 18678, 18703, 18750, 18825, 18934?\n\"Answer: z**3 - z**2 - 5*z + 18675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 2\/5, 5, -2\/3159, 4\/41 in ascending order.\nAnswer: -3, -2\/3159, 4\/41, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 52*p**2*x - 5*p**2 + p*x - 944*x wrt p.\nAnswer: 104*p*x - 10*p + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.1404 and -5?\nAnswer: 5.1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1922385301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-4)*f\/(f\/(f\/((f\/f**(2\/21))\/f))))\/(f**1)**14)\/(((f\/f**7)\/(f*f\/(f\/(f*f**(-2\/15)))))\/((f**(4\/7)*f*f)\/f*f**(1\/6))) assuming f is positive.\nAnswer: f**(-73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4075 and 18.\nAnswer: 73350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -292 + 2629\/9. Let m(f) be the second derivative of -1\/36*f**4 + 0*f**2 - 1\/60*f**5 + 0 + f + h*f**3. Factor m(b).\nAnswer: -b*(b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f**5 + 12910*f**4 - 405220*f**3 - 534270*f**2 + 3646575*f + 3762720 = 0 for f.\nAnswer: -2613, -3, -1, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29, 93, 187, 311, 465, 649, 863?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1619?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i + 777*i**2 - 6*i + 5*i to the form k*i**2 + j*i + l and give k.\nAnswer: 777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -808487*m + 1617015*m - 808409*m.\nAnswer: 119*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 323898513?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -162 + 177. Suppose -n*x + 16*x = 51. Calculate the remainder when 253 is divided by x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + -3. Solve -2*r + 11 = t + 2, 2*t - c*r = 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36022, -36051, -36094, -36157, -36246?\nAnswer: -36367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 23, 95, 217, 389, 611?\n\"Answer: 25*m**2 - 3*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134*b = -557*b + 321*b - 621*b + 49887 for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.001 in 11, 2\/3, -3, 0.022?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pspuyspysyupvupasu. Give prob of picking 1 s and 3 p.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -108 - -112. What is the first derivative of -11*o + 11*o + 48*o**v + 58 - 17 wrt o?\nAnswer: 192*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6519 and 1060?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the third derivative of b**6\/120 - b**5\/30 - b**4\/24 - b**3\/2 + 40*b**2. Calculate u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/6060 and 43\/190284.\nAnswer: 951420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 10. Let z(i) = -i - 1. Let a(s) = -4*s + 23. Let q(u) = 3*u - 15. Let o(j) = -2*a(j) - 3*q(j). Let d = -13 + 9. Calculate d*z(h) + m*o(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 102*g**3 - 59*g**3 - 53*g**3.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -18 less than or equal to -251\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 349030784 - 232590784. Suppose -4*n - 7*g = -k, -3*n = n - g - 116440000. What is n rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + 858\/(-55))*(33 + -28) - -15?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p. Let w(q) = 2*q**2 - 4*q. Let m(z) = 4*s(z) + w(z). Let y(r) = 79*r. What is y(m(b))?\nAnswer: 158*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 12067591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -s**5 + 5*s**4 + 25*s**3 - 185*s**2 + 336*s - 180 = 0.\nAnswer: -6, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t**2 - t**5 + 2*t**2 + (0 + 2*t**2 + 0)*(-3*t - 4*t**3 + 3*t) - 3 + 3 - t**5 + 2*t**5 - 2*t**5 + t**5 + 0*t**2 - 2*t**2 - 2*t**2 + 10*t**5.\nAnswer: t**5 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -108 (base 11) to base 5.\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-407)\/(-1320)*2 - (3 - (-36)\/(-16))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:02 AM and 4:57 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 - 5*q - 8. Let w be t(6). Let h = 6 - w. Let k be (-45)\/(-30)*(-2)\/(-6)*6. Solve r = -k*r - h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -47*b**3 + 6*b**2 + 9*b**3 - 11*b**3 + (-3*b + 2*b - b)*(-b**2 + 0*b**2 + 3*b**2).\nAnswer: -53*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1253*f**3 + 333492*f**2 + 1295210432*f.\nAnswer: 7518*f + 666984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/2)\/(336\/672)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3953.9 + -3954. Which is the closest to 0?  (a) i  (b) -19  (c) -7\/3  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2 - 7432*h - 6495720.\nAnswer: -2*(h + 1406)*(h + 2310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -229802132*b**2*u + 508*b**2 + 319650 wrt u.\nAnswer: -229802132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 193570153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*f**3\/5 - 74368*f**2 + 371842*f\/5 = 0. What is f?\nAnswer: -185921, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 + 160 + 7*z - 44 - 38 - 38.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 0 - r**3 + 3*r**2 + 2*r**3 - 2. Let h be u(-2). Let f(g) = -g**2 - 3*g**2 + 3*g**h. Let k(w) = 2*w. What is f(k(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 0 = 6*g. What is the third biggest value in g, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -55, 293, -4, -642 in increasing order.\nAnswer: -642, -55, -4, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2. Let q(y) = -1448*y**2. Calculate r(q(x)).\nAnswer: -2096704*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -487*l + 14. Let u(z) = -1948*z + 63. Calculate 18*h(m) - 4*u(m).\nAnswer: -974*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {t: 1, r: 2, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of -z + 4. Let p(w) = 4*w - 8. Let s(l) = 8*a(l) - p(l). Let v(t) = t. What is s(v(d))?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dwcjjxdc. Give prob of picking 2 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9789284 years in centuries?\nAnswer: 0.009789284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 - 65*z + 2369. Give x(27).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the third derivative of -k**4\/8 + k**2 - 38*k. Let q(z) = 19*z**2. What is g(q(y))?\nAnswer: -57*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -385 + -790?\nAnswer: -1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 4*q - 1105 - 370 = 0, -q - 295 = -x. What is the remainder when 6488 is divided by x?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 18095 - -3?\nAnswer: 18098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-9)\/2 - (-7)\/(-14). Let n(r) = r**2 - 5*r - 1. Let x(f) = 3*f. Let t(p) = u*x(p) - 3*n(p). Differentiate t(j) wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kskskcss. Give prob of sequence skk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -10493, -40812, -91349, -162104?\n\"Answer: -10109*s**2 + 8*s - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 5*u**3 - 22*u - 5. Let a(r) = -5*r**3 + 21*r + 6. Let q(y) = 5*a(y) + 6*j(y). Find the second derivative of q(b) wrt b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1305 and 1071.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 53 = 5*c, -5*c - b + 16 = -3*c. Let y = c - 15. What are the prime factors of -22*(y\/(-4) + -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2423605 (base 8) in base 14?\nAnswer: 134741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 11:05 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 41644*m + 18104 wrt m?\nAnswer: 41644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -19d0 + -22?\nAnswer: -1a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 7:40 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 30684\/17209 or 2?\nAnswer: 30684\/17209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4689877 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-6)\/195)\/(2\/(-10)))\/1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -276 + 467. Let j = g + -192.9. What is the second smallest value in j, 2\/3, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -26.64 and -273750.2.\nAnswer: -273776.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2\/71 + -79\/284. What is the closest to 0.06 in 0, y, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2 + 236*z + 1400. What is the remainder when 7839 is divided by o(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5)\/(-4)*(-32)\/4. Let o = -8 - w. List the prime factors of (4 + (-116)\/(-8))*o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 3*g**2 - 3*g + 2. Let w be h(2). Let l be ((-14)\/w)\/((-1)\/2). Suppose -135 = -38*r + 17. Is r at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/36 and 137\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 2 = 0, -l + 26 - 8 = -m. Let d(n) = n - 54*n + 0*n**3 + 7*n - 2 - n**3 + 16*n**2 + 46*n. What is d(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(600))\/(-4*sqrt(64)\/sqrt(8) + sqrt(8)).\nAnswer: 20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((0\/(-11))\/(-1))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -180035504*c + 0 + 0.\nAnswer: -180035504*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + -ab604a8?\nAnswer: -ab604a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 PM and 6:13 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9319.162s to microseconds.\nAnswer: 9319162000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of 7*s**6\/45 + s**5\/30 - s**4\/24 - 5*s**3\/6 + 5*s. Let h(c) be the second derivative of g(c). Is h(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) 5  (c) -5  (d) -0.571\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/(b**7*b)*b*b*b**(2\/3) assuming b is positive.\nAnswer: b**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2.07  (b) -1\/4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 22470 divided by -14\nAnswer: -1605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (1 + -3 - (17 - 20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -11100111011101100101 (base 2) to base 10\nAnswer: -948069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 5*l = 6*u - 65, 3*u = 2*l + 50. Solve 4*o + f + 6 = 3*o, 2*o + 4*f = -u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -479 divided by 309796.\nAnswer: -479\/309796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26661 - 29221 = 2*v. Let q = -65941 - v. Round q to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10381\/3985 + 4\/797. Sort 0.4, 1, -0.1, n in decreasing order.\nAnswer: 1, 0.4, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 51778154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 4*o**2 + o + 3. Let c be l(-4). Let d be (-6)\/((c\/(-6))\/7). Suppose 0 = -d*r + 5*y + 346, -y - 90 = -r + 2*y. Round r to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 290 less than 2170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(65)*6 - sqrt(65))\/((sqrt(80) + sqrt(5))*-1).\nAnswer: -11*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of -s**5\/15 - s**4\/12 - 3*s**3 - 18*s**2. Let z = -8 + 5. Let v be h(z). Does -49 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -83, -141, -167, -149, -75, 67, 289, 603?\n\"Answer: 2*o**3 + 4*o**2 - 84*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - 9*t**2 + 4*t + 4. Let l be h(6). Let g = -44 - l. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 177322990 to the nearest integer?\nAnswer: 13316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110000 (base 2) to base 11.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 - -2) + 2 + 98. Let r = 53 + -33. What is the greatest common divisor of i and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 36, 13, -5, -1.\nAnswer: -5, -4, -1, 13, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -2*b + 15 + 3*b - 12 - 13. Let l be f(12). Solve t + 5 = l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) 2  (c) 1  (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-19)*b*b**(-2\/11)\/b assuming b is positive.\nAnswer: b**(-211\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s - 1. Let b(r) = 26*r**2. Calculate b(z(l)).\nAnswer: 104*l**2 - 104*l + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 132771 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 61164*-1\nAnswer: -61164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-327)\/(-436))\/((-6)\/(-100))*(-3)\/(6\/8).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 222993 is divided by 7964.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 24576 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 1141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -35 <= -106\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**3 - 9*b**2 + 12*b + 24. What is j(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-1)*-5*(-2)\/(-135).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + -63 + 82 - -31?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (425\/1700)\/(1\/(-72))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11573 + 17810. Suppose -22*p = -j - 7359. What are the prime factors of p?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 + z - 4. Suppose 2*a = 4 + 2. Let q be i(a). Suppose v**3 + 0*v - 9 + v**2 - v + q = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (1 - (5 - 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - -2)*250\/20. Let v = -7 - o. Calculate the common denominator of 110\/(-6)*v\/80 and -15\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a factor of 2220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 5 - 4 + (-1 - 1 + 3)*(-1 + 5 - 2) - 2 - 3 + 6)*((1 + 3 - 6)*(-3*w + 2*w + 3*w) + 27*w - 51*w + 7*w) to c*w + z and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0019191 rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2346465 litres to millilitres.\nAnswer: 234.6465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 208778 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1109872, -1109885, -1109922, -1109995, -1110116, -1110297, -1110550, -1110887?\nAnswer: -1111320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-44 + 15 + 8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q + 5. Let a(x) be the first derivative of -3 + 8*x + 3\/2*x**2. Let n be (-44)\/(-11) + 18\/(-2). Calculate n*a(b) + 8*j(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 3.48?\nAnswer: -6.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - -5*-1*sqrt(77)) + -5*1*sqrt(77))\/(-4*(sqrt(132)\/sqrt(48) - sqrt(891)*2)).\nAnswer: -4*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 108235725 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 + 1*(-1)\/(-1). Let p(n) = 2*n**2 - n - 2. Give p(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.8 + -4.56. Is v < 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 5 = -i. Let m = i - -11. Let p = -0.7 + 0.2. Which is the smallest value?  (a) m  (b) p  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 - 301 = -13*y. Suppose -20*b + y*b = 13. Let p(f) = -6 + b - 6. Let c(o) = -o**2 - 3*o - 4. Give c(d) + 5*p(d).\nAnswer: -d**2 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1172923366, 1172923365, 1172923364, 1172923363?\nAnswer: 1172923362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 1\/493037?\nAnswer: 1\/493037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 26 = 3*f, f - 5*i = 6*f + 60. Let q = f - -67. Calculate the remainder when 199 is divided by q.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9396623 or -9396642?\nAnswer: -9396623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 - 5*i - 5. Let f be b(-5). Suppose 81 + f = 2*y. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the second derivative of d**3\/2 - 3*d**2\/2 + 6*d. Let v be q(3). Suppose 44 = -4*j + v*j. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 279335 by -5.\nAnswer: -55867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 2*b**2 + 3*b - 4. Let l be r(2). Suppose 0 = 8*m + l - 26. Let d(j) = -2 + 0 + j**m + 2 + 8*j. Give d(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -2*t + 9. Suppose -5*h - 57 = -h - 3*r, -3*r - 87 = 4*h. Let c = h - -30. Solve 3*n = -2*n - 4*s + 3, -c = -t*n + s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 + 4*d**2 + d - 3. Let p be a(-3). Suppose 2*t - t = p. Solve l + 8 = -t*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -0.6, 9, -0.3, 155, 1\/3 in decreasing order.\nAnswer: 155, 9, 1\/3, -0.3, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**34*h*h**(-23))**(-6\/17))**49 assuming h is positive.\nAnswer: h**(-3822\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 - 12*q + 529. Give s(18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + a3?\nAnswer: 9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 (base 8) in base 2?\nAnswer: 100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w = -4*j - 2*w + 37, -4*j = 2*w - 2. Solve j*n = -2 - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 68925346 to the nearest integer?\nAnswer: 8302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*d - 38*m + 34*m = -18, -d - 5 = -m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11673 is divided by 649.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20134 is divided by 347?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9968)\/(-1780))\/(1\/15*3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 + 1. Let r(v) = -76*v**3 + 3. Give -3*f(k) + r(k).\nAnswer: -79*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -20*a**2 + 7 + 24*a + 18*a - 10*a**2 + 35*a**2 - 63*a. Give g(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of j**7\/840 - j**6\/120 + j**5\/60 + j**4\/12 - 3*j**3 + 8. Let i(s) be the third derivative of h(s). What is i(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*g - 5*g - 4000. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.039 + -0.139. What is the nearest to d in 1, -2, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 15\/(-9)*24\/(-20). Let k = 13 - 8. Suppose -k*g + a*g = -30. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of 6*z**2 - 8*z + 8. Differentiate g(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/10)\/(-6)*-2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -24022*g**3 + 5*g**2 + 25*g + 22. Is 14 a factor of w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 124515709 divided by 53\nAnswer: 2349353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 61*(-59)\/(-1062)*-4*18\/(-4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*w + 3*w + 3*w)*(-3 + 2 + 2) + 5380*w + 6151*w - 1487*w to c*w + s and give c.\nAnswer: 10046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 229576609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/22 and -141\/71390.\nAnswer: 71390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 + 516?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 875 = s + 29*v - 31*v, 2*s + v - 1755 = 0. Suppose -883*m + 15198 = -s*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 5*y + 52 = -i, 3*i + y = 86. Suppose 41 = u - i. Suppose 6*x = 4*x + u. 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 (3 + (-1*sqrt(272) + 3)*-5 + (4 + (sqrt(272)*1 - sqrt(272)) - (sqrt(272) + 0 + sqrt(272) + 0)))**2.\nAnswer: -192*sqrt(17) + 2512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 213 - -202. Suppose 7*w - g = -1381. Which is smaller: w or -137?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 17.950959 to 1 dp.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*s**2 + 19*s - 19*s - 14*s**3 to w*s + q + u*s**2 + l*s**3 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yti. What is prob of picking 1 t and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + -2. Let j be -1*3\/n*26. Let q = j + -6. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -3 - 2379*x + 791*x - 18 + 790*x + 789*x. Determine t(6).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h - h + 0*h + (-1 + 1 + 2)*(7*h + 4*h - 8*h) - 1 + 1 - h - h + h + 2*h - 2*h - 2 + 2 + (2 + 3 - 4)*(-3*h + h + 0*h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 g, and 1 c when three letters picked without replacement from {b: 4, y: 4, c: 6, t: 1, z: 2, g: 3}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 11601688 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*h - 5*h + 4*g, -2*h - 2*g - 24 = 0. Let s be (-36)\/27*(-2)\/(-8)*h. What is the second smallest value in -2, s, 2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 26, 0.3, -2\/9, -1, -181, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 2\/377  (b) 3  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 536 + -526. Solve -4*x - 2 = -r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 327578431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/9 - 12\/(-3).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from reprrrreercprrrrcp.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 + 4*t**2 + 7*t + 6. Let a be v(-4). Let b = a - -51. Let y = -45 - -49. Solve s - y = 0, 2*g + 4*s = b - 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 11 = -g, 0*g = -6*t + g + 29 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1303.4 + -1527. Let u = -224 - a. Let w = 10 - 6. What is the closest to -0.1 in w, u, 1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1614 - 1614 + 2361978*r.\nAnswer: 2361978*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 376 divide 1014063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 43*c. Let s(p) = 4*p. Determine s(h(m)).\nAnswer: 172*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 17, 13\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -173421 + -231.3.\nAnswer: -173652.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 42 = 2*h - 2*d, d + 21 = h. Let b(f) = 33 + 32*f - h*f - 14*f. Is b(8) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46381?\nAnswer: 46381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 + 20*p - 37. What is s(21)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -5) + (-6 - 0) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 73549 divided by 553?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.3093 + -54.4827. Let o = w + 55. Let z = -0.20799901 + o. Round z to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of f**5\/40 + f**4\/24 + f**3\/6 - 4*f**2. Let k(t) be the first derivative of q(t). What is the first derivative of k(a) wrt a?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26863393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31 + -18 + 32 + -71.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from yyyyyyvgyggcyyycycyy?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k - 0 + 4. What is the smallest common multiple of k and 194?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 478*w**2 + 9*w + 2. What are the prime factors of q(-1)?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5058 divided by -3?\nAnswer: -1686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 - 0.951.\nAnswer: -5.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**3 + 14*f**2 + 16*f - 13. Let v be h(15). Let l(m) = m**v - 4 - m + 3*m - m + 5. Let t be l(-2). Solve -10 = t*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7 and -3871.\nAnswer: -27097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 + -4. Let c(w) = 641 - 1287 + 644 - w**2 + 296*w - 295*w. What is c(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*m - 1)*(19*m - 8*m + 23*m + (2*m - 4*m - m)*(3 - 4 + 0) - 4*m + 4*m + 2*m).\nAnswer: -78*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 142219 - 49212. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 641 a factor of 305005748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + 5. Let m(r) = -r**3 + 27*r**2 - 25*r - 26. Let b be m(26). Suppose 19*s - 200 + 10 = b. Is s < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 8 - 2 = -5*d, -g - 18 = -5*d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-42)\/(-14))\/(-1*1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.14 and 0.343?\nAnswer: 0.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-33)\/616*7)\/((-903)\/344).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-440*b - 435*b + 1318*b + 22126*b**2 - 443*b)*(-3*b**3 + 2*b**3 + 0*b**3).\nAnswer: -22126*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 34 + -26. Suppose 2*i - 48 + c = 0. Let k be 13 + -1 - (2 - 0). Calculate the highest common factor of i and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 13) to base 10\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*d + 154 = 22*d. Is 35 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 25 = -8*k. Let s(w) = w**3 - 6*w**2 + 6*w - 1. Let t be s(5). Is t <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28 - 25. Is h < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q + q - 2*q**2)*(7*q**2 - 4*q**2 + 7*q**2) + 0*q**4 - 39*q**4 - 15*q**4 + (-63*q + 9*q**2 + 63*q)*(-4*q**2 - 3*q**2 + 5*q**2).\nAnswer: -92*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49455922 is divided by 4132?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, -1.5, -0.15, 0 in descending order.\nAnswer: 4, 0, -0.15, -1, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 9 = -5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 t when three letters picked without replacement from {z: 2, x: 3, t: 3, s: 1, p: 9}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x, 1 p, and 1 j when four letters picked without replacement from xjxxxxxjpxxdjppxxpx.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-39)\/(-585)*6\/14)\/(644\/1288)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 - (-8)\/(-20) - 91\/35. Let o(q) = -17*q + 16. Let y be o(z). What is the greatest common factor of y and 550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81739 = 4*o - 5*b, 0 = 2*o - 16*b + 11*b - 40877. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - ((-6 + 11 - 0) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*m = 3*m + 36*m + 40 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4b + 2135ec?\nAnswer: 213637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of 11*j**4\/12 + 2*j**3\/3 + 7*j**2\/2 + 9*j. Let u(s) = -6*s**2 - 2*s - 4. What is -4*g(o) - 7*u(o)?\nAnswer: -2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 26 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 11173.41 and -5.\nAnswer: -55867.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 404.7131l in millilitres?\nAnswer: 404713.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 419148 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*r + 42*r = -185. Suppose -3*z + 0*z = -5*x - 299, -2*z + 174 = 3*x. Let p = r + z. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -380 = 12*b - 50*b. Put 7, -2, b in decreasing order.\nAnswer: b, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*b = -96 + 105 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 17954 = -86*f + 91*f, 4*f = -3*q + 26938. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 + 12*n - 6. Let c be a(-13). Suppose -c*k = -4*k. Let q be 5 - 0\/(-2 + 0). Solve k = q*u - 7*u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 AM and 1:50 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 - (1 - -10 - 4). Let c = 10 + l. Suppose -4*b = d - 261, -c*b - 6*d = -d - 183. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(1\/9))\/g**(-1)*(g\/g**0)**22 assuming g is positive.\nAnswer: g**(215\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of -q**5\/6 - 11*q**3\/3 - 7*q**2 - 189. Let g = -10 + 17. Let l(m) = 7*m**2 + 15. What is g*l(a) + 5*b(a)?\nAnswer: -a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 - -13. Let s = f + -3. Let h(j) = 1 - 2 + 3*j - 2 - 2*j**2. What is h(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6926.80514822 + -0.09405178. Let z = s - -6903.9. Let r = -23 - z. What is r rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.36 + 0.46. Which is the second smallest value?  (a) -1\/4  (b) -2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20305.81ml in litres?\nAnswer: 20.30581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(52)\/sqrt(4) - (-5 + sqrt(52)))*-4 + ((sqrt(130) + sqrt(130)*-1)*2 - sqrt(130))\/(-3*sqrt(250)))**2.\nAnswer: -3368*sqrt(13)\/3 + 2394133\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 220193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -450, 0, 0.018, 2?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 5*i**3 - 716*i**2 + 699*i - 4. Let t(n) = 30*n**3 - 4300*n**2 + 4195*n - 25. Let c(a) = 25*k(a) - 4*t(a). Solve c(p) = 0 for p.\nAnswer: 0, 1, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by 5981.\nAnswer: -6\/5981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 36 - 36. Suppose -5*t + 216 = 3*z + z, -2*z - 3*t + 108 = l. Let a be 12\/(-1)*(-8)\/8. Calculate the greatest common factor of z and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14903\/18 - -821. Calculate the common denominator of 113\/6 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 64*s - 60*s - 33992. Suppose 5*n = -9*n + s. What are the prime factors of n?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - 1. Suppose t + 17 = -5*g, -2*t = t + 2*g + 12. Sort t, l, -3 in ascending order.\nAnswer: -3, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 + -27 + -9 - (-12 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 463387465?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -1 + 0 + 4 + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of -r**6\/12 - r**5\/30 + r**3\/6 + 4*r**2. Let w be u(-1). Let z be -3*((-25)\/w - -2). Which is smaller: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 6:44 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of 2*g**3\/3 + 1. Let r(n) = 0*n**2 + 0*n**2 - 5*n**2. What is o(r(x))?\nAnswer: 50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4732 and 48776?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**3 + x**3 - x**3)*(31*x**2 + 23*x**2 + 8*x**2).\nAnswer: -62*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -3*p + 4. Let t = 57142 - 57120. Calculate the remainder when y(-7) is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 12:35 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1\/4))**(-40)\/(k**(-5\/6)*k*k*k*k**(1\/7)))**(2\/17) assuming k is positive.\nAnswer: k**(19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -212110?\nAnswer: 212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 29*30\/(-110) - -7?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 + (-4)\/14)*-7. Let j(m) be the third derivative of 1\/48*m**4 + 1\/24*m**3 + 1\/240*m**5 + 0 + 2*m**h + 0*m. Factor j(d).\nAnswer: (d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 4*b**2 + 8*b - 9. Determine o(7).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 667670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.6*192040.\nAnswer: 115224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 329245436 to the nearest integer?\nAnswer: 18145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-5 + (3*(sqrt(13) + -1) - (1 + 1*sqrt(13)))*1)**2.\nAnswer: -36*sqrt(13) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1100) - (sqrt(1100)*-1)**2*4.\nAnswer: -4400 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/(-48) - 25\/(-6). Sort t, -1, 2 in decreasing order.\nAnswer: t, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -553 in -4, -1\/3, -3, -3\/2, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 2 + -6)\/1. Let m(k) = 6*k**2 + 17*k + 14. Let l(c) = -2*c**2 - 6*c - 5. What is q*m(h) - 17*l(h)?\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -60  (b) -0.3  (c) 272  (d) 0.5  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -6*n. Let p(w) be the first derivative of 3*w**2\/2 + 4. Determine h(p(r)).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 1259 = 3*z - 3*o, 0 = 2*z + 5*o - 851. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 153 - 86. What is the third derivative of -3*i + s*i**2 + 9*i**3 - 46*i**2 - 134*i**3 wrt i?\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 983*t - 978*t - 30 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2080360402 + 2080360402 - 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1023, 2\/13, -1\/9, 13573?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 157 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-9)\/18)\/(3\/(-2) - -1). Let u(i) be the first derivative of i**3 - b + 0*i + 0*i**4 + 0*i**2 - 1\/5*i**5. Find the third derivative of u(t) wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 3*i - 39, 4*z + 26*i = 25*i + 4. Solve -3*l = z*p - 24, p + 3*l - 14 = 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4230 + -5?\nAnswer: -4235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*w - 5*w + 10*w**2 - w + w + w**2 + (0*w - 7*w + 3*w)*(3 - 3 + w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25072 is divided by 55.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 427, -1, -2, 1, 3.\nAnswer: -2, -1, 1, 3, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 6, h: 2, b: 3, n: 1}. Give prob of sequence bh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-13)\/((-195)\/10)*(-9)\/2*-31. Sort b, -1, -3, -5, 3 in ascending order.\nAnswer: -5, -3, -1, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 133267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 2 s when four letters picked without replacement from ttstttttstttt.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 + 4*j**2 - 4*j + 4. Let y be o(-5). Let m(r) = 2*r**2 + r. Calculate m(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 16441 - 402?\nAnswer: 16036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*r - 2*r + 5*u - 316, 3*r + 520 = -4*u. What is the hundreds digit of (-1 + 0)\/((-8)\/(-24)) - r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5*(3 + (-8)\/(-20)). Suppose p = -4*v + 1. Sort v, -3, -2 in increasing order.\nAnswer: v, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114 = 38*n - 1064. Solve 7*l - 66 + n = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -102*x + 82. Let w be f(-7). Suppose -2227 = -2*s + 4*a - 635, -s - 2*a = -w. Round s to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2 - j. Suppose v - 5*a - 17 = -3*v, 0 = 2*v - a - 7. Let b be q(v). Calculate the remainder when 7 is divided by (-32)\/b*(-3)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1895438 millennia to decades.\nAnswer: 18.95438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/10 + (-552)\/(-120). Let j be a\/10 - (2 + 24116\/(-10)). Round j to the nearest 100.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -3\/5, -2, -17, -3\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g**2\/7 - 88824*g\/7 - 986212872\/7 = 0. What is g?\nAnswer: -22206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 42547058969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 36.2558\nAnswer: 145.0232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-7470)\/12)\/(2\/(-4))?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the third derivative of -p**4\/8 + p**3\/2 - 3*p**2. List the prime factors of m(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 982\/28 - 127\/1778\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -117 minus -52?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 4. Calculate the remainder when 17 + 4\/(0 + y) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 30.56256 to two decimal places.\nAnswer: 30.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -2895, -0.4, 91\/8, -1 in descending order.\nAnswer: 91\/8, -0.4, -1, -2895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -3*c**2 + 1950*c + 3906. Give k(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -3*s**2 + 5*s - 11. Let v(a) = 16*a**2 - 26*a + 57. Let z(f) = -11*r(f) - 2*v(f). Let p be z(3). Solve p*i - 6 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-5\/4)*d**(2\/9)*((d\/(d\/(d**8*d)))\/d)\/d**(-6\/7)*((d*d\/(d*d**4*d)*d)**28)**(9\/10) assuming d is positive.\nAnswer: d**(-85391\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o**2 - 155540*o - 3024086450 = 0. What is o?\nAnswer: -38885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 2*q - 6, q + 5*h - 3 = -3*q. Is (-594)\/(-44) - q\/2 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (45\/12)\/((-3)\/(-8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 4*k - 58, 88*v - 24 = -2*k + 89*v. Calculate the remainder when 1231 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11707 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 34972209 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16515377 to the nearest integer?\nAnswer: 4064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6792002?\nAnswer: 2, 7, 71, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 2*i**3 + i**2 + 3*i + 51. Suppose -8*o = -5*o. Is l(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -25 - 3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -173943, -173937, -173933, -173931, -173931, -173933?\nAnswer: -173937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence in when two letters picked without replacement from {i: 1, e: 1, n: 2, x: 1, v: 1, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*m - 18*m - 400 = 0. Suppose -3*r = -6*r + 2*i + m, i + 69 = 5*r. Suppose 2 = -4*j + 26. Calculate the smallest common multiple of j and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1026598 and 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 3 r when four letters picked without replacement from {p: 5, h: 2, u: 4, r: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -2*j + 1. Let s = -0.43 - 0.07. Which is the fourth biggest value?  (a) j  (b) 0.3  (c) -0.4  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1)\/10*(-16)\/(416\/1222) and -23\/330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m. Let j(w) = 3*w. Let l(p) = 8*a(p) - 3*j(p). Let v be l(0). Suppose -c + 1 = -v. Sort -1, c, 3 in descending order.\nAnswer: 3, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14685*i**4 + 5*i**5 - 33 + 14675*i**4 + 6*i**2 - 29359*i**4 + (2*i**4 + 3*i**4 - 3*i**4)*(4*i - 6*i + 4*i).\nAnswer: 9*i**5 + i**4 + 6*i**2 - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 139 + 40. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-9)\/(9\/(-20)) + 3. Suppose 2*r = -t + 299. Suppose m + 3*w = -2*m + r, -w + 128 = 3*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -4175*x + 3509. Let j(u) = -1387*u + 1170. Let d(z) = -17*j(z) + 6*w(z). What is the derivative of d(h) wrt h?\nAnswer: -1471","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 790 divide 2317070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 4*t)*(-2 - 5 + 4)*(6 - 2 - 3).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 596681 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*3\/12)\/((-105)\/84).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -3*r + 19. Give b(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 24 - -185007026?\nAnswer: 185007051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 48200904*i**5*y - 2*i**4*y**2 - 4*i**2*y**2 + 2*i**2*y + 719*i + 23*y**2 + 1 wrt i.\nAnswer: 2892054240*i**2*y - 48*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3*x + 129 = 5*s, -4*x = -s + 45. Let y = s + 168. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -1878*u - 133. Does 54 divide g(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 - ((-952)\/40 + -3)*-4*3\/(-24)\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5 + 62*u - 60*u + 2 - 2*u**3 - 20*u**2 + 13.\nAnswer: -2*(u - 1)*(u + 1)*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 687771.\nAnswer: 3, 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = j + n + 14, 5*j - 4*n + 15 = 0. Is 5 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -52.3 + 52. Let a be (1\/2)\/(-2 + 1). Is a at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 70 and 4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -35*i**3 - 28*i**2 + 28*i. Suppose -10*f + 17 = -263. Let s(d) = 4*d**3 + 3*d**2 - 3*d. Determine f*s(r) + 3*m(r).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (0 + 0) - ((121 - 131) + -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s**2. Let l(b) = 1296*b**2. Determine i(l(u)).\nAnswer: -3359232*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 12907 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5760\/270*(-9)\/(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(-4) - (-865)\/20. Let f = -44 + b. Suppose 5*p - 3*d - 215 - 17 = f, 3*p = -5*d + 112. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the first derivative of h**4 + 8*h**3\/3 - 8*h**2 - 32*h - 12. Factor d(w).\nAnswer: 4*(w - 2)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 50 = 330. Suppose s = -3*j + 97, -1786*s - j = -1783*s - 331. Calculate the greatest common divisor of s and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 2*o - 14, -o + 22 = -f + 4*o. Let g be (-6)\/(-5)*(-60)\/(-36) + f. Solve -2*m + 3*t - 1 = 0, g = -4*m + 7*t - 3*t - 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -266 (base 9) to base 4.\nAnswer: -3132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 155\/4070616 and 47\/8141232.\nAnswer: 8141232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/(5\/60*3). Suppose -y + 25 = 3*x. Let g be 14\/x + 15\/45. Solve -5*q + p = 3*p + 9, 3*q = -g*p - 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52031 bigger than 52031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 67*f - 42. Is d(10) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1000111111 (base 2) to base 5\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1\/(-9))\/(1\/(-2)). Let n be 120\/(-8) + 21 - (-104)\/(-18). Solve -m*w**2 + n*w + 4\/9 = 0 for w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/((6\/23)\/2). Suppose 624 = 29*y - h*y. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 2)*(3 + 3 - 7 + 3*h) + (3*h + 3*h - 5*h)*(33 - 225 - 150).\nAnswer: -336*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 68*r + 1454. Calculate l(-21).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 517355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -2\/27, 0.0522, 1\/15, -5?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - 11000101?\nAnswer: -11000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*((m\/((m*m**(-2\/9))\/m))\/m)\/m)\/(m**1\/m*m))\/((m*m**1*m*m)\/m)**(38\/3))**24 assuming m is positive.\nAnswer: m**(-2792\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -199\/450 + 11\/50. What is the nearest to v in -0.1, 0.08, -0.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1226794775 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = 0, -3*n + 4*w - 9912 = -2*n - 9904 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 2:12 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - (1 - -33) - -21) + -37?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 + 236*u**2 - 1161*u + 10610. Determine w(-241).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.39 + -6.61. What is the nearest to 1 in 6\/7, g, 4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 2*s + 4*s = 189, -36 = h - s. Let i be (-193)\/(-13) + 228\/h + 6. Solve -3*a + 0*a = i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = 5*g - 3*y, -113*y = -g - 111*y + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 6*v**2 - 707*v + 1171. Calculate m(119).\nAnswer: 2004","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 + 3*j - 5. Suppose -2*f = -n + 4, -9 - 19 = 2*f + 5*n. Let p(u) = -u + 1. Let m(x) = f*p(x) - g(x). Let h(y) = y**2 + y. What is -h(b) + m(b)?\nAnswer: -2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -7*p**3 - 11*p**2 + p - 3. Let x(q) = -11*q**3 - 17*q**2 + 2*q - 4. Calculate 8*s(b) - 5*x(b).\nAnswer: -b**3 - 3*b**2 - 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 41027*x**4 - 2669*x**2 + 5*x.\nAnswer: 984648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -328979.208 to the nearest ten thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x**5\/21 - 71674*x**4\/21 - 45931444*x**3\/3 - 4007309056*x**2\/21 + 320691344*x\/3 + 297723062\/3 = 0. Calculate x.\nAnswer: -8953, -13, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p - 4. Let w(m) = -m - 1. Suppose -7*d = -13*d - 6. Let v(a) = d*n(a) - w(a). Determine v(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of v**5\/60 - v**4\/4 + v**3\/3 + 3*v**2. Suppose -d = -5*d - 12. Let i be 2*d\/1*-1. Calculate q(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of -3*k**5\/160 - k**4\/16 + 3*k**3\/16 + 157*k - 2. Solve i(g) = 0 for g.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 - (8\/2 + 4). Let c = 10 + g. Suppose -c*i - 16 = -6*i. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/28 + (-48)\/70. Is j >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/49?  (a) -4\/9  (b) 1\/4  (c) 2\/13  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10001000111 (base 2) in base 7?\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1222 + 11322?\nAnswer: 13044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32.14 - 0.14. Let w = o + -31.85. Which is the nearest to w?  (a) -0.4  (b) 5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 0*s - 87 = 0. Suppose -2*m - 77 = -2*g + 93, g = -5*m + 115. Let q = g - s. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-18)\/(-27))\/((-6573)\/(-3285) - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1.74  (b) 0.3  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -2*z + 2. Let c(m) = m**3 - 2*m + 4. Let h be c(0). Let d(j) = -4*j + h*j + j + 0*j. Let k be 6\/12*(-36)\/(-18). Determine k*y(g) + 5*d(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 5, 34, -78, -5, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 0.4, -0.1, 2, 10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - 11001?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*q + 2*q + 3*w + 12, w = 0. Suppose 192 = i + q*i. Calculate the remainder when i is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22 + (42 + -30 - (9 + -1 + 0)) - 8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -276624 divided by -408?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - (-495)\/(-27) - (-8)\/24?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -a + 21, -2*o = -3*a - 2*a + 73. Suppose 2*l - 4 = -2*f, -4*f + a = -l - 10. Suppose 19 = c - 1. Calculate the greatest common factor of c and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k**2 - 2*k**3 - 4*k**2)*((0 - k + 0)*(-123 + 254*k + 123) + 6*k**2 - k**2 - 4*k**2).\nAnswer: 506*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.397 * -34800.\nAnswer: -13815.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of 4*m**5\/35 - 19*m**4\/14 + 80*m**3\/21 + 25*m**2\/7 + 49. Factor r(z).\nAnswer: 2*z*(z - 5)**2*(2*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2533355 (base 10) to base 12.\nAnswer: -a2208b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 523739 is divided by 58190?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1054\/5 - 212. What is the nearest to -0.1 in 1\/2, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6a01 (base 12) to base 14.\nAnswer: -4437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of d**6*p**2 - 77*d**5*p**3 - 10*d**2*p**3 + d**2 wrt d?\nAnswer: 120*d**3*p**2 - 4620*d**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q**2 + 34*q + 23. Let f be a(-16). Let t(l) = l**3 + 9*l**2 + l + 12. Let r be t(f). Solve 0 = 2*x + 2*x + r*j - 14, -x - 3 = 4*j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/3 of a day in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001894 to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 701079829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - -42?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(1 + sqrt(72) + -1 + 2*sqrt(72)*-4 + (-2*-1*sqrt(72) - 6*(sqrt(72) + (sqrt(72) - -2*sqrt(72)) + sqrt(72)))))**2.\nAnswer: 3175200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0027462253 rounded to 6 decimal places?\nAnswer: -0.002746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 13, w: 1, m: 3}. What is prob of picking 1 m and 1 w?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 365 is divided by 93.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -530.998918648 take away -2?\nAnswer: -528.998918648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((4*((sqrt(187) - (sqrt(187) + -2*sqrt(187) + sqrt(187) + sqrt(187))) + sqrt(187)))\/((sqrt(154)\/sqrt(7))\/sqrt(2)))**2.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -157, 7962, -4 in descending order.\nAnswer: 7962, -4, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2100 and 4557696.\nAnswer: 797596800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 196 and 490.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/4 + 4560\/384 and 43\/148?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 8*r - 20 = 0. Let t be 7\/(-2*(-2)\/r). Solve -3*d = -4*q - 29, 4*q + t = -d + 2*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*d - 16*d = -3*b - 33*d + 33, -d = 4*b - 23 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -242565*h**5 - 288626*h**2.\nAnswer: -14553900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(-5*5\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12 times -4618051\nAnswer: -55416612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/8*(-17)\/51?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 307 - 115. Let k = x - 196. Let p = 3 + -2.6. Sort k, 4, -2\/7, p in decreasing order.\nAnswer: 4, p, -2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 102, 362, -49, 4, 1.\nAnswer: -49, 1, 4, 102, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.44 less than -0.121?\nAnswer: -0.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2940215088?\nAnswer: 2, 3, 31, 137, 14423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (471 - 241 - 259)*(-5*a + 0*a + 3*a)*(-3*a + 2*a + 3*a).\nAnswer: 116*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -30*j + 1086. Let r(c) = -3*c + 104. Let u(l) = -21*r(l) + 2*v(l). Determine u(19).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 - 4*1\/((-4)\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 2*j = 0. Let t be 4 - (0 - (-1 + j)). Solve -5*v = 5*d - 5, 2*d + 5*v = -1 + t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 3*d. Let o(q) = -7*q + 4. Let n(x) = -112*x + 63. Let r(k) = 4*n(k) - 63*o(k). Calculate r(y(f)).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -2*i - 0*i + 215, -3*s - 118 = i. Let j = -27 - s. Suppose 3*x + 113 = 5*n, x = 3*x + 2. Calculate the smallest common multiple of n and j.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(-9) + (-2)\/(-6). Let n = -14660 + 14661. What is the closest to d in -1\/7, 0.3, n?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + -1*sqrt(396))*2 - (-1*-2*sqrt(275) + sqrt(275) + 0))**2.\nAnswer: -324*sqrt(11) + 8055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the second derivative of r**6\/15 - r**5\/5 + r**4\/6 + 7*r. Factor t(x).\nAnswer: 2*x**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 43, 156\/11, -2\/7, 1.09, -5.\nAnswer: -5, -2\/7, 1.09, 156\/11, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 274 = -286. Sort v, -102, 4, -5.\nAnswer: -102, -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 211 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -20*l**3 + 5*l**2 - 27. Let x(z) = 50*z**3 - 12*z**2 + 68. Let f(o) = -12*r(o) - 5*x(o). What is the derivative of f(i) wrt i?\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54256182.\nAnswer: 2, 3, 1489, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*f - 22*f + v + 252, -3*v = -3. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-7))\/(9\/42)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3850535 divided by 65.\nAnswer: 59239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d - 6*d + 3*k = 270, -5*d + 452 = 3*k. Suppose 0 = 5*c + d - 106. Suppose -2*y - 3*b + 17 = 0, -2*b + 6*b + 100 = 5*y. Solve v - y = -c*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -122 - -1222?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 696 a factor of 90069863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -12 or -42214\/3565?\nAnswer: -42214\/3565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 975975636.\nAnswer: 2, 3, 81331303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -83, -756, -2583, -6140, -12003?\n\"Answer: -96*z**3 - z**2 + 2*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -7. Suppose -2*n - 3*n - 45 = -2*q, s*n - 30 = -4*q. Let c be 12\/(-10)*q\/21. What is the smallest value in 5, -2\/3, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 + 3*t + 97. Give z(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (-4 - -1 - -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1119, 3\/7, 3.6, 8\/3, -0.3, -4?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 201711 and 49629?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -1\/12, 1\/3, 0.5, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 30 or 245\/8?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) -6  (c) 9  (d) 4  (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/2 and 113\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dagl when four letters picked without replacement from {l: 1, c: 1, d: 1, g: 1, a: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the first derivative of k**5\/120 + 5*k**3 + 9. Let x(a) be the third derivative of n(a). Let b(c) = 11*c**2. Give b(x(g)).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 2316.079 to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 594 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.5 - 3.5. Let p = -48737 - -48736. Let j = 5 - 3. Which is the nearest to j?  (a) i  (b) 0.3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 903 divide 5241012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 89778 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 + (-26 - 14) + 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6247 is divided by 6242.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -104, 2\/3909, 0, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 + 504*f - 19974. Determine l(43).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -735 + 1205. Solve -27*t = 67*t + r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - 5. Calculate the least common multiple of 1 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 + 3 - 5)\/2. Let k = 0.05 + -0.45. What is the nearest to 2 in 0, k, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.08 + 2.06. Let l = a + -0.980964. What is l rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 - 4. Let j be x(0). Let w be j\/(-26) - (-63)\/13. Suppose -25 = w*o, -26 = -3*m - 4*o + 77. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -40 - 44\/(-11) - -2. Which is the closest to r?  (a) 0.01  (b) 1  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 + 51*a**2 - 321*a - 4. Does 2 divide y(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 9*w**3 + 4*w**2 + w + 1. Let o be u(3). Suppose -4*z + o = z + 4*f, 4*z = 5*f + 251. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6256 and 12346584?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -358, -894, -1428, -1960, -2490?\n\"Answer: h**2 - 539*h + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 3436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/13, 2\/17, -4\/5, 0, -18 in descending order.\nAnswer: 4\/13, 2\/17, 0, -4\/5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n + 3. Let j(f) = -622*f + 7. Calculate 3*j(c) - 6*s(c).\nAnswer: -1860*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + d - 15 = 0, -4437*n - 2*d = -4439*n - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 1. Let p(n) = 2*n + 2. Let x(l) = -l**2 - 11*l - 10. Let i = 86 + -74. Suppose -i*a + 55 = -77. Give a*p(w) + u*x(w).\nAnswer: -2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*9\/((-27)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = -4*r - 2*g, -3*r + 2*g = 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 4 + 0)*(n + 4 - 4) - 3*n + 5*n + 0*n + 28*n + 14*n - 14*n to q*n + a and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eag when three letters picked without replacement from abbrgbbgiiei?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the third derivative of 477*a**6\/40 - 171*a**3 - 860*a**2. What is the derivative of r(x) wrt x?\nAnswer: 4293*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = -3*c + 3, -9 = -j - 41*c + 44*c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 15 - 3, 7 = z - u. Suppose 17 + 10 = -z*s. Let n = 0 - s. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -88*m**4*p**2 + 7*m**2*p**2 + 1442*p**2 wrt m?\nAnswer: -352*m**3*p**2 + 14*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 327367 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 - 721.9.\nAnswer: -721.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 PM and 12:55 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -1091900000 to the nearest one million.\nAnswer: -1092000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 3. Let a = 52 + -50. Let u be (1 - -3) + -8 + a - -4. Put h, -3, u in descending order.\nAnswer: u, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -330 * 4.\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 AM and 8:31 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2*(-2)\/(-6))\/(16\/120). Let c be (-4747)\/282 + j\/3. Is -15 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 2. Calculate the remainder when -5 - -33 - (m + -1) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*z - 6468 = -9156 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 482207 and 26609.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -4\/19, 0, 2615.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -405 - -440.7. Let h = -36.2 + q. What is the second biggest value in -17, 4\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*q**4 + q**3 - 3*q**2 - 18*q**4 - 11*q**4 + 3*q + 42*q**4 as l*q**3 + b*q**4 + x*q + t*q**2 + n and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 AM and 3:39 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 129 - 0. What is the highest common divisor of q and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-3\/14)*m\/m**(-30) assuming m is positive.\nAnswer: m**(431\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -2*f**2\/11 + 360*f\/11 - 16200\/11 = 0.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 + y**2 - 5*y + 4. Suppose 0 = 4*i - 4, -4*k + 7*i - 5*i = -6. Calculate o(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1164?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -2199709?\nAnswer: -5\/2199709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -705497 and 491817016?\nAnswer: 492522513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 265 = -405. Let g = f + -94. Round g to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -777  (c) 291.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 68, 143, 218, 293, 368, 443?\n\"Answer: 75*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 - 6*g**2 - 5*g - 6. Let u be t(7). Let d = -2 + u. 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: What is -9515729.427088 less than 0.3?\nAnswer: 9515729.727088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/88)\/3*4\/(-1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2\/4 + 25*u\/4 + 27\/2.\nAnswer: -(u - 27)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 39 - 40. Let b = 0 + 5. What is the nearest to m in 2\/9, b, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 81 - 79. Let h be (3 + (1404 - i) - 3) + 2. What is the common denominator of 4 - (h\/(-64))\/(-3) - -4 and 5\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 (base 8) in base 12?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2534 - 543. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (2*sqrt(1900) - sqrt(1900)))**2 + 0 + sqrt(1900) + -1 + (sqrt(133)\/sqrt(7)*-2 + sqrt(19) + 3 + sqrt(19)*5)**2.\nAnswer: 134*sqrt(19) + 2237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 799 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of -17*r**4\/4 - r**3\/3 + r**2\/2 + 1. Let o be l(2). Let b = o + 253. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14.1 + -11. Let p = c + 0.1. Round p to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 12*m**5 + 0*m**4 + 8*m**4 + 7*m**3 - 40*m**2 - 19*m**3 + 32*m**2 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4 - (10\/5 + -102). Let m = f - 18. Suppose 12*c - m = -2. What is the lowest common multiple of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 508.4 + -572. Let h = -77 - u. Let b = h - -13.40114. Round b to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -149, -610, -1377, -2456, -3853, -5574, -7625?\nAnswer: -10012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6.6 - -17. Let v = 10 - m. Let i = -457.6 + 457.6. Which is the second smallest value?  (a) -0.01  (b) v  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30874116 divided by 2374932?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k**3 + 16*k**2 + 5*k. Let b(j) = -46*j - 224. Let l be b(-5). Let u(c) = 2*c**3 + 17*c**2 + 6*c. What is l*y(x) - 5*u(x)?\nAnswer: 2*x**3 + 11*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3106433706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 201\/20 + -54\/5. Suppose -4*v = 0, -2*v = -3*b - 6*v + 9. Let p be (-12)\/(-8)*2\/(-7). Put p, b, y in descending order.\nAnswer: b, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2528, 2436, 2276, 2042, 1728, 1328, 836, 246?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**18*l**(-10\/9)\/l)\/(l\/(l\/(l*l**(5\/9)))*l**22*l) assuming l is positive.\nAnswer: l**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 70 and 19197738?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 68377.2 - 68377.07999975. Let u = n - 0.12. Round u to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21 + 10. Let s(x) = 17*x**3 - 17*x**2 - 14*x. Let h(j) = -6*j**3 + 6*j**2 + 5*j. Determine y*h(t) - 4*s(t).\nAnswer: -2*t**3 + 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -540 + 539.99527. Round y to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 99671 and 122672.\nAnswer: 1594736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + -4 - (-16 + (58 - 28))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*g + 10*g - 2*w + 13, -4*g - 3*w + 11 = 0. Let b(u) = -u**2 + u - 1. Let y(d) = -5*d**3 + 7*d**2 - 6*d + 6. Determine g*y(l) - 6*b(l).\nAnswer: 5*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-36)\/(-24))\/((-3)\/(-4)). Suppose 0 = -a + 3*a. Is d at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -813*k + 505 = -290 - 18 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and -714972.8?\nAnswer: 3574864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 14) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 613 a factor of 2816122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5957833\/198 + 30090. What is the nearest to 1 in 0.5, -1\/2, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10943 and -0.01.\nAnswer: 109.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 16 = 11*k - 9*k, 2*g - 2*k + 6 = 0. Let z(a) = a + 3. Let m be z(0). Solve 0 = 4*u - 8, -m*c - g*u + u = -5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 4\/((-3)\/(-39) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 4*q - 11, -2*k = -2*q - 0*q + 26. Suppose 5*l + 56 = l. Let t = l - k. Put -4, t, 5 in descending order.\nAnswer: 5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 - 21*f**2 + 38*f - 8. Let n be y(19). Let c be ((-5)\/(45\/6))\/(n\/48). Solve 1 = v + c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v - 51 = -591. Let q be (v\/50)\/(6\/20). Solve -q*r = 3*x - 6, -5*x + 3*r + 8 = -2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -3*z**2 + 153*z - 293. Let p be u(49). Put 0.11, p, 18 in increasing order.\nAnswer: 0.11, p, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 852532.8 years to centuries.\nAnswer: 8525.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*x = -44, 73*x = -4*h - 73*x + 148*x + 30 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 4*i - 21. Let m be z(6). Let t be (20\/(-8))\/(1\/(-2)). Let k be ((-2)\/5)\/1*(-5 + 0). Solve -m*j = k*j - t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15548014?\nAnswer: 2, 7774007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 2 = 5*b, 2*z = 5*b + 2 + 9. Suppose z*h = n + n - 6, 4*h - 3*n = -9. Suppose h*y - 15 = -y. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -266, -528, -968, -1586, -2382, -3356?\nAnswer: -4508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -1\/32391  (b) 23  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -91307139 - -1303347.\nAnswer: -90003792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -218306 divided by 1.\nAnswer: -218306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57981?\nAnswer: 3, 7, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oooigoiiiiorgoglig. What is prob of sequence ro?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*s - 11. Sort 1, -0.3, s, 2\/15 in decreasing order.\nAnswer: s, 1, 2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of 2*s**5\/5 + 11*s**4\/4 - 993*s**3 - 648. Find the third derivative of d(l) wrt l.\nAnswer: 48*l + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -163\/1386 and -55\/3193743.\nAnswer: 210787038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 43172*w**3 - 43229*w**3 + 2.\nAnswer: -57*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 4*z = 112, -4*g - z - 2*z + 102 = 0. Suppose -3*c = -g - 396. Suppose m + 4*m = c. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 39*r**3 - 1. Let p be o(1). Let z = p - 48. What is the units digit of (26\/z)\/(4\/(-60))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**2 + 80*r + 611. Let t be y(-74). Which is smaller: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 343 and 10557785.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 342 is divided by 87?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of -s**4\/4 - 2*s**3 + 3*s**2\/2 + 7*s. Let q be y(-4). What is the biggest value in 1, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -45  (b) 24  (c) 2\/7  (d) -5  (e) 2\/179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the third derivative of -q**6\/120 - 3*q**5\/20 + 11*q**4\/24 - q**2. Let r(l) be the second derivative of t(l). Differentiate r(i) with respect to i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 8196260 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14 + -13.1. Let l = u - -0.1. Let c be 32\/2*(-4)\/(-8). Do c and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.31973 and -7.\nAnswer: 2.23811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -165, 4, 3, 2 in increasing order.\nAnswer: -165, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 178195934 to the power of 1\/2, to the nearest integer?\nAnswer: 13349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3222 - -30101?\nAnswer: 33323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11?  (a) -1  (b) 0  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.02756*-8\nAnswer: 0.22048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*y - 300 = -141*y + 702 - 232 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**2 + 8*w + 6. Let t be s(-9). Suppose 4*m + 2 = 2*o - 4*o, -3*m + 4*o = -t. Sort -3, m, -1.\nAnswer: -3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 115 divide 7935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 385, 407, 429, 451, 473?\n\"Answer: 22*j + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 15 + (7 - 6 - 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12323 + -1103?\nAnswer: 11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6.9 - -7. Let z = 583\/15 - 39. What is the closest to k in -2\/7, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -76, -10, 2, -4, -239?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/2  (b) 17\/10  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 345703921 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -37*g + 31*g. Let p(s) = -8*s - 4. Let o(h) = 23*h + 13. Let w(f) = g*o(f) - 8*p(f). Calculate w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*g**3 + 21*g**3 + 46*g**3)*(-220*g + 83*g - 189*g).\nAnswer: -25428*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -156891 and -156956 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/15*2460\/(-240)?\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -141 + 141. Suppose t = -5*c + 223 - 73. What is the smallest common multiple of c and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1335, -1340, -1347, -1356, -1367, -1380, -1395?\nAnswer: -1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5737 and 14.\nAnswer: 80318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.16 + 0. Let h = -0.5 - o. Let w = h - -0.3400035. Round w to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/(-5))\/(-4) + 17 + -73*66\/(-110).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 27*i. Let x be u(2). Calculate the greatest common factor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12246 is divided by 553?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2118*h - 183479 + 37337 for h.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/(f\/f**2*f))\/f)\/(f*f*f\/f**(-6)))**(-46)\/((f**(-1)\/f**(6\/5))\/(f**1)**(-47)) assuming f is positive.\nAnswer: f**(1846\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 660 and 462?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 51079 and 2?\nAnswer: 51077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -7. Suppose 2*r - 30 = d, 0*d = -o*d - 12. Suppose -7*q + 0*q + 35 = 0. What is the remainder when r is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -2*c**2 - 256624*c - 1026502. Determine t(-4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 - 10*y**2 - 2*y + 21. Let o be a(10). Let j be o\/(2*10\/(-4)). Let p = 1.1 - 0.1. Put p, 5, j in increasing order.\nAnswer: j, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 2*s + 190, r + 2*s - 48 - 166 = 0. Calculate the least common multiple of r and 36.\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -375236.36 + 20.20572.\nAnswer: -375216.15428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 76 = 5*y + 4*g - 4*g, -8*g + 5*g = -4*y + 47 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 3*y = k + 8, 4*y = 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/2133 and 26\/237.\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8328390.84ms in weeks?\nAnswer: 0.0137704875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 650 a factor of 183695850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1697009, -0.8, -3\/8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42\/21*(-60)\/4020?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-7)*(-427)\/(-366).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -31*6\/(-45) - (-38)\/(-285).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -96 - -33. Let d = f + 471. Suppose 5*q = 282 + d. Does 23 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -3*q - 12. Let y be 8\/(-2) - (-13 - -13). Let m be x(y). Put m, 3, 5, -3 in descending order.\nAnswer: 5, 3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22, -41, -58, -73, -86?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes before 6:49 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*u + 167*u - 4350 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1076928 divided by 269232.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 80019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1239\/22 - -113\/2. Let j = -65.7 + 65.8. Which is the biggest value?  (a) j  (b) f  (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, 13, 27, 45?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -11*r + 13. Let f(a) be the second derivative of 5*a**3\/6 - 3*a**2 - 2*a. Let p(v) = 13*f(v) + 6*x(v). Let l(m) = -84 + 84 + 4*m. What is l(p(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 138443 - 6*y**2 - 138443 - 4*y**2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23276?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 4*i - 164, 101 = -2*b - 2*i - 39. Let k = b + 79. Solve -15 = -2*c + k*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/294564 and -47\/2061948?\nAnswer: 2061948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1144643, -2289285, -3433927?\nAnswer: -4578569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1277, -1295, -1313, -1331?\n\"Answer: -18*h - 1259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (492*l**2 - 4 - 1112*l**2 + 540*l**2)*(3*l - 5*l + 0*l)*(3 - 2 - 2).\nAnswer: -160*l**3 - 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 15 - 6 = 0. Let v = k - -21. What is the highest common factor of v and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 - 8*v + 7. Let w be q(-8). Suppose -5*z + w = -2*t, 5 = z + 2. Let n(f) = -t*f + 4*f - 2*f - f. Let c(b) = b. Determine c(n(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 308284.745 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10884 - -10939. Calculate the remainder when 161 is divided by t.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33\/1472 and -31\/22541840.\nAnswer: 90167360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 PM and 11:12 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 7\/41, 4.\nAnswer: 7\/41, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1753 less than 1753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 444 and 15.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -14, -5, 0, -11 in increasing order.\nAnswer: -14, -11, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(170)\/((sqrt(100)\/sqrt(2))\/sqrt(5)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1708 - -1702. Sort x, -3\/2, 49\/4 in descending order.\nAnswer: 49\/4, -3\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -11.154, -94 in decreasing order.\nAnswer: -4, -11.154, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from ovvooovovovvyvvvy.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -21 + 12 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/4320 and 37\/81459.\nAnswer: 13033440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 13 = -4*d + 9, 0 = -2*s - 2*d + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1571 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*s - 6*s + 2*j + 26, 5*s - j = -32. Let o be 3 + s + 745\/225. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0029458331 rounded to 4 decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 395788 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of 0*d**4 + 0*d**2 + 2*d - 1\/3*d**3 + 7\/120*d**5 + 0. Let y(n) be the second derivative of g(n). Give y(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -9.53 and 73.\nAnswer: -695.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -0.3, 1, -2\/15 in ascending order.\nAnswer: -13, -0.3, -2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10403 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14554 - 1004 = -6*l. Suppose -3*s - 6*d = -2868, 0 = -3*s + 2*d + l + 275. List the prime factors of s.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16438*y**5 - 19*y**4 - 53798*y**2 wrt y?\nAnswer: 986280*y**2 - 456*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 76264599.7 rounded to the nearest 100000?\nAnswer: 76300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 111, 4, -53, 2.\nAnswer: -53, -5, -1, 2, 4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 253608, 507240, 760874, 1014510, 1268148, 1521788, 1775430?\nAnswer: 2029074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 231, 1079, 2485, 4443, 6947, 9991?\n\"Answer: -j**3 + 285*j**2 - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s + x - 2013, -2*s + 73*x + 1502 = 47*x. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 - 1. Suppose -3*v + q + 7 = 0, -9*v = -8*v + 5*q - 13. Suppose c - 261 = -z*r, -264 = -5*r - v*c - c. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95029 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(2\/3)\/f**4*f\/(f\/f**(-3))*f**5\/f assuming f is positive.\nAnswer: f**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + 1465 = -z. Suppose 0 = 5*s - v - z, -s - 2*s = -3*v - 183. Suppose -2*w + 4*r = -s, -4*r = r - 20. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3 + 2)\/((-1)\/2). Let p = -5 - -9. Suppose 2*b = 3*v + 2, 2*b + p*v + 13 = -13. Put 4, f, b in decreasing order.\nAnswer: 4, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4091019 rounded to 3 dps?\nAnswer: 1.409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -214*m - 22680 = 1298*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2001200 + 23202?\nAnswer: -1311332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -28*t**2 - 1084*t + 323. What is s(-39)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/5 + 4*-51. Let l = h + 205. Let n = -80.1 - -80. What is the second biggest value in -0.5, n, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 5*x - 32. Suppose 0 = -0*d + 5*d - 35. Is d less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n + 68 = 60. Let q(g) = -51*g - g**2 + 81*g - 29*g + n. Give q(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3011 + 3007. Which is the nearest to -1?  (a) v  (b) 35  (c) -0.4  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 - 11*l**2 + 7*l - 15. Let u(f) = 2*f**3 + 11*f**2 - 5*f + 16. Let t(a) = -3*n(a) - 2*u(a). What is t(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1236 divided by 133328.\nAnswer: -309\/33332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*w*z**4 - 43305*w*z**3 - 6*w*z**2 + 1412239*w*z - 5*w - 43*z**3 wrt z?\nAnswer: -120*w*z - 259830*w - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 - 0)\/1 + 0 + 15. Let j(i) = 10*i**3 + 14*i**2 - 27*i + 18. Let c be j(q). Round c to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 286715 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 1270*b**2 - 2389*b + 22. Let k(f) = -423*f**2 + 796*f - 8. Let c(n) = -11*k(n) - 4*q(n). Find the second derivative of c(m) wrt m.\nAnswer: -854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6.97 + 6.956. Which is greater: 1\/4 or b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -43, -38, -5, -14 in increasing order.\nAnswer: -43, -38, -14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5709, -12711, -19715, -26721, -33729?\n\"Answer: -v**2 - 6999*v + 1291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pwwwwppwwwwwwwwppw. What is prob of picking 2 p?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) 1\/9  (b) -1\/23  (c) -0.027  (d) -0.1  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/128500 and 62\/636075.\nAnswer: 12721500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(-7) - 18262\/38157. Let m = o + 269\/790. Calculate the common denominator of -73\/66 and m.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -132 - -68. Let o = g - -78. Suppose -o*d + 1134 = -7*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 AM and 3:53 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 6*l**3 - 2*l - 5. Let a be 8\/36 - 960\/(-54). Suppose -3*j + 36 = a. Let d(x) = 7*x**3 - 2*x - 6. What is j*b(t) - 5*d(t)?\nAnswer: t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 9:48 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from {i: 1, j: 1, p: 1, y: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1012 + 112?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 962, 984, 1002, 1016, 1026, 1032, 1034?\nAnswer: 1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1259725)\/(-615) + 4\/6.\nAnswer: 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.97 + 0.03. Let t = -19 - -19.65. Let f = t - 0.15. What is the third smallest value in f, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -240, -356, -600, -1014, -1640, -2520, -3696, -5210?\nAnswer: -7104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -567754 smaller than -567753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -102 (base 5) to base 16\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*v + 8 - 74. Suppose 0*f + v*f = 0. What is the units digit of ((-2)\/(2\/93))\/(f + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 40*d - 237 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 25.03 + -25. Is f < 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**2\/3 - 3496*u\/3 + 58276\/3.\nAnswer: 4*(u - 857)*(u - 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 3*v - 5, -5*j + 33*v - 37*v = -63. Let f(a) = -6*a + 56. What is f(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 10*j**2 - 3*j - 9. Suppose 0*h + 4 = -2*h - p, 4*h - 4*p = -20. Is 15 a factor of t(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes after 12:41 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -1754*q. Let w(o) = -10*o**2 - o - 10. Give s(w(d)).\nAnswer: 17540*d**2 + 1754*d + 17540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1364971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = 4*t - 14, -4*t + 2*k = -5*t + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 238, 646, 740, 40, -1934, -5662?\nAnswer: -11624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2481915?\nAnswer: 3, 5, 17, 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 12 = -2*b, -2*f = 3*b - 6*b - 27. Let a(c) = -c**3 + 10*c**2 - 11*c + 15. Let w be a(f). List the prime factors of (w - -7)*162\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the second derivative of -w**5\/20 + w**4\/4 - w**3\/3 + 3*w**2 - 15*w. Let t be x(3). Find r such that 4\/15*r + 2\/15*r**2 + t = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -45, 0.5 in decreasing order.\nAnswer: 0.5, -0.3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -v - 2*r, -2*v - 4*r + 7*r = 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23 + -12. Suppose 4*x - 26 = 3*c, 3*x + x = -c + 18. Suppose 0 = -j, -2*r + 0*r + 8 = x*j. Calculate the remainder when l is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t**(1\/10)*t*t*t))\/(t**(2\/29)*t))**(-6)\/((t\/(t**(-2)\/t)*t**(2\/9)*t)\/(t*t*(t*t\/(t*t\/(t**1\/t)*t)*t)\/t)**(25\/3)) assuming t is positive.\nAnswer: t**(28873\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d**(4\/7)*d)*d*d\/(d\/d**(-1\/11))*d*d)\/(d\/d**(-3\/2)*d**(-5)))\/(((d*d**0)\/(d**(1\/5)*d))\/((d*d**(-3))\/d*d\/(d*d**5)*d)) assuming d is positive.\nAnswer: d**(-1511\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 3*j - 12 = 0, 5*v - 4*v - 2*j = 13. Solve -v*y = -10 - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 0*d - 5 = 2*n, 0 = -n + 5*d - 20. Solve -n*b = -25 + 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*c**4 - 2904*c - 414.\nAnswer: 8*c**3 - 2904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 6 + 21. Solve -3*d = -0*d - v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 622 a factor of 873715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b**4\/3 - 124*b**3\/3 - 598*b**2 + 3968*b\/3 - 2048\/3 = 0. What is b?\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*u - 0. Let o(g) = 16*g**3 + 2*g**2 - 2*g + 1. Calculate the remainder when 33 is divided by o(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000181981 to seven decimal places.\nAnswer: -0.0000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yrrrryryrrrryryrry. Give prob of sequence ryyr.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 5*q = -3 - 11, 2*i + 5*q - 34 = 0. Suppose 2*j - 54 = -k - i, 3*j = -4*k + 163. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 + 12. Suppose -z*t = -t - 120. What is the remainder when t is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = -3*p + 14, -11*p + 2*p + 17 = -3*f - 4*p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-50))\/(8\/20).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-6) + (-32)\/(-6). Suppose -o*a - 429 = 2*d - 2*a, 0 = -2*a + 2. Is -1 + (-2 - d) + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 5, u: 7, o: 2}. What is prob of sequence uu?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1643 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-126) + 228001\/(-139440) - (-7)\/5.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.06, 0, 5, -50\/629, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-259)\/87 - (-1)\/(-4). Let j = -2\/87 + y. Which is smaller: j or -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**13*q*(q\/(q*q\/q**8))\/q)\/((q*q**4)\/q*q*q*(q\/(q*q**(-11)))\/q) assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -5*q + 8. Let h(k) = -q*k**3 - 2*k**3 - 4*k - 5*k**2 + 3*k**3. What is h(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 241 and 2906518081?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of 0 + 11*a**2 - 2\/3*a**4 + 1\/15*a**5 + 0*a + 2*a**3. Let y(m) = 0. Calculate m.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -91.84485 - -7.84333. Let u = 83.337 + 0.663. Let w = n + u. Round w to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (50 - 0) + -25 + (-5 + 4 - -6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 4*w**3 - w + 1. What are the prime factors of c(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**3 - 6*q**3 + 10*q**3)*(3*q - 3*q - 2*q**2).\nAnswer: -14*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/(-140))\/(5\/(25\/2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 0*a + 90 = 0. Suppose -3 + 7 = 2*u. Suppose 110 + a = u*h. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s**3\/5 - 3548*s**2\/5 + 784992*s\/5 + 788544\/5 = 0.\nAnswer: -1, 444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 2*c + 2 = -2*q, -4*c + 5*q = -44. Suppose -103 = -5*t + v, 0*t - 2*t - 5*v = -25. What is the smallest common multiple of c and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -2*i**2 + 26*i - 16. What is the least common multiple of h(10) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 8*l = 11, -4*g = -l - 2436 + 2387 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 1141237045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jsjl when four letters picked without replacement from zjstjljtzsjjjjzstjzz.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + 463?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 0 - 24. Let b be m\/24 + (-478)\/(-6). Let v be b\/(2 + 32502\/(-16250)). Round v to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 31, 12, 4, 17 in descending order.\nAnswer: 31, 17, 12, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-63)*(4 + 0)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9.4 - -9. Let p be 1\/1 + 12\/(-9). Let u(a) = -2*a**2 - 4*a + 3. Let b be u(1). Put d, b, p in decreasing order.\nAnswer: p, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 2179*r - 4.\nAnswer: -2179*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-12)*12\/18?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.7 - -6. Which is the nearest to -2\/5?  (a) 6  (b) x  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -5282613.7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -41*u**3 - 27*u**3 + 5*u**2 + u + 50 + 0*u**2 - 51 as x*u**3 + h + f*u**2 + v*u and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -88, -112, -152, -208, -280, -368, -472?\n\"Answer: -8*k**2 - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7.01 + 1.09. Let n = 16 + -8. Let l = n - k. Sort -2\/17, 0.2, l in decreasing order.\nAnswer: 0.2, l, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 78260527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 130977 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -93 * -5.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7317525 is divided by 348445?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -353. Let x = -206 + w. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + -1140?\nAnswer: -1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*i - 3*u - 6, 508*u - 23 = -i + 512*u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/230 and -121\/3390?\nAnswer: 77970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 - 19. Let t = g - -8.0000002. Round t to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14518 + 14540. Solve i = -5*c - 25, -5*i + z = -5*c - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-72)\/(-39) - (-12)\/78. Suppose 2*k = -f + 4. Let t(y) = 3*y**2 - 5. Let n(w) = -1. Calculate k*t(o) - 5*n(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1329781.\nAnswer: 131, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 0 - (3 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 25 - 50. Let j = i + 25. Which is the third smallest value?  (a) -1\/11  (b) j  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 4*o**2 + 3*o - 4. Let k(x) = -5*x**2 - 4*x + 5. What is -3*k(b) - 4*m(b)?\nAnswer: -b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 - 15*p**2 + 20*p + 37. Determine v(-11).\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of 9*y**8\/560 + y**6\/40 + 11*y**3\/3 - 24. Let j(l) be the third derivative of g(l). What is the third derivative of j(t) wrt t?\nAnswer: 648*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 182543182?\nAnswer: 2, 317, 499, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 584.7227 + -583.9. Round k to two dps.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 310 = -3*x - 70, -i = 0. What is the remainder when x is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8829 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) -10  (b) 4\/7  (c) 6  (d) -1\/4  (e) -523\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1633 - 3210 + 1577 + 76*m**2.\nAnswer: 76*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the first derivative of -i**2\/2 + 3*i - 2. Let r be p(-7). Let m = -6 + r. 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 -96772 divided by 31?\nAnswer: -96772\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 11 + 9 = 0. Find the common denominator of (-4)\/(-14)*(-6 - t) and 334\/(-154) - 4\/14.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*x = 5*m - 55, 0 = 4*m - 25638*x + 25639*x - 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*i - 34*i - 27*i + 1120 = -41*i for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 13) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -223572*f**3*n**3 - 176*f**3 + f**2 - 33*f*n**3 - 2*f + 371 wrt n.\nAnswer: -670716*f**3*n**2 - 99*f*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -490 + -359566?\nAnswer: -359a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2164158 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 108 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 44  (b) -19204  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 775*x + 2339. Give i(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**2 + 0*a**2 + 2*a**2)*(13*a + 5 + 4 - 10).\nAnswer: 26*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1639 + 16a?\nAnswer: -149c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((-9)\/(-12))*(-1287)\/572?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 2*a - 41 + 13 = 0, 0 = 5*h - 5*a - 35. Let x(f) = -1 - 1 + 3 - h*f - f**2. List the prime factors of x(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - -3 - 22) + (-50 - -49)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minus -0.552?\nAnswer: 2.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*130\/(-6)*474\/(-1580)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1)\/v*v)**36*v**(1\/4)*v*v\/v**(-14) assuming v is positive.\nAnswer: v**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/7  (b) -1  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*h - 67*h - 7*h - 20*h.\nAnswer: -86*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 11*z**3 - 7*z**2 - 3*z - 2. Let j(n) = -16*n**3 + 11*n**2 + 5*n + 3. Let s(r) = 5*j(r) + 8*t(r). Determine s(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1331)*-1*4 - (sqrt(1331) + 0 + sqrt(1331) + 4) - (-5 + -2*sqrt(1331) + sqrt(1331))*-5)*-6)**2.\nAnswer: 252648*sqrt(11) + 5828112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -32.375 - -0.175. Let x = 2.316366 + 29.880694. Let v = x + b. Round v to four dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51121 is divided by 7700.\nAnswer: 4921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -2 + 7. Is v less than or equal to 1\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = 14*z - v, 48 = -351*z + 353*z - 3*v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*a**3 + 3*a**3 - 3*a**3 + 8*a**3.\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.1 + -402.4.\nAnswer: -404.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 PM and 4:12 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 2*n**3 + 5*n**2 - 4*n + 32. Give w(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gwwsgggbb. What is prob of sequence gsw?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13*s**3 + 12465*s**2 - 10536*s - 1916.\nAnswer: -(s - 958)*(s - 1)*(13*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1.5, 2, 3, 13\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do 2259 and 2259 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 3*b. Let a be h(-2). Let j(q) be the first derivative of q**4\/4 + 7*q**3\/3 + 4*q**2 + 11*q - 607. Let l be j(a). Is l > -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -6*1\/((-6)\/4). Suppose 112*c = 97*c - 45. Put 0, w, c in descending order.\nAnswer: w, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -7*y - 87. Let u be z(-13). Solve -2*f + 23 = 5*t, -u*t + 3*f - 2*f + 21 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - (-6 - 2)) + 2 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*o + 14*o = 32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-3)*(-13965)\/224770*-13.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -136*t - 11. Let z be l(-1). Suppose 3*o - f - 24 = 67, -5*o - 5*f = -z. Solve 25*c = o*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -3*k**2. Let h(q) be the first derivative of -q**4\/24 - 23*q**2\/2 + 11. Let i(v) be the second derivative of h(v). Calculate i(m(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 10)*(-119)\/(50337\/94)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -77 - -118. Let y = -85 - -87. Is h != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4\/3  (b) -1\/4  (c) 1\/1291  (d) 5030  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2723989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6288 by -45.\nAnswer: 2096\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of 2*j**3\/3 - 11*j**2\/2 - 12*j + 7213. Calculate v(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 5*o - 209 = 0, -4*i + 0*o + 292 = 4*o. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k**4 - 63*k**2 - 60*k = 0 for k.\nAnswer: -4, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes after 2:53 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 157 - 152. Suppose -x*s + 60 = 4*h, -7*h = -8*h - 2*s + 15. Solve -4*u + u = -h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**2 - v + 1. Let o be x(0). Let g(d) = d**3 + d + 1. Let b(w) = 3*w**3 + w**2 - w - 4. Let s(i) = o*b(i) + 3*g(i). Is s(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -0*b - 34. Suppose 4*k - k + 9 = 0, -2*u - 5*k = -b. Let v be (9\/60)\/((-18)\/u). Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 at least as big as -1409\/473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(104) + sqrt(104) + sqrt(104) + (sqrt(104)*1 - sqrt(104)) + sqrt(104))*1 + (sqrt(104)*-1*5 - sqrt(104)))\/(2*(2*sqrt(8) - sqrt(8))*5))**2.\nAnswer: 13\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -1 + 1 + 4*a**2 + a + 3*a**3 - 2*a**3. Let w be c(-3). Let b = -6 + w. Solve b = -3*s + 3*q - 5*q + 7, 0 = 3*s - 3*q + 18 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3*29\/21 - (-7)\/(-49). Suppose 3*g - 2 = 2*g. Suppose -x = p - 8 + 3, -4*x + 3*p = -6. Put x, 5, g, l in decreasing order.\nAnswer: 5, l, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 15*m**2 - 27*m + 5. Let f(p) = -7*p**2 + 13*p - 2. Let b(j) = 13*f(j) + 6*x(j). Suppose -19*w = 52 - 204. What is b(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.34995 rounded to 1 dp?\nAnswer: 13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 282536168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1101, 773, 507, 303, 161, 81?\n\"Answer: 31*m**2 - 421*m + 1491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**2 - 2. Suppose 2*b - 58 = 3*w, -79 - 1 = 5*w + 5*b. Let t be ((-24)\/w)\/((-4)\/(-6)). Give d(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 - 7*f**2 + 5*f - 4. Determine a(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + 0. Let o = -155.6 + 155.3. What is the nearest to o in -2, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 30261 or 30288?\nAnswer: 30288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -918 + 1221. Is t < 303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12868, 24992, 37116?\nAnswer: 49240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71246.46 grams to micrograms.\nAnswer: 71246460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 PM and 3:55 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 2*m - 5. Let z(f) = f**2 - 2*f + 6. What is 4*d(x) + 3*z(x)?\nAnswer: 3*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 2*b - 4 = 0. Do b and -2\/63 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand c**4 + 0*c**2 + 0*c**2 + (2*c - 2*c - 2*c**2)*(3*c**2 - c**2 - 3*c**2) + 4*c**4 + 16*c - 20*c - 5*c**4.\nAnswer: 2*c**4 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 10\/4 + 6\/12. Suppose v*x + 0*x = 9. Let y(j) = 0*j + j + x + 0 + j. What is y(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 136942 and 59306.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 4*q**2 + 4*q - 3. Let w(t) = -2*t**2 - t + 5. Let n be w(2). Let a(z) be the first derivative of -2*z**3\/3 - z**2 + z + 1. Give n*a(f) - 2*d(f).\nAnswer: 2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 3698 = 3*t, 4*t - 6*t + 4*u + 2462 = 0. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*s - 2*a + 13, -9*s - a + 24 = -5*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of c**5\/60 + 10*c**2. Let y(d) = 6*d + 0*d - 4*d. Calculate f(y(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 105 = -3*k, -k + r - 25 = -0*k. Let t = k + 51. What is the common denominator of 66\/(-15)*t\/12 and 13\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 464 a factor of 390224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7316901, 7316893, 7316885, 7316877, 7316869, 7316861?\nAnswer: 7316853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -43 + 76. Let c = x + -32.9999776. Round c to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 360746101.\nAnswer: 31, 71, 163901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5652 + r**3 + 657192*r**4 - 85*r**2 - r + 87*r**2 - 660269*r**4 wrt r.\nAnswer: -73848*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.0381 and -1.47753.\nAnswer: -1.51563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -7*r**2 + 15*r - 2. Let w be i(2). Which is the closest to w?  (a) -0.4  (b) -4\/7  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/11))**9)**(-5) assuming r is positive.\nAnswer: r**(-90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13538*j**4 - 19754*j + 4813*j - 2281*j**4 wrt j?\nAnswer: 135084*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 - 1)*(-5*z - 21 + 21)*(-3*z**2 + z**2 + 0*z**2)*(-3*z + z + z) to o + h*z**2 + q*z**4 + v*z + w*z**3 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 14 + 1758*p**2 - 1759*p**2 + 0 + 10 in the form s*p + a*p**2 + r and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 2*p**2\/9 - 70952*p\/9 + 48754550\/9 = 0.\nAnswer: 701, 34775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 110766 + 53314. Round h to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**4 - f**4 + 2*f**4 + (3 - 7 + 2)*(-f**4 + 2*f**4 + f**4) - 2*f**4 - 187*f + 187*f + (3*f + 2*f - 3*f)*(-f**3 - 3*f + 3*f) - f**4 + 0*f**4 + 0*f**4.\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the first derivative of 3*m**4\/4 - 11*m + 8. Differentiate h(s) with respect to s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*s = -15*s - 9. Let h(v) be the third derivative of -1\/3*v**s + 4*v**2 + 0*v + 0 + 1\/6*v**4. What is the derivative of h(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 158, 257, 420, 677, 1058?\n\"Answer: 5*l**3 + 2*l**2 + 58*l + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/2114 and -197\/253680.\nAnswer: 253680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 58296 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the first derivative of 2*c**5\/5 - 15*c**4\/2 - 23*c**3 + 45. What is the third derivative of r(q) wrt q?\nAnswer: 48*q - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7.482544ml?\nAnswer: 0.007482544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 + y**2 + 249. Is j(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12226 divided by -42155?\nAnswer: -12226\/42155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 280*o**3 - 28*o + 28. Suppose 0 = 145*h - 729 - 141. Let z(j) = 31*j**3 - 3*j + 3. Calculate h*u(p) - 56*z(p).\nAnswer: -56*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + (-11 + -46 - -141)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 43\/2 of a millennium?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 81*b**3 - 6 + 6 - b + 18*b - 79*b**3.\nAnswer: 2*b**3 + 17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -5 - (-4 + ((12 + 0)\/(-3) - -3)). Sort x, -3, -66, 4, -17 in decreasing order.\nAnswer: 4, x, -3, -17, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2173\/((-5)\/(-15) - 1\/(-6)). Suppose -d = 5*w - 21793, -4*d + 0*d = -w + r. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -331 + 331.05. Let c = 1527 - 90091\/59. Does c = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*u + 17. Suppose -o + u = -0. Suppose 0 + o = t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*2*sqrt(1911))\/((sqrt(48)\/(sqrt(8)*2) - sqrt(6))\/sqrt(2)))**2.\nAnswer: 91728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 0 + (-4 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -501.1 - -594. Let k = w + -92.142. Let t = -0.49 + k. Round t to two dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 14 - 10. Suppose -3*d - 4*i = -14, -6 = -3*d - i + 11. Find the third derivative of k**4 - 10*k**s - k**4 - 15*k**6 - k**d wrt k.\nAnswer: -1920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33 (base 9) to base 6.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 667*g + 439 + 2097 + 799 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1548 - -558?\nAnswer: 1aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 6:33 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w**4\/7 - 4036*w**3\/7 + 141692*w**2 + 3003844*w\/7 + 2007960\/7 = 0.\nAnswer: -2, -1, 435, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 - 975 = -2*u + 3*l, -2*l = -4*u + 1872. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -3466*k. Let o(f) be the third derivative of f**5\/30 - 147*f**2 - 1. Calculate r(o(b)).\nAnswer: -6932*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125*m + 14 = 132*m. Suppose k = -0*k + 4*w + 450, -2*k - m*w + 900 = 0. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a factor of 129635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 925 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -20*c + 22. Suppose 155*u = -190 - 120. Let d(g) = g - 1. What is u*i(o) - 44*d(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-89 - -82) + -3 + 4 + -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/261 and -83\/99.\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k - 5. Let a be f(7). Let i be a\/(-1 + 9\/6). Let v(j) = -2 + 5 - 1 - 2*j. What is v(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 - c736?\nAnswer: -c736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 373 is divided by 149?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1086812971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n**(-19\/2)\/n))\/(n\/(n*n*n**(4\/9)*n)))**47)**46 assuming n is positive.\nAnswer: n**(271331\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2913243?\nAnswer: 3, 59, 109, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4*32\/1 - 42\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 1 + sqrt(72) - (-4 + sqrt(6)\/(-2*sqrt(3))).\nAnswer: 8 + 13*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(9) - 2*sqrt(27)\/sqrt(3))\/(sqrt(27)*-3) - -4*(-2*sqrt(3) + 4 + -5).\nAnswer: -71*sqrt(3)\/9 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**2 - 2*k + 2. Let s(q) = 9*q**2 - 35*q - 11. Calculate -s(a) - 6*t(a).\nAnswer: -15*a**2 + 47*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = u - 33, -4*u + 3*g = 2*g - 72. Let x = -15 + u. Suppose -x = 5*c - 82. Calculate the remainder when c is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*z + 11. Which is the second biggest value?  (a) 2  (b) -3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 895 - 896. Which is the fifth smallest value?  (a) -4  (b) 0.1  (c) -14  (d) -1\/2  (e) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14905200.\nAnswer: 2, 3, 5, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -17*h**2 - 15*h**2 + 4*h**2 + 5*h**2. Let b(d) = 3*d**2. Give t(b(z)).\nAnswer: -207*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 56136519783765 - -0.1\nAnswer: 56136519783765.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, -93, -104, -5, -1, -12 in descending order.\nAnswer: 0, -1, -2, -5, -12, -93, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*k + 5*k + 36*k + 0*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 451143\/55 - 0 - 6\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 31 = 5*w, 2*n - 4*w = -7 + 27. Solve -3*q + 1 = n*y, y + 5 = 2*q - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/8 - 15039*v**2\/8 - 45143*v\/4 + 30090.\nAnswer: (v - 15045)*(v - 2)*(v + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 34422.93nm?\nAnswer: 34.42293","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3 + 7772*t**2 + 7558264*t + 15085456.\nAnswer: 2*(t + 2)*(t + 1942)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111111000010100000111 - 10?\nAnswer: -1111111000010100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-94 - -71) + -9 + 20 + 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**2 - 11*r - 235. Calculate the remainder when q(-16) is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 9  (b) -0.3  (c) 49  (d) -0.049  (e) 0.1  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -40\/159 and 52\/265.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -y + 4*l + 16, 2*y = -y - 2*l + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -2812*r**2 - 6. Let b(s) = 60494554*s**2 + 129076. Give -6*b(n) - 129076*q(n).\nAnswer: -5612*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25457.083 + 25457. Which is the second smallest value?  (a) w  (b) -0.6  (c) -2\/9  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from {q: 16, j: 2}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from snvtnsvvsssgsvsjsjnn. Give prob of sequence gj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*h + 4*y, -h - 8 = -0*h + 3*y. Let k = h + 0. Suppose k*n = -5 + 33. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 443529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4774, -2, 11, -5, 8 in decreasing order.\nAnswer: 11, 8, -2, -5, -4774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -20*b**2 - 26*b + 12. Let z(f) = 9*f**2 + 12*f - 6. Let v(a) = 6*u(a) + 13*z(a). Let j(s) = s. Determine v(j(r)).\nAnswer: -3*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -6*l**3 + 16*l**2 - 4*l + 1. Let u(x) = -26*x**3 + 69*x**2 - 17*x + 2. Determine 9*f(z) - 2*u(z).\nAnswer: -2*z**3 + 6*z**2 - 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*x = 26*x - 16. Suppose -16 = t - 6*t + 2*z, t + x*z = -10. Suppose -15 = -5*v - 2*q, -t*v = 3*v - 2*q - 15. Solve v*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g*g**1*g**(-4))\/(g**(1\/3))**(-2\/81))\/(((g**(3\/7)*g)\/(g\/(g*g\/(g*g**(-5)))))\/((g*g\/(g\/g**(-4)))\/(g*g**(-7)*g))) assuming g is positive.\nAnswer: g**(-9220\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 3 i when four letters picked without replacement from iiiffiiiiiiddfiddff.\nAnswer: 50\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -618 divided by 8190.\nAnswer: -103\/1365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, 1, 5, -22 in ascending order.\nAnswer: -22, -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (2790\/(-36890))\/(9\/42)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = z - 2*z. Calculate the remainder when z is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) -0.3  (b) 3  (c) 1\/4  (d) -2  (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2169\/11 + -197. Let r = -1.218 - 1.782. Put -11, d, r, 0.5 in decreasing order.\nAnswer: 0.5, d, r, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -8*i - 5. Calculate l(6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 52999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 2  (b) -0.2  (c) 740\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7409758 is divided by 645.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 561892621.\nAnswer: 569, 987509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 PM and 8:59 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of d**6\/90 + d**5\/60 - d**3\/6 + 4*d**2. Let m(c) be the first derivative of h(c). Find the second derivative of m(y) wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((55\/20)\/11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 38*b**3 + 48*b**3 + 4*b**3 + (-1 + 1 - b**3)*((4 + 0 - 6)*(1 - 3 + 3) + 7 - 1 + 0).\nAnswer: 86*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-395)\/250)\/((-8)\/(-20)) and -13\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1559389802 to the power of 1\/3, to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.01 and -678969909.62?\nAnswer: 678969909.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11001011100 (base 2) to base 16.\nAnswer: -65c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 295 + -118. Suppose 3*t - 5*s = 313, 2*t - q = -2*s - s. Calculate the smallest common multiple of t and 9.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, k: 4, f: 2}. Give prob of picking 1 o and 2 k.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**2 - 180*w.\nAnswer: 4*w*(w - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22509.5 nanoseconds to microseconds.\nAnswer: 22.5095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 29251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/385?  (a) -1  (b) -3\/296  (c) 2\/3  (d) 0  (e) -3  (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 452640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 132123 (base 4) to base 11\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 9*h**2 - h + 1. Let n(m) = -1237*m**2 - m + 1. Give l(t) + n(t).\nAnswer: -1228*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + -4. Find the second derivative of -11 + 11 + m*s**4 - s wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u - 4. Let x = -4 - -14. Let f = -15 + x. Determine v(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*c = -20*c - 3796. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1.7  (b) 3  (c) -4.1  (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27.64 + -0.36. Let s = q + 16. Let b = 12.1 + s. Which is smaller: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 64\/2 - (3 - 5). Suppose -32 = -4*l - l - z, 4*l - 2*z - b = 0. Calculate the smallest common multiple of l and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -24269236*j**5 - 7112279*j**2 wrt j.\nAnswer: -1456154160*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2221006463 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) + 4 + sqrt(637) + (sqrt(325) + -4 - sqrt(13))**2 + 4.\nAnswer: -24*sqrt(13) + 232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oqqgoqqqiqqg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*a - 116 = -6 + 25 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -4216 + 1092. Let u = 1487 - r. What are the prime factors of u?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -5*d + 44, 5*d - 2*p + 0*p - 47 = 0. Solve d = 153*l - 156*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1412\/1059*(-24)\/2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23286966*i**2 - 23286966*i**2 + 13278*i**3)*(4 - 2 - 1)*(2*i - 4*i + i).\nAnswer: -13278*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 482 + 449*i + 500 - 982.\nAnswer: 449*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3*(sqrt(3) + -3) + (sqrt(108)\/sqrt(3))\/sqrt(12))**2*-1.\nAnswer: -558 + 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.38 in 0, 0.049, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - 77?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 186310 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of o**3 - 3*o + 3\/2*o**2 + o**4 + 1. Let x = 0 - 2. Let c(s) = -3*s**3 - 2*s**2 - 2*s + 2. Determine x*k(m) - 3*c(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41, -3509, 3.\nAnswer: -3509, -41, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 - 15.033. Let i = d - 0.043. Let u = i - 0.024. What is the second biggest value in 3, u, 4\/5, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from {b: 2, c: 4, y: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3016\/(-65))\/(((-6)\/45)\/(21\/(1008\/16))).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -3, -x + 0*x - 4*d = -40. Let r be -2*(50\/(-4))\/5. Suppose r*j - x = -3*f + 9, -9 = -f - 5*j. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f - 3. Let z be k(5). Find the third derivative of z*s + 7*s**2 + s**5 - 2*s**2 - 2*s wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -88763592 and -88763599 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 + 4*w**2 + 5*w + 4. Let d be c(5). Suppose 5*b = -5, -z - d*z + 29 = -4*b. Put z, 0, 4 in decreasing order.\nAnswer: z, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 342544972 is divided by 1671.\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/6 and 7\/6068.\nAnswer: 18204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 4 - (-5 + -4 + 12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1112121110 (base 3) to base 7.\nAnswer: -154302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1466 + -1462. Which is the biggest value?  (a) 0.16  (b) p  (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 PM and 5:08 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*y**5*z + 238*y**5 - 133*y**2*z + 5*y**2 wrt y?\nAnswer: -120*y**2*z + 14280*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 108\/5, 0.4, 57?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-62092)\/380)\/(9\/(-5)). Are a and 91 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (17 - (-44 + 50)) + 1940760\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zrz when three letters picked without replacement from pprprrppzrzpr.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 42*x**2 - 3. Let o(j) = -12*j. Give o(m(t)).\nAnswer: -504*t**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**3 - 56*o**2 - 150*o + 450. Calculate l(-53).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3*6 - (13 - 14). What is the remainder when (2\/(-4))\/(c\/2244) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -8*a**2 + 2*a + 4. Let o(x) = 4 + 4 - 19*x**2 - 2*x + 6*x + 2*x**2. Let u(n) = 13*l(n) - 6*o(n). Factor u(j).\nAnswer: -2*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 3*k + 16 = 0, 2 = -w + 4*k - 1. Suppose 2*n - 13 = -3*g, 4*n - 25 - 34 = w*g. Let q = -9 + 53. Calculate the greatest common factor of n and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -1128788.\nAnswer: -5\/1128788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of h**5 - 7*h**4 - 91*h**3 - 18*h**2 + 922664*h wrt h?\nAnswer: 20*h**3 - 84*h**2 - 546*h - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -795, -3856, -8959, -16104, -25291, -36520, -49791?\nAnswer: -65104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-218)\/(-3 + 1) - (-1)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-7) - 88\/84 - -2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 295061 by -1133.\nAnswer: -295061\/1133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and 0.341?\nAnswer: 0.1023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -4*u**2. Let d(v) be the third derivative of -v**4\/24 - v**3\/2 - 2*v**2 - 15*v. Give q(d(y)).\nAnswer: -4*y**2 - 24*y - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 12\/(-9)*(-27)\/6. Let j = w - 4. Let z(d) = 2*d**2 - 7*d**2 + 6*d**j. Let l(p) = -3*p. Determine l(z(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -318, -320, -328, -342, -362, -388, -420?\n\"Answer: -3*n**2 + 7*n - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 6*m**2 - 3*m. Suppose -3*y - 3*j = 2*y - 1, -y = 3*j + 7. What is a(y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118459514 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*u**2 - 1 - 3 - 3*u**2 + 2.\nAnswer: -21*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 4  (c) 7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1823 - -16409\/9. What is the nearest to -2 in 1\/4, 3\/2, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14\/(-23)*(-23)\/322 + 110340\/1380\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((-315)\/(-265)) - 6\/(-42).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 PM and 12:11 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 756 and 81?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -429 + 439 = q. Calculate the lowest common multiple of q and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22)\/3*(-2*(-8)\/64)\/((-96)\/128).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-39)\/63 - 24\/(-84)) + (-22)\/(-3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 22 = 2. Let m be 133\/315 - 1\/o. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + ((-72)\/(-96) - 126\/8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 32*g**3 - 26*g**2 - 202*g + 26. Let f(x) = -22*x**3 + 18*x**2 + 135*x - 18. Give -10*f(r) - 7*w(r).\nAnswer: -4*r**3 + 2*r**2 + 64*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 5 + -6 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 - 2*i - 27. Let r be n(-12). Let w = r - 70. List the prime factors of w.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 428097 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 5 = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*s - s = -608. Solve 0*x + s = 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-22)\/(-10) - (-3)\/(-15). Let y(f) = -3*f - 39. Let c be y(-14). Determine r, given that -4*r**2 + 9*r - c*r + q*r + 8*r - 16 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 293 + 53583063359\nAnswer: 53583063652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 18617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 806 is divided by 386?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1018 - -1013. Let i = -0.251 + 4.251. What is the nearest to 2\/7 in s, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -13781, -27560, -41337, -55112, -68885?\n\"Answer: p**2 - 13782*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 + 7*a**2 - 10*a - 12. Let c be p(-8). Suppose 8*d + 96 = -c*d. What are the prime factors of (-2592)\/(-40) + d\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 99 = -6*l. What is the highest common factor of 297 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2404 - 7210\/3. What is the biggest value in 3\/14, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4643627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 2*p + 19 = -2*o, p + 2*o + 5 = 0. Which is bigger: p or -8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 0.021, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -11539, 0.9 in descending order.\nAnswer: 5, 0.9, -11539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 2*t + 3*t = -30, j + 6 = -4*t. Suppose 0*l - 5*l = -j. Solve k + 4*i - 1 = 0, -l*k + 0*k = -i - 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*k**3)*(-k + k + 6*k**2) + 2*k**5 + 2*k - 2*k + 753*k**5 + 222*k**5 - 243*k**5 + 1135*k**5.\nAnswer: 1857*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 12181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (612 - 250 + 438)*(2*n**2 + 3*n**2 - 4*n**2).\nAnswer: 800*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 18 - 22 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7 and 4529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5805 and 110.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -37*q**3 - 24 + 24 + (2 + 3*q - 2)*(1 + 2 - 2 - q**2) to l + z*q + b*q**2 + r*q**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 14022843*n. Let o(w) = 2*w. Calculate o(i(g)).\nAnswer: 28045686*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -54*s**5 - 3672*s**4 + 144*s**3 + 9664*s**2 - 8672*s + 2176 = 0?\nAnswer: -68, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 13*f + 24. Let b(s) = 2*s. Calculate b(q(v)).\nAnswer: 26*v + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 110 = 2*l. Let f be l\/18 + 18\/(-81). Find the first derivative of y + 4*y - f + 3 + 3 wrt y.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-77 - 1)\/(221\/(-884)) and 512.\nAnswer: 19968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -m**4 - 69*m**3 - 2*m**2 - 30*m**3 - m**2 + 2*m**2 to u*m**2 + l*m**3 + r*m + h + k*m**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 824 and 309.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -14*r. Let j(g) = 2*g - 1. Let s be 4\/6*(-3)\/(-1). Let o be j(s). Let h(p) = 12*p + o*p**2 - 12*p - 2*p**2. Determine h(c(b)).\nAnswer: 196*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 19 - 20. Let h = -21 - q. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) 3109  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*l, 3*i + 0 = -2*l + 10. Suppose 0 = -4*x + 6*z + 6682, -5011 = -i*x - x + 4*z. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + 0 + 0 + 1. Suppose 0*m + i - 242 = -5*m, 0 = -i + s. Let k be m\/20*20\/6. What is the greatest common divisor of k and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 1. Let g(y) = -11*y + 2615. Let d(b) = 5*b - 1210. Let j(o) = 13*d(o) + 6*g(o). Give j(q) + 5*k(q).\nAnswer: -q - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 41897500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 556652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 AM and 9:24 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 245*a**3 + 0 + 0 + 1004*a**3.\nAnswer: 1249*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in twelve sevenths of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/((-252)\/8))\/(4\/6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -23498 (base 11) in base 10?\nAnswer: -33866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 26203688 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 960220*i**2 + 427103*i.\nAnswer: 1920440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -208 - -596. Does 35 divide (-2 - -1)\/(-3 + 1160\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of 5*i**4\/24 - i**3\/6 + 5*i**2\/2 - 31*i + 2. Let g(b) be the first derivative of l(b). Let r(f) = -5*f**2. What is r(g(c))?\nAnswer: -125*c**2 + 50*c - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4088494 millennia to years.\nAnswer: 408.8494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 13 - 2 - (10 + -11 + 8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*g - 7032 = -33*g. Let h = 312 + g. Calculate the remainder when 44 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q - 2. Let v be f(4). Let u be v\/8 + (-166)\/(-8). Let t be u\/28 - 2\/(-7). Which is the third biggest value?  (a) t  (b) -2  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of -i**2\/2 - i - 246. Let v = -13 + 11. What is m(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 + 1240639.\nAnswer: 1240639.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - (0 - (1 + 11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 560 = 3*k. Calculate the remainder when k is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*s - 0. Sort 1, s, -13, -1 in decreasing order.\nAnswer: 1, s, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -18241, -73027, -164337, -292171, -456529, -657411?\n\"Answer: -18262*z**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1536527 or -1536528?\nAnswer: -1536527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -6. Let i be (-2)\/6*(5 + y). Let h = 20\/3 - 103\/15. Is i greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the first derivative of 4*m**3\/3 + 564. Let s(p) = -7*p + 3. Give h(s(l)).\nAnswer: 196*l**2 - 168*l + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 209501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - (-18 - -45)) + 9 + -26.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c. Let r(d) = -24594*d**2 - 310*d. Determine r(o(j)).\nAnswer: -24594*j**2 - 310*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 1154 = i - 1906, 5*i - z - 15327 = 0. Let q = i - -2254. Suppose -2*r = 2*r + q. Round r to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.15 and 0.0725.\nAnswer: -0.010875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -139 + 146. Solve 6 = -b*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/52995 and -59\/17665.\nAnswer: 52995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119*p + 1 - 1.\nAnswer: -119*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -3*g - 32. Give r(10).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in fourty-two fifths of a milligram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 110853?\nAnswer: 110853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -1, -2\/1827?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -10*r - 3 + 16*r**2 - 29*r**2 + 14*r**2. Calculate s(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 + 35244*f - 1906082. What is r(54)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -140 divided by -7\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/80520 and 75\/217448.\nAnswer: 198964920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -7*h**3 + h**2 + 2. Let z be i(2). Let w = z - -108. Let t = w - -133. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14715600*t**6 + 49638*t**2 - 41*t.\nAnswer: 1765872000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 5, -0.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 381*a**5 - 448*a**4 + 5085194*a?\nAnswer: 7620*a**3 - 5376*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of ((336\/36)\/(-4) - -9)*(1 - -65) and 352.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 19 in 4, -2\/13, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 5, p: 3, u: 4}. What is prob of sequence uupn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 2*p**3 + p**2 - 2*p + 1. Let n be b(1). Suppose 3*l = -n*l + 170. Calculate the greatest common divisor of 17 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 5 + 17 = 0. Suppose 3*b = g - 22, 0 = -9*b + 14*b + 30. Calculate the remainder when t is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 165223 - -14 - 28\/8*2. What is n rounded to the nearest 1000?\nAnswer: 165000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -3*b**3 + 550*b**2 + 910*b + 2756. Determine j(185).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 927 is divided by 918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -42 - (-37 + 17) - -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-616*h + 43*h**2 + 616*h)*(-4 + 2*h + 4).\nAnswer: 86*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.446 * 258.\nAnswer: 373.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/9, -4\/5, 4, 137?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1104, 1103, 1102?\n\"Answer: -z + 1105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*w**6 - 188*w**4 + 4*w**3 - 131*w**2 + 4?\nAnswer: 240*w**3 - 4512*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 91748, 183494, 275240?\nAnswer: 366986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.7298 + -15.2298. Which is the third smallest value?  (a) v  (b) 1  (c) 4  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, 4, 20\/11, -2\/13?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.9 + 2.13. Let g = -0.23018 + u. Round g to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10330111210 + -3131?\nAnswer: -10330121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/4*(-28)\/(-7). Let j = 840 + -844. Put k, -5, 5, j in increasing order.\nAnswer: -5, j, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -48*c + 6*c**2 - 46*c + c**3 + 145*c - 48*c. Let g(z) = -3*z**3 - 13*z**2 - 6*z. What is -2*g(h) - 5*l(h)?\nAnswer: h**3 - 4*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -4*y + 4*y. Which is bigger: y or -2\/23?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/15519 and 23\/45?\nAnswer: 232785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s - 7*s = 0. Let v(q) be the third derivative of 1\/3*q**3 + 0 + 1\/30*q**5 + s*q - 1\/6*q**4 + q**2. Solve v(d) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.11 and -10603.2.\nAnswer: 22372.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -4 times -43\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) - (sqrt(99) - ((sqrt(99)*-1 - sqrt(99)) + sqrt(99)))*-5)\/(2*sqrt(900)).\nAnswer: 11*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 - 42*o**2 - 422*o + 175. Determine d(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 577209.\nAnswer: 3, 181, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1904 and 13056?\nAnswer: 91392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 1 + 5 = 0. Let b be ((-10)\/(-15)*w)\/(-31). Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 847 a factor of 3662551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -461 - -953\/2. Let m = i + -47\/3. Let u = -9 + 10. Which is bigger: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28100 and 2200?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1535, 3061, 4587, 6113, 7639?\nAnswer: 9165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -390*g + 5044. List the prime factors of m(-11).\nAnswer: 2, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w = 6*w. Suppose -4*t = 3*k - k - 14, -4*t + 4*k + 32 = w. Solve -4*q = -0*q - t*c - 33, -4*q = c - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -0.51  (c) -5  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of 0 - 14*n + 0*n**6 + 0*n**3 + 0*n**5 - 7\/12*n**4 + 0*n**2 + 8\/21*n**7. What is the third derivative of o(f) wrt f?\nAnswer: 960*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 f, and 1 r when three letters picked without replacement from {r: 4, f: 8, a: 2}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/5*v**2 - 462\/5 + 237\/5*v.\nAnswer: -3*(v - 77)*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 7, z: 5}. What is prob of sequence zzz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-127)\/(9144\/(-576)))\/(2\/3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 15) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 139399*m**2 + 52*m + 53. Let v be g(-1). Round v to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92 = 4*i - 3*a, -36 = 4*i - 4*a - 124. Let q = 9 + -20. Let f = i + q. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 73926162 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -5\/4, 9, 32199, -8\/7, -1 in descending order.\nAnswer: 32199, 9, 0.4, -1, -8\/7, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1607, -1\/2, 97 in descending order.\nAnswer: 97, -1\/2, -1607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 108212 in -5, 5, 691, -2?\nAnswer: 691","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -569, -4, 2 in decreasing order.\nAnswer: 2, -4, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/5 of a millennium in centuries?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/(f*f\/(f**1\/f)))**(-50)\/(f\/f**2*f**(3\/8)) assuming f is positive.\nAnswer: f**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -3*b - 19, -5*b - c + 5 = -0. Solve 26 = 5*n + b*f, 2*n = 7*n - 4*f - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of 91*r**5\/60 - r**4\/24 + 7*r**3\/6 - 20*r**2. Is n(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 10.70043ml?\nAnswer: 0.01070043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 27 - 11. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 5*i - 14, 2*b - 4*b - 8 = -2*i. Let u(q) be the third derivative of q**4\/8 + 3*q**3\/2 + 4*q**2. Let f(s) = 2*s + 5. What is i*u(d) - 5*f(d)?\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 - 15\/(-1 - 2). Let p = -1 + r. Are 3 and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 - 33 = 2*o. Let b = 43 + o. Solve 0*d - 8 = b*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1319.436 to the nearest 10.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 96441072 divided by 927318.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 + 6*g + 2. Let m be n(6). Suppose -m*i + i = -1. Let l(t) = 12*t + 92. Let r be l(-8). Put r, -2, i in descending order.\nAnswer: i, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/((-77)\/21)*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 PM and 2:01 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -1 + sqrt(147))**2*-4*-5.\nAnswer: -840*sqrt(3) + 3120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (3120\/225)\/16 - (460\/(-75) + 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 5778?\nAnswer: -11556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 599*n - 176. Let l be j(7). Suppose 5*f - 3*f - l = -3*c, -3*f + 2*c = -6019. What are the prime factors of f?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 1 = 5, c - 4*x = 7. Suppose m - 6*m - 4*f + 19 = 0, -4*m = -c*f - 9. Suppose -3*b - m = 0, -46 = -3*r + b - 3*b. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000271851145 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 9. Let r be -11*t\/4 + 2. Let d = -5085\/17 + 299. Put -3\/2, d, r in descending order.\nAnswer: d, r, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/1*(-36)\/(-54). Suppose l = 3*r + 11, -5*r = 3*m - 465. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -1370*b - 1. What are the prime factors of j(-2)?\nAnswer: 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28825, 57649, 86473, 115297, 144121?\nAnswer: 172945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -27646, -26441, -25236, -24031?\n\"Answer: 1205*k - 28851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -54441\/11 - -4949. Which is the smallest value?  (a) -2\/5  (b) -23\/5  (c) -4\/3  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -124?  (a) 0  (b) 1  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:53 AM and 8:06 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.469014 minutes to nanoseconds.\nAnswer: 148140840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 + 4*b**2 + 2. Let s be i(-4). Solve -s*d + 14 = 3*j, 3*j - 2*j + 3*d = 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-1\/10)*w*w*w**(-3))\/(w\/(w**(-8\/5)*w*w*w)*w*(w\/w**(-18\/7))\/w) assuming w is positive.\nAnswer: w**(-43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(49) - -2*sqrt(1225))\/sqrt(7) + -1 + sqrt(112) + -3)**2.\nAnswer: -120*sqrt(7) + 1591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 221*t**2 + 0*t + 67*t**2 - 95*t**2 - 2*t + 254*t**2.\nAnswer: 447*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 51.7 - 86. Let n = -0.059 - -34.059. Let x = n + q. What is the smallest value in 2, -2\/9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 388696890 + -388696759.9999705. Let t = 130 - f. Round t to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yiei when four letters picked without replacement from {y: 1, e: 2, i: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2257802 to the power of 1\/2, to the nearest integer?\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 273966, 547921, 821876, 1095831, 1369786?\nAnswer: 1643741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.7*-0.896\nAnswer: 0.6272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 867 is divided by 167?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-1) - (-2 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5 - 20*p**4 - 6*p + 4 + 0 - 1 - 48*p wrt p.\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -520 - -603. Suppose -3*j + 31 = -f. What is the greatest common divisor of 513 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5817 + 6*45\/(-18). What is the greatest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 + 0*w + 0*w. Let h(f) be the first derivative of 5*f**2\/2 + 11. Determine r(h(c)).\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 u when three letters picked without replacement from biiuibubb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 199916238?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 12 - (-2587 - -2570)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-26))**28 assuming c is positive.\nAnswer: c**756","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.31  (b) 2\/11  (c) -0.1  (d) 0.324\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(209)*3 - sqrt(209))*3)\/(sqrt(11) - (sqrt(396) + (sqrt(396) - 1*sqrt(396) - sqrt(396)))).\nAnswer: 5 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 4 - 1)*(5*o - 2*o - 2*o + (-1 + 0 + 0)*(10*o - 8 + 8)) in the form j*o + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-6)\/f*f**(3\/5))**(-46) assuming f is positive.\nAnswer: f**(1242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-92)\/69)\/(4\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 + z**2 - z + 3. Let c be 1 + -5 - (-2 + 10)\/(-2). Give r(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 161\/310 - 3\/155. Factor q + 1\/2*q**2 + i.\nAnswer: (q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21 + 11. Let b(d) = d + 3. Let w be b(p). Let v be (-12)\/7 + 2\/w. Let o(k) = -2*k**3 - 3*k**2 - k - 1. Determine o(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*d**2*j**3 - 38*d**2*j**2*r + 2*j**3*r + 121*j wrt r.\nAnswer: -38*d**2*j**2 + 2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(504) - (sqrt(14) - (sqrt(70)*3)\/sqrt(5)))\/(2*-2*sqrt(1008)*-5).\nAnswer: sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-570)\/(-50) + -12)\/((-27)\/(-10)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13766 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 5*c**3 - 1. Let f be i(1). Let d = 9 - f. Suppose -3*l = -d*p - 0*p + 19, 0 = 3*l - 3*p + 9. What is the highest common factor of l and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, 66, -1, -2\/11 in ascending order.\nAnswer: -1, -2\/11, 0, 2, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1160 is divided by 44.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = 3*j + 5, -2*b + j = 65 - 64 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -44a5b (base 14) in base 15?\nAnswer: -345c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 866 + -870. Sort w, -1, -2, 0 in increasing order.\nAnswer: w, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 - 5*o + 3. Let g = -21 - -15. Calculate r(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -44363426 or -44363427?\nAnswer: -44363427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 58 - 65. Let m(g) = g**2 + 8*g + 13. Let a be m(h). Calculate the greatest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100 times -1.579\nAnswer: -157.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -814, -21, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - (4 - 0)) + (1 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + -1 + (-1 - -1). Let a(c) = -c**2 + 22. Let i be a(m). Suppose -p + b = -i - 27, -3*p + 182 = 4*b. Calculate the highest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -71*r**2 - 153*r - 107. Let f(u) = -10*u**2 - 21*u - 15. Let g(m) = 29*f(m) - 4*k(m). Determine g(-4).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -49411.5 rounded to the nearest 100?\nAnswer: -49400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 14670 or 14660?\nAnswer: 14670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2541*v**3 - v**2 + 6*v - 15. Let h(t) = 2542*t**3 + t**2 - 8*t + 20. Give 3*h(d) + 4*j(d).\nAnswer: -2538*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/3027056 and 31\/4540584.\nAnswer: 9081168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 + 28\/12)*21 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10101 (base 2) to base 8\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8.24 + -0.24. What is the closest to -0.1 in p, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 695*x + 745*x - 2*x**2 + 0*x**2.\nAnswer: -2*x**2 + 1440*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/238, 0.3, -1\/5, 1\/12, 85.\nAnswer: -1\/5, -1\/238, 1\/12, 0.3, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/8082006 and 17\/28287021?\nAnswer: 56574042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c + a?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4\/48)\/(17\/(-136)). Put 37, 0.4, c, 2\/13 in decreasing order.\nAnswer: 37, 0.4, 2\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.88 + 0.12. What is the fourth smallest value in i, 4, 0.1, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 44.06198 millilitres?\nAnswer: 0.04406198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1991*o - 3704 + 29587 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 84\/(-9)*(430\/(-105) + 4). Is 0.07 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1411220 - 3?\nAnswer: 1411213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 10303333102 (base 4) to base 12\nAnswer: 50a06a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13 in 0.5, -2\/7, 1\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-2)\/(i**(-1)\/i)*(i**(-1\/2)*i)**20 assuming i is positive.\nAnswer: i**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 602377059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/3198285 and -29\/276395?\nAnswer: 22387995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 - 1\/(2\/(-2)). Let f = 28 + -26. Solve 2*d + 11 = -3*m, -6 = -2*m + f*d - i*d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4756385221?\nAnswer: 7, 859, 791017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -r - 2*r. Suppose 0 = -4*b - 125 - 43. Let d be 0 - -2 - b\/6. Solve -1 = r*m - d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2171243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27255, -109036, -245337, -436158, -681499, -981360, -1335741?\nAnswer: -1744642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f - 11*f + 32 + 11*f + (-2*f + f - f)*(3 - 3 - 1) + 0*f + f + 5*f + (5*f - 4*f - 2*f)*(-1 - 1 + 0) + 2*f - f + f.\nAnswer: 14*f + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p**3 + 4*p**3 - p**3)*(2 - 2 + 1)*(-2 + 5 - 2)*(-19*p + 22*p + 37*p).\nAnswer: 240*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56343 + 128140 = 1177*y for y.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 0.4, 2, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 408199 = -104*j + 23*j + 3166087. What are the prime factors of j?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -883, -1852, -2909, -4054, -5287?\n\"Answer: -44*l**2 - 837*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -5*z - 20, -3*n + 0*z - 20 = 5*z. Sort n, -0.05, 5 in decreasing order.\nAnswer: 5, n, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -462 = 60*o + 17*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1228689 divided by -7\nAnswer: 175527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the third derivative of -z**6\/240 - z**5\/120 + 5*z**4\/24 - 3*z**2. Let n(a) be the second derivative of c(a). Differentiate n(g) with respect to g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 526995, 1053993, 1580983, 2107953, 2634891?\nAnswer: 3161785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 3*g**2 - 12*g + 14. Let h(s) be the third derivative of s**5\/60 - s**4\/24 + s**3\/2 - 52*s**2 + s. Let i(w) = 4*h(w) - v(w). What is i(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 AM and 4:07 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 21*u**2 + 41*u + 1. Let y be f(-2). Solve 5*i - 2*s + 9 = 0, i + y*i + 21 = -3*s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-151)\/(544808\/(-45018)) + (-18)\/(-44)*(-8)\/(-12)?\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 96 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/15)*k)\/(k*k\/k**(6\/19)*k*k)*k*k*(k**(-18)*k)\/k*k**(2\/3) assuming k is positive.\nAnswer: k**(-1718\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 10:52 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w - 16 = -0*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of z**3 + 0*z - 2\/5*z**5 + 0*z**2 + 0*z**4 + 1. What is the third derivative of r(n) wrt n?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((1*sqrt(441))\/sqrt(7))\/sqrt(7))\/(1*((sqrt(363)*-2 - sqrt(363)) + sqrt(363)))*2)**2.\nAnswer: 3\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 220555+-13.4\nAnswer: 220541.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(1\/3)*k*k**(-5))\/(k**(4\/9)\/k**(-1)) assuming k is positive.\nAnswer: k**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 424 + -225. List the prime factors of n.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 3*p + 4. Let t be f(3). Suppose -2*i + 0*s + 56 = 4*s, -3*s = -i + t. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2\/75 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 773 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 25.95134l?\nAnswer: 25951.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 10023497 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13 and 260.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**39)**(1\/35) assuming x is positive.\nAnswer: x**(-38\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 + 11*y**2 + 172*y + 317. Give k(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, -45, -128, -245, -396, -581?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 11. Suppose -a*f - 9 = -l - 4*f, 0 = -5*l - f - 18. Is -158*((-6)\/(-4))\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**(-35)*v))\/v)\/(v*v**11)*(v*v\/(v*v\/(v*v\/v**(-29)*v)))\/v**(5\/12) assuming v is positive.\nAnswer: v**(643\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum -556076846409 and 12.\nAnswer: -556076846397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 29\/144341 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence spg when three letters picked without replacement from {m: 2, g: 9, s: 1, p: 4}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2702496 is divided by 321?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -61254 by 41.\nAnswer: -1494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do -769 and -767 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 65.1003046 + -65.1. Round w to five decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 767447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - -2. Suppose -4*z = -0*w + 4*w - 128, -u*z - 124 = -3*w. Calculate the highest common divisor of w and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*o - 6699 = 27*o - 3142 + 2518 for o.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*-6*(1 + -5 + (-2*sqrt(52)*4)\/(sqrt(100)*-2))**2.\nAnswer: -1152*sqrt(13)\/5 + 21888\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 57999 times 4?\nAnswer: 231996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 3 + 24 - 47 + 17. Let u(n) = -n - 4. Give 5*t(z) - 4*u(z).\nAnswer: 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 - -10011010?\nAnswer: 10010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 - -3 - (1 + 2). Let u(i) = i + 10. Let y be u(-8). Find the first derivative of 3 + c*h - y*h - 5 wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29\/(3944\/1328) + (-4 + 34)\/(-3)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/2  (b) 1\/259  (c) -0.5  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.009, 42.973, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1775 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/4 of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -132*i + 21 + 132*i + 18*i**3 + 4*i**3.\nAnswer: 22*i**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 17305576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -65*y + 6*y - 15*y - 518 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**4 + w. Suppose -2*b - 35 = -43. Let a(n) = -b*n - 7*n**4 - n**4 + n**5 + 7*n. Let t(l) = a(l) - 3*x(l). Factor t(c).\nAnswer: c**4*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ae667 - -c?\nAnswer: -ae65a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 - 5*o**2 - 6*o - 2. Let z be t(-4). Suppose -i = -z - 16. Calculate the highest common divisor of 242 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of -a**5\/5 + 49*a**4\/4 - 53*a**3\/3 + a**2\/2 - 50. What is the third derivative of q(f) wrt f?\nAnswer: -24*f + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*1*(-2*(sqrt(1539) + -2) + sqrt(1539)) + 5*(sqrt(1539) - (-1 + sqrt(1539)*2))*5)*-4)**2.\nAnswer: -298368*sqrt(19) + 19327120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 18392, 36783, 55174?\n\"Answer: 18391*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 163159\/5 - 32632. Put -2, 11, 2, 468, k in descending order.\nAnswer: 468, 11, 2, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 PM and 2:56 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 4\/3, -0.192, 3\/128 in decreasing order.\nAnswer: 4\/3, 3\/128, -0.192, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 618537 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 6*w = -4*q + 4816, w - 6037 = -5*q. Does 42 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 197101848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 36 (base 7) to base 4\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 + 4*i**2 - 7*i - 5. What is the remainder when m(-4) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1014 + -130200?\nAnswer: -131214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q + 12. Let h be f(0). Suppose -3*d - h = -x, 4*d = -5*x + d + 150. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (18 + -2 - (4 - -3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10604, -10571, -10520, -10451, -10364, -10259, -10136?\nAnswer: -9995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1556247, -1556245, -1556241, -1556235?\n\"Answer: b**2 - b - 1556247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**2 + 10*n + 12. Let k be z(-9). Suppose k*d = -3*d + 96. Suppose -5*h = -24 - d. Calculate the highest common factor of h and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) + 4 + sqrt(13) + -5 + sqrt(1053) + 2 - ((sqrt(117) + 4 + sqrt(117) - sqrt(117)) + sqrt(156)\/(sqrt(12)*-1)).\nAnswer: -3 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*d - 23*d**2 + 5 + 5*d - 3 - 3*d - 4*d to the form v + x*d**2 + s*d and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15 and 3649965?\nAnswer: 3649965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/19929 and -43\/1022?\nAnswer: 39858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-247)\/(-91) - -5) + (-4)\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 298707270.8 and 0.7?\nAnswer: 298707270.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 17807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 15a (base 14) to base 13\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 31*o**2 + 29*o - 7. What is the remainder when f(3) is divided by 116?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 times 6010206?\nAnswer: 871479870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 104 * -2175340.\nAnswer: -226235360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(-2)*(3 - 1). Suppose 0 = -u*r - 135 + 12. Is (-5)\/20 + r\/(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*z + 6*z - 4115 - 4*z + 9*z - 5*z to the form l + j*z and give l.\nAnswer: -4115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 102321\/2 or 51162?\nAnswer: 102321\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 2*x**2 + 9*x + 3. Let n be a(-6). Let l = 5 - 3. Suppose -p + 7 = l. Solve 3*g - f + 1 = -6, 3*f = -p*g - n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -631491*h**5*o**2 + h*o**2 - 3*h*o - 608*o**2 + o wrt h?\nAnswer: -12629820*h**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 2*l + 15. Let i = -38 - -42. Suppose 4*h = -3*p + 44 + i, 2*p + 37 = l*h. What is the greatest common divisor of h and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 337827, 337819, 337799, 337761, 337699, 337607, 337479, 337309?\n\"Answer: -t**3 - t + 337829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*s = 23*s + 25. Put -9, -3, s, 4 in descending order.\nAnswer: 4, -3, s, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18942355 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: Expand (7062*z - 50 + 7063*z - 14124*z)*(4*z + 0*z - 2*z).\nAnswer: 2*z**2 - 100*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -4, -5, -3 in descending order.\nAnswer: 13, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*d**4*j**3 - 12232*d**4*j + 79*d**3 - 2*d**2*j**2 + 170*d*j**2 + 960*j**3 wrt d.\nAnswer: -120*d*j**3 - 293568*d*j + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12136*y**4 + 20*y**2 + 64269*y - 3?\nAnswer: -145632*y**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4413 + -4405. What is the closest to f in 0, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2387 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**2 - 1156359*d. Let z(y) = 24*y. Give z(f(n)).\nAnswer: -24*n**2 - 27752616*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7918 - -7919. Let v = -2 + 2.1. Let c be (46\/22 - 2)*2. What is the nearest to 0 in c, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*m**3 + 103*m**2 - 362*m - 112.\nAnswer: -(m - 8)*(m - 7)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 121*-0.116131\nAnswer: -14.051851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.125 in 3.04, -2\/19, 4, 2\/17, -0.5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 2*h + 8. Let p be (h + 4)\/(1*-1). What is the units digit of (7 + -3)*p\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 935 - 132038?\nAnswer: -131203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 88+4254313103.7\nAnswer: 4254313191.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 0.4, -0.06, 0.1 in decreasing order.\nAnswer: 0.4, 0.1, -0.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-565)\/(-115) - (11 - (1 - -5))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*z + 2*z + 2*z + 0*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d**2\/4 + 482*d - 13447\/4 = 0.\nAnswer: 7, 1921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 31*t**2 + 1745*t + 507. Calculate f(-56).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/812)\/((-1645)\/658).\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22)\/121 + (-3)\/(-77)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -42 + 28. Let g = 24 + -8. Let y = q + g. Calculate the highest common factor of y and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137961179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(112) + -1)*2 - (-2*sqrt(112) - sqrt(112))*5)**2.\nAnswer: -272*sqrt(7) + 32372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 75*o**2 + 19*o**2 - 12*o**2 as i*o + w + j*o**2 and give j.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(6)\/sqrt(98) + sqrt(15)\/(sqrt(10)\/sqrt(2)) + 3*(1*sqrt(15)\/sqrt(5) - (sqrt(363) + 2)).\nAnswer: -202*sqrt(3)\/7 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + o + 2337 = -i, -i = 3*o - 789. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-170))\/((-110)\/(-175) - 24\/56)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3292903 * 4.3.\nAnswer: 14159482.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 169875876 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 19\/4 of a millimeter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 10:35 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*-2*-6*(-7)\/(-84).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2*(56\/16 + -5). Let y(t) = 4*t - 4. Let i(n) = 4*n - 3. Determine f*y(r) + 4*i(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -1915088*c. Let b(i) = 2*i**2. Determine b(r(m)).\nAnswer: 7335124095488*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 65852*i**4 + 338261 wrt i.\nAnswer: 263408*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 8*i + 18 = 0. Let v(d) be the third derivative of 1\/6*d**3 + 1\/12*d**4 + 0*d + 0 - 29*d**2. Let t(j) = 2*j + 1. Give i*v(l) + 5*t(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 - 10. Suppose n*s - 15 = 2*s. Let f(u) = -u**3 + 13*u**2 + 2*u - 16. Let y be f(13). What is the greatest common factor of y and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.2, 1.1, 0, -0.1 in descending order.\nAnswer: 2, 1.1, 0.2, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9)\/(-21) - (128\/(-28) + 0). Factor -236*r**2 + 3*r**4 + 236*r**2 + 4*r**p.\nAnswer: r**4*(4*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -5*z + 2. Let j(h) = 4*h - 1. Let k(x) = -3*j(x) - 2*p(x). Let a = -22198 + 22197. Calculate k(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138701203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 3*(4 + ((sqrt(972))**2 + -4 - (sqrt(24)\/(sqrt(32)\/sqrt(4)) - 3*(sqrt(3) - (sqrt(3) - (sqrt(12) - sqrt(3)))))**2)).\nAnswer: 2875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -8*y + 1. Let b be l(-7). What is the greatest common divisor of 38 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -599.7 + 558.7. Sort -1\/9, -17, o.\nAnswer: o, -17, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 60*z**2. Let t(s) = 18*s**2. Determine t(r(u)).\nAnswer: 64800*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of 11*m**5\/20 - 5*m**4\/12 - 19*m**3\/6 - 1870*m. Let t(n) = -6*n**3 + 3*n**2 + 10*n. Calculate 3*p(s) + 5*t(s).\nAnswer: 3*s**3 - 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 702 = 5*f, 0 = p - 14*f + 19*f - 351. Let m = 504 + p. Is 43 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 202732 at most as big as 202702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o + 3*o**2 - 2*o**2 + 0*o**2)*(5*o**2 - 2*o**2 - o**2) - 21*o**4 - 23*o**2 + 23*o**2.\nAnswer: -19*o**4 + 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**5 - 7*u**4 + 6*u**3 + 17*u**2. Let v(j) = j**5 + 4*j**4 - 3*j**3 - 8*j**2. Let d(z) = 2*n(z) + 5*v(z). Factor d(o).\nAnswer: 3*o**2*(o - 1)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2, -462, -5, -4 in ascending order.\nAnswer: -462, -5, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 884 is divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.04, -2\/79, 5?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 1:33 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 72.5 - -3.5. Let y = -0.1484 + -77.7716. Let g = y + k. What is g rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of 21*k**6\/2 + 83*k**2\/2 + 318*k. Differentiate a(b) with respect to b.\nAnswer: 1260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = -2*a - 4 - 2, -5 = -a - p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 658*a**2 - 599*a wrt a.\nAnswer: 1316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0*(-2)\/4 - -2. Let a(j) be the second derivative of j**3\/2 - j**2\/2 + 6*j. Determine a(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1088) + 1 + sqrt(1088))*6 + -5)**2 - ((4*-1*sqrt(136))\/(sqrt(8) - sqrt(64)\/(sqrt(8) + sqrt(8)*-2)))**2.\nAnswer: 192*sqrt(17) + 156605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(2)*2*-2*-6 + 1.\nAnswer: -4 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/n**(-2\/13)*n\/(n*n**(-1)))\/(n\/n**(-1)*n**(-4)*n)*(n\/(n\/n**(2\/3)))**(-44)*n**(-5)\/(n*n\/((n**(-3\/4)*n*n)\/n)) assuming n is positive.\nAnswer: n**(-4981\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 5, v: 1, o: 9, t: 1, e: 2}. Give prob of sequence co.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/25*125\/(-60)*2\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q - 13 + 51 - 3*q + 120.\nAnswer: -q + 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.0342 - -45.0342. Which is the nearest to i?  (a) 5  (b) 3\/7  (c) -0.1  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*t - 5. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 17  (b) 0.1  (c) 4  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5376066.93 + -5352964. Let k = w - 22991. Let q = k + -112. Which is the fourth smallest value?  (a) 5  (b) 0.1  (c) q  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 AM and 12:50 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 75870648 divided by 1112\nAnswer: 68229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b - b - 5*s + 9, 2*s = 0. Let x be 5*((0 - b) + 4). Solve 4*i - x = -1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/(-2))\/(1\/(-76)). Let l be z\/6 - 2\/6. Suppose -4*x - b = -12, -2*x - 5*b + 24 = -0*x. Solve 8 = x*c + l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 834 + -826. Factor -11*v**4 - 3*v**4 - 2*v**3 + 7*v - 2*v**5 - 3*v**5 - s + 3*v**4 + 10*v**2 + 9.\nAnswer: -(v - 1)*(v + 1)**3*(5*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a - 2*a + a + (4 - 3 - 2)*(2 - 2*a - 2) + 4*a - 2*a - a - a + 0*a + 3*a - a + 2*a + 5*a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/10 + 36\/10. Suppose 5*y - 150 = -5*n, y + k*y = -4*n + 124. Is n equal to 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 20 = 0, 939 = l - 10*g + 11*g. Is 941 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1569428, 1569429, 1569430?\n\"Answer: o + 1569427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/27, 50, -0.7?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**3 + 4*b**2 - 3*b + 20. What is q(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -2  (c) 799  (d) 7\/15  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6 and -1.7807?\nAnswer: -10.6842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -50050, -100116, -150184, -200254, -250326?\n\"Answer: -r**2 - 50063*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*z + 56 = 28*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**2 + 5*r + 2. Let a be g(5). Suppose -1095 = -815*p + 7055. What is the remainder when a\/6 + (-220)\/(-6) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 43 = -5*p + 24, 24*p - 142 = 2*x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 12207994 times -0.6\nAnswer: -7324796.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {a: 2, o: 2, i: 3, y: 4, c: 7}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -3*h - 14. Let q be f(-13). Suppose -d + q = 4*d. Suppose -u + 10 = 2*x - 2, 5*x = d*u - 45. Calculate the least common multiple of 14 and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*a - 36*a - 67*a - 4*a.\nAnswer: -118*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23 - -27. Suppose 333 = d*f + 53. Let o = f - 60. Calculate the greatest common divisor of 4 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8746, -17054, -25362, -33670, -41978, -50286?\nAnswer: -58594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 3 = i, 2*k - 4*i - 6 = -5*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the first derivative of 7*n**3\/3 + n + 19. What is o(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (7 - 10 - 10)*(1 - 1 + 2*s)*(10 + 15 - 17)*(-2*s - 3 + 3) as x*s**2 + i*s + r and give x.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.07 - -0.13. Let u = -4 - 3. Let m = -9 - u. What is the closest to j in 1, m, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -31*r + 5. Let w be d(-4). Suppose 3*l - 85 = -a + 2, 3*l = 2*a - w. Suppose -2*p = -5*j + 2*j + a, -p = -5*j + 127. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - 16 + 22. Solve -5*b + 5*j + 10 = 0, -2*j = -o*b - 5*j - 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -8784 and 777136.\nAnswer: 768352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 12) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -208*o + 671*o + 5556 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 536359 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 284954.9 rounded to the nearest 100?\nAnswer: 285000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 0 - 1)*(-2 + 2 + 2)*(-4*h**4 + 4*h**4 + 4*h**4).\nAnswer: 32*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: c21d (base 14) to base 6\nAnswer: 414215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + -3 - 4 - (-5)\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((2\/1 - 2)\/1)\/2. Suppose p = -h + 5*y + 79, -y - y = 0. Let d = h + -78. Solve 0 = -x - d - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8057?\nAnswer: 7, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2044*c**5 - 4*c**4 - 739*c**2 + 12*c?\nAnswer: 122640*c**2 - 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7847.087t to grams.\nAnswer: 7847087000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8734 and 21893359?\nAnswer: 481653898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 571662?\nAnswer: 2, 3, 7, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -5*q + 5*j - 2*j, -5*q = 3*j - 25 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**2 + 21*r + 80. Let z(p) = -9*p**2 - 37*p + 37. Let d be z(1). What is o(d)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 749 and 703097?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 3 = -31*b + 30*b, -10 = 5*g. Is -40.1 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.04, 28.3, 1\/4, 4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2\/7 - 251*s\/7 + 250\/7.\nAnswer: (s - 250)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -40 - -45. Let w = 2 - 4. Let t = w + 3. What is the third biggest value in d, t, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 134 + -134. Let r(s) = s**2 + s + 4. Let t be r(j). Let g(c) = c**3 - c. Let q be g(1). Sort q, -5, t, -3 in increasing order.\nAnswer: -5, -3, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9?  (a) 2\/21  (b) 4  (c) -1\/2  (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 12*a - 2*a = -17, -5*m - 2*a - 1038 = -1029 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 308 - 308 - 20*i**2 + 2*i**2 - 3*i + 3*i + (15*i**2 + 21*i**2 + i**2)*(-2 - 1 + 4).\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1653 is divided by 277.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dmm when three letters picked without replacement from omdccoomdmmm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 252324 and 49878.\nAnswer: 4289508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3013 or -314?\nAnswer: -314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/5  (b) -2\/3  (c) 7  (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n - 16*n + 2*n.\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 11179576 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: Let a = 1394.2 - 1358.154. Let q = a - 36. Round q to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25 divided by 25\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*65826.\nAnswer: -13165.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/10)\/((-7)\/210). Let y be (f\/(-15))\/(3\/15). Find the second derivative of w - 2*w**5 + 3*w**5 - y*w**5 wrt w.\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 656821 greater than 4597746\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.1 + 188.1. Let t = l + -192.4. What is t rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -135*l = -13*f - 16*f + 25*f - 137*l - 40, -2*l = 3*f + 29 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8195288 or -8195262?\nAnswer: -8195262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 - 6*q + 4. Let k be s(6). Suppose 2*w - 148 = -5*d, -k*d - 3*w + 98 = -19. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 709 by 3.\nAnswer: 709\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 11\/(-1*4\/(-52)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = 3*l + 48. Suppose 0 = -4*z + 18 - 6. Let k(v) = -1 + z*v + 4*v - 3*v. Give k(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-6)*-1)\/(144\/288)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-22)\/(-253) + 5004\/(-414).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15 + 20. What is the greatest common divisor of 25 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1003220 - -15?\nAnswer: 1003235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 59.56302 decades?\nAnswer: 595.6302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*d**2 + d**2 + 0*d**2)*(d + 0 + 0) - 4*d**3 + d**2 + 36 - 15 - 20 in the form r + y*d + o*d**2 + p*d**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/(v**(2\/51)\/v)*v))\/v**(-15\/4) assuming v is positive.\nAnswer: v**(365\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (120\/180 - (-13580)\/(-318)) + (-10)\/(-265).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 9022.535 weeks?\nAnswer: 5456829168000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 4*x - 0*p - 32, 20 = 5*p. Suppose -7 - 5 = -x*d. Solve -3 = -d*r + 3*g + 2, g + 9 = 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 48\/286537?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9608 + -23834. Let p be (-2)\/3 + h\/(-9). Suppose 3*w = 7*w - p. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 5*y - 26 + 5, -3*m + 3*y - 3 = 0. Solve -m*r = -g + 17, 5*r - 3*g - 14 = -44 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5030 a factor of 304309970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-30)\/7)\/((-8)\/56). Find the common denominator of -26 + g + 2258\/(-570) and 26.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a*(a*a**4*a)\/a*a*a)\/((a**(1\/3)*a*a*a)\/a))\/(a*a**(-8)*a**3))**(2\/61) assuming a is positive.\nAnswer: a**(64\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45364486?\nAnswer: 2, 79, 287117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 27405 and 336?\nAnswer: 438480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*m - 20 + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3869358.\nAnswer: 2, 3, 31, 71, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 19 = -2*x + 3*j, 33 = 3*x - 3*j. Let q = x - 10. Suppose -f + 2*f + 2*w = 69, -q*f = 3*w - 139. List the prime factors of f.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5967450 rounded to the nearest one hundred thousand?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum -502.249535 and -219541.\nAnswer: -220043.249535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17 - -37) + (20 - 19) + -3?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -9*c - 39. Suppose 983 = 10*l + 303. Calculate the remainder when j(-19) is divided by l.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 900344?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17133 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-5500)\/220 + 87\/3)\/((-3)\/18)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 0*r = 0. Let o(w) be the first derivative of 0*w**5 + 0*w**2 + 1\/24*w**6 + r*w + 0*w**3 - 1\/16*w**4 + 1. Find x such that o(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -22, -39, -90, -193, -366, -627, -994?\n\"Answer: -3*p**3 + p**2 + p - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 835.20609 rounded to the nearest ten?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*p, -4*a + 5*p = -2 - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80752 divided by -5768.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s - 1. Suppose -6 = -b - 2. What is the remainder when 7 is divided by i(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 plus 248097123744?\nAnswer: 248097123743.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ewe when three letters picked without replacement from {e: 5, b: 1, w: 1, l: 4, h: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 489863887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -217*q = 125 + 92. Let j = -44\/87541 - 29697632\/131924287. Let x = 6\/137 + j. Sort q, 0.5, x, -0.4.\nAnswer: q, -0.4, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 + 358*x - 3242. Calculate the remainder when p(9) is divided by 50.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-40)*-6)\/(24\/10)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 29 + 19. Let i = 22 - h. Suppose 0 = -3*f - 0*f - k + 11, 2*f + 2*k - i = 0. Solve -4*a - f = 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 132624012 divided by 3234732\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2441 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4757270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 446, 1981, 4694, 8711, 14158?\n\"Answer: 21*m**3 + 463*m**2 - m - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.5 + -3. Let f = -720 - -720.09. Which is the nearest to 2?  (a) -5  (b) f  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2 - 11*j - 2. Let u(o) = 17*o**2 + 114. Let q(n) = -2*n**2 - 38. Let f(r) = 3*q(r) + u(r). Give f(t(w)).\nAnswer: 1331*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3213445 is divided by 74730?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3889?\nAnswer: 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 7772 divided by 3886?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 82 + -80. Let p(h) = 47*h + 6. Let i be p(b). What is the greatest common factor of i and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 14 = 4*p, -p - 34 = 3*i - 42 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -4, 0.12, -0.63, -1, 1\/9, -2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + -170?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 91\/(-231) - 4\/(-6). Let n = -444 - -440. What is the smallest value in -1, 3\/4, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - 19\/7) + 44\/(-154). Suppose -7*k = 2*k - 252. Let j be 14\/k + q\/4. Which is smaller: 3\/17 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 874948040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in -1, -5, 3, -1.57?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -14*h + 81. Let l(t) = -19*t + 5. Let n be l(0). Let f be m(n). Solve -f*z - 5 = -12*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*q**3 + q**3 + 5*q**3 + (333 - 127*q**2 - 333)*(7*q - 7 - 11*q + 9*q) in the form d*q**2 + t*q**3 + k + f*q and give d.\nAnswer: 889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4859437 is divided by 2501.\nAnswer: 2495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -0.005, -4, 5?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.1  (b) -4  (c) 3  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 220 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76*((-216)\/(-540))\/(4\/5).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -29*a + 2. What is the remainder when l(-6) is divided by (-2 - 1)*(27\/45 + 234\/(-15))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-2\/25)\/k*k*k**(-4\/3) assuming k is positive.\nAnswer: k**(-106\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1390*q - 1393*q - 5*k = 32, -5*q - 5*k - 50 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 1.23  (b) 0.4  (c) 2\/13  (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v**2 + 115*v - 953. Let t be z(-65). Solve 9*p = 4 - t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 157 - 139. Let w be 182\/4 - (-3)\/(-6). What is the greatest common factor of r and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17199 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 123160 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 + 1. Let z be x(2). Suppose 6*k = 2*k + 4*b + 324, 15 = -z*b. Suppose -4*d - u + k = u, -7 = -d + 2*u. Solve 3 = 5*s - d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a week in hours?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 143c02 (base 15) in base 11?\nAnswer: 606343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*h + 4*r - 12, 3*h - 2*r - 2 + 18 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 AM and 1:15 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/(-15))\/(1851\/25914).\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2348*y - 281767. Determine j(120).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z + 3003 = 615. Let o = 616 + z. Let d = o - 40. What are the prime factors of d?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -8*p**3 - 10*p**2 + 41*p + 7. Let i(g) = -6*g**3 - 7*g**2 + 27*g + 5. Calculate -7*i(x) + 5*t(x).\nAnswer: 2*x**3 - x**2 + 16*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 250147717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 195\/341 - 7\/11. Suppose 3*o - 2*o = 5*o. Does g = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 2555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from faflaffcaafacffac. Give prob of sequence lfac.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*1)\/(-2)*(-28)\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -17, -89805, -3 in increasing order.\nAnswer: -89805, -17, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.14 + -4.140000008. What is k rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 96761 + -57088. What is the ten thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -127 - -73. Let g = -52.76 - j. Let o = g + -1.264. What is o rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 1.2019156\nAnswer: 4.8076624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3577306322?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 787 - 1165 = -21*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 12\/11, -0.004, -0.044, -96?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c + 4. Let n = -6 - -3. Let g be m(n). What is the remainder when 34 is divided by (g\/(-4))\/(2\/48)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 4 = z. Let i be (0 - -3) + 2\/14*0. Suppose -v + 2*h = -z*v + 1473, i*v - 2*h - 4387 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -344038418*n**4 + 2610*n**2 + 28538.\nAnswer: -8256922032*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from pppppmppmppp?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j. Let q be 11\/11 + (-16)\/2. Give r(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*o + 0*o - 2*o)*(-1 + 0 + 0) + (3 + 0 - 5)*(11 - 2*o - 12 - 4*o) to the form m*o + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.22 - -0.28. Let c = -29.006 - -0.006. Let n = c + 30. What is the smallest value in u, n, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1073875281 to the nearest 100000.\nAnswer: 1073900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/((6\/(-52))\/(-3)). Suppose 2*p + d = i, -3*p + 3*d - 8 = -4*p. Calculate the remainder when (-52)\/(-5)*80\/32 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 389241373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 413 + 399586994535.\nAnswer: 399586994948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {n: 5, u: 4, z: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((4\/6)\/((-1)\/(-93)))\/((-82)\/(2788\/(-68))).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.5 + 0.3. Let n = -24 + 24.5. Sort o, n, 0 in descending order.\nAnswer: n, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -145 - -0.025?\nAnswer: -144.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 - 3*c. Let u(v) = 3*v**3 + v**2 + 7*v. Let q be 3 - (-6)\/(-9)*-3. Let y = -38 + 40. Calculate q*f(a) + y*u(a).\nAnswer: a**3 + 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 + 3. Let j be (-3 + (-3 - -2))\/(-2). Suppose 4 = j*w - 2. Let b(c) = -c - 2*c**3 + 5 + c. Calculate w*b(r) - 5*y(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tqttttttqgiqtggtti. Give prob of picking 1 i, 2 g, and 1 q.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2820 and 2553510.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 352 (base 11) to base 3.\nAnswer: 120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s**4\/6 + 365*s**3\/2 + 8819*s**2\/6 + 1855*s\/2 - 27575\/3 = 0 for s.\nAnswer: -5, 2, 1103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 w, and 2 c when four letters picked without replacement from tdctwcqtdwqdw?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 2\/3832155 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 3*l + 5*b + 10, -2*l + 3*b = 16. What is the units digit of l\/((-20)\/(-8)) - -19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - 0) + 4\/6. Let n = -619\/5523 + -137\/789. What is the nearest to 1 in f, n, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46565867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 29300729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2155\/85 - (-6)\/(-17). Let q(w) be the first derivative of -1\/4*w**4 - 10\/3*w**3 - 9*w + 0*w**2 - n. What is q(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -350 - -345. Let p = 0.02 + 2.98. Let d = p - 1. Sort -2, s, d.\nAnswer: s, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -865, -2, 5, 2 in descending order.\nAnswer: 5, 2, -2, -865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -2*q**3\/3 - 10658*q**2\/3 - 14225728*q\/3 - 70862440\/3 = 0.\nAnswer: -2662, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 34.5 times 0.7631\nAnswer: 26.32695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -237430 (base 14) in base 6?\nAnswer: -41542054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*n - 232 = -11*n. Suppose -18*g = n*g + 130. Let t be (-4 + 3)\/(5\/2). Which is the nearest to -1\/2?  (a) -8  (b) g  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*v**2 - 4561 - 438*v - 1979 + 437*v to the form i*v + q*v**2 + k and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3 - 7)\/(-1 - 1*-2). Let i(z) = -z**2 - 3*z + 9. Let a be i(y). What is the third derivative of -17*w**5 - w**a - 4*w**5 + 11*w**2 wrt w?\nAnswer: -1320*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, m: 3, o: 3}. What is prob of sequence mmmv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - ((-1 - -3) + -2 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s + 2. Let b be r(5). Let a = 8 - b. Solve -3*c + 9 + 2*c**2 - 9*c + 4*c - a = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (s + s - 6*s)*(6*s**2 + 8*s**3 - 6*s**2 + (54*s + 37*s - 8*s)*(-s**2 + 7*s**2 - 2*s**2)) as c*s + g*s**2 + k*s**4 + m + h*s**3 and give k.\nAnswer: -1360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000979 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 68\/(-3) + 4\/6. Let k(s) = -3*s**3 - 2*s**2 - 3*s + 3. Let b be k(2). Let a be w\/(-5) - (-14)\/b. Solve -4*i = -2*v + i, 0 = -a*v + 4*i - 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.2 + 0.7. Let z be (-2048)\/(-1280)*(-1 + (-19)\/(-14)). Which is the nearest to -0.5?  (a) -4  (b) s  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**2 - 1. Let p(h) be the third derivative of h**6\/60 + 3*h**5\/20 + h**4\/24 - 2*h**3\/3 + 12*h**2 + 3. What is -4*m(y) + p(y)?\nAnswer: 2*y**3 + 5*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/((-4)\/(-2*6)) + 3409. Let v = 844 - d. Does 15 divide (v\/(-18) - 5) + (-2)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 - -51. What is the smallest common multiple of m and ((-14)\/10)\/((-84)\/1260)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1515377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 495, 182, -339, -1068, -2005, -3150?\nAnswer: -4503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/308877 and -73\/132.\nAnswer: 13590588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 3 - 13. Let o = 85 + -35. Calculate the highest common divisor of o and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 114 = -0*w. Calculate the remainder when w is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2438 - -7119. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.3  (b) 12  (c) 5  (d) -2\/7  (e) 1  (f) -1508\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - 3 - 1) + 1. Let d(i) = 309999*i**3 - 2*i**2 - 2*i - 1. Let c be d(k). What is c rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22282100 and 95690.\nAnswer: 155974700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2000 + 11?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9861*x**3 - 104*x**2 - 27?\nAnswer: 59166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 51*((1 - 2) + (-36)\/(-27)). Solve c*q - 4 = 16*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -6*u**3 - 22*u**2 - 79*u + 2. Give j(-3).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -491*d**2 + 6*d + 9. Let s(h) = -2*h**2 + 2*h + 3. Determine -3*s(w) + v(w).\nAnswer: -485*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (21 - 26) + 18\/(-576)*-163\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 603652 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 167735?\nAnswer: 5, 33547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -186*j - 4 + 2 + 90*j + 89*j + 5.\nAnswer: -7*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w = 14*w - 220. Let k = w + -26. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22228 divided by 94.\nAnswer: 11114\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 109816 and 17612?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 3*n = -1118. Let p = -558 - -609. Calculate the remainder when n is divided by p.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes before 1:50 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is p in p**3\/6 + 14*p**2 - 49*p\/6 - 13266 = 0?\nAnswer: -67, -44, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:51 AM and 1:11 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 22314, 45398, 68482?\n\"Answer: 23084*w - 770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 203, 53 in descending order.\nAnswer: 203, 53, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one quarter of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = 5*a + 7. Let r(l) = l - 1. Let u be r(10). Let z(g) = 8*g + 16. Let y be z(u). What is the greatest common factor of y and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 235637584 to the power of 1\/2, to the nearest integer?\nAnswer: 15350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (-11 - -2) - 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -13*l - 9. Let j(x) = -7*x - 5. Let m(z) = 11*j(z) - 6*p(z). Let f be m(2). Let k = -1.688 - -1.488. Are f and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 1452*i - 1499. What is w(1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 0 = 2*i + 4, 0 = 4*i. Let q be 1 - (-1 + c + 3). Sort q, -5, 2\/17 in decreasing order.\nAnswer: 2\/17, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -53 - -61. Let x be (12\/s)\/((-2)\/4). Put -1\/8, x, -4 in decreasing order.\nAnswer: -1\/8, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 0*u + 3*a = -12, -3*u = 3*a + 6. Suppose 0*m + 87 = -u*m. Let s = m - -38. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15)\/6 - -4 - 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1152)\/(-2880))\/((3\/10)\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 29695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 - 396 = -7*p. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-12)*-3*12\/(-198)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4927 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14082 is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - -1*33\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*m + 145*m = 43*m + 2145 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*w + 2*w - 4*w)*(-2*w**2 - w**2 + 5*w**2) + (322*w**3 - 247*w**3 - 397*w**3)*(0 + 0 - 1) to the form i*w**2 + c*w + v + m*w**3 and give m.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 30, 2, -151, 6, 1, -4 in increasing order.\nAnswer: -151, -4, 0, 1, 2, 6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -n. Let h(r) = r - 2. Let t be h(-2). Let v be t\/6*3\/(-10). Are n and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49468300 is divided by 74.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1441 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: What is the closest to -0.2 in 4\/9, 97\/3, 5\/4, -14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3\/(-6) + (-4493564)\/(-72) + (-40)\/360?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79.1871us to minutes.\nAnswer: 0.000001319785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 112020 (base 6) in base 8?\nAnswer: 22454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.09 + 0.21. Which is the smallest value?  (a) n  (b) -1  (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the second derivative of 2*z + 1\/6*z**4 + 0 + 3\/2*z**2 - 1\/2*z**3. Let g be h(2). Solve 0 = -g*y + 3*d + 16, -3*y - 2*d + 6 = -5*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 2*l - 2. What is the biggest value in 2\/17, -0.7, l?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3769779 to the nearest integer?\nAnswer: 1942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2791937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 2*z**3 - 2*z**2 + 3*z - 3. Let g = 10 + -5. Suppose 0 = 5*m - 4*c + 10, 0 = -2*m - 0*m - g*c + 29. Suppose -p + 0 = -m. What is v(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.06 and -20049461309.2.\nAnswer: -20049461309.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 4 = 4*w, -3*w + 18 - 23 = i. Solve 6 = -x + i*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(567) + -4 + -4*sqrt(567)*5 + (-4 + sqrt(567) + 4 - (sqrt(567) - (sqrt(567) + (sqrt(567) - (sqrt(567) + 1)) - sqrt(567)))*2))**2.\nAnswer: 2520*sqrt(7) + 226849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -648*a + 637*a + 49357. Is a a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 22*u - 87. Let t be r(-26). Suppose 1496 = -6*j + t*j. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 163\/175201 or 0?\nAnswer: 163\/175201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 450*d**2*i**2 + 2*d**2*i - 1024633*d**2 + d*i + 395847*i**4 wrt i?\nAnswer: 900*d**2 + 4750164*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -675945, -1351892, -2027839, -2703786, -3379733?\n\"Answer: -675947*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29770?\nAnswer: 2, 5, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-20)*-2 + (-32)\/20\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (16\/10)\/(6\/15). Suppose 3*h + 21 = 2*p, -5*p + h - 2*h + 10 = 0. Suppose -u - q = u - p, f*u = q - 3. Which is greater: -1\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 289723573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/330 and 145\/12?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 51 - 39 = 0. Suppose b - 48 = -j + 120, 0 = k*j - 3*b - 686. Is 51 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1597.985 - 1600. Let n = 0.815 - 0.8. Let l = h + n. Is -4\/3 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-47*x + 46*x + 8 + 13)*(-4 + 4 + 2*x) in the form m + r*x**2 + t*x and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -297.782 + -7.218. What is the closest to -0.1 in -0.3, q, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -33.6 + -5.4. Let x = 39.056 + w. Round x to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 167 - -6156614924.949.\nAnswer: 6156615091.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(152)*-3)\/(sqrt(72)\/(sqrt(9)*2 + sqrt(9))) + (-2*(sqrt(19) - -5*sqrt(475)))**2 + -1.\nAnswer: 9*sqrt(19) + 51375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/95, -60\/7, 67, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**2 - k + 6. Let f be w(-3). Suppose f*o - 2757 = -3*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, 1\/4, 47, -5, 1\/10, 2\/13.\nAnswer: -5, -2\/9, 1\/10, 2\/13, 1\/4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the third derivative of 3*t**5\/20 - 111*t**2. Let k(u) = -2*u + 0*u + 3*u. Determine r(k(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**2 - y + 2. Let j be t(0). Is 5\/3 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20651792 to the power of 1\/2, to the nearest integer?\nAnswer: 4544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes after 6:14 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the second derivative of -u**5\/110 - u**4\/33 + u**3\/33 + 2*u**2\/11 + 5*u. Find c such that k(c) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 325 and 6305.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -1 - (-11 + 8 + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(684) + sqrt(684)*2 - -2*sqrt(1900).\nAnswer: 38*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1820*l**2*t**2*y + 3*l**2*y**3 - 2*l*t*y**3 + 6*l*t*y**2 + t**2*y**3 - 48*t**2*y + 83*t*y**3 + 2*y wrt t?\nAnswer: -3640*l**2*y + 2*y**3 - 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*c + 4*c - 19*c = 441 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1954*g**4 + 463*g**2.\nAnswer: -46896*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 12 = -6. Suppose 22 = b*s - 2*s + 3*d, -3*d = 2*s - 14. Let h = -3 - -7. Solve -s*z - 5*r = -21, h*z - 20 = -2*r - 2*r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15600668 by 7800334.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**2*m**3*p + 2*a**2*m**3 - 58*a**2*m*p + a*m - a*p + 125*m**3 wrt a.\nAnswer: 4*m**3*p + 4*m**3 - 116*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -258*l*w**2 - 3*l*w + 1840*l - 4144*w**2 + 47*w wrt w.\nAnswer: -516*l - 8288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 3*u**2 + 2 - 9*u**2 + 4*u**2 - 3*u**2. Let o(f) = -9*f**2 + 4. Give -4*o(p) + 7*z(p).\nAnswer: p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-5)*h)\/h**(-4))\/(h**(1\/5)\/((h\/h**(-2\/13)*h)\/h))*(h\/(h\/(h**(-6)*h))*h*h\/h**(3\/8)*h)**(-5\/7) assuming h is positive.\nAnswer: h**(13287\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*b - 5014 = -29*b + 2*o, 5*o = -2*b + 1994. Solve 1044 = 7*l + b for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3713.1 * 1.7.\nAnswer: 6312.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + (16 + -4)\/3. Suppose -5*f - 115 = -m*x, 0 = x - 5*f + 4*f - 41. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 9*c - 70. Give n(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 + 1. Let g be -6*(5\/(-3) - -1). Suppose l = 5*l - 56. Put x, g, l in decreasing order.\nAnswer: l, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 1 = 0, -3*g + 3*t = -0*t - 87. Let k = g - 19. Calculate the greatest common divisor of 81 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1810\/3 or 604?\nAnswer: 1810\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 350 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = r + 247999973, 5*r + 1239999862 = 2*p - 4*p. Let d be (1 - r\/20) + 2\/5. What is d rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5678778 is divided by 580?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53601*i**2 + 74541*i**2 - 25784*i**2.\nAnswer: 102358*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-315)\/140*4\/(-6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-7) + 8814\/(-7910) + 2\/(-20)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p**4\/3 - 218*p**3\/3 + 346*p**2 - 1408*p\/3 + 472\/3 = 0. Calculate p.\nAnswer: -59, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 21018229 divided by 6\nAnswer: 21018229\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3844 and 620?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) 0.6  (c) -0.061\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-24)\/(-63) - 2\/(-7). Let p = 151 + -140.7. Let o = p - 10. Which is the second biggest value?  (a) n  (b) 6  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of -3*w - 1\/2*w**2 + 0 - 1\/2*w**3 + 1\/4*w**4. Is k(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/5, -1\/4, -4, -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2767?\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/5  (b) 1.2  (c) 0.5  (d) 773\/168  (e) -0.3  (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 5933.44 centimeters?\nAnswer: 59334400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 + 5. What is the remainder when v(0) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b**2 + 4*b - 1. Let l = 4 + -7. Let z be f(l). Find the second derivative of p**5 + 2*p**z + 8*p + p**5 + 2*p wrt p.\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -126  (b) -2\/11  (c) 0  (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 3  (b) -1\/2  (c) -2\/3  (d) -101395  (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 12b - b5?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 - (3 + -25)\/1. Suppose 2*g - 15 = z. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 211347?\nAnswer: 3, 23, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 - ((-4)\/28 + (-204)\/42). Solve b*h - 11 = f, -3*f + 3*h - 6*h + 21 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1338366 * 0.058.\nAnswer: 77625.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17312, 18547, 20606, 23489?\nAnswer: 27196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 396 - 365. Let c be -17 + (0 - -2)*-1. Let s = c + q. Solve -z + 5*z = -s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1268*h - 2531*h + 1263*h - 1 - 49*h**2 in the form o*h + x + w*h**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1070 - -1840. Let t = 1541\/2 - q. What is s in 1\/8*s - t*s**2 + 1\/4*s**4 + 1\/4 - 1\/4*s**3 + 1\/8*s**5 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 + -11100100111?\nAnswer: -11100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00780033 rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 77195897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52474 is divided by 3078?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -3*w**3 + 10*w + 8. Let m be b(-2). Let j(x) = 5*x + 5*x + 5*x - m*x. Let o(h) be the third derivative of -7*h**5\/30 - h**2. Calculate o(j(l)).\nAnswer: -126*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2541353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 949 is divided by 372?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 1444*p + 5779. Let z be x(-4). Factor -2\/5*g**z - 8\/5 - 4\/5*g**2 + 14\/5*g.\nAnswer: -2*(g - 1)**2*(g + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 775 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/10*28\/(-42))\/(1\/(-2)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b**2 + 12*b - 12. Calculate the remainder when 81 is divided by w(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.9 + -0.8. Let m = 11083 - 11086. Which is the nearest to -3?  (a) d  (b) m  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of o**3*q*t*u - 37*o**3*q*t - 3*o**3*t*u + 2*o**2*q*t - o**2*q - o*q*t*u - 4*o*q*t + 2*o*t*u wrt o?\nAnswer: 6*q*t*u - 222*q*t - 18*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of 1\/6*o**3 + 0*o - 1\/30*o**5 + 22*o**2 - 1\/24*o**4 + 0. Let h be ((-6)\/(-2))\/(24\/(-16)). Give n(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1468 + -859. Let g = -65 + d. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-41)\/(3936\/1296) - -14.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -12*g**2 - 141*g - 8. What is x(-12)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v - 6. Let z be o(0). Let j be ((-2)\/z - 1)*159\/(-2). Suppose -l + j = 2*r - 0*r, 5*r - 38 = -l. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 10*v + 19268 - 19918 = -57*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 19 = -5*g + 6, w + 3 = 3*g. Let c = -10 - w. What is the second biggest value in -3\/2, c, 0.5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24 + -16. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -75, -299, -679, -1215, -1907, -2755, -3759?\nAnswer: -4919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 727706461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 2648251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 6*k = 15. Let o(u) = 4 - u - 3 + 1. Let z(q) = -3*q + 5. Calculate k*z(c) + 8*o(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -4*j + 1. Suppose 18 = -g - g. Is i(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in eleven halves of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, 21, 23, 7, -33, -103, -209?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 592 - 5419\/9. Let o = -493\/63 - h. Is 1 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6461 - -6470. Let f(r) be the first derivative of -r**3 - y*r + 15\/2*r**2 - 3\/4*r**4 + 23. What is l in f(l) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -387 - -1052. Is z > 665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.5874 and 188249.\nAnswer: 188248.4126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 - -13. Solve 0 = o*k + 10 - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 213*k = -4*h + 173*k - 68, 2*h - 4 = -15*k + 14*k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 3*q + 813, 5*u - q = q + 2060. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -341 (base 5) to base 8\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of n**5\/60 + 47*n**4\/18 + 62*n**3\/9 - 54*n**2 + n. Factor t(d).\nAnswer: (d + 62)*(3*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/6*(-1053)\/(-2925)*375\/360.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -6*g - 10. Let f(z) = -605 - 634 + 1240. What is 8*f(w) + y(w)?\nAnswer: -6*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 61\/4 of a meter?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 6, 5*t + 5*w - 430 = -0*t. What is the remainder when 329 is divided by t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of 9*p**5\/20 + p**4\/3 + 2*p**3\/3 - 3*p**2\/2 - 636*p. What is n(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -39*n**4 - n - 44*n**4 - 5*n**2 + 0*n + 79*n**4 - 1 + 3*n**3 to y*n + s + z*n**4 + h*n**3 + d*n**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -380.5 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 305045*p**3 - 270465*p**2 - 33600*p - 980 = 0. What is p?\nAnswer: -14\/247, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -27*k - 317314 + 58*k**2 + 634632 - 317317 to the form q*k**2 + v + j*k and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oooyopoooyappoppoooy. What is prob of sequence py?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-760)\/30 - 12.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of -a**6\/360 + a**5\/15 - 17*a**3\/3 - 19. Let u(d) be the third derivative of s(d). Calculate u(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - m = 3*m + 106, -5*w + 4*m + 241 = 0. Calculate the highest common factor of 36 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the third derivative of 653*p**8\/336 + 89*p**5\/60 + p**3\/3 + 75*p**2. Find the third derivative of x(l) wrt l.\nAnswer: 39180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1892*g + 2768.\nAnswer: 1892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*j**3*y - 268*j**3 + 3*j**2*y**3 + j*y + 27636*y**3 wrt j?\nAnswer: -12*j*y - 1608*j + 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2702 is divided by 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 47417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -4*c. Suppose k = -3*s - 5, 2*k + 4*s + 4 = -c*k. Suppose -217 = -4*o + 3*m, -o = -3*o - k*m + 92. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/1736 and ((-177)\/4720)\/((-126)\/1270).\nAnswer: 10416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*c - 27 + 27)*(-c + c + c**2)*(c - 5*c + 2*c)*(3 - 3 - 2).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 5*x = -120. Let k(v) = -v**2 + 72. Let g be k(-6). Suppose g*f = 305 - 17. What is the greatest common divisor of x and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1072*n**3 - 503*n**3 - 485*n**3.\nAnswer: 84*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 6\/7*m**3 + 0*m - 4\/7*m**2 - 2\/7*m**4 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -312 divided by -5.\nAnswer: 312\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2048 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -142 - -10. Let y = -48857\/7310 + -12\/731. What is the common denominator of (-2)\/(-6) + 74\/s and y?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the second derivative of -7*u**6\/6 + 61*u**5\/4 + 85*u**4\/2 - 290*u**3\/3 - 100*u**2 - 3003*u. Let c(r) = 0. What is r?\nAnswer: -2, -2\/7, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-3)*(-4)\/(-20)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 431 is divided by 51?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c + 23. Determine t(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -143 + 174. Solve -a = 6*n - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 272 and 18088.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.0941921179075 and -0.024.\nAnswer: 0.0701921179075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 + 44*p + 47. Calculate the remainder when b(11) is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/4 or -84?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 take away 10251408235113?\nAnswer: -10251408235113.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1419, -2283, -3163, -4065, -4995, -5959?\n\"Answer: -u**3 - 2*u**2 - 851*u - 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -64548.\nAnswer: -64548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 + 20. Let n be 4\/(-8)*(1 + -1). Sort 16, m, n.\nAnswer: n, m, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 11 = 12. Let s be (x\/(-2))\/(2\/(-92)). Let a be (-14)\/(-98) + s\/7 + 2. Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -2*f**5\/11 + 7015020*f**4\/11 - 6151306185026*f**3\/11 - 12302633415120*f**2\/11 - 6151320215072*f\/11 = 0.\nAnswer: -1, 0, 1753756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*c = -c + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002230448 rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3\/7628 + 476723\/68652. Let i = -73902 - -6946871\/94. Find the common denominator of i and t.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 - 9*k**2 + 10*k + 2. Let x be n(-10). What is y in -y - 2*y**x + y**2 - 2 + 2*y**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1896\/1185)\/(4\/2070*3). Is f < 277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -97.9 - -98. Let r = 0.16 + -0.06. Which is the closest to r?  (a) l  (b) 5\/2  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -289 + 3755\/13. Let d = -2 + 5. Put x, d, 4 in descending order.\nAnswer: 4, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**5 + z**2. Let a(d) = 10*d**5 - 2*d**2 - 14*d. Let w = 35 - 33. Let b(o) = w*c(o) + a(o). What is the second derivative of b(h) wrt h?\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/172 and -91\/58308?\nAnswer: 58308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -141\/34 - -689\/408. Let b = -19147\/28 + 2433\/7. Let r = 333 + b. Find the common denominator of r and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 f when three letters picked without replacement from {o: 2, l: 1, x: 2, f: 1, v: 6}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n\/n**(5\/13)*n)\/n)\/n)\/((n\/(n\/n**(-1\/8))*n)\/n)*n**(-2\/69)\/((n\/(n\/n**(2\/23)))\/n*n) assuming n is positive.\nAnswer: n**(4481\/7176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -2\/5, 2, 7\/15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + -2. Calculate the lowest common multiple of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22bc (base 16) to base 12\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13.6 + 13.6292. Let n = -2.4 - -2.37. Let r = w + n. Round r to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2774774*n**2. Let c(b) = 2*b. Calculate c(f(h)).\nAnswer: 5549548*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -11. Let z = -44661 - -44660. Which is the nearest to 1?  (a) z  (b) -26  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87*d + 90*d + 36 = 0. Let x be (108\/(-21))\/(d\/112). Calculate the greatest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 27.8 - 27. Suppose 4*b + 16 = 4*g, -3*b - 2*g = -g + 8. Sort n, b, 2 in decreasing order.\nAnswer: 2, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/5 + 4 + (-24)\/4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1030*l - 61 - 2609 = 39582 + 2038 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*i + 13*i + 93*i**3 + 7*i**2 - 95*i**3 in the form t*i**2 + y*i + d + p*i**3 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1001221210 (base 3) to base 5\nAnswer: -1133413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v - 6 = -8*v. Let q = v + -4. Let d = q - -7. Calculate the lowest common multiple of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1000000011111011 (base 2) in base 3?\nAnswer: -1200021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9942990*i**2 - 16371756*i wrt i?\nAnswer: 19885980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4.03 - -0.03. Let x = 150 + -145. Which is the biggest value?  (a) t  (b) -2\/5  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*f**3 - 2*f**3 + 10*f**3 + (f**3 + 0 + 0)*(-3 + 3 + 4).\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 793a + -32?\nAnswer: 7908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1931 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2\/9 + 39920*x\/9 + 2647286\/3.\nAnswer: -2*(x - 20157)*(x + 197)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -1526*n - 1517. Let b be m(-1). Solve -u + b - 7 = 3*k, 0 = 4*k + 5*u - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 + 25*q + 7. Give g(-19).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 217*n + 2 - 134*n.\nAnswer: -351*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -52*q + 67. Let i(m) = -103*m + 133. Let n(d) = -3*i(d) + 5*s(d). What is the derivative of n(h) wrt h?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 + 19. Solve t + 4*j = -t - 26, -3*j = -t + s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as -53\/111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.4006239ng?\nAnswer: 0.0000000004006239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 198 - 209. Let u(k) = k**3 + 11*k**2 - k - 6. What is u(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1950146 divided by 27?\nAnswer: -1950146\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 2 = -5*c + 7, 4*s + 5 = c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 5641*s + 515. Is t(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6c + 6210?\nAnswer: 6171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84428 = 136*g + 87964 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(121) - sqrt(121)*2*6)*-4)\/(sqrt(176) + sqrt(176)*-2*4 + sqrt(176) - -2*1*sqrt(176)).\nAnswer: 11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 + 11. Suppose 0 = -m + 2*l - 6, 0*m - 5*l + x = -3*m. Let k(h) = 6*h**2 + 3*h + 1. Is k(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(13) - (sqrt(325))**2) + 3.\nAnswer: -2*sqrt(13) + 653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z**2 + 0*z**2 + 5861*z**3 - 880*z**3.\nAnswer: 4981*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {t: 2, p: 2, g: 8}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 + 11*i + 11. Let r be j(-10). Suppose -r = h - 0. Let x = h - -4. Solve -2*m - 1 + x = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9\/2 + 4. Let c = -17.41 - -17.31. What is the closest to c in 1, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 102210 (base 3) to base 6\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6662943967?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (187\/(-77) - 16\/28)\/((-6)\/(-44)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-189))\/((-24)\/756).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l**(-4\/5))**28)**21)**14 assuming l is positive.\nAnswer: l**(8232\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 219579336 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: Suppose 90 + 450 = 6*i. Let o be ((-108)\/i)\/((-69)\/30 + 2). Solve -2*d + 20 = o*g, d - g + 0 = -2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 2*z. Let o(m) = 34301*m - 418. What is j(o(v))?\nAnswer: 68602*v - 836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 10, d: 3, k: 2}. Give prob of sequence ak.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 c when three letters picked without replacement from cxckxcc.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6\/5, 0.2, 4\/7, -2, -31 in descending order.\nAnswer: 6\/5, 4\/7, 0.2, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 1:56 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5735591?\nAnswer: 29, 197779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 225 a factor of 9363753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -2592.\nAnswer: 1\/1296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 4*c - 34 = 0, -3*c - 2*c - 10 = 0. Is (-3)\/(-21) + (-2000)\/b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z + 7. Let w be y(-5). Let q(o) = -o - 3 + 5 - 3. Let i(a) = -a - 1. Suppose -2*b + 3 + 1 = 0. What is b*q(f) + w*i(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of -c**3\/6 - 77*c - 1. Let w(k) = -6*k - 4. What is q(w(d))?\nAnswer: 6*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, q: 4, c: 3}. What is prob of picking 2 c and 1 i?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1455872, -1455871, -1455870?\n\"Answer: h - 1455873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7071420 at least -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -90793\nAnswer: 3\/90793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1595798*t**4 - 1453121*t**2 wrt t.\nAnswer: -38299152*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1623.82 to the nearest ten.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 divided by 510.\nAnswer: -19\/510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 394*c**2\/3 + 404*c\/3 + 10\/3.\nAnswer: 2*(c + 1)*(197*c + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1659, -1645, -1619, -1581, -1531, -1469?\nAnswer: -1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 + 6*r**2 + 4*r - 8. Let u be n(-4). Calculate the greatest common factor of u and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00386341 to 4 decimal places.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 3 + 0 - 3*m + 4*m. Suppose k = 3, 3*k - 2*k = 5*y + 13. What is t(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2201, 2196, 2191, 2186?\nAnswer: 2181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 372359 is divided by 733?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 201 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*v + v - 410. Let c = 86 + v. Solve 0 = -c*x + x - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 5*l - 92, -4*l + 128 = 7*t - 3*t. Let p(s) = s**2 - 36*s + 100. Let q be p(t). Calculate the highest common divisor of 40 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - (3 - 19)) + (8 - 8) + 24 + -4.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 1 + 2 + 2 + 3*y**2 - 2*y. Let j(k) = 0*k - 2*k + 4*k**2 + 5 + 1. Let d(g) = 6*a(g) - 5*j(g). Find the second derivative of d(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -b17c6 (base 15) to base 9\nAnswer: -1045836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 304\/(-14) + 22 - (-1395)\/(-7). Are i and -200 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 275 - 310 = 0. Let u(g) = -g**3 + g**2 + 11*g + 6. Let d be u(6). Let z = d - r. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eedeteiyeeidee. Give prob of sequence ydi.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, 5, -30, 0, -67 in ascending order.\nAnswer: -67, -30, -4, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 + 13*p + 36. Let u be n(-8). Sort -5, -3, -23, -1, u.\nAnswer: -23, -5, u, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1022319 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2 - i**2 + (-7 + 63 + 2)*(-36*i**2 - 33*i**2 + 74*i**2) + 3*i**2 - i**2 - i**2 as l + d*i + w*i**2 and give w.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 2*u = -20, -4*p - u = -23 + 3. Let y(c) = 15*c. Let t(w) = -7*w. Let v(h) = p*y(h) + 13*t(h). Let s(b) = 9*b. Give v(s(d)).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2\/2567 + -367073\/10268. Which is smaller: -35 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 5) + (-30)\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:51 AM and 6:29 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (79 - 35) + -24 - -56.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 + 36*y**2 - 116*y + 32. Let r be h(-39). Let q(a) = -a - 6. Let t(n) = -3*n - 11. Let b be (77\/14 - 6)\/(2\/(-16)). Give b*t(x) + r*q(x).\nAnswer: -5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5167 is divided by 103.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-3))\/((-440)\/(-60)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -231 - 151. Is w a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5.2 - 0.2. What is the third smallest value in l, -3, -1\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.072585 * 33.\nAnswer: 2.395305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5679, 10634, 14865, 18372, 21155, 23214?\nAnswer: 24549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-9))\/(20\/150).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 + 17*b - 14. Let q be g(16). Solve -q*h + 5 = -5*x - 3, -4 = 4*x - h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/24)\/((-219)\/1168).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {g: 3, j: 8, z: 1, m: 2, f: 2, k: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00749847 to five decimal places.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the first derivative of 16*a + 1\/2*a**3 + 3\/2*a**2 - 15 - 3\/20*a**5 - 1\/4*a**4. Let r(t) be the first derivative of b(t). Factor r(j).\nAnswer: -3*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 + 2. Let u be -5 + 6 + (-2)\/3. What is the nearest to u in -1\/5, -0.4, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2210022222100 - 12111?\nAnswer: -2210100011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 14) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*y + 5*s - 79, -6*y - 11375*s + 11377*s = 62 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = -2*b + 5, -411*b = j - 415*b + 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 127, 129, 129, 127?\n\"Answer: -f**2 + 5*f + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 211*w - 60 = 226*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 AM and 2:22 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of -349*r**4\/4 - 994*r**3\/3 + 532. Find the third derivative of l(k) wrt k.\nAnswer: -2094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 4, r: 3}. Give prob of picking 4 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 32 = 5*b, 5*b + h - 19 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 786*b + 36 = 790*b, 0 = -r - 2*b + 42850. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 464668212?\nAnswer: 2, 3, 607, 63793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 plus 59.5?\nAnswer: 59.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -68.6 - -67.9. Which is the smallest value?  (a) -1\/4  (b) 1  (c) j  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 + 12. Suppose -g - 12 = -j*g. Suppose -3*i = -2*a - g, -4*a = -2*a - 6. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -103 - -103. Suppose 7*f - 3*f - 5*w - 1555 = m, 3*f = -w + 1190. List the prime factors of f.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -4*j**5\/9 - 8*j**4\/9 + 8*j**2\/9 + 4*j\/9 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 356259302.\nAnswer: 2, 7, 3635299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -112891289, -112891284, -112891267, -112891232, -112891173, -112891084, -112890959, -112890792?\n\"Answer: t**3 - 2*t - 112891288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -39690869 divided by -8\nAnswer: 39690869\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m + 40. What is the remainder when 63 is divided by v(18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 6:51 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lww when three letters picked without replacement from {w: 14, l: 1, i: 1}.\nAnswer: 13\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4907*l**2 + 17049*l.\nAnswer: -9814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -110144 + -1?\nAnswer: -110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133373 is divided by 173?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2 - 2101925*z - 6305820.\nAnswer: 5*(z - 420388)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, r: 1, l: 7, d: 4, w: 3}. Give prob of picking 2 w.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**4\/13 + 75886*z**3\/13 - 4558446*z**2\/13 + 72734378*z\/13 - 127842092\/13 = 0. Calculate z.\nAnswer: -38003, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -384 divided by -253761.\nAnswer: 128\/84587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 410890 and 3060.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 - 23*v**2 + 120793*v + 22*v**2.\nAnswer: -v**2 + 120793*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.715189 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83*p**2 + 559*p - 559*p.\nAnswer: 83*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l**2 + 3*l**2 + 12806 - 2983 - 3135 + 11270.\nAnswer: 2*l**2 + 17958","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1307 (base 8) in base 11?\nAnswer: -597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -954, -1912, -2884, -3876, -4894, -5944, -7032?\n\"Answer: -o**3 - o**2 - 948*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 398048 divided by -99512.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 325829558.\nAnswer: 2, 29, 109, 51539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 6*a + 40066. Let x be s(0). What is the second derivative of x*h**3 - 8 - 40066*h**3 - 4*h**2 - 2*h**2 + 6*h**4 - h**2 + 2*h wrt h?\nAnswer: 72*h**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -369\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*g = 14*g - f + 1, 4 = f. Let v be 4 + ((-10)\/30 - g\/9). Find o, given that 0*o + 0*o**2 + 0 - 3\/2*o**5 + 0*o**3 + 3\/2*o**v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000011139048601 rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 72913495 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -601 (base 14) in base 16?\nAnswer: -499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (68\/(-408))\/(1\/16*2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -336531 and -1346125\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2025 is divided by 494?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + j + 33932 = 0, 0*j - 2*j = -4*d + 33928. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 132, 151, 178, 219, 280?\n\"Answer: a**3 - 2*a**2 + 18*a + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + 10100121?\nAnswer: 10100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -941*r**3 - 936*r**3 + 1868*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 155 in -15.8, 1, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-100)\/(-1925))\/((-24)\/(-44))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 10084960 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: Evaluate 0 - 6 - (-21 + 6 + (-2 - 22)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/(j*j**(-2\/9)*j)*j))**(2\/13)\/(j**(2\/7)\/((j\/(j*j**8\/j))\/j*j)) assuming j is positive.\nAnswer: j**(-5869\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -27.8386703 to two dps.\nAnswer: -27.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 2*m**4\/11 + 151112*m**3\/11 + 604424*m**2\/11 + 604416*m\/11 = 0.\nAnswer: -75552, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of -632991.9 and 15.\nAnswer: -632976.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of w**6\/120 - 3*w**5\/20 + 11*w**4\/12 - 7*w**3\/6 + 36*w**2. Let l be r(4). Let q = -2 + 3. Is l <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-25)\/2)\/((-14)\/(-8) + -2) is divided by 117\/(-6)*2\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.166 less than or equal to 316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1067306578 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 362233540 and 3140?\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 9\/4 + (-2)\/8. Let l(v) = 5 + 2*v**3 - v**3 - 13*v**c + v + 5*v**2. Let b be (-4 + 3)*-13 + -2*10\/4. Determine l(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 390, 463, 592, 783, 1042?\nAnswer: 1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 503\/8844 + 1\/268. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1550 divide 420371888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 4*p = 12. Let d = -205 - -148. Let k = -52 - d. Sort -4, p, k.\nAnswer: -4, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -16*m**4 + 5682*m**3 - 234074*m**2 - 709482*m - 469710 = 0. Calculate m.\nAnswer: -15\/8, -1, 51, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 36*r - 2823 - 165. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5988 or 5780?\nAnswer: 5780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 8 = 8*l - 7*l, 19 = 5*l - w. What is the derivative of 3*k**2 + 23*k**2 + 12*k**2 - l*k**2 + 7 wrt k?\nAnswer: 68*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -123325 and -655 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 713 a factor of 11468046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*y + 2*y + 6*y - 2.\nAnswer: 13*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10166 by -34.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 322 = 5*z + 4*y, -2*z + 83 = -5*y - 59. Let v = z + -65. Suppose 10*r = -31 + v. What is the second biggest value in 2, r, -3\/5, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from krkuugbt. What is prob of sequence kk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9475 + 9460. Is 16 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 2*c - 5490 = -4*k, 1830 = -c + 4*k. What is c rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(931) + sqrt(931)*-1)**2*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0  (b) -2\/11  (c) 0.4  (d) 1\/5  (e) 29\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 325 = 85. Suppose -5*t + 0*t = -i. Suppose -3*y + t = -0*f - 3*f, 5*y - 24 = f. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30 - 152\/5. Let t = 9.1 + -1.1. Let w = t - 7. What is the second smallest value in w, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -44 - (-1 - (-3 + 10 + -2 - 1))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -0.079, 3, -10, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004689647 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -282*l**2 + 180*l**2 + 671*l**2 - 285*l**2 - 282*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -15\/91  (b) -130.035  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-16)\/(-4)*(-3 + -2). Let t = n + 26. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lb when two letters picked without replacement from {l: 4, r: 3, f: 7, b: 4}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1134 + 1134 + 18*p)*(1 + 4 - 2)*(11 - 42 - 724*p + 19 + 10) as y*p + q*p**2 + z and give y.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 + -2. Let v = -11 - p. Suppose -4 = 5*w - 29. Solve -36 = -v*y - w*c, 0*c + 4 = c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3143, -3241, -3339, -3437?\nAnswer: -3535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3072624 is divided by 4720?\nAnswer: 4624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5741856.\nAnswer: 2, 3, 19937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 65 - (-11 - -84) - (1 + (-1 - 1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - -2) + (4 - (6 - (18 - 18))) + -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*j = -9*j - 5580. Find the common denominator of 48\/65 and ((-1)\/(-27))\/((-2222)\/j - -6).\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93*m = 4*b + 95*m + 72, -27*m + 20*m - 14 = 0 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add -9.68993622 and 0.28.\nAnswer: -9.40993622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-18)\/(-21) - (-6)\/(-14). Which is the nearest to 2\/7?  (a) l  (b) 0.01  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 - 2*x - 21. Let s be d(9). Let u(w) = 31*w**3 + 2*w**2 - 1. Let k be u(-1). Let q = s + k. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 31*v**2 + 331*v + 2141. Let g(s) = -24*s**2 - 330*s - 2141. Let l(m) = -4*g(m) - 3*q(m). What is the first derivative of l(i) wrt i?\nAnswer: 6*i + 327","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -17308, 7, 8, -2 in ascending order.\nAnswer: -17308, -2, 0, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -181 = -103*v - 78 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2461 - 1246 - 59*a - 1138 with respect to a.\nAnswer: -59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52583, 105165, 157759, 210371, 263007?\nAnswer: 315673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 306 and 3570?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*g - 42*g + 72 = 0. Suppose -w = 10 - g. List the prime factors of -2*(w - -117)*-1 - 1.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -6*v + 2. Let g be o(-7). Let n = g - 31. Calculate the remainder when 38 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -129598, -513402, -1153076, -2048620, -3200034, -4607318, -6270472?\nAnswer: -8189496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from schqchhssqqhscc. Give prob of sequence sqsc.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2112 and 24000?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**3\/11 - 324*h**2\/11 - 1350*h - 135000\/11.\nAnswer: -2*(h + 12)*(h + 75)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(190) - sqrt(190)*-1) + sqrt(190))*-2 - sqrt(190))\/(sqrt(80)\/(sqrt(8)*-2)).\nAnswer: 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6244*j**4 + 379*j**2 + 3?\nAnswer: -149856*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -819000 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/22 + (-48)\/(-22). Suppose -q + 96 = r*q. What is the remainder when q is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -5 + sqrt(117)*-1 + 0.\nAnswer: -3*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 40176415*c**2 + 10788*c - 569.\nAnswer: 80352830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/7 - 92\/(-28). Suppose -h*d - 12 = d. Let l(u) = -u**3 + 4*u**2 + u. Let p be l(4). Put d, p, 0 in decreasing order.\nAnswer: p, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-5))\/(250\/(-500)*6*12\/(-45))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9690735*p**3 + 78502*p + 59.\nAnswer: -58144410*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 1, 6, -0.2, -0.35 in ascending order.\nAnswer: -0.35, -0.2, 0.1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3363484 (base 9) to base 6.\nAnswer: -102511251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12)\/sqrt(3)*-1)\/((sqrt(30)\/sqrt(5))\/sqrt(3)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, 0.2, 0.7, 4\/47, 3044?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/15 of a century in months?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1\/(-4)*0)\/(-3). Suppose 3 + q = -r. Is -4 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 55 - 54.95. Let y(a) = -6*a + 129. Let n be y(22). Put n, -5, m in increasing order.\nAnswer: -5, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 156 = s - 159, -s + 27 = -10*p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 - 8*f**2 + f - 2. Let s = -46 - -56. Let t be ((-65)\/s)\/13 + (-17)\/(-2). Calculate k(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -2*t**3 + 29*t**2 + 20*t + 5. Let q be j(15). Differentiate 6*g**4 - 24*g**4 - q*g + 43 + 80*g with respect to g.\nAnswer: -72*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -m - 3*r, 3*r + 4 + 5 = 0. Suppose 5*i + 2 = -3*c + m, -5*i + 21 = -c. Let n be c\/2 - (0 - 14). What is the greatest common divisor of n and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22590*s - 22579*s + 4*s**3 + 3*s**3 + 45169*s - 10*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 49943403977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 153, 2524 in increasing order.\nAnswer: -1, 153, 2524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.161, -3, -0.2, -2, -0.04, -0.9?\nAnswer: -0.161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.92 rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1099546.\nAnswer: 2, 7, 78539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -414 + 3755\/9. Find the common denominator of -8 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*r = -52*r + 27 + 93 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.8, -0.49, -4212?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9315, -37265, -83863, -149115, -233027, -335605, -456855, -596783?\nAnswer: -755395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47 - 51. Suppose 0 = -x + 3*x - 10. Which is the second biggest value?  (a) x  (b) 8  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*l - 13307 + 13307 - l**3 - 21*l - 21*l.\nAnswer: -l**3 - 24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3881 (base 11) to base 15.\nAnswer: 176a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7383 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 4*g - 3. Let b be z(11). Suppose b = c - 72. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14*k**3*s**3 - 11*k**3*s + 53*k**3 - 1428*k + 9*s**3 wrt k.\nAnswer: -84*k*s**3 - 66*k*s + 318*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 195 = -4*f - 13. Let p be (-5)\/f - (-4)\/26. Solve 3\/4*a**4 + 0 + 3\/4*a**3 + 0*a + p*a**5 + 1\/4*a**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = -3*m + 14, -2*m - 31 + 39 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 2*v**4\/17 - 12*v**3\/17 + 18*v**2\/17 - 8*v\/17 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 9\/(-9) + -4 + 5. Let y(j) = j**2 + 49. Calculate y(u).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) 3\/7  (c) 0.2  (d) 0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/1*12\/((-1512)\/(-7)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -436, -401, -344, -265, -164?\n\"Answer: 11*z**2 + 2*z - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bqwbeses. Give prob of sequence be.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/612 and 19\/11544.\nAnswer: 588744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1012, -9, 32, -4, -1.\nAnswer: -9, -4, -1, 32, 1012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qpp when three letters picked without replacement from pqlhyjp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 3*j - 1)*(4 - 14 - 2)*(1 - 1 + 1)*(-2 - 1 + 1) to the form k + v*j and give v.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 312\/5 - 62. What is the closest to q in 2\/17, -1, 0?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(133) + sqrt(133) + sqrt(133)*2 + sqrt(133))*-3 + -6*(sqrt(133) + (1*sqrt(133) - sqrt(133) - sqrt(133))))\/((sqrt(168)\/(sqrt(8)*-1))\/sqrt(3)).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 30 = 0, -3*t = 4*x - x - 21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*h - 2\/15*h**4 + 0 + 2\/5*h**3 - 4\/15*h**2.\nAnswer: -2*h**2*(h - 2)*(h - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v**2 - 24012*v + 48652*v - 24640*v - 3*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 23376019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 - 259?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 302689040 and 17200?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pyapaqpapapqyaaya. What is prob of sequence pa?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {e: 2, o: 7}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + m + 10 = 0, -8*m + 3*m - 5 = 4*p. Suppose p*r = l, -2*l = -0*l + 4*r. Solve -2*b - 4 = l, 8*a - b - 8 = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.08, 17442, 6\/269 in decreasing order.\nAnswer: 17442, 6\/269, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/237408 and 161\/149280?\nAnswer: 369169440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112044 is divided by 242?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -12*3\/(-21) + (-2)\/(-7). Let i be 15*(0 - ((-8)\/12)\/x). Suppose i*m - o - 607 = 0, 0 = 5*m + 4*o - 905 + 308. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31943*o**3 + 31942*o**3 - 63886*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by 28?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*c + 156*c + 105032860 + 55*c - 105032860.\nAnswer: 257*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7\/14 - (-3)\/2. Suppose 2*m = 2*t + 1 + 1, a*m - 3 = t. What is the second derivative of -4*b**3 + 6*b**3 + 2*b**3 + b + m*b**3 wrt b?\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152539 is divided by 145.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1741 (base 12) in base 15?\nAnswer: -c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -2*h**2 + 45924*h + 32688446 = 0.\nAnswer: -691, 23653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 398375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 - (3 - 9) - (37 - (15 - -13))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -9*h**2 + 2. Let s(d) = -d**2. Let f(v) = -r(v) + 6*s(v). Differentiate f(g) with respect to g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -650*w + 1969. Determine x(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 135382 and 8?\nAnswer: 541528","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55735487 is divided by 1643?\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z - 1. Let a(w) = w - 1. Suppose 4*q = 2*s - 2, s - q + 4 - 5 = 0. Let l(v) = -1. Let x(o) = s*l(o) + a(o). What is -3*f(k) + x(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 5*u = -385, 4*u = -3*f + 8*u + 421. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 4*t**2 - 864*t + 45980 = 0?\nAnswer: 95, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 5*q = -4*q + 453, -4*m + 5*q + 1814 = 0. What are the prime factors of m?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1315 - 868. Let g = i - -4228. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -25, -105, -239, -427, -669, -965?\n\"Answer: -27*n**2 + n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 235 + -235.4. Let y = -4 + 7. Put -0.2, -22, y, d in descending order.\nAnswer: y, -0.2, d, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27.3 + 68.5. Let l = v - 96. What is the nearest to l in -3\/5, -5, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16432612 and 84126?\nAnswer: 49297836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30 and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 5*b**2 + 3*b - 9. Let c(d) = -3*d**2 - 2*d + 5. What is 7*c(u) + 4*i(u)?\nAnswer: -u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-11)*k\/(k\/(k*(k*k**8)\/k)))\/(k**1\/k)**(-8))**22 assuming k is positive.\nAnswer: k**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1282770 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3757921619 to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, -279 in decreasing order.\nAnswer: -3, -4, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 22, -2, 532, -13 in descending order.\nAnswer: 532, 22, 4, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a - 4. Let p(l) = 0*l + 4 + l - l - 3 - l. Determine -2*p(z) - v(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*w - 3*w = 8*w + 1102. What is the third smallest value in -1\/432, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137660 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-56)\/(-9) + 40\/(-180). Find the first derivative of -4*x + j + 6*x + 4*x**2 - 2*x wrt x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {x: 2, r: 4, q: 1, s: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 202*h - 205*h - 12 = 0, 4*n - 2*h = 1048. Calculate the lowest common multiple of 3 and n.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b**3\/13 - 12*b**2\/13 - 398*b\/13 + 408\/13 = 0.\nAnswer: -12, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 3 m when four letters picked without replacement from {x: 2, m: 10}?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 34911135 and 210.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -511 (base 8) to base 10\nAnswer: -329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(4\/5))**(3\/8) assuming h is positive.\nAnswer: h**(27\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, 13463570, 3?\nAnswer: 13463570","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of -7*n**5\/4 - n**3\/3 + n**2\/2 + 5*n - 34. Let g(f) = 52*f**3 + 3*f - 2. Give -5*g(l) - 8*u(l).\nAnswer: 20*l**3 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2 - 19*q - 35. Calculate a(-12).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 2 + (35 + -258 - -175)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 52 = 72. What is the lowest common multiple of s and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-19))**21)**(2\/99) assuming o is positive.\nAnswer: o**(-266\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2406 + 10907. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from irlwiiiirriww. Give prob of sequence ir.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -323 and -2?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -3*v**3 + 6*v**2 + 9*v + 1. Let y be (-7 - 1)\/(-2 - -4). Is d(y) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - a548?\nAnswer: -a546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -5*m. Let a(g) be the first derivative of 4*g**3\/3 + 12. Calculate d(a(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2777461 and -0.1.\nAnswer: 2777460.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 + x**2 - x + 5. Let a be k(0). Suppose 5*m - 10 = a*s, 3*m - 13 = -4*s - 0*s. What is the third derivative of t + 3*t**2 - m*t**3 - t wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 2862663384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (3*sqrt(495)*5)\/(5*sqrt(396)*-2) + -5)**2.\nAnswer: 21*sqrt(5)\/2 + 829\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -10578464 divided by -50858\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8489876743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, v: 3}. Give prob of sequence ff.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, z: 1, p: 1, b: 1, j: 6, o: 1}. Give prob of picking 3 j and 1 p.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v = 3*v + 20. Suppose v*a + 19 = -1. Let c(y) = 5*y + 1. Let h(r) = -r. Calculate a*h(p) - c(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 4*v - 450 = 0, 4*p - 2*p - 918 = -5*v. What is the remainder when p is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of -7*m**5\/20 - m**4\/6 - m**3\/3 + 12*m**2 + 958*m. Let r = -1 - 4. Is u(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2207, 4412, 6617, 8822, 11027, 13232?\nAnswer: 15437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-n + 1 - 1)*(9*n + 17*n - 11*n) to the form v*n + z + s*n**2 and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from quzuuhh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 432194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1571918216 rounded to 4 decimal places?\nAnswer: -0.1572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -634, -1321, -2018, -2725, -3442, -4169, -4906?\n\"Answer: -5*n**2 - 672*n + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (((-3)\/(-16))\/((-18)\/(-24)))\/((-1)\/(-44))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -51319 at most as big as -10.83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(2 - 0)*6. Let m be 8\/20 - (-43)\/5. Solve f - 2*y = z*y - 19, -y - m = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-37)\/37*(-9)\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -0*h + 27. Let w(g) be the third derivative of g**5\/60 + 5*g**4\/24 - 7*g**3\/6 - 37*g**2. Find the common denominator of w(h) and -53\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 - 140*v**2 + 3754*v - 1076. What is t(104)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = -2*f - 6, 4*f + 4 - 2 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 493*z - 60 = 487*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 121608240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve p**2\/3 + 7*p\/3 - 26 = 0 for p.\nAnswer: -13, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -81*w - 5505. Determine v(-68).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ybp when three letters picked without replacement from ypb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*k**3 + 3*k**3 - 3 + 1 - 4*k - 4*k**3 + 4*k + (-1 - 1 + 4)*(0*k**3 - 4*k**3 + 3*k**3).\nAnswer: -5*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 + 10*c**2 + 24*c + 24. Let p be u(-7). What is the remainder when 73 is divided by 22\/(-2)*(p\/3 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*p = 142 - 511 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2991 divided by -1059?\nAnswer: 997\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 - 6*l. Let h(s) = -35*s + 2*s + 2*s**2 - 31 + 13*s - 3*s**2. Let x be h(-18). Calculate u(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 3*m + 2. Let v = -3 + m. Is (-3262)\/v + 1\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*q**3 + 16*q**2 - 16*q**2)*(-3 - 3 + 1) + 0*q**3 - 4*q**3 - 2*q**3 in the form l*q**3 + f + p*q**2 + a*q and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/(-70) - (-48)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/(sqrt(35)\/(sqrt(7)*1)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 116*v**3 + 86*v**3 - 290*v**3.\nAnswer: -88*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 184 + -184.1. Which is the second biggest value?  (a) 14  (b) k  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 2:34 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -20 + 102866?\nAnswer: 102846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -127 + 127.9. Round x to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7839 a factor of 486943192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39753084 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.36078838 rounded to 1 dp?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r + 11. Let u be k(-9). Find the second derivative of -3*o**u - o**2 + 10*o - 6*o + 64*o - 6*o**4 wrt o.\nAnswer: -72*o**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -275\/609 - -2\/87. Let i = 0.05 - -0.05. Are i and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-9)\/(r*r*(r**(2\/3)\/r)\/r*r*r))\/(r*r*r**4)**(-25) assuming r is positive.\nAnswer: r**(415\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**2 + 6*c - 4. Let w be g(5). Suppose -3*l + 23 = 5*d, 7 = -2*d - 2*l + 17. Solve -w + d = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -25?  (a) 1\/2  (b) -0.3  (c) 0.1  (d) -9\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 32624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -x**3 + 5*x**3 - 2*x**3 + 6*x**2 - x**3 in the form i*x**2 + m*x**3 + p*x + a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((0 + -1 + sqrt(98) - (sqrt(98) - (sqrt(98) + sqrt(98) + -1 + 0))) + 5).\nAnswer: 9 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18220?\nAnswer: 2, 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12708 is divided by 6196?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 129 = -15. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the second derivative of -d**5\/20 - 5*d**4\/12 + 2*d**3\/3 + 23*d. Let h be k(-5). Is h at most -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*v + 0)*(-13 + 6 + 3 + (-1 + 3 - 1)*(-1 + 0 + 0) + 3 - 2 - 2 + (4 - 1 - 1)*(-3 + 1 + 3)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*n*r**2 + 8*n*r + 11*n - 2*r**2 + r wrt r.\nAnswer: -6*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4581 (base 13) in base 11?\nAnswer: -7353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69773 is divided by 1836?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1075 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = u + 6. Which is smaller: -6 or u?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f - 3*f = -5, 2*z = f + 13. Which is the second biggest value?  (a) z  (b) -2\/7  (c) 5  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 689*f**2 - 2*f**2 + 107*f**2.\nAnswer: 794*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -j + 21 + 4, 3*j - 2*v - 36 = 0. Calculate the highest common factor of j and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -554 and -56.\nAnswer: 31024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(170)\/(-1*sqrt(10)) + -2.\nAnswer: -sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.5 and -0.4644.\nAnswer: -0.9644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -3 + 5 + 1 - 6*v**2. Let o(g) = -7*g**2 - g + 4. Suppose 5*x = -2*j - 14, -3*x + 2 = 2*j - 2*x. Let q(k) = j*o(k) - 4*p(k). Factor q(s).\nAnswer: 3*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19 + -41\/2. Let z(t) = -t**3 - 8*t**2 - 6*t + 4. Let b be z(-7). Which is bigger: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, 6, -4\/9 in decreasing order.\nAnswer: 6, 5, -4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19705348 to the nearest integer?\nAnswer: 4439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 76.96 - 81. Let z = 0.04 + x. Let i = 1.97 + 0.03. Which is the third biggest value?  (a) z  (b) i  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, -36, -67, -112?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 4*z - 755 = -711, 4*v - 4*z = -3*z - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -456, -442, -418, -384, -340, -286, -222?\n\"Answer: 5*g**2 - g - 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -274516 divided by -22.\nAnswer: 12478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/6 - 888\/(-18). Let x = z + -29. Solve 5*y**3 + 16*y**4 - 52*y**4 + x*y**4 + 20*y**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -3*x**2 - 18*x - 31. Let c be g(-12). Is c bigger than -248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 406 = d + 4*d, 0 = 5*q - 5*d - 690. Let f = q + -42. Is f a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/30)\/(((-3240)\/(-75))\/18)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -173\/120 and 22 + -22 + ((-272)\/(-21))\/(-4)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31242977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -3*g + 0 + 6 + 0*g. Let j(i) = -i**3 + 10*i**2 - 12*i + 3. Let o be j(8). Suppose -4 = 34*f - o*f. Calculate x(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -517*o**2 - 8*o + 4. Let p(x) = 1549*x**2 + 28*x - 14. Let h(t) = -7*i(t) - 2*p(t). Let y(a) = -5*a**2. Give y(h(l)).\nAnswer: -1357205*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -13  (b) 0.4  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6256 - -7488. What is the highest common factor of 352 and u?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*t + 101 = 3*m + 60*t, -2*m - 3*t + 10 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 157\/624 and 113\/14.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -9*m + 67. Give z(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + 25830?\nAnswer: 25835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(4 + (sqrt(325) + sqrt(325) + -2 + 1*sqrt(325) - (sqrt(325) - -2*sqrt(325)*1))*6 + 3))**2*5.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = -f - 25 + 39, 0 = 3*f + 21*y - 24 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 146\/210 - ((-66)\/10)\/(-11)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 125 = -4*p, -2*z - 47 = 4*p - 309. Let x = z + -62. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -722, -122, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*k**6 - 14*k**5 - 250*k**2?\nAnswer: -480*k**3 - 840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*v**2 + 0*v**2 + 3*v**2 + 19*v - 13*v + 25 to the form y + a*v**2 + i*v and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, -0.3, 0.1, -48?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9952\/7 - 1424. Let y = k + 89\/42. Let p = 123 + -985\/8. What is the closest to p in y, 1\/3, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4*(-15)\/(-10) - 2 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -17*y**2 - 12*y - 6. Let j(h) = -20*h**2 - 10*h - 5. Let l(t) = -6*j(t) + 5*m(t). Let i(u) = 16*u. Determine l(i(k)).\nAnswer: 8960*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1*2)\/((-30)\/285). Suppose 2*i + 4*l - 18 = 0, -g = -5*i - l + 4*l. Suppose -i*r + 9*r = 52. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1720 is divided by 157.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 + -18. Let o be ((-2)\/(-2))\/(-4 + r). Let q = -8958 + 8957.8. Which is the third biggest value?  (a) o  (b) q  (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32926*f + 6770*f - 7093*f - 3.\nAnswer: -33249*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40 and 490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1862?  (a) 0.5  (b) 2\/19  (c) 1\/6  (d) -5\/2  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -173*u**4 + 81 wrt u?\nAnswer: -692*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 10*l**4 + 6150285*l**3 - 6150305*l**2 - 6150285*l + 6150295 = 0.\nAnswer: -1230059\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -7*o + o - o + 10*o**2 - 8 + o**3 + 6*o. Let w be p(-10). Solve -w*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -199571, -398924, -598277, -797630, -996983, -1196336?\n\"Answer: -199353*f - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/4*(-150)\/(50\/(-2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -108, -104, -100, -96?\n\"Answer: 4*m - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1779011951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44, 101, 146, 173, 176?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7574 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12171*d**6 + d**4 - d**3 + 47129*d**2 wrt d?\nAnswer: -1460520*d**3 + 24*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3513892 and 2154?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (4 + ((sqrt(153) + 0 + sqrt(153))*1 + -5 + sqrt(153) + -1)*-5)**2 + 3.\nAnswer: -3060*sqrt(17) + 35579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46 + 57 + 2*o - 165 + 64.\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**3 - 3*b**2 + 1. Let l = 690 - 693. What is j(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17464, -69380, -155764, -276622, -431960, -621784?\nAnswer: -846100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of -3*i**4\/4 + 4*i**3 - 15*i**2\/2 + 6*i + 15. Solve j(m) = 0 for m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -151497531*p**2*w + 6*p*w + 2*w + 435769 wrt p?\nAnswer: -302995062*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -179*b - 3*b**2 + 179*b - b**2 - 5*b**2 - b**2 + 3*b**2 + (b - 3 + 3)*(2*b - b + 0*b).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/2 - (8 + -3). Let h = k + 8. Suppose -3*r - h*w = -14, -5*r + 12 = 3*w - 11. Solve -l - l = -r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d + 1. Let m(c) = -4*c + 1. Let n = -1 - -4. Suppose 0*h = n*h + 3*z - 21, -h + 5*z = 23. Calculate h*j(f) - m(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 24*h**2 - 2*h. Let l = 6 + -8. Let t(i) = -23*i**2 + i. Let o(a) = l*c(a) - 3*t(a). Is o(1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -d0 (base 14) in base 7?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-2)*(-4 - 1) + 189\/(-14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*v**2 - 5*v + 129 - 65 + 6*v + 10*v**3 - 67 - v**2 as z*v**3 + l*v + a*v**2 + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -155, -169, -193, -227, -271, -325?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, 0.2, -6, -0.3, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of w**3 + 87*w**2 - 16*w + 14567 wrt w.\nAnswer: 3*w**2 + 174*w - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -7*q - 5. Suppose 0 = 2*o - 10, -6*f - 85 = -3*f + 4*o. Let r be (f\/(-21))\/((-3)\/9). Calculate p(r).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the first derivative of -p**4\/18 + p**2\/9 - 3. Factor i(z).\nAnswer: -2*z*(z - 1)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 6 - 2)*(3*x - 3*x + 2*x**4).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.5 + 3. What is the biggest value in t, -1\/2, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 3*h. Let z(o) be the first derivative of -100*o**3\/3 + 2603. Calculate u(z(p)).\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + l = -8 + 25, -4*i = l + 7. Sort i, -12, -1 in decreasing order.\nAnswer: -1, i, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 159*w - 75*w - 286 = 58*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1899986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 353 - 226. Suppose 123*b + 844 = x*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.49 - -0.476. Let p = -1.714 - d. What is the smallest value in p, 0.1, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 3*n - 27, -17*v - 3*n - 11 = -16*v. Solve 2*b = -3*b - v*q + 1, -b = 5*q - 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -25*u**4 + 11*u**2 - 462*u + 8. Let t(h) = 75*h**4 - 32*h**2 + 1385*h - 22. Let g(n) = -11*q(n) - 4*t(n). Find the second derivative of g(y) wrt y.\nAnswer: -300*y**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (-2 - (-5 - (-1 - -5)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0.4, -3, -1, -18, 3, 0.01 in decreasing order.\nAnswer: 3, 0.4, 0.01, -1, -2, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -6397 times 0.5\nAnswer: -3198.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x**3 + 3246*x**2 + 6483*x + 3240 = 0 for x.\nAnswer: -1080, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -68 + 140. Suppose -m + 6 = -p - 25, 3*p - a = -2*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c. Let k(q) = -2738*q + 51. Let p(n) = 1373*n - 20. Let g(x) = 2*k(x) + 5*p(x). Give g(f(v)).\nAnswer: -1389*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*o - 534*o + 7378 = 800 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16708 is divided by 1862?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10*l**3*v**5 + 9*l**3 + 2*l**2 - 6*l*v**2 - 45*v**6 + 40*v wrt v?\nAnswer: -600*l**3*v**2 - 5400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12\/61 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, u: 9, k: 1, v: 1}. Give prob of picking 1 u and 1 p.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 44*k + 17*k - 358 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/41 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 + 6*d - 3. Let f be a(-7). Let v be -1 + f + (-4 - -3). Let y(x) = x**v - 4 + 12 - 5 + x. Let g(t) = 1. Give 4*g(i) - y(i).\nAnswer: -i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g - 15 = 57. Let s(l) = l**3 - 4*l**2 - 4*l - 7. Let h be s(5). What is the least common multiple of 9 and g\/h*(-4)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.6 - -0.8. Let j = x - 0. Let g = 61\/40 - 9\/8. Sort g, 3, j in increasing order.\nAnswer: j, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 10 = 3*c. Suppose -2*y = 1 - 5. Let k = y + c. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 - 5*a**2 - 3*a + 1. Let b be l(-4). Let m be 2\/(-2) - 6\/b. Let u be -1*6\/75*-10. Which is smaller: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -1. Let p be f*(-2 - -3)\/2. Suppose p = -3*q + 3 + 24. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -421240 (base 5) in base 6?\nAnswer: -144321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 2 + 10. Suppose o - 4*d = 10, -3*o + 2 = -d + 16. Let f be ((-2)\/(-8))\/((-2)\/o). Which is the second biggest value?  (a) n  (b) 3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 4 + 4 + (1 - -138)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, e: 3}. What is prob of sequence xe?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/(2 - -1) + 2. Suppose 0 = 10*t - 6*t + 16. Put t, i, -2 in ascending order.\nAnswer: t, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 566 divide 6014882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a century in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5)\/(-20) - 13\/4. Let o = 0 - j. Determine z so that -10*z**2 + 7*z**3 + 11*z**o - 4 + 14*z**4 - 3*z - 15*z = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -2*d**2 + 22*d - 18. Let v be q(10). Suppose -8*j - 53900000 = v*j. Round j to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/36 and 25\/33.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of 2*g**4 + g**3\/3 - 2*g**2 + 3*g - 20. Let w be 5 + (-20)\/4 - (2 + -3). List the prime factors of m(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32\/3*(-164)\/((-11480)\/105).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9755219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4145083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 136 a factor of 1896928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 6*t**2 + 13*t + 4. Let m be i(-2). What is the second derivative of 28*l + 5111 - 5111 + 96*l**m wrt l?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -w - w + 9, 11 = -4*o + 3*w. Let t be o + -2 + 3 + -1 + 3. Let h be t\/(2*(-8)\/(-20)). What is the greatest common divisor of h and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-1*sqrt(75)\/sqrt(5))\/sqrt(3) + 4) - (5*sqrt(2940))\/(sqrt(72)\/(sqrt(6) - sqrt(54))).\nAnswer: -4 + 71*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(-4) + (-3)\/(-12) - -1. Suppose 0 = -3*n - o*q - 25 + 201, -2*n - 2*q = -116. Let p = -18 + n. What is the highest common factor of 126 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 82203 and 15158?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 17629  (c) 8.66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 - 37*c**2 + 119*c + 35. What is the lowest common multiple of 55 and r(-40)?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 13) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1172525075 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -711 - 491. Let c = w + 582. Let y be (-2 + 2 - c) + 0. Round y to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 11:15 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2 + 15*q + 17. Let z be u(-14). Suppose 4*g = -5*w + 21 + 6, 5*g = 5*w. Let r = g - z. Solve r*s + 20 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -6, -0.6, 0, 333, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-1))\/((-128)\/288)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -4*u. Let d(l) = l**3 + 5*l**2 + l + 5. Let r be d(-5). Suppose 2 + r = -b - h, h = -5. Let y = b - 2. Calculate n(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5095 and 39652347.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**2 - 15*h - 18. Give f(12).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 245 a factor of 240576280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2024000 a multiple of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 + 7*n**2 - 4*n + 6. Let x be i(6). Let o = x - -9. Calculate the remainder when o is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 + o**2 + o - 58. Calculate h(0).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the third derivative of t**6\/120 + 7*t**5\/30 + t**4\/12 - t**3\/6 + t**2 + 6*t. Is o(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - -1. Let t = 0 - u. Let q = -4.6 - t. Put q, 1\/2, -2 in decreasing order.\nAnswer: 1\/2, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the first derivative of 25 + 1\/2*a**4 - 2*a - 5\/3*a**3 + 5\/2*a**2. Let v be x(2). Solve -2*k + v = -6*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, 0, -7\/19 in decreasing order.\nAnswer: 5, 4, 0, -7\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 - 23. Let l = b + 37. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1307674 to the power of 1\/2, to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - 4 - -8) + 31846. Let k be (-8)\/52 + 4432\/h. Let q = -126391\/14700 - k. Find the common denominator of 54\/5 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 + 0*w - 7\/3*w**3 - 80\/9*w**2 - 1\/9*w**4 = 0. Calculate w.\nAnswer: -16, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 5*t + 1. Let j(s) = -60*s - 32. Let n(w) = 19*w + 10. Let b(l) = 5*j(l) + 16*n(l). Determine 3*b(k) - 2*q(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42002312 (base 5) to base 12.\nAnswer: 147156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of n**2*v**2 + 5*n**2 + 6*n*v**3 + 1095*v**3 wrt n?\nAnswer: 2*n*v**2 + 10*n + 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the third derivative of -3*b**4\/2 - 139*b**3 - 10*b**2 - 128*b - 2. Calculate t(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3.67 + 1.67. Which is the second biggest value?  (a) 4  (b) -0.4  (c) v  (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 - (-12)\/3) + 34. Suppose -3*g - 81 = -0*a + 3*a, -3*g - 33 = a. Let k = a + m. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 55 = 55. Suppose 14*f + 15 - 71 = u. What is k in 17*k**3 - f*k + 0 + 10*k**2 - 21\/2*k**4 = 0?\nAnswer: -2\/3, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*m + 2164 + 1430 - 659 = -1145 for m.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 527*n = 534*n - 35. Solve -1 = c - n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + s - 7 = -2*l, 0 = -5*l + 2*s + 28. What is the least common multiple of l and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -65*i**3*l + 8*i**3 + 58*i*l + 5*i + l wrt i.\nAnswer: -390*i*l + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 410*b**2 + 1097*b**2 + 564*b**2 - b + b as r*b + o*b**2 + d and give o.\nAnswer: 2071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*p**2 - 104*p**3 + 6*p**2 - 2*p**2 + 808*p**3.\nAnswer: 704*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (45\/30)\/((-1)\/16*-6). Solve 0 = -o*h + 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 1\/551 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 5  (b) -1\/10  (c) -0.1379\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from aapyypaayyyyya.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bokuosbjk. What is prob of sequence bsk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.19 or 1\/20132?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.133 and -4.4613387807.\nAnswer: -4.5943387807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/6 and -33\/67592.\nAnswer: 202776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(200)*-2)**2 + -5 + sqrt(200) + 1 + (5*(3 + (sqrt(200) + 2*sqrt(200) - sqrt(200))))**2.\nAnswer: 3010*sqrt(2) + 27421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.4 + 1. Let k = -2.41 + 2.51. What is the closest to k in j, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n - 2*n**2 + 4*n)*(n - 5*n + 0*n) - 94*n**3 - 121*n**3 + 38*n + 186*n**3.\nAnswer: -21*n**3 + 38*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*j - 3)*(-j**2 - j + j) + j**3 - j**3 + j**3 + 1690 - 79*j**3 - 1690.\nAnswer: -76*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.3 and -73.\nAnswer: -73.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1277?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the third derivative of w**9\/756 + w**8\/105 + w**7\/42 + w**6\/45 - w**3\/3 + 10*w**2. Let j(t) be the first derivative of v(t). Factor j(f).\nAnswer: 4*f**2*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuquqsxu. What is prob of sequence xsuu?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.4 and 1279001163057?\nAnswer: 1279001163056.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -2*y - 20, 3*b - 21 = -y - 41. What is the closest to 2 in y, -5\/3, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6.704 - 1.493. Let a = o + -0.111. Let d = a + -4.484. What is d rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 252 and 606618.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 5, -1\/8, 0.72, 65, 3, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -75 - -130. Suppose -4*t + 331 = x. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37596 - 35986 = 46*i for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.02 times -427\nAnswer: -8.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3.71 + -2.71. Which is the nearest to -1?  (a) k  (b) 3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*u - 2*u - 1600. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 136\/((-18 - -6) + 14). Let z = 6 - -11. Calculate the greatest common divisor of t and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v - 24. Let m be b(-14). What is the closest to 0 in 0, -4\/3, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 20 = -g. Let z = g + 17. Calculate the remainder when 4\/3*315\/10 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = 3*f - 12, 28*f - 31*f = 3*m - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 2*z + 224. Let p = -5 - z. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (61\/(-4270))\/(2\/(-14))*5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 814, 1\/7, 516369 in ascending order.\nAnswer: 1\/7, 814, 516369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001495556517 rounded to 7 decimal places?\nAnswer: -0.0001496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = d + 3*n + 1, 0 = -3*d + 4*n + 31 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 7:06 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*z + 10737 + 6732. List the prime factors of z.\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -24 - 186. Let x be (a\/(3\/1))\/(-3). Let p = x - 89\/21. Is p greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 259 or 247?\nAnswer: 247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 3\/5, -1\/5, -105, 0.1, -649?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*l = 34*l - 20. Suppose -3*x + 25 = -4*s, -2*s - s - 4*x = 0. Which is the closest to 1\/3?  (a) l  (b) -2\/11  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/3, -0.03, -14?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*t + 521 + 12 = 58 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25)\/(-75)*9\/12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -1246*h + 631*h + 4*h**2 - 5*h**2 + 623*h - 15. What is c(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -552*u + 47819 wrt u.\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:26 AM and 2:37 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = -u + 48. Is 16\/u - 3026\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-1)\/(-2) + 2091\/(-41) + 6084\/120.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = 4*h + 3*w - 30, -11 = 3*h - 2*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*q - 205*q - f + 3 = -98*q, -3*f + 9 = 0. Factor q + 3\/4*r - 3\/4*r**2.\nAnswer: -3*r*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 5*a - 18 + 2 = 0, 0 = -2*m + 2*a + 16. Suppose 5*i = -0*i + 40. Is 2\/i - (-374)\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1870*c - 2078*c + 5068*c in the form p + m*c and give m.\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -3*n + 52, -4*n + 0*d + 5*d + 67 = 0. What is the lowest common multiple of 165 and n?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/36 and 145\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -41 + 31. Let a = 4 - n. Suppose a*c - 9*c - 1535 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((6*1*sqrt(1900)*-6 - (2 + -1*sqrt(1900) + (4 + sqrt(1900)*2 + sqrt(1900) - sqrt(1900)))) + -4).\nAnswer: 50 + 1850*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**3\/t)\/t**(-1\/9))\/((t\/(t**(-4\/3)*t))\/t**22) assuming t is positive.\nAnswer: t**(214\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of i**4\/12 - i**3 - 9*i**2\/2 + 15*i. Suppose -3*o + 24 = -0*o. What is the remainder when g(o) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -38801*k**4*t + 2*k**4 - k**3*t + k**3 + 2*k**2*t - 721*k**2 + 2*k*t - 15*t - 4 wrt k.\nAnswer: -931224*k*t + 48*k - 6*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 78, -0.2, -1, 2\/19, -12981, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 2 = -2*r. What is the least common multiple of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.06374 + -5.06374. Put -3, -2, c, -2\/9, 3 in increasing order.\nAnswer: c, -3, -2, -2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 + 10*k**2 + k - 11. Let m be h(10). Put -2, -0.4, m in increasing order.\nAnswer: -2, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 3)*(-255 - 103 - 216)*(f + 2*f - 2*f + (1 + 2 - 5)*(2 - 2 - 2*f)) - 8*f + 2*f + 0*f.\nAnswer: -2876*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -258. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4468275200 to the nearest 1000000.\nAnswer: -4468000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2825209 is divided by 28252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, c: 3, b: 4, v: 6, i: 3}. What is prob of picking 1 c and 1 b?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 150\/(-5)*9*(-4)\/6?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hlscsh. Give prob of sequence lhs.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 + p**2 - 297*p + 1744. What is i(6)?\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.3 + -5.357. Let m = 29.057 + k. Let n(t) = -3*t**3 + t**2 + 5*t + 3. Let w be n(-1). Put w, 0.1, m in decreasing order.\nAnswer: m, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 68 + -12. Let b = 80 - n. Suppose s**5 - 78*s**3 - 10*s**5 - 39*s**4 - 57*s**2 - 4 - b*s + 11*s**3 = 0. Calculate s.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*w = 3*o + 10*w - 24, -3*w - 9 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 - (-3 + (-17 - -11)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1556*m - 1544*m = -108 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 6:38 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58.10838 tonnes to kilograms.\nAnswer: 58108.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10117 - 10115. Put w, 0, 4, -9 in decreasing order.\nAnswer: 4, w, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(19) - (sqrt(19) + -1 + 5))**2 + sqrt(76)\/sqrt(4) + -5 + -2 + 0 + sqrt(931) + 3).\nAnswer: -16*sqrt(19) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 + 3*a - 11. Let n = 5 - 0. Suppose -2*t + 40 = 2*j, 5*t - 50 = n*j - 0. Calculate the remainder when v(6) is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -22*r + 7. Let x(j) = 23*j - 9. Determine -5*u(n) - 4*x(n).\nAnswer: 18*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 127597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-172*j - 162*j - 588 + 332*j)*(0 + 2*j + 0) to o*j + w + h*j**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in 2, -2\/3, -1477655?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of j**6\/360 - j**4\/6 + 5*j**3\/6 - 2*j. Let m(h) be the second derivative of s(h). Suppose -12*t = 7*t + 76. Determine m(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -3*y**2. Let g(t) = -650*t + 1. Determine n(g(f)).\nAnswer: -1267500*f**2 + 3900*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 - 5. Solve -5*t - 2*o - 2 + 14 = 0, i = -t + 4*o - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pdpu when four letters picked without replacement from {p: 4, u: 3, d: 1}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 u, and 1 m when three letters picked without replacement from mxmxmmumzzzzsszm?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 333 = -1181. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -102*z**3 + 166*z**2 - 166*z**2.\nAnswer: -102*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -4986\nAnswer: 4986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(152)*4 + sqrt(152) - sqrt(152))*-4)\/(sqrt(8) - sqrt(32)*-1 - (sqrt(800) + (sqrt(800) - (sqrt(800) + sqrt(800)*-1)))).\nAnswer: -48*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(4032) - (sqrt(4032) + 1*sqrt(4032))*3))\/(-6*(sqrt(9) - 3*sqrt(27)\/sqrt(3) - sqrt(90)\/sqrt(40))).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -18244, -18654, -19064, -19474?\n\"Answer: -410*r - 17834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 407069265?\nAnswer: 3, 5, 2999, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2.4 in -0.719, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 91.517766 to the nearest integer.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24018\/11 - -360292\/165. Factor v*s**2 - 2\/15*s**3 + 2\/3*s + 2\/5.\nAnswer: -2*(s - 3)*(s + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 AM and 2:37 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -110022120 + 102120?\nAnswer: -103320000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + -a3?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2799 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: Does 84 divide 57624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 87952 + 11c?\nAnswer: 87a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 362566259755386 - 362566342603665.0000035. Let g = 82848297 + q. Let s = -18 + g. What is s rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*t**3 + 39 + t**2 - 75*t**3 + 63*t**3 as p*t + l*t**2 + h + w*t**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-25)\/20 - 1\/(-4). Let l be j\/((-15)\/54) + (-4)\/(-10). Let 11*h**2 + l*h + 12*h**3 + 1\/2 + 9\/2*h**4 = 0. What is h?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1011101101 (base 2) to base 5\nAnswer: -10444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/(-49) - 50\/(-28).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11208 + 1602683\/143. Let h = -3\/11 - i. What is the smallest value in h, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + -461437?\nAnswer: -461434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.739 + -11627509943.\nAnswer: -11627509941.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 5. Solve j*q - 12 = -4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/392*((-220)\/16 - -12).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 126 = 7*b + 42. Solve -9 - 39 = b*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 60 + -24. Let t = -77 + g. Let r = -35 - t. Calculate the remainder when 21 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/3  (b) 5  (c) -0.2  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/12 and (-1)\/(-15)*1605\/(-10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f**4 + 13467*f**3 + 563665*f**2 wrt f.\nAnswer: 24*f + 80802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -bac (base 14) to base 12\nAnswer: -1404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5957594735 to the power of 1\/2, to the nearest integer?\nAnswer: 77185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 4 + 9*f**2 + 4 + 4*f**3 - 4*f**3 + f**3 + 12*f. Let d(w) = -w**3 - 8*w**2 - 12*w - 8. Let z(h) = 3*d(h) + 2*y(h). Factor z(r).\nAnswer: -(r + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b**2 + 5*b - 1267. Let v be k(24). Solve -4*x - 3*g = 1, g - 5*g = -v*x - 40 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 230*f + 20 = 234*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 970000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -702, -651, -602, -555, -510, -467, -426?\n\"Answer: -f**2 + 54*f - 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2 + 8*h - 4. Let r be w(3). Suppose 2*b - 3 = r. Calculate the remainder when 54 is divided by (-2)\/b + (-200)\/(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 - (-22 + 18 - -15)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 485886545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15 - -18. Let a(p) = -3 - p + f + 1 - 2. What is a(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 199*i + 231. What is q(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 556 + 4008. List the prime factors of v.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11633582 is divided by 2908394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19875\/14 + -1422. What is the common denominator of 69\/14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 0 - (-2 + -15 + 4 + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -4*h - 52. Let w be -2 - (-5)\/((-140)\/h). What is the closest to -2\/9 in w, -3\/2, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, z: 2, u: 2, p: 2, g: 1}. What is prob of picking 1 u and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -6*u - 7. Let y be z(-2). Suppose y*d - 2*d = 6. Suppose j - 3*s + 1 - 7 = 0, -2*j + d*s + 20 = 0. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 315, 244, 213, 222, 271, 360?\n\"Answer: 20*j**2 - 131*j + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1149 + -1144. Solve w*h + 5*y + 3 = 9*h, 2*h = -y - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 + 15*f**2 - 3*f - 21. Let t be y(-15). Let g = t + -29. Let p be (g\/15)\/((-3)\/56). Is p at least as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*j - 3*j - 4*j + (-j - j + j)*(1 + 0 - 2) + 4*j + 2*j - 5*j - 1 - 1 - j + 6.\nAnswer: -2*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 3, -1, 1, 2\/3, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 - 10*l**2 + 3*l - 1. Determine m(-10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -14*i - 11. Let k(g) = 5*g + 4. Let f(t) = -t**2 + 5*t - 10. Let a be f(3). Let l(x) = a*o(x) - 11*k(x). Let b be (-2)\/(-3)*6*-1. Determine l(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-70)\/(-28)*28\/10. Solve 0 = 5*t - 4*s + s + d, -4*t - 4*s = 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((42\/(-49))\/(12\/224*10))\/((-102)\/(-17))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 p, and 2 w when four letters picked without replacement from prppppppwwpppprprppp.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -10131979.\nAnswer: -30395937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of -793*a**6\/120 - 3461*a**4\/24 - 92*a**2 + 7*a. Find the second derivative of p(i) wrt i.\nAnswer: -4758*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 7*t**3 - 9*t**2 + 13*t + 11. Let h(v) = 3*v**3 - 4*v**2 + 6*v + 5. Suppose -2 = z + n + 4, 4*n = -3*z - 18. Let c = -15 - z. What is c*h(g) + 4*p(g)?\nAnswer: g**3 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1450091933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 36740219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1281, -3\/2, 11531, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 20 = 4*q + n, 4*q - 4*n = 16. Is (-68 - -1)\/((-4)\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*(x\/x**19*x)\/x)\/((x\/(x*x**(-7\/6)))\/x) assuming x is positive.\nAnswer: x**(-103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 18093 + 2?\nAnswer: 18095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 3*p + 18 = 0, 4*a + p = 5 + 6. Solve -a*w + 11 = 4*m, 0 = -4*w - 2*m + 4*m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/24*4)\/(-2*60\/(-16))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5059376 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7381 + 7383. What is the least common multiple of j and (-1)\/(1*2\/(-68))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**2\/9 - 2697262*y\/3 = 0.\nAnswer: 0, 4045893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of (35\/(-3))\/(2\/(-126)*3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -166*q - 1. Let y(g) = 249*g + 2. What is 8*c(p) + 5*y(p)?\nAnswer: -83*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 560261*c**3*g**2*o - 26*c**3*o - 271*c**2*g**2*o + c**2*g**2 + 485*c**2*g - c**2*o - 2*c*o wrt c?\nAnswer: 3361566*g**2*o - 156*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 21781  (b) 13  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 891 is divided by 453.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 - 19*p**2 + 21*p - 42. What is r(18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44688, 44850, 45012, 45174, 45336?\nAnswer: 45498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -2 + (-2 - -9 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j**3 - 2*j + 10. Suppose 4*b = -15*b - 4*b. Let x be a(b). Let k(s) = -s**3 - 6*s**2 - 5*s. Let l be k(-5). Solve l*y = -5*y - x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20 - 2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.1065235 and -920.668.\nAnswer: -920.5614765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.06 and 1.4149.\nAnswer: 1.499794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/(-8))\/((-2)\/40*-2). Solve -3*p = 3*a - 30, -2*p + 20 = v*a - 3*p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19.8 + 1.5. Let w = -17.3 - o. What is the third biggest value in 5, -2, w, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2502415 to the power of 1\/2, to the nearest integer?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -189569980*d**2 - 105072349?\nAnswer: -379139960*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 28*b**3 - 13*b**2 + 7*b + 4. Let t(o) = o**3 - 2*o**2 + o. Let w(k) = l(k) - 5*t(k). Find the second derivative of w(g) wrt g.\nAnswer: 138*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1002291 + 2556*t**2 - 1002291.\nAnswer: 2556*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/190 and 107\/114.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 339056.\nAnswer: 2, 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36102775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -29, 678, -7, -5 in descending order.\nAnswer: 678, 4, -5, -7, -29","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is (-2*(-5)\/(-20))\/((-39)\/780)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14402 - 14400. What is the second smallest value in 3\/2, u, -1\/19, -5?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**3 + 70*v**2 + 42*v**2 + 43*v**2 - 155*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1c6 (base 14) to base 3\nAnswer: -111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, q: 11, p: 2}. What is prob of sequence qp?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 - 3. Let y(j) = -2*j + 1. Suppose 0 = -4*d + 6 + 10. Let m(k) = d*k + 0 - 4*k - 2*k + 1. What is a*y(b) - 7*m(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 19) + (-20)\/((-140)\/49) + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -6*(4 + (4*sqrt(405))**2 + sqrt(405)).\nAnswer: -38906 - 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = z - 39, -2*z - 1 + 9 = 0. Let a(s) = 2*s - 1. Let l be a(k). Suppose 3*p = 38 + l. What is the highest common factor of p and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*x - 44*x = 4*b - 428, 0 = -4*x + 3*b + 361. What is the remainder when 12844 is divided by x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 + 5*q - 9. Let k be r(-7). Suppose 0 = 2*i - 2*z - 2, -4*z + 0*z = k*i - 23. Suppose 16 = i*u + u. Solve 0 = -2*l - 0*l + u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of 17*a**4\/6 + 6*a**2. Let c(d) = -d**2. What is v(c(o))?\nAnswer: -68*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 147 divide 4960969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 191516321 and 6.\nAnswer: 1149097926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*x - 51*x + 2 = 53*x + 3, 0 = 2*d + x - 15 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -14290*a*r + 638*a - 60942478*r wrt a.\nAnswer: -14290*r + 638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4487.70834 + -4487. Round i to three decimal places.\nAnswer: 0.708","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -1707*f**3 + 12*f**2 - 9. Let o(d) = 4268*d**3 - 28*d**2 + 22. Let b(r) = -5*o(r) - 12*z(r). Find the third derivative of b(v) wrt v.\nAnswer: -5136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 5*u + 94. Let j be p(-20). Which is the second biggest value?  (a) -2  (b) 2  (c) j  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(2\/5)*v*v)**(-5\/3)*v*v*v**(-1)\/v*v*v\/(v*v**5)*v assuming v is positive.\nAnswer: v**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = 2*i + 22, 3*i - 5*o + 3295 - 3262 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -32233323\/55 - -586090. Let i = 147\/5 - u. Let v be (-12)\/8 - (-2)\/4. Which is bigger: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 160926395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 558322591.\nAnswer: 67, 97, 85909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118*m + 68*m = -9000. What is the highest common divisor of m and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 529*i**2 - 18*i - 31. Is n(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**2 - 1110*q.\nAnswer: 5*q*(q - 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*r - 40*r = 0. Let w be (r + -3)*(-7)\/3. Let h(m) = -m**2 + 5*m + 10. Give h(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110011 (base 2) in base 12?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 63 + -59. What is the remainder when 12\/6*(-366)\/(-12) is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -759 by -777.\nAnswer: 253\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 16*y - 20. Suppose -4*l - 5*x + 159 = 0, 3*l + x = 94 + 39. Suppose 52 = 2*c + 2*i + 8, 3*i - l = -2*c. Let h(t) = -t + 1. Determine c*h(g) + b(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -25127 from -25362947.\nAnswer: -25337820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-207)\/115 - -3 - (-64)\/5. Solve -2*b + 2*d = k - 16, 3*b + 5*d - 11 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -257269 - -257214.7277. Let z = 1334.3 + -1280. Let c = l + z. Round c to 3 dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 4 = -5*c, 3*p + 2*c = 16. Suppose 23*t = p*t + 7885. What is t rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 24*y**2 - 2*y + 10. Let p be k(3). Suppose -6*l = -p - 164. Suppose 14*w = 18*w - l. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -108, -324, -542, -762?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 3*y - 235 = -3*g, -y = -2*g - 128. Let l = y - 107. Calculate the least common multiple of l and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 20*r + 160. Let o(j) = -3*j - 23. Let l(w) = 2*h(w) + 15*o(w). Let v be l(-14). What is the greatest common factor of 1035 and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2477554 (base 8) in base 14?\nAnswer: 13ca16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (-2 - 0) - 6) + 479 + -459.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 - 4*a**2 + 6*a - 2. Give g(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4340 (base 16) to base 15.\nAnswer: -517b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 33*m = 36*m - 49, -5*m = -4*o + 43. Calculate the remainder when 98 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6, 122, -2\/19, -0.4, -5, -0.002, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of 27\/20*m**5 + m**3 + 0*m**2 - 211 + 0*m + 9\/4*m**4. Solve j(k) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4668 - -4663. Sort 16, 2, k, -20.\nAnswer: -20, k, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -339178237, -339178235, -339178233, -339178231, -339178229, -339178227?\n\"Answer: 2*s - 339178239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/45280 and 49\/133010?\nAnswer: 2128160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 134205, 268367, 402519, 536655, 670769, 804855, 938907?\nAnswer: 1072919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 370, 373, 378, 385?\n\"Answer: m**2 + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19 - -23. Suppose k + q*g = -12, 2*g - 4 = -2*k - 22. Is k smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71351640 a multiple of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 13725*d. Let g(j) = 357*j. Determine g(x(t)).\nAnswer: 4899825*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 914 + -907. Solve -9*b + k = -2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4384 = 2*s + l + 2*l, -3*s - 6575 = 5*l. Is s*(-3)\/20 + 2\/(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-15)*17\/408)\/(13\/(-117))\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -4*z + 48, -4*v = -z + 65 - 89. What is the remainder when 446 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.8 + 1.1. Let n = o + 1.7. Let d = -0.1 + 5.1. What is the closest to n in d, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 172 - 121. Suppose -5*a = -5*k + 375, 94 + t = 2*k - a. Suppose 4*d - k = 2*y + 152, 2*y = -4*d + 202. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-26)\/(-6) - (-2)\/(-6). Suppose -4*z + 26 = -10. What is the derivative of z*g - 3*g + g**2 - 6*g + b wrt g?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -51836, -103671, -155506, -207341?\nAnswer: -259176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4839781 (base 10) in base 9?\nAnswer: 10085834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-1 - -1) - (-535 + 540) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*c*k*z + 2*c*p - 3*k*p*z - 326*k - 4*p*z wrt z.\nAnswer: -3*c*k - 3*k*p - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -1585*u - 130. Let i(v) = 72*v + 6. What is -130*i(y) - 6*t(y)?\nAnswer: 150*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/629 and 31\/185.\nAnswer: 3145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 4*g**2 - 15*g + 4. Let a(m) = 2*m**2 - 8*m + 2. Calculate -7*a(n) + 3*i(n).\nAnswer: -2*n**2 + 11*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/(-8)*(13 + -9). Suppose 2*w + a = -5*t, -5*w + t + 5 - 26 = 0. Let m be ((-24)\/(-9))\/(-2)*-3. Sort w, 5, m in increasing order.\nAnswer: w, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1717933 (base 10) in base 14?\nAnswer: 32a0d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -92 - -113. Suppose -5*k + r = 3*j, 0 = 16*k - 21*k + 3*j + 9. Solve -u + i + 7 = 0, 3 = -k*u + 4*u + i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1149218?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 658 and 732141466?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-74)\/(-6) + (-3)\/9)\/2. Let x(z) be the second derivative of -z**5\/20 + 5*z**4\/12 + 2*z**3\/3 + 4*z**2 - z. Calculate x(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*z - 28*z - 4 = 0. Suppose 0 = z*b - h - h + 6, -3*b + 4*h - 7 = 0. Let o(t) = 2*t**3 + t**2 + t + 1. Calculate o(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, 2.4, -222, -3, 0.2, -1.7 in descending order.\nAnswer: 2.4, 0.2, -1\/2, -1.7, -3, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(228)\/(sqrt(108)*-6 + sqrt(12)).\nAnswer: -sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -975 divided by -9827\nAnswer: 975\/9827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -89 + 98 + -20 + -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.036474778 to four dps.\nAnswer: -0.0365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -124124440 (base 5) to base 7.\nAnswer: -5136111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1490 and 1341?\nAnswer: 13410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-8))\/((-255)\/(-1530))*(-52)\/3\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 + 1 = 11*y. Let z be (y - (4 + 0)) + 9. Find the third derivative of -9*h**2 + 6*h**3 + z*h**2 + 2*h**3 wrt h.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, i: 4, t: 3, g: 1, w: 7}. Give prob of picking 2 t.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1992 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26 + 7620\/(-238) + (-396)\/(-23562).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 549313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -166*k**2 - k - 27. Let l(n) = -92*n**2 - n - 14. Let q(g) = 9*l(g) - 5*u(g). Let y(m) = m**2 - 2*m + 4. Calculate 6*q(s) - 13*y(s).\nAnswer: -s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(2*((-2*sqrt(189))\/sqrt(3) + sqrt(126)\/sqrt(18))\/(5*3*sqrt(900)))**2.\nAnswer: 14\/675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14725817*p**6 - 29842584*p**2 wrt p.\nAnswer: 1767098040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 - 6*x**2 - x - 3. Let g be c(-6). Suppose -6 = g*m - 6*m. Solve -7*b + 3*b = 3*w - 29, -m*b = -2*w - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (19 - 17) + 0 + -1 - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 + 15*s**2 - 10*s - 20. Does 7 divide w(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + 918?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(12\/9)*(-42128)\/(-663516).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 545, 930, 1317, 1706, 2097?\n\"Answer: i**2 + 382*i + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-504)\/(-112)*14\/(-9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 6*s**3 + 2. Let i(p) = -3*p**3 + 5*p**2 + 5. Let w(x) = -2*x**3 + 3*x**2 + 3. Let f(q) = 3*i(q) - 5*w(q). Give c(r) - 8*f(r).\nAnswer: -2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 - -1034230?\nAnswer: 1034221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1074250 and 125.\nAnswer: 1074250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of q**6\/360 + 17*q**5\/180 + 2*q**4\/9 + 73*q**2\/2 + 14. Let i(k) be the second derivative of j(k). Factor i(v).\nAnswer: v*(v + 1)*(v + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 41712 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100\/1 + (-6)\/(0 + 6)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2\/(-8) + 268\/(-48)*-45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = t - 88. Suppose -z + 6 + 4 = 0. Calculate the greatest common divisor of z and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -6*m + 1. Let z be n(3). Suppose 2 + 7 = -3*y. Let l = y - z. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1497*a**3 - 2*a**4 + a**4 - 504*a**3 - 489*a**3 + a + 2*a**2 + 110 - 501*a**3 in the form d*a + c*a**4 + h + s*a**2 + j*a**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7445 is divided by 2398.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 155\/378 + 1\/54. Which is the closest to -1?  (a) m  (b) -5  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/l**(-1\/5))\/l)\/l*l*(l*(l*l**(1\/3)\/l*l)\/l)\/l)**2 assuming l is positive.\nAnswer: l**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 15, 43, 105, 213, 379, 615, 933?\n\"Answer: 2*z**3 + 5*z**2 - z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 + q**2 + 16*q - 10. What is n(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 87 + 72. What is the remainder when d is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 696, 5, -1, 145 in ascending order.\nAnswer: -1, 1, 5, 145, 696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 - 4*i + 3. Let l be 4\/6 + 20\/6. Let f be k(l). Suppose -7*b = -f*b. Solve b = 4*x - x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, 12, 102, -0.5?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + 12. Let m be ((-1)\/(-2))\/((-2)\/(-20)). Suppose -3*n + 166 = 2*k - 2*n, -m*n - 20 = 0. What is the highest common divisor of k and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*z**3 + z + z**4 + 3 - z**2 - 61*z**3 - 43*z**3 - 18*z**3 - 13*z**3 in the form a*z + u*z**4 + p*z**3 + y + n*z**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1170 and 1053.\nAnswer: 10530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -2892?\nAnswer: -1446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -529*y**2 - 29623*y + 42. Determine u(-56).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 537, 769, 1001?\n\"Answer: 232*k + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*u - 11*u + 11*u - 1 - 2*u + 1 + (0*u - u - 2*u)*(2 + 0 - 1) - u - 2*u + 4*u.\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -4*m**2 - 47*m - 99. Let g be k(-9). Which is greater: 172 or g?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -728 - -728.1. Sort -0.004, i, 0.3 in descending order.\nAnswer: 0.3, i, -0.004","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*o + 5*o - 84. Solve 3*m = 5*g - o - 11, -g = m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 2, 41, -2\/11, -2\/13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -15 + 1022?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 3368, 13469, 30302, 53867, 84164, 121193, 164954?\n\"Answer: 3366*c**2 + 3*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-2))\/(11\/((-121)\/(-11))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 + 5*c - 1. Let k(u) = 8*u**2 + 30*u - 6. Let n(j) = k(j) - 6*w(j). Let l(x) be the second derivative of 5*x**3\/3 - x. Give n(l(i)).\nAnswer: 200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15200 - 4540. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 77\/244 - 4\/61. Suppose -3*t + 7 = -5. Are q and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2251\/72 + 243\/8. Let b = 0.0308 + -0.0308. What is the third smallest value in b, -0.3, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 4420*j**2 + 8861*j**2 - 4425*j**2.\nAnswer: 16*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 718681251*i**4 - 11926*i - 26247?\nAnswer: 8624175012*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -88576 - -88603.0038. Let d = -27.015 + 0.015. Let s = v + d. What is s rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -52769 + 186604. Let o = -133834.400005 + a. Let r = 0.6 - o. What is r rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 7199876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*w + 57*w = -49*w + 51840. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64897700047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -402 + 444?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 292 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/21 - 47\/(-7). Let a(u) = 3*u**3 - 5*u + 7. Let j(n) be the first derivative of n**4\/4 - n**2 + 3*n + 1. Determine r*j(c) - 3*a(c).\nAnswer: -2*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 8820 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: Are -16342550\/11 and -1485686 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t. Let x(q) = -170*q - 88. Let y(k) = 5*d(k) + x(k). Differentiate y(z) wrt z.\nAnswer: -175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2*(0 + (-23)\/2). Differentiate 2 + 3*p**2 + 23*p - x*p wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*u - 35*u + 140*u + 41 - 36*u - 4 - 35*u.\nAnswer: -u + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 - -156a?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of r**6*s**3 + 207*r**3*s**3 + r**2*s**2 + r*s**3 - 3 wrt r?\nAnswer: 120*r**3*s**3 + 1242*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 3:31 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 17 - 4 - 5*h**2 + 6*h + 2*h. Let z be p(9). What is the units digit of z\/(-55) - 10\/(-55)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 6138.1?\nAnswer: -24552.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 1\/6  (b) -0.14  (c) 0.2  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-24)*i*i\/(i**(-1\/30)\/i)*i*i)\/(i*(i*i*i\/(i*i**(3\/7)\/i))\/i*i*(i**(-11)*i)\/i) assuming i is positive.\nAnswer: i**(-2213\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c**4 - 4329*c**3 - 231964*c**2 - 1235724*c = 0. Calculate c.\nAnswer: -47, -6, 0, 4382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 8.6 times 3.3\nAnswer: 28.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (54\/(-36))\/(((-12)\/(-70))\/(8\/14)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 161\/210 + 6\/(-10). Which is the nearest to -1?  (a) 1\/12  (b) -1\/4  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 179186 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 9150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28735 divided by 35.\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -193 (base 12) in base 3?\nAnswer: -100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -93*d**3 + 2 - 225*d**3 - 10*d - 47*d + 54*d in the form l*d**3 + y*d + s*d**2 + c and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 39, 201, 487, 909, 1479?\n\"Answer: 2*a**3 + 50*a**2 - 2*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 8, l: 6, a: 1, y: 2, t: 1, i: 2}. What is prob of sequence tya?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zrrr when four letters picked without replacement from zrzrrrrrzzzr.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -193 + 15975. List the prime factors of k.\nAnswer: 2, 13, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/17  (b) 14  (c) 0.89  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3*(56\/(-3))\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 32 = -3*y - 2*p, p + 12 = 2*y. Suppose 20 = 3*a - 4*g, -4*g = 3*a - y*a + 20. Solve a = -c + 4*c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*k**4 + 2*k**4 + k**4)*(0 - 2 + 4) + 1503*k**4 - 839*k**4 + 332*k**4.\nAnswer: 988*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 306 and 809370.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j**4\/9 - 122624*j**3\/9 + 1593386*j**2\/3 - 52942816*j\/9 + 180387712\/9 = 0.\nAnswer: 8, 23, 61273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 - 8*o**2 + 4*o + 12. Let w be h(-9). Suppose -w*y + 51*y - 36 = 0. Is -9 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34, 0, -4308 in increasing order.\nAnswer: -4308, 0, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, v: 13, z: 5}. Give prob of sequence uv.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 + 14*t + 17. Suppose -28*k = -331 - 145. Calculate m(k).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11 - -24) + -23)\/(56\/8 - -9)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2 - 2*u - 1. Is 6 a factor of f(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:33 AM and 11:06 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11\/7 + -17\/7. Let f = 7 + 0. Suppose 0 = 4*h - f*h - 6. Is u < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 239\/22, 1\/2, 1.\nAnswer: 1\/2, 1, 239\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**3 - s**2 - 11. Let u(w) = -w - 7. Let o be u(-6). Let r(c) = c**2 + c - 1. Let m(y) = o*b(y) + 5*r(y). Give m(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125265589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5771 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 145160611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 569493 + -405022. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 4753\nAnswer: 4752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2 + 5*o + 36*o**3 - 3 + 5*o**2 - 34*o**3. Let u(y) = 6*y**3 + 16*y**2 + 16*y - 16. Determine -16*a(l) + 5*u(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -361.41 - -359. Let c = -0.69 + n. Let k = -2.95 - c. What is k rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20753, 20873, 20993?\nAnswer: 21113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.4348 + 0.405901. What is c rounded to four dps?\nAnswer: -0.0289","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 713123876 + -52.3?\nAnswer: 713123823.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*b**2 + 2*b**2 + b**2)*(-8 + 29*b + 12 - 6)*(2*b + 3*b + 0*b).\nAnswer: 1450*b**4 - 100*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-29)\/(2900\/(-375))*(-8)\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (252\/(-1050))\/(18\/(-300)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6 + 14d068?\nAnswer: 14d06e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 537*y**3 - 531*y**2 - 3228*y - 36 = 0 for y.\nAnswer: -2, -2\/179, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, c: 17}. Give prob of picking 1 y and 1 c.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1339*t = 1340*t - 2*a + 18, t - 2*t - 5*a = 46 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) -301078517  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (31*c**2 - 6*c + 37*c**2 - 86*c**2)*(0*c + 4*c + 10*c) + (c - c + 2*c)*(-14*c**2 - 6*c**2 - c**2).\nAnswer: -294*c**3 - 84*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of -3 + 0*q - q**2 - 53\/30*q**5 - 11\/3*q**3 + 1\/24*q**4. What is the second derivative of h(v) wrt v?\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 + 6*z - 4. Let t be p(-7). Let i(q) = -2*q + 6. Let s be i(t). Suppose s = 3*j - 8 + 2. Solve -4*n - 6*m - 16 = -2*m, 20 = -j*n - 5*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + 17*r + 40. What are the prime factors of a(11)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 AM and 2:20 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 - 11. Let w = -20 + y. Let p = -10 - w. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2097325 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 the highest common divisor of 134 and 1196620?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -382 + 380 + (-1 - -33)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * 3617\nAnswer: 1085.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*h*w*x**2*z - 2*h*w*x**2 + 87*h*w*z - 8*h*w + h*x**2 + 8*x**2*z - 22*x**2 wrt z.\nAnswer: 2*h*w*x**2 + 87*h*w + 8*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ldmddpbdm. What is prob of sequence dd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 + 1 - (-70 + (-77 - -125)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14 (base 13) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -4*f - 18, 0*k + 2*k - 6 = -2*f. Suppose 5*n - 5*a = -10*a + 60, -k*n + 72 = 2*a. What is the remainder when n is divided by 56\/6 - 3\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 700752\/58 - 138\/(-2001)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -17*d**3 - 256*d**2 - 13*d + 30. Let m be u(-15). Put m, 10, 5, 0.5, 2\/5 in descending order.\nAnswer: 10, 5, 0.5, 2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, s: 1, l: 2, m: 2, e: 3, d: 2}. Give prob of picking 1 e and 1 q.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*v - 52 - 2 = 147 + 57 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 383 = 7*x + 404. Let i be (-55)\/110*(x + 1)*-53. Is i bigger than -266\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.24860095 to three decimal places.\nAnswer: -0.249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 2)*(-2*d**3 + 3*d**3 + d**3) + (3*d + 3*d**3 - 3*d)*(0 + 0 - 2).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/11  (b) -2\/15  (c) -3  (d) 6\/13  (e) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 101 - 201\/2. What is the biggest value in -0.3, -4, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113390912561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19644, 26257, 37284, 52731, 72604, 96909, 125652, 158839?\nAnswer: 196476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95*y + 118*y = -161 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 - 26*t**2 - 21*t + 27. Let a be d(-25). Let y = -57 - a. Find the first derivative of 17 + 3 + 39*x - y wrt x.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4476*k**2 - 1096 - 321*k - 259*k - 103*k - 4*k**3 + 143*k + 5028*k**2.\nAnswer: -4*(k - 137)*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, b: 11}. Give prob of picking 1 b and 3 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-4)*40\/(-50)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -585, -610, -683, -828, -1069, -1430, -1935, -2608?\n\"Answer: -4*l**3 + 3*l - 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 PM and 6:30 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 2\/5  (c) 3  (d) -2.1  (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-33)\/(-9) - 6\/9. Let i be 2*(2 - p) - -2. Does 19 divide (-48 - -1)\/(i - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m + 2*g + 11425, -5*m - 3*g - 437 = -19447. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -12  (c) -6331  (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 AM and 7:39 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -25 - -45f?\nAnswer: 43a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/(-28) + 36163\/(-130123). Are u and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 315856, 631711, 947566?\nAnswer: 1263421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.1999997 + -2.2. What is c rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10804?\nAnswer: 2, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*z + 24 = -19*z. Suppose -z*g - g + 1440 = 0. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/10?  (a) 0.3  (b) 1  (c) 0.1  (d) 0.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*b**2 + 173 - 1232 - 2751*b + 2751*b.\nAnswer: 60*b**2 - 1059","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 26665 - 25814. Which is the biggest value?  (a) x  (b) 2\/13  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -965 divided by -4?\nAnswer: 965\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 59 - 89. Let l = -29.6 - v. Suppose 21*a - 123 = 3. Sort -3, a, l in ascending order.\nAnswer: -3, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8306?\nAnswer: 2, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21 - (-6)\/4*8\/12 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -211.11 and 0.2.\nAnswer: -210.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 3*u - 143 = 0, 4*h - u = 29 - 590. Let l be 4\/10 + h\/(-25). Suppose 3*z + 11 = -f, -2*z = 4 + l. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -1624*c + 100690. Calculate s(62).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 7*d**3 + 5*d**2 + 6*d + 5. Let f(y) = -144*y + 290*y - 145*y + 1 + y**2 + y**3. Give -5*f(w) + r(w).\nAnswer: 2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.05  (b) 0.4  (c) 5\/2  (d) -0.5  (e) 15468  (f) -2  (g) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5.568362l?\nAnswer: 5568.362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 12 - 11 + 11*a**4 - 8 - a**2 + 28 - 2*a + a**3 as z*a**2 + i*a + g + l*a**3 + n*a**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 11365909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 a factor of 6889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 11*r - 261 = 58*r - 169 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 823010 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -2*h**2. Suppose 4*i + 16 + 0 = 4*y, y - 4 = 0. Let o = i + 1. Let l(v) = 2*v**2 + 1 - o. Determine l(s(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 3 q when four letters picked without replacement from qnwqqrnqwbwqrbr?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/632 and -29\/4?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**3 - 5*q**2 + 2*q. What is the remainder when 39 is divided by n(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 3*r = -7*r + 26, -3*r = -4*n + 9. What is the second derivative of 9*y + 2*y + 3*y**2 + n*y**2 - y wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -117*r. Let k(w) = 286*w. What is u(k(c))?\nAnswer: -33462*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -4599861 < -4599856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85126373.\nAnswer: 41, 71, 29243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -5*z + 5*b, -z + b - 25 = 4*z. Let h be (1\/(z\/9200))\/1. What is h rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 9\/4*i + 15\/4*i**2 + 3\/4*i**3 - 27\/4 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5458282 - -876417?\nAnswer: -4581865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -101*q + 1454. What is the tens digit of w(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 174 and 111742.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/5, -13, -5 in increasing order.\nAnswer: -13, -5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3503786 and 13222?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3014 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2390031?\nAnswer: 3, 7, 59, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 1, -2, 90, 2 in ascending order.\nAnswer: -5, -2, -1, 1, 2, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -145, -120, -57, 62, 255, 540, 935, 1458?\n\"Answer: 3*n**3 + n**2 + n - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v + 78 = 2*v. Suppose -v*o - 21 = -13*o. Suppose 12 = o*y - 2*y. Is y != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 - (-5)\/((-35)\/42). Which is the smallest value?  (a) -1\/3  (b) -26  (c) -0.1  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23111 + -23115. Sort s, -315, -14 in decreasing order.\nAnswer: s, -14, -315","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/17592 and -59\/60?\nAnswer: 87960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/5333196 and -73\/2666598?\nAnswer: 5333196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -615 or -82303\/134?\nAnswer: -82303\/134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 117589 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-41 - -28) + 26 - (61 - -1)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = 5*q + 3*i + 1, -2*q - 2*i + 4 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.190575 millilitres to litres.\nAnswer: 0.008190575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 447329185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 + z - 1. Suppose 37*n + 42 = 23*n. Let p(y) = -61*y**2 - 4*y - 123. Let v(s) = n*d(s) - p(s). What is the first derivative of v(r) wrt r?\nAnswer: 116*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36 and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15 - 10 - 23*a + 40 to k + q*a and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (146 + 145 - 291 - 873*i - 1327*i)*(3*i - 3 + 3).\nAnswer: -6600*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - -7. Let i(c) = -3*c**2 - 2 + 2*c**2 + 6 + j*c. Let x be (-3605)\/(-525) - (-2)\/15. Give i(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -3*c + 9. Let y be i(4). Let w(x) = 5*x**2 - x + 2. Let v be w(2). Is 27 a factor of -177*(v\/(-6) - y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.29 rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5527*t**4 - 845*t + 4 wrt t?\nAnswer: -66324*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(108))\/(sqrt(900)\/sqrt(4) + sqrt(9)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 113020930003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7226856.\nAnswer: 2, 3, 7, 13, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -2*y + 37. Let t(f) = -36. Let l(s) = 4*k(s) + 6*t(s). Let q be l(-11). Solve 0 = 4*o - 2*a + q, 4*a = 4*o - 3*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10314 - 10309. Solve 4*a + n*w + 44 = 0, -5*a + 4*w - 11 - 3 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -294, -296, -296, -294?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-40)\/(-30))\/4)\/(37\/56055*5).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-14)\/35 + 28\/45. Let m be -1 - (-7 + 2\/2). Which is the closest to -0.1?  (a) m  (b) -2\/3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, -0.4, 35, 3\/332, 0, -3?\nAnswer: 3\/332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79379*i - 9337 - 1393 = -79009*i for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1281121159?\nAnswer: 31, 47, 879287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3106 and 11?\nAnswer: 34166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 4*w - 20. Let r be o(5). Solve r = -4*p + 5*f + 5, -f = -4*f - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 5*b**2 + b. Let k(p) = 1094*p**3 - 75*p**2 - 310*p. Let v(h) = k(h) + 15*q(h). Find the second derivative of v(g) wrt g.\nAnswer: 6564*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of -x**6\/6 + 319*x**3\/6 - 293*x**2\/2 + 2914*x. Differentiate p(t) wrt t.\nAnswer: -20*t**3 + 319","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 34 = -5. Let u be j\/(195\/10) - (-5)\/3. Which is greater: u or 3.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(500)*-2 + -2)**2.\nAnswer: 120*sqrt(5) + 2009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/2, 64, -0.4, 1, -5\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -200910 by 1.\nAnswer: -200910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(1573) + ((-3*sqrt(1573))**2 - sqrt(1573)))*6 + 3*sqrt(1573)*3)*1.\nAnswer: -424710 - 495*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/7851 and -4\/87.\nAnswer: 227679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -23353, -46442, -69539, -92644, -115757, -138878?\n\"Answer: -4*m**2 - 23077*m - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and -382\/115799 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(2\/5)*p**(-1\/3)\/p)\/(p*p\/(p**5*p)*p*p*p**(-1\/5)))**(-11\/5))**(-1\/2) assuming p is positive.\nAnswer: p**(209\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 + 6*k**2 - 2*k + 11. Determine x(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8 + 0.1.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**2 - 12. Let m be k(0). Let t = m - -25. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*x = -13*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 i, and 1 c when three letters picked without replacement from {d: 1, c: 2, i: 1, j: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 745?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 29745 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -11212111222220 (base 3) in base 9?\nAnswer: -4774886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10164 or -10163?\nAnswer: -10164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0005237768 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 31.\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -71 - -53.6. Let h = v - -17. Let d = -0.223 + 0.123. Which is the third smallest value?  (a) -1  (b) h  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -24707245 + 5?\nAnswer: -24707240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 215 - 219 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 14*j + 339. List the prime factors of b(38).\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -43*h**3. Let r be ((-13)\/26)\/(13\/78). Let k(w) = 44*w**3. Give r*k(i) - 4*j(i).\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11868, 47487, 106852, 189963?\nAnswer: 296820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 w when three letters picked without replacement from rfrrvrwrrrrwrvrw?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of v**6\/15 - 22*v**5\/5 - 148*v**3\/3 - 604*v. What is the second derivative of l(p) wrt p?\nAnswer: 24*p**2 - 528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*y + 2*y - 42*y**3 + 48*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -30, 0.04, 45?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*v + 2*v - 6 - 7*v)*(4 - 2 - 1)*(-2*v**3 + 0*v + 0*v) as t + m*v + b*v**3 + u*v**4 + d*v**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -2*s**3 - 85*s**2 + 308*s - 652. Give b(-46).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -11982042, -11982048, -11982068, -11982108, -11982174?\n\"Answer: -g**3 - g**2 + 4*g - 11982044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from ikixpxexeiuu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + 34 = -26. Suppose 3*a - 8*a + z = 0. Determine k so that 2*k**2 - 6*k - 2*k**a + 22*k + 2*k**2 = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/6*(-216)\/16. Solve s = 4*s - z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -5, -28108, 7 in decreasing order.\nAnswer: 13, 7, -5, -28108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10770 and 137040?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 5*k**3 - 441645*k**2 + 7065115*k - 6623475 = 0.\nAnswer: 1, 15, 88313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 661*a**2 - 63431*a - 2407. Determine u(96).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*f - 44 = 4*h, -f = 2*h - 4 + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 322.5 to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 986982 a multiple of 542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 15, 8, -19, -66, -133, -220, -327?\n\"Answer: -10*i**2 + 23*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -666, -2755, -6244, -11139, -17446, -25171, -34320, -44899?\n\"Answer: -j**3 - 694*j**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -254.09 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 386562, 3092614, 10437612, 24741030, 48322342?\nAnswer: 83501022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -492120, -492055, -491956, -491805, -491584, -491275, -490860, -490321?\nAnswer: -489640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 719309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-20)\/(-210) - 3\/7. Which is the closest to -1?  (a) p  (b) 0  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 434 + -723. Let n = l - -440. Suppose 2*t - c - n + 52 = 0, c + 48 = t. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -408, -5, 45 in descending order.\nAnswer: 45, -5, -408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 6, w: 4, a: 2, r: 3}. What is prob of picking 1 r and 2 j?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 + 3*c**2 - 2*c. Let s(p) = -28 + 7*p**2 + 28 + 2*p - 3*p**3 - 6*p. Give -7*i(d) + 3*s(d).\nAnswer: -2*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 - -15. Let i(k) = -17*k - 63. Let s be i(-11). Suppose -b*l + 588 = s. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -301 + 300.94. What is the smallest value in w, -4\/9, -2\/9, 0.1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 1 + 2 + (0 - 2 + 3)*(-1 + 7 - 4) - 3 + 6 - 4 + 1 + 9 + 16)*(-5*j**2 + 2*j**2 - 3*j**2) as p + i*j + n*j**2 and give n.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 PM and 7:05 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 116\/3*v**4 - 16\/3*v + 452\/3*v**3 + 32\/3 - 112\/3*v**5 - 472\/3*v**2 = 0.\nAnswer: -2, -1\/4, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15*4\/(-12))\/(21 - (4 - (-11344)\/672))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25 + 3*k + 25)*(5 - 1 - 6)*(-5*k + 13*k + 4*k).\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 85*f**2. List the prime factors of t(-1).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 PM and 9:07 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -326*h**2 - 2*h + 94 wrt h.\nAnswer: -652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (15 - (73 + 0)) + 125?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1516 - -1541. What is the remainder when 296 is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = -s + 6*s. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 2*r**2 - 1 - 2*r**2 + r**2 + 3*r**2 + 0*r + 0*r + r**2 + (r + r - r)*(r + 1 - 1) + 5*r**2 + 0*r**2 - 4*r**2 + 0*r**2 + r**2 + 0*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 156960 divided by -1744\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 202 divide 145440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2*j. Let t(i) = -114*i. Determine x(t(z)).\nAnswer: 228*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1070.5 - 0.07.\nAnswer: 1070.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Do -196 and 21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6648 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -3*n**4 + 1839*n**3 + 1845*n**2 - 1839*n - 1842 = 0.\nAnswer: -1, 1, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + i = -4*g + 32723, 3 = -3*g. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -3*t + 64. Calculate p(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1808 and 1092936?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the second derivative of j**3\/6 + 13*j**2\/2 + 33*j. Let l(w) = 3. Calculate 9*l(x) - 2*t(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -7*i**3 - 5*i**2 + 5*i + 5. Suppose 5 = 4*x - 7. Let l(d) = -4 - 2*d**3 + 4*d**2 - d**3 + 6*d**3 + 3*d**x - 4*d. Determine -5*l(n) - 4*q(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 2\/9*r - 1\/9*r**3 - 1\/3*r**2 + 0 + 1\/3*r**4 - 1\/9*r**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 6. Let y = 0 + v. Which is the closest to y?  (a) 0.5  (b) 0.1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 298231456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) -2\/3  (b) 2  (c) 0  (d) -8\/2037\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/490261 less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9646*h**3 - 13*h**2 + 109.\nAnswer: -57876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4902590 to the power of 1\/2, to the nearest integer?\nAnswer: 2214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the third derivative of 5*x**4\/8 + 306*x**2 - 1. Let t(j) = -2*j + 15. Calculate t(l(i)).\nAnswer: -30*i + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -10, -16, -20, -16, 2?\n\"Answer: s**3 - 5*s**2 + 2*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -3*t - 41, -3*y + 5*y + 4*t + 84 = 0. Let l be y\/(-198) - 112\/18. Let f(a) = 40*a**2 + 9*a + 13. Is f(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -3. Let d = -13 + 14. What is the closest to 1\/3 in -0.4, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 737600 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2 + 7*v + 4. Let q be o(-5). Let p be ((-3)\/q)\/((-2)\/(-20)). Is p at least as big as 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 62786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -10\/7  (b) -1  (c) -188\/7  (d) 0  (e) -648\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 11027*j. Let a(b) = 7*b. Determine t(a(f)).\nAnswer: 77189*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7751 and 18.\nAnswer: 139518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 take away 43.3?\nAnswer: -43.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 936878218 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -0.05  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 184225968?\nAnswer: 2, 3, 251, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -1, 5, 3, -4 in ascending order.\nAnswer: -4, -1, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*m**2 + 3*m**3 - 178 + 178.\nAnswer: 3*m**3 + 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -733*c**2 - 449*c + 1 wrt c.\nAnswer: -1466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 986622 and 5?\nAnswer: 4933110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 70 + 106 = 0. Calculate the smallest common multiple of 36 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 110 is divided by 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*k**3 + 18*k**3 + 13*k**3 + 63*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -59*v**3 + 410*v**2 - 714*v - 185. Let a(p) = -30*p**3 + 204*p**2 - 357*p - 93. Let g(t) = 5*a(t) - 3*r(t). Factor g(i).\nAnswer: 3*(i - 5)*(i - 3)*(9*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, g: 1, f: 1, t: 1, s: 1}. Give prob of sequence fz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30536 (base 7) to base 14.\nAnswer: -2a1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*g - 27*g**2 + 7310 + g - 7308 as d*g**2 + w*g + b and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 35 = 2*z. Suppose 6*b - 3*b = 9. Suppose 4*d - b*p + z = 0, 5*d - p = 4*p - 10. Which is smaller: d or -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -446, -463, -492, -533, -586?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -183 - -183. Let n(y) = -2*y + 3*y + 2 - 4 - 1. Let x be n(0). Which is the nearest to x?  (a) 1  (b) 5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - 27. Let p = w - -40. Let g = p - 18.7. What is g rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**(-5\/2)\/g)\/g*g**7)**(-3\/19))**2 assuming g is positive.\nAnswer: g**(-21\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -43 - -99. Suppose -328 = -2*n - 0*q + q, 4*n = -q + 656. Calculate the remainder when n is divided by k.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -261 + 267 = 6*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4343, -4342, -4341, -4340, -4339?\nAnswer: -4338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((12\/21)\/(-1))\/((-2)\/133). Calculate the remainder when o\/57 - (2048\/(-6) + 2) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1677180 (base 13) to base 15.\nAnswer: 9891b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 112 and 308?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6664711 = 390*d - 6622201 for d.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 73 - 70 - 2\/(-1). Suppose -4*x + 46 = -w - m*x, -w = -x + 56. Put 2, w, -4 in decreasing order.\nAnswer: 2, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-4860)\/(-2700) + (-48072)\/(-10) is divided by 79?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 162823 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n. Suppose -4 + 0 = -i. Let v(y) = 15*y**2 - 7*y. Let m(r) = i*b(r) + v(r). Find the second derivative of m(c) wrt c.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -4, -0.4, -6266, 3\/2, 4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -7*r**3 - r**2 + 6*r - 5. Let v(c) = -8*c**3 - c**2 + 7*c - 6. Let w = 14 + -9. Suppose 0*b + b + w = 0. Calculate b*v(l) + 6*a(l).\nAnswer: -2*l**3 - l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(891) + 0 + sqrt(11) + sqrt(11)*-3*6.\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/3*(-33)\/2. Suppose 0 = 7*w + 32 - l. Is w smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/14 and (-44616)\/5346 - 3\/(-7) - -8.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2396 and 5784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 131, 1, -3 in descending order.\nAnswer: 131, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75992\/15 + (-17)\/(1275\/10)?\nAnswer: 2, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2890618 - 0?\nAnswer: 2890618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -4  (b) -2\/301231  (c) 1  (d) 123  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1300 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/114 and -11\/27338.\nAnswer: 1558266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.2 and 4813819364.\nAnswer: 4813819363.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 217 is divided by 128?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18267*x - 18273*x = o - 16, -5*x = 5*o - 30 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v**5\/3 - v**4\/3 - 2*v**3 + 4*v**2\/3 + 8*v\/3 = 0. Calculate v.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 17623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -107 + 1?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/100 and 52\/2075.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 - -12. Suppose t = 3*m - 4, t + 2*m = -t + s. Solve -b - t*p - 3 = 0, -b - p - 2 = -1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1505 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 266014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**0\/y)**(-2\/31)*(y\/(y*y\/((y*y*y*y\/(y*y**1))\/y)))\/y*y**(2\/11)\/y)\/((((y**0*y)\/y)\/y)**(1\/8)*((y**(1\/3)\/y*y)\/y)**45) assuming y is positive.\nAnswer: y**(77397\/2728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (6\/24 + (-132)\/(-112) - -5).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/325740 and 73\/521184.\nAnswer: 2605920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 57 and 45201?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 22, -5, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 - 9*j + 5. Let v = 21 + -13. Let l be d(v). Is -3 not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -2*t + 205. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -3*h**5\/8 + 6045*h**4\/8 - 54207*h**3\/8 + 90195*h**2\/8 + 75225*h\/4 = 0?\nAnswer: -1, 0, 5, 2006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 240511 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -30 + 60. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 305 = 23*m - 17. Suppose q = 4*q - 15. Suppose -c - 40 = -q*c. Calculate the lowest common multiple of m and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -41 - -84. Suppose 83*i + 290 = 112*i. What is the remainder when a is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 119061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - -33b?\nAnswer: 33c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 - (-22239)\/35 - (-4)\/(-10). Let y = q + -627. What is the nearest to -2\/5 in 2\/13, 0.5, y, -3\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1192 + -1189. Sort -4, h, 35, 5 in decreasing order.\nAnswer: 35, 5, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 472679 is divided by 31511?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 1143751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.22 + -0.22. Let x = -0.2 + 0.18. Let i = x - 0.03. Which is the closest to -0.1?  (a) z  (b) i  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/2 or 19910\/1261?\nAnswer: 19910\/1261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -175, 336, 1241, 2540, 4233, 6320, 8801?\nAnswer: 11676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 PM and 4:47 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/6)\/((-4)\/6). Let h(q) = 2*q + 10. Let z(f) = -3*f - 10. Let l(g) = 4*h(g) + 3*z(g). Let b be l(5). What is the third smallest value in b, k, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 141481543 to the nearest integer?\nAnswer: 11895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(10\/(-4))*(-260)\/26?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1719956983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1881\/(-594) - ((-3)\/12)\/(3\/30). Let u = -5 - -3. Sort r, u, 1\/2, 0.1.\nAnswer: u, r, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.026?  (a) 0  (b) 3\/7  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 3*t - 883 - 3674 - t**2 - 4*t. Let o be r(0). Let w = o + 72849\/16. Find the common denominator of w and -75\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -2*s - 2*s. Let x(o) = -9*o - 12. Let f(c) = -8*c - 12. Let d(i) = 5*f(i) - 4*x(i). Let u be d(-4). Solve -a - 4 = s*k, -2*k - 4 = u*a + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/(-56)*(-25)\/(1400\/(-96))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, -113, -398, -931, -1790?\nAnswer: -3053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cgn when three letters picked without replacement from {g: 4, c: 3, n: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 12 = -2*h, 5*k + 5*h = 6*k - 47. Suppose -2*f + 41 = -13. What is the remainder when k is divided by 6\/f - 79\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*s**3*x**2 - 8953*s**3*x - 25*s**2*x - s*x**3 - 24*x**3 + 277*x**2 wrt x?\nAnswer: -14*s**3 - 6*s*x - 144*x + 554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 220\/11*2\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34493985.\nAnswer: 3, 5, 255511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 5*y - 12, -4*h + y + 9 - 3 = 0. Let t(j) = -57*j**2 + 59*j**h + 0 + 0. Let w(b) = -12*b. Give t(w(q)).\nAnswer: 288*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -524.3 + -0.4.\nAnswer: -524.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**3 - m**3 + 0*m**3)*(-1 - 1 + 1) + (-9*m**2 - 6*m**2 - 8*m**2)*(5*m - 4*m - 3*m).\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 640194?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 209 + (4 - 8\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -5*a - 810*a**2 - 2*a**3 + 810*a**2. Let d(k) = -2*k**3 - 4*k. What is 5*d(v) - 4*o(v)?\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - -1 - (42 + -35) - -19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-2\/7)*b\/b**(-20)*((b\/(b**(-15\/7)*b))\/b)\/b**(-26\/3) assuming b is positive.\nAnswer: b**(641\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 5*i + 307 = 0, -2*i = -n + 109 - 29. Suppose -4*g - n - 138 = -4*o, 5*g = 4*o - 219. Calculate the highest common divisor of 34 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from veveeewv. What is prob of sequence wve?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 3*w**2 + 2*w - 1. Let i be o(1). Solve 4*p - i = -4*a, -29 = -5*a - 2*p + 5*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 63 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 26422*(-5)\/(10\/(-654)) - -4. Suppose v - j - i = 0, 3*v + 0*j - 25920006 = -3*j. What is v rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -33.62 - -33.92. What is the third smallest value in -2\/227, 8, q?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 87032000 and 8703200?\nAnswer: 87032000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 2 m when four letters picked without replacement from {d: 1, f: 2, j: 6, m: 3, i: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i - 2. Let b be z(1). Let r be ((-12)\/(-2))\/(9\/6). Let x = b + r. Solve -x*k = -8*k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/2930564 and 141\/32236204.\nAnswer: 32236204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 112\/14 + -1*1*4. Suppose 24 - 55 = -n*j - 5*p, -30 = -3*j + 3*p. Let v be (6 - 1730\/(-9)) + (-2)\/j. What is v rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12733, 25416, 38053, 50644, 63189, 75688?\nAnswer: 88141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(42)\/(sqrt(54)\/((sqrt(576) - sqrt(9)) + sqrt(9)))*-4.\nAnswer: 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10\/2 + (-462)\/110. Which is the third smallest value?  (a) -2\/3  (b) 1\/6  (c) r  (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*a + 7*h - 79 - 5 = -2*h + 5*h, -4*h = -9*a - 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 923608*b**5 + 19834259*b**2 wrt b?\nAnswer: 55416480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -329*n + 1. Let x(w) = 3*w - 3. Calculate -s(l) + x(l).\nAnswer: 332*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 217 - 40 = 2*t, -2*a - 120 = -t. What is the highest common divisor of 9063 and t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1716 divided by -6?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 - 149*f + 294. Let y be l(2). Which is smaller: -2\/3119 or y?\nAnswer: -2\/3119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**4 - 19*t**3 - 183*t**2 + 5603*t - 28730.\nAnswer: (t - 13)**2*(t - 10)*(t + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -557 - -1054. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52234?\nAnswer: 2, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 7*y**3 - 12*y**2 + 56*y - 74. Let z be x(10). Round z to the nearest 100.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.6, 2, 5, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 42833929 to the power of 1\/3, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -15 divided by -64831902\nAnswer: 5\/21610634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 8 = h, -4*i = -0*i + 2*h. What is the third derivative of -2*a**3 + 48*a**5 + 150*a**2 - 293*a**i + 8*a**5 wrt a?\nAnswer: 3360*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -2*d**2 + 2*d + 2. Let l = -10 + 11. Let k(f) = l + 1 - 3. Calculate -k(h) - z(h).\nAnswer: 2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1518427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 71544*m**6 - 20*m**3 - 12705227*m**2.\nAnswer: 8585280*m**3 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = 3*v + 31, -3*v + 4*v = 3*w - 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 54 + -59 - (2 - 4 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3382 (base 10) in base 6?\nAnswer: -23354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of -3 + 7 + 0 + -2 + 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -66, -1\/6, -0.13.\nAnswer: -66, -1\/6, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134 is divided by 63?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 PM and 4:16 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -27 divided by 1711\nAnswer: -27\/1711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.9381744nm?\nAnswer: 0.00000009381744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 + 2)*14\/252*18. Is n > 6\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 92513162, 92513163, 92513164, 92513165, 92513166?\nAnswer: 92513167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24145\/220 + -115)*(-88)\/6.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r + 6. Let j = 94 + -94. Calculate k(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 262 and 1322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4298509283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h**2 - 3*h**2 + 8*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of 1\/60*c**5 + 0*c**3 - 1\/48*c**4 + 0 + 0*c**6 - 1\/210*c**7 + 1\/672*c**8 + 8*c**2 + 0*c. Factor a(u).\nAnswer: u*(u - 1)**3*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/11 and -103\/2120?\nAnswer: 23320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -74775*m - 30. What is s(0)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 + 4. Let g be (3 + (-6)\/2)\/2. Let c be p(g). Suppose -c*d + 4*w + 492 = 0, 119 = -d + 2*d + w. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {z: 1, i: 3, j: 9, v: 1}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 - -5.6965?\nAnswer: -5.3035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -24*i - 7. Suppose 3*t - 5*t = -w + 4, 3*w = t + 2. What are the prime factors of j(t)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((324\/828)\/(-9))\/((-2)\/(-4))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 119467, 118880, 118293, 117706, 117119, 116532?\n\"Answer: -587*l + 120054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3*-1.11017\nAnswer: -3.33051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1705, -14108, -47881, -113710, -222281, -384280, -610393?\n\"Answer: -1781*r**3 + r**2 + 61*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -989 - -958.82. What is q rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from yhuhiiihiiiwuuh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 y when three letters picked without replacement from {m: 5, y: 5, a: 1, p: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.096 less than -6.2?\nAnswer: -6.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 + 2. Suppose 238*b + 303 = 541. What is the third smallest value in z, -5, -2\/15, b?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4878500 rounded to the nearest ten thousand?\nAnswer: -4880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 4*p + 6, y + p - 2 = -2*p. What is the third derivative of 40*d**3 - 40*d**3 - 24*d**y + 23*d**6 wrt d?\nAnswer: 2760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14262 - -43827. What are the prime factors of s?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -17*m - 5781 - 77586, -166617 = -4*s - 5*m. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 - 2*u**2 - 2*u - 4. Let m be d(3). Let k = 2 - m. Suppose k*o + 2*l - l - 119 = 0, 5*o - 170 = 4*l. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v**4\/4 + 15*v**3\/4 - 47*v**2\/2 + 30*v = 0. Calculate v.\nAnswer: -20, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add -657348 and -783070126.\nAnswer: -783727474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 - 4*o**2 + 24 + 16.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111.1687 less than -0.2?\nAnswer: -1111.3687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 2*a = 24. Let n(p) = -p**2 + 2*p. Let y be n(2). Let z = y - a. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - 2. Let q = -1.7 - n. Which is smaller: q or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4631 and -0.63?\nAnswer: 4631.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6) - sqrt(96)*-2 - sqrt(54)\/(sqrt(18)\/sqrt(2)))\/((sqrt(900)*2)\/sqrt(3)).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.08, 0.3, -2, 1\/6, 91, -1\/2 in decreasing order.\nAnswer: 91, 0.3, 1\/6, -0.08, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 147*d + 32 + 33*d**3 + d**4 + 35 + 19 - 28 + 121*d**2.\nAnswer: (d + 1)**2*(d + 2)*(d + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 12 + 154*z + 47 - 9.\nAnswer: 154*z + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 351227*w*y**3 + 152*w*y - 5*w - 2*y**5 - 2400*y wrt y?\nAnswer: 2107362*w*y - 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -326 + 101. Let t = -226 - n. What is the second biggest value in -0.5, 5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qxpxpppxqx. What is prob of sequence pqx?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2071424 divided by 16183.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 12+42695184\nAnswer: 42695196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7*60\/15*(7\/1)\/(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -199?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17852*t - 8876*t + t**3 - 5*t**3 - 6*t**3 - 8976*t.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - (52\/(-16) - 2\/(-8)). Let w = 16 - y. Find the third derivative of 18*b**2 - 3*b**2 + w*b**6 + 2*b**2 wrt b.\nAnswer: 1800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -16. Suppose v = 5*u - 15. What is the smallest common multiple of ((-60)\/(-9))\/(4\/u) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 7}. Give prob of sequence nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80601.23 micrometers to millimeters.\nAnswer: 80.60123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 3*q + 12 = 3*w, -11 = 3*q - 4*w. Let b(a) = 2*a**3 + 3*a - a**q - a - 2*a**2. Let y be b(2). Solve y - 1 = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = j. Solve -3*p + j = 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94\/(15*16\/120)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*w + 0 + 0)*(22 - 25 - 31)*(-6*w - 12*w + 2*w) + 10*w**2 + 0*w**2 + w**2 as c*w + q + f*w**2 and give f.\nAnswer: -1077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -1512*t - 304*t - 1324*t as u*t + b and give u.\nAnswer: -3140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 - 2*a**2 + 8*a - 7. Let t(h) = -2*h**3 + 5*h**2 - 15*h + 13. Let b(n) = -5*g(n) - 3*t(n). Let k be (3\/9 - 0)*15. Is b(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7520 by 110.\nAnswer: -752\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - z - 3*z = -31, 2*z + 7 = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u**5\/7 - 46892*u**4\/7 - 796618*u**3\/7 - 107104*u**2 = 0 for u.\nAnswer: -23429, -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -861.3 rounded to zero decimal places?\nAnswer: -861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 14170 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1176\/(-28)*(3 - 1). Let c = k - -225. List the prime factors of c.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3276*z = 3945*z + 175443 + 91734 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*m*v**2*z + 2*m*z + 54*m - 2*v**2 + 22*z**2 wrt z.\nAnswer: -4*m*v**2 + 2*m + 44*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -133\/162468 and -4\/40617?\nAnswer: 162468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2322003 is divided by 35723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -168.62 + 169.12. Which is the fifth biggest value?  (a) -1\/4  (b) 873  (c) v  (d) 0  (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 6*w = -s + 11, -w = 4*s - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d. Let n be v(-2). Let z = 22 + -13. Let a = z + -7. Solve k = -a, 3*k = n*l + l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 66 = -3*j - l, 5*j + 4*l - 69 = 0. Suppose 2*a - 11 + 3 = 0. Suppose -m + 9 = -a. Calculate the greatest common divisor of m and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of s**2 + 5*s**5 + 2*s**2 - 21701*s + 21939*s + 326*s**4 wrt s.\nAnswer: 300*s**2 + 7824*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*g + 6*g + 26*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 - 4*k**2 - 6*k + 4. Let z = -6 - -8. Suppose -z*h + 5*b - 5 = -7*h, 5 = h + 2*b. Let p be -1 + 1 - (-8 - h). Determine f(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-11)*880\/160. Let y(m) = m**2 - m - 3. Let r(p) be the first derivative of -2*p**3\/3 + p**2 + 4*p + 9. What is t*r(v) + 3*y(v)?\nAnswer: -v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 30 - -1664?\nAnswer: 2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 77087\/16 - 4815. What is the common denominator of -35\/18 and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18573ba (base 14) to base 12\nAnswer: -404a008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29 is divided by 3*1 + (-65)\/(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 403\/15 - 131\/5. Which is the nearest to 0.1?  (a) -0.03  (b) -0.3  (c) -1  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 3*w**3 - 28*w**2 - 18*w + 5. Let v be a(10). Suppose 2*i - 5*i = 0. Let n(j) = j + 10. Let c be n(-6). Solve i = c*u + u + v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + j - 6*j + 5 = 0, -5*p + 31 = -3*j. Suppose 3*s = -4*n + 51, -2*n + 30 = n + p*s. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of -z**8\/84 - z**5\/15 - z**2\/2 + 5*z. Let d(f) be the first derivative of b(f). Find the third derivative of d(q) wrt q.\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - u + 0*u + 4*u - 3*u + (-1 + 4 - 1)*(-u + 0 + 0) - u + u - u + (7 - 2 - 2)*(5 - 2*u - 5))*((-2 - 1 + 5)*(-3*u - 3*u + 4*u) + 8*u - 12*u - 30*u).\nAnswer: 342*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 - q**2 - 2. Let h(g) = 8*g**3 - 4*g**2 - 20*g + 24. Let t(f) = h(f) + 4*v(f). Find a, given that t(a) = 0.\nAnswer: -4\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 7, h: 1, y: 3, e: 1}. What is prob of picking 2 a?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -14 - 1. Let j = 1\/95 - 58\/95. Which is the third biggest value?  (a) g  (b) 3  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25 + -15. List the prime factors of -2*z*(-4)\/16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*t - 2 - 300*t**2 + 38*t - 381*t**2.\nAnswer: -681*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 5*l - 7. Let f(g) = -1. Let v(c) = 5*f(c) - o(c). Let u be v(1). What is the units digit of 17 + (u - -2 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1428.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 + -58 + 180 + -71?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 4*x = -24, 1 = -w - x + 2*x. Let v = -7 + w. Let m = 8551\/7 - 1222. What is the nearest to -1.4 in 0.1, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 3*y = 117, -y + 98 = 4*a + y. Let g be 3\/(a\/(-172))*2. Let q = 127 + g. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*w + 3 - 4)*(-247*w**3 + 33*w**3 - 52*w**3).\nAnswer: 532*w**4 + 798*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*q**2 + 4*q**2 - q**3 + (-q**2 - 2*q + 2*q)*(-2*q + 3*q - 3*q) + 274*q**3 - 4*q**3 - 65*q**3 as i*q**3 + v*q + l*q**2 + f and give i.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 73796362?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*x**3 - 13*x + 0 - 2*x**4 + 1 + 15*x + 1 in the form j*x**2 + b + d*x**3 + p*x + z*x**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 231 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*n - 8119 = 240*n + 567*n + 31679 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + 2 + 2 + 1. Suppose -5*d - 21 = -4*m, 3*d - 2 = -m + d. Find g such that 4*g**5 + 2*g**2 - m*g**5 - 6*g**3 + 6*g**4 - 2*g**w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -113 - -211. Suppose -5*o + 4*y + 136 = -o, -i = -3*o + y. Suppose -103 - o = -5*g. Calculate the greatest common factor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -45 - -65. What is the remainder when 76 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 101286244 to the nearest integer?\nAnswer: 10064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 407452509?\nAnswer: 3, 179, 252919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -12*s. Let y(j) be the third derivative of j**5\/10 - j**4\/12 - 7*j**2 - 4*j. Determine y(c(k)).\nAnswer: 864*k**2 + 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = q + 7. Let o(y) = -y**3 + 12*y**2 - y + 4. Let k be o(12). Let z = 1 - k. What is the highest common factor of z and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6179840?\nAnswer: 2, 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11863 + -8021. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3528 = 202*f + 239*f. Suppose 0*h + 16 = 4*h. Suppose -5*r + h*t = -19, t - 1 = -2. Solve -y - 4*y + f = -r*l, 0 = -4*l - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iccucczuucucuccuucu. Give prob of sequence icuz.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1276337962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 3*h**4\/2 + 8853*h**3\/2 - 917259*h**2\/2 + 22888647*h\/2 + 11907378 = 0.\nAnswer: -3052, -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 12967140 to the power of 1\/2, to the nearest integer?\nAnswer: 3601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:58 PM and 11:55 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14851*c**5 - 9*c**2 - 75*c - 7?\nAnswer: 891060*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 8*a + 2 + (-7 + 3 - 3)*(-3*a + 0*a + a) - 4*a + 3*a + 2*a to the form o*a + b and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 25*h - 1. Let y(a) = -26*a. Let o(n) = -5*l(n) - 4*y(n). Let j(b) = -62*b + 15. Let w(q) = 2*j(q) - 7*o(q). Differentiate w(d) with respect to d.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 85*s. Let k(x) = -33*x**2 - 176*x + 44. Let j(q) = -q**2 - 4*q + 1. Let n(u) = -44*j(u) + k(u). Give n(t(v)).\nAnswer: 79475*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of -551*r**4\/12 - 37*r - 15. Let l(m) = m**2. Determine l(j(f)).\nAnswer: 303601*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 67 + -66. Let u = 3 - 3.3. Put -1, -0.2, i, u in ascending order.\nAnswer: -1, u, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -536.58 and 502?\nAnswer: -269363.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t + t**3 + 6*t + 5*t - 7*t + 7*t**2. What is d(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -6  (b) 0.8741  (c) -5  (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = o - 5*n, 18 = -3*o + n - 4*n. Let j = o - -4. Suppose s + 5 = 0, v + j*s = s + 13. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18534 - -3410. Suppose -2*r = -3*r - 3*p + c, 3 = -p. Let n = 43953 - r. Round n to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 140859 and 2463129?\nAnswer: 3807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l - 2. Let p be t(-2). Let i be 0 - 6\/4*-2. Suppose 3*a = 4*r - 27, i*a + 12 = -r - p*r. Solve -r = -4*s - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*c**3*q**3 - 896*c**3 - 48*c*q - 2*q**4 + 10 wrt q?\nAnswer: -9*c**3*q**2 - 48*c - 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*r + 10 = 3*g, -3063*r + 3061*r + 12 = 2*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 203 divide 217139493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53 = x + 54 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w + 4. Let f be r(4). Let k(g) = 3 + 3*g + g**2 + 2 - 4 - 2. What is the units digit of k(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -3*u. Let h(r) = 3*r. Let d be (-85)\/30 - 1\/6. Give d*y(k) - 4*h(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -k + o, 0*k + k = 5*o + 34. Let g = k + -12. Calculate the least common multiple of g and (-6)\/14 - 480\/(-42).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -9014*a - 71555. Calculate w(-8).\nAnswer: 557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-144)\/(-150)*(-605)\/968)\/(3\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1\/155 - 158\/465. What is the closest to 0 in -3, 1\/6, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 8 - 0 - ((2 - -3) + -4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 9*z. Let o(a) = 4*a - 15. Let t(p) = 20*p - 31. Let n(r) = -2*o(r) + t(r). Calculate l(n(q)).\nAnswer: 108*q - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(1\/2))**(44\/3))**(-41)*(x\/x**0*x)**(-38)\/((x**(-1)*x*x)\/(x*x\/(x\/(x\/x**(-2)))*x*x*x*x)) assuming x is positive.\nAnswer: x**(-1109\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -241*i - 11807. Calculate p(-49).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 120\/(-144)*(-9)\/5*1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 80 - 82. Suppose 3*w - 2*m = 9, w + 3*w = -5*m + 35. Suppose 3*p - w*p = 6. Which is the closest to -0.1?  (a) x  (b) -2\/3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 112 = u, -3*f - 4*u = 2*f - 280. Let g be (-4)\/14 + 128\/f. Which is the third smallest value?  (a) -5  (b) g  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3146742.31 rounded to the nearest 1000?\nAnswer: -3147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 0 + 0)*(-3*t**2 - 2*t**2 + 4*t**2) - 3 + 3 + 2*t**2 + (13 - 6*t - 13)*(0*t - 5*t + 2*t) to d*t**2 + b + c*t and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1001682 is divided by 1634?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 6) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 - 4*y + 5. Let k be i(5). Suppose -m - 15 = -k. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/(-16))\/(63\/108). What is the third biggest value in s, 5, -2\/17, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7763961 and 545.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 127405 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a factor of 272842736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -764, 81, 3, -4, -2, -7 in decreasing order.\nAnswer: 81, 3, -2, -4, -7, -764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -6b0a9 (base 12) in base 7?\nAnswer: -1135344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/115, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 207\/(-54) + (-1)\/6. Let s = 4 + t. Solve b + s*b = 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of s**4\/6 + 2*s**3\/3 + 7*s. Find p such that l(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1235, -4, -1, -75 in decreasing order.\nAnswer: 1235, 5, -1, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 0, -2*g - 3*g + 15 = -2*q. Suppose -g = 9*r - 6*r. Is (30\/(-12))\/(r\/6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-523 + 523 + 157*m)*(3*m - 5*m + m)*(0 + 0 + 5).\nAnswer: -785*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**8\/(x**(-20)\/x*x) assuming x is positive.\nAnswer: x**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 35*v. Let o(t) = 2*t. Let z(x) = -x. Let r(l) = -3*o(l) - 5*z(l). Give j(r(b)).\nAnswer: -35*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19.71 + -20. Let o = -4.71 + v. What is the second smallest value in 1, o, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(160\/(-24))*-10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 PM and 11:16 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.04 - 0.24. Which is the nearest to d?  (a) -1\/5  (b) 0.8  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/((1 + -4)*11\/(-33)). Suppose -q*n - 3 = -5*n - 5*o, 4*n + 5*o = 12. Suppose 9*f + n*f = 132. What is the remainder when f is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 824 = 647. Suppose -4 = -3*i + 5. Suppose -179 = -i*c - s. Calculate the greatest common factor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 514*o + 517*o = 0, -3*o = 5*u + 40 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -487*j - 173 - 487*j - 489*j + 1464*j - 98.\nAnswer: j - 271","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54343.\nAnswer: 31, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -130 (base 4) to base 10\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -8, -2, 1\/3 in ascending order.\nAnswer: -8, -3, -2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -2*c**2 - 447*c + 116222. Calculate j(154).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -3*r**2\/5 + 399*r\/5 - 13176\/5 = 0.\nAnswer: 61, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -66*f**3 + 1. Let o be s(1). Let p = -20 - o. Calculate the remainder when p is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6691755, -13383507, -20075257, -26767005, -33458751, -40150495, -46842237?\nAnswer: -53533977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19116 a multiple of 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2. Let y(c) = -2162*c**2. Give y(l(j)).\nAnswer: -2162*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 5*h - 10. Suppose 7*s + 633 = h*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -841.36 - -866. Let l = 0.36 + q. Let z = 27 - l. What is the third smallest value in 3\/5, z, -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 187, -2, -34, 6.\nAnswer: -34, -2, 6, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/17  (b) 2\/3  (c) -4\/3  (d) 49\/121  (e) -0.4  (f) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 561 is divided by 50.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 733424.1s in microseconds?\nAnswer: 733424100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5777206?\nAnswer: 2, 29, 99607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + -15*2\/(-6). Suppose -3*y + q*o + 3 = -7, -5 = 5*o. Solve -f + 20 = 4*f - 3*n, y*f = -2*n - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 5 - 10054*m - 6 + 10053*m. Suppose 0 = 6*o - 11*o - 5. Let j be o\/(1 + 0) - -4. Calculate k(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 20717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 360 = 5*x, 3*v - 6*v - x + 204 = 0. List the prime factors of v.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 7*v - 516. Suppose -24*y + v = -22*y. Let o = y - 46. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 81 + 120. Suppose -12*m = -t - 14*m + x, -3*t + m + 638 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/9 + 0)*-21. Suppose -3*s = -l*s. Solve s = -4*a + 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -433 - -421. Let g be s\/36 - (-4)\/4. What is the nearest to g in -2\/13, -2\/7, -1\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/((-35)\/(-6)))\/(-2)*((-44255)\/(-318))\/167.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11021121 - 11?\nAnswer: -11021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fsyssyyyyzvyy. Give prob of sequence vy.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -n - 18. Let o(g) = -13*g**2 + 2 + 9*g**2 - 1. Let d(v) = 26*v**2 - 47*v**2 + 16*v**2 + 1. Determine n*o(l) + 5*d(l).\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7300 divided by -3650?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1096004 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 538085.1g to milligrams.\nAnswer: 538085100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 6*z**2 - 11 + 4 - 4 + 11. Let c(a) = 21*a**2 + 4. Determine i(c(p)).\nAnswer: 2646*p**4 + 1008*p**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 26095900 to the nearest one hundred thousand.\nAnswer: 26100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 12*f - 17*f = -25, 0 = 4*f - 20. Solve x*r = -r + 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, 1\/6, -15.92, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - (-6 + -10)) + (7 + -5 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/6*2)\/(((7326\/(-37))\/22)\/(-303)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4303 (base 5) to base 16\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.239 - -0.239. What is the fourth smallest value in -1, -2, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.05 + 0.03. Let r = j - 0.0745. Round r to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*u - 43 - 17 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f + 3. Let x be m(-5). Let i be 175\/10 - x\/(-4). Solve -3*t = t - 2*p - 14, -4*t - p = -i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -268380 divided by -2\nAnswer: 134190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 PM and 10:51 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1382 divided by -1382?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 170*w - 2720. Give k(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3189894 or 3189904?\nAnswer: 3189894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 41*t + 177*t + 3*t - 2873 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/37 in -3\/28, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 40407323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 2, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2256494?\nAnswer: 2, 1128247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 191, -2\/9, -1, -0.138, 0.5 in decreasing order.\nAnswer: 191, 0.5, -0.138, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -14*w. Let d(x) = 5*x**2 - 4*x + 4. Let v(r) = 11*r**2 - 9*r + 9. Let h(l) = -9*d(l) + 4*v(l). Calculate h(p(o)).\nAnswer: -196*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 865272 to the power of 1\/2, to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3455 + -2315. Suppose 13*i = 9*i + u. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -3 - d**2 - 3*d**2 - d + d**3 - 4 - 3. What is the tens digit of h(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-80 - -40)*1*-50990. What is c rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1463*d**2*j*k - 6*d**2*j - 11052*d**2 + 3*d*j*k + 6*d*j + 15889*d + 7*j wrt d.\nAnswer: 2926*j*k - 12*j - 22104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -314*g + 280 = -274*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 47, 167, 363, 635, 983?\n\"Answer: 38*o**2 + 6*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -13 and 155481100.5.\nAnswer: 155481087.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rgrkkshooshosk. What is prob of sequence hkh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -453193, -906383, -1359571, -1812757, -2265941, -2719123, -3172303?\nAnswer: -3625481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 230322 - 333213?\nAnswer: -102231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 4*v = 2*s - 6, s = 3*v + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-198)\/(-28))\/(-9) + (-3)\/(-6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 1036*o + 7. Is k(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 422 + -429. What are the prime factors of b\/(-182)*4 - 9642\/(-26)?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 5 = -0*l + 3*r, 0 = 3*l - r - 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 6 = 3*q - 7*q + 2*c + 2, 13*q - 6*c + 9 - 3 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 23 + 3. Let p = v - 2. Suppose 5*l - 14 = 5*i - 44, -5*l = -2*i + p. Solve 3*g - a = i*a + 5, -4*g - 5 = 5*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 1002030322?\nAnswer: -1002030322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1032009398 to the power of 1\/3, to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (16 - 40 - 19) + 78\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pjw when three letters picked without replacement from {h: 4, j: 3, w: 4, z: 5, p: 1, u: 3}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -79562 or -2943772\/37?\nAnswer: -2943772\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 9 + -3 - -2 - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 146347864 and 11257528?\nAnswer: 146347864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 - 245*z**2 + 3509*z + 2470. Give r(16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -544 + 545. Sort 2, h, 22 in descending order.\nAnswer: 22, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gvvgclgclgglg. What is prob of sequence glv?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.0169 - 0.0169. Let b = 3 - 3.1. Sort b, m, 1\/5 in descending order.\nAnswer: m, 1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 <= -59314\/637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**2 - 2*q + 1. Let t(r) = -10*r**2 - 4*r + 7. What is -t(v) + 2*w(v)?\nAnswer: 12*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 - 17 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*d + 3*d + 5*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -80 - 28*o - 80 + 163 as z*o + f and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -312064583*d - 538493839 wrt d?\nAnswer: -312064583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15239\/44 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -277 - -307. What is the highest common divisor of s and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69 = 5*f + 4*t, -2*t = -2*f + t + 23. Calculate the remainder when f is divided by (-4)\/6*-3*14\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 3*o - 9 + 35 = 0, -1 = -2*j - o - 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*j + j + 0*j)*(-27*j + 16*j - 22*j) as z*j**2 + f + q*j and give z.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and 74459237?\nAnswer: 372296185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-1\/9)*(f*f**(-1\/6)\/f*f)\/f*f**(3\/4)*f*f**(-3)*f*f*f*f assuming f is positive.\nAnswer: f**(89\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.1, -29, -81, -0.2 in descending order.\nAnswer: 0.1, -0.2, -1, -29, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -2*b**3 - 29*b**2 - 12*b + 30. Let q be t(-14). Let y(f) be the first derivative of 5 + 4*f + 1\/3*f**3 - 3\/2*f**q. What is y(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -89300000 to the nearest 1000000.\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 824, 417, -274, -1255, -2532, -4111?\nAnswer: -5998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18146 and 3402797?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 4*y**2 + y + 20. Let n be a(-4). Let l = n - 78. Which is smaller: -0.3 or l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**5 - 2*n**5 + 2*n**5)*(-6 + 2 + 2)*(-29 + 57 - 29)*(4 - 2 - 1).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1101 + 534 - 2*m + 554 + 174*m**2.\nAnswer: 174*m**2 - 2*m - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 145 - 102. Suppose 3*l - 2*u + 34 = 0, -h = l - 5*u - 10. Let t(a) = -a**3 - 9*a**2 - 9*a - 6. What is the remainder when 7 is divided by t(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1058.104 micrograms in tonnes?\nAnswer: 0.000000001058104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -4*d. Let a(u) = 530*u + 7*u**2 + 11*u**2 + 482*u - 19*u**2 - 214*u. What is a(x(r))?\nAnswer: -16*r**2 - 3192*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of -p**4\/24 - p**3\/6 + p**2 - 3. Let d(m) be the second derivative of f(m). What is d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20208 and 24?\nAnswer: 20208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 10. Let s(z) = 2 + 7 + 2*z - z + f*z. Let b be s(-8). Solve y + 3 = b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2108225 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.3 + 0. Let f = k + -2.2. Let r = f - -2. What is the second biggest value in -3\/5, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (0 - -1) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.9 + -2. Let f(s) = -s**3 - 9*s**2 + 8*s - 18. Let x be f(-10). Which is the second smallest value?  (a) g  (b) 0.5  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 406  (b) -3  (c) -0.5  (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -251059, -503547, -756033, -1008517?\nAnswer: -1260999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -100 - -80. Let z be 32\/(t\/6 + 4). What is the highest common factor of 528 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 162 + -164. Let q be ((-1)\/f*0)\/2. Let w(s) = -s**2 - s - 8. Calculate w(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (26\/(-12))\/(-13)*3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (3602*1)\/(132\/30 - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -35772.\nAnswer: -178860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 8440164 to the power of 1\/2, to the nearest integer?\nAnswer: 2905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -1322*y**2 - 243246*y + 361. Determine i(-184).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, 10, 5 in ascending order.\nAnswer: -5, -4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the first derivative of -g**3\/3 - 5*g**2\/2 - 2*g + 5. What is k(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 3:57 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/248 and -13\/4?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -11*k. Let p be f(-5). Let d = -41 - 12. Let o = d + p. Solve -o*n = -7*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 234186443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3\/23, 28, -1\/45, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 5*d**2 + 2*d. Let j(l) = -l**3 - l**2 - l. What is 3*j(u) + v(u)?\nAnswer: -2*u**3 + 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 420 = -3*m - m, 2*n - 2 = 0. Let r be (2\/(-4))\/(m\/(-16) - -7). Calculate the remainder when (-264)\/(-18)*(r - -4) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p + 3*p - 4*p)*(3 - 2 + 1) + 1 - 1 - 2*p - 193*p - 3772*p + 732*p - 888*p.\nAnswer: -4119*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 3 = 7. Calculate the lowest common multiple of 22 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 b when three letters picked without replacement from {t: 11, b: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 3*s**2 + s**2 + s**2 + 3 - 2. Let l be y(1). What is the highest common divisor of l and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -122.72282 + 0.00217.\nAnswer: -122.72065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*d*j**4 + 6390*d*j**3 + d*j + 23*j**4 + j**3 + 239*j**2 - 872*j wrt j.\nAnswer: -48*d*j + 38340*d + 552*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 2*u - 13. Let s(k) = k - 6. Let t(h) = 6*p(h) - 13*s(h). Let q(r) = -74*r**2 - r. Determine t(q(i)).\nAnswer: 74*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 5036 divided by -1259\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 132112 < 132109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1527 - -1530. Sort -25, 1, 5, u in increasing order.\nAnswer: -25, 1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -425*a**3 + 17*a - 17. Let z(v) = -53*v**3 + 2*v - 2. Give 2*i(d) - 17*z(d).\nAnswer: 51*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1709*b**3*w**2 - 3003*w**2 wrt b?\nAnswer: 5127*b**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*w**3 - 502894*w + 1005791*w - 502897*w.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -14057 - -13?\nAnswer: -14044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -675017850 to the nearest 1000000.\nAnswer: -675000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**3 + 50023656*b**2 + 156397934999040*b + 312795669903488.\nAnswer: 4*(b + 2)*(b + 6252956)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2018*k + 17. Let b(f) = -673*f - 6. Let i(m) = 11*b(m) + 4*j(m). Is i(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4599 = 49*x + 18*x + 152*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b + b?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 65221289 to the nearest integer?\nAnswer: 8076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from brbpiib. What is prob of picking 1 p and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-16)\/(-36))\/(12\/54). Solve 3*o = 3*d + o + 2, -8 = -l*d - o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75*f**2 - 82*f**2 + 399*f**2 - 89*f**2 - 63*f**2.\nAnswer: 90*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times -0.078?\nAnswer: -0.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 160 - 60. Let t be (-1)\/4 - w\/(-16). Let h = t + -1. Solve -o - h*m = -6*o - 20, -4*o - 5*m + 11 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -102 - -108. Suppose -2*y + 3*c = -8, -y + 4 = -c + 3*c. Solve -p*m = -y*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1059 + 1052. Which is the closest to -2?  (a) -1  (b) u  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -63, -61, -57, -51, -43, -33, -21?\n\"Answer: k**2 - k - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1727, -3454, -5181?\nAnswer: -6908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 22370113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 45 = -k, -3*p + 4*p = 5*k + 29. Let c be (-6)\/(-21) - (-52)\/p. Suppose 0 = c*q - 17 - 35. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*v = 4*l - 23*v - 2684, -5*l = 3*v - 3355. Let k = l + -541. What is the highest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the first derivative of -5*b**2\/2 - 2*b - 7. Determine y(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 4 + 14 = 0. Let m be (40\/(-3))\/((-11)\/66). Suppose -9 - 11 = 5*z, -f*z + m = 2*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 4*h**2 - 110*h. Let s(x) be the second derivative of -7*x**3\/6 - 2476*x. Give s(p(j)).\nAnswer: -28*j**2 + 770*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2780, -0.02, -10, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2314 (base 6) to base 8.\nAnswer: -1046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/2 of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 65697883 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 5*t - 5. Let j be p(-6). Let i = -25 - j. Let v(x) = x**3 - 10*x**2 - x + 13. What is the remainder when 3 is divided by v(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-36)\/99 + 103\/11. Solve 4*k + f - 11 = 5*a, 0 = 3*a + 2*k + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*k**3 - 55*k**2 - 470*k - 400.\nAnswer: 5*(k - 8)*(k + 1)*(3*k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00049321823 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2 times 2280115\nAnswer: 4560230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 - 5*j**2 + 7*j - 5. Let g be o(4). Let w be (-58)\/7 - (-2)\/7. Let u = g + w. Let q(x) = x + 2. Calculate q(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -109830 (base 10) to base 13\nAnswer: -3acb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 5646228702 and 184?\nAnswer: 5646228518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 941906699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 4, -5, 22, 12, 1 in increasing order.\nAnswer: -5, -2, 1, 4, 12, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 3159*y**2 - 3101*y - 33. What is u(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 + 19.97. Let h = 0.03 + d. What is the closest to 0.1 in -3, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 2.961346 years?\nAnswer: 0.002961346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 92432\/9592 + (1 - 11 - -2)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((3080\/33)\/(-10))\/2*6\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aiu when three letters picked without replacement from niqianuu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 37\/5 of a centimeter?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 419 a factor of 37044628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-115)\/(-138) - (-3211)\/(-30)) + (-7)\/((-70)\/(-8))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 35452161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the first derivative of -25*l**6\/14 - 678*l**5\/35 + 57*l**4\/2 + 236*l**3\/7 - 723*l**2\/14 - 30*l\/7 + 1940. Let u(r) = 0. Calculate r.\nAnswer: -10, -1, -1\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 672173 - 464530. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 - 6*r**2 + 2*r + 2. Let v = -52 - -57. Give b(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 + 7*u**2 + 7*u + 11. Let m be t(-3). Which is smaller: m or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 173*u - 401 = 150*u + 220 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 6, f: 7}. Give prob of picking 2 y and 1 f.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 290\/9 + -296\/9. What is the closest to 2 in -0.4, 4, f, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*11264\nAnswer: 33792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 AM and 11:01 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001716572 to six decimal places.\nAnswer: -0.001717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1510484707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 6, e: 3, h: 2, v: 3, a: 1}. What is prob of picking 2 h and 2 x?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*q**2 + 3 - 3 + (3*q + 0*q - 2*q)*(7*q + 2*q - 3*q) + 4*q - 4*q - q**2 + (2*q**2 - q**2 + q**2)*(2 - 2 - 3) as k + g*q**2 + m*q and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/12 - (2 - 273\/90)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2565.5133 months in decades?\nAnswer: 21.3792775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + -17 + 0 - -5 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -14211, -28126, -42041?\n\"Answer: -13915*b - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 4*m. Suppose 0*l + 4 = 4*l. Let s be d(l). Suppose 60*h - 47*h - 427 = 74*h. Which is the smallest value?  (a) s  (b) -0.06  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -1\/5, -201, -1\/2, 242133?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*m + 20*m = 47*m + 44 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 196cc6 (base 13) in base 15?\nAnswer: caae4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 494 = -3*y - 486, -y = -4*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -16504782661.4 - -0.9\nAnswer: -16504782660.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 8) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.11 + 3.89. Let y = 73 - 2267\/31. Let u = 55\/186 + y. Which is the nearest to 0?  (a) u  (b) 0.5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 - 4*v**2 - 15*v + 21. Let h be q(6). Let d be (-23)\/2*3*4\/h. Let b = -44 - d. Solve 12 = b*m + 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 5 - 4. Let m(w) = 19*w**2 - 3 + 1 - w + 0. Is 6 a factor of m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the second derivative of -1\/5*h**5 - 11\/2*h**2 + 0*h**3 + 0*h**4 + 0 - 4*h. Differentiate y(f) wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 180943 is divided by 13624.\nAnswer: 3831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**9)\/(g\/g**9)*g**(-17)*g**(-4) assuming g is positive.\nAnswer: g**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 285 and 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {p: 5, q: 8}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {o: 1, s: 2, i: 1, c: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 114900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**2 + 8*c. Let u be y(4). What is the greatest common factor of 128 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18, 9, -22, -87, -198?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 0*o - 4*x = 16, -4*x = o - 16. Suppose 6*c = o*c - 4. Find the second derivative of -c*w**3 - w**3 - 7*w - 165*w**2 + 165*w**2 wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 2:51 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 - 6.939. Let l = f + -1.26275. Let u = -1.2 - l. Round u to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 355 - 2?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 83 = 4*y, 24 = 3*d + 4*y - 21. Suppose -2*t = d + 41. Let c = -16 - t. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**3 - 20*o**2 + 99*o - 15. Give k(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 39*q**4*t**3 - 6*q**4*t**2 - 4*q**2*t**3 + 159*q*t**3 wrt q.\nAnswer: 936*q*t**3 - 144*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 15) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 257717.\nAnswer: 257717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24 + 31. Solve 2*q - 2*h = 4, 0*q = -q + 4*h - k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.2 and -5411087.\nAnswer: -5411086.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -146 + 286. What is h rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 705.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, q: 4, w: 4, p: 4}. Give prob of picking 2 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 13849829377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 0.2  (c) 5  (d) -4  (e) 649\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -43 - -47. Solve -5*u = -x*u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 4*s**3 - 2*s - 1. Let l be i(2). Let q be 2 + l*(-204)\/(-1). Let u = q + -3709. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 AM and 3:21 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-3\/2)*a**1\/a)\/((a\/(a**(1\/9)\/a))\/((((a*a**(7\/5))\/a)\/a)\/a)) assuming a is positive.\nAnswer: a**(1\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1215 and 79167.\nAnswer: 32062635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 395 is divided by 68?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -149 + 107 + 193*r + 42 + (-2 + 3 - 3)*(-4 - r + 4) + r + 5*r - 4*r + 0*r - r - r to the form x*r + p and give x.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 14, 0.3, -4 in descending order.\nAnswer: 14, 3, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/14*598\/(-897).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -229 + 187060.\nAnswer: 186831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -18, -18, 6, 66, 174, 342, 582, 906?\n\"Answer: 2*y**3 - 14*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 2*b - 2, -16 = 3*c - 0*c - b. Let i(d) = 138*d**2 + 13 + 3*d - 130*d**2 + 6*d. Is i(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -103, -109, -115?\n\"Answer: -6*u - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003826558954 to four dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*k**3*r + 6*k**3 - 5*k**2 - 43*r wrt k.\nAnswer: 6*k**2*r + 18*k**2 - 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - -35532246?\nAnswer: 35532250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -59*d - 53*d + 7*d**2 + 20*d - 22*d**4 + 24*d**4 + d**2 in the form m + a*d**3 + f*d + o*d**2 + r*d**4 and give f.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*n + 43*n - 84*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2102978 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: 6\/150*-1*7\/2*6\/7\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - -1. Let u(t) be the third derivative of -t**5\/60 - t**4\/8 + 5*t**3\/6 + t**2. What is the units digit of u(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccfzccuzii. What is prob of sequence zf?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 94484 and 736.\nAnswer: 755872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(204)*2 + sqrt(204)) - (3*sqrt(204)*5 + sqrt(204) + sqrt(204)))\/(-3*(sqrt(12) + sqrt(84)\/(-1*sqrt(7)) - -1*2*sqrt(12))).\nAnswer: 29*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -30*g + 23*g + 1806. Let k = -244 + g. Solve -s - 11 = -k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -76*z**2 + 16*z - 14. What is n(1)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8576363 weeks in nanoseconds?\nAnswer: 518698434240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 5344161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2834*r - 2. Let w(h) = 4*h**2. What is d(w(o))?\nAnswer: 11336*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/9*0)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -51 and 1.2.\nAnswer: -49.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 5*u - 9, 5*f = 4*u - 20. Let g be (4\/6)\/(4\/(-6)) + f. Let h(x) = -8*x**3 - x**2 - 2*x - 1. Give h(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.979438 kilograms to milligrams.\nAnswer: 4979438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -255 + -328. Let u be (-12)\/(-22) - (-1484)\/o. Let q(t) = -2*t + 1. Let x(c) be the second derivative of c**2\/2 + c. Calculate u*x(l) + q(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 225678\/390 + (-1)\/5. Let i = j - 600053\/1040. Find the common denominator of i and -109\/50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -154.6538125 rounded to the nearest integer?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 555193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the third derivative of a**5\/60 - a**4\/12 + a**3\/3 - 5*a**2. Let z = 2 - -1. Is 3 a factor of k(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2013370133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88477 is divided by 560?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c. Let a = -8 - -11. Suppose -3*v = -4*p + a - 1, -3*p - 3*v + 12 = 0. Let k(b) = 3*b**2 + p*b + b - 3*b. Determine k(n(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8099, -8068, -8037, -8006, -7975?\nAnswer: -7944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11680692822 - 3*w + 0*w - w - w + 11680692822.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.8 - 0.7. Let x = -0.1 - d. Which is the biggest value?  (a) x  (b) -3  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -374 divided by 374\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19*l*n**2*w**3 + l*n*s*w**2 - n**2*s*w**3 - 2*n**2 + 2*n*s*w**2 + 31*s*w + w**3 wrt n?\nAnswer: -38*l*w**3 - 2*s*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-4460)\/5)\/(((-4)\/(-2))\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 100861721*d**3 + 163461*d**2 - 2*d + 26?\nAnswer: 605170326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 128.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6*((-25)\/(-10) - 2). Let q(n) = -188*n + 1. Let k be q(-1). Suppose -48 = -u*d + k. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13430362 + -25434883. Suppose -1331865 = d + 5662656. Let k = h - d. Round k to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1023a - -47?\nAnswer: 10283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 8889 divided by 1?\nAnswer: 8889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55128362?\nAnswer: 2, 29, 761, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.6 + -1.4. Let p be 3\/(1 - -2)*-1. What is the closest to p in 1\/5, a, 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 828 and 1188.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 + 7*y + 4. Let w(b) = -b**3 - 3*b**2. Let g be w(-4). Let t = g - 25. Is r(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-318)\/(-8)*((-440)\/60 + 10). Calculate the greatest common factor of 8 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80600*k**3 + 42182*k**3 + 38379*k**3.\nAnswer: -39*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 - 11. Suppose 0 = m - 0*m + 1. Let w = m + x. Sort -3, 1, w.\nAnswer: -3, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 273*a**2 - 1168*a - 8122. Calculate j(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 98937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange c**4 - 1974 + 2019 - c**3 + 0*c**3 to q*c + r + a*c**3 + p*c**4 + w*c**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes after 2:45 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 33389964 and 63?\nAnswer: 233729748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29 - 27. Let f be -2 - (-2 + -30)\/g. Suppose v = -d + 11, 2*d + f = -v + 3*v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*q - 877 = 40*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -11, 3, -598, -45.\nAnswer: -598, -45, -11, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -12*k**4 + 5417307*k**3 - 611395575078*k**2 - 1069961555628*k + 305702527704 = 0. Calculate k.\nAnswer: -2, 1\/4, 225722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 PM and 8:03 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 25103*v**3 - v**2 - 5*v + 24. Let r be x(9). Suppose 3*d + r = 3*p, 0 = 5*d - 2*p - 962757 + 31462747. What is d rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 501 a factor of 2081862414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5834441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.7129 + 0.0659. Let m = d - -0.62. Let o = -2.973 + m. Which is the nearest to 0.1?  (a) -0.5  (b) o  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7596621?\nAnswer: 3, 844069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -736643812 - 5?\nAnswer: -736643817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 357*a + 434*a = -1626*a + 198194 for a.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2*(-6)\/((-60)\/(-25)). Let i(p) = 2*p**2 + 4*p - 5. Does 39 divide i(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (17\/(-51))\/((-3)\/36). Let n(z) = -2*z**3 - z - 1. Let k be n(-1). Put -5, -41, k, x in increasing order.\nAnswer: -41, -5, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 122314, -1\/15, 2 in increasing order.\nAnswer: -1\/15, 2, 122314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 912 and 28?\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -385 - -433. Suppose -20 = -n*h + 38*h. Solve -b - h*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes before 12:14 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8291055 to the power of 1\/2, to the nearest integer?\nAnswer: 2879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/18*(-160)\/(-200).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -84.31147 take away -4.9688?\nAnswer: -79.34267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 40 - 7. What is the lowest common multiple of 22 and (-8)\/44 + 666\/a?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10 - 6 - 5 - 35*i**2 + i**3 to c*i + l*i**2 + m*i**3 + v and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 2*z**2 - 3*z - 4. Let o be n(4). Suppose 4*s + o = s + 2*r, 0 = -3*s - 5*r + 19. What is the common denominator of (-154)\/(-8) - (0 + s) and 33\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/4)\/((-1)\/(-10)). Let f(x) = 4*x + 9. Let n be f(-3). Put -1, n, v in ascending order.\nAnswer: n, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29.18185ms to microseconds.\nAnswer: 29181.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1907 and -0.03.\nAnswer: -57.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -5, 27 = b + 4*b + 2*g. Suppose -2*d + 22 = 2*l - 6, b*d + 26 = 3*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*s - s + 3*s)*(52*s + 7*s + 28*s)*(-4*s**2 - 2*s**2 + 3*s**2) to v + o*s**2 + m*s**4 + z*s + i*s**3 and give m.\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 37 + 43 + -116 + -29 + 67\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 7, -2805, 16, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*r = -26 - 4. Suppose 5*i + 15 = 0, -101 = -r*j - 2*j + 3*i. Let t = j - -28. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 6*x - 75. Calculate s(16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 + 2)*4\/(-6). Suppose 0 = 11*g + 34*g - 360. Let t be z\/g - 798\/(-24). Calculate the highest common factor of t and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 1\/151, 1, 2\/17, 0.2 in decreasing order.\nAnswer: 1, 0.2, 2\/17, 1\/151, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 79591590 to the nearest ten thousand.\nAnswer: 79590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 5*o = 4, 120*y = 116*y - 5*o - 53 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 301938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18137?\nAnswer: 7, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**0)\/(a\/(a**(-1\/2)*a)))**42 assuming a is positive.\nAnswer: a**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1366748011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express o**4 - 1 - 2*o**2 + 2*o**3 + 4*o**3 + 0*o**3 + 0*o**3 in the form i*o**4 + x + j*o**3 + s*o + w*o**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gogo when four letters picked without replacement from gggggggggoggggggogg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3551?  (a) -44  (b) 5\/3  (c) -4  (d) -4\/5  (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 + 4*a**2 - 2*a + 1. Suppose -8*f = -3*f - 15. Let c be z(f). Solve 5 - c = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -134*m - 22. Let u be f(-7). Suppose -31*v + 27*v = -u. What are the prime factors of v?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 101 + -97. Solve -6*j = -5*j - w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28398470?\nAnswer: 2, 5, 59, 127, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -255*z + 14079 = 1051*z + 1300*z - 116221 for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*r - 0*o - 5*o, 3*r + 4*o - 14 = 0. Which is the nearest to 1?  (a) r  (b) -2\/9  (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -4  (b) -7  (c) 6  (d) -3  (e) 55\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 5*v**2 - 2*v - 3. Suppose 0 = 12*q - 14*q + 6. Let i(w) = 11*w**2 - 5*w - 7. What is q*i(b) - 7*h(b)?\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 8 = -4*b, -4*d + b = -0*b - 20. Let l be (1 - 5) + (9 - (d - 4)). Find the third derivative of 6*m**3 - 26*m**2 + 29*m**3 - 6*m**l wrt m.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -50784*k + 50766*k - 144 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10505 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 - 4*q**2 + 23*q + 6. Give s(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 170689.\nAnswer: 170689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w**4 + 222*w**3 - 3960*w**2 = 0. Calculate w.\nAnswer: 0, 30, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 344924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13631*j - 13631*j + 634*j**2)*(-3 - 6 + 0).\nAnswer: -5706*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001415 to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-21)\/70 + 36\/(-120) - (-28)\/30\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 6*h + 27. List the prime factors of b(5).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, 2, 0.07, -1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 4, -80, 5, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7*3*8\/84. Solve -15 = -5*t + s*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*w - 151 + 65 = -73. Solve 5*j + 2*s = w, 14*s + 2 = -5*j + 13*s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*(0 + -1 + 468). Suppose 78*k + 2160 = 88*k. Let n = c - k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47496*d + 135401*d + 101524*d.\nAnswer: 189429*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 11, 3, 1, -935625 in ascending order.\nAnswer: -935625, -5, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 8 = -4. Solve -l*s + 15 = -7*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + -20101323?\nAnswer: -20101331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*k + 48*k = 35*k + 78 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from crr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 118 - 113. Solve -c*b = 5*p - 40, 3 = 4*p - 3*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 46 (base 10) to base 4\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 21250 - 4?\nAnswer: 21242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30 and 14634771.\nAnswer: 146347710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9971 - 3*a**3 + a**3 + 4*a**3 + 9970 + 0*a**2 - 23*a**2 to the form p*a**2 + o + t*a**3 + h*a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 105*w**2 - 27. Let b(t) = 8*t**2 - 2. Let o(k) = -27*b(k) + 2*d(k). Let h(s) = 0*s**2 + 0*s**2 + 2*s**2. Give o(h(f)).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes before 7:23 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2\/5))**(-33))**(-12\/19) assuming z is positive.\nAnswer: z**(-792\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 = 5*u - 3*t, -u + 5*t = t - 2. Let f = u + -20. List the prime factors of f*((-45)\/6)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3131032*c**3 - 58*c**2 - 32036455*c?\nAnswer: 18786192*c - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25.6 + -7.5. Let f = r - -33. What is the closest to f in 0, -1\/38, -0.5?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*w**3 + 2*w - 5*w**3 + 89*w**2 - 92*w**2 to the form s*w**2 + r*w + z + q*w**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -7 - -3 - (-1698)\/378. Let h = l + 1\/126. Do h and -26 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l - 3. Suppose -13 = -5*d - 2*h, 3*d + h - 10 = -2. Let q(p) = 6 + 7*p + d + 3*p + 7. Let b(w) = 11*f(w) + 2*q(w). Calculate b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2130, 4451, 6808, 9219, 11702, 14275, 16956?\n\"Answer: 3*n**3 + 2300*n - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11224\/1472 - (4 + -4)) + 2 + -11?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13408260 (base 9) to base 11.\nAnswer: -38113a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-8) + 1\/(264\/(-81)). What is the closest to 2\/3 in -7, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-4) + (-151)\/604 + (-130)\/36?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-132)\/48)\/(0 - (-4)\/(-800))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of -v**3\/6 + 3*v**2\/2 + v. Let h(p) = p**4 - p + 5. Let b(w) = 6*h(w) - 10*l(w). What is the second derivative of b(r) wrt r?\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -52611.148 rounded to the nearest ten?\nAnswer: -52610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 91296397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + u = -35, 25*f + 4*u - 13448 = -13894 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -2*m**3 + 23*m**2 + 14*m - 20. Let h be i(12). Solve t + 5*a = -5, 0 = -2*a - 6 + h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4\/2)\/2 + 1. Let q(m) = m**2 + 2 - 7 + d. Calculate q(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*u**2 - 47302*u + 47302*u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -132.598002 + 3\nAnswer: -129.598002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 25 = 0, -2*k + 18 = 39*s - 35*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2022, 2074, 2138, 2220, 2326, 2462, 2634, 2848?\n\"Answer: f**3 + 45*f + 1976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18 - -4. Let k = -9 - i. Solve -4*v = 3*a - k - 5, 2*a = -5*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 8) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21665, -21664, -21663, -21662, -21661?\nAnswer: -21660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21989 - (-25 + (13 - -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -2*h - 6 + 22*h + 19. Let a(z) = 39*z + 26. Let y(l) = 4*a(l) - 9*d(l). Find the first derivative of y(m) wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kek. Give prob of sequence ke.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 + 5*l**2 - 4*l. Let m(u) = -u**3 + 4*u**2 + 7*u - 7. Let o be m(5). Let x be r(o). Solve 2*h = -s + x, h = s - 0*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20 + 101002211122?\nAnswer: 101002211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes before 6:07 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.072191 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -17, -31, -33, -17, 23, 93?\n\"Answer: p**3 - 21*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(195)\/(sqrt(55)\/(sqrt(22)\/sqrt(2))))\/((sqrt(21) + (3*sqrt(1701) + sqrt(1701) - sqrt(1701)) + sqrt(21))\/sqrt(7)).\nAnswer: sqrt(13)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -23 - 2*k**2 + 2*k**3 - 7 - 2*k - 122 + 39 in the form u*k + b*k**2 + p + l*k**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.6, 1, 2304671 in increasing order.\nAnswer: -0.6, 1, 2304671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -6*v**2 - 7*v + 7. Let h(z) = -z + 28. Let l be h(35). Let r be 0 + 2 - (-3 + 3). Let a(t) = -2*t**2 - 2*t + 2. Give l*a(m) + r*j(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -13, -56, -171, -394, -761, -1308?\n\"Answer: -6*c**3 - c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the third derivative of -i**5\/60 + 3*i**4\/4 + 7*i**3\/3 - 23*i**2. Let t be q(18). Suppose t*b = 2*b + 468. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (230 - 226 - (1 - (0 + -2))) + 25 + -53?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1828)\/(-6))\/(8\/(-12)). Let g = q - -4117\/9. Let m = 78 + -73. Which is the third biggest value?  (a) -2  (b) m  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31079.88 litres in millilitres?\nAnswer: 31079880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 + 9. What is the remainder when 45 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 5*k - 9. Let b(m) = -m**2 + 23*m - 22. Let w be b(1). Suppose 2*x - 6 = -4*f + f, -3*x = w. Give a(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 461, 1552, 3363, 5888, 9121, 13056, 17687, 23008?\nAnswer: 29013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5)\/(-20) + 54\/8. Suppose -2*l + k*l - 120 = 0. Suppose 3396 - 414 = 71*b. Calculate the remainder when b is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1864717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (30\/(-9))\/((-4)\/(-3) - 2). Let w = p + -3. Solve 0*m - 3*s = -4*m - 12, w*m - 16 = -4*s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -50 + 94. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-2))\/(1\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 11.48, -5\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7466*k*m**3*q + 4*k*m**2 + 48*k - m**2*q - 2*m**2 - q wrt m.\nAnswer: 44796*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 29114601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 170 + 166 = -12*b. Is 4\/(-14) + -4 + (-1002436)\/b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 366138.\nAnswer: 2, 3, 20341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(50) + (1*sqrt(4050) - sqrt(50)) - sqrt(50)) + 2*(sqrt(50) + (sqrt(50) - sqrt(150)\/sqrt(3))))\/(3*4*5*(sqrt(40)\/sqrt(4) + sqrt(10))).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 18 = -d, -4*d - 372 + 335 = -3*i for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 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 f(s) = s**2 - 1. Let r be f(-1). Suppose -4*t = 5*x - 1258, -2*x - 3*x - t + 1267 = r. Suppose -4*o - 5*k + 0*k + 220 = 0, -k + x = 5*o. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-5*sqrt(11) + sqrt(66)\/(sqrt(36)\/sqrt(6)))**2.\nAnswer: 3971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 446228 and 2779?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 157*n**3 - 329*n**3 + 10*n**2 + 166*n**3 + 2*n to the form t*n**3 + u*n**2 + b*n + l and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 350 = 5*x, 3*s + 7*x - 3*x = 993. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 - c - 7. Let x be f(-5). Let t = x + -34. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8393628549.\nAnswer: 3, 73, 38327071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 3 = -15. Suppose c + 10 = 3*c. Suppose -c*f + 104 = -2*x, -f - x = h*f - 91. What is the lowest common multiple of f and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 13, d: 1, k: 5, j: 1}. Give prob of picking 2 k.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u + u + u + (-1 - 2 + 5)*(2*u + 4*u - 4*u))*(-4 - 2 + 1)*(-10510*u + 3337*u + 4050*u).\nAnswer: 93690*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of -13*g**4\/8 - 7*g**3\/6 + 18*g**2. Let m(v) = v - 13. Let q be m(9). Is r(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u - 11*u + 52. Let r = -53\/4 + 253\/20. What is the nearest to 2 in 3, u, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 278 - 260. Let f = -3 - -11. Suppose 2*x = -2*x + f. Solve 4*u + 0*u - l = -w, -2*u + 5*w - x = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 6:44 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = 124*z - 119*z - 3, -4*z + 3*u + 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 13 - 24 = 0. Let c = r + -15. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/4 + (-470)\/(-20). Let h = i - 29. Sort 5, 3, h, -3 in increasing order.\nAnswer: h, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -321004101 - -4?\nAnswer: -321004042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 2*r - 39866, 5*r - 57933 = -4*v + 41744. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 30*x**4 + 21*x**3 - 81*x**2 + 21*x + 9. Let s(q) = 3*q**4 + 2*q**3 - 8*q**2 + 2*q + 1. Let o(k) = 2*b(k) - 21*s(k). Solve o(n) = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*v**2*y**2 + 83149*v**2 + 3*v - 670233*y**2 with respect to y.\nAnswer: -4*v**2*y - 1340466*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1279444 - -0.0487652\nAnswer: 1279444.0487652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from {l: 2, c: 2, f: 1, z: 2, m: 4, e: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 + 2*x - 2. Suppose -3*g + 3*a - 9 = 2*a, 2*a - 12 = 4*g. Let v be t(g). What is the tens digit of v\/((-9)\/30)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 62\/6 - (-2)\/(-6). Let j = t + -7. Suppose -j*i = -3*u - 55 - 35, -4*u - 145 = -5*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-4))\/((-1*(-6)\/(-72))\/(2432\/1064)).\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-11)\/4 - -2)\/(25\/(-200900)*7). What is the greatest common divisor of 6519 and o?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.7 in 222, 0.3, -2\/15, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xux when three letters picked without replacement from {u: 4, n: 6, x: 3}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(1\/3)*a)\/(a\/((a*a**10)\/a)*a)*(a\/a**(-2))**(-27) assuming a is positive.\nAnswer: a**(-212\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + -15 + 23 + -14 + 18.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 3*h**2 + 2*h - 2. Let m be s(-2). Let u be 9\/m + 3\/(-6). Suppose -4*t = 3*n + u, -3*n = -t + 2*t - 2. Which is greater: n or -1\/10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**3 + 4 - 4)*(-v + 1 - 1) - 16*v**3 + v**4 - 5*v**2 + 10*v**3 - 6*v**4.\nAnswer: -4*v**4 - 6*v**3 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 707648*x**2 - 3020075.\nAnswer: 1415296*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 25*t - 40. What is the hundreds digit of x(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - 34 - 46. What is the tens digit of (-204)\/d + (-2)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1106783992478 - 1106783992478 + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 5249886 divided by -246\nAnswer: -21341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 446 - 12 = -62*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24*(-22)\/132*(-8)\/(-12).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 128 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(77) - sqrt(77)*4) + sqrt(77))*-2)\/(sqrt(1375)\/sqrt(5) - (sqrt(11) - sqrt(55)\/sqrt(5)*6)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffhh when four letters picked without replacement from {h: 2, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cscscccccc. What is prob of sequence cc?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44919.\nAnswer: 3, 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 67*b - 462.\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 divided by 20673197.\nAnswer: -32\/20673197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 428 = w + 2*h, 0 = -w - h - 2*h + 431. Let p = w + -182. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -a5 (base 14) in base 12?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/60987 and 106\/105.\nAnswer: 2134545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (69\/30*-2)\/(4690\/46900).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1539 - 577. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 297431 is divided by 43.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 2*g - 4*o, -4*g - g = -o + 26 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/682 and -97\/1302?\nAnswer: 14322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -15480?\nAnswer: 1\/15480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (0 + 2\/5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84 = 12*m + 352*a - 346*a, 5*a = m + 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1)\/v)\/v)**43\/(v\/(v*v**(2\/5)\/v))**32 assuming v is positive.\nAnswer: v**(-741\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1184 - -1202. Solve -4*j - 2 - w = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.3, -593, -1\/5, -9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15851, 31692, 47533, 63374, 79215, 95056?\nAnswer: 110897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -12 - (-1 + (1 - 0) - (-56 + 55))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 124 + 679. Suppose -183*z = -182*z - u. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/1 - (-13 + 408\/36)\/(8\/(-24))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (-208)\/28 - -3.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 139205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*p = -14*p + 52. Let q be (p - -2 - (-45)\/21) + 2. Factor 12\/7 + 15\/7*t**3 + 9\/7*t**2 - q*t.\nAnswer: 3*(t - 1)*(t + 2)*(5*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -172\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.11748324 to four decimal places.\nAnswer: -1.1175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 50, 17, -40, -121, -226?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-2) - -18 - 0. Does 5 divide 279\/b - 2\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 22 = -h, -448*h + 453*h = -2*q + 86. Suppose -27 - 228 = -5*m. Calculate the remainder when m is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, u: 1, q: 1, t: 1, d: 1}. Give prob of picking 1 t and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -221, -208, -191, -164, -121, -56, 37, 164?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 1 = -4*w. Let t = 0.03 + 12.97. Let k = 13.2 - t. Which is the third biggest value?  (a) k  (b) 0.5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -147 - -149. Let j be (2\/2)\/(a\/14). Solve 5*b = j + 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 44914 and 4029?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*q = 15*q - 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -42419 + 0?\nAnswer: -42419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the third derivative of q**6\/120 + q**5\/15 + q**4\/12 + 4*q**3\/3 + 3*q**2. Let y be g(-4). Solve y*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s**3 + 4*s**3 - s**3)*(-43 - 47 + 91) + (s**2 + 0*s**2 - 2*s**2)*(s - s + 8*s).\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -111486490 and -0.2.\nAnswer: 22297298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 702301914 divided by -39016773\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 - 10\/3)*0. Suppose 2*i + m + 2 = q, 6 + 2 = -2*m. What is the units digit of i\/2 - 171\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -8*h - 421. Let p(q) = 8*q + 422. Let a(w) = -3*m(w) - 2*p(w). Is a(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 50 + -352\/7. Let v(q) = -5*q**2 + q**3 + 7*q**2 + 2*q**2 + 4*q - 2*q**2 + 3. Let m be v(-2). What is the closest to 2\/3 in n, 1\/4, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 6, j: 4}. What is prob of sequence jjj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 k when three letters picked without replacement from {r: 1, v: 1, e: 2, s: 2, k: 1, d: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 + 24*a**2 + 12*a - 37. What are the prime factors of y(24)?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1294 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -19 - 7694*s + 20 + 7692*s - 3*s**2 + s**4 - 4*s**3 in the form l*s**4 + w*s**2 + q*s**3 + y + n*s and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + (2*sqrt(68))**2*-1)*-6 + ((sqrt(102) + -1*sqrt(102) - sqrt(102) - sqrt(102))*5)\/(sqrt(6) - sqrt(24)\/sqrt(4)*5).\nAnswer: -19*sqrt(17)\/2 + 1632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61234008.\nAnswer: 2, 3, 11, 231947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -823 = -x + 4438. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -26 + 31. Suppose 5*f - 1010 = -q*f. Calculate the remainder when f is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 13\/(-6)*20\/110*-1. Do w and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -75, -350, -961, -2046, -3743, -6190, -9525?\nAnswer: -13886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17 - 15 + 4*z - 146*z**2 - 60*z**2.\nAnswer: -206*z**2 + 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 1. Let w(o) = -o - 13. Let n(g) = 4*m(g) - w(g). Let f be n(-10). Suppose -3*i - 2*i = t - f, -2*i = -2. Solve -t*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.1 + 0.9. Let i be 102*(-4)\/(-32)*2. Let a = 253\/10 - i. Put y, a, 0.4 in descending order.\nAnswer: y, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 + -13.6. Let r = 5 - 2. Which is the third smallest value?  (a) r  (b) d  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4617 + -4620. What is the second smallest value in 3, b, 1\/3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4216464 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190)*3*-6 + sqrt(190))\/(-4*sqrt(10)*-3).\nAnswer: -17*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4442, 2.9, 5 in ascending order.\nAnswer: 3\/4442, 2.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -17*g**2. Let x(f) be the second derivative of 4*f**3\/3 - 6*f - 5. What is x(c(o))?\nAnswer: -136*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 + 7*d**2 - 11*d - 5. Give a(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*1*1*4*sqrt(90)\/sqrt(5))**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 m when three letters picked without replacement from hmhmmmphphhp.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, -113, 1.3363, 5?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 13  (b) -3  (c) -4\/273\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 278052?\nAnswer: 2, 3, 17, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, 4, 34, 3, 0, -1\/20, 2\/5 in decreasing order.\nAnswer: 34, 4, 3, 1\/2, 2\/5, 0, -1\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 1 + 1)*(-2099 - 1622 + 5408 + 2589 + 7298).\nAnswer: 11574*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one halves of a tonne in kilograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1316)\/141*(150\/35)\/(-5). Solve 0 = 4*m + 4*i + 16, r*i - 3*i + 20 = 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 998*q**2 + 706*q**2 - 64*q**2 - 387*q**2. Let b(f) = 2*f. Calculate t(b(j)).\nAnswer: 5012*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -2*p**2 - p + 1. Let u be y(-1). Let v(g) = u - 42*g + 41*g + 2*g**3 - 1. Calculate the remainder when 36 is divided by v(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68421.94 micrograms to tonnes.\nAnswer: 0.00000006842194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-1\/5))**(5\/9))**(2\/195)\/(((r\/(r\/r**(1\/4)))\/r)**(7\/4)\/(r**6\/r**(-8))) assuming r is positive.\nAnswer: r**(429943\/28080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22 and 407?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -135, -2, -33, 30, 18, 5 in decreasing order.\nAnswer: 30, 18, 5, -2, -33, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -39 + 1 + 35 - 28?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3023, -3017, -3011, -3005, -2999, -2993?\n\"Answer: 6*g - 3029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of -d**5\/20 + 5*d**4\/4 - 25*d**3\/2 + 4*d**2. Factor q(z).\nAnswer: -3*(z - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/3, -1\/8, 0.2, 486, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 86 in 1\/4, 1\/14, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13234*y + 12251*y - 23604*y.\nAnswer: 1881*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 2*q + 12. Let d be c(-6). Let x be (1 - -1540)\/(2 - d). Let m = x + -792. Calculate the common denominator of 101\/14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 128559 and 129041 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (62\/4)\/(3\/(-6)). What is the tens digit of (-30)\/(-20) + z\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7 - 3*g**4 + 7 + (-g**2 - g + g)*(-17*g**2 + 12*g**2 + 154*g**2).\nAnswer: -152*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 342968 = 4*k, -90*r + 171494 = 2*k - 93*r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00613 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85 + 968*f - 968*f + 2*f**2.\nAnswer: 2*f**2 - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -21334109915 + 1301.\nAnswer: -21334108614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((54\/(-15))\/6)\/((-18)\/12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 1:06 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4*h - 36 = 0, 76 + 38 = -4*f - h. Is 14\/f - (-1389)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jo when two letters picked without replacement from joooj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2386701285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ieiieieeieiie?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/21)\/((-3)\/(-21))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 644164?\nAnswer: 2, 17, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from yyypynxnnnx.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = -t - 9, -5*l - t = 18 - 25 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 82987, 165999, 249021, 332059, 415119, 498207, 581329?\nAnswer: 664491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*g**2 - 68 - 73 + 214 - 72.\nAnswer: -19*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.06 - 5.06. Let x = r - -10. Let l = x - 4.9. Which is the nearest to l?  (a) -0.4  (b) -2  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.59908443 rounded to 1 dp?\nAnswer: 32.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/44)\/(7\/28).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**4 - 477491*v**3 - 75998581695*v**2 - 4031902083850425*v + 16128824343268500.\nAnswer: -(v - 4)*(v + 159165)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 10 = -0*x, -5*c + 5*x + 10 = 0. Suppose c = -2*d - 14*d + 160. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88235071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -243, -3, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-186*o**4 + 78*o**4 + 274*o**4)*(1 - 4 + 5).\nAnswer: 332*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*s + s + 0*s + 2*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/9414 and 16\/135.\nAnswer: 141210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -518205 by 103641.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -9*a - 368. Let d = a + 108. Suppose d*v + 5100 = 21*v. Round v to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2253549654.\nAnswer: 2, 3, 163, 503, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 48.6 less than 0.0584?\nAnswer: -48.5416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6395551, 12791078, 19186605, 25582132, 31977659?\nAnswer: 38373186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**4 - 3*n**3 + 2*n**2 + 6*n - 2. Let o(l) = -l**4 - 3*l**3 + 3*l**2 + 7*l - 3. Let d(r) = -3*j(r) + 2*o(r). Solve d(s) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5683*q - 2 + 5681*q - 2 + 4.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 12, -5*i - 5*q + q = -29. Sort 2, 7, i in decreasing order.\nAnswer: i, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0098189887 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 39*h + 3 - 8)*(-1 - 2 + 1) to the form u*h + i and give u.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**2 + 10848*h + 7354944.\nAnswer: 4*(h + 1356)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 2949 and 2950 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 17505, 35007, 52509, 70011, 87513, 105015?\n\"Answer: 17502*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -18.08 + 43.08. Sort 2\/59, z, 4 in decreasing order.\nAnswer: z, 4, 2\/59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 152 divided by 38\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}