diff --git "a/data/dm_maths/full_data_2/1399_11255.jsonl" "b/data/dm_maths/full_data_2/1399_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1399_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let d(q) = -q**3 + 8*q**2 + 13*q - 13. Calculate the remainder when 135 is divided by d(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -777455 - 154*o + 777455 in the form g + x*o and give x.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -10715)\/(204\/4828) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(4 - 5) - 1. Let a(i) = 5*i + 33. Let h be a(x). What are the prime factors of ((h - -2) + 36)*2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -59, -5, 1 in descending order.\nAnswer: 2, 1, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 4*b - 13, -15 = 5*y - 40*b + 44*b for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14768, 28600, 42420, 56222, 70000, 83748, 97460, 111130?\n\"Answer: -j**3 + 13839*j + 930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b + 1\/3*b**3 + 0 + 0*b**2 + 1\/3*b**4.\nAnswer: b**3*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2611 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 272*c**4 - 135 + 18*c**2 - 1156*c - 22*c**2 + 269 - 134 wrt c.\nAnswer: 3264*c**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -23. Let a = g - -5. Let m = a + 16.2. Which is greater: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 142554*c**2 + 71621*c + 172.\nAnswer: (2*c + 1)*(71277*c + 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 5*a + 0*a)*(0 + 0 - 2) - 86*a - 4*a + 6*a + 2 - 2 + a + (-a - a + 0*a)*(0 + 0 - 1) - 1 - a + 1 + 35*a + 13*a - 63*a.\nAnswer: -99*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + 23. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2 - 33850*u - 135432 = 0.\nAnswer: -4, 16929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 134\/(-14) + (-6)\/(-21). Let d = h - -67\/7. Let x = -2 - -3. Which is smaller: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3845.632 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2007\/111937?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**6\/3 + 11*h**2\/2 + 8*h. Differentiate n(v) with respect to v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-1))\/(52*53\/5512)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000110101001001011 (base 2) in base 10?\nAnswer: 551499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306037, -612043, -918049, -1224055, -1530061?\nAnswer: -1836067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 930161*t**2. Let a(i) = 3*i**2. Determine a(h(s)).\nAnswer: 2595598457763*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 29. Let w = p - 16. Let z = -22.4 - w. Round z to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10426)\/(-13070) + 1*((-912)\/60)\/19. Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2)*(17 - 17 - 19*r**2) in the form q + z*r**2 + v*r and give z.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3. Let z be j(-1). Let x be (-4 - -4)\/(-1 - z). Suppose -2*m + x*m + 28 = 0. Calculate the highest common divisor of 98 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10790435*o**3 + 3*o**2 + 11472*o - 43 wrt o.\nAnswer: -64742610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.8, 2, -0.015, -2?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 2. Let b be x(6). Let m(z) be the third derivative of 10*z**2 + 0*z - 1\/60*z**5 - 5\/12*z**4 + 0 + 2\/3*z**3. Determine m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-14)*49\/7. Let d = 21 - 16. Let g = 17 - 14. Solve z*x = 2*t + 14, -t - g*t - 16 = -d*x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -1561046, -22?\nAnswer: -1561046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6)*8\/1*-2. Let t be 1\/(n\/8) - -10. Solve -i - t = -12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -45. Let v = g + -14. Let n = -0.17 - -0.2. What is the smallest value in v, n, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-52)\/(-8) + 9\/6. Solve -5*v = 2 + i, 5 = 5*u + 5*v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m = -17*m + 95 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -9. Suppose r = v - 0. Suppose v*o + 21 = 5*o. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - l + 3. Let g(k) = k**2 - 14*k - 13. Calculate -g(n) - 4*r(n).\nAnswer: -5*n**2 + 18*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b + 12. Let g(u) = 11*u + 35. Let p(v) = -8*c(v) + 3*g(v). Let z be p(-2). Suppose -z*r + 5*r = -48. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.6 less than -4?\nAnswer: -148.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 969*t + 1 - 1 - 1105*t.\nAnswer: -136*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, p: 5}. Give prob of picking 2 p.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*m = 950*m + 1022*m - 53691 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-3) - 210\/42.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16966560 and 1.2.\nAnswer: 20359872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*z - 1. Let m be 103\/7 + z\/14. What is the units digit of (0 + m)*(-1)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 106*c**2 + 297*c - 1236. Let t be i(-103). Solve t = 40*u - 182 + 22 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w + 3. Let x be y(0). Suppose -i - 3*i - 4*o = -156, -3*o + 78 = 2*i. Suppose 0*n = -3*n + 3*g + i, g = x*n - 41. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 12, 29, 54, 87?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.297956299 to 1 dp.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 307*g + 613. Calculate the smallest common multiple of 3 and m(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 873\/2 (b) 2 (c) 4 (d) -3\/11 (e) -26 (f) 0.2 (g) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -356 + 356.2. Sort 0, p, -2\/467, -0.2 in decreasing order.\nAnswer: p, 0, -2\/467, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-14))\/(15\/(-20)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*j = -26, 0 = 5*l + 24*j - 19*j - 15. Solve 0 = 2*c - 4, -9 = -m - 0*m - l*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52811 (base 9) to base 10\nAnswer: 34921","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-27)*-9)\/((-1)\/(-81)). Suppose -3*n + 4*g + 624 = 0, 5*g + 154 = n - q. What is the greatest common factor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1.03. Let g = l - 0.17. What is the biggest value in -1\/6, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:11 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18412 - 485?\nAnswer: 17927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = k - q + 8, 0 = 374*k - 369*k - 3*q + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*a**5 - 68*a**4 - 1570*a**3 + 8320*a**2 - 13384*a + 6688 = 0. What is a?\nAnswer: -11, 1, 2, 76\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 34 - 8 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 7 - (-858 - -26). Let a = j + -822. Solve 0 = -10*c + a*c + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 9, 5*z = 2*z + 2*k - 18. Let i be (-96)\/(-5) + z\/40. Let q = i + -13. Which is greater: 5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0, -13\/6, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 45535.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 * 1.5\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -4*l**3\/3 - 7492*l**2 - 14032516*l - 630. Factor p(b).\nAnswer: -4*(b + 1873)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u - 9*u - 8*u)*(3 + 4 - 18).\nAnswer: 319*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-60)*-3)\/(((-11)\/(-55))\/(3\/(-9)))\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -24*d**3 + 8*d**2 - 8*d + 6. Let i(j) = -8*j**3 + 3*j**2 - 3*j + 2. Determine 8*i(z) - 3*o(z).\nAnswer: 8*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**2 - 3*d + 1. Let a be m(-3). Let b be (a\/8)\/((-3)\/12). Let q = b - 9. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16146 (base 7) to base 12.\nAnswer: 2766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:26 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1000291.78.\nAnswer: -500145.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: c620a (base 13) to base 11\nAnswer: 223735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2 - 28119.\nAnswer: -28117.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 741 + -701 + -42 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 = -3*v, -90*o + 86*o = 5*v - 13. What is the biggest value in o, 0.14, -6\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 4:23 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -1, -14, 3 in descending order.\nAnswer: 19, 3, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -234 + 375. Calculate the remainder when s is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8719874 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1628.5 - -1629. Which is the nearest to -0.1? (a) 1 (b) g (c) 0.3 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from {d: 1, f: 7, w: 2}.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306 a factor of 439774954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*k + 1568 = -163*k. Which is greater: -391 or k?\nAnswer: -391","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13831 = 30*o - 46291. Calculate the remainder when o is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/241842?\nAnswer: 1\/241842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55.896 - 0.104. Let s = f + 55. Which is the second smallest value? (a) s (b) 4\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20797023\/7 bigger than -2971002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, p: 2, f: 1}. What is prob of sequence gg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k = 53*k + 38580. Let x = k + 14847. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29628 by -7407.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**3 + 2150*o**2 - 15295*o = 0.\nAnswer: -437, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5249, 5250, 5253, 5258, 5265, 5274?\nAnswer: 5285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01796 rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4983448*n - 4982982*n + 38212 for n.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*z + a, -5*z - 8*a = -22 - 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -4377651.\nAnswer: 1\/1459217","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oovokuouvmuomue. Give prob of picking 2 m and 1 u.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2 + 17. Suppose 2*s + b*l - 85 = 0, -3*s - 4*l = -4*s + 59. What is the remainder when s is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwwn when four letters picked without replacement from {w: 10, n: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 + -122. Let r = h + 51.031. Round r to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1950)\/1300*12\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + -18. Let k = -19 - f. Is k less than or equal to 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/7 + 116*h**2\/7 - 432*h\/7.\nAnswer: -2*h*(h - 54)*(h - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3 + z**2 + 7*z - z**3 - 9*z**2 - 7. Suppose -11 = 4*r - 5*o, -3*o = 3*r - 107 + 149. Determine u(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**6\/180 + a**5\/30 + a**3\/6 + 5*a. Let g(l) be the second derivative of t(l). Factor g(o).\nAnswer: -2*o*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -806, -791, -748, -665, -530, -331, -56, 307?\n\"Answer: 2*x**3 + 2*x**2 - 5*x - 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13223*t**5 - 2*t**4 + t**3 + 37*t**2 + 60*t wrt t?\nAnswer: 793380*t**2 - 48*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1621*d + 140400 = -1304*d for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2)\/f*f**(-3))**5*f**6*f*f*f**4*((f*f**(-1\/2))\/f)**17 assuming f is positive.\nAnswer: f**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + 2 - (-112 - -108)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/8 and 101\/4384?\nAnswer: 4384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -72*a**3 - 5328*a**2 + 21*a + 1545. Determine k(-74).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 118, 219, 318, 415, 510, 603?\n\"Answer: -w**2 + 104*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 150320635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -7. Let r = -428 + 431. Let l = -0.071 + 2.071. Which is the second smallest value? (a) r (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**3 + z**2 + z + 3. Let s(h) = h**3 + 2*h**2 + 3*h - 1. Let n(x) = i(x) - 4*s(x). Give n(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -7*u**3\/6 + 21*u**2 + 1931*u. Determine o(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5928)\/390*((-13)\/((-130)\/(-30)))\/((-9)\/(-15))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -427 + 427. Suppose 3*j - 18*b = -15*b + 4074, o = -2*j + 4*b + 2710. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 4*j + 1. Let d be (3\/(-2))\/((-4)\/8). Let l = -1 - d. Let y(g) = -g**2 + 5*g + 1. Calculate l*y(h) + 5*p(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -16 - 12)\/(2\/4). Suppose -z*t + 26711 = -3023. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -11. Let r be c\/2 + (-1)\/2. Factor -1\/4 - 1\/4*h**4 - r*h**2 - h**3 - h.\nAnswer: -(h + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and 28.\nAnswer: -39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + 3733282\/119 - (-2)\/(-17). What is j rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 13. What is the smallest common multiple of t(9) and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 200*y - 207*y + 5*u - 27, -5*y = u + 33 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-104)\/(-234) - 3549\/27. Let i = 148 + f. Solve -22 = -y - i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 172 + -86 - 127\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + (-2 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q - 3*q = -340. Let h be (q\/(-6))\/(35\/(-42)). Which is the fourth biggest value? (a) 3 (b) 1.2 (c) h (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20872409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001536 to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1937400 to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + 413?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-34) + 0 + 16884\/(-162877). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.306 - -14205542691?\nAnswer: 14205542657.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529815451?\nAnswer: 11, 31, 1553711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -a + 84525, -3*a - 84537 = 2*c - 4*c. What are the prime factors of c?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1598 - 408 = 170*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**4\/24 + 2*f**2. Let y be p(0). Solve 2*k + 4 + y = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 754 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qum when three letters picked without replacement from {f: 2, q: 1, u: 1, z: 3, i: 1, m: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*k, 3*k + 2*q - 28 = 6*q. Put 1, k, -3, 39 in decreasing order.\nAnswer: 39, k, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18002045.\nAnswer: 5, 3600409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5765341 - -9640341. Round t to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16047?\nAnswer: 3, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101*o**3 + 15*o**2 - 5*o wrt o.\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 6691?\nAnswer: -6690.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**3 + 7*j - 7. Let w(x) = 2*x**3 - 3*x + 3. Let o be 128\/9 - 18\/81. Give o*w(m) + 6*v(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(7\/(-3)))\/(-78 + 83). Is 1 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 5:16 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 316 - 316 - 3*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2. Let x(j) = -j**2 + 2*j - 12. Let d(m) = -59*m**2 - 6*m + 37. Let h(o) = d(o) + 3*x(o). Calculate t(h(k)).\nAnswer: 15376*k**4 - 496*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 - -2.723084249\nAnswer: 2.863084249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 5*i - 2. Let u(y) = 5*y**2 + 2*y + 1. Let l be (-4)\/(-8) - (-3)\/(-2). Let h be u(l). Calculate m(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.08 (b) 1 (c) 0.37 (d) -3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 9*q - 5. Let y(g) = -8*g**2 - 15*g + 67*g - 25*g - 18 + 2*g**3 - 18*g. Let j be y(3). Give h(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 8*x**2 - x + 8. Let w be i(8). Suppose 2*q - 69 = -3*g, -5*g - q = -w - 115. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -46265 and 245.\nAnswer: -11334925","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/151 + -815\/1963. Which is the smallest value? (a) 0.5 (b) -1 (c) 5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:04 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -2*n - x + 13, -x - 7 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, m: 10}. Give prob of sequence mmk.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -4 - -1) + -3. Let v(h) = -11*h - 5. Let j be v(b). Let k = j - 5. What is the remainder when 46 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -16*n + 1. Let g(l) = -16*l + 1. Let u(t) = 4*g(t) - 5*i(t). Is u(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 16*q - 4. Let g = 64.041 + -64. Let l = g - 17.041. Put q, l, 0.1, 2\/3 in increasing order.\nAnswer: l, q, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*j + 9 = -190, 2*f = -j + 126. Calculate the remainder when 119 - (-8 + 3)\/5 is divided by f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 14*b + 48 - 16*b)*(11 - 11 + 3*b).\nAnswer: -6*b**2 + 246*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 381*g**5\/5 - 2*g**3\/3 - 269*g**2\/2 + 12. Find the third derivative of w(c) wrt c.\nAnswer: 9144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 r when four letters picked without replacement from {r: 9, e: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4 - 3186*w**3 - 1299780*w**2 - 205089624*w - 11284107408 = 0. What is w?\nAnswer: -1071, -174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -12*n**6 - 5*n**2 + 6*n + 6. Let q(g) = g**2 + g + 1. Let u(l) = m(l) - 6*q(l). Find the third derivative of u(x) wrt x.\nAnswer: -1440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, j: 7, x: 2}. Give prob of picking 1 p and 2 x.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/28*56\/(-6). Let b be (6\/9)\/(2\/6). Suppose -b*z = -0*z - d. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5170740 or -5170741?\nAnswer: -5170740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7)*q*q*q*q*q**(-5\/2)*q)**28*(((q*q\/(q**(-1)*q*q)*q)\/q)\/q*q**(-1\/4))**(-4\/7) assuming q is positive.\nAnswer: q**(435\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**4\/21 - 4*m**2\/7 - 16*m\/21 - 2\/7 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-110310)\/36)\/(-5)*6. Suppose 4*v + 1851 = 6*v + 3*n, -n + b = 4*v. Does 34 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -169*b**4 + 6*b**2 - 657*b - 6. Let q(p) = -169*p**4 + 5*p**2 - 656*p - 5. Let c(m) = 6*q(m) - 5*z(m). Find the second derivative of c(x) wrt x.\nAnswer: -2028*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.247435974 rounded to 5 decimal places?\nAnswer: -0.24744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -659*j = -679*j + 160. What is the remainder when 951 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**8\/196 + 13*x**7\/490 + 3*x**6\/56 + x**5\/20 + x**4\/56 + x**2 + 51*x. Factor g(a).\nAnswer: 3*a*(a + 1)**3*(4*a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 165?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.2, 951, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1379*m + 12257. What is a(9)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 104001.\nAnswer: 936009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 - ((10 - -5 - 12) + -3)) + 10?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/2*n**2 - 32 - 1\/4*n**3 - 8*n = 0. What is n?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 - 19*l**2 + 33*l - 1. Let a(q) = -2*q**3 - 9*q**2 + 16*q - 1. Let k(n) = 5*a(n) - 2*d(n). Solve k(s) = 0.\nAnswer: -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/19)\/(6\/(-249)). Let h = b - 2453\/114. Find the common denominator of 32\/(-132)*45\/4 and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v + 4*v - 16 = -13 - 101 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8144 and 32.\nAnswer: 16288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (5 - -1) + -6 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*r + 16, r + r - 1 = p. Suppose -p*c = -6*c + 12, 0 = 3*i + 5*c - 1151. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7015444409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3225, 3226, 3227, 3228?\nAnswer: 3229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -32*t**3 - 546*t**2 - 173*t - 2403. What is f(-17)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 11:20 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 331486205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 6 - 0) + 3 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3, -2.12, 0, -0.4 in descending order.\nAnswer: 3, 0, -0.3, -0.4, -2.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(7) + -2 - sqrt(448)*1)**2 + (6*(1 + sqrt(175)) - sqrt(175)) + (sqrt(175) + 1*sqrt(175) + -1)**2.\nAnswer: 29*sqrt(7) + 961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 1. Let o(t) = 10*t + 11. What is o(q) - 5*w(q)?\nAnswer: 5*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2501 + 2500. Is -1.721 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from bnebssggbboess?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 307*v**3 + 5*v**2 - 4*v - 1. List the prime factors of r(1).\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 27. Suppose -3*v = 4*n - 5, -43 = -f*v - 0*n + 2*n. Let u = 235 - 158. Calculate the greatest common factor of u and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -3\/192696277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 789359 (base 11) to base 10.\nAnswer: 1256891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16260*t = -2269*t + 2259046 - 440216 for t.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpn when three letters picked without replacement from kppnvkhkkn?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -41835*q - 1171385. What is l(-28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((2684\/132)\/((-12)\/9))\/(7\/28)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53 - 5*j**5 - 2*j**6 - j**5 - 323*j**2 + j**5 + 4*j**4 + 3*j**6 - 2*j + 54 wrt j?\nAnswer: 120*j**3 - 300*j**2 + 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1330144 (base 5) to base 8\nAnswer: -64454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2767 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/22101 and 62\/5565?\nAnswer: 773535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7415088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25080 or -24957?\nAnswer: -25080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvzm when four letters picked without replacement from {m: 1, b: 3, z: 1, l: 2, v: 4, j: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47386028?\nAnswer: 2, 53, 83, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -134, -640, -1474, -2630, -4102, -5884, -7970?\n\"Answer: q**3 - 170*q**2 - 3*q + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -17. Let y = 29 - q. Put 5, 0, y, 1 in ascending order.\nAnswer: 0, 1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*y - 1495*y - 62560 = 1561*y - 532*y for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**2 + 1756515 + 520*s - 1756515 + 2*s**3 - 193*s to p*s + o*s**3 + h*s**2 + l and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u + 10, 4*x - 4*u - 13324 = 0. Is x a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 560\/(-224) + ((-3)\/12)\/(1\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1366*j**3 + 189*j + 2673*j**3 - 1308*j**3.\nAnswer: -j**3 + 189*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, e: 2, b: 1, f: 1, a: 2, v: 2}. Give prob of picking 1 f and 1 a.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 8, 21\/2, -0.4, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**3 - 2*h**2 - h - 2. Suppose -3*g = -5*n - 5, -n = -6*n - 4*g + 30. Suppose n*m = -m - 6. What are the prime factors of u(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171566, 171521, 171436, 171305, 171122, 170881, 170576?\nAnswer: 170201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9372.442, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 11 = 1. Let s(i) = i**3 + 6*i**2 + 2*i + 8. What is s(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 25\/2 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 31*d + 465. Let y be x(-11). What is the greatest common factor of y and 806?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2617*t + 941*t - 1534*t)*(-2 + 5 - 4).\nAnswer: 3210*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7334 not equal to 1547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 242440*c - 15499776.\nAnswer: -4*(c + 64)*(c + 60546)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*u + 0*u - 5*u)*(-9*u + 7*u + 10*u).\nAnswer: 56*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*v**5 + 1480*v**4 + 13676*v**3 - 29624*v**2 - 9856*v + 4096 = 0. What is v?\nAnswer: -32, -16, -1\/2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 76. Let c(i) = -1 + 0 + 8*i**2 - 2*i**2. Let k be c(1). Calculate the greatest common factor of k and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t - 228 = -0*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 1)\/4 - -2522 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + s + 22 = 0, -3094 = -2*r - 4*s - 3092 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(924\/665) - 2*3 and -24\/77?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-4 - -3) - (-32 - -26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 5*s + 7. Let u be f(-4). Suppose -u*j + 4*g + 2819 = 0, 2*j + g - 2769 + 897 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/21 and (((-1)\/(-7))\/((-2)\/16))\/(-18)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388154 is divided by 1213?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 415, 784, 1151, 1516, 1879, 2240, 2599?\nAnswer: 2956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2424 (base 5) to base 9\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63541 is divided by 748?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*r + 104 = -r, -4*u - 100 = 4*r. Let g = u + 22. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*n = 20, a - 3 = n. Let t be 8\/12*(a - 8). Is -6 != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b - 4. Let w be q(-10). Suppose 1 = -3*t + w. Solve -8 = t*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 53.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/6 (b) 0 (c) -0.1 (d) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 49629846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**5\/4 - 2*v**4 + 5*v**3 - v**2\/2 - 19*v\/4 + 5\/2 = 0?\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 13*j**2 - 28*j + 4. Calculate o(11).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - -2 - (-2)\/2. Let d be 5\/(-2)*l\/(-5). Calculate the remainder when 68 is divided by 40\/(2\/1) + d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 0.5 (c) 91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 31 + 2*x - 42 - 51 + 31.\nAnswer: 2*x - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1712191409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**3\/3 + 39*x**2. Let o(v) = v + 5. Determine -2*o(i) + 5*w(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/7))**(2\/7)*(b**0)**10 assuming b is positive.\nAnswer: b**(10\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -32940?\nAnswer: 32941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.6605um to millimeters.\nAnswer: 0.0776605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -t + 4*s, 0 = 11514*t - 11510*t - s + 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.589 and -11327?\nAnswer: -29325.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 709, 2389, 5671, 11089, 19177, 30469, 45499?\nAnswer: 64801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23062 + 23064. Factor 8*y + 16\/5*y**m + 5.\nAnswer: (4*y + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -29360787 and 0.4.\nAnswer: -29360786.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 22*b**2 - 2*b + 6*b - 8*b**2 - 18*b**2 - 107.\nAnswer: -2*b**2 + 4*b - 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -84100*w**4 - 273073280*w**3 - 547692261*w**2 - 3767447*w - 6490 = 0. Calculate w.\nAnswer: -3245, -2, -1\/290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d. Let b(i) = -442*i**2. Determine b(l(f)).\nAnswer: -1768*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011000010011 - 1100?\nAnswer: -11011000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 570945131 to the power of 1\/2, to the nearest integer?\nAnswer: 23894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6574\/153625?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 21*m. Let a(p) = 339 - 339 + 14*p**2. Determine z(a(b)).\nAnswer: 294*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21e + -4329?\nAnswer: -410a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -85933.\nAnswer: -85933.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*k + 10361, 3*n + 8290 = 7*n + 2*k. Suppose n = 2*x - 5*o, 2*x + 2*o = -x + 3135. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*x + 206*x + 24 = -5*v, x - 5*v = 21 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/26 + (-24136)\/(-52). Let r = m - 3763\/8. Calculate the common denominator of -20\/9 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.45 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 3, -0.4, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66298, -66348, -66398, -66448, -66498, -66548?\nAnswer: -66598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -103235 (base 6) to base 13\nAnswer: -3b54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4096 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 13 = -3*f, 2*f - 5 + 15 = g. Let b be 1122\/f - (-4)\/14. Let l be (26250\/(-3))\/(2\/b). Round l to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/7)*u*u)\/(u*u\/(((u**(-2\/25)\/u)\/u)\/u*u)*u)*u\/u**(6\/17)*u\/(u*u\/u**11))**(-30) assuming u is positive.\nAnswer: u**(-155472\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 + 83 + (-127 - -163)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-900)\/(-460)) + ((-20)\/45)\/2.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w + 7 - 7. Let a(d) = d. Calculate j(a(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 2\/5*h**5 + 2\/21*h**7 - 2*h**2 - 13*h + 2\/5*h**6 + 1 - 2*h**3 - 2\/3*h**4. Find z, given that y(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -340254.\nAnswer: -1701270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 14*i**2 + 7*i - 29. Calculate u(14).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 382, 572?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c + 19. Let h be t(4). Suppose h*a - 4901 = 6684. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f. Let v(s) = 60*s - 245. Let p(z) = 5*z - 21. Let q(h) = 35*p(h) - 3*v(h). Determine q(c(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 7\/2*b**6 + 0*b + 0*b**3 + 0*b**5 - 27*b**2 + 0*b**4 + 43. What is the second derivative of j(c) wrt c?\nAnswer: 420*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2. Let d(c) = 8*c**2. Let x(w) = 5*d(w) + 14*z(w). Suppose q - 3 = 4*t, 9 = t - 3*t + 3*q. Let i(u) = u + u + t*u. Determine x(i(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -17.2. Let d = -0.7 + 0.2. Let m = d - -2.5. Which is the closest to l? (a) m (b) 0.5 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323*o + 35*o + 13801824 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 5*k + 5. Let x = -14 - -9. Let m be f(x). Suppose -m*y + 22 = 4*a, 4 = 3*y + a - 5. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 105580 or 8657479\/82?\nAnswer: 105580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (163 + 16*o - 163)*(0 - 2 - 1)*(23*o**2 + 27 - 15 - 12) to the form p*o + b*o**3 + d + q*o**2 and give b.\nAnswer: -1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*h*m**2*q - 7*h*m**2 - h*m - 12*h - 193488*m**2*q - m**2 - 43 with respect to q.\nAnswer: 17*h*m**2 - 193488*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -4 (c) -2\/5 (d) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 204031, 409853, 615673, 821491, 1027307, 1233121?\n\"Answer: -s**2 + 205825*s - 1793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 2. Let b be i(4). Is 0\/(b + 1) + 34 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g**3 - 2*g**2 + 2*g - 3. What is the tens digit of y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 1. Let n(k) = -5*k - 339. Give n(i) + 4*x(i).\nAnswer: 3*i - 343","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61 + 78 - 48*i**4 + 33 wrt i.\nAnswer: -192*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*y**4 - 140*y + 140*y)*(-1 - 3 + 6) + (-2*y**2 - 4*y + 4*y)*(-y**2 - 2 + 2) to n*y + h*y**4 + l*y**3 + j*y**2 + k and give h.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/14 and 37\/(-1140)*-4 - (-82)\/(-861).\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20463600 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 50 - 2. Let d be (-29)\/(-24) + b\/(-9). Put d, 0.1, -5 in descending order.\nAnswer: 0.1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5))**(16\/7)\/((g\/g**2)\/g*g)**(-8\/3))**(-1\/13) assuming g is positive.\nAnswer: g**(184\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6046.471 millennia in months?\nAnswer: 72557652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -568*k + 8547. Give d(16).\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2222 - 1191. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 4*m + 0*m + (4830*m - 1896*m + 4147*m)*(1 + 4 - 4) in the form g*m + b and give g.\nAnswer: 7083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4876 (base 13) in base 16?\nAnswer: -27fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeu when three letters picked without replacement from euueuueeuu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 5*y + 4*b, -5*y + b + 0*b - 60 = 0 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4015189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -185 - -193. Let u be (4 - 28\/v) + 6\/4. Let -1\/9*i**3 + 2\/9*i**u + 1\/9*i - 2\/9 = 0. Calculate i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*w - 31679 - 12420. Suppose 10*p - 3319 - w = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2*10*4\/(-24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/12 - 285\/198.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y. Let n be s(3). Let w be ((-3912)\/44)\/n + 2\/11. Which is bigger: 41\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6256 divided by 1564\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265299908.\nAnswer: 2, 541, 122597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010011110 (base 2) in base 4?\nAnswer: -202132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 9 = z, -3*c - 2*c + z - 15 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -39\/5, -3\/7, -2\/21, -2\/5, 7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*(1 + -3). Let g be (-2 + 1)*(1 - -8). Let x = i - g. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + r**2 + 52 - 32 - 1159*r.\nAnswer: r**2 - 1159*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -399 in -3, 3, 133, -4, -2, 0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) -0.8 (c) 81 (d) 4 (e) 362\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/3 in 0, -0.05, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*3\/(-15)*(-4 + (-51)\/(-9)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - sqrt(104)\/(sqrt(8) + sqrt(128)) - (sqrt(13) - (sqrt(52) + -2)).\nAnswer: -2 + 9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)*n**7)**(-4) assuming n is positive.\nAnswer: n**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 - 8*b**2 + 3*b + 3. Let s(x) = -5*x**3 + 24*x**2 - 8*x - 8. Let p(u) = 8*c(u) + 3*s(u). What is the third derivative of p(k) wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258126079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492454107 a multiple of 1528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 969 divided by -115?\nAnswer: -969\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -121.\nAnswer: 4\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 2, 1, 3, -41 in decreasing order.\nAnswer: 5, 3, 2, 1, 0, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4)**(-1\/17)\/((g*(g*g**5)\/g)\/(g*g**1)) assuming g is positive.\nAnswer: g**(-72\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*((-21)\/6 - -2). Is (-300)\/l - 5\/15 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v**2 + 53*v - 7. Suppose -x + 46 - 40 = 0. What are the prime factors of u(x)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.54 (b) -9\/5 (c) 2\/5 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17572 - -19000. What is the smallest common multiple of 289 and f?\nAnswer: 24276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/35 and 33\/7400?\nAnswer: 51800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4428118?\nAnswer: 2, 331, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/1)\/((-4)\/12). Let p be (o + (-795)\/6)\/((-1)\/4). Let f be p\/14 + ((-40)\/35)\/(-4). Calculate the highest common divisor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**3 + 5*i**3 + 2*i**4)*(64*i - 284*i + 141*i) - 3*i**4 + 3*i**4 - 2*i**5.\nAnswer: -160*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h - 11. Let x be y(-5). Suppose -2*f - 24 = -4*f - r, x*r = -3*f + 46. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 45 = -42 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Suppose -4*s + 9*s = -20. Let h = 9 + -11. Put h, g, s in ascending order.\nAnswer: s, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4.03. Let v = 3.03 + z. Let y = v + -3. Is -2 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/21248 and -137\/12.\nAnswer: 63744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1189549 is divided by 345.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 + 3. Let p = -46 - -51. Let c(l) = l**3 - 4*l**2 - 5*l - 2. Let v be c(p). What is the smallest value in 5, v, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15\/(-25)*(-5)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w**2 + 0*w)*(-2*w + 3 - 3) + (2*w**2 + 4*w**2 - 5*w**2)*(-w - 2 + 2).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.93 - 3. Let v = g + 4.07. Let q = -35\/72 + 1\/9. What is the biggest value in -0.4, v, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18015 + 27406. What are the prime factors of b?\nAnswer: 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/8, 4.\nAnswer: -4, 1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10298260180 and -0.9203.\nAnswer: 10298260179.0797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123398 is divided by 299.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6830 + 707 + 6*b**2 + 808.\nAnswer: 6*b**2 - 5315","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 39. Let m be (-3 + r - -1)*12\/2. Solve -m*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11921320967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 12*b - 9. Let x(a) = -17*a. Let y(d) = 34*d. Let l(o) = 5*x(o) + 2*y(o). What is l(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 130 = 9*d. Suppose -1 = -2*a + 5, -3*a - 6 = -3*r. Calculate the highest common divisor of d and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*((-1 + 3 + 2)*(4 - 2*l - 4) - 56 - 56*l + 56 + 5*l - 3*l + 3*l).\nAnswer: -118*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + g + 2)*(93*g - 192*g + 12*g**3 + 92*g) as n*g**2 + c + d*g**4 + j*g**3 + a*g and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2824 + -0.4824. Which is the nearest to -2? (a) -1 (b) 3\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -93769, -0.1, 19, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*v + 18, 2*x + 6 = -5*v - 3. Let q(u) = u**2 - 3*u - 3. Let c be q(x). Let w be ((-2)\/c)\/(8\/3). Which is smaller: -0.2 or w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (263 - 659 + 699)*(0*u - 2*u - u).\nAnswer: -909*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 436081, 436310, 436689, 437218?\nAnswer: 437897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, m: 2, f: 2}. Give prob of picking 1 u, 1 m, and 2 f.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62\/15 - 24\/5. Let b = -44\/39 + -29\/78. Put i, b, 2\/5 in increasing order.\nAnswer: b, i, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 1 + 2*i**3 + 2 - 3*i**3 - 18*i + 4 - 11*i**2. Determine m(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 - 4*g**2\/3 - g\/3 + 4\/3.\nAnswer: (g - 4)*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 3*l + 3. Let s be d(3). Suppose -13*u + 33 = -32. Suppose u*r = -4*j + s*r + 12, 4*j + 3*r - 12 = 0. Solve -3*i - 2 = 1, -1 = 2*p + j*i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.92 - -3. Which is the nearest to 0? (a) -2\/3 (b) -0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*d**2 - 2*d + 39*d**2 - 10*d**2 in the form m*d**2 + x + f*d and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -55029.16 to the nearest 10.\nAnswer: -55030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 3, j: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooh. What is prob of picking 1 h and 1 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/20*-6*30\/9. Suppose -45 = -b*s - 15. Let q(o) = 2 - 2*o - 1 + 4 + o**2 - s. Give q(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-85) - (-9272)\/204. Let h = w - 44. Let u = -5 - 0. What is the closest to 0 in h, -3, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 290, 301, 326, 371, 442, 545, 686, 871?\n\"Answer: i**3 + i**2 + i + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 10*t + 232 - 212. Let c(s) be the first derivative of 0*s**t - 24*s - 17\/3*s**3 - 21. Differentiate c(v) with respect to v.\nAnswer: -34*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 7*v + 20)*(-38 + 11 - 55) + (-v + 2*v - 2*v)*(0 + 1 + 1).\nAnswer: -576*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 + -2 - (7 - 9)) - 11\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 2*k**2 - 6*k**2 + (k + k - 3*k)*(-1 + 1 - k) + (0 + 0 - k)*(-5*k + 2*k + 7*k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/1*-2 + -4. Let d = i - -6. What is the second derivative of 2*k - 6*k**d + 0*k**4 + 2*k**4 + 0*k**4 wrt k?\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 42303062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 0.03 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*z = 104109 - 455133 - 173445. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q. Suppose -3*f = 3*f. Let k(i) be the third derivative of 0*i + 1\/30*i**5 - 2*i**2 + f + 0*i**3 + 0*i**4. Calculate k(d(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 36 - 37*i + 12*i + 16*i. What is the units digit of c(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + b + 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 16463*w**2 + 44*w - 145. Is v(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 855, 1706, 2559, 3414, 4271, 5130, 5991?\n\"Answer: l**2 + 848*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28570, 57433, 86296, 115159, 144022, 172885?\nAnswer: 201748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-11)\/(-5) + -1)*(-20)\/(-8). Suppose 20 = y*c + 2. What is the second derivative of 19*f - c*f - 11*f**2 + 13*f wrt f?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-125)*-5)\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-20))\/(3\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(1\/17)*t**(-12)*(t\/(t*t**(3\/4)))**43 assuming t is positive.\nAnswer: t**(-2869\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b. Let v(n) = 74*n. What is d(v(u))?\nAnswer: 74*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -n - 6*k - 7, 2*n = 5*k - 35 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 10 = -a, 3*m - 26 + 18 = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 227 = -14*i. What is the smallest common multiple of (28 - -2)*(-2)\/(-3) and i?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87448161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 4, q: 3}. What is prob of picking 2 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - 4*k + 2*k + k + 5*k - 4*k - 2 + 2*k + 2 + (1 - 1 - 2*k)*(3 - 4 - 1) + 5 + k - 5 + 2 - 2 - 2*k - k + 0*k + 2*k + k + 3*k - 5*k + 3*k + 2*k + 10*k.\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*z**2 + 4 - 5*z**3 + 0*z**3 - 9*z**3 - 1.\nAnswer: -14*z**3 + 138*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 16 = 3*q, -15*j = -q - 12*j + 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -332900, -665796, -998692?\nAnswer: -1331588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1798 + 9*n**3 - 12*n**3 - 1798 - n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.7836\nAnswer: -0.07836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**2\/2 + 1568*q - 3135\/2 = 0.\nAnswer: 1, 3135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -48, -68, -86, -102, -116, -128?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 24964*q**3 + 72364*q**2 - 7520*q + 192 = 0. Calculate q.\nAnswer: -3, 4\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -170*f + 781. Let k be a(4). Which is greater: -72 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1143 (base 14) to base 10\nAnswer: -2999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 2*g**2 - 2*g - 2. Let l be o(3). What is the fourth smallest value in -0.5, -8, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 6:09 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(56) + sqrt(504)*1 + sqrt(504) + sqrt(56))\/sqrt(8))**2 + sqrt(35)\/sqrt(5) + 0 + sqrt(7) + 3*sqrt(7)*2.\nAnswer: -1344 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24711822 or 24711823?\nAnswer: 24711823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 + -3)*1\/2. Suppose c*i = 102 + 148. Suppose 0 = 40*g - 42*g + 40. What is the highest common factor of i and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, -5, -2, 76, -7 in ascending order.\nAnswer: -90, -7, -5, -2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138\/8 - 0 - 12\/48 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10540150 - 0.294?\nAnswer: 10540149.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 11. Let n be 6\/1*l\/9. Let m = -3 + 9. Solve y = n*y - m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344 + 308 = 12*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 - 82. Let o be (1\/10*k)\/((-2)\/(-10)). Solve i + 4 = 3*i + 4*s, 0 = o*i - 2*s - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -3288.\nAnswer: -3288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 1) + 1459 + 3. Let x = -750 + d. What is x rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, 661, -0.1, -3\/4, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 38*g + 138. Let o be r(-4). Let m be 1*(4\/2)\/(-2). Let f(q) = -1. Let s(b) = -5*b + 1. Let j(d) = m*s(d) - f(d). Give j(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(698\/(-39786))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**2 + 79 - 5*b**4 - 568*b**3 + 535*b**3 + 2*b**2 wrt b?\nAnswer: -20*b**3 - 99*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (0 + 2 - 2). Suppose 0*l = -p - k*l - 52, 208 = -4*p + 2*l. What is the common denominator of (-3)\/1 - p\/20 and -63\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 2*w)*(-322498 + 322498 + 26*w**2).\nAnswer: 26*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(4\/8*-2) - 7. Is (844 - 1)*(-8)\/l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629165 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022956987 rounded to 5 decimal places?\nAnswer: 0.02296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48106 - 144321 + 48104 + 48111 - 24*c + 5*c.\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12455458 divided by -336634\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0543821+73\nAnswer: 73.0543821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/(-4) + -7 + 3. Suppose 5*u + 3 = -2*w, -17 = 2*w - 3*u - v. Let r be 1 - (w\/12 + (-15)\/9). Solve 5*b = r*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*y - 0*g + 1, -5*y = g - 4. Let u(w) = -w**3 + 4*w**2 + 3*w + 1. Let r be u(-2). Suppose 0*i + i - r = 0. Solve -5*z = y + i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -5\/3*p**3 + 5\/4*p**2 - 1\/2*p**5 - 15 + 1\/12*p**6 - 1\/2*p + 5\/4*p**4. Factor k(u).\nAnswer: (u - 1)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 3*u + 4*u)*(-4 + 1 + 2) + (-18 - 8 + 25)*(-3*u + 3*u + 2*u) + (2 - 3 - 3)*(-3 + u + 3) to the form w*u + t and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 230719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/174 and 185\/714.\nAnswer: 20706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-5 - 1 - -2). Suppose 4*j - 4*l + 1 = 3*j, -10 = -t*j + 2*l. Suppose 0 = -0*f - j*f + 30. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*u = 2*u - 3519, 4*r + 4*u + 2808 = 0. What is the common denominator of r\/304 - (-6)\/(-2) and -101\/38?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(440) - -2*sqrt(440) - sqrt(440))\/sqrt(11))\/sqrt(8) + (sqrt(405) - (-1 + sqrt(405) + sqrt(405) + 3))))**2 + 0.\nAnswer: 700*sqrt(5) + 6225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 570 and 3489.\nAnswer: 662910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 34324?\nAnswer: -34323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**2. Let b(t) be the third derivative of 17*t**4\/8 + 43*t**2. What is n(b(o))?\nAnswer: -10404*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 - 137 - 141*l**3 - 136*l**3 + 275*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9538\/342 - 2\/6 - 8\/(-18). Calculate the greatest common divisor of z and 2569.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42172 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d**3 + 4*d**2 - 6*d - 3. Let v(o) = 19*o**3 - 7*o**2 + 11*o + 5. Give -11*f(c) - 6*v(c).\nAnswer: -4*c**3 - 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 407053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233 + -34423?\nAnswer: -34140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13814.\nAnswer: 2, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -332.\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n*n**(-12\/7)*n)))**36)**(-22\/9))**24 assuming n is positive.\nAnswer: n**(-4224\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 4*t**2 + 2*t**2. Let s = -37 - -32. Let p(g) = -2*g. Let y(h) = -h. Let u(d) = s*y(d) + 2*p(d). Calculate a(u(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 4:53 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503369 is divided by 1144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**5\/60 + o**2 + 3*o. Let h(i) be the first derivative of q(i). Let b(w) = w - 2*w + 0*w. Calculate b(h(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2\/5 + 12*n + 108\/5 = 0 for n.\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -226 + 2*j + 226. Let m(p) = 3*p - 6*p - p. Give g(m(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnan when four letters picked without replacement from naaaaaaaannnanaaana.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3843 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -107*(6 + 0 - 11). Let j = -506 + b. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 divided by 2275?\nAnswer: 342\/2275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 + -1. Let w = l + 1.2. Let o = w - -1. What is the nearest to -0.1 in 2\/3, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*121136\nAnswer: 605680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(700) + 0 - (2 + sqrt(700) + 0)**2)*6*6.\nAnswer: -25344 - 1800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -45?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1945b8 - 9?\nAnswer: -194605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 810*p - 44*p = -7777964. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(2\/(-1)*1)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + (11 - (18 + -7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*r**2 - 59*r**2 + 205*r**2 - 49*r**2 - 110*r**2.\nAnswer: -129*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 2*u**2 + 4*u**2)*(4*u**2 + 3*u**2 - 6*u**2)*(-377243*u + 377269*u + 1 - 6).\nAnswer: 104*u**5 - 20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11*z - 24*z - 1 + 17*z. Let b(s) = -25 + 25 - s. Determine 6*b(w) + j(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 806.249 litres in millilitres?\nAnswer: 806249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 45 = -5*v. Calculate the common denominator of -25\/8 and 2 + 29\/v + -3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276268?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2121584\/11668833 - -2\/1060803. Let z = 1.7 - -0.3. Which is the fourth biggest value? (a) z (b) 0.09 (c) -0.12 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*j + 12, 0*k + 12 = -k - 3*j. Calculate the lowest common multiple of (-16)\/((-2 + k)\/2) and ((-24)\/(-10))\/((-24)\/(-180)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**3 + k**3 - 4*k**3)*(0 + 0 + k)*(-8 + 1 - 1) to a + r*k + g*k**3 + m*k**2 + q*k**4 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 36800.73 decades?\nAnswer: 4416087.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/33 (b) 41911 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.8696088 to 3 decimal places.\nAnswer: -8.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1803 = 3*k, 5*k = -3*f - 1360 - 1342. Let c = f + 4553\/5. Determine z, given that 8\/5*z + 2\/5*z**2 - c - 2\/5*z**3 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14681443?\nAnswer: 7, 2097349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -772764255 to the nearest one hundred thousand.\nAnswer: -772800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -620*m - 1 + 1 - 626*m + 1247*m - 1361*m**2. Let h(t) = -2*t**2. Determine u(h(c)).\nAnswer: -5444*c**4 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6352, -6205, -6058, -5911, -5764, -5617?\nAnswer: -5470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 7*t + 5. Give h(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 >= -587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1510\/(-4) - ((-17 - -45) + -29). Suppose r + 205 + 173 = 0. Which is greater: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(5\/4))\/(p\/p**(-2\/17)))**(-31) assuming p is positive.\nAnswer: p**(-2387\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 11:20 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2103062 by -2103062.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8156.453l in millilitres?\nAnswer: 8156453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3376416 divided by -1688208?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 0.38, -2?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(21)\/(sqrt(33)\/sqrt(11))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1870483*q**6 - 1543*q**2 + 4*q + 36 wrt q?\nAnswer: -224457960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 10192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3370 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30009 and 40908.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**3 + 4*p**3 + p**4 + (-3*p**4 + 2*p**4 + 3*p**4)*(4 + 2 - 4) - 3*p + 9507*p**3 - 4746*p**3 - 21*p**4 - 4751*p**3.\nAnswer: -16*p**4 + 10*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 20 = -2*g, -3*g + 15*j = 19*j - 24. Put g, -14, -7, 5 in increasing order.\nAnswer: -14, -7, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -782 - -1169. Calculate the greatest common divisor of d and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 140196, 1120770, 3782328, 8965362, 17510364, 30257826, 48048240, 71722098?\n\"Answer: 140082*u**3 + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 41676515.\nAnswer: 11\/41676515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 193*l**2 + 15*l**3 - 121*l**2 + 8199*l**4 - 8202*l**4 = 0.\nAnswer: -3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 5. Let r be 66\/(-11)*(-2)\/(-3). Let q be (0\/1)\/((-2 - r)\/(-1)). Determine o(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 times -163575?\nAnswer: -9160200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-40) - 405\/50. Let c be 18\/21*g\/18*7. Does -4 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1100011111110?\nAnswer: -1100011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19778832811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/1568 and 2\/(-9) - (-26726)\/(-10143).\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 36. What is the highest common divisor of 10 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1864*d + 13045. What is q(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99400305, 99400302, 99400299?\nAnswer: 99400296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63358?\nAnswer: 2, 79, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, z: 1, i: 1, r: 1, t: 1}. Give prob of sequence fi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, -30, -78, -148, -240, -354?\n\"Answer: -11*d**2 + 7*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 59*x - 54 - 76 = -5*v, -x + 50 = 4*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 2. Let f be o(-3). Suppose -c = f, 30 = 3*w + 3*c - 123. What is the remainder when w is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -57564, -115129, -172694, -230259?\n\"Answer: -57565*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*k + 2*c - 0*c, 3*k = 2*c + 15. Let v be 12\/14 + (-3)\/(0 + k). Which is bigger: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (5 - (3 + 10)) + 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034519.\nAnswer: 109, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 961077937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 169, 200, 169, 34?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/3)\/((-2)\/(-18)). Suppose 0 = -3*w + 30 + s. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21330 (base 4) to base 14.\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4265623 - 1?\nAnswer: 4265622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of x**2 - 2329*x - 565 wrt x?\nAnswer: 2*x - 2329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from {m: 1, o: 1, x: 1, a: 1, p: 2, r: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from {k: 1, i: 6, p: 4, h: 1, t: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d1f3f - 8?\nAnswer: -d1f47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*11\/363*15\/(-4).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 4*n = 41, 0 = 4*v - 4*n - 13 + 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (6 - 1)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + i - 1168 + 18, 0 = r - 4*i - 251. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3990 - -3987. Put -5, -40, 5, l in ascending order.\nAnswer: -40, -5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4386339 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -186 and 346?\nAnswer: -64356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3060\/(-4590))\/(((-300)\/(-9))\/4)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/25 + (-32)\/(-5). Let d(l) = 3*l + l - 2*l + x. Let b be ((135\/4)\/15)\/(3\/(-8)). Give d(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p - 6. Let o be ((-27)\/(-6))\/(6\/(-8)). Let v(n) = 12*n + 17. Let x(u) = o*v(u) - 17*a(u). Let y(s) = -2*s. Determine y(x(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/320 and (8 - 1878\/234)*((-868)\/(-80) - -1).\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8742273 and 5553?\nAnswer: 1851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/423300 and 61\/47175?\nAnswer: 15662100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ertevtrvttveevtrlrtv. Give prob of picking 3 v and 1 t.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 66, 143, 252?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 908, 2018, 3570, 5570?\nAnswer: 8024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 510364 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1041657733696676 + -1041657963246906.00000004. Let m = l + 229550234. Let p = -4 + m. What is p rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/21 in 2\/13, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/10 - (-1794)\/(-30). Let y = 100 + t. Let b = -19 + y. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + -6.03. Let l = -5.8 + -2.2. Let b = l - g. Sort b, 2\/3, 3\/2.\nAnswer: b, 2\/3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8 - 11*o + 55 + 75 + 30. Calculate the remainder when 207 is divided by s(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 9. Let u be g(-6). Suppose -u*p = -4*t + 16, 0 = 5*t - p + 2*p - 1. Let x = t + 13. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.1 (b) 5.27 (c) -4 (d) -2\/11 (e) -4.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 - 197. Let i be 4\/14*k\/72. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*r + 411*r - 164 = 32*s, 3*s + r + 13 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2376 + 9222 = -5*l, -4*q + l = -13674. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 4*y + 2*y)*(0 + 0 + y) - 8*y**2 + 2*y**2 - 8*y**2 + (0 + 0 - 2)*(-3*y**2 - 4*y**2 - 8*y**2).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257868171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1651884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 3014355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1101 + -1090.23. Round u to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -8*r + 16. Solve a = -a + r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 + 39. Is r a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.25 less than or equal to -2\/105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31165, 31132, 31077, 31000, 30901, 30780?\nAnswer: 30637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3242685, -4, 0.\nAnswer: -3242685, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*i + 3. Let v(j) = j**2 - 5*j - 65. Let t be v(11). Suppose i*c = -g + 22, -t + 2 = c. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 + 3*h**4 - 5*h**4 + 2*h**2 + (-22 - 12*h + 22)*(3*h**2 - 3*h**2 - 2*h**3) to c + d*h**4 + x*h**3 + k*h**2 + t*h and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 8*c**2 + 4. Let v be u(8). Suppose 4*m - v*p + 744 = p, 5*m + 930 = 5*p. Let k = m - -313. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/3 + 5*w**4\/3 - w**3\/3 - 17*w**2\/3 + 4*w.\nAnswer: w*(w - 1)**2*(w + 3)*(w + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 301*m**3 - 5*m**2 - 10*m. Let d(z) = -36873*z**3 + 612*z**2 + 1224*z. Determine -5*d(b) - 612*i(b).\nAnswer: 153*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112939 (base 13) to base 15.\nAnswer: d3a890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 16812 = -5238. List the prime factors of b.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -485 + 738. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 3:45 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20\/70 + 113\/119 + 1 - (-2340)\/(-1040)\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7226951*w**4 - 2*w**3 - 53573613*w**2?\nAnswer: -173446824*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -4\/15*k**2 - 2\/45*k**3 - 5 - 8\/15*k. Determine a so that t(a) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w*w\/w**1*w)))**(-1\/12)*(w**7\/w)\/(w\/(w*w**1\/w))*(w\/(w\/(w\/w**(8\/7)))*w\/w**(-3\/13))**(-5\/16) assuming w is positive.\nAnswer: w**(7877\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 3 + p**2 - 2 + 7 + 0*p**2 - 6*p**2 + 2*p**2 + (2*p - p + p)*(3 - 3 - 2*p) to v*p + g*p**2 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 31*q - 27*q + 26 = 0, w + 5*q + 10 = 0. Solve 11*z = w*j - 5*j + 71, -2*z = -j - 13 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -69. Calculate the remainder when w is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - p - 3. Let h be g(0). Let m = 11 + h. What is the smallest common multiple of 14 and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-81))\/((490\/63)\/(-7))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 807535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by (-33)\/((-66)\/12 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h + 7*h + 15*h + (612*h + 1 - 596*h + 8)*(5 - 4 - 3) to i + b*h and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 184 (b) 28 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29137391 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/7 - 524120*k**4\/7 + 1572374*k**3\/7 - 1048252*k**2\/7 = 0 for k.\nAnswer: -262063, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61360770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*n = -1572*h + 1577*h - 6160, 5*h = -6*n - 165 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + (-30)\/(-5))*5\/2. What is the third derivative of -4*c**5 - n*c**5 - c**5 + 18*c**2 wrt c?\nAnswer: -600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -11.1. Let t = 1617920.00007 + -1617931. Let g = t + o. What is g rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j + 3. Let m(u) = 2*u - 2 + u**2 - u - 4*u. Let o(n) = -3*m(n) - 2*t(n). Find l such that o(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2\/9, -0.3, -3\/2, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1000, -2341, -3682, -5023?\nAnswer: -6364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0*u - 1 + u + 3 + 3*u + 6*u**2. Let c be z(-2). Suppose c = -4*s + 106. Solve 0 = -5*r - s + 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 5*b - 3*b + (1 + 1 - 3)*(655 + 70 + 784)*((-3 + 4 - 2)*(-b + 5 - 5) - b + b + b) - b + 1 - 1.\nAnswer: -3017*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 5, -2*j - 23 + 3 = 4*a. Solve -3*v + 6 = 0, j*v = -5*s - 4*v - 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 102\/34 - (-4 - -1). Suppose -c*q + 719 = -55. Suppose 48*r - q = 47*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 10*p = 24. Let b(x) = x - 1. Let m = 1 + 2. Calculate the remainder when p is divided by b(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447*n + 2034 = -108*n. Solve -66*d + 69*d = -n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (11 - 4 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1701*d**5 + 4795*d**4 + 3*d**2 - 1063633*d.\nAnswer: -102060*d**2 + 115080*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 1, i: 1, w: 2}. Give prob of picking 1 b, 1 u, and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g - 7. Let m(n) = n + 12. Let b be m(-19). Let u be (-23)\/(-7) - ((-44)\/b - 6). Let f be x(u). Solve -3 = f*z - 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867087232 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5625*g**3 - 7*g**2 - 6*g - 4. Let k be t(9). Round k to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - v + 3*v + 2 - 6. Let c be t(-6). Suppose -7*u + c = -2*u. Calculate the highest common divisor of u and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2989.9 - 2990. Which is the nearest to -1? (a) 3 (b) m (c) -1\/5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 0.2, -20, 2.01?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 6:58 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -78*t**3 + 544*t**2 + 34*t - 164. Give x(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-145)\/30 + (-11)\/(-6) + -2. Suppose -10 = 4*t - 2. Put v, -4, 4, t in ascending order.\nAnswer: v, -4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 1481*p = 1482*p - 5, -3*p + 10 = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 52 = -3*a, -2*c + c + 3*a - 13 = 0. Let s = c + 37. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 671414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 16. Let f be a(14). Let w(v) = v + 2. Let u(k) = -k. Calculate f*u(p) - w(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.97695 rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14)\/(0 - -2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -466 or -547?\nAnswer: -466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 262721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40474519 is divided by 703.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -18*l**3 - 303*l**2 + 52*l + 22. Give m(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22495146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 4*q**2 + q + 5. Calculate d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.8 + 34. What is l rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-5))\/((-3)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.08388 and -0.04956.\nAnswer: -0.13344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 + 23*a**2 - 77*a + 24. Let q(m) = 4*m**3 + 24*m**2 - 78*m + 25. Let v(j) = 4*q(j) - 5*y(j). List the prime factors of v(15).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 2*f**3\/27 - 2*f**2\/3 + 10*f\/9 - 62. Solve y(c) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2. Let v = a + 2. Find the first derivative of -12 + 16 + 0*m**v + m**2 wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -32\/3 (b) -126 (c) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 11:05 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63429103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22452, 22469, 22486, 22503?\n\"Answer: 17*b + 22435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1078) + sqrt(22)))\/sqrt(2).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 26 = -5*q, 4*q = -s - 3*s + 24. Solve 5 + 7 = -q*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 1\/20*g**5 + g**2 + 0 + 1\/2*g**3 - 1\/2*g**4 + g. What is the tens digit of y(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24264 + -1.5.\nAnswer: -1.25736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(13) + 4 + -2*(-2 + sqrt(13))**2 + 3)*-5.\nAnswer: -405 + 135*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 15 = -5*u - 1, -3*u - h = -2. List the prime factors of (-2 - 0)*u\/(-4) + 37.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**2 + 4*b - 19. Let f(y) = -14*y**2 - 12*y + 56. Let p(v) = -3*f(v) - 8*r(v). Factor p(h).\nAnswer: 2*(h - 2)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-19)\/(152\/(-4240))*(-6)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 14*f**2 - 4*f + 3. Calculate l(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w + 4*h + 11, 0 = w - 3*h - 21. Let c = 36 - 76. Does 10 divide (-2 + -1)*c\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35940.\nAnswer: 2, 3, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*h - 8. Suppose -42 = s - 8*s. Suppose -2*x + 10 = 5*l, -4*x + s = 3*l - 0*l. Solve 3*j = h*q + 17, 19 = j + l*q - 6*q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-23)\/((-12650)\/(-704)))\/(-4)*70\/1.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/45 and -74\/34011?\nAnswer: 170055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15455 is divided by 238?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 17*f**2 + 6*f - 23. Let p be i(5). Let a be p\/44 - 4\/(-22). Calculate the greatest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 9856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*k - 188*k + 10 = 0. Solve -5*g - 3*t + 6*t + 31 = 0, -2*g = k*t - 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 294 - 292. Let f be -6*g*(-33)\/12. What is the highest common factor of 121 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + 3 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168070 is divided by 1303?\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -41. Suppose a = 8*r - 3*r. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 521 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 183, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-125))\/((-3)\/15)*(-4)\/4\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 405458772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(-4 + 3 - 2)*(1 - k - 1).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3776716 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 774793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5976 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 314.3 * 2419\nAnswer: 760291.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 3 + 11. Suppose 3*h + 0 = -o*l + 20, -h + 60 = 4*l. What is the remainder when 45 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -23. Let s = 423\/7 + -60. Let k = 1 - 2. What is the nearest to k in -3, s, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40293 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 + 32 = -3*d, 3*j + 6 = 0. Let p = d - -19. Factor 15*f**5 + 10*f**5 - 39*f**5 + 19*f**p - 5*f**3.\nAnswer: 5*f**3*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117265 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1339, 10905, 36919, 87607, 171195?\nAnswer: 295909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876 divided by -28?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-1 - 10)) + 0 + -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -0.18.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 301967 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 36*a - 545. Let l be x(-29). What is the highest common factor of 1891 and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (947*t + 4216*t - 10 - 1 + 2 + 14)*(-2*t**3 - 2 + 2) to h + n*t + d*t**2 + g*t**3 + i*t**4 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800834 is divided by 100103.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37203063 * 3.\nAnswer: 111609189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1607652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 a factor of 62230633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3)\/(q\/(q*q\/(q*(q**(3\/5)*q)\/q))))**(4\/3)*(((q\/q**(-1))\/q)**37)**(3\/11) assuming q is positive.\nAnswer: q**(4819\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31404 divided by -1.\nAnswer: 31404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 63\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, q: 1, u: 2, o: 2}. What is prob of picking 1 o and 1 n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1139 and 31943?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0*y + 129. Let p = y + -51. Let u(b) = b + 13. What is u(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*q - 2*b - 0*b, -q + 6 = 2*b. Let w be ((-2)\/(-5))\/(-166*q\/(-20)). Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -242654 + 4?\nAnswer: -242650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 186176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 758.5*-11475\nAnswer: -8703787.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 49*d**3 + 1468*d**2 - 62*d - 54. Give w(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -85, 2, -40.\nAnswer: -85, -40, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*sqrt(704) - sqrt(704)))**2 - sqrt(704)*2*3.\nAnswer: -112*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 4*r + 52. Let g = r - 10. Suppose -3*u + 17 = 2*n + g*n, 0 = u - 3*n - 15. What is the greatest common divisor of 27 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u + 99. Calculate y(-42).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -875964\/1741 at most as big as -504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6\/24*(-36)\/45\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1614.7 to the nearest ten.\nAnswer: -1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2193254 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeee. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -70, -133, -210, -295?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -118239 (base 10) to base 14\nAnswer: -31139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 5\/3, 20, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = 8*i - 192 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151662 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*m**4 - 13999*m**2 - 5067627*m.\nAnswer: 792*m**2 - 27998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 169274*p**4 - 202569*p**2?\nAnswer: 4062576*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 902.8363ml?\nAnswer: 0.9028363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 4, t: 14}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 10*s**2 - 24*s + 7. Let b be (-5)\/(-3) - (-1)\/3. Suppose -b*w = 2, w - 34 = -5*u + 25. Calculate the remainder when u is divided by p(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - 13?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 555247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/15 - 37\/(-5). Let a = -10 + o. Sort a, 0, 1 in ascending order.\nAnswer: a, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 6*p + 6. Let a be y(8). Let k = a + 21. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 106060328 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5.128876*-0.2\nAnswer: -1.0257752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.148501899 to one dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19539 + -19444. What is the remainder when 4179 is divided by u?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.231 + -0.22584. What is s rounded to 4 dps?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.85 + 617.\nAnswer: 605.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 5*s**2 + 3*s - 1. Let j be f(-4). Suppose -h + j = -4*h. Which is greater: -6\/7 or h?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 143. Calculate the remainder when j is divided by -5*((-6)\/(390\/377) + 0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4291197 is divided by 480.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 5:34 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - w = 161371, 4*q + w = 85408 + 75965. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 795 - 135. List the prime factors of w.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 + 145 - 55*t**2 - 133.\nAnswer: -50*t**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/13 - ((-12)\/26)\/(216\/(-1161))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -308.61 + 308.63. What is the closest to u in 0, -1, 102?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a7645 (base 12) to base 11\nAnswer: -450521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (-5)\/(-2))*(-184)\/414. What is the fifth biggest value in 0, 3, k, -4, 12\/31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 4:01 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5 - 58*f**4 + 126*f**3 + 58*f**2 - 124*f = 0. What is f?\nAnswer: -31, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/1028937 and -121\/182.\nAnswer: 2057874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 3*y = -g - 919349, 5*g + 5*y - 919345 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*h**3 + 59 - 154 - 102.\nAnswer: -270*h**3 - 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102360 is divided by 10223.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*k - 2*k + 17, 5 = f - k. Let y(x) = 5 - 2 + x - f. Let i be y(2). Calculate the greatest common divisor of i and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111 + -11001?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8*y**3 - 7*y**2 - 7*y. Let v(t) = 7*t**3 + t**2 + 15*t + 6. Let z(l) = 7*l**3 + 12*l + 5. Let m(j) = 6*v(j) - 7*z(j). Calculate -7*m(u) - 6*n(u).\nAnswer: u**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 4 = -4*s. Suppose -5*p - 19 - 9 = s*f, 0 = f - 4. Let d(y) = -2*y - 11. Let l be d(p). Put 3, l, -5 in decreasing order.\nAnswer: l, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -89*i - 2. Is z(-2) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98 (base 15) to base 10\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 7 = c, -c = 4*s + 2*c + 29. Let h(a) = -a**3 - 2*a**2 - a - 10. Let b be h(-3). Let z(l) = 6*l + 0*l + 38 + l**3 - 32 + 6*l**b. Calculate z(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z + 4. Let j be n(3). Let l = 12 + j. Solve -l*f = f + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 9*p**2 - p - 1. Let o be w(-9). Let g = o - 6. Put -1, g, -4 in decreasing order.\nAnswer: g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-four fifths of a hour?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 123*n - 4878. Determine v(40).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4660768 rounded to the nearest 10000?\nAnswer: 4660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 70456 = -2*z, 2*z - 55*a = -54*a + 70477. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -251 + -3b5a?\nAnswer: -3dab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 8. Let n(b) = 2*b - 15. Suppose x + 5*p = 26, -2*x = -3*x + 2*p + 5. Give x*q(f) - 6*n(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41131366*l**3 + 15*l**2 + 3825*l + 2 wrt l?\nAnswer: -246788196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 333*x**3 + 153*x**3 - 2550*x**3 + (3 + 1 - 5)*(4*x**3 - 8*x**3 - x**3) to z*x**3 + d*x + n*x**2 + c and give z.\nAnswer: -2059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*g**3 + 2*c*g**2 - 4*c + 634623*g**3 + 215*g**2 + 505 wrt g?\nAnswer: -12*c + 3807738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + ((-180)\/(-25))\/2. Let i(f) = -f - 18. Let z be i(0). Let x = z + 16. Which is the nearest to -1? (a) h (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 101*s + 557. What is b(-6)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 7 + 3 = 0. List the prime factors of (-190)\/(-20) - 2\/a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 0*(-1)\/2. Let v = -6170 - -6174. Let d be o - ((1 - -1 - v) + 182). What is d rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9040 divided by 113.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00273 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 10:26 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 20 = -5*g, 2*g + 22 = 58*z + 4 - 268 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -13. Suppose 2 + 5 = n - 5*u, 4*n + 4*u = s. Let c(b) be the third derivative of b**6\/60 - b**5\/20 - b**4\/24 + b**3\/3 + 9*b**2. Determine c(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -36*b. Let c be i(-4). What is the highest common divisor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4082 + 8\/(-6)*(-30)\/40 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 5*c**2 - 7*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p - 15 = 0. Suppose p*r - 7 + 12 = 0. Suppose -5 = -m - 2*t, 0*m - 3*t = m - 7. Which is greater: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 12*r + 5. Let j(v) = 858*v**2 - 27*v - 28. Let x be j(-1). Let k = -845 + x. Determine f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 134*u**2 - 67*u - 67. Let b(t) = -t**3 + 2*t**2 - t - 1. Determine 201*b(w) - 3*s(w).\nAnswer: -201*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4315, -16751, -37433, -66361, -103535, -148955, -202621?\n\"Answer: -4123*o**2 - 67*o - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58.076 in -0.4, 0, -58, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36349 and 9?\nAnswer: 327141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {h: 8, e: 4, l: 4, g: 2, k: 1}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 - 251 = -51*b + 340 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*t = -174*t - 656 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)*(o*o**8\/o)\/o)\/(o*o**(-3\/11)*o**6*o*o) assuming o is positive.\nAnswer: o**(-85\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2. Suppose 2*c - 34 = -5*g, -4*g - 6 = 5*c - 91. Let m(q) = -818*q + 1638*q - 818*q - c. What is m(f(h))?\nAnswer: 6*h**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000020321693 to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**3 + 87*j**2 + 230*j - 26400 = 0.\nAnswer: -80, -22, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 4. Let j be s(6). Let o be (-4)\/2*-2*2. Solve a - o = k, -5*k - 33 + 2 = -j*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -17, -13 in increasing order.\nAnswer: -17, -13, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -47. Suppose -5 = -2*p + 7*p. Calculate the remainder when y is divided by p\/(-4) + 35\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s. Let l = 6 + -4. Let d(h) = 0*h**2 + 4*h**2 + 0*h**l. Determine a(d(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i + 5*i - 14*i**2 - 155*i**2 + (2*i - 3*i - i)*(0*i - 4*i + 2*i) - 3*i**2 + 0*i**2 - 3*i**2.\nAnswer: -171*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 38, 55, 70, 77, 70, 43, -10?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(300) - (sqrt(300) + 1 - sqrt(300)))**2.\nAnswer: -1505 + 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 980035*b + 11. Let c(q) = -980029*q - 10. Let m(i) = 6*c(i) + 5*s(i). Suppose 4*k - 25 = -k. Let p be m(k). What is p rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161981.2 micrograms to kilograms.\nAnswer: 0.0001619812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 24460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 287\/540 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(156)*-2)\/sqrt(3))\/(sqrt(36)*1))**2.\nAnswer: -4*sqrt(13)\/3 + 61\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a week in hours?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5036 divided by -4.\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -9, 259048, -1 in decreasing order.\nAnswer: 259048, -0.1, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-5)*(-6)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.760676173 - 0.\nAnswer: 2.760676173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(11\/(-4) - -2) + (-29 - -3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3370698 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**6\/15 + 4*i**5\/5 + 8*i**4\/5 - 4*i**3\/15 - 17*i**2\/5 - 16*i\/5 - 113. Factor m(p).\nAnswer: 2*(p - 1)*(p + 1)**3*(p + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.20004 - 0.2. What is i rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10610\/11 - 961. Let z = 189\/44 - w. Factor 3\/4*x**3 + 0 - 3\/4*x - 3\/4*x**4 + z*x**2.\nAnswer: -3*x*(x - 1)**2*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -11\/6 (c) -0.3 (d) 5 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 8. Let r(o) = o + 9. What is r(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*t + 6, -t + 2 = -2*b - 3. Let g(l) = -1284*l**2 - 4 + 4*l + 598*l**2 + 2283*l**2. Is g(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**2 + 8*f + 6. Let g(h) = 20*h**2 + 26*h + 18. Let a(r) = 5*g(r) - 14*t(r). Calculate a(-12).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwu when three letters picked without replacement from wuxxwxw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (-1 + 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**4 - g**4 - g**4 + (0*g**2 - 2*g**2 - 2*g - 3*g**2)*(5 - 5 + 3*g**2) to the form r*g**2 + b*g**3 + a + y*g**4 + v*g and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 474 + -5?\nAnswer: 46b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5147 - 5063. What is the least common multiple of 606 and r?\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -2\/3, -4\/5, -2\/7, 16\/213, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from {m: 7, o: 1, f: 1, v: 2, g: 1, b: 5}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -62, -92?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -0.127553932?\nAnswer: -2.872446068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-6) + 0)\/(2\/20). Suppose b*t = -2*t + 679. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2806.866 centuries?\nAnswer: 280686.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -104, -101, -86, -53, 4, 91?\n\"Answer: p**3 - 4*p - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((30\/(-90))\/(1\/(-1713)))\/(-1). Which is smaller: t or -577?\nAnswer: -577","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7219 - -8968. What is the remainder when d is divided by 159?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58\/21 - -24\/7. Solve -f + b + 1\/3*f**2 = 0 for f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41202 divided by -3.\nAnswer: 13734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 20 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 691782 and 141232?\nAnswer: 536822832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1411 is divided by 356?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7049, -13746, -20445, -27146, -33849, -40554?\n\"Answer: -t**2 - 6694*t - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 201805 + -201803. What is n in 0 + 0*n - 4\/3*n**l - 5*n**3 = 0?\nAnswer: -4\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8 = 0, 5*g = 3*k + 2*g - 6. Let f(l) = -l**3 + 3*l**2 + 5*l - 6. Determine f(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380.4 rounded to the nearest integer?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p**3 - 2*p)*(-2*p - 4*p + 4*p) + (-958 + 467 + 477 - 101*p)*(-2*p**3 - 3*p**2 + 3*p**2).\nAnswer: 200*p**4 + 28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 2*l + 3. Let i be p(-3). Find the third derivative of 2*o**6 + 0*o**2 - 5*o**i - o**2 wrt o.\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 7581207\nAnswer: -7\/2527069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/4)\/d)**(-2\/7))**9\/(d**(2\/11)\/d**4)**(-17) assuming d is positive.\nAnswer: d**(-9897\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2 (b) 0.3 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -19 + (214 - 79) + -138\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2061 - 8?\nAnswer: -8.2061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10457245171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004 - 0.21452?\nAnswer: -0.21852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*5\/5 + 12\/2100*-185?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*m = -3*o + 25, 2*o + 5*m - 10 = 0. Solve -4*y + 3*y = o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**(-28)*j\/j**(-4\/9)*j**(-12) assuming j is positive.\nAnswer: j**(73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 - -1. Let h be (-4)\/((-124)\/(-1))*4. Let y = -43\/93 - h. Which is the nearest to q? (a) -5 (b) -1\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 - 8791525.\nAnswer: -8791476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -12)*(23760\/128)\/27*2*2.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 1017.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r. Let k be 4\/18 + (-64)\/(-36). Let v(y) = -7*y - 3*y**k + y + 6*y. Give s(v(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25949112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 47998 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**3 - 79*j**2 + 457*j + 3640. Determine r(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3\/6 - 1490345*i**2\/3 - 5961395*i\/6 - 1490350\/3.\nAnswer: 5*(i - 596140)*(i + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 10. Suppose 0*x = 5*b - 2*x + 41, -4*x + 12 = 0. Give y(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**4 + 47396*c**3 + 1087796*c**2 - 2317796*c + 1182600 = 0. What is c?\nAnswer: -11826, -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 7.9. Let q = 0.5 - 2.5. Which is the closest to 2? (a) o (b) -0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:16 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 + 2*h + 3. Determine m(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -469, -935, -1401?\nAnswer: -1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 1048, -6, 97 in decreasing order.\nAnswer: 1048, 97, 4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/((-2*sqrt(121))\/sqrt(11) + sqrt(11))*6)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -0.5 (c) 0.4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**6\/120 - u**5\/15 - u**4\/12 + u**3\/3 - 3*u**2. Calculate p(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7372405813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.089 and -55.7229.\nAnswer: -4.9593381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h - 45. Let r be x(19). Suppose 89*o = r*o. Suppose 2*u - 4*u + 164 = o. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/3*(-16)\/(-528)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 456\/(-16)*(-14)\/84?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 38. Solve 4*s = 3*q - 16, -2*s = -2*q + 6*q + i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8913 - -15277. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 117*w**2 + w. Let k(p) be the second derivative of -p**3\/2 + 2*p + 67. What is k(h(x))?\nAnswer: -351*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(4\/5))**(-1\/10) assuming n is positive.\nAnswer: n**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -15*(2 - (-52)\/(-6)). Let b = -69 + m. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/10 and 23\/1789320?\nAnswer: 1789320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5396*g**2*y**5 - 785*g**2*y - 2*g**2 - 5*y**5 + y wrt y?\nAnswer: -107920*g**2*y**3 - 100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + u**2 - 5*u + 188. Let c be v(0). Let b = c + -175. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 383 + -323. What is the lowest common multiple of 90 and k?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 2, e: 6, l: 1, r: 5, k: 1}. What is prob of sequence ke?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 24, 10.3?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 257\/993843?\nAnswer: 257\/993843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1968, -2029, -2138, -2301, -2524, -2813?\n\"Answer: -t**3 - 18*t**2 - 1949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -100313 (base 4) to base 7\nAnswer: -3101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -32.2228 times -0.5\nAnswer: 16.1114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 15410.\nAnswer: 261970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 5. Let j(d) = -d**2 + 2*d + 12. Let y be j(6). Let c be u(y). Suppose -20 = -c*t + 3*t. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -490\/323 or -871?\nAnswer: -490\/323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -566656 (base 11) to base 12.\nAnswer: -375b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 491796 and 12909645.\nAnswer: 51638580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/264 + (-7)\/(-504)*6?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from pppffpfpfiip.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 - r**4 + 11*r - 3*r + 8*r - 14*r + 2*r**2 + 10*r**2 in the form n + s*r**3 + t*r + i*r**2 + d*r**4 and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24169707*y**4 + 2*y - 4557649.\nAnswer: -290036484*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -30*x**4 - 2756*x**3 - 23512*x**2 + 62224*x - 7872 = 0.\nAnswer: -82, -12, 2\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 4*c - 2. Let x(k) = k + 1. Let s(f) = g(f) + 4*x(f). What is the derivative of s(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 213 = -9*a + 3*i, -5*i = -a + 181. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - o - 382. Suppose -l + 6 = 13. Is 8 a factor of l\/35 + o\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2621700 is divided by 524220?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -72*c. Let h(a) = 1647*a**2. Give v(h(y)).\nAnswer: -118584*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5554)\/417*-1*(-66078)\/(-120). Let v = i + -36669\/5. Calculate the common denominator of v and 87\/14.\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of y**2 + 14097 - 81*y**3 - 1389*y - 14097 wrt y.\nAnswer: -486*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012202111022 - 1022012?\nAnswer: 2012201012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 28. Let t be 1\/(2 + -1) - (5 + x). Solve 0*h = h - 5, q + 15 = t*h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8. Suppose k*t + t = 2. What is the second derivative of f**2 + t*f**5 - 2*f - f**2 wrt f?\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226893.\nAnswer: 3, 53, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 11. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6218479ml?\nAnswer: 0.0006218479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -21*l**3\/10 - 382*l**2\/5 + 1591*l\/10 - 403\/5 = 0.\nAnswer: -806\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 400250?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4750, 18968, 42668, 75856, 118538, 170720, 232408?\n\"Answer: l**3 + 4735*l**2 + 6*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1061722136 - -166689772784\/157. Let q = m + 3838. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1425, -1352, -1229, -1056, -833, -560?\n\"Answer: 25*a**2 - 2*a - 1448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5072173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 5*i = -4*r - i + 62 - 34, -2*r - 11*i + 28 + 31 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5173 + -2611?\nAnswer: 2362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3288 in 1.6, 7, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1749176 and 4004?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zww when three letters picked without replacement from {w: 4, z: 4, p: 3, j: 4, c: 2, t: 3}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v - 20. Let z(j) = 30*j - 81. Determine 21*p(s) - 5*z(s).\nAnswer: -3*s - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1455 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 16 + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 41 = 8*p, -2*p = -5*j + 102 - 79 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -6. Let k(n) = 41*n + 3. Let p be k(v). Calculate the greatest common divisor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = -4*a + 4*d, -8*a - d = -4*a - 261. Calculate the remainder when a*4\/(2 + 2) + 2 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3*12\/1. Suppose 0 = h*v - v - 15. Suppose 100 + 132 = v*i + 2*f, 2*f = -4*i + 184. Calculate the least common multiple of i and 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3646*x = -1850*x - 1850*x + 2808 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.10287685 rounded to 3 dps?\nAnswer: -118.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 16, -2*i + 9 = w - 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1148*d - 135 = -1175*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172596486 and 654?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*f + 48. Let r(j) = 12*j + 4. Let p be r(4). Suppose -p - 16 = -4*n. What is the remainder when f is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131.481 or 24?\nAnswer: -131.481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 3*y**2 + 7*y - 12. Let g be t(-5). Suppose 5*c = 10, 0 = -0*q - g*q - c + 1271. What are the prime factors of q?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 13*k + 1042. What is b(-26)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7746361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 14*o + 22. What are the prime factors of v(5)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 2*r**2 + 5*r - 2. Let h be k(3). Find the third derivative of -18*t**5 + 4*t**h + 16*t**5 + t**2 - 4*t**4 wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 9 + 5)*((-11 - 4 + 8)*(1 - 1 + y) + (-y + 5*y - 2*y)*(-1 - 5 - 2)) to the form a*y + q and give a.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -2029, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t + 28. Is l(-8) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110551.89 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.08 (b) -5\/2 (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35254016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-279)\/702 + (-1)\/5*(-55)\/66?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3270 + -3271. Which is the closest to f? (a) 135 (b) 1\/7 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*1*4*-5*-2)\/(-3*sqrt(63)\/(-1*sqrt(36) - sqrt(9))).\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.1395001 days?\nAnswer: 12052808.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14297, -28682, -43067, -57452, -71837, -86222?\nAnswer: -100607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -867, -794, 17.\nAnswer: -867, -794, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o - 3*o - 2*o + (-22 + 37 - 23)*(-2*o - 2*o + 2*o) as l*o + b and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10295\/412 + 27\/103. What is the common denominator of -13\/20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -76*f - f**3 + 9 + 8*f**2 - 1 + 69*f. What are the prime factors of t(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13997407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 9. Let q be -2*(33\/2 + f). Let p = 61 + q. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 12 - 12)*(-1 + 2 + 1)*(1 + 1 - 4).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10\/9, 5 in descending order.\nAnswer: 5, 10\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-23 + (4 + 5 - 13) + -7)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20592 divided by 8?\nAnswer: 2574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02673016532 to five decimal places.\nAnswer: -0.02673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1771\/3 - 590. Which is the closest to 1\/3? (a) -0.4 (b) y (c) 7 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*d**2 + 49*d**2 - 60*d**2.\nAnswer: 294*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21050, 21061, 21072?\n\"Answer: 11*f + 21039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-4)*(-3)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 100*d**2 - 13*d - 196. Let k be b(-100). Calculate the greatest common factor of 483 and k.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6 - 4*y + 11 - 3*y**2 + 4 + 6*y + y**3 + 7*y**2. Give p(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2208089 and 60?\nAnswer: 132485340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 72188042 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*j**4 + 1162582*j**2 + 6029*j + 11085?\nAnswer: 420*j**2 + 2325164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 5 + 97 + (-13 + 2 - (-1 + 0)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**11)**(-41)*(f\/(f\/((f*f**(-8)\/f*f)\/f)))\/(f\/(f\/f**(-7\/3))) assuming f is positive.\nAnswer: f**(-1370\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -70, -124, -188, -256?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2. Let v(g) = -122*g**2 + 3*g + 20. What is v(k(i))?\nAnswer: -1098*i**4 - 9*i**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 559841 - 559413.819. Let v = k - 399.75. Let g = 0.069 + v. What is g rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o - 26*o + 82*o.\nAnswer: 33*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 - 41*m - 1. Let h(v) = 4*v**2 - 62*v - 1. Give -5*h(l) + 7*i(l).\nAnswer: l**2 + 23*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 + 1. Let j be c(1). Let n(w) = -2 + 5 + 4*w - 3 + j. Give n(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45538.34 weeks to seconds.\nAnswer: 27541588032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 + 115. Let g = -34 + k. Let b be (-26)\/(-10) - 6\/(-15). Solve -b*l - 2 = g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 123806 + 2?\nAnswer: 123808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 26*b + 1. Let w(m) = -5*m. Give y(w(z)).\nAnswer: -130*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**3 - 11492*w**2 - 92272*w + 230480 = 0.\nAnswer: -10, 2, 2881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -31. Suppose -5*i = -2 - s. Calculate the highest common divisor of 10 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 924813610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**3\/9 + 2468*l**2\/9 + 11236*l\/3 - 4020 = 0.\nAnswer: -603, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*f = 3*t + 53*f - 2226, -5*t + 5*f + 3710 = 0. What is the greatest common divisor of 4876 and t?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(4)\/(sqrt(10)\/sqrt(5)) + sqrt(2) - (sqrt(80) - sqrt(20))\/sqrt(10) - ((sqrt(200) - (sqrt(200) - sqrt(200)*-1)*6)**2 + 4)).\nAnswer: -4*sqrt(2) + 96816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 4. Suppose 7*n - 4*n - 72 = 0. Suppose 5*x - 3*v = 6, 4*x + 2*v + 2*v - n = 0. Calculate z(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a**3 + 17*a**2 + 6*a + 5. Let v(r) = -3*r**3 - 6*r**2 - 2*r - 2. Let t(s) = 4*g(s) + 11*v(s). Let c be t(2). Factor 3*y**2 - 3*y**2 - 2*y**c.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3\/5 + 106*s**2\/5 - 164*s + 1232\/5 = 0.\nAnswer: 2, 7, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 + -0.1. Let p = i - 2.99. Let v = 181\/3 - 60. What is the nearest to 2\/3 in v, -4, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3945368814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 5*k. Let i be f(-4). Suppose 7 = -i*g - 9. What is the biggest value in g, -3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 12 = -d. Let r(x) = d*x**2 + 7*x + 24 - 28 + 0*x**2. Let z be r(-4). Sort z, 10, -1 in descending order.\nAnswer: 10, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5*sqrt(77)*2)\/((1*sqrt(21) + sqrt(21))\/sqrt(3)) - (sqrt(275) + (1 + sqrt(275))*-1)*5*1)**2.\nAnswer: -40*sqrt(11) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65 * 77215.\nAnswer: 5018975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 602034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0498056691 rounded to 5 decimal places?\nAnswer: 0.04981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5062*q**3 + 4761*q**3 - 13219*q**3 + (0 - 2*q**2 + 0)*(-q + 4*q - 5*q).\nAnswer: -13516*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24432 - ((-21)\/4 - 10\/(-40)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6398, -12793, -19186, -25577, -31966?\nAnswer: -38353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**4\/4 + 2*j**3 + 4*j - 3. Let v be x(6). Let z be (-2 + v)\/2 - -1. Is 0 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**34)**(2\/35) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 16?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1163585*g**3 + 1 + 0 - 1163586*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-480)\/144*2\/(-8)*-6. Is 9 a factor of 4*c\/10 - -443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + p. Let s(q) = -q**3 - 11*q**2 - 5*q + 3. Let c(b) = -4*f(b) - s(b). Is c(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614460 (base 7) in base 13?\nAnswer: 38958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 35*z - 165. What is j(6)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 35. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1106*u**3*w - u**3 - 6*u**2 + 138898*w wrt u.\nAnswer: -3318*u**2*w - 3*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 640da0 (base 14) to base 2\nAnswer: 1100111010000000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7838 + 46865. List the prime factors of t.\nAnswer: 11, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, m: 2, j: 6}. Give prob of sequence smjm.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/49 - -60\/539. What is the closest to -2\/3 in 3, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1072870 and 4658.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 9:47 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Let i be x(-2). Let a(u) = -7 + 0 + 2*u + 0 - i. Let o(v) = v - 5. Give -6*a(n) + 11*o(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -1) + 4 + 28 + -158 + 136.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**3 + 6*g**2 - 6*g - 8. Let t(w) = w**3 - 3*w**2 + 2*w + 1. Let m(c) = -2*t(c) + y(c). Let x be (-36)\/(4*-1) + -2. Is m(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.3182 millimeters in kilometers?\nAnswer: 0.0006143182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k = 3*f, -8 = 2*k. Let v(c) = 29*c**2 + c - 4. List the prime factors of v(f).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*v + 87 + 15 = 0, -5*v + 100 = 4*p. What is the remainder when 418 is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27864 and 2808?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z. Let n(b) be the second derivative of b**3\/6 + 5*b**2\/2 - 264*b. Calculate 2*k(r) - n(r).\nAnswer: -3*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 37 = -3*l, -4*l = -c + 21 - 22 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j - 25. Let o(x) = 1. Calculate a(h) + 25*o(h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -3*s - 4*h, 29 = 3*s - h. Is (-4)\/s + (-407)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 + -16 + 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174 - (0\/5 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**3\/6 + 13*k**2\/2 + 6*k. Let f be n(11). Let v be 1 - (-3)\/(-9)*0. Put f, 4, v in decreasing order.\nAnswer: 4, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 1\/5 (c) 2\/5 (d) -983 (e) -3.81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 7435954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840509.\nAnswer: 149, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254187 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.44 + 3.38. Let l = g + 0.18. What is the closest to 0.1 in l, 1\/6, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 5 - 2 - 4 + (2*c + 0 + 0)*(8*c**3 - 4*c**3 - 2*c**3).\nAnswer: 2*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 - 84a?\nAnswer: -829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millisecond in microseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**2. Let n(d) = 46*d - 2. Determine c(n(y)).\nAnswer: -8464*y**2 + 736*y - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/8 and 63\/164.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 2*w**2 + 2*w**3 + 18*w - 18*w + 2*w**3 - 6*w**2 + 28*w**3 + w + 18*w**2 - 24*w**3 + (-2 - w**3 + 2)*(-1 + 0 + 3).\nAnswer: 6*w**3 + 12*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8397401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 4 + (4 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f + 2*h = 0, 0 = 4*f + h - 3. Let x(z) = 14*z + 6. Let a(v) = 2*v + 3*v + 2 + 0*v. Let j(o) = -17*a(o) + 6*x(o). Calculate j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 133*t - 26. Let x(m) = 46*m - 1. Let v(o) = -3*x(o) + y(o). What is v(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 432403549 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -4. Let r = 0.1 - -5.9. Which is the third biggest value? (a) r (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340, -681, -1026, -1375, -1728, -2085, -2446?\nAnswer: -2811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2448) + 2 + sqrt(2448) + -3)**2.\nAnswer: -48*sqrt(17) + 9798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 24*f + 14*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(3)*-4) - (-2*sqrt(1470) - sqrt(30)))\/(5*((sqrt(150)\/sqrt(5))\/sqrt(3) + sqrt(10) - sqrt(10))*-6)*2.\nAnswer: -59*sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)\/g)**(-1\/30))**(-18)*g**6*g**(-1)\/g*g**(-6\/7)\/g**(-2\/7) assuming g is positive.\nAnswer: g**(78\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5168077 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 265 + (-22)\/6 + (-5)\/15. Let b = 299 - d. What is the least common multiple of 1 and b?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2))**35\/(((y\/(y*y**(-2)))\/y)\/((y*y**(-4\/3))\/y)) assuming y is positive.\nAnswer: y**(-119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 2*u + 6, -h - u = 67 - 58 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 12480.\nAnswer: 12480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 345.88 + -343.88. Is 4.965 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464 = -5*s + 6*o, 0 = 4*s - 4*o - 116 - 260. Suppose 137 = 2*t + 37. What is the highest common factor of s and t?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**6\/3 + 5. Suppose y(r) = 0. What is r?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 284 + 592 = 0. What are the prime factors of c?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -0.4 (c) 0.32 (d) -1 (e) -11\/14 (f) -3 (g) 22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1, -0.4, 0.3, -93, 0, 5896?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c**2 + 8*c**2 + 2*c**2 - 2*c**3 + 20*c**2 - 16*c**2.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 898*x - 82592. What is v(92)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*j + 136916990, -7*i = 14 - 28. Round j to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 163 + -15 + -74 + 2 + -1.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/8*(-5064728)\/(-6). Let d = 2116182 - s. What is d rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66635?\nAnswer: 5, 13327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 16. Calculate the remainder when 28 is divided by d(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 232 - 682\/3. Let m = -76\/15 + c. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (9 + (-11 - -8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 + -72. Suppose 0 = c*f - 15*f + 3. What is the remainder when 13 is divided by -4*f\/10 - (-66)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 33*d**2 - 47 - 3*d**3 + 2*d**3 - 9*d**2 + 27*d. Suppose 122 = 5*j + q, j = -4*q + 2*q + 19. Let g be m(j). Solve -2*f + 1 = -g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2658835833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2502430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6) - 4419\/(-297)) + 162\/(-297). What is the greatest common divisor of 55 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52917140 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 58*t**2 + 123*t + 183. Let p be k(-60). Solve 0 = -p*z, 3*n - z = -n - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwmmmkkmmkkwmmmme. Give prob of sequence wekw.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411846 - -0.8344.\nAnswer: -411845.1656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-2*-4 - sqrt(156))\/(sqrt(12) + (sqrt(192) - -3*sqrt(192))) + 3.\nAnswer: 7*sqrt(13)\/17 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -389.108 times -0.3?\nAnswer: 116.7324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8164 + 98113\/12. Calculate the common denominator of q and (18\/(-20) - -1)*93.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3 - 419*w + 417*w - 2. Suppose -2 = 3*l - 5. Determine v(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -314.6 - 7.4. Let r = y - -321. Which is the third biggest value? (a) r (b) -0.4 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -126*h. Let f(l) = 19*l. Calculate u(f(t)).\nAnswer: -2394*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4784, 1964, -5716, -20686, -45376?\nAnswer: -82216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 106330872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10151*o - 10159*o - 318 = 22*t, -o = -3*t - 35 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 1, z: 1, n: 2, p: 1, y: 2}. Give prob of sequence oz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 15*b**2 + 14*b + 31. Calculate x(13).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*c**2 + 25*c**2 - 67*c**2.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/(-65))\/(76\/(-20) + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 964 and 723.\nAnswer: 2892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1827, -1828, -1829, -1830, -1831?\nAnswer: -1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.67 or 1.26?\nAnswer: 1.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934 a factor of 1442188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50512367*r**4 - 222135441.\nAnswer: 202049468*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 948 divide 10507632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 6 (c) -3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -9*x + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377440, 377016, 376308, 375316, 374040, 372480?\nAnswer: 370636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -950, 3, -11 in ascending order.\nAnswer: -950, -11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3304 + 3338 - (-1 + 76)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(88) - sqrt(88)) + sqrt(88) + -4*(1*sqrt(88) + sqrt(88)))\/(-5*sqrt(72)*-1).\nAnswer: -4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 20*i + 336.\nAnswer: -4*(i - 12)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from dadaaataaaaawdwaamaa?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**2 + 3. Let z(n) = -29*n**2 - 9*n - 18. Let a(c) = -3*c**2 - c - 2. Let k(y) = 36*a(y) - 4*z(y). Calculate k(m(r)).\nAnswer: 288*r**4 - 288*r**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 154?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -90 (b) 4710 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -7. Suppose h*y = -3*m + 5*y - 2, -3*m = 2*y - 5. Let i = 2 - -13. Solve -t = 5*l + t + m, -5*l + 5*t - i = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1944163 to the nearest integer?\nAnswer: 1394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -0.5 (b) 140 (c) -19 (d) 4\/3 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 220461223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkygvkgvggykgggkggg. Give prob of sequence kvk.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 m when four letters picked without replacement from mmmmmffmmmmm?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - -2) + (1 - 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than -253.51?\nAnswer: -263.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 2 = -2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 16*y**2 + 38*y + 10. Let i be m(-18). Put -1, 2, i, -4, 1 in ascending order.\nAnswer: i, -4, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 174, 256, 338, 420, 502, 584?\n\"Answer: 82*d + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*s + 3992 = 715*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2857691797.\nAnswer: 2857691797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5457 - -5460. Let o = -17 + 21. Which is the nearest to 1\/2? (a) 0.5 (b) i (c) 0.1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -308000 to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1581*j - 1595*j = -210 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -501642 divided by -3?\nAnswer: 167214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**2 + 75*a + 82. What is the least common multiple of c(-30) and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1510028645 and 1010.\nAnswer: -1510027635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*m + 11 = 0, 9 = 2*m - 1. Suppose 8 + x = 3*n. Factor -4*i**3 + 2*i**5 - 2*i**4 + n*i**2 - i**2 + 2*i**3.\nAnswer: 2*i**2*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) 129\/5 (c) -2\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u**3 - 8*u**2 - 5*u + 5. Let l(g) = -3*g**3 + 3*g**2 + 2*g - 2. Give -3*c(y) - 8*l(y).\nAnswer: -3*y**3 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h - 2. Let o = 20 - 22. What is the tens digit of w(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -10. Suppose t*a = 10 + 2. Solve -a = -5*y + 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 16, 25, 32, 37?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**5\/20 + 5*c**4\/12 + 7*c**3\/6 + 5*c**2\/2 + c. Let q be a(-2). Factor 6*m**q + m + 10*m**3 + 0*m - 17*m**3.\nAnswer: -m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15269 is divided by 107?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6560.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 13 + 12 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1630170019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 825\/551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zszzzzszz. Give prob of sequence ss.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3670*f**3 - 2380*f**3 - 38447*f**3 - 22140*f**3.\nAnswer: -59297*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6735954 divided by 3\nAnswer: -2245318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -20*q - 123. Let s be o(-6). Let c(f) = 6*f**2 - 4*f - 8. Is c(s) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 90*y**2 - 78*y - 952. Determine x(89).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85.08 + 83. Let v = a - -0.08. Which is bigger: 1\/4 or v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Suppose 4*o - 2 = 2*q, -o - 1 = -2*q + p. Suppose -26 + 6 = -o*s. Calculate the greatest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 2*f - 5*f**2 - 2*f**2 + 3*f**2 + 3*f**2 + (3*f**2 - 3*f**2 - f**2)*(3 + 0 - 1) to q + s*f + b*f**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*49.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-24))\/(46\/276)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7109174 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 837 = 5*a, r - 4*r = a - 153. Suppose 225 = 8*q + 7*q. What is the highest common factor of q and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2*x - 0*x + 12, 0 = -2*h + x + 9. Let d(m) = 7*m - m**2 - 4*m + 0*m - m + h - m**3. Let t be d(0). Solve -3*y - 15 = -t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**3 + 3*q**2 - 1. Suppose 0 = -2*y - 1 + 13. Suppose -2*b + y + 18 = 0. Calculate the remainder when n(-2) is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1126261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -2. Let g(b) be the third derivative of -3*b**4\/8 - 3*b**3\/2 + 4*b**2. Let l(j) = -3*j + j - 4 - 2*j. Give q*g(s) - 7*l(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4827 and 217140986.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**2 + 1881451*z**5 + 206*z**4 + 2*z**6 - 1881452*z**5 + 0*z**2 - 35*z wrt z?\nAnswer: 240*z**3 - 60*z**2 + 4944*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -38*u**3 + u + 3 - 3 - 2*u**2 - 1. Let l be (1\/(-3))\/(6 + 175\/(-30)). Is t(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {x: 1, m: 4, n: 5, j: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2894, 2893, 2892, 2891, 2890?\nAnswer: 2889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-3))\/((-8)\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 317321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) 5069 (c) 131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 3282176*a + 673292455936.\nAnswer: 4*(a + 410272)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 5*a**2 + 5. Let r be u(5). Suppose 3*m = -r*x + 4*m + 34, -4*m - 34 = -3*x. Suppose -16 = -4*i - 0. Which is greater: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 23755467 + 47044578 = 0. Suppose 0 = -4*v - 5*m + n, -2*v - m = v - 17700003. What is v rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**4\/4 - 6*n. Suppose 0 = 4*r - 17 + 5. Let j(m) = -2*m + 0*m + r*m. Give j(k(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 22223331120233?\nAnswer: -22223331120300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3122\/3 - -1040. Let h = -0.9 - -1.2. What is the closest to r in -0.3, -2, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148 - -192. Let w = 0.0388 - -43.5612. Let m = h - w. Which is the smallest value? (a) m (b) 1 (c) 5 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04044175 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 x, and 1 y when four letters picked without replacement from ldixyxiiiiiidids?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/4 + 23 + -1584. What is z rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34041 (base 5) to base 2.\nAnswer: 100101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/7138 and -35\/332.\nAnswer: 14276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25896, -26113, -26342, -26589, -26860, -27161, -27498, -27877?\n\"Answer: -b**3 - 210*b - 25685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**5\/7 - 15636*j**4\/7 + 15083704*j**3\/7 + 383967720*j**2\/7 + 412623772*j + 802559604 = 0.\nAnswer: -11, -3, 1967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gglglgxxlggggglglgg. What is prob of picking 2 g and 2 l?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 8. Let r = -968984 + 968984.9999925. Let g = r - m. What is g rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from cccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16\/2536255 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 3*b**2 - b**2)*(-4 - 2 + 4) + b**2 + 3*b**2 - 2*b**2 + b**2 + 2*b**2 - 4*b**2 - 1 - 21*b + 5*b**2 - 16*b + 36*b.\nAnswer: 10*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 135*k**2 - 2*k + 4. Is p(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -80. What is the fourth smallest value in -1\/2, y, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/(-3))\/((-2)\/(-54)*-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18326 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-112 - (30 - 83))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2077649816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r + 20, -26 = -4*w - 2*r. Let i(v) = -2*v**2 + 3*v - 6. Let a be i(5). Let k be 12\/(-9)*4380\/1168. Put w, 1, a, k in ascending order.\nAnswer: a, k, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkpydnp. What is prob of picking 1 n and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174, 137, 88, 21, -70, -191?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-5))\/(3\/(-15)). Suppose -q + 3 = -r. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.144 in -0.1, -0.2, -3\/7, -4, 251?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 4*h**2 + h + 5. Let c be q(-4). Suppose 2232 = 26*f + 36*f. Suppose 0 = -6*m - 12*m + f. Solve -m*n - c = -5*i, 4*n - i - 1 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6061302 and 4446?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3 + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16a53 (base 11) to base 12.\nAnswer: 119b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -44 + 41, -5*c - 16 = -s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3283486433?\nAnswer: 661, 4967453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -73.52?\nAnswer: -5.1464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 87968.04us?\nAnswer: 87968040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -610266577?\nAnswer: -610266577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 - 2*s**2 - 3*s - 4. Let x(d) = -3*d**3 - 2*d**2 - 4*d - 5. Let t(o) = 11*o + 70. Let k be t(-6). Give k*r(a) - 3*x(a).\nAnswer: a**3 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -401513 rounded to the nearest one thousand?\nAnswer: -402000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/5, -0.063, 161\/3, -1\/9?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 13 = -2*i, 0 = 5*i - 0*i + l - 19. Suppose 0*j + i*j - 12 = 0. Differentiate 7*m**2 - 4*m**2 - 3*m**2 + 40*m**j - 26 wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**2 - 1\/2*h + 1\/2*h**5 - h**4 + 0*h**3 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0 = -9, 5*o - 5*w + 20 = 0. Let c = -4 - o. Sort 5, c, -2 in increasing order.\nAnswer: -2, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 279 - 557\/2. Which is the second smallest value? (a) -1 (b) -1\/4 (c) p (d) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 m when three letters picked without replacement from {m: 2, e: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 177 + 16. Suppose x = 3*p - 389. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -79 - -3?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1764)*3 - sqrt(1764)) + sqrt(1764))\/((sqrt(72) + (sqrt(72) - (sqrt(72) - (-1*sqrt(72) - sqrt(72)))))\/sqrt(6) + sqrt(192)*2 + sqrt(192)).\nAnswer: 21*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 468 + -25242.\nAnswer: -24774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (3 + (-5 - 14)) - -11) + -2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 325, 480, 621, 742?\nAnswer: 837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**9)*b**(-2\/47)\/b)**(-36\/5) assuming b is positive.\nAnswer: b**(16992\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 11*k + 893. Give g(-84).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.09806256 to 4 decimal places.\nAnswer: -4.0981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g = -15. Suppose -29 = -g*v + 3*j, 4*v - 3*j - 21 = v. Solve l**3 - 2*l**v - 2*l**3 + 2*l**2 + l**3 = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1549 - 1545. Let b(v) = -v**3 + 3*v**2 - 4*v + 5. Give b(m).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101 - 100. Does 19 divide v\/(-6) - 3425\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102999754?\nAnswer: 2, 11, 13, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**24*(l*l*l\/(l*l**(9\/10)))\/l*l**(-19)\/(l*l**(-4\/11)*l))**(-27) assuming l is positive.\nAnswer: l**(-10287\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (20*(-36)\/60)\/(4\/(-15))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9382422 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 h = 10 + -8. Let i = -162 - -160. Let z be 16\/40 - i\/(-5) - -5. Put h, 4, -3, z in decreasing order.\nAnswer: z, 4, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 + -62. Let q = 46 - r. Suppose 4*u = 2*p - 0*u - 22, 4*u + 16 = 0. Solve 0 = -g - p*g - q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-42)*41\/(-123)*-50.\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 839674643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4212165 and 1404055?\nAnswer: 4212165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -138955, -277908, -416859, -555808, -694755?\n\"Answer: c**2 - 138956*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3077000 to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 10*d**2 + 9*d - 24. Suppose -9*k = 139 - 40. Let v be x(k). Let t be 8*(2\/v - 141\/(-132)). Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -50, -37, -10, 37, 110, 215, 358, 545?\n\"Answer: f**3 + f**2 + 3*f - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50682228 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*12\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -668\/45 + 621\/40. Calculate the common denominator of r and (-6)\/(-10) - (-2265)\/100.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 59*j + 890. What is the smallest common multiple of a(-32) and 141?\nAnswer: 3666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 9. Give l(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 148356 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 745 - 274. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 22473 = -5*y, 13*u = 10*u + 12. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2493997438?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = x - 5*x + 438, -5*x = r - 75. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 15. Suppose 5*t = -3*m + 593, -t - 124 = -v*m + 254. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -21*q**2 - 3*q - 41. Let z(a) = -83*a**2 - 12*a - 150. Give 15*b(j) - 4*z(j).\nAnswer: 17*j**2 + 3*j - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**2 + 4*d - 4. Suppose -2*q - 1 = -7. Let z be l(q). Suppose 0 = -4*b + 28 + z. What is the smallest common multiple of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9}. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-4)\/(-6)))\/(-12 + (-1479)\/(-102)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-326*z + 171*z + 171*z - 207)*(-5*z + 4*z + 0*z)*(4*z - 2*z + 0*z) as t*z + s*z**3 + c*z**2 + h and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 3292?\nAnswer: 3292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 5*b + 4*b + 0*b in the form c + k*b and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8584*c = -47549 - 21123 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 14. Let s be k(0). Let l = 11 - s. Is -13\/4 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 5) + -2 + 6 + -91. Let j = z - -93. Calculate the lowest common multiple of j and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 18*c + 3893. Is t(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1330*j**5 - 20*j**3 + 757*j**2. Let t(b) = -1329*b**5 + 25*b**3 - 758*b**2. Let f(y) = -5*k(y) - 4*t(y). Find the third derivative of f(v) wrt v.\nAnswer: -80040*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**2 + 70*n - 31. Let u be l(15). Is u greater than -944\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 337 + 0?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -329?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86051, -86047, -86043, -86039?\nAnswer: -86035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 3*u - 4. Let r be (-52)\/(-14) - 2\/(-7). Let c be b(r). What is the third derivative of -3*p**3 + 0*p**3 + c*p**2 - 2*p**2 + 0*p**3 wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 35*q**2 - 36*q + 119. What is a(34)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 6:31 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 14*y**3 + 19*y - 7 - 13*y**3 - 6*y**2 - 25*y. Determine u(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 54931\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -21 + 108 + -202.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0110127443 to four decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**3\/3 - d**2 + 1. Let y be p(2). Let r = -11 - -11.3. What is the third smallest value in r, y, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 16*q**2 + 6. Let v be s(16). Suppose 2*i + 20 = v*i. Differentiate 3 + m**2 - i*m**2 + 1 - 2 wrt m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -155\/4 - -39. Let d = 0.2 + -0.16. Which is the closest to d? (a) -2\/3 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116573 + -51488. List the prime factors of z.\nAnswer: 3, 5, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/21*312\/2. Suppose b = 5*h + 432 + l, 0 = -2*b + 5*h + 1077. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 93*f + 2232. What is i(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 524707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 141136743?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 218134.5 months?\nAnswer: 18.177875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, d: 1, o: 4}. Give prob of picking 1 h and 1 o.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from kkykkkzykkkkkk?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 1:15 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4301757, 4301753, 4301749?\nAnswer: 4301745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 695*y**2 - 1900*y + 19040.\nAnswer: -5*(y - 4)*(y + 7)*(y + 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 13*c**2 + 12*c - 147. Let u be j(13). Let n = -603\/118 - -122011\/1062. Let t = n - 110. What is the third biggest value in -4, t, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8088 is divided by 226?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2285, 2283, 2287, 2303, 2337, 2395?\nAnswer: 2483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/2 + 3*u**2\/2 - 15*u\/2 + 9\/2.\nAnswer: 3*(u - 1)**2*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*v = -208*v - 14736 - 9114. Is v at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-20)\/(-5) + -10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*u + 1, 0 = -u - u + 2*f + 10. Find the second derivative of u*d + 49*d**3 - 45*d**3 + 2*d wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48)\/28 - (-3 - -1). Let y be (0 + 27\/6)\/(-6 + 3). Let k = 0.3 + -0.8. Which is the second biggest value? (a) y (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -20, -20 = -3*h + 2*g - 7*g. Is h\/(-5) - 11*-17 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d - 4*v + 128080, d + 17*v - 18*v = 16001. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*g + 61*g = 3*o - 13955, -2*o + 11166 = 4*g. Is 155 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/8? (a) 0.3 (b) -2\/13 (c) -164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 143576 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + -1 + (-870)\/160 and (-2)\/(8\/17) - -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = -3*b + g - 4, 4*g + 20 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 17 - 8 + p**2 - 11 + 6*p. Let z be n(-5). Which is bigger: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 18 = 3*l, 19 = -4*x - 4*l + 3*l. Let u(w) = w - 4*w + 0*w - 3. Is 6 a factor of u(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 47601830*k**2. Let o(l) = l. What is o(n(c))?\nAnswer: 47601830*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f - 113. Give b(0).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t - 3*t)*(7 - 3 - 1 - 4 - 1 + 6 + (-1 + 0 + 0)*(-1 + 2 + 0)) + (4 - 6 + 1)*(-5*t + 0*t + 3*t).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -339298150.93 take away -0.00301?\nAnswer: -339298150.92699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*x - 2*y - 18, -y + 33 = -4*x. Let v be (-16)\/x - (-4)\/(-14). What is the second derivative of -i**2 - 3*i - i**v + i wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhll when four letters picked without replacement from {l: 2, b: 3, h: 5, w: 4, f: 5, g: 1}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11405 (base 7) to base 3\nAnswer: 11001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + (-23)\/3)*(-10374)\/266. Suppose 0 = -u - 2 + 28. What is the highest common divisor of v and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 - 161923*d - 161306*d + 323229*d + 0 - 3 + 3.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 178*p - 1246. Let f be z(7). Find j such that 0*j + f + 1\/6*j**2 + 1\/6*j**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 8*k**2 + 11*k + 9. Let i be v(6). Suppose -i*h + 89 = -7. Calculate the smallest common multiple of h and 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10872795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7550 - 7539. Solve 4*n - v = 5*u - 0, 4*u = -5*n - 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807241051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-66) + ((-2)\/11)\/(-1). Suppose 5*q - 296 - 24 = a. Calculate the highest common factor of 576 and q.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0033133 rounded to 5 dps?\nAnswer: -0.00331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 384 - 383.9998694. What is v rounded to 6 decimal places?\nAnswer: 0.000131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 11100012120?\nAnswer: 11100012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 2\/85*i**5 + 0*i + 0*i**2 + 0*i**3 + 12 + 1\/34*i**4. Factor n(s).\nAnswer: 2*s**3*(s + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (6*(sqrt(700) - (sqrt(700) + 0)) + sqrt(700) + -3)*-3)*4 + -1)**2.\nAnswer: -5520*sqrt(7) + 101329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*l + 99*l - 20*l - 25*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-6 - (-2 + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 162*q*s**3*v**3 + q*s**2*v - 619*q*s*v**3 - 121*q*s*v**2 - 80*s**3*v**2 wrt v.\nAnswer: 972*q*s**3 - 3714*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -1\/4 (c) 142 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*p**2 - 14*p**2 + 1 - 1 to m + r*p**2 + i*p and give r.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 15*f**3 + 48*f**2 + 14*f + 42. Let g(j) = -8*j**3 - 24*j**2 - 8*j - 21. Let v(l) = -3*c(l) - 5*g(l). What is the second derivative of v(k) wrt k?\nAnswer: -30*k - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 182 = 13*j. Suppose 0 = 4*m + j - 22. What are the prime factors of (m - 0)*(-654)\/(-12)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.473898 milligrams in tonnes?\nAnswer: 0.000000008473898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 30, 79, 128, 165?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 29*w**2 + 39*w - 106. Suppose 102 = -0*k + 3*k + 5*v, 4*k - v - 113 = 0. List the prime factors of x(k).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*g**2 + 0*g - 3*g + 14*g**2.\nAnswer: 50*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -936 divided by -234\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2073 = 3*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 5*i. Let m = -3 + 5. Sort m, i, -3 in increasing order.\nAnswer: -3, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*y + 199 = -1868 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 398252970 by 15.\nAnswer: 26550198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a00 + -149?\nAnswer: -1049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 214*w - 1638. Give r(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 849*h**3 + 0*h**2 - 1227*h**3 + 1 - 7922*h**3 - h**2 as k + x*h**3 + n*h + q*h**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/7 + 268*b**4\/7 + 103298*b**3\/7 + 307988*b**2\/7 + 29280*b = 0. What is b?\nAnswer: -168, -2, -1, 0, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*a = 562 + 390 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -16 - -19) + -7 + (-188)\/(-20).\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 4*v + 1. Suppose -3*f - 2*g - 5 = 0, -60*g + 9 = -f - 57*g. Calculate i(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 974*w - 7112 = 14316 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1.2, -2, -2\/3, 403, -1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134776 and 272.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 114382.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -325644 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5916446707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 6*y, 0*y = -q + y - 4. Suppose -2*b + 17 = w + 2*w, -5*b = -5. Solve -5*z = -5*x - 10, x - 10 = -q*x - w*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -332788 divided by 1228\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 16 = -5*m, -10 = -5*f + 10. Let b be (-23)\/(-7) + m\/(-14). Suppose -b*g - 4*z = -8, -3*z - 4 = z. Solve 14 = n + g*w, -11 - 5 = -4*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**20*(b**(3\/2)*b)\/b)\/(b**(-6\/13)\/(b\/((b\/(b*b**(-14)*b))\/b))))**(1\/41) assuming b is positive.\nAnswer: b**(285\/1066)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - -28. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 3*m + 10. Let a(t) = -21*t**2 + 16*t**m - 15*t**2. Let v(o) = -8*o - 14. Let p(d) = 3*d + 5. Let h(z) = -14*p(z) - 5*v(z). Give a(h(g)).\nAnswer: -80*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 + 2 + 3*t + 5*t**2 - 225*t**3 - 49*t**3. Is a(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o + 4. Let a = 25 + -11. Suppose a = 4*y + 2. What is the units digit of z(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2755?\nAnswer: -1\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2 - -5))\/(84130\/386998).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -131 + 11*c + 5\/3*c**3 + 2*c**4 + 0*c**2. What is the first derivative of i(n) wrt n?\nAnswer: 24*n**2 + 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -227.\nAnswer: 22\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m**3 - 56*m**2 + 24*m - 51. Let n(o) = 3*o**3 - 19*o**2 + 8*o - 17. Let d(t) = 4*g(t) - 11*n(t). Is d(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2 = -2*f, 25 = y + 4*y + 5*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.223 + -2.603. Let h = 0.62 - j. What is the biggest value in h, 5, 2.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, d: 1, c: 1}. Give prob of sequence dj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 855075965?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 11*r. Let g(l) = -l - 6*l + 6*l. Determine a(g(h)).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002615 to 4 dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6.6, 0, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 262560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48622727 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-2*1)\/(sqrt(24)\/(sqrt(6) - sqrt(54)\/(sqrt(36)\/sqrt(4) + sqrt(9)))) + -5.\nAnswer: -3*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/8*4 + -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 3*b + 4*b)*(-5 + 2*b**3 + 4 - 4498*b + 4495*b).\nAnswer: 2*b**4 - 3*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/20)\/(3114\/5190)*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 36 = -0*a. Let y be -2 + 80\/a - (-2)\/(-9). Let u = -5 - -8. Sort u, 1, -1, y in decreasing order.\nAnswer: u, 1, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*r + 376 = -45*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + y = -y + 14, 5*n = 5*y - 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + ((-38)\/(-10) - 44\/55)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2741301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - -11103420133?\nAnswer: 11103420113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 6 - 14 = 0. Suppose 8*j - 10*j = -y. Let l(c) = c**3 - 6*c**2 - 6*c - 2. Let d be l(7). Put j, 0, d in decreasing order.\nAnswer: d, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 + -2 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4107*q**2 + 13*q + 89. Is u(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**2. Let o(t) = -3*t**2 + 6*t - 6. Let r(i) = 2*i**2 - 5*i + 5. Let n(c) = 5*o(c) + 6*r(c). Give v(n(l)).\nAnswer: 45*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 1. Suppose -2*d - 4 + 41 = 5*f, 0 = -2*d + 4*f + 46. Suppose 3*j - 2*y = -5*y + d, 0 = 2*j + 3*y - 18. What is the units digit of v(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/10 and (-146)\/24 - 1\/4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 4*l - 3*l + (0*l - 6*l - l)*(-1 + 0 - 1) + 5 - l - 5 + (-2*l + 2*l - 2*l)*(-5 - 1 + 5) + 125741 - 125741 + 3314*l to v*l + o and give v.\nAnswer: 3328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/s**0)\/s))**(-19\/2)*(s\/(s**(3\/5)*s))\/(s*s\/(s*s\/(s**(-2\/11)*s*s))))\/((s**(-11\/4)\/s*s)\/(s*s*s**12))**(-25) assuming s is positive.\nAnswer: s**(-94747\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhzh when four letters picked without replacement from {i: 2, j: 3, h: 9, z: 4}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*(-5 + sqrt(12)\/sqrt(4)) + sqrt(3) + sqrt(27)\/sqrt(36) + 1*sqrt(192))**2 + 4 + -1.\nAnswer: 225*sqrt(3) + 2775\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9288, -38129, -86170, -153411?\n\"Answer: -9600*c**2 - 41*c + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 690 and 713?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 3*f**2 - 6*f + 5. Let c be m(6). Suppose -4*v + 656 = 12*v. Let z = c - v. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139662880 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/11 and (-628)\/(-1986) - -5*(-6)\/90.\nAnswer: 10923","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.06, 4, -0.52, -0.07?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-350 + 350 - 25*x)*(-2*x**3 + 11*x**3 + 5*x**2 + 346*x - 348*x).\nAnswer: -225*x**4 - 125*x**3 + 50*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-22)*3\/(-12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, h: 4}. What is prob of picking 2 h?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -490*n - 10604. Give g(-25).\nAnswer: 1646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 7*h**2 - 5*h + 14. Suppose 5 + 79 = 7*g. Let d = g + -4. What is the units digit of l(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 60*x + 907. What is c(35)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5803 + 0.0313. Let r = v - -0.849. Put 0.1, 0.5, -2\/3, r in increasing order.\nAnswer: -2\/3, 0.1, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/126 + 73\/(-342) and -46\/9?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22210266971.35+1.54\nAnswer: 22210266972.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z. Let t(r) = 27962 - 13977 - 13985 - 631*r. Calculate d(t(y)).\nAnswer: -3786*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 342 + 187. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 378 = -2*c, -4*m - 2*c + 646 = m. What is the highest common factor of 192 and m?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a3d1 (base 14) in base 16?\nAnswer: 6e33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 14) to base 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = w + w, 0 = 6*d - 11*d + 10*d + 4*w + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48800 is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 20*a + 151082 = m, -3*m = -2*a + 302149. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65477.38 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25975, -51963, -77959, -103963, -129975, -155995, -182023?\n\"Answer: -4*o**2 - 25976*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5\/3 + 1720*j**4\/3 - 30824*j**3\/3 - 170224*j**2\/3 + 121284*j + 378120 = 0.\nAnswer: -5, -2, 3, 23, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**5 + 56*n**4 - 284*n**3 + 664*n**2 - 720*n + 288 = 0. What is n?\nAnswer: 1, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 730, 1625, 2878, 4495?\nAnswer: 6482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*l = -2*d + 60, 3*d = -l + 24. Let y = -3 + 6. Calculate the remainder when d is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42540*w**3 - 42537*w**2 - 3*w.\nAnswer: 3*w*(w - 1)*(14180*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 775207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c + 5*n = -1183, 3 = 3*n. Calculate the remainder when c is divided by 15*((-18)\/(-6) + 1).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 - -119. Suppose 4*l = 11 + j. Let g = l + -12. Is g at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -6\/13, -4, 1, 8, -5, 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 8 + 18. Let f = 2 + z. Solve -f = -4*a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13786\/1869 - 648\/89. Let 0*o - 2\/7*o**2 + x*o**5 + 2\/7*o**4 - 2\/21*o**3 + 0 = 0. Calculate o.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - r**3 + 2*r**2)*(-22*r + 15*r + 6*r - 7*r**2).\nAnswer: 7*r**5 + r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) 2\/305 (c) 0.6 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**3 - 6*a - 8. Let l(s) = s**3 - 3*s**2 - 3*s - 3. Let n be l(4). Let t(i) = -i**3 - i - 1. What is n*u(y) - 6*t(y)?\nAnswer: y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6555*u + 281942 = -956*u - 167162 + 1184 for u.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -4, -212\/87, 2, -5.\nAnswer: -5, -4, -212\/87, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -44 - (-7 - -4) - -78\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8898.\nAnswer: 2, 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 407, -3, 3, -20.\nAnswer: -20, -3, 1\/2, 3, 407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8025, -8080, -8135, -8190, -8245?\nAnswer: -8300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6555766 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1040787, 2081473, 3122159, 4162845?\n\"Answer: 1040686*h + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20042 + 114313?\nAnswer: 54231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -104 + 10. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3650 by 730.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 3749*x**6\/10 + 1001*x**3\/3 + 1945*x + 1. Find the second derivative of c(g) wrt g.\nAnswer: 134964*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321925943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -3\/8, 5, -2, 41431, 4, 1\/2?\nAnswer: 41431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 14. Suppose a*n + 1758 = 6*n. Let j = -3551\/4 + n. Calculate the common denominator of 43\/22 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*n**5 - n**3 - 36*n**2 - n wrt n?\nAnswer: 720*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311270, 622467, 933660, 1244849?\nAnswer: 1556034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1085*x**2 - 539*x**2 - 547*x**2 - 34813*x**3.\nAnswer: -34813*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15612, -31226, -46840?\nAnswer: -62454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r + r - 31*r**2 + 32*r**2 - 5. What are the prime factors of p(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 1 - -58)\/1. Suppose 89*s - 7852 = -2601. Let q = s - b. Solve 4*o - 5*i + 2 + q = 0, -5*i + 6 = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*h - 33*h - 1056 = 43*h. Calculate the lowest common multiple of 21 and h.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**7*g\/g**(-4\/5)*g)\/(g**14\/(g*(g\/(g*(g\/(g*g*g*g**(-1\/7)*g))\/g)*g)\/g)) assuming g is positive.\nAnswer: g**(-432\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/35, -1\/2, 0.5, 0 in descending order.\nAnswer: 0.5, 0, -1\/35, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5)\/x)**(3\/2)*(x\/(x\/(x**(1\/2)\/x)*x))\/((x**(-3\/10)\/x*x)\/x))**(-41) assuming x is positive.\nAnswer: x**(943\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) + (-112742)\/(-70). Suppose 5*y = 2*y + k. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-357)*1050\/(-14025)*11?\nAnswer: -2\/289","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214618?\nAnswer: 2, 107309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/962 and 21\/321863.\nAnswer: 8368438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0, -1\/439, 18, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2386.4227 plus 3.86?\nAnswer: -2382.5627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {z: 6, x: 2, h: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26272840 by 5254568.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 115*x**2 + x. Let s(p) be the first derivative of -p**6\/360 + 2*p**3\/3 + 33*p + 216. Let v(d) be the third derivative of s(d). Calculate v(j(n)).\nAnswer: -13225*n**4 - 230*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**(-2\/15)*g)\/g)**(-8\/9)*((g**26*g)\/g)\/(g*g*g**6*g*g) assuming g is positive.\nAnswer: g**(1936\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/26669 - -53398\/400035. Let p = 2 - -1. Which is the closest to -2\/5? (a) p (b) g (c) 5 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 5*h - 5*g, 0 = -2*h + 5*g - 364 + 322. Let c = -0.11 - -0.1. What is the biggest value in h, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 + 501 = -152*u + 2197 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*h - 24*h**2 + 2*h**3 - 14 - 4 - 8 - h**3 + 0*h**3.\nAnswer: (h - 26)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80861.093 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 0*j - 3*j - 15, -28 = -4*w - 4*j. Let p be (-2)\/w + 452\/9. Let k = p - 49. Solve 0*b = -b + k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(-46)*7*25\/(1050\/(-1044))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167628 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*p - 76*p + 5*x = -19, 2*p - 2*x + 2 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 989812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5880 = 140*r - 379*r - 496*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - h - 2*h + (1 - h - 1)*(5 - 3 - 1) - 4*h + 3*h - h - 1 + 1 + h + 3*h - 3*h + 3*h + (-4*h + 4*h - 4*h)*(-196 - 113 - 145).\nAnswer: 1815*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1200101 - 301201?\nAnswer: -2001302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32928627*c**3 - 16464317*c**3 - 16464312*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f**2 - f - 3. Give y(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 13*n**2 - n. Let v be g(1). Let d(p) = -30*p**2 + p - 4. Let r be d(3). Let a = -175 - r. What is the greatest common divisor of v and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 14\/(-10) + 1 - 20232\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 + 95. Let j be 1*(-4)\/(-1 + -1). Let a be j + (1 + -1 - 0). What is the highest common factor of a and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 - 78. Put 2, -0.4, 0.07, r in ascending order.\nAnswer: r, -0.4, 0.07, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y**4 + 4\/11*y**3 + 0 - 80\/11*y**2 + 0*y + 30\/11*y**5 = 0. What is y?\nAnswer: -5, -4\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2552 (base 6) to base 12\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 267032\/(-13812) - 3608\/(-186)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 2\/6)*30. Suppose 4*y - 46 - m = 2*z, -4*z = -3*y + 37. Suppose 2*c + 1 - y = 0. What is the greatest common factor of 28 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(r - 2*r + 2*r) + 2 - 2 + r + 0 + r + 0 + 0 + 0 - r + 3*r - 2*r - 2*r + 126*r + 108*r - 136*r.\nAnswer: 100*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 11 + 2 = 0, 5*b - r + 22 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = 0. Let n be 1 - 9 - (11 - (3 - (-1606)\/99)). Which is the third biggest value? (a) 0.3 (b) 1\/11 (c) m (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2718980488 to the nearest integer?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 4*k**2 - k**2 - 3*k**2 + 5*k**2 + 0*k**2 + (-3*k + k + 3*k)*(2*k + 0*k - k))*(1 - 1 + 1)*(-5*k + 2*k + 4*k).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 178.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**8\/1176 + l**6\/210 - l**4\/84 - 7*l**2 - 1. Let i(y) be the second derivative of n(y). Factor i(g).\nAnswer: -2*g*(g - 1)**2*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvvdvvdv. Give prob of picking 2 v.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 50. Let u be (-1808)\/(-28) - x\/(-7). Suppose 422 = r - u. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122982, 122953, 122910, 122859, 122806?\nAnswer: 122757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 2:54 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871304 is divided by 175?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = -80 + 14 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.52 + 8.64. Let s = 95.82 + -97. Let d = s - f. Round d to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*m - 251*m - 251*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-754)\/(-28) - (-18)\/252. What is the highest common factor of b and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 - 2756880*h**3 - 474993881752*h**2 + 10450866167280*h - 57481598682244.\nAnswer: -4*(h - 11)**2*(h + 344621)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 11*l**2 + 146*l + 34. Let n be x(-13). What is the third biggest value in 2, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1844*h**2 + 228654*h - 102. Determine w(-124).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17393 - 17388. Let v = 5 + -6. Which is the nearest to v? (a) y (b) 13 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/150 and 103\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5 = 3*w. Let x(p) = -w*p**2 - 6 + 3 + 0*p**3 - 6*p**3 + 5*p**3 + 6*p. Determine x(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/20424 and -145\/2664.\nAnswer: 61272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 1.555?\nAnswer: 12.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**8\/224 - 3*o**6\/80 - o**5\/20 + 4*o**2. Factor z(b).\nAnswer: 3*b**2*(b - 2)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4)*(2 + -2). Let q be k + (-10)\/(-6) - 2. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4*c - 3 - 3*c)*(8 + 9 + 14 + (0 + 1 - 3)*(-6 + 4 + 4))*(-325 - 1127 + 296) in the form l*c + k and give l.\nAnswer: -31212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10.5 (b) -0.4 (c) -0.5 (d) -5 (e) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 864 + -444. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -5*a + 20. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - 1.3. Is v at least -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2617, 2791, 3077, 3475, 3985, 4607, 5341?\nAnswer: 6187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(18)*1 + sqrt(18))*-4)\/sqrt(9).\nAnswer: -32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/2 (b) 11051 (c) -1.2 (d) -1 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by -2.\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 5*v + 674. Suppose -2595 = 4*k - k. Let o = v - k. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/7))**3\/(z**(-2)\/z*z)**(-28) assuming z is positive.\nAnswer: z**(-389\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -12*q**3 - 83*q**2 + 1279*q - 8. Let g(b) = -b**3 + 2*b**2 - b - 1. Let j(d) = -8*g(d) + t(d). Find the second derivative of j(c) wrt c.\nAnswer: -24*c - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 8) to base 11.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67.8 - 68.3. Which is the closest to -1.8? (a) 10 (b) 2\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -16. Suppose 12 = 3*y - m - m, -4*m = y + r. Solve -14 = -4*c - y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -19. Suppose 9 = 5*w - y. Suppose 20 = -20*m + 80. Sort m, w, 4.\nAnswer: m, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 43*r + 17. Let h(o) = -8*o - 1. Let t(f) = 5*h(f) + x(f). Determine t(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.016, 2\/11, 34, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 6)*(-15 - 6 - 14)*(0*p**2 - p**4 + 0*p**2).\nAnswer: 35*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 11:00 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 - 7065*f\/2 - 77957.\nAnswer: (f - 7087)*(f + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, j: 1, t: 7}. Give prob of picking 1 t and 1 w.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 b when three letters picked without replacement from {b: 6, y: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135662, -271377, -407092, -542807, -678522?\nAnswer: -814237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12 + 14 - 3295\/(-7 + 2). Which is greater: 662 or j?\nAnswer: 662","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - -83. Is 18 a factor of (-4)\/6 + g\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(1\/16))\/z)\/z)\/(z\/z**(1\/14)))\/(z\/z**(2\/5))**(-4) assuming z is positive.\nAnswer: z**(229\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -205443?\nAnswer: -205450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002 (base 5) to base 6.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**3 + 0 - 224*y**2 + 1\/24*y**4 + 0*y. Determine s(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 + 6\/(-8))*(-30056)\/221 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5390*m**3 + 76*m**2 + 7. Let g(s) = 2695*s**3 - 44*s**2 - 4. Calculate 4*b(f) + 7*g(f).\nAnswer: -2695*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.99702072 to 2 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4\/2 - 129*b**3\/2 + 66*b**2.\nAnswer: -3*b**2*(b - 1)*(b + 44)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(3\/2)*(a*a\/(a\/a**(-8))*a*a)\/a)**(-2\/17))**(-4\/7))**(-10\/9) assuming a is positive.\nAnswer: a**(40\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8897946.\nAnswer: 2, 3, 47, 139, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 556978*l\/3 - 77556123121\/3.\nAnswer: -(l + 278489)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (80\/50)\/(4\/10). Find the first derivative of -n + w*n + 3*n + 0*n + 5 wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-174)\/261*180\/75?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpbzgll. What is prob of sequence zb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 62839, 63343, 63847, 64351, 64855?\n\"Answer: 504*j + 62335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 448093291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/((c*(c\/c**(1\/47))\/c)\/c))\/(((c\/(c*c\/(c*c**(-7)*c*c))*c)\/c)\/c)*(c\/c**35)**14)**49 assuming c is positive.\nAnswer: c**(-1077755\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 0*v**2 + 9 + 7*v**2.\nAnswer: 9*v**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3601.634895 to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 24*y**2 + 9*y - 19. Let n(g) = 25*g**2 + 12*g - 25. Let f(u) = 4*k(u) - 3*n(u). Suppose -w + 0 = 1. Let l be f(w). Solve l = -3*a - a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -19.013. Round w to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3 - (23 + -36 - (-2 + -18))) + 46.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - d + 11. Let r(w) = 6*w + 9. Calculate the remainder when r(d) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113626 is divided by 207.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.168575 millilitres to litres.\nAnswer: 0.003168575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 392 and 18.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38865 + 59590 = -60*k - 188405. Is -4779 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 3. Let c be h(7). Suppose -y + c = y. Suppose m - y*i = -m + 34, -m - i = -23. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*l = -139, -2*l + 130 = 5*w + 3*l. Let s = 65 - w. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000707909 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 989*o**2 - 13*o + 18. List the prime factors of f(3).\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**4\/8 - 5*z**3\/6 + 4*z**2. Let k be (-6 - (-3 + 2))\/1. Is 9 a factor of y(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a061 (base 13) in base 3?\nAnswer: 211212220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 - 41. Suppose 3*z + 100 = 7*z. Suppose -3*j + 20 = l - 24, -z = -5*l. What is the remainder when p is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 798 and 62358.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/5)*((a**(-6)*a*a)\/a)\/a)**(-2\/15) assuming a is positive.\nAnswer: a**(68\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.052, 0.3, -2, 210 in descending order.\nAnswer: 210, 0.3, -0.052, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2075527 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -742, -1209, -1708, -2239?\nAnswer: -2802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47283b0 - 0?\nAnswer: -47283b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1 + 10*j**2 - 5*j**2 - j**2 - 4*j**2 - 6*j**2. Let q = 0 + 1. Give c(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 297507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/32*80\/60. Put 4, 3\/4, a in descending order.\nAnswer: 4, 3\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/((-1190)\/(-15)))\/((-28)\/1470).\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.3. Let l = 99.5 - 99. Let p = 41.8 + -42. What is the nearest to v in 4, l, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 615 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.4 (b) -0.7 (c) -1 (d) -265 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5)\/q**4)**12 assuming q is positive.\nAnswer: q**(-264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 59. Let k be (-6)\/(-39) - (1 - 0 - t). Let z = -888.4 - -888. What is the nearest to -1 in z, -0.1, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-949)\/(2776774\/(-42636))*4\/2*14\/(-4).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.5 - -18. Sort 2, y, -3\/7 in descending order.\nAnswer: 2, -3\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 2*n - 7*n. Let s(u) be the third derivative of -5*u**4\/24 + 7*u**2. Give o(s(c)).\nAnswer: 35*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 330, 4 in ascending order.\nAnswer: 3, 4, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/11*(-25)\/(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103004 is divided by 80.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-824)\/5150)\/(4\/(-10))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 10*a**2 - 15*a + 1. Calculate c(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4100661 (base 7) in base 13?\nAnswer: -141006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 737614, 1475226, 2212838, 2950450, 3688062, 4425674?\n\"Answer: 737612*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5532 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848*s**2 - 39*s - 50*s + 157*s - 33*s - 35*s.\nAnswer: -848*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbrq when four letters picked without replacement from rpqsb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 + 1366*a**2 + 2*a - 2. Let r(d) = -4*d**3 + 1366*d**2 + 2*d - 3. Calculate -3*b(q) + 2*r(q).\nAnswer: -2*q**3 - 1366*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 2*d**2 - 2. Let g be y(2). Solve -7*j = -g*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 109872 and 19184.\nAnswer: 1208592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*s**2 + 3*s**2 + 3*s**5 - 2*s**2 + 2*s**2 wrt s.\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 859311 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 0)\/(-2 + 4). Let a(c) be the third derivative of c**6\/120 + 2*c**5\/15 + c**4\/24 + 11*c**3\/6 - 4*c**2. Let d be a(-8). Solve 2*q + d*q = u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -29. Let w(a) = 2*a + 10. Give w(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1284 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(-4)\/(-48) + 44\/6. Solve 25 = 12*y - z*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 = -5. Is 5\/2 - p\/2 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 7*k - 6. Let v be (18\/4)\/((-3)\/4). Give b(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -31. Let z(t) = t - 1. Let l be z(-1). Let j = l - 1. What is the second biggest value in 0.5, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/30 - 229*n**4\/6 - 153*n**3 - 231*n**2. Factor h(w).\nAnswer: 2*(w - 459)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*t - 12102 = -10842 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + ((sqrt(13) - sqrt(1872)*-4) + -3*sqrt(13)*4)**2*1.\nAnswer: 17795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - -1) + 35 + (66 - 98).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 25 - (352 - 317)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2979475, 5959121, 8938767?\n\"Answer: 2979646*o - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 850632083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/41))\/l*l\/(l**(-1\/10)\/l) assuming l is positive.\nAnswer: l**(841\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*k - 13*k + 154*k**4 + (2*k + k - 4*k)*(5*k**3 - 4*k**3 + k**3) - 2*k**4 + 0*k**4 + 3*k**4.\nAnswer: 153*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8180388*i**4 - 153131*i**2 - 6 wrt i?\nAnswer: 196329312*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -904 + 952. What is the remainder when 138 is divided by w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 0*r + 3*r)*(-9*r**2 - 96*r + 96*r) in the form b*r + m*r**2 + t + v*r**3 and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 7*x**3 + 50*x**2 - 3*x. List the prime factors of k(19).\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.06 or -1266.7236?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*q + 134 + 946 = -20*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87948*j**2 - 208233*j wrt j?\nAnswer: -175896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/308*(-56)\/(-336).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 + 2. Let b be ((-497)\/28 - -11) + 7. What is the third smallest value in -3, b, y, -27?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 10*m - 4. Let w = m - -3. Suppose 220 = -w*i + 9*i. Is 23 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*s**3 - 731*s**3 + 237*s**3 + 243*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 6\/5, 60, -25, -0.3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -9 - 5 - (-1 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 4*y**5\/5 - 2*y**4 - y**3 + 5*y**2\/2 + 2*y - 481. Factor a(o).\nAnswer: (o - 2)*(o - 1)*(2*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j - 11 = -3*d - 16*j, 5*d - 3*j - 25 = 0. Let a(q) = -16*q**2 - 18*q**2 + 53*q**2 - 16*q**d. Let h(y) = -213*y - 2. Determine a(h(s)).\nAnswer: 136107*s**2 + 2556*s + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.5*6687.\nAnswer: -23404.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 (base 13) in base 8?\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**3 - 4*b**2 - 3*b + 5. Let y(u) = 3*u**2 - 7*u - 2. Let t(l) = 5*r(l) - 6*y(l). Let o = 334 - 332. Determine t(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 14*x + 9. Let o(a) = -24*a**2 - 432*a + 8. Let b be o(-18). Let m(v) = -9*v - 6. What is b*m(i) + 5*l(i)?\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 47*q = -13*q - 119 - 686 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -236, -96.\nAnswer: -236, -96, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 734 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1072*l + 9651. Let v be q(9). Solve -44*n - 2 = -41*n - 4*s, -2*s = -v*n - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 + 19. Suppose 5*m - c = 14. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 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: Express -5*q**3 + 80519*q + 15*q**3 - 80421*q as c*q**2 + k + x*q + r*q**3 and give x.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0*d - 1\/6*d**4 + 0*d**3 + 0 + 49*d**2. Let z(n) = 39*n. Calculate b(z(u)).\nAnswer: -156*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17401*a**3*x**5 - 3*a**3*x - 2*a*x**5 - 34795*x wrt x.\nAnswer: -348020*a**3*x**3 - 40*a*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.297 rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8678a (base 13) in base 2?\nAnswer: -1111000101110010111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g + 2*g + 47515 = 669955. Is 28 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2781546?\nAnswer: 2, 3, 53, 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12*t - 270. Let a(z) = -z + 27. Calculate the remainder when v(-24) is divided by a(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19826730*x**2 + 31742488*x wrt x.\nAnswer: 39653460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - 2 + 2)*(-12 - 19 + 12).\nAnswer: 38*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0 = -8. Suppose -3*d + 6 = 0, 0 = -4*p - i*d - 0*d + 1808. Suppose 7*h = 54 + p. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3034 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -78314 (base 13) in base 4?\nAnswer: -311032223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.687*-1.1.\nAnswer: 11.7557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 41, 68, 95, 122, 149, 176?\n\"Answer: 27*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31602 + -21019. What is m rounded to the nearest 100?\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 84.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*p + 1356*p - 1253*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57303.37 centuries?\nAnswer: 5730337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -25*m**4\/3 - 115*m**2\/2 + 2*m + 129. Differentiate o(v) with respect to v.\nAnswer: -200*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-2 - -2) - (-224 + 225).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22957345\/4 or 5739335?\nAnswer: 5739335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*sqrt(102)*-2 - -2*sqrt(102)*4)\/(sqrt(36)\/(-5*sqrt(6)*-1)).\nAnswer: -80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s - 2*s - 14*s)*(1 + 0 + 2)*(-9*s + 0 + 0) as b + d*s**2 + m*s and give d.\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: c70b (base 13) to base 15\nAnswer: 8273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 0*n + 8 + 16\/85*n**5 + 0*n**2 + 5\/17*n**4 + 2\/17*n**3. Determine q so that r(q) = 0.\nAnswer: -3\/4, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*f**5 - 16*f**4 - 5*f**2 - 10947*f - 2 wrt f.\nAnswer: 220*f**3 - 192*f**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(72))**2 + -3.\nAnswer: 36*sqrt(2) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 2*s + 25, 34 - 39 = -c - s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70611?\nAnswer: 3, 23537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*y + 5, -5*n + y = -y - 11. Let o(d) = -2*d + 8. Let c be o(n). Suppose c*k + 0*k = -3*a + 45, -5*a = -4*k + 123. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*h + 34 = 0, 14*h = a + 17*h - 18. Suppose -a*v = -5*y - 0*y + 16, 3*v = -5*y + 34. Solve 1 = y*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250818 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/65? (a) 44 (b) 7 (c) 5 (d) -20\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -18*t**2 + 24*t**3 + 7*t + 10*t - 13*t - 10*t**4 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h. Let a(y) = -11*y + 11. Let l(r) = 5*r - 6. Let j(x) = 6*a(x) + 11*l(x). Give m(j(k)).\nAnswer: -66*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-16))\/(78\/(-624)). Solve 0 = -v*p - 5*w + 5, 3*p - 18 = 3*w + 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 3. Let w be 34\/85 + (-5)\/(1450\/136). Let x = w - 83\/58. Which is the nearest to g? (a) x (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17)*-3)**2)*-5 - (-1*sqrt(2448) - sqrt(2448)).\nAnswer: 19*sqrt(17) + 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, j: 3}. What is prob of sequence nj?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.5751788 rounded to two decimal places?\nAnswer: -41.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 249 - 377. Let h = o + 421. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1191 (base 14) to base 13\nAnswer: 151c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 286, -4, 5, 6980 in decreasing order.\nAnswer: 6980, 286, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*p. Solve -a = -p*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l - 10*l + 0*l)*(-278*l + 700*l - 5 + 17 - 351*l) as g + z*l + q*l**2 and give q.\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1765505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2 - t - 1. Give s(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 > 1418\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 260, 259, 256, 251, 244?\n\"Answer: -n**2 + 2*n + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20150, -40375, -60604, -80843, -101098, -121375, -141680?\n\"Answer: -j**3 + 4*j**2 - 20230*j + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8)\/((-360)\/64)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*r = 815, 13*k - 3*r = 15*k - 341. Suppose 5*q - 186 = -k. Solve -4*v + v = 3*l - 3, 4*v - q = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1129 - -1140. What is the third smallest value in 0.1, -0.2, -5, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (1 - -18 - 15 - (1 - -3))) + -97.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/114 and ((-2)\/(16\/129))\/((-12)\/8).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 + -414 - (-16 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 1, 7382, -4 in ascending order.\nAnswer: -4, -2, -1, 1, 7382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(5*n - 2*n + 0*n)*(-2 - 1 - 1) in the form z + y*n and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3141714779 to the power of 1\/2, to the nearest integer?\nAnswer: 56051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 317 - 149*j**4 - 103 + 18*j**4 wrt j.\nAnswer: -524*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - (0 + 4)) + 49. Let r = 55 - h. What is the tens digit of -2 - (-165 + r + 1 + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38759 (base 15) to base 6.\nAnswer: -3511450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (4 + -1)) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 w when four letters picked without replacement from {x: 11, y: 7, w: 2}.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*l + 35 = -268*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - 5014526?\nAnswer: -5014544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = 5*t - 11. Solve -5*o = t - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -l - 392, -404 = -2*c + 142*l - 144*l. What is the highest common factor of c and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 522, 1651, 2780, 3909, 5038, 6167?\nAnswer: 7296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 5, 7, 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12634 and 3.\nAnswer: 37902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 139*y + 846. Let v be z(-6). What is the greatest common factor of v and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*h + 1 = 0, -a + 83*h + 9 = 86*h. Solve 0 = -2*m + 4*b, -4*m + 24 = a*b + b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzk when three letters picked without replacement from {z: 17, k: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1182 by 59930.\nAnswer: 591\/29965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -61\/5664?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 5:26 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -66*h + 522. Let g be p(8). Which is the second biggest value? (a) g (b) -0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4*h + 48, i - 2*i + 9 = -2*h. Suppose -5*o + 380 = -i. Let y be 1\/(-2) - o\/(-166). Is 1 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 431307032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b + 8921 = -124. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(285 + 268 - 553 - 1826*o**4).\nAnswer: 3652*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32465841.\nAnswer: 3, 10821947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r. Let p(m) be the third derivative of -m**6\/360 - 11*m**3\/3 + 25*m**2. Let a(g) be the first derivative of p(g). Calculate v(a(k)).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7.3 (b) -1.37 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**5 - 1 + 3 + 0 - 5*n**5 + 4*n**5 - 2*n**5 + (n**2 + 2*n**4 - n**2)*(n - 1 + 1).\nAnswer: -4*n**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14589288.\nAnswer: 2, 3, 7, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1671767996)\/14 + (-794)\/2779. What is j rounded to the nearest one million?\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (750\/90 - 15)*3\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305 (base 7) in base 16?\nAnswer: 1ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -5, -0.3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103596, 414381, 932358, 1657527, 2589888?\nAnswer: 3729441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-113)\/(18306\/(-756))*9\/12?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 7. Suppose 2*o - 3*r - 27 = -5, -p*o + 9 = 4*r. Calculate the remainder when 14 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -863 + 864. What is the biggest value in d, 4\/5, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*v + a, -6*v - 9 = 3*a - 2*a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -840682 to the nearest ten thousand.\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(2\/3)))\/(o\/(o**(-10)*o))*((o**2*o)\/o)**46 assuming o is positive.\nAnswer: o**(248\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - -3348)*((-3)\/5)\/((-10)\/50).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 24. Let r be 2\/(-12) + (-219)\/t. Suppose -2*b + 2 - r = 0, -2*o + b + 145 = 0. Calculate the highest common divisor of 28 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*t + 42580, -4*z + 51835 = t + 17736. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -317.908 + 318. Sort a, 0.4, -2 in decreasing order.\nAnswer: 0.4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -170, -703, -1592, -2837, -4438?\n\"Answer: -178*b**2 + b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.28*-5.3.\nAnswer: 22.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.64 + 4.36. What is the nearest to -0.1 in -3\/4, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 10*b**2 - 1. Is v(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/39*38\/152?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 614*b**4 - 320*b**4 - 7*b - 324*b**4 + 4*b**2 - 2*b**3 - 3*b**2 + 28*b in the form q*b**4 + p*b**3 + l + x*b**2 + u*b and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 30 + 35 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(3\/8))**(-2\/121) assuming r is positive.\nAnswer: r**(-19\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.3 times -14170.4?\nAnswer: -2724967.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-711)\/(-81) + 2\/9. Suppose -2*c = c + m. Put 3\/8, -4\/7, c in increasing order.\nAnswer: c, -4\/7, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.872 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*w**2*y**3 + w**2*y**2 - 457*w**2*y + 121*w*y - 2*y**3 wrt y?\nAnswer: -486*w**2*y + 2*w**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/3))**(-2\/73)*((c\/((c\/c**(-3)*c)\/c))\/c)\/c*c*c**(2\/9)*((c*c**0)\/c)**35\/(c**(-2\/5)*c**(-2\/5)) assuming c is positive.\nAnswer: c**(-9902\/3285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 139187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/3 - 3558422*j\/3 - 3558428 = 0.\nAnswer: -3, 1779214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 196 = f, -2*o = -5*f - 3*o + 938. What is the least common multiple of 420 and f?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.39 - -350.61. Let f = r - 359.614. What is f rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74835833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, a: 1, o: 4, z: 2, r: 1, f: 1}. What is prob of picking 2 j and 1 z?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -93*m**2 + 5*m + 9. Let u(q) = -140*q**2 + 7*q + 13. What is -7*t(j) + 5*u(j)?\nAnswer: -49*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 5. Suppose -a = -0*d - d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/19)*h**(-24))\/((h\/(h\/(h*h**(-3\/19)\/h)*h))\/(h**(-11)*h)) assuming h is positive.\nAnswer: h**(-603\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -557*d**2 + 190*d**2 + 267*d**2 as z*d**2 + r*d + q and give z.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**4)\/c)\/(c*c**(8\/7)))\/(c*c**(-5\/3)\/c*c**4))**(-19) assuming c is positive.\nAnswer: c**(190\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u + 1. Suppose -2*z = -3 - 3. Suppose 5*t = 5*s + 10, -t = s - 4 - 2. Let v = t - z. Calculate n(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**5\/150 - 2*g**4\/45 - g**3\/15 + 6*g**2\/5 - g + 1. Factor n(k).\nAnswer: 2*(k - 3)**2*(k + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, 141, -2 in ascending order.\nAnswer: -2, 0.2, 1, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -28035504\nAnswer: -56071008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 13*i**5\/5 + 19*i**3\/3 + 1. What is the third derivative of l(n) wrt n?\nAnswer: 312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 x, and 1 g when four letters picked without replacement from {x: 2, b: 9, i: 1, g: 1}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 - 3*s**5 + 5*s**5 - 3*s**4 + 8*s**5 + 3*s**4 + (-2*s**3 - 2*s**3 + 6*s**3)*(0 - s**2 + 0) + 31*s**5 + 28*s**5 + 37*s**5.\nAnswer: 103*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12105875 divided by -2421175\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - w - 1755 = 0, -5*h + 375 = -w - 1820. What are the prime factors of h?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t - 21 = a, 2*a + 30 = 2*t. Let v(g) = 10*g**2 - 5*g + 1. Let p(s) = -29*s**2 + 14*s - 3. What is a*v(z) - 6*p(z)?\nAnswer: 4*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8546671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 71.978*0.2\nAnswer: 14.3956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7631059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 177*n**3 + 3*n**2 - 3. Let q be g(1). Suppose -292 = -7*l + q. Calculate the remainder when 264 is divided by l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.3 (c) 36 (d) -0.2 (e) 35 (f) 0.5 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(13 + 220\/(-15)). Solve -168*t = -165*t - j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q + 10. Let m = 3 + -2. Let s(f) = 1 + m - 9 + 2*f. Determine -7*s(j) - 5*x(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 70500193 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: Convert -14 (base 7) to base 13.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 495387, 990374, 1485361, 1980348?\nAnswer: 2475335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16622.3*-0.006\nAnswer: 99.7338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 21*v**2 - 11*v - 2. Let n(b) = 10*b**2 - 6*b - 1. Let u(g) = 6*m(g) - 11*n(g). What is the units digit of u(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4761, 9776, 15049, 20580, 26369, 32416, 38721?\nAnswer: 45284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 8 - 25)*(0*y + 0*y + y)*(-28*y**4 - 27*y**4 + 70*y**3 + 57*y**4).\nAnswer: -28*y**5 - 980*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 5. Let n(s) = -111*s + 40. Calculate -6*h(x) - n(x).\nAnswer: 105*x - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21 - (-1010)\/(-40)) + 5 + -1. What is the second smallest value in r, 2, 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 856*b + 858*b = 194362, -4*a + 5*b = -259134. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 6832.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w**3 + 83 - 83.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93.9086 + -0.0914. Let w = 100.99 + -1.99. Let l = k + w. Which is greater: -1\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24937909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 43, 57, 91, 151?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6380531, 12761029, 19141527, 25522025, 31902523?\nAnswer: 38283021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -22. Let o(r) = -1 + n*r + 1 + 0. Let a(s) = 61 - 61 - 20*s**2 + 26*s**2 + 7*s**2. Determine o(a(l)).\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3198\/(-41)*(66\/(-9))\/(-11)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-6*(-3)\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Let v be 1 - 1\/1*-1. Let r be l + 1\/(-2)*v. Which is the second biggest value? (a) r (b) -2\/5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 63*d**3 - d**2 + d + 1. Let b be c(-1). Let v = 99 + b. Suppose 5*u - 30 = v. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 - 7) - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 251, 0, -3, 3 in decreasing order.\nAnswer: 251, 3, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f - 29. Let n(x) = x - 3. Let u(m) = g(m) - 5*n(m). Let z(d) = 2*d. What is z(u(v))?\nAnswer: 2*v - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a + 96. What is d(24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 + 40. Let k = w + 4. Let d = -21 + 54. Solve 3*q - 6*q + 5*j = 31, -k*q = -5*j + d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -137 - -139. Sort -18, o, -1.\nAnswer: -18, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k - 26*k - 24 + 13*k.\nAnswer: -2*k - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 14*y - 28. Let k be o(-11). Let m(c) be the second derivative of 0 - 2\/3*c**4 + 5*c + 0*c**2 - 1\/45*c**6 + 8\/9*c**3 + 1\/5*c**k. Factor m(s).\nAnswer: -2*s*(s - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*w + n, 4*w + 2*n + n - 26 = 0. Let q(f) = -f + 5. Let o be q(w). Let x be -4*(-2 + o + -4). Calculate the greatest common divisor of x and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*m + 4*v, 8*v = m + 10*v. Let y be 2\/(-8) - (-2)\/8. Suppose -m*t - 5*d + 9197 = -2*d, 4*t + d - 9199 = y. Round t to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479*o + 62187 = 5186 for o.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33\/31 in 39.3, 0.2, 209?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i**3*o*w**3 + 11*i**3*o*w + 43*i**3*w**3 - 9*i**3*w + i**2*o*w**2 wrt w.\nAnswer: -24*i**3*o + 258*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 - -37.75.\nAnswer: 37.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -246 + 249. Suppose -3*o = 4*i - 243 - 441, o - n*i - 241 = 0. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*d - 20, 4*d - m = 19 - 3. Suppose 20 - d = -4*p. Sort 1\/4, 0, p in increasing order.\nAnswer: p, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2 - 14. Let t be (w\/5)\/(3\/(-250)). Suppose -3*a - 22 = -t. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/5))**(-2\/9)\/(r**(-4))**(-2\/73) assuming r is positive.\nAnswer: r**(224\/3285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:04 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 0, -29\/9, -5, -2\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 58 (b) -0.1 (c) -5\/3 (d) -2 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8742525?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) - (sqrt(12) + 0 - sqrt(12)).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247155 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8085 - 8086.2. Sort 2, 0.5, 3.1, -1, l.\nAnswer: l, -1, 0.5, 2, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -1249 (c) 2\/17 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 13*k - 1 = -18*k, 2*k = -3*n + 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -157*n - 77*n - 94*n + 252*n + 15. Let q(f) = f. Determine t(q(y)).\nAnswer: -76*y + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1036 equal to -9334\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1659*c**2 - 773 wrt c?\nAnswer: 3318*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11646 + 3?\nAnswer: 11652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 - 23*z - 41. Calculate f(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 1, f: 1, v: 1, b: 3}. What is prob of sequence nr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 956 divide 1857386518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 721*a - 3 + 697*a + 51*a**5 - 1373*a wrt a?\nAnswer: 1020*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 3099556?\nAnswer: -15\/1549778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x, 4*t + 214*x - 12 = 216*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 271521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 5*v**2 - 7*v + 14. Let x be m(4). What is the common denominator of (-3)\/x*45\/594 and -111\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -2\/7 (b) -1\/7 (c) 26 (d) 5 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(684))**2 + 2 + ((sqrt(684) + -1)**2*-6 - sqrt(684)) + 2.\nAnswer: -3418 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 45 - 4 = 0. Let w = 15 - 13. Let z be (w*(-1)\/8)\/(-1). Which is the biggest value? (a) g (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 115\/7511 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36406 is divided by 164?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**5\/4 - 48489*q**4\/2 - 195786378*q**3 + 4705906587*q**2\/2 + 783145515*q\/4 - 2352929049 = 0.\nAnswer: -16169, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from 63.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j**2 - 3*j**2 - 4*j**2 - 4*j**2 - 2*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqq. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -3*k**2\/2 - k - 17. Let s(m) = -m. Suppose 265*d = 258*d + 42. Calculate d*s(f) - r(f).\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -382*-0.922\nAnswer: 352.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - s - 19, 343*x + 55 = 339*x - 3*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrttrr.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 1469364?\nAnswer: 4408092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 3 - 3)*(3 - 3 - 4*n**3) - 3*n**5 + 6*n**5 + 2*n**5 + (n - n + n)*(2 - 2 + 3*n**4).\nAnswer: 16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-9) - 28\/(-24). Let x = 35\/22 - 12\/11. Find y such that 1\/2*y**2 + 0 - x*y + s*y**3 - 1\/2*y**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 8)*(-4*w + 1 - 1)*(3 + 1 + 3).\nAnswer: 252*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169813 - 169848.9788. Let o = 36 + g. Round o to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15750 - -15756. Which is the nearest to 2\/17? (a) 2.1 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (49 + -72) - (1 + -1 + 5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7130784359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398*p - 381*p + 68 = 0. Which is the second smallest value? (a) p (b) -0.259 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*k**4 + 96\/7*k**2 - 40\/7*k**3 + 0 + 1152\/7*k.\nAnswer: 2*k*(k - 12)**2*(k + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5112 and 36.\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16652302009 + -0.5.\nAnswer: -16652302009.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3001504km?\nAnswer: 300150400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00678385 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -215, -206, -197?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9065454 a multiple of 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*w = -178*w + 70. Solve 3*g - g - 12 = z, -2*g + 2*z = -w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (134 + 0 - 3) + 11 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148 + 261. Let l = 110 - g. What is the closest to -1 in l, -4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**3\/6 - u**2\/2 - 5*u + 6. Let p(x) be the first derivative of z(x). List the prime factors of p(-13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 l, and 1 i when three letters picked without replacement from {i: 1, l: 1, p: 1, w: 2, f: 1, y: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.028 (b) -2\/5 (c) -10 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-35))\/(3\/90))\/((-136)\/3332).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368816 and 1195544?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 5*i - 3*i)*(-3*i + 4*i - 19*i).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1442, -541, 426, 1489, 2678, 4023, 5554, 7301?\n\"Answer: 5*a**3 + 3*a**2 + 857*a - 2307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666 + 1524 - 2190 + 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -95900 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -154 and 6.93869623.\nAnswer: -147.06130377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9991699 millilitres in litres?\nAnswer: 0.0009991699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 1:54 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 t when three letters picked without replacement from {m: 2, k: 1, t: 4, w: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -464*t + 6522. What is z(14)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32 and 13794143?\nAnswer: 441412576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 456.8 + -457. Let n = -12 - -9. Which is the second smallest value? (a) 6\/11 (b) -2\/11 (c) i (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.16999.\nAnswer: -0.016999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234158.2kg to tonnes.\nAnswer: 234.1582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(2\/(-14))\/(230\/322)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 173a (base 15) in base 10?\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2. Let h(s) = -6*s**2 - s + 2. Let v(i) = h(i) - 5*k(i). Suppose -2*g - 2 = -3*m - 4*g, -4*m + 2*g - 2 = 0. Calculate v(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (0 - -2) - (520 - 507)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33 + 33 + 22*i)*(-2 + 2 - 2)*(1 + 2 - 4) in the form d*i + u and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - c - 588 = -k, 0 = 5*c - 4*k - 735. Calculate the greatest common factor of c and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (10 - 4 - 12 - 5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -19. Suppose w + 5*b = -3 - 3, 18 = -3*w - f*b. Is ((-319)\/(-3))\/((-2)\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/9*3 - -5. Let l(m) = -q - m + 2*m + m**3 - 6*m**2 + 0*m. Let a be l(6). Solve a*y - 9 = -24 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 5*d**2 + 5*d - 4. Let f be h(4). Let v(m) = m**2 + 1. Let g be v(f). Let w = -2 + 5. Solve 0 = 4*y - 17 + g, w*s - 18 = -3*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 62239245 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101\/88 - 14\/11. Sort v, -4, 2.\nAnswer: -4, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8, 0.3, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z + 9. Let x be f(8). Suppose 3 = 11*t - x. Suppose -y + 2*a = -6*y + 33, -3*a - 3 = -3*y. Put 2, y, t in decreasing order.\nAnswer: y, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -52. What is the tens digit of 232 + 36\/(-45)*i\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-19 + 3 - (-1 - (10 - 16)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3 - 18. Let s(n) = 26*n - 15. Let h be s(8). Suppose d*g - h = 129. What is the highest common divisor of g and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) 31 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224406.\nAnswer: 2, 3, 7, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*k**2\/7 + 2962*k\/7 + 373068\/7.\nAnswer: -2*(k + 86)*(8*k - 2169)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 3 = u. Solve 3*f + 9 = -2*o, -2*o - 2*f + 5*f - u = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9\/88 (b) 0.4 (c) -1846 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -9 - -16) + (-9 - (1 + -4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-10) - (-1 + -6 + 9)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 651.9933 years?\nAnswer: 6.519933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -196*h*s**2 - 6*h*s - 2*h - 2*s wrt s.\nAnswer: -392*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 954*s + 6 + 18.\nAnswer: -954*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = -46 + 172. Sort -2, -7, -4, k in decreasing order.\nAnswer: k, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7234+5665.211\nAnswer: 5662.4876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(63) - (sqrt(7623) - -2*sqrt(7623))) + sqrt(63))\/((sqrt(162)\/sqrt(6))\/sqrt(3)) + 3)**2.\nAnswer: -186*sqrt(7) + 6736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(168*k - 262*k + 295*k).\nAnswer: -402*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 54*x - 4. Is 10 a factor of b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 6:18 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*f**3*k**3 - f**3 - 15*f**2 + 89452*f*k**4 - 11119*f wrt k?\nAnswer: 78*f**3*k**2 + 357808*f*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b - 8. Let m be o(5). Let u(f) = m + 4 - 24*f - 8*f - 9*f. Is u(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 - 188 + 1 - 88)*(-2*b - 2 + 2) to s*b + o and give s.\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -273674\/39 greater than -7017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -9*p + 11*p - 6, 0 = 5*p - 3*x + 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.16223 * -1.\nAnswer: -2.16223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3*3 + -2. Let p = 4 + r. Does 9 divide 0\/(-3) + p*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 256151\/4 or 64038?\nAnswer: 64038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1694) - (sqrt(1694)*-1 + sqrt(1694) + sqrt(1694)))\/(sqrt(63)\/(sqrt(9) - -1*sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -1202, 7, 2 in descending order.\nAnswer: 7, 4, 2, -3, -1202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4431, -5\/3, -16\/3, 0.2, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-19) - 141\/7144.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-15)*6\/16. What is the closest to f in -5, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f - 9. What is z(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47070 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 641, 4239, 13271, 30221, 57573?\nAnswer: 97811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/4 (b) 0 (c) 5\/3 (d) -1 (e) -0.19 (f) 0.6 (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -260 - -262.4. What is the smallest value in s, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276685798 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/(d**(2\/9)\/d))\/d*d*d*d**(-4))\/(d**(1\/3)*d*(d\/(d**(4\/11)\/d))\/d*d*d) assuming d is positive.\nAnswer: d**(-415\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1353*a**2*u**4 - 5*a**2*u - 5524*a**2 + 67*a*u**6 - 7*a*u**2 wrt u.\nAnswer: -32472*a**2*u + 8040*a*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76011, -152024, -228037, -304050, -380063?\nAnswer: -456076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328960?\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/55 (b) -3 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2985*l - 2. Let v(w) = -5965*w - 5. What is 5*t(j) - 2*v(j)?\nAnswer: -2995*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ennnnoeeeeeonne. Give prob of picking 1 n and 2 e.\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)*g**(-7\/4))**20 assuming g is positive.\nAnswer: g**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-6)*(-1485)\/(-330).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -144+-80\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 46.5. Let q = f + -9. Which is the closest to -1? (a) q (b) -2\/13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2188*i*n**5*y - 3*i*n**5 + 2*i*n**2*y - i*y - 24445*n**2 wrt n?\nAnswer: -131280*i*n**2*y - 180*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -392, -783, -1174?\nAnswer: -1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 39 + 49. Suppose 0 = 3*s - 2*s - 5*w + n, 0 = -5*s - 4*w + 35. Differentiate -1 + m**3 - 1 - s*m**3 with respect to m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 22*t - 14. Give d(22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1110 (base 2) to base 11\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s*u**3 - 88*s*u + s - 3*u**4 - 16*u**3 + u**2 wrt u.\nAnswer: -12*s - 72*u - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -c - 15492, 0 = z + 5*c - 5383 + 203. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d - -3?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003405425721 rounded to 5 decimal places?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 - (3 + -5 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**6)\/l*l*l\/(l*(l*l**(-6))\/l))**(2\/5))**5 assuming l is positive.\nAnswer: l**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004876440738 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 4:34 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18603, 18490, 18385, 18288?\n\"Answer: 4*d**2 - 125*d + 18724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16064873?\nAnswer: 11, 107, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*z - 6 + 3, 3*z + 6 = 0. Suppose n + u = 2. List the prime factors of (-22)\/n*(-21)\/(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -13 - -4 - (0 - (-3 - -3)). Let z be (10\/(-30))\/(1\/a)*1. Find i, given that -62 + 62 + 6*i + 3*i**z + 7*i**2 + 2*i**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 12, 29, 72, 153, 284?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 0.04, 1\/8?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -6\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 27*m - 71. Which is smaller: 57 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 - -32 - (3 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137 or 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -67*j**4 + 4*j + 2179. Let z(y) = 2*y**4 - 2*y + 1. Let w(r) = -i(r) - 4*z(r). What is the first derivative of w(s) wrt s?\nAnswer: 236*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131221332 (base 4) to base 6\nAnswer: 2334210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*g + 5*a, -2*a + a - 5 = -g. Let r(q) = 9*q**3 + 2*q**2 - 2*q + 1. Let d be r(g). Let m = d - -4. Solve m = 2*t + 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 28 = 29. Suppose -18 + 2 = -3*g - 4*a, -a + y = 2*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -10. Let d(v) = 0*v - v**2 + 0*v + v**3 + 7*v**2 + 5*v. Give d(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169599 times -150?\nAnswer: -175439850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1235)\/1636 - 75\/(-100). Do i and -1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**4\/4 - 5*w**3\/3 - 2*w**2 + 2*w - 3. Let x be l(5). Let y = x - -27. Calculate the highest common factor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 4 (c) 31 (d) 0.44 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10688 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32759 or -0.6?\nAnswer: 32759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 38*u**2 - 37*u + 73. Let m be r(-39). Let a(w) be the third derivative of -w**5\/60 - w**4\/6 - w**3\/6 + w**2. Determine a(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**3 + 4*o**2 - 28*o - 47. Let z(y) = -y**3. Let g(p) = s(p) + 2*z(p). Let a be g(-7). Solve -a*q - 3*q = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4\/5 + 158308*b**3\/5 - 3132994458*b**2\/5 + 2506015640*b - 2505889000 = 0. Calculate b.\nAnswer: 2, 39575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12220220 (base 3) to base 10.\nAnswer: 4317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*(60\/(-140))\/(3\/6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11021231 + 13?\nAnswer: 11021244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87540\/1931 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3, -1.2, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18\/229 - 970\/687. Let z = -4.9 - -0.9. Put -0.5, z, o, -2 in ascending order.\nAnswer: z, -2, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220211 (base 3) in base 15?\nAnswer: -96d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 + -252357?\nAnswer: -252405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3*x - f**3 - 5709*f**2*x + 5*f**2 - 20*f*x - 82*f - 2*x - 98 wrt f.\nAnswer: 12*f*x - 6*f - 11418*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-19)\/(c*c**(-4\/9))*(c\/(c\/((c*c**(-18)\/c)\/c*c)))**(-1\/19) assuming c is positive.\nAnswer: c**(-3182\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -412.\nAnswer: -3\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(7) + 3 + (-5*(sqrt(7) + -1 + sqrt(7)) + sqrt(7))**2.\nAnswer: -89*sqrt(7) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -64. Sort 0, -1\/21, k.\nAnswer: k, -1\/21, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozx when three letters picked without replacement from {z: 3, b: 3, o: 2, a: 1, x: 1, d: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**4*x**3 + 3668882*q**4*x**2 + 1439043*q**2*x**3 - 2*q**2 wrt q?\nAnswer: 24*q*x**3 + 88053168*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (120 - (4 - 1)). Let k = l - -178. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 4. Let a(y) = 3. Let o(k) = -4*a(k) + 3*r(k). Let v(q) = -6*q**2 + 7. Let p(w) = 4*w**2 - 5. Let z(h) = 7*p(h) + 5*v(h). Give o(z(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0283613 millimeters to centimeters.\nAnswer: 0.00283613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -621.64 - -564.1. Let v = i - -57. Round v to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u**2 + 20826*u + 7576 = 0. Calculate u.\nAnswer: -4\/11, 947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2330434110 - -3?\nAnswer: 2330434113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -19. What is the least common multiple of 165\/(-10)*n\/6 and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 145*h + 5070. Calculate b(-28).\nAnswer: 1010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/15 + (-17)\/5. Let h = -2 - g. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26652 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -34*v**3 - 3*v - 2. What are the prime factors of r(-1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*l - 44, -43 = -3*l - 0*o - o. Let n be 6\/(42\/637)*3*14\/21. What is the highest common factor of n and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -1299*r**2\/2 + 1137*r + 1417. Differentiate i(c) wrt c.\nAnswer: -1299","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**9\/1512 - h**5\/40 - 2*h**3\/3 + 6. Let v(t) be the third derivative of q(t). Find the second derivative of v(b) wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 8*h - 261. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13413)\/5260*((-7)\/((-7)\/3))\/(18\/(-8))\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 42 = 3*f. Let u = f - -31. Let g(l) = 2*l**2 - 2*l**2 - u - l**2. Calculate g(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1582 - -1603.2. Which is the second biggest value? (a) 1\/4 (b) p (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-72)*6\/4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*l**2 + 61*l**2 + 38*l**2 + 39*l**2 - 14*l + 6 to the form k*l**2 + i + x*l and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 2, o: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**2 + 2*t**2 + 2*t**2. Let a(c) = 8*c - 8*c - 15*c. What is a(z(y))?\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.6 and 388 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.22 + 11.78. Let b = 239 + -227. Let x = r - b. What is the biggest value in -2, -2\/17, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000275 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6057 * -5.2047\nAnswer: -31524.8679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 4. Let w be p(2). Let l(f) = -f - 5. Let s be l(w). Put s, 5, 0 in increasing order.\nAnswer: s, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 3:10 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r + 19. Let j(d) = -2*d - 13. Let q(g) = 7*j(g) + 5*y(g). Calculate q(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*d**4*n**3 - d**4 + 2*d*n**3 - 84*n**3 + 3*n wrt d.\nAnswer: 372*d**2*n**3 - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 388 - 390. What is the second smallest value in 0.2, 4, d, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13686673.4 to the nearest 10000.\nAnswer: 13690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 13. Which is smaller: 12\/13 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 8373706?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/12495 and -41\/6751465.\nAnswer: 20254395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02306 - 5.02306. Which is the nearest to 0? (a) 3 (b) o (c) 3\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - l + 3*l)*(0*l**4 + l**4 - 2*l**4) + 20*l**4 - 20*l**4 + 5*l**5 - 17*l**5 + 44*l**3 - 44*l**3.\nAnswer: -11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.07, -12, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110805*b**5 + 2*b**2 - 7*b + 27 wrt b?\nAnswer: 6648300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -222404 (base 5) in base 10?\nAnswer: -7854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8366 + -8366. Let p = 34 + -34.01. Which is the fourth smallest value? (a) 0.2 (b) q (c) -3\/5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*d = 65*d - 426 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1\/1*516\/1376.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 519960 divided by 9285\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roro when four letters picked without replacement from orrrrorrrrororor?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t - 34*t + 17*t + 2.\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 at least -2022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4153499 - 2672499. Round g to the nearest 10000.\nAnswer: 1480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*o - 542*o = 726 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 429.4579l?\nAnswer: 429457.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 24*i**3 + 45*i**2 - 12*i - 8. Let w(b) = 39*b**3 + 67*b**2 - 19*b - 12. Let u(s) = -8*d(s) + 5*w(s). What is u(8)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let k = 2.4 - 2. Let s = k - 0.4. Put -2\/5, d, s in descending order.\nAnswer: d, s, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 4*s + 3, 4*s = 4*k + k + 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 756 - -1?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -5. Let j = 6 - 8. Let r(i) = i**2 + 2*i + 3. Let p be r(j). Sort -3, b, p in descending order.\nAnswer: p, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 27 = -3*l, l + 1 = -3*x - 0*x. Let m = l - 5. Solve 2\/9*q**m - 2\/3*q**2 - 2\/9 + 2\/3*q = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5365 + -0.6985. What is the nearest to 2\/5 in 0.5, 2\/3, 1\/4, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14901383 to the nearest ten thousand.\nAnswer: -14900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26\/63 in -14, -46, 0.3, -1\/10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 4*v**2 - v - 9. Determine h(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 275327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 10 = 0, -5*g + a = -4*a - 230. What is the greatest common divisor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 6396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.9 plus -7?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 248 + -420. Is -2 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14362 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: Calculate the greatest common factor of 54295 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 4*o - 2. Suppose -3*b = 5*q, 0 = -7*b + 5*b + 3*q. Let u(t) = -t**2 - 3. Let h be u(b). Calculate w(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bwwwbbbb?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*n - 19*n - 9*n - 19*n - 15*n + 82 in the form y*n + i and give i.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-525)\/(-20))\/21 + (-5)\/4. Solve g = d + 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2\/9, -0.4, 4, 2 in ascending order.\nAnswer: -0.4, -2\/9, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2. Suppose 2*d = -0*d + 4*a + 2, 0 = -5*a. Let g = -34 + 35. Let o(h) = -2*h + d - g. Determine p(o(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 o when four letters picked without replacement from olollloolllollololl?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/8 of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i - 35*i - 24245 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -3\/10*x**5 + 1\/15*x**6 - 1\/3*x**3 + 1\/2*x**4 + 0*x + 0 + 3*x**2. Factor b(f).\nAnswer: 2*(f - 1)**2*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 9:26 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 355324996?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -11. What is the highest common factor of q and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 291b9?\nAnswer: 291b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 2\/5 (b) 1\/5 (c) 4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m**3 + m**2 + m. Let u = 14 - 5. Let r = -5 + u. Suppose -5*a - r*k + 8 = -7, k - 4 = -a. Give g(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(110)*4*1)\/(sqrt(70)\/sqrt(7)*3).\nAnswer: -1 + 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1040638 is divided by 448.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 8. Let l be r(4). Let t(n) be the first derivative of -5*n - 3 + 1\/3*n**3 + 3\/2*n**2. What is t(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2. Let m(o) = 6*o**2. Give m(k(x)).\nAnswer: 54*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(((-6468)\/(-143))\/42).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -88 - 40*u**2 + 88 + 0*u + 0*u - u**2 + (-u**2 + 0*u**2 + 0*u**2)*(1 + 2 - 6) - u**2 + 3*u**2 + 3*u**2.\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31859 is divided by 6364.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36001*h**4 + 216193?\nAnswer: 144004*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 64 = -12*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 756 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1141.\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*-1 + sqrt(7) + sqrt(7) + -1.\nAnswer: -4*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + (52 - 106) - (0 + (-1 - 50)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 42 + 18 = 0. Suppose -k + b = 4. Let h = -2023 + 2028. Solve k*c - h*c - 5 = a, 4*c + 20 = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 3\/8, -1577, -85.4, -2\/7, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 0*p - 6*p = 2*p + 6*p - 4*x, 6*p - 5*x = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5 = -10. Suppose 0*o - 78 = -x*o. Suppose 3*r + u = o, 16 = -4*u - 0*u. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 - 1. Let b be k(1). Let d(s) = -2*s - 3. Let q = 22 - 8. What is the remainder when q is divided by d(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -5, -39\/37, -2\/5, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28327 and 17303?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -694*t - 101. Let d(i) = 174*i + 23. Determine 9*d(x) + 2*m(x).\nAnswer: 178*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:03 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*n + 5 - 23 = 0, -3*z - 2*n + 25 = 0. Let o be (-2)\/5*(-14 + 4). Find the third derivative of -2*f**5 + o*f**2 - 7*f**3 + z*f**3 wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 5:56 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 2*m**2 + m - 2. Let f be n(2). Let i(j) = -j**3 - j + 4. Suppose 0*r = 5*r - 45. Calculate the lowest common multiple of i(f) and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a factor of 170142694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 248313147.\nAnswer: 744939441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 33962 - 150032 = 80599. What is t rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 + 78. Suppose -s*p + 838 + 773 = 0. What are the prime factors of p?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.05 + -7.15. What is the nearest to 0 in w, 3, -0.4, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24951, 49903, 74853, 99801, 124747, 149691?\nAnswer: 174633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 17417\/38128?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42053331 (base 6) to base 7.\nAnswer: -13241521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19803192?\nAnswer: 2, 3, 103, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.62 and -3086617.5.\nAnswer: -3086618.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1490*x**2 + 1340*x - 1340*x)*(-2 - 2*x + 2) + 4*x**3 - 4*x**3 + 4*x**3 as t*x + i*x**3 + k + b*x**2 and give i.\nAnswer: -2976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -457*b**3*i - 5*b**2*i - 8*b**2 wrt b.\nAnswer: -2742*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 4, 8 in decreasing order.\nAnswer: 8, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y. Let h(c) be the third derivative of 319*c**5\/20 + 197*c**2. Determine i(h(q)).\nAnswer: -957*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18180\/7272*(-12)\/170*2?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 102423 (base 5) to base 2\nAnswer: 110110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799684364?\nAnswer: 2, 199921091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 3. Suppose -5*x = f - 23, -5*f + x = -f + 13. Let q be d(f). Let s(v) = -v**3 - 6*v**2 - v + 7. Let m be s(q). Is -13 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13278*s + 252467 + 361885 = 277930 - 765652 for s.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/6076 and -9\/49988.\nAnswer: 75931772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 14. Let b = s + 16. Find the common denominator of -36\/11 and (-508)\/b*(-3)\/12.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + -3 + -3 + (-1 - -12 - 32)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252))**2 + 0 + -5*sqrt(448) + (-2*(sqrt(700)*-5 - sqrt(700) - sqrt(700))*5)**2.\nAnswer: -40*sqrt(7) + 3430252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -237, -475, -713?\n\"Answer: -238*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(0 + (-2)\/18). Let u(n) = -5*n**3 + 2*n**2 - 2. Let o(i) = 14*i**3 - 6*i**2 + i + 6. Let h(m) = -6*o(m) - 17*u(m). Is h(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 118*a**2 - 5*a + 5. Suppose 2*p + 11 - 21 = 0. Let b(n) = n**2 - 2*n + 2. Let z(m) = p*b(m) - w(m). Find the second derivative of z(r) wrt r.\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from teaaekkkkkkkketee.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(40\/(-148)) - (-3 - -13)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, 179578, -3 in descending order.\nAnswer: 179578, -3, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1149.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*r**3*v**2 - 216*r**3 - 178*v**2 - 24*v wrt r?\nAnswer: -75*r**2*v**2 - 648*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) 8\/5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**2 + 4*t + 1. Suppose -8 = 4*g, 5*g = -x - x - 8. Let c(j) = -j**2 + j + 1. Suppose 2 = 11*q + 35. Give q*c(b) + x*i(b).\nAnswer: -2*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = 4*j - i, -6 = 3*i. Let x(z) = z**3 + z**2 - z + 1. Let d be x(j). Let f(h) = 0*h**2 + h**2 - 2*h + d + 4*h - 5*h**3. Determine f(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000010011 (base 2) in base 11?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7\/66 + 43\/1650. Suppose -5*s + j + 7 = 0, -2 = 3*s + j - 3. Which is the second biggest value? (a) s (b) t (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rffggxxfhgvv. Give prob of picking 1 g and 1 h.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 85284.405 to the nearest one hundred.\nAnswer: 85300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, s: 1, g: 2, b: 6, f: 2}. Give prob of picking 1 f, 1 b, and 2 g.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 5*l. Let k be c(-4). Suppose 191 = 5*u - k*r, 0*r = u + 2*r - 41. Suppose 2*p = 9 + u. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -0*w + 2*w. Suppose -12 = -6*v + w. Let u(h) = -11*h**3 + 6*h**2 + 6*h. Let d(k) = 100*k**3 - 55*k**2 - 55*k. Give v*d(b) + 55*u(b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -6306?\nAnswer: -6287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5729940 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 31 = 11. Let b = -5 + t. Suppose -4*f + 12 = -4*o, 3*f + 4*o + 9 = -3. Solve 1 = -f*l + l - v, 0 = 5*v - b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3056)\/5)\/(-16) - 8\/(-10). Let p = -271\/7 + t. What is the smallest value in 2, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -191 - -191. Suppose -6*c + 4763 + 29215 = o. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698207 is divided by 349086?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/15*10\/(-4). Suppose 0*p = -j*p + 18. What is the smallest common multiple of p and (-22)\/(-4)*8\/4?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-95)\/(-20) - 3\/4. Suppose -l*z + 131 = 5*q, 8*q + 54 = z + 5*q. Calculate the smallest common multiple of z and 8.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-6*5*-4*sqrt(156))\/((6*sqrt(384) - sqrt(24))\/sqrt(2)))**2.\nAnswer: 4680000\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-90063 + 0)*11\/(-3). Suppose 3*w - 993169 = -4*x, 2*w + 5*x - u = 331891. Let b = w + -191051. Round b to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/85147?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 562213129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -13*f - 2*f**2 - 4*f**2 - 2*f**2 + 2 - f**3 - 5*f**2. What is the lowest common multiple of c(-12) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/8)\/(q*q\/(q*q**(1\/16)*q))*(q**1)**42)**(-30) assuming q is positive.\nAnswer: q**(-10185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303154*m**2 - 303153*m**2 + 909460*m**2 - 303155*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 57 = 12*i. Let s be i\/(-16)*56\/231. Which is the smallest value? (a) -1 (b) 0.018 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -20, 29116?\nAnswer: 29116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 58, 213, 558, 1099, 1842, 2793, 3958, 5343?\n\"Answer: h**3 + 89*h**2 - 119*h + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/60 and -3\/100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)*x*x)\/x)**(4\/3)*x**0\/(x*x**(-2))*(x**(-6)\/(x\/((x\/(x*x*x*x\/x**(-2)))\/x)))\/(x**0\/x**5) assuming x is positive.\nAnswer: x**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + -16 + 20 + -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -33 - 11. Let k be (v\/(-8))\/((-2)\/(-12)). Solve 4*z - k = 5*s, -3*z = s - 4*z + 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 626869390 to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -247755*-0.3\nAnswer: 74326.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2314095, -2314279, -2314463, -2314647, -2314831, -2315015?\n\"Answer: -184*r - 2313911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 21*o - 3*o**2 + 5 - 5.\nAnswer: -o**2 - 21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/13 + 118*h**4\/13 + 250*h**3\/13 - 366*h**2\/13 = 0. What is h?\nAnswer: -3, 0, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.5 + -6. Let p = -447119 + 447117.499993. Let j = a + p. What is j rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5*l = 14, 5*l + 1 = 2*s + 9 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - 0.132. Let g = t + -0.008. Which is the second biggest value? (a) g (b) 1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 4 + 0*t**6 + 2\/7*t**7 + 0*t**4 + 0*t**2 + 0*t**5 + 0*t - t**3. What is the third derivative of u(l) wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 10:21 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 31. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -531 - 652 = -13*v. Let o(d) = d**2 + 6*d + 2. Let a be o(-6). Suppose 0 = -5*f + 3*y + v, -28 - 21 = -a*f - 3*y. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6*b = -4*b + 26, 5*b = -4*w - 9. Let h = -2944 - -3009. What is the nearest to -1 in h, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (4 - 14)) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -243*f - 1259. List the prime factors of u(-11).\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n - 4*n**2 + 2*n + 5 - 8*n as y + h*n + k*n**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 35*r - 293. Let w be n(42). Solve 3*i + 17 + w = 3*b, 0 = 3*i + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10638 is divided by 1771?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -369596, -739126, -1108654, -1478180, -1847704, -2217226?\n\"Answer: j**2 - 369533*j - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-2*c**5 - 1 + 1) - 12*c**5 + 1113 - 1113 + (-c**4 + c**2 - c**2)*(2 + 2*c - 2) - 34459*c - 57*c**5 + 2*c**4 + 34459*c.\nAnswer: -73*c**5 + 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1168297 by -1.\nAnswer: 1168297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219*-1.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(-17*s - 94*s - 4*s) + (-2 + 4 - 1)*(-s - s + 4*s).\nAnswer: -228*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6574.8102 - 6576. Round l to 2 dps.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15419 - -16544. What is the remainder when d is divided by 95?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 93 + -42)\/(5 + (0 - 1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111270 and 22254.\nAnswer: 111270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 67?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196240?\nAnswer: 2, 5, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-0.186878\nAnswer: -0.586878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-1)\/3 - 17\/1122*-22. Sort 470, 5, z in ascending order.\nAnswer: z, 5, 470","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1527814 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**2 + 4*x**3 - 13 - 35*x + 8*x**2 - 19*x**2.\nAnswer: 4*x**3 - 2*x**2 - 35*x - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, v: 1, p: 6, d: 6, q: 3}. Give prob of sequence sqqd.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -13214\/12783?\nAnswer: -13214\/12783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*sqrt(8) - (5*sqrt(48)\/sqrt(6))\/sqrt(4)) + 2.\nAnswer: -11*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v - 6. Let f be z(-2). Factor -2\/5*g**2 + 0 + 2\/5*g - 2\/5*g**3 + 2\/5*g**f.\nAnswer: 2*g*(g - 1)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -657 - -659.828. Let k = l + 0.172. Which is the nearest to -8? (a) k (b) -4\/7 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 8*l + 20. Let i be a(-5). Suppose 11 = 4*c - i. Suppose c*h - 2283 = 1997. Round h to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12) + 197 + (-221578)\/1596.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqr when three letters picked without replacement from {l: 3, k: 1, s: 1, r: 2, q: 2, c: 9}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m - 65. Let t be v(29). Let q(y) be the second derivative of y**4\/12 + y**3 - y**2 + 10*y. Calculate q(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7311215.\nAnswer: 5, 337, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + 3*i**3 + 2*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or -152.75415?\nAnswer: -152.75415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**5\/4 - m**4\/12 - m**3\/6 - 3*m**2 - 61*m. Let y(s) be the first derivative of f(s). What is y(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -829*i - 55296 = -2557*i for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*j + 4*k + 2, -2*j = 4*k - 2. Let w be 48\/(-6)*(j + 62\/(-4)). Factor -60*u**2 - 36*u + 144*u + w*u - 252 - 68 + 5*u**3.\nAnswer: 5*(u - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*i + 29356 + 43742, -4*b - 5*i + 73119 = 0. List the prime factors of b.\nAnswer: 2, 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/15)\/v*v*v\/(v\/v**(-5)*v*v)*v**(1\/5)*v*v**2)\/(((v\/v**3)\/v)\/v**(5\/4)*v**(3\/2)\/v*v**(-2\/7)) assuming v is positive.\nAnswer: v**(43\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17 - 16 + 35 - 3 + 3*p wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 253 = -4*z, -4*c + 12 = -0*c. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 1. Let a(u) = -u**3 - u**2 + 3*u - 3. Let t be a(3). Let p = t + 7. Let v = p - -26. Give s(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 66 (base 7) to base 11\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 2*p - 1. Calculate g(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/7 (b) -5 (c) -0.3 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 - 5*r + 0*r - 18*r**2 + 3*r - 22 + 20 in the form n + o*r**3 + j*r**2 + f*r and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -10\/3 (b) -5\/2 (c) -2\/9 (d) 3.9 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 6971556 + 5666619. Let s = p + 4587635. What is s rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express m**3 + 671*m + 1 - 14*m**2 - 4*m**4 - 26*m**2 + 2*m**4 - 669*m as t + u*m**4 + g*m + y*m**3 + q*m**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045160852 a multiple of 609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6822 is divided by 2186.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*d = -344*d - 195 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -143*b + 138*b - s + 7, 2*s = -b + 41 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 811876339?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/6 of a hour in minutes?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2396 is divided by 221?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73 + 5.3.\nAnswer: 78.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100539*j**3*n**3 + 3*j**2*n**3 - j**2*n - 4*j*n**3 - 44*j wrt j?\nAnswer: 603234*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**2 - 21*c - 21. Let d(k) = 2*k**2 - 5*k - 5. Give 21*d(h) - 5*j(h).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -14044525?\nAnswer: 14044532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 0.05, 0.298, 1.25, 2\/17 in increasing order.\nAnswer: -1\/8, 0.05, 2\/17, 0.298, 1.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 + 163*u**2 - 1056*u - 84. Give p(33).\nAnswer: -1173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 2:38 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**4\/4 + b**3 - 7*b**2\/2 - 6*b - 5. Determine d(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.7 - -0.9. Let c = p + -0.2. Let d = 266 - 266.06. What is the closest to c in 0, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10506, -3, 361 in ascending order.\nAnswer: -10506, -3, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8782 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 196, 298, 402?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 218 - 222.06. Let h = -0.06 - o. Suppose 144*u + 7*u + 151 = 0. Put u, 1, h in decreasing order.\nAnswer: h, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3317*c - 3. Let s be z(1). Suppose 11*j - s = 9*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/6 + (-251997)\/(-2). Suppose 3*v + 0*v + n = 0. Round v to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msmm when four letters picked without replacement from mnnvuvuusnmmnumn?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004353 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*z + 14. Suppose 8 = 2*m - 3*c - 4, -z*m + 12 = 5*c. Suppose 44*w - 41*w = m. Solve -w*q - d + 9 = 0, -d - 5 = 4*q - 18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-4)*(-64)\/12 - 2. Let k(g) = 6*g**2 - 1574*g**3 - j*g + 4 + 1573*g**3 - 2. Calculate k(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 0*s)*(-4 + 1 + 2)*(-13*s + 13*s + 8*s**2).\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/39 (b) -5 (c) 107732 (d) 1\/7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204\/(-136)*11\/(528\/(-1984))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 16*r - 3. Let v be l(13). Solve -19*i**4 - 9*i**2 - 623*i - v*i**3 - 2*i**4 + 629*i = 0 for i.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 307 and 20100.\nAnswer: 6170700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003535796 rounded to seven decimal places?\nAnswer: 0.0000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + (21 - 9) + 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286230, 572461, 858694, 1144929, 1431166?\nAnswer: 1717405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34250 divided by -10.\nAnswer: 3425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*m - 1, 0*m - 7 = -2*m - 3*l. Let j = m + 5. Solve -5 = -5*s + 4*r + 6, -j*s - r = -13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from {w: 4, s: 1, a: 2, n: 2, p: 1}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88138 + -88139. Let n = -0.7 - 4.3. Let v = 2.04 - 0.04. Which is the nearest to v? (a) r (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-10))\/((-48)\/(-80)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.22 and -0.044.\nAnswer: 0.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3814354?\nAnswer: 2, 137, 13921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 5*b, 0 = -4*g + 5*b - 4*b - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 37\/4. Let t = -0.63 - -0.33. Let v = 0.7 + t. Sort v, j, -3\/4 in decreasing order.\nAnswer: v, j, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22576202 to the power of 1\/2, to the nearest integer?\nAnswer: 4751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + p**2 - p**2 - p**2 to the form q*p**2 + j + n*p**3 + w*p and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 705 = 4*k, 2*k = -4*w + w + 2165. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7))**(-43)*(m**0\/m)\/(m*m*m**(-1\/2)*m*m*m))**22 assuming m is positive.\nAnswer: m**(1045\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102376 and 453816?\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w - 3*w + (2 - 1 + 0)*(0 - 2*w + 0) + 2*w - 6*w + 2*w)*(-2*w**2 + 3*w**2 + 0*w**2).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0263? (a) -4\/3 (b) 1460 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -2*u**3 - u + 6. Let i = -1 - -1. Suppose 0 = -b + 5*a + 11, i*a = -5*b + 2*a + 9. Give r(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7*f + 5*f - 248761 = 0, 0 = -2*c + 3*f + 99500. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3831291 + -2677821. Suppose 0 = -s - 3*u + 422006, -956528 = -5*s + u + c. What is s rounded to the nearest ten thousand?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18176 (base 15) to base 5.\nAnswer: -4443321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:02 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 194\/(8\/(-108)*9). Is -291 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442366 + 866535 - 5*r**2 - 424169.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 1500409456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -2*v. Solve v = 4*o - 5*w - 21, -o + 2*w = -4*o + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 999265 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 380 + 40 = 0. Let x = z - 40. Let r = -4 + 8. What is the highest common factor of x and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 7:40 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44320307.\nAnswer: 44320307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 860760214?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 261043980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29322163837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 216 + -114. Let c = -89 + r. What is the remainder when 95 is divided by (-628)\/(-26) - 2\/c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6771 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 b = 9827 + -9825. Solve -13 = -5*d + b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 584867989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1071 = -157*d - 200*d. Solve -39 + 72 = 6*x + 3*v, -d*v - 2 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n. Let x(v) = 160053*v**2. Determine x(r(d)).\nAnswer: 1440477*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -0.5, 54, -2, -1, -4, 28 in ascending order.\nAnswer: -42, -4, -2, -1, -0.5, 28, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -161 or -6320\/39?\nAnswer: -6320\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 5 + 1 - 122 - (-346 - -336).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 + 95 = 4*u. Suppose -3*t + t - 2 = 0, -4*k = -t - u. Solve 6*f + k = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntn when three letters picked without replacement from {n: 7, d: 7, t: 4}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280976067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5\/21 - 52*r**4\/21 - 176*r**3\/21.\nAnswer: -2*r**3*(r + 4)*(r + 22)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22003, -22006, -22011, -22018, -22027, -22038, -22051?\nAnswer: -22066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/8 of a millisecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l - 18*l + 0*l)*(1 + 3 + 0).\nAnswer: -100*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3931*i**2 - 3936*i**2 - 3935*i**2 + 15739*i**2 - 3940*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 175 + -183. Put 1, n, -6 in decreasing order.\nAnswer: 1, -6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 3*f**2 + 0*f**2)*(f**3 + f**3 - 3*f**3) - f**5 - 3*f + 3*f + (-2*f**2 + 0*f**2 - 2*f**2)*(3*f**3 + 0*f**3 - 5*f**3).\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 + -4. Let l = r + 76.951. What is l rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - q**2 + q - 1. Let s be v(0). Which is bigger: -1\/19 or s?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 5, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-12)*462\/(-31262))\/(2\/(-7)).\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -0.1 (c) -143.6 (d) -12 (e) -3 (f) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2913 divided by 63\nAnswer: 971\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0.1, 0.4, 4\/5, -2, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + -5)*52\/(-6) is divided by ((-14)\/(-5))\/((-1)\/(-5))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 9:43 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddcd when four letters picked without replacement from cccccdcccdddcccccdc.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 653618 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 665748356 a multiple of 1084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d - 10. Determine h(27).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 367*f - 364*f - 9 = 0, -32*y + 17*y + 2*f = -16*y - 22 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8940288 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o + 16*o + 286. Let z(y) = -4*y**2 + 3*y + 2. Let j(w) = 21*w**2 - 16*w - 10. Determine o*z(a) - 2*j(a).\nAnswer: 2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-5885)\/33)\/(6*(-40)\/48).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/8)*t\/t**8)\/(t**(2\/5)*t*t**8) assuming t is positive.\nAnswer: t**(-671\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*x**4 + 0*x**3 + 2*x**3 + 27*x**4 + (1 - 1 + x**2)*(-2*x**2 + x**2 - x**2).\nAnswer: 34*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*g + 4 - 15, a = -3*g + 6. Let i be 3\/2*(-11 - -15). Let w = i - 3. Is a greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -99, -203, -311, -423, -539, -659?\n\"Answer: -2*b**2 - 98*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z - 156. Let w(x) = -2*x**2 + x + 311. Let o(m) = -9*k(m) - 4*w(m). Suppose 5*f = 5, 0 = -3*n + 2*n + 2*f - 2. Does 32 divide o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + 8*j - 9. Let x be z(-7). Calculate the remainder when 6\/(-9) + x\/3 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 0 - 12\/45*25\/(-30). Let q = 0.2 - 0.1. What is the closest to q in -0.4, 3\/14, x, -2?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**3 - 8*w**3 + 21*w**3 - 6*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1529*a**3*b*i**2 - 12080*a**3*b*i + 8*a**3*i**2 + 4*a**3*i - 2*a**3 - 39*a**2*i**2 + 12*a*i - 17*i**2 wrt b.\nAnswer: -1529*a**3*i**2 - 12080*a**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -168.9 - -169. Let z = 5 + -4. Which is the nearest to 2.4? (a) 5 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29255*t**3 + 7047*t**2 - 716212916*t?\nAnswer: 175530*t + 14094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - u**2. Suppose 0 = -11*r + 13 - 2. Let f(d) = -11*d**3 - d**2. Give r*f(s) - t(s).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7e2cdb (base 15) to base 13.\nAnswer: -1333643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2. Let n(g) = 3*g - 230. Determine z(n(m)).\nAnswer: -27*m**2 + 4140*m - 158700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 182, 0.34 in increasing order.\nAnswer: -5, 0.34, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12866 and 140.\nAnswer: 128660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 24404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5\/34, -0.2, -2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/(2367\/(-3156))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 689034 divided by 229678\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-27) - 0\/(2 + -4). Which is the nearest to -1? (a) j (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 295*z - 290*z + 25, -2*n - z + 7 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -21*j + 127. Let v be h(6). Let f(u) = -u. Let o(y) = y. What is v*f(d) - 6*o(d)?\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by -123?\nAnswer: 68\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 561428 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75342 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 690179239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 20522241?\nAnswer: 20522245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 1, f: 1, l: 1, z: 1}. What is prob of sequence dfdx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 963*q - 35337. Determine p(35).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*n = 156*n - 85*n + 390 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 - 78. Suppose -2 = 3*t - h*t. Let b be (t\/2 + -2)\/1*1. Is b > 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n + 10. Let c be i(7). Suppose -4*w + 4*q = -32, 5*w + 14 - c = q. What is the remainder when 7 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13150327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**5 + 19355*i**4 - 155008*i.\nAnswer: 40*i**3 + 232260*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 1. Let m(i) = -5*i**2 - 8*i - 5. Let x(d) = -m(d) + 6*n(d). Let z be x(6). What is z rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 3\/8*n**2 - 9\/4*n**3 - 127 + 27\/4*n - 3\/16*n**4. Factor m(c).\nAnswer: -3*(c - 1)*(c + 1)*(c + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1 - -9) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 39582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from fcfcffcf?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-114)\/22 + -1 + -4 + 10. Which is the second smallest value? (a) 1\/6 (b) x (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62 + -31364?\nAnswer: -31446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4297 - 4272. Solve 0*b - 30 = 5*b + 2*i, 0 = 5*i + f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 2*p - 2. Let l be u(2). Let r be ((-11)\/l)\/(-1) + -2. Suppose -2*x - 6 = 2, 2*d - x - 6 = 0. Which is greater: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 >= -13267\/661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q + 3633 = 18*q. Suppose q = 8*c - 37. Does 26 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 141 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 9 = 1. Suppose -b*x + 45 = -x. Suppose 3*p - 114 + 30 = 0. What is the remainder when p is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 902378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 4*q - 41. Let z be f(-19). Let s = z + 646. Is (3\/6 + 0)\/(5\/s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 165, 17 in increasing order.\nAnswer: -0.06, 17, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -399, -496, -595, -696?\n\"Answer: -s**2 - 94*s - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 48*q - 176. Let z be u(-74). What is z rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021046917 to 4 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -99991640.\nAnswer: -399966560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 305367.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2119 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1015 = -10*m + 2355. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*n - 165 - 1220 - 1233 = 326 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4875 and 73827?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 58. Let j be u(-35). Which is greater: -7 or j?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -967*i**6\/30 - 497*i**2\/2 - 621*i. Differentiate j(w) with respect to w.\nAnswer: -3868*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + 14*q**2 + 24*q. Give x(8).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166319 is divided by 86?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**6\/360 + n**4\/24 + 5*n**3\/3 + 9*n. Let h(b) be the second derivative of p(b). Determine h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53605 - 53607 - 19*p**3 + 12*p**3.\nAnswer: -7*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x + 4. Let l be q(-1). Suppose 3*v - l*v = -16. Suppose v*m + 8*m = 16570. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3*d + 3 + 3, 4*m - 2*d + 4 = 0. Suppose 3*z = 4*z + 4*v - 22, m = -4*z + 3*v + 50. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 + 82*k - 157. What is i(-29)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -0*p - 5*l + 21730, 0 = -l. Let w(b) = -p - 9*b + 4346. Let j(k) = -4*k**2. Calculate j(w(s)).\nAnswer: -324*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 679, 1354, 2031, 2710, 3391, 4074, 4759?\nAnswer: 5446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.6 (c) 0.9 (d) 238 (e) 2\/11 (f) 3 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/23940 and -71\/270180.\nAnswer: 1891260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107980 + 107980 + 6*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*o - 4*c = -116*o + 483, -779 = -5*o - 2*c. Is 33 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2\/23 (b) 10 (c) -1.1 (d) -2\/13 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*2 - (-30)\/10. Suppose -3*n**3 + 10*n**3 + r*n**3 + 6*n + 15*n**2 + 3*n**4 = 0. What is n?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**3 - 8*n**2 + 3*n + 3. Let x be b(3). Suppose -x - 230 = -5*o. List the prime factors of o.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0625 times 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -29. Let a be w\/(-12) + (-3)\/(-9). Suppose a = -7*y + 10*y - 114. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(48)\/sqrt(4))\/sqrt(4))**2 - (4 + (sqrt(27)*-1)**2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 21*h**3 - 3*h**2 - 20*h + 13. Suppose -2*j - 4*j = -36. Is l(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460864 + 516810 - 239690 = 7096*m for m.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 42.401646355+-0.993\nAnswer: 41.408646355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2897282 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(2508\/1408)*30\/56*78\/195?\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 39 + (-3)\/(1 - 2). Let q = z + -23. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112358 to the power of 1\/2, to the nearest integer?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6334 - -2178. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800804?\nAnswer: 2, 200201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.03 + -0.03. Let v = -77071\/39 + 5929\/3. Which is the nearest to 0? (a) v (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 22111774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 167, 148, 91, -10, -161?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 7*w**2 + 6*w. Let n be q(-6). Let t be (-2 - -3)\/((1 - -3)\/20). Solve 4*s - s = 4*y + 1, t*s + 2*y + 7 = n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -91*d**3 - 4*d - 3. Let f be a(-1). Suppose -f*q + 97*q - 70 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*3)\/(-4*(sqrt(10) + (sqrt(10) + sqrt(250) - sqrt(10)) - sqrt(10))).\nAnswer: -3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(600)*2)\/sqrt(12) + sqrt(50) - sqrt(50)))\/(sqrt(60)\/(sqrt(6) + (sqrt(6) - sqrt(96))) + (sqrt(30)*1 - sqrt(30))\/sqrt(3)).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/3)\/((-7)\/(-3)). Let l = 844 + -2534\/3. Which is the closest to l? (a) o (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Let o(b) = 0*b + 4 - b**x - 5*b - b**3 + 3*b - 5*b**2. Determine o(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (306\/12 - -6) + (-6358)\/(-1156).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1660808 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - f**2 + 0*f**2)*(-5153*f**2 + 5153*f**2 - 37*f**3).\nAnswer: -37*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5384 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849 is divided by 770.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 2*a**2 + 5*a - 6. Calculate b(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -718*h**3 - 17233*h**2 - 31*h - 186. Give t(-24).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + -2 - (-276)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 16*g - 1. Let z = -5 - -7. Suppose 3*d - z = 2*l, 2*l - 14 = -4*d - l. Is u(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1487970 and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2077 - -5961. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -1, 3, 2.\nAnswer: -8, -5, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3273 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2091 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 12:58 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1373553 to the power of 1\/2, to the nearest integer?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 (base 8) in base 16?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 137728584329 from 0.054.\nAnswer: -137728584328.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 308 and 5?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222102110 + 102101?\nAnswer: 1222211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 229623*k**2 + 2525580*k - 6887700.\nAnswer: 3*(k - 76530)*(k - 6)*(k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b + 2. Let s(u) = -3. Let n(r) = -r - 6. Let q(k) = 2*n(k) - 3*s(k). Determine 5*c(a) + 4*q(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(44\/(-4224)*16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1261.99999955826 + 1262. Round v to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 46 + 2. What are the prime factors of (-9 + z)*(-35 + -2)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 328789448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3*sqrt(180))**2 - 3*3*sqrt(5)).\nAnswer: -9*sqrt(5) + 1615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {f: 2, c: 10}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3312 and 2024?\nAnswer: 36432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -625.6 to the nearest integer.\nAnswer: -626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/60 - n**4\/6 - n**3\/2 - 4*n**2. What is the units digit of z(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 203, 512 in descending order.\nAnswer: 512, 203, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 17 - 13. Let c(m) = -4*m + 5*m + 6 + 27*m + m**2 - 26*m + 4*m. Let n(i) = i**2 + i + 1. Determine p*n(v) + c(v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 h when four letters picked without replacement from hbsshxxshsxhbm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1035*g - 37586 = -3958 - 17310 + 39572 for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from {x: 3, m: 9, p: 1, v: 3, z: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - (sqrt(2736) + -1))*4*3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-12))\/(3\/8). Suppose 0 = -x + l*x - 3*z - 12, 0 = 4*z. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppmbkom. What is prob of picking 1 b and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**5 - 11*x**3 - 3552*x?\nAnswer: 60*x**3 - 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 - 25*r + 62. Let x be q(-15). Which is the third smallest value? (a) 0 (b) 4\/3 (c) x (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 102\/(-117)*30\/8. Let j = -3\/13 + x. What is the common denominator of j and -37\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 367, 629, 801, 871, 827, 657?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621719629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 4*o + 76. Let g(j) = -j - 7. Calculate g(m) + p(m).\nAnswer: m**2 - 5*m + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -67 in 1, 5, 1254\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -9887 and -464732\/47 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657875?\nAnswer: 5, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 2*r**2 + 0*r**2)*(3*r + 3 + 2*r - r).\nAnswer: 4*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 17, -84, 4, -2\/9, 1 in descending order.\nAnswer: 17, 4, 1, 4\/7, -2\/9, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1953*x + 4824*x = 64469 + 30274 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.06 - -0.06. Let m = -0.37 + -0.03. Let p = 2\/27 - 11\/27. Which is the third smallest value? (a) u (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4566700180 to the power of 1\/2, to the nearest integer?\nAnswer: 67577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16436421 is divided by 4109077.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 + 6*p**2 + 21*p - 2. Let h be l(5). Which is the fourth biggest value? (a) 1\/6 (b) -10 (c) h (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 11031, 2 in increasing order.\nAnswer: 2, 23, 11031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 9, j: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3296, 3259, 3226, 3197, 3172, 3151, 3134?\nAnswer: 3121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 212\/5 + -42. Which is the nearest to 2? (a) -6 (b) -4 (c) 9 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 1. Let k = -71 + 69. Let b(m) = -48*m**3 - 32. Let q(d) = k*b(d) - 6*c(d). What is the first derivative of q(j) wrt j?\nAnswer: 270*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15384 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -198*d**4*t**2 + 14477*d**3*t**3 + 874689*d**2*t**2 + 13*d*t**3 wrt d?\nAnswer: -4752*d*t**2 + 86862*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.3634 micrometers in centimeters?\nAnswer: 0.00813634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 + 11911*f - 35728. Calculate n(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -21. Let i = -88\/9 - -149\/18. What is the biggest value in -4, i, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 170140, 170423, 170706?\n\"Answer: 283*z + 169857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**34\/(s\/((s*s**(-1\/21)*s*s)\/s))*s**24\/(s**0*s) assuming s is positive.\nAnswer: s**(1217\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 959800, 959899, 960062, 960289, 960580?\nAnswer: 960935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - p - 21. Let z(u) = -u**2 - 6*u + 8. Let m be z(p). Suppose m = 2*l - 3. Calculate the remainder when 4 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1*(-2)\/6). Suppose -2*x + 5*x = -2*a + 17, 5*a = -5*x + 30. Suppose 12*q + 20 = 17*q. Sort q, x, z in decreasing order.\nAnswer: x, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002105 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*m + 36, 4*m + 2*g + 42 = 78. Solve -3*i - 3*r = m, -2*i = 3*i - r + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -924 divided by -4?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eezezvhezezeh. What is prob of sequence vhzh?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 79 * -1232000\nAnswer: -97328000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 368*a - 1. Let t(f) = -122*f. What is 7*t(d) + 2*u(d)?\nAnswer: -118*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83956232?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 14*g - 17. Suppose 0 = -a - 3*m + 1 + 16, a + 4*m = 20. Let y be o(a). Let r = -37 + y. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -20, -15, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*c - 103, u - 31 = 5*c + 26. Suppose 3*v = -w + 16, -2*v + u = 2*w + 2*v. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 11*k**2 - 12*k**2 - 5.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27\/26 - 85\/182. Suppose g*z**2 + 2\/7 + 6\/7*z = 0. What is z?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 112?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 12. Let w be g(-7). Suppose -m - w = -25. Calculate the remainder when m is divided by 3\/(-9) + (-198)\/(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899065691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dddddddddhddddd?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/63 + 36\/(-14). Let o(n) = 5*n**2. Let l(j) be the first derivative of 2*j**3 - 2. Give p*l(b) + 3*o(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4143 + 10465 = 22*w. List the prime factors of w.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4944339 to the power of 1\/2, to the nearest integer?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 66?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13103533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 358695 + k - 8*k**3 + 359188 + 13*k**3 to the form b + a*k + x*k**3 + c*k**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 6:18 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 10*f + 2. Let p be n(-10). Let i be p\/(-3)*87\/(-2). Let z = i - 24. Solve -z = -5*b + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/175*75\/((-675)\/(-78))\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304887 is divided by 839?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (58 - (0\/2)\/(-3))\/((-2553)\/115). Is -3 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, 5, -5 in increasing order.\nAnswer: -11, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 817 - 293. Suppose -530*k = -m*k. Solve 5*g = 2*a - 26, k = 4*a - 4*g - 23 - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/56 and -101\/44?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(1 - 1 - k) + 0*k + 4*k - 2*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 59, 318, 585, 860?\n\"Answer: 4*m**2 + 247*m - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 119\/(-28) - 2\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9588085 - 4*d + 19176154 - 9588061.\nAnswer: -4*d + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 5 - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19.41 times 0.1\nAnswer: 1.941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, r: 3, h: 2, d: 7, x: 1}. Give prob of sequence dr.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27755090383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**3\/3 - w**2\/2 + 27*w + 3. What is the tens digit of d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 1 + 134 + -4. What is the tens digit of (o\/4)\/(138\/1288)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 3. Let a be 14\/p + (-1)\/2. Suppose -a*g - 40 = -8*g. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*15\/120*5\/15. Solve -208*m + 229*m + 21 = v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/4, 0.4, -0.1, 2, 139, -2\/3?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202590, -202618, -202646, -202674?\nAnswer: -202702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30038 + 30034 + 2\/(-3) + (-73)\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17868 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12171007.\nAnswer: 557, 21851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/11750 (b) 10 (c) 4\/5 (d) -1\/2 (e) 2 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 3\/206, -0.3, -3\/7?\nAnswer: 3\/206","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1435, -49, 135 in increasing order.\nAnswer: -1435, -49, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -267 - -184. Let z = -76 - w. Suppose 0 = 13*j - 9*j - z*j. Which is smaller: -4\/17 or j?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 - 5 = 0. Suppose -j + 20 = w*j. What is the greatest common divisor of j and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -y + 5*w, 2*y - 4*w = -9*w + 163. What is the highest common divisor of 1104 and y?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 138438467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34427 - 2*y**3 + 34427.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*x + 38*x - 45 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2134363 + 2134354. Let p(j) = -j. Let l be p(2). Suppose -b = -3*b. Put -5, h, l, b in decreasing order.\nAnswer: b, l, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(448)*3 - (sqrt(1792) + -1)).\nAnswer: -4 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 6 - (-1 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15221727 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2\/4 + 591269*z\/4 - 197089\/2 = 0. Calculate z.\nAnswer: 2\/3, 197089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -335 + -5?\nAnswer: -33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 636016 divided by -1016?\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/44)\/((-3)\/(14*6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.15 + 2.15. Which is the closest to 2? (a) x (b) -0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {r: 3, c: 3, m: 3, u: 4, v: 1, i: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/93977 in -2\/3, -2, -159?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/33 + (-1 - (-31)\/3). Suppose o + x = 5*q, -3*q + 10 = -3*o + 2*q. Solve -4 = 4*v - o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.18955 or -4?\nAnswer: -0.18955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3\/(((x**(-9)*x*x)\/x)\/x))\/(x\/((x**2\/x)\/x))**8 assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*y - 3*c + 3, 15 = -5*y - 2*c. Let l(t) = -72*t - 7. Let r be l(y). Let a = -150 + r. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - -0.1. Let s be (10\/(-20))\/((8 - 36) + 17). Which is the closest to n? (a) s (b) -0.5 (c) 1 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -18*n - 312. Calculate the remainder when q(-37) is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*r = 4*q - 109, 0 = 4*q - 3*r - 150. Suppose 130 = -4*c - 5*m, -4 = -4*m + 2*m. Let u = c + q. Calculate the highest common factor of u and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.097 and 159026.\nAnswer: 159025.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -6*z + 12. Let o = 5 - z. Suppose -o*v = -v - 9. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33099.1 rounded to the nearest 1000?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 12876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -22. Let v be (-2 + 15\/6)*g. Let t(i) = 73*i**2 - 2*i - 1. What are the prime factors of t(v)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-7)\/((-21)\/6)). Let y = 3 + p. Let i be 1*((-45)\/(-3))\/y. Solve -11 - i = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*n**3 - 13*n + 13*n - 520*n**3.\nAnswer: -634*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 11*k + 6 - 14 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 2:25 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(2\/7)))\/(x*x**(3\/4)*x))**(2\/107)*(x\/(x\/(x*x**4)*x)*x**(1\/4))\/(x**(1\/3))**2 assuming x is positive.\nAnswer: x**(31865\/8988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + x + x**2 + (-x**2 + 3*x**2 - 5*x**2)*(-1 - 3 + 3) - 93 + 93 - 82*x**2 to a + l*x**2 + y*x and give l.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - -1) + -1 - (-46 - -89 - 44)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 29. Let x be k(14). Suppose 0*i + 8 = -2*i. Put i, x, -2 in increasing order.\nAnswer: i, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -80, -188, -370, -626, -956?\n\"Answer: -37*m**2 + 3*m - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100567 = 946*i - 2447*i for i.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttlt when four letters picked without replacement from {t: 8, l: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749532253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82139333927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - h + 118, 102 - 25 = -y - 4*h. Let a = y - -52. List the prime factors of 284\/18 + ((-4)\/a)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.445 + 4.745. Which is the closest to -1? (a) 4 (b) 1\/4 (c) 2.2 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 193912156 from -1196266.\nAnswer: -195108422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 410\/3 + 0 + 118\/(-177) and 48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/30 - d**4 + 11*d**3\/3 + 27*d**2 + d. Suppose c(t) = 0. What is t?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*b = -1532 + 489, -5*b + 1730 = 5*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 8*h**2 - 6*h - 15. What is k(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2921*x**4 - 446*x**3 - 7419216 wrt x.\nAnswer: 11684*x**3 - 1338*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122511, 122418, 122325, 122232?\nAnswer: 122139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 171717\/147 - 3\/21. Differentiate -1168*n + n**3 - 43 + 4*n**2 - 4*n**3 + h*n with respect to n.\nAnswer: -9*n**2 + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2149.836 rounded to zero decimal places?\nAnswer: -2150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106453 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002202111 (base 3) in base 6?\nAnswer: -244234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + 6490\/(-177) - 10\/(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 63*i**2 + 2*i + 1. Suppose -5 = 5*q - 0*q - 5*y, -y = 2*q + 2. Let u be (-8)\/10 + q\/5. What are the prime factors of b(u)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 5*k**2 + 3*k + 6. Let m(f) = f**2 + 23. Let a be m(9). Let z = -104 + a. Suppose z = 3*i - 80 + 92. Give o(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -20*g + 6. Let a(l) = 14*l - 4. Give -8*a(z) - 5*k(z).\nAnswer: -12*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-4) + 1\/4. Suppose o*y - 8 = y - g, -g - 10 = -y. What is the second derivative of -y*q + 2*q**3 + 4*q + q**3 + 13*q**3 wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3. Suppose 0*w - 5 = -w. Let y = j + w. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 40501*x - 3109. Is d(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0378792 to three dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**3*u**2 + 1783*q**2*u**2 + 5*q**2 - 19*q*u**2 - 224*q*u + 2*u**2 wrt q?\nAnswer: -12*q*u**2 + 3566*u**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0 = 18. Let q be 111\/j + 2\/(-4). Suppose 98 = a - 2*t, -5*a + 4*t = 37 - 557. What is the greatest common factor of a and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -1\/4, -0.08, 5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = -0*q + 20. Suppose -4*r - 9 = -1, 4*f + q*r = 9928. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 43886*a + 394905. Determine r(-9).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 4:56 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*y - 69*y + 10*y + 840. What is the smallest common multiple of y and 1047?\nAnswer: 4188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = 6828*x - 6843*x. Let u(c) = -c + 28. Calculate the lowest common multiple of x and u(0).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.43 (b) 3\/8 (c) -1\/3 (d) 1\/5 (e) -45 (f) -7\/145\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20472186.\nAnswer: 2, 3, 7, 181, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 93903582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(891) + -1 + sqrt(891)) + (sqrt(891) + 1 + 1)*5.\nAnswer: -27*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(200) + 1*sqrt(200)*4)*1)**2 + -5.\nAnswer: 19995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -662781, -663301, -663823, -664347, -664873, -665401, -665931?\n\"Answer: -v**2 - 517*v - 662263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(66)*-4 - sqrt(66))\/sqrt(6)*-5 - ((sqrt(1331) - (sqrt(1331) - (sqrt(1331) - (-3 + (sqrt(1331) - 5*sqrt(1331))))))*6)**2.\nAnswer: -1198226 - 11855*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6825345?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 2)*(3*u - 2*u + 0*u) + 0*u + 2*u - 7*u + 0 + 0 - 3*u to p + b*u and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*((-4008)\/360 + 11)*25.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -92792 divided by 46396?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 491 + 310. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.779365 + -0.78. What is c rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 491*i**4\/4 + 493*i**3\/3 + 10*i - 70. What is the second derivative of t(w) wrt w?\nAnswer: 2946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 - 20 = 0. Let a = -27 + s. Is 3\/2*a\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + i**2)*((0 + 0 - 2*i)*(4 - 3 - 2) - i - i - i) to g + r*i + j*i**2 + d*i**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9*a**3 - 23*a**2 - 14*a. Let f(p) = 13*p**3 + 35*p**2 + 22*p. Let i(v) = -5*f(v) - 7*j(v). Find s, given that i(s) = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55.8724 and 0.02.\nAnswer: -1.117448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 7*q**2 + 3*q + 6. Let u be h(-7). Let y(w) = -w**3 - 15*w**2 - 6*w - 22. List the prime factors of y(u).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-35432)\/(-7) - 368\/(-1288)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*m**3 - 18418*b*d*m + b*m**3 - 1213*d*m**3 + d*m**2 - 2*d + 2*m**3 wrt b.\nAnswer: -4*b*m**3 - 18418*d*m + m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 646 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 1 - 0)\/(-1). Suppose z = -6*o + 2*o + 12. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*u**3*w**2 + 28*u**3*w - 114*u**3 + 1034*u*w + 34*u - 3 with respect to w.\nAnswer: 6*u**3*w + 28*u**3 + 1034*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24974634?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6*x = -36. Suppose s + 4255 = 4*b, 0 = b - x*s - 601 - 459. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 11:35 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 15*p**2 + 3*p - 9. What is the smallest common multiple of 5\/((-15)\/18) + 30 and d(15)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5175 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -93695792 > -281087378\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 8)\/(-3*(-2)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-3))\/(2285\/13710).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 28*z - 44. Let i be g(7). Suppose -2*m + i = -4*c, -m - 5*c = -30 - 60. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5 + 1824*a**4 - 264219*a**3 - 3950538*a**2 - 17275428*a - 20891736 = 0. What is a?\nAnswer: -6, -2, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 9 = 4*g. Let q(n) = 14*n - 2. Let u be q(g). Let w = 48 + u. Solve 5 = -w*j + 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5552087 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (5 + (sqrt(1088) - (0 + sqrt(1088)) - sqrt(1088)) - (sqrt(1088) - ((4 + sqrt(1088) - sqrt(1088)) + -1) - sqrt(1088))))*-3)**2.\nAnswer: -1008*sqrt(17) + 10233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-25))\/(13\/65)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afsfafsiawa. What is prob of picking 1 w and 1 f?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 1:41 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*w**4 - 111*w**3 - 11*w**4 + 112*w**3)*(4 - 3 + 3).\nAnswer: -412*w**4 + 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/89043 and -73\/30.\nAnswer: 890430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**4 + 6*r**4 - r**4 + (-5*r + 10*r + 18*r)*(-157*r**3 - 189*r**3 - 180*r**3) to u*r**3 + b*r + m*r**2 + v + c*r**4 and give c.\nAnswer: -12097","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/57, -1.02, -2?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -452b3a (base 13) to base 16.\nAnswer: -18efe7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (145 - -5) + -17 + (4 - -1). What is the greatest common factor of 9131 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 84 = -9*y. Let h = y - -16. Let i be h\/(-10) - (-2)\/4. Let x(m) = 9*m**3 - 2*m**2 + 1. Calculate x(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 13 = -2. Let t(g) = -40*g**2 + 4*g - 6. Let j be t(4). Let l be (-1)\/x - (-66)\/j. Which is the third biggest value? (a) 0.2 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -325 divided by 13\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 4928 = -8*z. Let x(r) = r**3 - 6*r**2 + r - 3. Let t be x(6). Suppose -o + z = t*o. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 13 = -q. What is the first derivative of 0 + q*r + 14 + 13 - 22*r wrt r?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -269*p - 1622. Determine i(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -639191, -639212, -639233, -639254?\nAnswer: -639275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3262 is divided by 368.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35.5 - -43.6. Is w at most as big as -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 0. Let c = q - -41. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12738, -12739, -12740, -12741, -12742, -12743?\nAnswer: -12744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 0*s**4 - 2 + 2\/5*s**5 + 0*s**2 - 4\/3*s**3 - 319*s. Find the first derivative of y(p) wrt p.\nAnswer: 8*p**3 - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Suppose -6 = -u*r - 0*r. Suppose 5*m - z = -16498, r*z = 5*m - 10*m - 16506. What is m rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, g: 8}. Give prob of sequence ggh.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*g = -7 - 4, -5*g = -2*a - 8. Solve -5 = -4*i - 5*p - a, -2*p = -4*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58064*l**3 + 0 + 1799*l**3 + 0.\nAnswer: -56265*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3648*x - 1487*x = -984*x + 297230 + 271457 for x.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1866, 1923, 2034, 2199?\n\"Answer: 27*t**2 - 24*t + 1863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 18*r - 21. Let g be k(-18). Is g > -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25191*l = -12699*l - 12663*l + 4617 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 676 - 198. Let t = s - 477. Which is the fourth biggest value? (a) -0.1 (b) t (c) 7\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.4 + 29.6. Let y = -39 + p. Let s = -8\/5 + 1. What is the smallest value in 4, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 846.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5 = 2*i, 0 = -3*i - 5*w - 3 - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from {a: 1, g: 2, z: 1, n: 1, s: 1, y: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2 + 6*p - 11. Let r(z) = 5*z**2 - 12*z + 21. Let v(b) = 7*a(b) + 4*r(b). Factor v(k).\nAnswer: -(k - 1)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13*z + 90. Give f(16).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 908829*x - 909448*x - 14856 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 9*k**2 + 6*k - 10. Let j be 4\/(-10) + (-34)\/(-10). Suppose -37 = j*i - 13. Calculate the remainder when b(i) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/8 of a decade?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494825009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*r - 22 + 22 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 21*c**2 + 148*c + 11. Let o be k(-7). Is (-14)\/o + (-60444)\/(-72) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 82 = -4*n - 4*f, 0 = 5*n - 3*f - 61. Suppose -j - c + n - 5 = 0, 2*j = 5*c - 17. Factor j*x**3 + x**2 - x**3 - 4*x**2.\nAnswer: 3*x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -21. Suppose 0 = 4*n - 3*b, 0 = -2*n + 13*b - 11*b - 2. Solve -n*t + 9 = -s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1231, -4\/3, 0.17?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 316021901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 8 = -4*g. Suppose 0 - 56 = -g*v. What is the remainder when 26 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*(-5)\/(30\/27)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3748 divided by -9?\nAnswer: 3748\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 6. Let i be 1 + (-3 - -6 - y). What is the third derivative of 0*m**3 + 6*m**2 + m**2 - m**i - 10*m**2 wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 212002?\nAnswer: 211332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -25. Suppose 4*d - n = 2*j - 0, 0 = -2*d - j + 10. Solve -d*i = -7*i + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000257994 rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5, 9 in decreasing order.\nAnswer: 9, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/19, -5, -0.4, 6\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*t**4 - 10*t**4 + 7*t**5 + t + 3*t wrt t?\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14, -3.1, -5, -4, -1, 0 in decreasing order.\nAnswer: 14, 4, 0, -1, -3.1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 6*i**2 - 3*i + 5. Let a be x(-6). Let p(f) = 11*f**3 - a*f**3 - 4*f**3. Calculate p(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 t, and 1 m when three letters picked without replacement from {t: 2, j: 1, m: 9}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -130*v - 1519 = -2102 - 2667 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 76903 divided by 1451\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sddjnfjjsjjd. Give prob of picking 1 n, 1 s, and 1 f.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1138 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -1. Suppose 13 - 73 = -q*y. Calculate the remainder when 22 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/4)\/g)\/g*g)\/((g*g**(2\/17)*g)\/g)*(g*g**2)**34 assuming g is positive.\nAnswer: g**(6741\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*1\/(-2))\/((-7)\/((-196)\/91)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 10:42 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -2)*-4*(-2)\/80\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j - 8. What are the prime factors of o(-9)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooroororr. What is prob of sequence or?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h + 148. Let m be (-6)\/9*6\/(-2). Suppose m*f = -3*f. Is 37 a factor of o(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h = -21*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9513026 is divided by 929?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*o + 4*k = 74*o + 24, -20 = 8*o + 3*k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14245447 + -0.2\nAnswer: -14245447.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -2\/3, 7.9, 1\/2, 3 in ascending order.\nAnswer: -2\/3, 1\/2, 3, 7.9, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 37410980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67997 (base 10) to base 12.\nAnswer: 33425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2 + 17*b. Let w(k) = 109*k - 1414. Let y be w(13). Let n(a) = 2*a**2 + 8*a. Determine y*o(g) - 7*n(g).\nAnswer: g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 33 = 4*y, -3*y + 4*q = 2*q - 26. Suppose -5*t = -t - y. Is 5\/8 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*4\/(-24)*-2*2\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h - 6*h + 11*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - -4)\/(-1 - -3). Let q = -55 - -50. Let k = -2.9 + -1.1. Sort m, k, q in decreasing order.\nAnswer: m, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/7 - 870\/(-21). Suppose 0 = -4*d - 3*q - b, -5*d - q - 52 - 13 = 0. Let l = d - -19. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 1:01 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1695898591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -3 (c) -1\/11 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -h - 4*t, -9*t + 4*t = -h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 2*k - 4. Let z be a(-3). Let x be 2\/z*2*2. Let o(g) = -g**2 + 4*g - 2. Let c be o(3). Is x at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2 + 37)*1)\/(1 + 5). Let i = 6 - q. Are i and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b + -17?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 16 - 12 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 2, 3\/4, -2\/9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 18\/4 + -14 + (-76)\/8\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 10*h + 20. Let d be f(-4). Let q be (-12)\/d + (0 - (-78)\/9). Solve -q*r = -8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 15*d**3 + 15*d**2\/2 - 2. What is the second derivative of i(g) wrt g?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 771\/4, -3\/11, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 31096 * 0.3\nAnswer: 9328.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 3*m + 3. Suppose -l + 4 = -q, 7 = -3*q + m. Sort 2\/3, l, -2 in descending order.\nAnswer: l, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1808 and 8578508.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102034410 (base 5) to base 7.\nAnswer: -3415121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-770)\/1225)\/((56\/(-35))\/(-8))?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 246833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.61 + 3.61. What is the closest to z in -35, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2626.\nAnswer: 1\/2626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 427 and 21167.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 5*a**2 - 7*a - 8. Calculate l(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(27) + 4)**2.\nAnswer: 72*sqrt(3) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 16) to base 2\nAnswer: -110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 + 0)*(-96 + 72*o + 96)*(-4 + 6 + 0)*(-1 + o + 5 - 2)*(3 - 5 + 1).\nAnswer: -864*o**2 - 1728*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 42.05. Let l = 1.0500552 - h. Round l to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1113222322212?\nAnswer: 1113222322223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1824797.\nAnswer: 13, 17, 23, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 24*s + 8 - 2*s**2 - 24*s - 18*s**3 + 6 + 47*s to n*s**2 + k*s**3 + a*s + w and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**4 + 6539005*r**3 + 86489*r**2.\nAnswer: 24*r + 39234030","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 6 (c) -258 (d) 0.51 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-7722)*39 + (-68)\/2088)*-15\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1900*d = -1695*d + 3201*d - 12608 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + ((-27 - -57) + -139 - -24)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2 + 94 + 0. Suppose 0 = i + 4*m - 36, m = 4*i - 0*m - x. Suppose 4*o + 3*z = o, -3*o = -3*z - i. Solve 5*l + 2*t = 9, -o*l + 21 = l - 2*t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**2 - 4*p + 1. Let a(m) = 14*m**2 - 11*m + 3. Let x(c) = c**2 - 15*c - 42. Let t be x(17). Let h = -7 - -10. Calculate h*a(w) + t*n(w).\nAnswer: 2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93411 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -6*b + 108. Let f = 151 + 5. Calculate the greatest common divisor of b and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5777439*j**2*m**2 + 3554736*j*m**2 wrt j.\nAnswer: 11554878*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - sqrt(252)*-2)*1)\/((2*sqrt(500))\/sqrt(5)).\nAnswer: 9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 12 = 8*h + 36 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(7) + 2 + 5 - 4*(sqrt(7) + 2).\nAnswer: -2*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/120 and 22\/35?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**3 - 355*w - 258 with respect to w.\nAnswer: -6*w**2 - 355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 84\/20*(417\/(-135) - -3). Let a = -1\/25 - p. Is 10 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2211 and 1608?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibuicibmcuuifii. Give prob of sequence bmii.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 27 (c) -638\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 28 - 5*h + 0*h**2 - h**2 - 7*h + h. Let l be x(-13). Suppose -24*w**l - 8 - 45*w**4 + 44*w**2 - 30*w**2 + 107*w**3 - 44*w = 0. Calculate w.\nAnswer: -2\/5, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5284222.\nAnswer: 2, 2642111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by -124.\nAnswer: -32\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4712894 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**6\/40 + 5*k**4\/24 + 35*k**3\/3 - 56*k**2. What is the first derivative of v(o) wrt o?\nAnswer: -9*o**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/(-8) + 1)*638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5920\/48)\/((-3170)\/951)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*q - 6 = -1, -38283*a + 5*q = -38285*a + 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24864 by 7.\nAnswer: 3552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t - 20 = -4*m, 0 = 4*m + 20. Let x be ((-2)\/(-5))\/(36\/t). Let l = -191\/4 + 48. Which is the nearest to 0.4? (a) x (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 + 74*x - 21. Give t(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2, -5, -18, -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -17*d**2 - 289\/1008*d**8 + 0*d**4 + 3 - 2\/45*d**5 - 17\/21*d**7 + 0*d + 11\/30*d**6 + 0*d**3. Let l(a) = 0. Calculate a.\nAnswer: -2, 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188462820 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(-2)*(-12)\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 146, 274, 426, 608, 826?\n\"Answer: j**3 + 3*j**2 + 94*j - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 0 + 3 - 1 + 1 - 1 + 0 + 1 - 2 - 3 - 1 + 8 + (-1 + 1 - 2)*(3 + 0 - 1) - 4 + 11 + 5)*(-a - 2*a - 1 + a) in the form s + b*a and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 6*s + 25. Let c(h) = -15 - h**3 + 11 + 3 + 10*h + 9*h**s. Calculate c(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11572 times -84642\nAnswer: 979477224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 5. Let m be t(-4). Let w be (-43)\/5 - m\/(-15). Let c = 11 + w. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*j**2 + 88?\nAnswer: 38*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1196 and 117416.\nAnswer: 2700568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 2)\/((-1)\/5). Let v = 7 - 62. Let j = v - -84. Solve d - 3*d = b - 13, -d = z*b - j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2. Let c = -64 + 68. Let w(u) = -u**2. Let l(s) = c*f(s) - 5*w(s). Let a(g) = 2*g. What is a(l(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 2. Let l be q(1). Solve -l*s + 2 = 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 5*n = 4*s - 5*s + 11, 62 - 15 = -5*s - 9*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -749\/2 + 1531\/4. Suppose 3*j - 2*o = 2*o + 16, -3*o - 12 = -j. What is the common denominator of j - (6 - 1407\/98) and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.35994431 rounded to two dps?\nAnswer: -73.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g. Let f(r) = 5*r**2 + 2*r + 19. Determine f(h(w)).\nAnswer: 125*w**2 - 10*w + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + e851236?\nAnswer: e851233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n*s + 74*n + 331*s wrt n.\nAnswer: 2*s + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5610, 11748, 17900, 24072, 30270, 36500, 42768?\n\"Answer: p**3 + p**2 + 6128*p - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(1\/7*-2). Let k = -25 - w. Calculate the remainder when 28 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 232 - 1621\/7. What is the closest to -0.1 in n, -2, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5529*0.5.\nAnswer: 0.27645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 18*k**2 + 41*k + 212. Let f be q(-10). Let u be ((-6)\/4)\/((-1)\/(-2)). Which is the biggest value? (a) f (b) -1.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -56. Let m = f - -57. Suppose m*r - 22 = 10. Which is the fourth biggest value? (a) 2\/13 (b) 0.5 (c) -3\/7 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62*p*q**2*u - 455*p*u - 11463*q**2 - 5*q*u wrt p?\nAnswer: -62*q**2*u - 455*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6, -578 = -w + 3*r - 142. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/4684 and 23\/7026.\nAnswer: 14052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 1.07\nAnswer: -3.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2455066.27 to the nearest one thousand.\nAnswer: 2455000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-22 - (-2296)\/21)\/(2\/78)?\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 3*m. Let l = m + 0. Let g be 2*((-225)\/(-6))\/15. Solve l = -0*q - g*q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*a - 35 - 622 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00295632 to 4 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/1*(-3 + 4). Let c = 3 - 0. Suppose 0 = -c*j + 6*j. Does j = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 12:05 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5 - 486*x**4 + 2352*x**3 + 486*x**2 - 2355*x = 0. Calculate x.\nAnswer: -1, 0, 1, 5, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*o - 7*o - 9*o + 5*o**3 - 2*o - 72*o**2 to the form v*o**2 + m + s*o**3 + z*o and give v.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.3 and 6948.9.\nAnswer: 6947.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -942000 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -646888 divided by 11.\nAnswer: -58808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 16) to base 3.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 5, 74*m - 73*m + 4*n = 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.031 - 3.969. Let u = -17 + -3. Let o = -21 - u. Is a bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c. Let l(u) = -13*u**2 - 13*u**2 + 74*u**2 - 29*u**2. Determine l(i(h)).\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6\/5)\/d)\/(d**(-21)*d))\/(d**(-2\/23))**12 assuming d is positive.\nAnswer: d**(2167\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*z + 149 + 24 + 892 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-12) - (-14)\/3. Solve -4*p - 3*l = -7, -z*l + 16 + 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Let h = 1 - c. Suppose -245*o + 201*o = 0. Does o = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356, -354, -352?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + n + 8. Let u be (-4)\/(-2)*2*1. Let i be h(u). Is -3 - (287\/(-2) - 6\/i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4161582120 to the nearest integer?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-56)\/12)\/((-8)\/5). Let n = 8\/3 - z. Let r = 326\/1299 - 5\/5196. Which is the nearest to n? (a) -21 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from innpnniiipiinnpini. What is prob of picking 2 p?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7265.484 hours in days?\nAnswer: 302.7285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/40)\/(6\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6486*y + 12906*y = 6574*y. Determine n, given that 1\/5*n**2 + y + 0*n**3 + 0*n - 1\/5*n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 5*z**4\/24 - z**3\/3 + 5*z**2. Calculate the remainder when 8 is divided by i(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 - 9) + -112 + 139 + -38 + 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-49)\/(-2))*-2. Let g = -14 + k. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 5.8.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1539)*2 + -5)*-6)**2 - (-1 + sqrt(152)\/(sqrt(8) - sqrt(8)*-2) - (-1 + sqrt(684) + -4 + sqrt(684))).\nAnswer: -19405*sqrt(19)\/3 + 222507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 22. Let m be 7 - ((-2)\/7)\/(2\/(-14)). Suppose 7*k - 5*f = 2*k + 255, 0 = m*k - b*f - 260. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2. Let o(u) = -2*u**2 - 1. Let y(k) = 9*b(k) + 4*o(k). Let c be y(3). Suppose 0*z - z = -c. Calculate the highest common factor of z and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 5) + (-18 - 0). Let u = 24 + o. Let d be (-58)\/(-18) + (-4)\/18. Solve 4*r + u = d*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0719 + -23.1681. Let m = 23 + p. Let d = 0.252 + m. Round d to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43 and -17\/230770194?\nAnswer: 230770194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 77\/11 + (6410700114\/(-18) - 2\/3). Round r to the nearest one million.\nAnswer: -356000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2994 + -2991.723. Let h = f + 0.173. Round h to 1 dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w + 73. Let q = -1 + w. What is the highest common divisor of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 2*o**2 + 4*o. Let g be f(-3). Suppose g = -6*q + 93. Suppose 5*y - 119 - 26 = 0. Calculate the remainder when y is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*91\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181588\/8605 - 9\/3442. Let b = w + -41\/2. Factor b*j**4 - 9\/5 - 18\/5*j**3 + 3*j + 3\/5*j**5 + 6\/5*j**2.\nAnswer: 3*(j - 1)**3*(j + 1)*(j + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 77*s**3 + 10*s**2 + s - 13. Let y be i(2). What is the greatest common divisor of y and 946?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1296 and 46170.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9453370?\nAnswer: 2, 5, 41, 23057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14200 + -9711. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2) + -2 + -5 - -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -10 - (0 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**5\/20 - r**4 + r**3\/2 - 18*r**2 + 5*r - 8. Calculate z(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (sqrt(200) - (sqrt(200) - (-5 + 2 + sqrt(200))))) + -5 + -2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 6*q**2 + 6*q - 1. Let j(v) = v - 1. Let p be j(6). Let r be w(p). Suppose 0 = 3*u - r*u + 55. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.538 - -18.6. Let m = f + -0.032. What is the nearest to 1\/6 in m, -0.2, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5 - 15*t**4 - 9*t**3 + 39*t**2 + 24*t - 36 = 0. What is t?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3*w - 4*w)*(2*w - w - 2*w) - 2*w**2 + 2*w**2 - 2*w**2 + (0 + 0 - 2*w)*(-2*w + w - w) - 3*w**2 + 3*w**2 + 2*w**2.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 25 = -5*j, 5*f = -j - j + 10. Suppose 6*n - n - 5 = f. Suppose w = -2*i - 3*i + 31, -w = -3*i + n. What is the remainder when w is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 12. Calculate the highest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-293 + 125 + 139)*(2 - 2 + w**4 + (3*w**3 - 2*w**3 + w**3)*(-2*w + 3 - 3) - 2*w**4 - 2*w**4 + 5*w**4).\nAnswer: 58*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h**4 + 2*h - 6*h**4 - 90*h**2 + 91*h**2 to z*h**2 + y + f*h + u*h**4 + r*h**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**3\/3 + g**2\/2 + 2*g - 4. Let s be m(-2). Sort 1, s, -5.\nAnswer: -5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/16)\/((-3)\/(-4)). Is w < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z**3 - 6185*z**2 - 172220*z + 28875 = 0 for z.\nAnswer: -25, 1\/6, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzuueuezzeruuu. Give prob of sequence ueer.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 1\/4*k**4 + 58*k**2 + 0 + 0*k + 1\/3*k**3 + 1\/12*k**5. Let p(h) = 9*h**2 + 11*h + 3. Calculate -11*i(s) + 6*p(s).\nAnswer: -s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 9 - 940*n**2 + 0 + 15.\nAnswer: -940*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*((-72)\/(-8))\/(-117))\/(-1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + (63 - 11) - (1 - -1 - 0)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12847*l*x**4 - l*x - 327*l + 273*x**5 - x + 88 wrt x.\nAnswer: 154164*l*x**2 + 5460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*y - 84704 = -2775*y for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4405*p - 4391*p - 22 = -2*t, 0 = p + 4*t + 64 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*q + 5*j - 2 = 218*q, -j = 5*q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**3\/6 - x. Let s(l) = 6*l - 3. Let k be s(4). Let v = -15 + k. Let u(y) = 8*y - 1. What is v*m(g) + u(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 9248709.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 4. Suppose -5*x + 3*j + 21 = 0, -17 = -5*x - 0*x + j. List the prime factors of w(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 93307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/(-30)*7\/(-42). Let a be (-169)\/22 - ((-399)\/77 - -5). Sort a, -1, o.\nAnswer: a, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3))**37*(w**(1\/4))**4)**(-1) assuming w is positive.\nAnswer: w**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 645 - 651. Sort f, 3, -2 in ascending order.\nAnswer: f, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 726, 769, 840, 939?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/43, 4\/57, -3 in descending order.\nAnswer: 4\/57, -3\/43, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(6 - 4 - 1)*(4*s + 3*s + 5*s).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 3*x - 8. Let d be n(4). Is d\/(-1) - (2 - 25) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) 7 (b) -1\/4 (c) 26 (d) 3\/4 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107 and 271673?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.153 and 44703664.\nAnswer: 44703664.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 7. Let b(d) be the third derivative of -d**6\/120 + d**5\/15 - d**4\/24 - d**3\/6 + 2*d**2. Let k be b(3). Give c(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*-10.2254\nAnswer: -1.227048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43236\/5 or 8648?\nAnswer: 43236\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzzg when four letters picked without replacement from zglzlzt?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 0.3 (c) 0.2047 (d) 229 (e) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/279, 895, 5.\nAnswer: -10\/279, 5, 895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -55505 (base 8) in base 16?\nAnswer: -5b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**5\/15 + 111*j**2\/2 - 144*j. Let v(f) be the first derivative of c(f). Let b(m) = -9*m**2. Give b(v(s)).\nAnswer: -144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/5)\/v**(-2))\/(v**(-1\/5)*v*v**(3\/7)))\/((v**(-1))**49*(v\/v**(2\/9))\/(v\/v**(-1\/14))) assuming v is positive.\nAnswer: v**(31919\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5165474 (base 8) to base 3\nAnswer: -2120122120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/2)*p)**5\/(p**(-5\/4)\/p**(-8)))**(-29) assuming p is positive.\nAnswer: p**(1073\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 14*g + 38. Let i be r(-16). Solve 2*n = i - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*b + 206 = -146*b + 5*s, -6*s = 30 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2801 + 4*s - 1629 + 11*s + 5*s.\nAnswer: 20*s - 4430","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7752 and 6783?\nAnswer: 54264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121210000120 (base 3) to base 12.\nAnswer: -3567b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*h + 89*h + 24 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3864 = i + 9*i - 194*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25610, -51363, -77116, -102869, -128622?\n\"Answer: -25753*s + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**2 + 4*s**2 - 2*s**2)*(5 - 3 - 3) + 13*s - 13*s - 3*s**2 + (s - 2*s - s)*(2*s - 2 + 2) to g + n*s + y*s**2 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 + 2*b**2 + b**2. Let n(y) be the first derivative of -y**5\/120 - y**3 + 3. Let u(q) be the third derivative of n(q). What is u(v(j))?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 748792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 13.4, -4\/45, 0.5, 0, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -148, 2\/13, -152?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2280 and 4?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13793 is divided by 209.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.04925972 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.97 and 8070.\nAnswer: 48177.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.46 + 13.34. Let b = 4.6 - 0.6. What is the second biggest value in 0, b, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 149093, 298190, 447287, 596384, 745481, 894578?\n\"Answer: 149097*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -36. Suppose 0 = -2*r - r - 33. Let d = -8 - r. What is the remainder when l is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 636762 + -7776865\/12. Let n = 11322 + k. Calculate the common denominator of 13\/30 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4)*2 - -2. Let m be -1 + (-26)\/(-22) + (-291)\/(-33). Suppose -t = w - 6, w + w = -x*t + m. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712974307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 4) + 0 + 11 - (-5 - -12). Solve -13*t + 9*t + 16 = -4*w, h*t - 14 = 2*w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1\/26, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -258 + 271.88. Let p = 15 - c. Let y = p - 1.1199871. What is y rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21037 - 131416 + x - 58643 + x**3.\nAnswer: x**3 + x - 169022","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 21*j + 38. Let a be o(-6). Let n be (-14)\/(-21) - a\/(-138). Is n bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 610 + -312. Let d = s + -297. Put -0.04, -0.1, d in descending order.\nAnswer: d, -0.04, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 3*j + 20, -h - 2*j = 15. List the prime factors of (380\/h)\/((-6)\/525).\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 14 = 2*o, 2*n - 4*o = -4 + 6. Suppose r - n*t + 23 = 6*r, 3*t = r - 19. Solve -4*x = 3*u - 25, -u - x = -0*x - r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -0.2\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*z - 28*z - 33*z as r + i*z and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-140)\/(-1600)*6\/35*55\/396\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.04 (b) -2\/11 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 - 128 = 5*m. Let j = 59 + m. Suppose -3 = 5*q - 18, 3*f + j*q = 39. What is the lowest common multiple of 22 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 1 - 13. Solve -13 = 2*k + c*k + 2*q, 0 = q + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 + -0.048468?\nAnswer: -0.018468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*l, -13 = -4*v + 2*l + 3*l. Suppose v*k - 3 - 5 = 0. Suppose -k*s + 7*s = 0. Solve s = 2*j - 2*f, 2*f = -2*j + j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 56\/5 of a millennium?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -742*w = -763*w + 105 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (20321\/21)\/(((-51)\/68)\/(9\/(-2)))?\nAnswer: 2, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 + x + 0*x**3 + 2*x - 12*x - 2*x**3 + 1. Let l(q) = -7*q**3 - 8*q**2 - 26*q + 4. Let s(k) = -17*b(k) + 6*l(k). Is s(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (sqrt(243) + 5 + (sqrt(243)*2 - sqrt(243)) - sqrt(243)))**2 + 0.\nAnswer: 648*sqrt(3) + 1674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -17 (b) -2\/60637 (c) -1\/2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 19*g**2 - 19*g - 14. Let r be f(20). Let l(d) = d - 2. Let m be l(r). Solve -k = m*u + 4, 5*k = -3*u + u - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3831 - 30577\/8. Find the common denominator of 13\/14 and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -34 and 1.40012848689.\nAnswer: -32.59987151311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 152?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eekkkke. What is prob of picking 1 k and 1 e?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gig when three letters picked without replacement from gib.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1083883?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z = -11*z + 20*z - 660 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 197991 - 133659. What are the prime factors of c?\nAnswer: 2, 3, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -56\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*a**2 - 385 - 8*a**2 - 20*a**2 - a + 381 - 787 in the form m*a**2 + v + w*a and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * -623.2933.\nAnswer: 14335.7459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2))**(2\/47)\/(o\/(o*((o**(2\/11)\/o)\/o*o)\/o)*o\/((o\/(o**(-2\/11)\/o)*o)\/o)) assuming o is positive.\nAnswer: o**(-340\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n**4 - 4752910*n**3 + 359*n**2 - 10906*n + 1 wrt n.\nAnswer: -72*n - 28517460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13653151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 20537, 205 in descending order.\nAnswer: 20537, 205, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/6)\/(-7)*9\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 68*u**7\/21 + u**6\/30 + 85*u**4\/3 - 5*u + 8. What is the third derivative of f(n) wrt n?\nAnswer: 8160*n**2 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxoxxxxmmmxmxm. What is prob of picking 1 o and 1 x?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 12781 = -3*r, 14*r - 11*r = y - 6398. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500776*q - 171 = -500757*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*(1*(sqrt(1300)*-1 + sqrt(1300)) + 2 + 4)**2 + 1)*3.\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + 57. Calculate the greatest common divisor of 17 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 - -84. Suppose -11232 = o*u - 23*u. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 d when four letters picked without replacement from ggxzggxzgdxkgxg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(11) + (1 + sqrt(11))**2) - ((sqrt(55)\/sqrt(5))**2 + 5) - (1*sqrt(99) - (sqrt(11) + 1 + sqrt(44)\/sqrt(4))).\nAnswer: 21 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u = 16*u - 4. Which is the third biggest value? (a) -0.2 (b) 1\/10 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.051? (a) -0.7 (b) 5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 14*g + 14. Let q = 4 + 15. Let s(l) = q + 6*l + 38 + 51*l. Let j(o) = -21*k(o) + 5*s(o). Differentiate j(n) wrt n.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*h**3 - 249*h**2 - 57*h**3 + 249*h**2.\nAnswer: 99*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.102 less than 0.1937598?\nAnswer: 0.2957598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from {d: 2, e: 11, p: 6}?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**4\/4 + 11*h**3\/3 - 11*h**2\/2 + 3. Let l be x(10). What is l rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678.10689ms in hours?\nAnswer: 0.000188363025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 67 and 0.030049.\nAnswer: 67.030049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 - -1) + 39\/(-13) - -6341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6 - (1 - (-1)\/(-3)). Suppose 4*s = -2*w - 2*w + 588, z = -5*w + 2*s + 742. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 3)\/(2\/12). Let s be 4*(-2 - 15\/k). Suppose 0 = s*i + 3*h - 134, -i + h + 17 = -55. What are the prime factors of i?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-182))\/(7\/(546\/12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(500)*-4*2 - sqrt(500)).\nAnswer: -90*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4325451 minus 4566?\nAnswer: -4330017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 655*o - 164*o - 5401 = 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -29. List the prime factors of 2\/o + (-675)\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kedeokeddkokdnded. What is prob of picking 2 k and 1 d?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 9:24 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-126)\/(-8) + 60\/(-80). Let v be (x\/5 - 3)\/2. Let w be 2\/(-3)*(-12 + 0). Solve 2*j = -v*j + w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 5*u**3 + 9*u**3.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67454.\nAnswer: 2, 29, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 3. Let m be l(0). Let x be (-1 - 3)\/(m + 1). Solve -2*r = x - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -5, 106, -4, -136, -10 in ascending order.\nAnswer: -136, -10, -5, -4, 0, 2, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6e - -73d?\nAnswer: 6cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31.978 - 4.105. Let y = p - -36. Let b = y + 0.08299979. What is b rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 23 = 2*z + 4*f, -3*z + 2*f + 27 = 0. Suppose 1 = 2*y - z. Suppose y*o - 465 = o. What are the prime factors of o?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4741 is divided by 54.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + (sqrt(1539) - sqrt(1539)*1) + 0 + ((sqrt(1539) - -2*sqrt(1539)) + sqrt(1539) - sqrt(1539)))**2.\nAnswer: 54*sqrt(19) + 13851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*q + 8 + 14, -5*q + 31 = 3*y. Solve -22*u + 19*u - 3*s = 15, -2*u + 10 = -y*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5)*f**16\/f)\/(f**(-2)*f**15*f) assuming f is positive.\nAnswer: f**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -40851, -5, -4 in ascending order.\nAnswer: -40851, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112488357?\nAnswer: 3, 919, 40801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**5 + x**5 - x**5 + (-2*x**3 + 3*x**3 + x**3)*(-3*x**2 + 5*x**2 - x**2) + (x**3 + 2*x - 2*x)*(27 - 8*x**2 - 27) - x**5 + 0*x**5 - 2*x + 0*x.\nAnswer: -4*x**5 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -318 - 7*x + 24*x - 19*x in the form r*x + q and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - 3*m + 3*m - 4*m**3 + (4*m**2 - 3*m**2 - 4*m**2)*(-m**2 + 4*m - 4*m) + 1 - 1 - 2*m**4.\nAnswer: 3*m**4 - 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from tvcvvjttvvvcvvvvvcvv.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 14) in base 16?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**6\/30 + 95*t**4\/8 - 2981*t**3\/6 - 1741*t**2. What is the derivative of a(q) wrt q?\nAnswer: 12*q**2 + 285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*u - 5, -5*r + u = -u + 76. What is the third smallest value in r, -3\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -489*f**3 + 9*f**2 + 5282. Let z(a) = 490*a**3 - 10*a**2 - 5285. Let p(w) = 10*d(w) + 9*z(w). What is the first derivative of p(m) wrt m?\nAnswer: -1440*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -218*j**4*p**2 - 337*p**2 with respect to j.\nAnswer: -872*j**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -1034810.\nAnswer: 1034810.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -19*y - 7. Let q(j) = 18*j + 6. Determine 5*i(p) + 6*q(p).\nAnswer: 13*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -234 - 0?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 10*z + 11. Calculate x(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 (base 9) in base 7?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(5*t**2 - t**2 - 2*t**2) + 3*t**2 - 5*t**2 + t**2 + 0*t**2 - 5*t**2 + 2*t**2 + 10*t - 5*t**2 - 10*t.\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 35. Let y(o) = -11*o - 6. Let x(c) = -65*c - 35. Determine n*x(k) + 35*y(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aexkjaxfxak. What is prob of sequence fjk?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from yttubmbbbteebtbb.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: ((-728)\/1092)\/((-209)\/(-57))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 962, 3357, 8020, 15707?\nAnswer: 27174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30954 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0*t - 1\/36*t**4 + 1\/180*t**6 + 66*t**2 + 0 - 1\/18*t**5 + 5\/9*t**3. Solve d(v) = 0 for v.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*s**3 - 33*s**2 + 91*s**2 - 38*s**2 - 18*s**2 - 31*s**3.\nAnswer: 3*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 - 57. Suppose -125 = -5*y + 2*r, 3*y - r + p*r - 75 = 0. Solve 0 = 4*t - s + y, 2*t + s = 4*s - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**1)**(-14)*a**(-11)*(a\/(a*a**(-3\/5)))\/a)**37)**(-33) assuming a is positive.\nAnswer: a**(69597\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*p - 8. Let o = 5 + p. Let r = 18383 + -18352. What is the second smallest value in o, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmaaq. What is prob of picking 1 q, 1 m, and 2 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from jjnjumnnninmjrrumjjr.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 479189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 18*m**2 - 15*m + 38. Let r be h(-17). Let i(s) = 2*s**3 + 306*s**2 + r*s**3 + 0 - 307*s**2 + 0. Determine i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 12. Let a = -7.9 - l. Let y = 2 - a. Is y at least as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.187 + -0.187. Which is the third biggest value? (a) u (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhyhyy. What is prob of sequence hyyy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/73, 1752, -0.3, -5, 1\/2.\nAnswer: -5, -0.3, 22\/73, 1\/2, 1752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 116, 127, 138, 149?\n\"Answer: 11*r + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 35*j**2 + 0 - 1650*j + 1653*j in the form n*j + t + p*j**2 and give p.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6 - 3 + 2*u**3 + u**3 - 2*u**3 - 9*u - 9*u**2. Let w be c(10). Let f = -136.3 + 116.3. Which is smaller: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uaaauuveunuzu. What is prob of sequence uzua?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 divided by -122?\nAnswer: -282\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(f - 2*f - 2*f) + 4*f - 3*f + f + 4 + 4*f - 4 - 2 + f + 2.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*t - 4 = 0, 5*f - 5*t + 24 - 74 = 0. Let d = 4 + f. Suppose 2*s = d + 2. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 355701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 10*a**2 - 18*a + 4. Let w be g(-11). What is the greatest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 892826.1 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 22*y - 9. Let n be b(21). Let u = 3\/2765 - -12701\/16590. What is the common denominator of 639\/n*(-2)\/(-36) and u?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 298475305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*n - 6 = -0*q, -2*q = n - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(121) + sqrt(121) + -5*sqrt(121)*2)\/(sqrt(11) + (-2*sqrt(110) - sqrt(110))\/sqrt(10) + sqrt(11)))**2 + 5).\nAnswer: -2127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.47 rounded to 1 decimal place?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 211*m**2 + 124*m**2 + 106*m**2 to d + r*m**2 + b*m and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-4))\/(4\/16). Suppose 3*z + 2*f + 26 = 7*z, 3*f = -4*z + 1. Let m = t - z. Which is smaller: m or 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 8. Suppose y*u - 2141 + 817 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 402?\nAnswer: 321.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 0)*(-6*a - 5 + 36*a + 129*a**2 - 27*a).\nAnswer: -258*a**2 - 6*a + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 778627 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 + -7 - -26 - 34).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + -1)*-6)**2 - sqrt(20)*-5.\nAnswer: -62*sqrt(5) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5255 is divided by 1744.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 727 and -0.5?\nAnswer: -363.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7291855 or -7291949?\nAnswer: -7291949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33846695.\nAnswer: 5, 19, 97, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-44)\/(-22))\/((-28)\/(-378)))\/(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 22*l - 81. Let c be x(-18). Let j(q) = 7*q - 8. Let f(r) = 14*r - 17. Give c*j(g) + 4*f(g).\nAnswer: -7*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6715515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*y + 23, -4*l - 38 = -4*y - 2*l. Let p be (-3)\/y*2 - 45\/(-10). Suppose -5*x = 4*v - 72, -4*x - p*v + 74 - 18 = 0. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 16*g**2 + 2 + 12*g**2 - 15*g**2 as t + n*g + a*g**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*-1*(-2 + ((-2*sqrt(204))\/sqrt(12))**2 + sqrt(204)\/(2*sqrt(12))).\nAnswer: sqrt(17) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -951 (base 14) to base 16\nAnswer: -72b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 100, 168, 244, 328, 420, 520?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9385, -9393, -9401, -9409, -9417, -9425?\n\"Answer: -8*c - 9377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53215905?\nAnswer: 3, 5, 23, 73, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0502342 rounded to four decimal places?\nAnswer: -0.0502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddwtwddtdddddd. What is prob of sequence ttwd?\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 17*w. Let d be t(1). Suppose -3*l - 17 = -32. Solve -3 - d = -l*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103154951 - -165.489.\nAnswer: -103154785.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-18) + (-982)\/(-4). Suppose 152 = 3*m + 4*l, 5*m + 0*l = -3*l + s. Factor 15*y**3 + 93*y**2 - 165*y - 61*y**2 - m - 2 - 72*y**2.\nAnswer: 5*(y - 5)*(y + 2)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -8*x**2 - 5*x + 6. Suppose 37*d - 51 = 20*d. Let o(p) = 7*p**2 + 6*p - 4. Let r(u) = d*o(u) + 2*g(u). Factor r(l).\nAnswer: l*(5*l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 4*s = -15. Let q(l) be the first derivative of -7*l**2\/2 + 1. Is 7 a factor of q(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236 times 896?\nAnswer: 2003456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/(-1248)*((-8)\/3)\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 723.1284078 - 481?\nAnswer: 242.1284078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3516 by 7.\nAnswer: -3516\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(132) + sqrt(132) + (sqrt(132) + (sqrt(132) + 1*sqrt(132) - sqrt(132) - sqrt(132)))*-2)\/(-3*sqrt(1200)*-2 - sqrt(1200)).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y + 4197. Let g = y - 527. Is g\/14 - 2\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.72 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, f: 2, r: 2}. Give prob of sequence mrfr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*t - 704, 2*t + 705 = -5*v + 2*v. Let k = t - -356. Sort 4, 0, k, 2.\nAnswer: 0, 2, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -20*n**3 - 20*n**2 - 8*n - 8. Let h(r) = r**3 + r**2. Let g(t) = -44*h(t) - 2*z(t). Solve g(x) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*g - 5115 = 0, -4*f + 51*g = 54*g - 5123. What is the remainder when f is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -95\/3. What is the nearest to -42 in 4, 0.5, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 156*r**2*x**3 - 10*r**2*x + 5*r*x**3 + 13*x**3 + 3782*x wrt r?\nAnswer: 312*r*x**3 - 20*r*x + 5*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccns. What is prob of picking 2 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 29*k**6\/6 - 95*k**3 + k**2\/2 - 1156*k. Find the second derivative of s(t) wrt t.\nAnswer: 1740*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {e: 2, c: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w + 33. Let u(b) = -73*b - 82. Let x(l) = 158*l + 174. Let i(d) = -13*u(d) - 6*x(d). What is -7*i(h) + 5*y(h)?\nAnswer: 3*h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-3*2 + (sqrt(13) - (sqrt(637) + -1)) + ((sqrt(572) + sqrt(572)*-1 + sqrt(572))\/sqrt(11))\/(sqrt(44)\/(sqrt(33)\/sqrt(3))).\nAnswer: -11*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.056712 - 106867.4\nAnswer: -106867.343288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42.27 - 41. Let f = r - 1.164. Let n = -0.0963 + f. What is n rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7359825 is divided by 70093?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 = -5. Let i = 3 + c. Let g = -3 + 5. Sort -3, g, i in increasing order.\nAnswer: -3, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 218000?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4610)\/(-35) - (-2)\/7. Suppose 4*t - d = -32. Suppose 15 = 3*j - 12. What is the remainder when t is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -590*f**2 + 590*f**2 - 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1376116 and -59\/686?\nAnswer: 1376116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 300776318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-102)\/(-12) - 3\/6. Let i(y) = y + 8. Let s be i(-6). Let k be s\/(-8) + 18\/g. Solve 3*d = k*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 0.04, -3, 9077 in ascending order.\nAnswer: -3, 0.04, 1\/12, 9077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3152 (b) 92 (c) 1 (d) 4 (e) -7 (f) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 12*g**2 + 355*g + 1167. Calculate i(-6).\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7 = -17. Suppose -3*a = -a + t. Let b(x) = x - 3. Calculate b(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45291 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 5. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107784 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96003?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 2*h - 4. Let n be w(-5). Let f = -7 + n. Let g be (-3)\/(-7) + (0 - 1). Which is the nearest to 0.1? (a) g (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*sqrt(18)\/sqrt(6)*-3.\nAnswer: 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 374 + -347. What is the highest common factor of m and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 20. What is g(2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/195 or -189?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183, -363, -545, -729, -915, -1103, -1293?\nAnswer: -1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1395652*g - 5374372 with respect to g.\nAnswer: -1395652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.3 - -11.8. What is the closest to 0.1 in a, -0.2, 54?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3)*q)**(18\/7))**(-37) assuming q is positive.\nAnswer: q**(1332\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -8*d + 5*d. Let o(m) = -m**3 + 3. Let j be o(0). Let i(k) = j*k - 4*k - k + d*k. Let t(z) = 5*z**2. Determine i(t(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*v - 27 = -0*b, 0 = -b - 2*v + 16. Calculate the remainder when 3\/(b\/(-236)*-2) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 143*u = -1536 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1364 and 195393?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 110 - -6a?\nAnswer: 17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 64177*-7\nAnswer: -449239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b - 10. Let z be b\/(-11) - (-40)\/22. List the prime factors of z\/9 - 1830\/(-27).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9*((-34)\/(-12))\/(166\/747)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2925515735+-0.038\nAnswer: 2925515734.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 28*k**4 + 62*k**3 + 4*k**2 - 7*k - 7. Let x(c) = 9*c**4 + 21*c**3 + 2*c**2 - 2*c - 2. Let i(l) = -2*m(l) + 7*x(l). Find u such that i(u) = 0.\nAnswer: -3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and 5.252471?\nAnswer: 12.252471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1572\/333 + -5 + (-4)\/(-12). What is the closest to 0 in 3, 1\/10, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 122659.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20427970?\nAnswer: 2, 5, 2042797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -125?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -182 + 179. Let s = 299\/9 + -33. Suppose -5*b + o - 8 = -o, -3*o = 4*b - 12. What is the third smallest value in s, q, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1150800 divided by 548\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 9 + (-3 - 1 + 5)*(-1 + 4 - 2))*(0 + 5 - m - 12).\nAnswer: 6*m + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55720141?\nAnswer: 19, 83, 89, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14048 - 14050. Which is the nearest to 0? (a) v (b) 1 (c) 0.5 (d) -2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11691 + 11693. Solve y = -2*o - 4 + 12, -g*y = 5*o - 19 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1345 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 6:23 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 14) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 14. Suppose -a*n + 11 = -21. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(168\/(-412)) - 154\/(-1617). Let f(v) be the first derivative of -1 + 4\/3*v**3 + 5\/2*v**2 - v - 1\/4*v**4. Calculate f(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14609 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2199029\/68 + 32340. Find the common denominator of -14\/51 and h.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*w**2 + w - 4*w - 80*w**2 + 3*w.\nAnswer: 203*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 157508 and 2912?\nAnswer: 8820448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4665569338?\nAnswer: 2, 809, 2883541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11254123 + -23?\nAnswer: -11254150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 332*g - 328*g. Calculate the remainder when g is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 22*k + 19. Let x be d(12). Let g be (x - 8\/(-12)) + (-1)\/(-3). Is -60\/13 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5446055*y + 6*y**2 - 2 + 2 + 5446055*y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 4:43 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*(-40)\/36*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 + 3 = 0. Suppose 3*b - a - 4 = 0, 0 = 5*b + 5*a - 47 + 7. Let m(n) = n**3 - 11*n**2 + 10*n. Let s be m(10). Solve s = j - t + b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -542 - -386. Let j = g - -155. What is the nearest to j in 2\/5, 36, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50157 is divided by 226?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/11)*p)\/((((p*p**(2\/15)\/p)\/p)\/p)\/p)*p*p**(-9\/2)*p*p**(2\/11))**14 assuming p is positive.\nAnswer: p**(6097\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 39*g = -92350. Let w = 129223\/35 + g. Calculate the common denominator of 39\/10 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(114)*-1 + sqrt(114)))\/(sqrt(6)*-1*1))**2 - (-5 + (sqrt(1900) + -1)**2*-2 + -5).\nAnswer: -40*sqrt(19) + 3812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -15*c - 6. Let y(l) = -8*l - 3. Let i(j) = -6*k(j) + 11*y(j). Calculate i(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5790000 to the nearest one hundred thousand.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 11 = 5*s - 2, 2*x + 3*s - 6 = 0. Solve x*w + 4 = 4*u, -20 = -3*w - 2*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47\/4 + 51\/(-68) + (4896\/16)\/(-51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4423 = 359. Let p = 1152 - d. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/367, -2, -23, 0.4, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 949 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**2 + 10*k**3 - 14178*k + k**4 + 13982*k - 5*k**2 = 0.\nAnswer: -7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1578 + 1573. Put -0.4, 4, -26, g in ascending order.\nAnswer: -26, g, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 s, and 1 e when three letters picked without replacement from {e: 1, b: 9, s: 6, j: 2, o: 1, g: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 71 = v - 2*w, -5*v - 2*w - 5 = 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3985298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3999 - 3981. Sort -0.5, b, 23, -0.2 in descending order.\nAnswer: 23, b, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -0.14 (c) -1 (d) -3\/2 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9*d**5 - 9*d**4 - 9*d**3 + 2*d**2 - 7. Let o(t) = 5*t**5 - 5*t**4 - 5*t**3 + t**2 - 4. Let j(r) = -7*o(r) + 4*v(r). Determine f, given that j(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7\/a*(a\/(a\/(a\/a**(1\/6)))*a*a)\/a)\/(a\/a**(-1\/5))**1 assuming a is positive.\nAnswer: a**(199\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 15*m**2. Let u be -2*10*(-1)\/1. Let a = 83 + -63. Let o(t) = -a + t**2 + u. What is s(o(b))?\nAnswer: 15*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 24, 35, 46, 57?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -131*m - 4606. Calculate p(-35).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-25)*z**(-24))**(-44))**(1\/11) assuming z is positive.\nAnswer: z**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-3))\/(-1) + 63. Calculate the highest common factor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {q: 2, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3065)\/(-22)*2 + -1. Let m = 278 - y. Find the common denominator of m and (121\/99 - (-2)\/(-9))\/(6\/(-146)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -31, 2, 4\/7, 6.1, 1 in decreasing order.\nAnswer: 6.1, 2, 1, 4\/7, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/4 - 1)\/(60\/(-20))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -853?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16890.65 micrometers to centimeters.\nAnswer: 1.689065","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u - 1. Let t be 3\/(-1) - (3 + -1). Let g(k) = -k. Let h(m) = -m**3 - 3*m**2 - m + 1. Let z be h(-2). Let n(r) = t*g(r) + z*o(r). Calculate n(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -331, -330, -329?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3029, 3014, 2989, 2948, 2885?\nAnswer: 2794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (0 + sqrt(425) - sqrt(425)) + 3 - (-2 + (sqrt(425)*-2 - sqrt(425)) + -3*(0 + sqrt(425) + sqrt(425))))**2.\nAnswer: -172125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -3*c**2\/2 - 9*c - 13. Let s be u(-5). Let b(i) = 11*i**2 + s*i**2 - i**3 - 18*i**2 + 15 + i. Calculate b(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1203 - -1446. Calculate the least common multiple of j and 135.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (3 + 2) - -31 - -36.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-4 + 6)) + 12070\/1917.\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1981.21 seconds in milliseconds?\nAnswer: 1981210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/103 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 381 = 161. Let t = -32 - p. Calculate the lowest common multiple of 8 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -263 - -790\/3. What is the third smallest value in -5\/2, 0.4, a, 2\/21?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 841 = -5*v - s + 172, 3*v = -5*s - 397. Let g be (v\/(-42) + -3)\/((-24)\/(-28)). Factor -8\/9*i**2 + g*i**3 + 10\/9*i - 4\/9.\nAnswer: 2*(i - 2)*(i - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73309693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98693264 and 232?\nAnswer: 98693264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqq when three letters picked without replacement from kquoqykqkuyookuy.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13034321, -13034310, -13034299, -13034288, -13034277?\n\"Answer: 11*u - 13034332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105.531 + -670.\nAnswer: -775.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6241238321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 80*v**4 - 24*v**2 + 20*v. Let g(p) = -16*p**4 + 5*p**2 - 4*p. Let d(r) = 24*g(r) + 5*s(r). Find the second derivative of d(t) wrt t.\nAnswer: 192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:09 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 2*b**5\/3 + b**3\/6 + 6*b**2. Is x(-1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -466497 = -92*w + 1382611. What are the prime factors of w?\nAnswer: 101, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 87, 133, 177, 219?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -428 - -417.719. Let n = v - -10.3. Round n to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 - 3*g**2 + 3*g**2 + (0*g - g + 0*g)*(g**2 - g**2 + 6*g**2) + (-2*g**2 - g**2 + 2*g**2)*(-g + g - 2*g).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*(q*(q*q\/q**(1\/3))\/q*q*q)\/q)\/q)**(-7)*q**(-2\/11)\/q**(-5))**(3\/2) assuming q is positive.\nAnswer: q**(-344\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (494 - 990 - 245*j + 496)*(0 + 0 - 2 - j) to the form y*j + z*j**2 + s and give z.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000645 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1239 and 147795.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**2 - 311*q - 8. Let r(m) = -11*m**2 + 622*m + 18. What is 4*r(l) + 9*y(l)?\nAnswer: l**2 - 311*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2177 + 26179\/12. Suppose 0 = 3*b + 25 + 11. What is the common denominator of c and ((-2)\/b)\/(4\/(-39))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 2, w: 1, u: 2}. Give prob of sequence ba.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2539.78 litres to millilitres.\nAnswer: 2539780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 0. Let s(h) be the second derivative of -h**4\/12 + h**3\/3 + h**2\/2 - 3*h - 4. Let w be s(j). Is 0 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**3 - 2121*j**2 + 6854*j - 1581 = 0.\nAnswer: 1\/4, 3, 527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66643645*p - 66643645*p - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-2)*(-3)\/(-9). Factor -9*l + f + 0 - l**3 + 0 - 6*l**2.\nAnswer: -l*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - a**2 + a + 4. Let u be b(0). Let h(r) = 4*r**2 + 43*r - 7. Let c be h(-11). Differentiate 14*n**u - 29*n**4 + 12 + 28*n**c wrt n.\nAnswer: 52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.051 and 4.5?\nAnswer: 0.2295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5328.19734 rounded to 1 decimal place?\nAnswer: 5328.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-6))\/(3\/(-84)). Let a be (-4)\/(-14) - (-1788)\/w. Let r(q) = -69 + a - q - 59. Let b(p) = -5*p**2 - 2. Calculate r(b(l)).\nAnswer: 5*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2 - a. Suppose -6 = j + 5*k, -j + k - 2 = 2*j. Let x be q(j). Let b = 0.04 + 0.06. Put b, 2\/11, x in descending order.\nAnswer: 2\/11, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3331 (base 6) to base 7.\nAnswer: -2155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdbffdyfffyffffyy. Give prob of picking 1 b and 1 y.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44642134 - -241?\nAnswer: -44641563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00033348 to 5 decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3 = -0. Which is bigger: 4\/3 or d?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 2\/11 (c) 71380\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 51795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2291 and 79?\nAnswer: 2291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 8*d**2 + 4*d - 3. Let i be r(-7). Let z = i - 6. Calculate the greatest common factor of 8 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -302 > -1811\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.289234 decades in months?\nAnswer: 634.70808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2835810 rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 8:13 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 - 989*m**4 - 985*m**3 + 2969*m**2 + 4942*m + 1976.\nAnswer: -(m - 2)*(m + 1)**3*(m + 988)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from jfbju?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13439639?\nAnswer: 17, 790567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310 (base 6) to base 3.\nAnswer: -11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h + 21*h + 0*h + 11*h**2 + 5*h - 28*h to the form j*h + w + m*h**2 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/18*72\/(-32).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 1387132?\nAnswer: 1387133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -16*f**3 + 2*f**2 + 5*f - 2. Let w(x) = -81*x**3 + 11*x**2 + 25*x - 11. Let h(i) = -11*r(i) + 2*w(i). Find the second derivative of h(c) wrt c.\nAnswer: 84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.3, 16, -41400?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26725002 and 282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 240, 412, 632, 888, 1168?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(77) - (2*sqrt(77) + sqrt(77) - sqrt(77))) + sqrt(77) - sqrt(77)) + sqrt(77))*-3)\/(-3*sqrt(176) + sqrt(11) - sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = 0. Suppose q + w*q = -1. Let x be (-800001)\/(1\/1) - q. Round x to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/100 and (-2)\/11 + 4017\/10296.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = -0*p. Let j(k) = -9*k**2 + 5*k - 2 + 0*k + 11*k**p. What is the tens digit of j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130114, -130214, -130310, -130402, -130490, -130574, -130654?\nAnswer: -130730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98305 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6936 times -2?\nAnswer: -13872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2376.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12952 + 9*t**3 - 25752 + 12800.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15339197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 309*l + 540*l + 159*l in the form d + k*l and give k.\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -10*b**2 + 97*b + 25. Determine w(9).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 37 - 76 - 277*x.\nAnswer: -277*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 173, -5, 3, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a week in minutes?\nAnswer: 84672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = r - 5, 0 = -11*r + 9*r + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24658 + -39058. What is l rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, x: 13}. Give prob of sequence ll.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305512 = -26*z - 56744. List the prime factors of z.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 261872720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2316 + -1?\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-168)\/(-224))\/((-114)\/16).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159268349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-765)\/5610)\/((-6)\/(-8))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 c, and 1 e when three letters picked without replacement from mmmfmdmce?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 245272 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 10*z**2 - 8*z + 13. Let k be p(-9). Suppose k*l - 13 = 3. Let w = -3.960826 - 0.039174. Which is the nearest to -1\/2? (a) w (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 4*u**2 - 2*u - 2. Let j be w(2). Solve -o - 1 = -j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87873910?\nAnswer: 2, 5, 8787391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11546, -22405, -33264?\nAnswer: -44123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1553 by 18.\nAnswer: 1553\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 35*r + 48 - 68*r + 36*r. Let f(c) = -c - 23. Let y(l) = -4*b(l) - 9*f(l). Let p(w) = 4*w - 22. Determine 5*p(q) + 7*y(q).\nAnswer: -q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 10*k - 16. Let w be m(-7). Let x(f) = f**3 - 4*f**2 - 5*f + 1. What is x(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -82, 0.1, -1.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 48*o - 1683.\nAnswer: 3*(o - 33)*(o + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2009074771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 33. Let u = r + 2. List the prime factors of (-1188)\/(-30) + u\/15.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2 + 19989*o - 932856 = 0.\nAnswer: 47, 6616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/7)\/v**(-1\/6)*(v**(-21)\/v)**(-13\/3) assuming v is positive.\nAnswer: v**(1339\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 125 - 120. Let v be ((-5)\/(-3))\/p + 112\/24. Suppose -2*m - 5*n = 6, -m - 3*n = -0*m + v. Let o(d) = -2*d + 7. What is o(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 393\/(-65) - -6 - 2\/13\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5458 or 5459?\nAnswer: 5459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*s + s = -106*s + 295200. Is s a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -6 + 1 + -18 + 8 + 15\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44445 is divided by 2964.\nAnswer: 2949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -219, -658, -1509, -2910, -4999?\nAnswer: -7914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h + 9. Let a(b) = 8*b + 26. Suppose -5*c + 7 = 3*j, -18*c = -j - 13*c + 9. Determine j*a(n) - 11*t(n).\nAnswer: -n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*z + 34 = 63*z. Solve z*j - 13*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.2 (c) -68 (d) 0.9 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 528 = 22*y, -4 = 3*f - 1 - 3 - 0 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + c. Let y(s) = -s**2 + 3*s - 3. Let a(x) = 2*t(x) + y(x). Determine a(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.09 and -3.166909338487.\nAnswer: -3.076909338487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*c**3*t + 2308*c**3 + 51*c**2 + 2*c*t - 1292 wrt c.\nAnswer: -102*t + 13848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + v)*(-17*v**2 + 17*v**2 + 6*v**3) + 4*v**4 - 4*v**4 + 2*v**4 + v**4 - v**4 + 2*v**4.\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/42902 and -107\/1634.\nAnswer: 1844786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*59705.\nAnswer: -5970.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 30, 17, -0.6?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-45)*10 + (-3 - -19) + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*q + 2949 = -955*q - 1777 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.8161 to zero dps.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5*(-224)\/28*(-30)\/(-8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -20*g**4 + 2*g**3 - 2*g**2 - 19*g. Let r(u) = -u**4 - u**3 + u**2 + u. Let y(z) = -2*r(z) - w(z). Find the second derivative of y(h) wrt h.\nAnswer: 264*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 100, 411, 916, 1603, 2460, 3475, 4636, 5931?\n\"Answer: -2*l**3 + 109*l**2 - 2*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 23802666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35, -36, -29, -8, 33, 100?\n\"Answer: z**3 - 2*z**2 - 2*z - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -1 + (-24 + 31 - 4) - -11.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*i*l**3*r**3 + i*l**3*r + 15462*i*l*r**2 + 2*i*l + 8*i*r - l**3 - 895*l**2*r - 5*r**3 - 1 wrt r?\nAnswer: 60*i*l**3*r + 30924*i*l - 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 5\/(-5)*2. Suppose s*o = 5*l - 11, -o - 3*l + 8 = -3. Suppose -5*h - 4*r + 81 = 21, h = 2*r + 12. Solve o*u = 6*u + h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46580 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -101 + -4?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 19 - 5*b**3 - 52 + 48 - 4*b**2.\nAnswer: -5*b**3 - 6*b**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7052273556 to the power of 1\/3, to the nearest integer?\nAnswer: 1918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -815.1 (b) -23\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2991330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 1\/2*w**2 + 3 - 6*w. Give v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13020 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5*d)**(25\/2))**(24\/11) assuming d is positive.\nAnswer: d**(1800\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 68*f**2 + f + 8. Let d be x(-1). What is the greatest common divisor of 2175 and d?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16355.57 kilometers in micrometers?\nAnswer: 16355570000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133168 and 2009?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*d + 67*d - 125*d)*(-d + 2*d - 2*d) + 3*d**2 + 2*d - 2*d + d**2 + 0*d**2 + d**2 + (-2 + 2 + d)*(0*d + 2*d - d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*q**3 + 11*b**2*q**2 - 25*b**2*q - 15*b*q**3 + 4*q**3 + 4*q wrt b?\nAnswer: -4*q**3 + 22*q**2 - 50*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/48)\/((208\/468)\/((-4)\/(-3)))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2984316065.14 + -2984337191.71539839. Let t = 20831.5754 + m. Let a = 295 + t. Round a to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242 is divided by 74?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -48. Let r be z\/4*(-1 + 27). Calculate the highest common divisor of r and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 585*n + 2*n**2 - 587*n - 161 - 6*n**2 + 75*n**4 - 77*n**4 to l*n**2 + x*n**3 + w*n + f*n**4 + r and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.52244 * -37\nAnswer: -19.33028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 3*u + 26*x - 22*x + 1 = 0, 0 = -3*u + 3*x + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01989447257 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1 - 4 + 3 + 1. Let t(x) = 2*x - 1. Let q(h) = -h + 6. Suppose 5*f + 2*p = -3*p + 20, 3*f - 11 = -4*p. Let j be q(f). What is j*t(m) + 2*g(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 4*z - 2*z)*(-3 - 3 - 2)*(4*z**3 - z**3 - 2*z**3).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 77071232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13316?\nAnswer: 2, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from kikkkkkkkikkk?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 2668?\nAnswer: -266d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -3\/10, 5, 2\/21, 4\/3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaaauuuaaaauauau. Give prob of sequence uu.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 7:40 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, a: 4, d: 1, v: 1}. Give prob of picking 1 v, 1 d, 1 q, and 1 a.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 90316579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12011111202 (base 3) to base 5.\nAnswer: 11223302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 12. Let b(v) = -2*v + 4. Let k be b(j). Suppose 2*u - 8*u + 324 = k. Calculate the remainder when u is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4621, -9195, -13757, -18301, -22821, -27311, -31765?\n\"Answer: r**3 - 4581*r - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + 6*l**4 - 9*l**4 - 2 + l + 10*l**2 - 6*l**2 to m*l**2 + g*l**3 + x*l + a + u*l**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 199*l**2 + 9717*l - 1681. Give k(-49).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -8*w - 5, -34 = -p + 2*w. Suppose 18 = -53*a + p*a. Sort a, -3, 1 in increasing order.\nAnswer: -3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -2041*a**5\/12 + a**4\/4 + a**3\/2 + 3*a**2. Let m be k(7). What is m rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/8 + 21*r**2\/8 - r\/2 - 21\/2 = 0. Calculate r.\nAnswer: -21, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 4)*(2*p**3 - p**2 + p**2) - 4*p**3 + p**3 + 6*p**3 + (-3*p + p + p)*(2 - 2 - 2*p**2))*(-p**2 - p + 0*p**2 + 0*p**2).\nAnswer: -7*p**5 - 7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + 1*-2*sqrt(300)) + 4 + (-3*(-1 + sqrt(300)) - (sqrt(300) + 4 + -1*sqrt(300))))**2.\nAnswer: 24300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = -2*h - 9*y - 37, 5*h = -4*y + 68 - 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 109 + -106 + 0 + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, k: 10, j: 4}. What is prob of sequence jj?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 12b?\nAnswer: 12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3183 or -3181?\nAnswer: -3183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -2*(2 + sqrt(700)) + sqrt(700) + -1 + -3 + sqrt(700) + 5*sqrt(700) + 2)**2.\nAnswer: -720*sqrt(7) + 25236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 1 + 10. Let u(k) be the third derivative of -k**6\/120 + k**5\/15 - k**4\/8 + k**3\/3 + 46*k**2 - 3. Let w be u(j). Solve -1 - 1 = w*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1401 - -1400.5. Put 6, z, -4 in ascending order.\nAnswer: -4, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 423 - 420. Suppose a + n = 105, -2*n - 3*n = 5. Suppose -2*q = 3*c - 58, s*c - 2*c = -4*q + a. What is the highest common factor of 182 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1081 (base 14) to base 12\nAnswer: -17a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*x**3 - 487*x - 20601 wrt x.\nAnswer: 15*x**2 - 487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**7\/840 + n**5\/120 - 4*n**3 + 2*n**2 - 9*n. Let c(m) be the first derivative of r(m). Give c(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 6. Suppose 13 + z = 2*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3460428 - -3460450.00021. Let a = -0.011 + 22.011. Let v = a - l. Round v to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccoco. Give prob of sequence co.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + sqrt(105)\/sqrt(5))*1)\/(sqrt(24)\/(sqrt(8) + 1*sqrt(8))).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8.7434 * -32\nAnswer: 279.7888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1811552 is divided by 95.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/3 + 46*x**3\/3 + 394*x**2\/3 + 1490*x\/3 + 700 = 0.\nAnswer: -7, -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 16 + -13 + -4 + 12 + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 1 - (6 - (17 - 30)) - 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1224423240 + 4?\nAnswer: 1224423244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h - 3*h)*(-2*h**3 - 3*h**3 + h**3).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 + -4 + -4 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1260)\/448)\/(42\/28))\/(20\/(-12)).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 7*r**2 - 10*r + 6. Let b(l) = l**3 - 7*l**2 - 11*l + 6. Let x(a) = -2*b(a) + 3*n(a). Let g be x(8). What is the tens digit of (91\/14)\/(1\/g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(612) + sqrt(612))*-6 - sqrt(612) - (sqrt(612) - (-1 + -3 + sqrt(612))) - (6*sqrt(170)*-2)\/(sqrt(90)*-3))**2.\nAnswer: 3632*sqrt(17)\/3 + 3504116\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1449*0.1.\nAnswer: -144.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 5*x - 4*x - 12 = 0, 5*y - 6 = x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 235 + 506. Let h = t + -441. Round h to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 814350 divided by -1335.\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/6 + 9 + -7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*k**4 + 255*k**3 - 30*k**2 + 3*k + 4608921 wrt k.\nAnswer: 124*k**3 + 765*k**2 - 60*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/120 and 65\/516.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + c**2)*(2*c - 2*c + 3*c - 3*c + 4*c + c + (0 - c + 0)*(-7 + 1 + 4) - 1 - c + 1).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 4, 2*p + 105 = u - 2*u. Let k = p - -150. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 - -180. Let c = d - 43. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58012 + 3388*z**2 - 3388*z**2 - 58020 - 4*z**3.\nAnswer: -4*z**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -109*t + 471. Does 7 divide w(-52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, -16, -7, 0, -5 in decreasing order.\nAnswer: 18, 0, -2, -5, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11770 (base 9) to base 15.\nAnswer: -2530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5762 = 127*k - 389*k + 10962 - 3624 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 + 0.6. Let h = -22.8 + 21.91. Let s = h + 0.49. Sort a, s, -2\/13.\nAnswer: s, a, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*s + 7857, 3*s + 2 = 8. Calculate the remainder when 82 is divided by 4\/(-14) + t\/91.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -8*x + 648. Suppose -3*f + 3*t = -x, -f - f = -5*t - 96. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**3 - 3*n**3 - 4*n**3)*(-3 - 57 - 10)*(4 + 4 - 2)*(-2 + 1 + 0) in the form u*n**3 + g*n**2 + z*n + x and give u.\nAnswer: -3360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q**2 - 2*q**2 + q**2)*(q - 5*q + 2*q) + 11*q**3 + 0*q**3 - 27*q**3 + (3*q**2 - 4*q**2 + 2*q**2)*(0 + 0 - q) as z*q + f*q**2 + y + w*q**3 and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 2575.\nAnswer: 2576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 27 = -5*p, 3*p + 33 = 56908*d - 56905*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*b**2*f**2*q - b**2*f*q - 5*b**2*f*v + 27*b**2*q*v + b*q - 10*f**2*v - 2*f*q*v wrt f.\nAnswer: -80*b**2*q - 20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(0 - (-2)\/4). Let z be 3*(0 - 1)\/(-1). Suppose -3 = -4*s + p, -p + 5 = 5*s - 2*p. Solve -5*g = z*l - v, s*g + l - 7 - 3 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -302, -5, 13, -26 in ascending order.\nAnswer: -302, -26, -5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -106 - (-8 + 49 + -93)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 4:23 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 235544 by 4.\nAnswer: 58886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 172621097 less than or equal to 172621097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77715, -310907, -699551, -1243641, -1943171, -2798135?\nAnswer: -3808527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2.646652 grams?\nAnswer: 2646.652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -7\/247, -28?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52323 and 6288497?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -16, -1, -4.\nAnswer: -16, -5, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = 12*f + 119 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.62 to the nearest integer.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 193553068\/11 = 17595732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 568*r**2 - 14250*r + 24848. Determine d(592).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -288 (b) -0.2 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -118, 1, 46.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n = -28*n + 48 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*p + 4*v, -4*p + 2*v + 10 = v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4 + 881909*l**3\/10 - 88243*l**2\/10 - 2292976*l\/5 - 176382 = 0. Calculate l.\nAnswer: -88191, -2, -2\/5, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*s = 154. Let p = s + 114. List the prime factors of p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110518 = 10*b - 25952. List the prime factors of b.\nAnswer: 3, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*2 - (-1 - -1). Let a = -1 - -7. Suppose 0 = -a*d + 2*d + 4. What is the greatest common factor of d and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -29*a**2 + 17*a**2 + 19*a**2. Let q(i) = -2*i**2. Determine q(r(y)).\nAnswer: -98*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 5. Let f be d(-4). Suppose -4*g + 3*r - f = -100, -2*r = 10. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d**3 - d**2 - 2 - 87*d + 87*d to a*d**3 + j*d**2 + f + l*d and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsvvz. Give prob of sequence zwss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 13*d**2 - 105*d - 4. Give q(4).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3340 and 2058776.\nAnswer: 10293880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 8. Let i be n(8). Suppose -14*s + 8*s - 66 = i. Let o(d) = -d**3 - 9*d**2 + 9*d - 11. List the prime factors of o(s).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*r - 150, r - 2*r - 280 = 5*i. Let s = i - -77. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.323 + -0.113. Let z = 0.6 - 2.6. What is the second smallest value in z, i, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2 + 3, -5*f + 37 = -3*m. Let y = f - -1. Suppose -10 - 8 = -y*c. Solve 1 = 4*h - 7, -h = c*a - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2013 + 4173. Suppose p = 14*r - 4*r. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1044 and 42282.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + (sqrt(396) + sqrt(396)*-2)**2 + -4 - (0 + sqrt(396) + 1)**2 - (5 + (sqrt(396)*-1)**2*3).\nAnswer: -1198 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18034076 - 18005924 = 17*l. What is l rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 - 4*p - 3. Let f be (-5)\/(15\/6) + 0. List the prime factors of h(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, -4, -2, -2\/11, -0.21, -1\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2\/17 (c) -1120\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 0 (c) -30 (d) 6.5 (e) -27 (f) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 7:03 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 655.7181s in microseconds?\nAnswer: 655718100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 4*c - 4. Let r be t(6). Let n = -4 - r. Let u be ((-18)\/(-4))\/(((-21)\/n)\/(-7)). Solve k + 4*d + u = 0, 0*d + 10 = -2*d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.063, 15\/652, 2\/9 in increasing order.\nAnswer: 15\/652, 0.063, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -15, -1\/5, -2\/7, -6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 803735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - -0.2. Let h(n) = -n**2 - 7*n - 7. Let r be h(-5). Sort k, -1, r in descending order.\nAnswer: r, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 5:33 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 9 - 7)*(-3*q + 0*q + 5*q) + 19*q - 39*q - 32*q to n + g*q and give g.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {f: 7, y: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310330 + 20?\nAnswer: -310310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlvnlnnnnllnnllnnnl. Give prob of sequence vln.\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 76 - -4057?\nAnswer: 4133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2492.6458+1\nAnswer: 2493.6458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 268*d**3 - 333 wrt d?\nAnswer: 804*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 28.496853 days?\nAnswer: 4.070979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 46798.\nAnswer: -5\/46798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-3\/23)*d)\/d)\/d*(d*d*d*d*d**(16\/9)*d)\/d)**(10\/7) assuming d is positive.\nAnswer: d**(9620\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -241224 (base 6) in base 5?\nAnswer: -1133130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -31261\nAnswer: 62522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 25. Let g be 2*4\/7*(-364)\/(-8). Let r = g + t. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(0 - 6\/4). Let f(x) = -4*x**2 + 8*x + 6. Let y(s) = s**2 - 3*s - 2. Let z(r) = -2*f(r) - 7*y(r). Does 4 divide z(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -602000 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o - 1. Let a(k) = 5*k - 1. Let t = 149 - 141. Give t*i(q) - 5*a(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**7\/630 - b**6\/180 + 2*b**2. Solve r(p) = 0 for p.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijii when four letters picked without replacement from iiiiijiiijiiiiiiiiii.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6*m - 52. Calculate the common denominator of 1 + 3 - m\/(-130) and 13\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16338580*d = -16338520*d - 5280 for d.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*u - 2*d, -1 + 7 = -2*u + 5*d. Solve -u*m - 10 = -18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.2 - 0.1. Let i = -0.9 - y. Sort i, 3, 1\/4 in descending order.\nAnswer: 3, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1905? (a) 277\/4 (b) 3 (c) 0.1 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2346 and 736.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*3 + (-2856)\/504)*-3*124 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 5*c + 3. Let q be x(5). Find the second derivative of -1535*g**3 + 1535*g**q - 9*g - 32*g**4 wrt g.\nAnswer: -384*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c2 - -9803?\nAnswer: 9341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 11:01 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1878 = 179*v + 2499 + 1530 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 + 0.2. Let q be (10\/(-15))\/((-4)\/(-30)). Which is the third smallest value? (a) -0.3 (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + u**2 - 3*u**2 + 5 + 0*u**2 - 2*u**4 - 3 as b*u**4 + q*u + z*u**2 + k + g*u**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**4 - 2*f**4 + 2*f**4 + (-3*f**2 + 36 - 36)*(-50*f**2 + 131*f**2 - 3*f**2) to the form x + i*f + z*f**2 + p*f**3 + g*f**4 and give g.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14172720151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-276)\/(-230))\/(-2 - (-36)\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70637\/66 - 6421\/6. Determine y, given that -c - 2\/11*y - 1\/11*y**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 34*p - 10. Let d be s(9). Let b = d + -194. Suppose -z = z - b. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*q + 21*q = -455. What is the second biggest value in q, 7.1, 1?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*s**2 + 335*s**2 - 294*s**2 + 161*s**2.\nAnswer: 398*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37681.9999867 - -37682. Round r to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 5\/6, -1\/4, 5763, 5.\nAnswer: -1\/4, 5\/6, 5, 41, 5763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1356062 is divided by 466.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 27 = 9*p. Suppose 0 = 4*o - 2*o - 28. What is the smallest common multiple of o and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10245281011 - -10245281097.99999943. Let c = -87 + l. Round c to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - v = -20, -2*u - 206342*v + 206346*v = -4 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 32*v - 161. Let p be w(8). What is the highest common divisor of 152 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26228 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 3. Suppose 1 = f - a. Suppose f*m + 52 = 162. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a centimeter in millimeters?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*k + 380*k + 100*k = -330*k - 68110 for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 8*u**2 - 9*u + 3. Let z(l) = -6*l + 225. Suppose 3*f - 177 = -5*j, 2*j - 5*f = 63 + 14. Let d be z(j). Determine a(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, m: 2, k: 3, l: 4}. What is prob of picking 2 z, 1 k, and 1 m?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 11*y = 10. Solve -2*z = -z - 5*r - 20, 0 = -z - y*r - 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049 minus 0.042?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -36*k - 2. Let y(p) = p**2 - 10*p + 26. Let u be y(4). Suppose -7 = -o - 3, m + u*o - 6 = 0. What is the tens digit of b(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (4 - 4 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5 - 38*i**4 + 124*i**3 + 440*i**2 - 1024*i - 2176 = 0. What is i?\nAnswer: -2, 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121222 - 1222?\nAnswer: 120000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 38*s + 9. Let f(r) = -39*r - 8. Let o(l) = -6*f(l) - 5*t(l). Is o(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 10 = -2. Solve 0 = y*o - o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 9*f**2 - 23*f + 55. Calculate v(8).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -821*a - 2907. Let y(h) = 2461*h + 8744. Let n(l) = -11*o(l) - 4*y(l). Differentiate n(k) with respect to k.\nAnswer: -813","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -417*x - 2422. Let f be z(-6). Solve -f = -35*t - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159043 is divided by 50.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 12*d + 33. Determine h(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15578 (b) 0.5 (c) 0.15 (d) 0.2 (e) 54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/d)\/d)**(-31\/5)\/(d\/d**1)**(-8) assuming d is positive.\nAnswer: d**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -31 + 12 - x - 5*x + 6 + 5. Let l(g) = -g - 1. Calculate -f(m) + 10*l(m).\nAnswer: -4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3 + (-26)\/(-6). Let j be -2 - 3\/(-3)*6. Let b be 1\/j + (-1201)\/q. What is b rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**3 + 5*l**2 - 8*l. Let d(f) = -4*f**3 + 4*f**2 - 7*f. Calculate -7*d(u) + 6*r(u).\nAnswer: -2*u**3 + 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/7, -0.3, 3\/2.\nAnswer: -4, -0.3, 2\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15429073 is divided by 1028604?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*117068.\nAnswer: 702408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3936 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t + 24*t = -5*i - 78, 35 = 19*i - 22*i - 2*t - 4 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/(-10))\/((-3)\/(-15)). Let g be (-1 - -3) + -3 + 23. Let a = g + y. Which is bigger: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-15) + 240\/1350 + 6\/27. Which is the nearest to k? (a) -1 (b) 426 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*h + 0*h = 16, 2*h + 8 = 2*v. Suppose q + 32 = v*q. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -182a292 (base 11) to base 12.\nAnswer: -10577b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 37*o + 40*o = 11208, o + 6722 = 3*w. What are the prime factors of w?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -364099719*f. Let z(v) = -2*v. What is l(z(c))?\nAnswer: 728199438*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*z = -2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r - 6. Let g be m(0). Let l(h) = 6*h + 20. Let y be l(g). Let o = 49 + y. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 34 = 38 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -198 - -353\/2. Let d = -21 - i. Which is the smallest value? (a) -5 (b) d (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 3, 0.1, 2\/5.\nAnswer: -5, -2, 0.1, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (-27 + -2 + 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*-1*(-4 + 3 + 1 + sqrt(2736) + sqrt(2736) + (sqrt(2736) + sqrt(2736)*2 - sqrt(2736)) + 5))**2.\nAnswer: 9216*sqrt(19) + 700992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6935 - 6940.932. Round y to 1 dp.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 6939, -1, -3, 5 in ascending order.\nAnswer: -3, -1, 5, 62, 6939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.517 to zero dps.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0 = -10. Suppose 2*d = -5*c - 323, -g*c = -c - 2*d + 67. Let w = c + 119. What is the greatest common factor of w and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(80) + -2)**2.\nAnswer: -336 + 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1146, -14, 2 in ascending order.\nAnswer: -14, 2, 1146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/125 of a microgram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -285c + 3?\nAnswer: -2859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001971 rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 201571*36\nAnswer: 7256556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -11. Which is the third smallest value? (a) 2\/5 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2701, 21688, 73219, 173566, 339001, 585796?\n\"Answer: 2712*h**3 + 3*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 657670?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 12\/71 (c) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by 1.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 37*k**2 - 270*k + 504.\nAnswer: -(k - 28)*(k - 6)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*1 + -32 + 6110 + 7?\nAnswer: 2, 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1689884 is divided by 4152?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4324.098 to the nearest 100.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + (2 + -1 + sqrt(500))**2.\nAnswer: 30*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4212864 and 37398?\nAnswer: 1141686144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 18*p**2 + 4*p - 4. Let k(t) = t**3 + 3*t**2 + t + 2. What is -6*k(u) + v(u)?\nAnswer: -6*u**3 - 2*u - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 364 + -358. What is the second derivative of 2 + 0 + 16*u**5 + c*u**5 + 9*u**5 - 13*u wrt u?\nAnswer: 620*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22633211?\nAnswer: 22633211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 15*s**2 - 2*s + 36. Let w = -402 - -417. Let p be d(w). Solve 7*g + 29 = -p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1\/2, 0.2, -9\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 7. Suppose 3*o - 5*c + 31 = s, -7 = 3*o - c + 4. Does 17 divide 17\/o*1*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/44*285560\/(-2950)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 20*b - 1. Let w(t) = 7*t - 1. Let n(u) = 4*a(u) - 11*w(u). Give n(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2170 = -36*j. Sort 0, j, 5, -3.\nAnswer: -3, 0, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 7*j + j)*(-73 - 82 + 143).\nAnswer: -72*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (140\/(-21) + 7)*(-3)\/6. Sort 52, -0.3, m in increasing order.\nAnswer: -0.3, m, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17\/24 - 3\/8. Let w = -63.2 + 67. Let d = w + -4.8. What is the closest to d in -1, q, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99364\/9 + -11040. Determine r, given that -2\/9*r**4 + g*r**3 - 2\/9*r**2 + 0 + 0*r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 40 = 144. What are the prime factors of (-10)\/(-65) - (-4078)\/k?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z**2 + 90. Let u(x) = 5*x - 2*x + 4*x + 9*x - 17*x. What is d(u(o))?\nAnswer: 7*o**2 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 + 0*a**2 - 3*a**2)*(3 - 3 + 4)*(-14*a - 43 + 43)*(a - 3 + 5 + 0) to m*a**2 + r*a**3 + d*a + y*a**4 + u and give r.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 2. Suppose f*i = 10, -4*i + 17 + 6 = 3*h. Suppose h*x + 5*o - 95 = 0, x + 2*o + 37 = 4*x. What is the highest common divisor of x and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.653506 micrometers?\nAnswer: 653.506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/2*(-1 - 0). Suppose -20 = -6*x + 2*x, 3*i = -4*x + 2. Let d = i - -8. Calculate the highest common divisor of k and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12022011012102 (base 3) to base 12\nAnswer: -b3a76b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522844.2t to milligrams.\nAnswer: 522844200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 17 = -3*c, -d = -c + 5*c - 8. Let v = d - 2. Suppose 0 = 3*w - v*w - 9. Calculate the remainder when 26 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.949755 * -7.\nAnswer: -41.648285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 divided by -3.\nAnswer: 109\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/(-60) - 511\/308.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -16*b - 8. Let x be h(-5). What is the highest common factor of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -13. Suppose 0 = 4*y - a + 10. Let l be ((-2)\/(-5))\/((-8)\/(-5)). What is the smallest value in 0.5, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*j**2\/9 + 383867072*j\/9 - 12186256.\nAnswer: -4*(j - 13709538)*(7*j - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67168 is divided by 1406?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 31268 = 31196 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.083 (b) -5 (c) -3\/4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16323*v + 13368*v - 673720 = 1106079 - 354631 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 18*u**2 - 1. Let s be h(-1). Let l = s - 15. Solve 0 - 2 = l*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.44129 years to millennia.\nAnswer: 0.00844129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12722 - -11717?\nAnswer: 24641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022636 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 remainder when 6097326 is divided by 184?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 751 + -751. Solve a = 3*l + 4*s + 23 - 9, 4*s + 8 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 3314358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56294*i**3 + 268*i**2 - 203*i + 1.\nAnswer: 337764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 17. Let m be p(4). Let s be m\/(-9)*((-24)\/4)\/2. What is the second derivative of 11*z + 19*z**3 + 13*z - s*z wrt z?\nAnswer: 114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 + 8\/6. Let p(u) = 2*u**2 + 8*u - 1. Let j(w) = w. Determine m*p(t) - 6*j(t).\nAnswer: 2*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87055674.\nAnswer: 2, 3, 17, 907, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 12*l + 6. Let z be o(10). Let t be 6\/z + 403\/91. Suppose r - 2 = t*b, 0*b + b + 6 = 3*r. Solve 0*u = -3*u + i - r, 0 = -5*u + 2*i - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187, -191, -209, -247, -311?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-15) + 11\/3. Suppose 3*p + 11 = 2*y + 51, -l*p + 60 = -y. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 613 and 369.\nAnswer: 226197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -59 + 77 - ((-8 - 3) + 5)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 6*a**2 - 5*a - 6. Let j be 12\/18 - 1*40\/(-3). Suppose -j*u + 125 - 55 = 0. Determine b(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*b = 56*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 + -4 + 7)\/(-2). Let p be (2 - (12 + g)) + 0. Let w = 6 + 0. Let o(z) = -7*z**2 + 7. Let c(h) = -6*h**2 + 6. Calculate p*o(v) + w*c(v).\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m + m**3 - 82 - 26*m - 3*m**3 + 4*m.\nAnswer: -2*m**3 + 3*m - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a minute in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1591625\/(-63665) + -1 + -8 + -2\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -690*q + 691*q + 0 + 0.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - y + y - 7. Let v be t(-7). Let p be (-1 + v)\/((-2)\/12). Let z(b) = b**2 - 4*b - 6. What is z(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -31\/5*q**5 + 3\/2*q**3 + 0*q**4 + 0*q**2 - 105*q + 0. Find the second derivative of f(d) wrt d.\nAnswer: -744*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 894*g**2 + 596*g**2 - 222*g**2 + 585*g**2 + 522*g**2 in the form v*g**2 + p + q*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/3 + 8*k**4\/3 + 8*k**3\/3 - 44*k**2\/3 - 2*k + 12 = 0. Calculate k.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3)*(h*h**8)\/h)\/(h**1\/h*h**(-3)) assuming h is positive.\nAnswer: h**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1278 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14920 (base 10) in base 3?\nAnswer: 202110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -450*i - 8. What is the units digit of m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + -4 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (144 + -140)\/(-3 + 0 - -6). Factor -s*r - 4\/3 - 1\/3*r**2.\nAnswer: -(r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17383 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) 2\/7 (c) -2\/123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p - 494 = -350 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2063*r - 69228 = -436*r + 937*r for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 < -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 10 = -4*w, -3*w + 325 - 335 = -q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21950967\/4 or 5487742?\nAnswer: 21950967\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63.91 + -64. Let m = n - 6.91. What is the smallest value in 0.1, m, -2, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -426\/5 - -1801\/30. Let l be (2 - 371498\/(-22980)) + 0. Let c = l - -1\/1915. What is the common denominator of v and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 108\/(-270) + 3\/(15\/362). Let y(o) = -4*o**2 - 8*o - 4. Let c be y(6). What is the common denominator of 1\/9 and (-2)\/(-3) + c\/w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (38 - (18 - -19))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2351, 9287, 20821, 36959, 57707?\nAnswer: 83071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/87318?\nAnswer: 5\/87318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 529*m**2 - 2140*m + 4111. Determine h(533).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -818.84 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93 - 99. Let i be (a - 57\/(-9))\/(4\/(-3)). Let m = 11 + -16. What is the nearest to i in 4\/3, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -24*c + 440. Let x be z(18). Let i(b) be the second derivative of 0 + b + 5\/2*b**2 - 1\/6*b**3. Give i(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132\/(-12)*2\/(-77)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 4:01 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 59, 48, 29, 2, -33, -76, -127?\n\"Answer: -4*m**2 + m + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 466 - -24. Round h to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 39*r**2. Let w(s) be the first derivative of -2*s**3\/3 - 47. Determine w(y(x)).\nAnswer: -3042*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 3) + 5 - (16 - (13 - 8))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*d = -2*d - 13, 5*d - 5 = 0. Let b(c) be the third derivative of 0 + 5*c**h + 2\/7*c**3 + 0*c - 19\/84*c**4 + 1\/14*c**5. Factor b(m).\nAnswer: 2*(3*m - 2)*(5*m - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3608546?\nAnswer: 2, 1804273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14*1\/((-28)\/(-8)). Suppose x*b - 15 = b. Suppose 74 + 0 = 4*d + 5*y, 0 = 5*d + b*y - 95. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -305679 from 6002518.\nAnswer: 6308197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1900) + sqrt(1900)*1*-6 + sqrt(1900))**2 + ((sqrt(190) + 2*sqrt(190))*-1)\/(sqrt(10) - (sqrt(10)*2 + sqrt(10))*-3).\nAnswer: -3*sqrt(19)\/10 + 30397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 3*d**2 + 20*d + 27. Determine j(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.2 (c) 4 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-10)*(-2)\/12 + 20\/(-204)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -5*t - 22, 4 = -10*t + 9*t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4 + 2 + u + 3*u + 0*u. Let o be d(4). Suppose -8*b + 28*b - 240 = 0. Solve 2*k = 4*i + 16, 4*i + b = -3*k - o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2980?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let p be h(-5). What is the third derivative of 4*x - 4*x + 50*x**4 - p*x**2 - 48*x**4 wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 100. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -291 * 0.3\nAnswer: -87.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -63452, 2\/9, -21, -4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64208 (base 10) to base 9.\nAnswer: -107062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 0 - (-192 - -132)) + 23?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 10*m + 7*m = 30, -3*a = m + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 3035d44?\nAnswer: 3035d3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*v + 8*v**4 - v**4 - 5*v**4 - 4*v wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*b - 2, 3 = f + 2*f + 3*b. Let c(o) = 12*o**2 + 10*o - 25. Is 53 a factor of c(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6318*j**2 - 1594*j**2 + 676*j**2.\nAnswer: -7236*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010001001 - 100?\nAnswer: 101010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*l - 2*k, 0*k - 3*k - 15 = -2*l. Suppose -p + 15 = d, l*d = d + 4*p. Solve 0 = -4*y + 3*z + d, 0 = -5*y - 5*z + 20 + 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.863276 millimeters?\nAnswer: 0.000863276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5652562 and -232796.38?\nAnswer: 232796.9452562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*k = -8981 - 14604 for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k + 44. Let j(g) = 3*g**2. Give h(j(z)).\nAnswer: -12*z**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*o**4 - 2*o**3 + 64909*o**2 - 4799872*o wrt o?\nAnswer: -84*o**2 - 12*o + 129818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*y - 4*d, -3*y - 3 = -5*d + 2*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -33116197 divided by -5\nAnswer: 33116197\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 6695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = -0. Let f be 0\/7 + (u - -1). Suppose w = 5*w - 8. Solve -4*p + 3*s = 14, -f*p - 3*s + w + 0 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 divided by 2?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5864, -5894, -5924?\n\"Answer: -30*p - 5834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + s - 2*s - 236 = 0, s + 587 = 5*k. Suppose -96*u - 307 = -2899. Does 26 divide (1 + 23)*k\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7)\/(n*n**(-6)\/n*n))\/(n**(-1)*n)**(-2\/37) assuming n is positive.\nAnswer: n**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w - 9. Let a be i(10). Let j = 49 - a. What is the remainder when 167 is divided by j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 762437961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/154 and 101\/20.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q - 53. Let p(y) = y + 26. Let f = -37560 + 37556. What is f*d(j) - 9*p(j)?\nAnswer: 3*j - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -9. Let k = j + 6. Suppose 4*g - 157 = p, -k*g - p + 4*p = -111. Calculate the remainder when g is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*i - 6*i + 19, 4*i - 24 = 2*m. Sort 1, -3, m, -190 in increasing order.\nAnswer: -190, -3, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/sqrt(7))\/((sqrt(4) - sqrt(64)*4) + sqrt(4)).\nAnswer: -3*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y + 36. What is v(17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/120 - 2*z**5\/15 + 11*z**4\/24 - 5*z**3\/3 - 31*z**2. Give k(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 285784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -351 + 1405\/4. Calculate the common denominator of z and 2\/(-3) + (-338)\/132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3, -3*l = -2*w - 79 - 8. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 12:09 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 4.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/(3\/234). Let k = g - -89. Is k a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -10 + 12 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7. Let k(r) = r**2 + r + 3. Let l be k(t). Solve u = -2*d + l*u - 6, -4*d - 15 = -u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3545 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16389516*a**4 + a**2 - 20532247*a?\nAnswer: -196674192*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(0 + 2*sqrt(5) - sqrt(5)).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32447290?\nAnswer: 2, 5, 3244729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) -0.5 (c) 2\/13 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -29. Calculate the greatest common divisor of u and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-360)\/(-1890))\/(16\/(-24)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21712069764433.000278 - -21712090321992. Let c = v - 20557526. Let n = c + -33. Round n to five decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -44549.\nAnswer: -44549.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/1239, -3, 0.5, 37, -1 in descending order.\nAnswer: 37, 0.5, -4\/1239, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*2\/18*3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6534 (base 11) to base 12\nAnswer: 4bb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -p + 33, 6*x = 2*p + 5*x - 73. Suppose 0 = -3*r - u + p, -4*u + 1 = -2*r + 21. Solve 0 = c + 3*c - r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 5, 3, -2612900, 2, 1 in decreasing order.\nAnswer: 5, 3, 2, 1, 0, -1, -2612900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*j + 1655, 2*x = -2*x - j + 1324. Suppose -x = -2*v - 67. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 208596.9g in nanograms?\nAnswer: 208596900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 1806596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 + 5*q**2 - 3*q**2)*(-q - 1 + 1) + 17*q**3 - 3*q + 3*q + q**3 + 4*q**3 + 7*q**3 to the form n*q + z + a*q**2 + u*q**3 and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(1 - 1 + 2*s**4) - 10*s**4 + 33*s**4 - 30*s**2 + 50*s**2 to m + t*s**4 + a*s**3 + p*s + f*s**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 185a35a - -2?\nAnswer: 185a360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 + 2 + 13*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -658 * 4.\nAnswer: -2632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 53, 42, 177, 458, 885?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -414 (base 8) in base 6?\nAnswer: -1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.8, 0.3, 12445 in descending order.\nAnswer: 12445, 0.8, 2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42225190 and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47519 and 4667293.\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + -1012?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + -3 + sqrt(15)\/sqrt(3).\nAnswer: -4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198931 greater than or equal to 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18248.\nAnswer: 2, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*t - 3*t**3 - 282 - t**3 + 253.\nAnswer: -4*t**3 - 50*t - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 267789080149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7495345 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37487, -149971, -337467, -599993, -937567, -1350207, -1837931, -2400757?\nAnswer: -3038703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266293731?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -66. Let n be (-2)\/(q\/9 - 3). Let c = -5 - -8. Calculate the highest common divisor of c and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -126 and 125454.\nAnswer: -15807204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from llzzzlzziii.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -28. Suppose 2*x + 5 = -4*b - x, 2*b + 5*x = g. Let n(m) = -m - 3. Let p be n(b). Solve -4*d = 5*i - 4, -2*d - p*i - 8 = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 918007541, 918007542, 918007543, 918007544?\n\"Answer: p + 918007540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11337647 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -59280?\nAnswer: -1\/11856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7499410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2. Let n(q) = -20*q + 3. Give s(n(z)).\nAnswer: 800*z**2 - 240*z + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -40, -95, -192, -343, -560, -855?\n\"Answer: -2*a**3 - 3*a**2 - 2*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/111, 1\/3, -0.1, 715?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i + 3. Let q be m(-2). Sort 0, q, 2 in ascending order.\nAnswer: q, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 29 = 2*x - 103, 4*i - x = 287. Let g = -4 - -40. Calculate the highest common divisor of i and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170 and 7750.\nAnswer: 131750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 156, 308, 456, 600, 740?\n\"Answer: -2*s**2 + 158*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 686 = -86. Let m = 557 - 577. What are the prime factors of 5224\/30 - m\/g?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**5\/140 - c**4\/28 + c**3\/21 + 3*c - 4. Find k, given that p(k) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkpn when four letters picked without replacement from {n: 4, k: 6, p: 10}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1))\/(1377\/(-3213)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 282333391*n + 2 + 282333391*n + 4*n**3 - 2.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -43 - 0 - 46 - -52\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 96. Let i be d(0). Suppose 24 = -f + i. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 - -81. Let s = 5.019 - -0.081. Let i = s + -0.1. What is the biggest value in 1, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37715105 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 j, and 2 k when four letters picked without replacement from {z: 1, k: 3, y: 6, j: 5, i: 3}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-42))\/((-60)\/560)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/((-112)\/(-8))*3\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrfrkrrmnnhrrfrkrf. Give prob of picking 1 r and 1 k.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5462*a + 32791. What is n(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 573, 2327, 5253, 9351, 14621, 21063, 28677?\n\"Answer: 586*y**2 - 4*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 242151375?\nAnswer: 1452908250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3112615 + 1097943 = 4*h. Let o(i) = 2561*i**2 + 24*i - 8. Let v be o(10). Let f = v - h. What is f rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*q**5 - q**2 - 2*q**2 - 4790*q + q**4 + 21*q**5 + 42*q**5 wrt q.\nAnswer: 1800*q**3 + 12*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 8*l. Suppose 3*k = 2*k + s + 13, -4*k - 5*s + 7 = 0. Calculate d(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q**3 + 5*q**2 + 11*q + 6. Let t be l(-2). Solve -3*d - 74 = -t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + (-10)\/(-6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1391 divided by 1391\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*(-21)\/5166*9\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q - 13188 = -12972 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-37 - (-67 - -9))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 14*o**2 - 1859*o + 7213. Calculate h(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.0697793.\nAnswer: -0.02791172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 442 - 316. Calculate the greatest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-15) - 1 - 30\/(-75).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 556\/13 + -3866\/91. Sort -2, -2\/17, g, -0.3.\nAnswer: -2, -0.3, -2\/17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -2 (b) -51345\/67 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.4 + 1.4. Is -2\/9 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 530, 2094, 4692, 8318, 12966, 18630, 25304?\nAnswer: 32982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-44)\/6)\/(12\/(-18)). Let u(h) = -h**3 + 12*h**2 - 13*h + 14. Let v be u(f). Let l = v - -12. Solve 0*p + 4*p = l*w - 12, w + 6 = -2*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + (-21)\/(-6))*24\/(-9). What is the closest to 1\/2 in 0.5, -3.3, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -11. Suppose 0 = k*b + 2491 - 22. Let g = 1194 + b. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 + 2*f**4 + 13189*f + 76 + 13184*f - 26375*f as y*f**2 + g*f + i + k*f**3 + s*f**4 and give i.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -80. Let h = k - 34.54. Let w = -0.5295 - h. What is w rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5172 divided by 6?\nAnswer: -862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 5*m + 11, 21*d - 3 = 20*d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*a, -2*a = -2*h - 0*a - 202. Let m = 109 + h. Solve -7*o + 8*o = m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 108465.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -5) + 14\/(-63)*-32?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 + 16*m + 13. Calculate g(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 - -68. Is 37 a factor of m + 952\/12 - (-2)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 18 = 4*x, 0 = r + 3*r + 5*x + 12. Let o be -1 - (-1 + -11)\/r. Let t(l) = l**3 - 4*l**2 - 6*l + 4. Let p be t(o). Let s(n) = -13*n - 1. What is s(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2. Let r(x) = -10 + 42*x**2 - 3 - 134*x**2 + 39*x**2 + 46*x**2. What is r(n(d))?\nAnswer: -7*d**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24875 by 4975.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 10. Let l(u) = -u + 3. Let k(a) = -1. Let n(s) = y*l(s) + 6*k(s). Differentiate n(f) wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774208 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 114*d**2 - 20*d - 933. Differentiate s(f) with respect to f.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1052533 + -4?\nAnswer: 1052529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -342, -688, -1048, -1428, -1834, -2272?\nAnswer: -2748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*d - 49*d + 360 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 273?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 977782\/25 + -39102. Let c = 128\/25 + t. Which is bigger: c or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-472)\/(-132) + (-60)\/220.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 7*m - 9. Let n be i(-8). Let g = 23 + n. What is the greatest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 302 - -3.936812.\nAnswer: 305.936812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + d - 4*d = 0, -3*a - 2*d = d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00689122878 rounded to six decimal places?\nAnswer: 0.006891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1735 - 6050 = -2*w, 0 = 5*v - 5*w - 12975. List the prime factors of v.\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 4:48 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -61, -91, -111, -115, -97, -51, 29, 149?\n\"Answer: q**3 - q**2 - 34*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5*l - 16 = -5*b, -2*l + 4 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) 3402 (c) -1\/5 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d - 895 = -3688. Suppose 5*n + d - 573 = 0. Calculate the remainder when n is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20*177\/(-2950))\/((-7)\/10).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5*f + 24 = 0, 1 = -2*f + 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.208067 and 2.\nAnswer: 6.416134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*k - 76, -14*k + 11*k - 5*u = -113. Suppose -x - 32 = -k. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(2) - sqrt(50)))**2 - (sqrt(200)\/sqrt(5))\/sqrt(8).\nAnswer: -sqrt(5) + 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 608*w**2 - 12836*w + 1241. What is v(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2217\/4 - -558. Let u = -510 - -5618\/11. Calculate the common denominator of h and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(260\/182))\/(-77).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 415517895*x**2 - 283063707*x?\nAnswer: 831035790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - -20. Let i = c - 35. What is the third smallest value in -2, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21535 (base 6) in base 4?\nAnswer: 233003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 36. Let q be 145 + -3 - 0\/2. Suppose 81 = 3*v - r, -3*v - 4*r - q = -8*v. Calculate the remainder when v is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -3 (c) 24512 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/14 and 137\/7810?\nAnswer: 54670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**3 - 4*i**2 - 4. Let y(z) = z**3 + z. Let w(x) = c(x) + 4*y(x). What is the units digit of w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139 by -672119.\nAnswer: 139\/672119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 13*h - 13. Let k(y) = -y**3 + y**2 + 9. Let a be k(0). What is the tens digit of n(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -117. Suppose 60*a - m*a = -980. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*z**2 - 2346*z + 3912*z - 1484*z)*(0*z**2 + 2*z**2 - 4*z**2).\nAnswer: -70*z**4 - 164*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5531100 by 55311.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**2 + 2*j - 8. Let k(o) = -9*o**2 - 4*o + 15. Let q(x) = -11*h(x) - 6*k(x). Let v be q(3). Let i(y) = -y**3 - 4*y**2 + 4*y - 1. Give i(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9460 - -47306\/5. Determine k so that -13\/5*k**2 - o*k**3 - 1\/5*k**4 - 12\/5*k - 4\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120983035 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k + 4. Let v be o(-9). Let j be 21\/v + (-204)\/(-14). Let z = -21 + 51. Calculate the highest common factor of j and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3221 + -3155. Calculate the remainder when 963 is divided by q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*k - 146 = -14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 12) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (4 - 1 - 4)) + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = 1. Let d(k) = 2*k**2 + 2*k - 3. List the prime factors of d(h).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6226861 grams in kilograms?\nAnswer: 0.0006226861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*n = 5*f - 38, -4*f = -5*n - 37. Let o(d) = 2*d**3 - 17*d**2 + 8*d. Let z be o(f). Suppose z = 5*c - c - i - 8, -5*i = c - 2. Sort c, 3, 7.\nAnswer: c, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-9))\/((-10)\/(-6)). Solve 9\/5 - 6\/5*g + t*g**2 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511137393 a multiple of 8879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhb when three letters picked without replacement from bqqhh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303 + -41322?\nAnswer: -41014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*p + 290*p + 18480 = -296*p for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(5))**2 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 51. Suppose f*b = 37 + 91. Calculate the greatest common divisor of 112 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w**2 - 5*w + 5. Let j(p) = 5 - 18*p + 15*p - 3*p**2 - 2. Determine 5*j(k) - 3*v(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 3906?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -546640, -546638, -546636, -546634?\n\"Answer: 2*q - 546642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728))**2*-4 + 1 + (-1*sqrt(960))\/((sqrt(80)\/sqrt(4))\/sqrt(4)).\nAnswer: -6911 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 - 11*x**2 - 8*x + 8. Let d = 288 + -345. Let j be 4\/(-38) - (-222)\/d. Calculate v(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 2*f**3\/3 + 7*f**2 - 10*f + 5. Let y be v(-8). Solve -4*r = -4*z - 16, -3*r + 10 = -4*z - y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ktghkktgk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 258 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 7560831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(156)*6 + (sqrt(156) + 2*sqrt(156))*-6))\/((sqrt(24)\/(sqrt(2) + sqrt(2)*-5) - sqrt(12)) + sqrt(12) + 1*sqrt(12)*-2).\nAnswer: 160*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from opojpodpshd.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 168208206 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 3 (c) -25640363 (d) -2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1031013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 2276?\nAnswer: 2279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*d**5 - 2*d**4 + 613*d**2 + 2186652*d wrt d.\nAnswer: 1460*d**3 - 24*d**2 + 1226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3 + 4) + (-20)\/(-1). Let d = 51 + -36. Let x = u - d. Solve 3*w - x = 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57988163 to the power of 1\/2, to the nearest integer?\nAnswer: 7615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = 5*x + 50*i - 83, -7*x - 5*i = -2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 31*t**4 - 3 - 10*t**3 - 29*t**4 - 3 to the form s + l*t**3 + d*t**4 + p*t + w*t**2 and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -w - 18, -4*w + 3*w - 5*p + 27 = 0. Suppose w*z - z = 1. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/48*0 + -1 + 2. Put -35, n, 3 in descending order.\nAnswer: 3, n, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 60070 and -5747.\nAnswer: 54323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-9)*-3*3. Solve -j*m - 5*c = -29, 2*c + c - 23 = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microsecond in nanoseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 58*l**2 - 111. Let v(c) = -20*c**2 + 37. Determine 8*v(u) + 3*z(u).\nAnswer: 14*u**2 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3787 - 3789 + 9723*d**2 - 9699*d**2.\nAnswer: 24*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12537238 and 218.\nAnswer: -12537020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3563 + 12328. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 25*p**2 + 23*p + 28. Let r be x(24). Is (380\/(-30))\/(r\/(-42)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(3\/65))\/1. Let o = -43 - c. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 1\/30*h**6 + 0 - 5\/6*h**4 + 4\/3*h**3 + 1\/5*h**5 - h - 2\/105*h**7 + 5*h**2. Find z, given that k(z) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 1. Let l = 17.69 - 17.64. What is the smallest value in l, 0.4, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98294, 98324, 98390, 98510, 98702, 98984, 99374, 99890?\nAnswer: 100550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4\/7 - 180*h**3\/7 - 165*h**2 - 2160*h\/7 - 1188\/7 = 0 for h.\nAnswer: -3, -2, -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 + 72\/(-105). Suppose 2*f = 5*f. Let i be (54\/99)\/((-1695)\/(-165) + -9). Which is the closest to 3? (a) i (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + x = -117, -5*x - 39 = 5*r - 4*r. Let u be (16 + -1)*13\/r. Which is the nearest to 1\/3? (a) -0.5 (b) -3\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011626 rounded to four decimal places?\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**5\/5 + 72*c**4\/5 + 268*c**3\/5 - 7136*c**2\/5 + 2640*c - 1280 = 0?\nAnswer: -10, 1, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -41*d - 14. Let q(b) = -14*b - 5. Give 11*q(j) - 4*w(j).\nAnswer: 10*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**5\/12 - 5*i**4\/12 + 5*i**3\/6 - 13*i**2. Factor s(y).\nAnswer: 5*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 1. Let u(d) = d**2 + 4*d - 18. Let n be u(0). Let r = -84 + n. Let t(o) = -16*o + 17. Determine r*p(c) + 6*t(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 119085, 238168, 357241, 476298, 595333, 714340?\n\"Answer: -j**3 + j**2 + 119087*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**4 + 4295*p**3 - 537597*p**2 + 17596845*p - 33077646 = 0.\nAnswer: 2, 63, 4167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 3:41 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 less than 3?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -523\nAnswer: -1569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132838 (base 9) to base 13.\nAnswer: 2aa70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6294742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*3\/(36\/(-57)) + 30095\/(-2315)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + f + (-2*f + 0*f + f)*(-5 - 2 - 2).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 10*n = -777. Let g = -96 + n. Let v = g + -12. Solve v*j + 2 = 5*o, 2*o = -3*o + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/8)\/(-5 + 712\/128)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 247\/3 - 737\/9. What is the smallest value in v, 1\/3, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 119?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9 - 4.6. Let o = -1 - -1. What is the third smallest value in x, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3275\/(-1100) + 3)\/(3\/(-4)).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2, -868 in increasing order.\nAnswer: -868, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 87. Is ((-798)\/z)\/((-2)\/(-5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -28198.\nAnswer: -28198.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*y + 112 = 54*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 6*m**2 - 2*m. Let z(v) = -v**3 - 13*v**2 - 5*v. Let a(w) = 5*d(w) - 2*z(w). Find the third derivative of a(n) wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24235 + -24234.8719. Which is smaller: i or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c + 5472 = -26*c. Is 343 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -28.8. Which is the smallest value? (a) 1\/2 (b) 3\/5 (c) 2 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i. Let g(c) = -2*c + 1724298. Give g(n(d)).\nAnswer: 6*d + 1724298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(832) + 0 - (-5*(sqrt(156) + sqrt(156) + -3*sqrt(156) + sqrt(156)))\/sqrt(12))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -8*x. Suppose h - 16 = -3*h. Let w(r) = -5*r + 22. Let a be w(4). Let v(q) = 5*q**2 - h*q**2 - a*q**2. Give v(j(z)).\nAnswer: -64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7433*k*r**4 + 122308*k - 4*r**4 with respect to r.\nAnswer: -29732*k*r**3 - 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by -5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q + 13. Suppose r - 3*w + 18 = 0, 0 = -2*r + w - 2*w - 8. Let l(i) = -2*i + 7. Determine r*t(s) + 11*l(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2. Let a be y(5). Let c = -14 - a. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12837 = -15*m - 374*m for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486051.\nAnswer: 3, 162017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 584 and 2106488.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 times 77956.03\nAnswer: -132525.251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22326 - -26?\nAnswer: 22354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 320079359 to the power of 1\/4, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(648))\/(-2*sqrt(6)*-2).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -w + 6*w. Let o = 765 + -768. Let g = -1 + 1. Sort w, g, o in decreasing order.\nAnswer: w, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 7. Suppose 3*k + 388 - 1114 = n. What is the highest common factor of 22 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 6*o - o**2 - 11*o. Give l(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*h - 16, -a = 2*h + 2 - 6. Let u = h + 5. Suppose 4*p = 5*d - 2*d + 907, u*p + 2*d - 1105 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -0.7 (c) 1 (d) -0.1 (e) 28 (f) -123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 151*m**2 + 7043*m + 50413. Calculate d(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.453 + 6.452993114. Round b to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o - 308. Suppose -5*u + 0*u = 0, o = s - 4*u. Let y = s + 38. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 + 11*o**4 + 2*o**2 - 9*o**4 + (5*o**2 - 3*o**2 + 0*o**2)*(4*o**2 - 2*o**2 + 2*o**2).\nAnswer: 10*o**4 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in 0.3, 3, 2\/14177?\nAnswer: 2\/14177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 392087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/78*(-6)\/4. Let t = 0.4 - 34.4. Let g = -33 - t. Which is the closest to g? (a) 2 (b) -0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/2748)\/((-3)\/44))\/((-117744)\/32112)?\nAnswer: 1\/229","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 22, -38, -21 in increasing order.\nAnswer: -38, -21, -3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.84 + 7352960.\nAnswer: 7352963.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1712823.\nAnswer: 3, 7, 81563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.091923.\nAnswer: -0.0367692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -24b1?\nAnswer: 24b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42615958 divided by -6087994?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 165254\nAnswer: -15\/82627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -26 - 16 - -13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*k + 663 + 2226. What is the remainder when k is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -5 (c) 9 (d) -2 (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9986729637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 16\/(-3) - (211 + -215).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*-1)\/((-5)\/(80\/(-12))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, -22, -4, 4 in decreasing order.\nAnswer: 7, 4, 0, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 + w - 1. Let d be l(1). Let u(n) = 3*n - 13. Let i be u(5). Suppose 3*z = i*z + d. Solve -k - 13 = -3*s, -3*k + 6*k = -3*s - z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**2 + 285. Let a(o) = -6*o**2 + 287. Determine -3*a(g) + 4*t(g).\nAnswer: -2*g**2 + 279","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*s - 68 = 39, -s - 87 = -2*q. Let v = 33 - 20. Let n = v + -7. Calculate the remainder when q is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.168 (b) -5\/3 (c) 2 (d) 0.5 (e) -5.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 7 - 22)*(50 - 12*t - 50).\nAnswer: 228*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/5 - (-145)\/(-25). Let o = 12\/23 + -62\/207. Which is the nearest to o? (a) q (b) -3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*b = 35, -2*t + 2*b = -7*t + 25. Let 1\/2*j**t + 1\/2*j - j**2 + 0 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -200200?\nAnswer: 200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*h - 15*h - 88. Let j(l) = -l**3 - 6*l**2 - l - 6. Let x be j(-6). Solve 2*k + u - h = x, 2*k + 2*u = -3*k + 26 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143846233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*g - 5. What is the second derivative of -2*c**2 + g*c**2 + 0*c**2 - 2*c wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2 - 3*x. Let s be v(2). Suppose f = -f + 2*p + 4, -5*f + s = 5*p. Factor 2*w**4 + 3*w**3 - f + 2*w**3 - 4*w - w**3.\nAnswer: 2*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*i - 32*r + 28*r, 6 = 2*r. Put 1\/3, 57, 10, i in descending order.\nAnswer: 57, 10, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-64)\/102 - 2\/3. Which is smaller: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 11*t**2 - 34*t - 294. Calculate v(-10).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 55. Let x be l(26). Let k = 1 - -26. What is the greatest common factor of k and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10165 - -11?\nAnswer: 10176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, m: 7}. Give prob of sequence mmmi.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5622114 is divided by 216234?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746799771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -258\/29 (c) 60 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-27)*(-3)\/(-2). Let a be 14\/(-6) - (-3 - (0 + -1)). What is the closest to a in -1, g, 3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 6*s - 5. Let q be p(7). Let b(n) = 75*n - 1. Is b(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 594, 1177, 1760, 2343, 2926?\n\"Answer: 583*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 138 * 0.3\nAnswer: 41.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 31. Solve 4*z - u*p = -28, -2*p = -z + p - 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -759, -710, -603, -408, -95, 366?\n\"Answer: 5*p**3 - p**2 + 17*p - 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2191 - -2216. Suppose s*j = 12*j + 65. Factor 4\/5*x**2 - 2\/5 + 2\/5*x**j - 2\/5*x**4 - 4\/5*x**3 + 2\/5*x.\nAnswer: 2*(x - 1)**3*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -23*p - 30. Let j(v) = 28*v + 29. Let o(f) = -6*c(f) - 5*j(f). Give o(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7391, -7707, -8037, -8387, -8763, -9171?\nAnswer: -9617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1365 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -194*s**2 - 13*s - 10. Calculate t(2).\nAnswer: -812","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**2 - 102*u**4 - 3 + 120*u**4 + 185*u**4 + (0 - 5 + 3)*(u**4 + 2*u**3 - 2*u**3) + 2*u**4 + 4*u**4 - 5*u**4 + 0*u**4 + u**4 + u**4.\nAnswer: 204*u**4 - 6*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -143\/35 - -19\/5. What is the third biggest value in -1, 69\/2, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20069910.\nAnswer: 2, 3, 5, 7, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19732 + 18593 = -383*m - 358 for m.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaawaawawfwwafa. What is prob of picking 1 f and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27\/108*64\/(-184)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9534*k - 53 - 9529*k + 43.\nAnswer: 5*k - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -912*9*(11\/(-4) - 1). Suppose -9*i - y = -3*i. Round i to the nearest 100.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -352021?\nAnswer: -352023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1122988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w. Let q(s) = s - 4*s**2 + 15*s**2 - s. Calculate f(q(j)).\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100114424 - -1?\nAnswer: 100114430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -2*j - 7, a + 21 = -j + 31 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -118*h + 111*h - 14. Sort -8, h, -1 in descending order.\nAnswer: -1, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q - 74. Let k be v(-13). Suppose -5*y - k*c + 322 = 0, -c + 257 = 4*y + 2*c. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -319\/5, -0.6, -0.09, -0.14, 2, -5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 816 divide 1643077985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:12 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2993\/24475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 76\/(-3) - (-3)\/9. What is the remainder when (-2)\/(-7) + 117\/7 is divided by 18\/v - (-56)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + -101. Which is the second smallest value? (a) 0.4 (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 4600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2411 - 2405. What is the smallest value in v, 2\/5, -640?\nAnswer: -640","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*o + 11, -5*o + 4*o - 3*d + 15 = 0. Solve -6 = -x - 4*y, 5*x - o*y - 5 = 2*y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -410 by -82.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*p = 0, -5*g + 4 = 2*p + 20. Calculate the least common multiple of 9 and -9*(g - -3)\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5981 + 5988. Let x(s) be the second derivative of 0 - 1\/42*s**t - 1\/4*s**4 - 8*s + 0*s**3 - 1\/30*s**6 + 0*s**2 + 1\/4*s**5. Factor x(i).\nAnswer: -i**2*(i - 1)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 21, 24, 29, 36?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64692 is divided by 434.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 2*p - 3. Determine i(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 470.2035 years?\nAnswer: 5642.442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 5. Let t be v(-10). Let c be (-9)\/(-30)*2*t. Suppose -c*j = 0, -5*o + 6*j = 3*j + 11500000. What is o rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 228 - 222. Let c be 0 + -4 - 2\/1. Let q = c + 10. What is the lowest common multiple of q and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -63, -87, -131, -201?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24bab6 (base 12) in base 7?\nAnswer: 5052516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 686 divide 67276706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h**2 + 5. Let y(v) = -9*v**2 - 4. Let n(z) = 4*c(z) + 5*y(z). Let l = -26 - -28. Let o(j) = -5*j**2 + 2*j**l + j**2. What is n(o(q))?\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48383517 divided by -7.\nAnswer: 6911931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**6\/10 + 3*a**5\/20 - 11*a**4\/6 + 197*a**3\/6 - 58*a - 5. Find the second derivative of i(u) wrt u.\nAnswer: 36*u**2 + 18*u - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -565 + 559. Let x be 3\/(-7) - 8352\/(-84) - s. Suppose -2*b = -b - 42. What is the highest common divisor of x and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5221)\/(-575) + 4\/(-50). Solve -n - 4*v = 1, -n - n + 3*v = -y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 158 (b) 0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 327187.29 and -19.\nAnswer: -6216558.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u**3 - 443*u**2 - 16*u + 16. Let o(y) = -15*y**3 - 738*y**2 - 27*y + 26. Give 13*n(r) - 8*o(r).\nAnswer: 3*r**3 + 145*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -72466, -72468, -72470, -72472?\n\"Answer: -2*p - 72464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25c6 (base 13) to base 16.\nAnswer: -1519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17925 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: Solve -44788*s + 44772*s = -32 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29 and 25480?\nAnswer: 738920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 100907283287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5, -144, -54\/5, 3 in ascending order.\nAnswer: -144, -54\/5, -0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**4 - 4*w**3 + 5*w**2. Let t(m) = 8*m**4 + 8*m**3 - 9*m**2. Let g(d) = 7*s(d) + 3*t(d). Find u such that g(u) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a - 194 = -l, 2*l = -2. Let o be 1 - a\/3*-1. Is o*((-4)\/(-3))\/(-2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640 divided by -41?\nAnswer: -640\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360986 and 1989958?\nAnswer: 1814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153413940 divided by 30682788.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.39 - -8.390001793. What is q rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/7 - 10945*j**2\/7 + 6256*j - 43796\/7.\nAnswer: -(j - 2)**2*(j + 10949)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**3*c**2 + 13434960*b**2*c**2 + c**2 - 939972*c - 47 with respect to b.\nAnswer: 3*b**2*c**2 + 26869920*b*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 4*o + 624.\nAnswer: -4*(o - 13)*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.733505*0.2.\nAnswer: -0.346701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1630*o + 17. Is n(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 488\/12 - 2\/(-6). Let x(t) = -t**2 + 22. Let s be x(0). Factor 45*j + 12*j**5 + 0 + s*j**4 + r*j**4 + 6 + 123*j**3 + 111*j**2.\nAnswer: 3*(j + 1)**3*(j + 2)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 196 = 2*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 8*h**2 - 7*h + 17. Let n be b(7). Let o(c) = -c**3 + 17*c**2 + 5*c - 37. Calculate the least common multiple of 22 and o(n).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2929 - 5606 = 3*l - 8*l. List the prime factors of l.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) -2 (c) -3 (d) -6 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 549 - 539.76. Let l = p + 0.76. Sort -2, l, 0.5.\nAnswer: -2, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-2 - -1))\/((-2)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*n - 26*n - 9669 = 0. Suppose w = -111 + n. Calculate the remainder when w is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7135750049.\nAnswer: 61, 116979509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 9:17 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 37 - 39. Suppose 3 = 4*f - 17. Solve f*k + 7 = -2*h + 18, -4*k - y = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/4, 0.5, -83, 3.1, -90\/17 in decreasing order.\nAnswer: 3.1, 0.5, 0, -1\/4, -90\/17, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -5 (c) 9 (d) 0.2 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21678*u = 21670*u + 9000. Calculate the remainder when u is divided by 141.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/((2\/(-7))\/1). Suppose 3*l = 6*l - a - 68, u = 2*l - 5*a. What is the least common multiple of l and 11 + 3 + -2 + 2 - -25*52\/(-650)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*t - 0*t + 72, -5*j = -3*t - 172. Suppose 2*g + 3*g = j. Let u = g + -3. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1837.\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100011 + 110?\nAnswer: -1011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5251, 10502, 15735, 20938, 26099?\nAnswer: 31206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let b(t) = -133*t + 5. Let c(s) = -151*s + 6. Let a(n) = 6*b(n) - 5*c(n). Give -a(i) + 2*v(i).\nAnswer: 41*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41142 - 222?\nAnswer: -41364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 30*d + 140. Let u be k(-5). Put u, 3\/5, -5 in decreasing order.\nAnswer: 3\/5, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 40 = 2*x. Suppose x = -4*z + 6*z - 4*q, -5*z + 3*q = -18. Is (4 - z)\/((-3)\/(-345)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 2*g**4\/13 + 50*g**3\/39 + 6*g**2\/13 + 47. What is j in u(j) = 0?\nAnswer: -6, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 1753692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2483, -56, -339.\nAnswer: -2483, -339, -56, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(143)*5)\/((-4*sqrt(132))\/sqrt(12))*-4)**2.\nAnswer: 8125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*z**4 + 312.\nAnswer: 56*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 2. Let u be 105\/300 + 10\/(-25)*-1. What is the nearest to 0 in u, q, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 5, 3, -39 in descending order.\nAnswer: 5, 4, 3, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 196*f - 2. Let m be y(2). Suppose 0*t - m = -5*t. Suppose -38 = -2*a - 2*i, 4*a + 4*i - 2*i = t. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1653234 to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 19 = -6. Suppose 2*f + 5*j + 5 = 0, -l*j + 2 = 17. Suppose -f*q = -3*q - 158. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22\/383 - -44591\/3830. Calculate the common denominator of (47\/(-3))\/(6\/9) and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/4 + 31*i**3\/4 + 253*i**2\/4 + 165*i\/4 - 225\/2.\nAnswer: (i - 1)*(i + 2)*(i + 15)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 6*u + 6*u)*(-188*u + 32*u - 134*u).\nAnswer: -3770*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*p + 35*p**3 + 7*p - 2*p**3 wrt p?\nAnswer: 198*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3898324318.\nAnswer: 2, 7, 4937, 56401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - 3*g**3 - 3*g**4)*(-1 - 4*g + 5*g + 3).\nAnswer: -3*g**5 - 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 c, and 1 e when three letters picked without replacement from oatacocotcooceorto?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*c - 12 = 0, 0*v - 3*v - 3*c = -6. Let s = 2 - v. Find a such that 6 - a + 12*a**2 - 17*a**2 - 4*a + s = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -73*u + 47*u**2 + 39*u - 1 + 32*u + (2*u - 4*u + u)*(u + 3*u - 2*u).\nAnswer: 45*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 552, 1102, 1654, 2214, 2788, 3382, 4002, 4654?\nAnswer: 5344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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 37848253 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4875838467.\nAnswer: 3, 109, 14910821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/28 in 39519, 4, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q - 44 = 0. Let g = q - -24. Calculate the greatest common divisor of 52 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - v = 8, 0 = -2*g - 4*v + 9 - 27 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32831 is divided by 31477?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (0 - 3) - (-345 - -349).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1073 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**6\/360 + g**5\/60 + g**4\/12 + 3*g**3 - 17. Let r(f) be the third derivative of a(f). Determine r(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-150) + ((-18)\/10)\/(-3)*(-149)\/(-894).\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*h + 28 = 0, -5*v + h = -0*h - 24. Suppose -2*z + 30 = v*u - 10, 2*u - 2*z - 30 = 0. Solve -3*s = -k - 5, 4*k - k - 4*s = -u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, n: 4}. What is prob of sequence bnn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30952182.\nAnswer: 2, 3, 193, 26729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107306 divided by 16.\nAnswer: 53653\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428792.\nAnswer: 2, 7, 13, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22636.706462 minus -0.5?\nAnswer: 22637.206462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 10, b = -b + 3*s - 13. Let g be 0 + (0 - -4)\/2. What is the nearest to b in -3\/4, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 + -561\/7. Let h = -4 + 11. Which is the third smallest value? (a) 0.5 (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067123?\nAnswer: 269, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 - -92. Let p(f) = 2*f + 7 - 16*f - v. Let o(n) = n. Determine o(p(x)).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 3*(-8)\/6. Solve 0 = v + 2 + d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-9) + 60\/(-45)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17644259748 - 4.121.\nAnswer: -17644259752.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 + 255. Let c = r + -110. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l**2 + 12*l + 4. Let o(i) = -7*i**2 + 12*i + 3. Let s(q) = -3*k(q) + 4*o(q). Solve s(u) = 0 for u.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -20*f**3 - f**2 - f + 2. Let t(p) = -p**2 - p + 1. Give t(q) - w(q).\nAnswer: 20*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 476303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6478 = -1179*y + 2954 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8*u + 8 + 0.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1)\/(((-3)\/2)\/(20\/(-40))). Solve -24*n + 37 + 11 = h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 9 = -5*s + 5*i, s = -5*i + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p. Suppose -4*z + 5*d = 2, -16 - 2 = -4*z - 5*d. Let r(m) = 4*m**2 - 4*m**2 + m**z. Calculate n(r(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 250497 to the power of 1\/2, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 21120?\nAnswer: -21201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/24 and 101\/78984?\nAnswer: 78984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -185099630?\nAnswer: -2\/92549815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-3) + 0 - -3. Suppose -m + 1 = 3*x - 2, s = 2*x. Suppose -4*c + m*c = -44. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*n**2 + 9*n**2 - 2*n**2)*(-163*n**2 - 75*n**2 + 87*n**2) to the form q + h*n + z*n**3 + s*n**4 + r*n**2 and give s.\nAnswer: -2114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - h - 3, 3 = 4*u - h + 2*h. Let z be 28\/13 - (41\/13 + -3). Suppose 0 = -y, -u*c = z*c + 2*y - 516. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 + x**2 - 789*x - 9. Let r(f) = 9*f**3 - 4*f**2 + 3154*f + 39. Give 26*h(j) + 6*r(j).\nAnswer: 2*j**3 + 2*j**2 - 1590*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -19*c + 5. Let n(v) = 9*v - 3. Let a = 5 - 7. Let u(g) = a*h(g) - 5*n(g). Let p(b) = -2*b - 4*b + 2*b + 3. Calculate -5*p(o) + 3*u(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00619687914 to 6 decimal places.\nAnswer: -0.006197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 10*h**2 - 8*h + 6. Let v(s) = s**2 - 16. Let o be v(5). Calculate the remainder when 87 is divided by u(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 1.27, 3, -8, 1\/2, -3\/7 in descending order.\nAnswer: 3, 4\/3, 1.27, 1\/2, -3\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2212? (a) -3\/2 (b) 0.4 (c) 0.1 (d) -163 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**4 + 11*l**2 + 3*l + l + 2*l**3 - 3 - 11*l**2 + 2*l**4 to n*l**4 + p + d*l + j*l**3 + z*l**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-7))\/((-10)\/7)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -10 (c) -2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrhh when four letters picked without replacement from {r: 2, h: 18}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 0. Calculate the highest common factor of 176 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m - 16. Let t be w(-7). Suppose -t + 100 = 2*r. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8079 a factor of 161409221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -21?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -180*a**2 - 36181*a - 192. Give f(-201).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/12)\/((-141)\/188).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/66 and 37\/906.\nAnswer: 9966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -139, 5 in decreasing order.\nAnswer: 6, 5, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*d, -4*d + 24 = -2*l - 2*l. Suppose x = 3*h - 136, -2*h - d*x + 69 = -8*x. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 77 - -445348?\nAnswer: 445403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -28*c + 58*c - 32*c. Let j(t) = 2*t**2 + t**2 - 9*t**2. Calculate j(y(k)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 474, -121, -1780, -5049, -10474, -18601, -29976, -45145?\nAnswer: -64654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 968 = -0*g. Let a = g + 181. Let l = a + 866\/3. Find the common denominator of l and 47\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-40)*-2*(-70)\/(-56)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5549298 and 1234?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 355595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 2*j**3\/3 - 7*j**2\/2 + 5*j - 2. Let d(u) = -2*u**3 + u + 3. Let i be d(-1). Calculate m(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*((-6)\/(-9))\/(-2). Let b = 4 - i. Find the third derivative of b*s**4 + 2*s**5 - 2*s**2 - 5*s**4 wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 5:34 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, n: 6, o: 4}. Give prob of sequence no.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 33 + 0\/1. What is the common denominator of ((-7)\/z)\/(2\/(-47)) and 143\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**4 + 2472*n**3 - 141098*n wrt n?\nAnswer: 12*n**2 + 14832*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 12 = 15*g - 2*h, 3*g + 4*h = 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156990 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: Suppose 4*w - 812 = 9*x, 0 = 59*w - 55*w + 2*x - 856. Calculate the remainder when 222 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34235 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3647 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-972)\/(-810))\/((-8)\/15).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -108 - -6?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 501 + -500. Let r = 0 + -0.2. Let u = r + 0.2. Which is the closest to s? (a) 0.5 (b) -1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/20 - 101*o**3\/10 - 309*o**2\/5 + 345*o. Factor j(w).\nAnswer: 3*(w - 103)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (-5 - (-1 + -5))) + 493 + -489\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002043 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -9*h + 8*h. Sort 3, -5, h in increasing order.\nAnswer: h, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83497 + 180578. Suppose -2*d + f = -7*d + r, 5*d + 264075 = -4*r. Is (-4)\/(-1)*d\/(-60) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -698 times 411455\nAnswer: -287195590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q. Let m be i(1). Let h = m - -1. Let l(f) = 0 - 2 + f - 2*f**h + 3. Give l(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-40)\/10 + 22\/6). Let m(q) be the third derivative of 0 + 1\/8*q**4 + 0*q + 1\/6*q**p - 14*q**2. What is m(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174.000147 + -174. What is w rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 3)*(-3*y + 6*y + 0*y) + 6*y + 0*y - 4*y + 10*y + 5*y + 3*y + (1 + 0 + 1)*(-3*y + y + 47*y) to r*y + w and give r.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78 and -3?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 4*y - 7. Let v be f(6). Suppose -9 = -v*l + 1. What is the lowest common multiple of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126790839 divided by 967869.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 25118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, -2\/67, 599506?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*p = -197 + 2173. Solve 2*q - p = -f, 4*q + 4 = -f + 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22169 - -22228.978. Let r = -60 + i. Let z = -1.042 - r. Round z to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/9, 7 in descending order.\nAnswer: 7, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - c - 3*c + 49 = 0, -3*z + 5*c + 40 = 0. Suppose 6*f = -f - 28. Let q be (-4)\/1*14\/f. Is z at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -625 by -4.\nAnswer: 625\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/2 - -22 - 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -81, -5 in descending order.\nAnswer: -5, -20, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 6:43 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = -4. Suppose -2*q - 18 = -4*q. Suppose -3*w = -q - t. Solve -4*z = 4*c - 26 - 10, -21 = -c - w*z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 9) + 0 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1010210?\nAnswer: -1010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16965 to three decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvxfoooojfoofooffvoo. Give prob of picking 1 x and 1 o.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 732 + 545 + 2*l - 343*l**2 - 2718 + 759 wrt l?\nAnswer: -686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**2\/3 + 20*h\/3 - 25\/3 = 0. Calculate h.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + b - b + (-5 + 3 + 1)*(2*b - 3 + 3) - b + 5*b - 5*b + b - 3*b + 4*b + (-b + 4*b + 12*b)*(1 - 4 + 4) - 3*b + 2*b + 0*b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/11 (b) 213 (c) 17\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2178314\nAnswer: 1\/2178314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u - 44 = -5*u. Let i be (-4)\/8*-3*-3*u. Calculate the highest common factor of i and 576.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24851 - -24895. Which is greater: j or 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 0*w - 1317*q - 79 + 4 = -1322*q, 70*w = 2*q - 386 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**2 + 5*g - 1. Let l(n) = -6*n**2 + 8*n - 2. Let q be -2 + (0 - -7) - -3. Let m(y) = -y**2 - 2*y - 2. Let k be m(-3). Determine k*l(z) + q*b(z).\nAnswer: -2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 5 = -205. Suppose p - 9 = -3*y, -y = -5*y + p + 12. What is the remainder when w is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i**2 + 143*i + 4. Let h(l) = 10*l**2 + 216*l + 6. What is 5*h(r) - 7*s(r)?\nAnswer: r**2 + 79*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -627*t**2 - t + 5625.\nAnswer: -1254*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 1 = 7*v. Suppose f = 2*q - 9, 7*q = 4*q - 4*f + 8. Let r = v + q. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*t - 341*t - 195 + 195 - 238*t**2.\nAnswer: -238*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151 - -155. Solve y*o + 5 + 11 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 + 23 - 9*c)*(-17*c + 8*c - 19*c)*(-2*c**2 - 3 + 3) in the form m + h*c + y*c**2 + j*c**3 + g*c**4 and give g.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a + 13. What is the units digit of t(-23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 7*z + 4. Let v be q(-7). What is the derivative of -p - 7 + v + 5*p wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*v + 16*v - 29*v.\nAnswer: -53*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5\/9 - 262*z**4\/3 + 5564*z**3\/9 - 14360*z**2\/9 + 1776*z - 6400\/9 = 0.\nAnswer: -400, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 w, and 2 q when four letters picked without replacement from {p: 1, x: 1, i: 1, b: 5, q: 3, w: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = v + 17, 1023*j = 1027*j - 5*v - 22 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-56)\/(3\/(-2 - 4)))\/1. Let v = 19 - 5. Calculate the greatest common factor of v and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 6*h + 90. Suppose 2*w = 5*o + 84, 0 = w - 2*o - 38 - 2. Calculate the remainder when v(0) is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131 + 92. Let z be (-4)\/24*g*2. Solve c - 1 = 0, -z = -w - 4*c - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeqesesqsqvtqc. Give prob of picking 1 c and 1 e.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3670*m. Let i(b) = -9580*b. Determine i(p(u)).\nAnswer: -35158600*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1200 + 1204. Let f(x) = -6 + 7*x - 11*x + 7*x. Let k(v) = -2*v + 5. What is o*k(m) + 3*f(m)?\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 383269 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(425)*-1*-1 + -4 + (sqrt(425) - (-5*(sqrt(425) + -1) + sqrt(425))) + 1*sqrt(425) + 3)*2)**2.\nAnswer: -1960*sqrt(17) + 83496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1250, 2494, 3738, 4982, 6226?\nAnswer: 7470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 1:21 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 34*j - 68. What are the prime factors of n(30)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1 = 11. Suppose 380 = 5*l - 2*i, -l = l - z*i - 141. Calculate the highest common divisor of l and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 120 - 195*h + 41 + 128 - 138 + 270 - 2*h**2 wrt h.\nAnswer: -4*h - 195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161100 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (2835\/14)\/(-15) - -4.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7 - 8 + 9*s - 13 - s**2. Let i be z(8). Let m(k) = 6*k**2 + 12*k + 5. Let y(c) = -5*c**2 - 11*c - 5. Let x(j) = -4*m(j) - 5*y(j). Give x(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = 56. Let j be 1\/(-3)*(16 - h). What is the third biggest value in 1\/4, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 753 - 504. Let v = t + -105. Suppose -2*w + 4*n = -48, 5*w - n = 3*n + v. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 6340*n**3 + 69 - 1.\nAnswer: 6340*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(132)\/(sqrt(72)\/sqrt(6)) - sqrt(11) - (sqrt(176) + 1)))**2*4.\nAnswer: 512*sqrt(11) + 11328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 - z - 2. Let w be a(-2). Let o be 5\/40 - (-6254)\/w. Suppose -57 = 2*s - o. What are the prime factors of s?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*a - 23*a**2 + 6*a**2 + 32*a - 18*a to m + y*a + v*a**2 and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(4\/7))\/(m**15*m))**(-9\/4))**(-16\/9) assuming m is positive.\nAnswer: m**(-436\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 63 = -13*i. Calculate the smallest common multiple of i and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/16 - 453\/12. Let s = h - -38. Are s and -4\/95 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6646185 is divided by 67133.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p*t**2 - 581*p*t - p - 21077*t**2 - 2 with respect to p.\nAnswer: 3*t**2 - 581*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 2*u**2 + 3*u - 1. Let l(t) = -25*t**3 - t + 1. Determine l(z) + q(z).\nAnswer: -23*z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8806, -17610, -26414, -35218, -44022, -52826?\n\"Answer: -8804*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -275 - -542. What are the prime factors of y?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207595 - -0.45?\nAnswer: 1207595.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 209, 333, 457, 581, 705?\n\"Answer: 124*h + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*c**5 + 2*c**3 - 7*c - 1 wrt c?\nAnswer: 1420*c**3 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*n**5 + 14702*n**2 - 26477*n - 21 wrt n.\nAnswer: -780*n**3 + 29404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3783 and 762.\nAnswer: -3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 0 - 5\/2*g**2 + 3*g - g**3 - 1\/4*g**4. Let s(i) = -5*i**2 - 11*i - 9. Let m = 4 - 8. What is m*s(p) + 7*n(p)?\nAnswer: -p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2016\/(-80))\/(-18) + (5552\/(-20))\/4?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*t - 20, 0*y + 14 = y + 3*t. Solve 2*j = -0 + y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3629*x = 483*x + 2708*x + 2854*x + 1412404 for x.\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + o = -270, 0 = -k + 2*o - 0*o + 266. Suppose 0*v - k = v. What are the prime factors of 5\/(-30)*3*v?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2584 divided by -8\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 125 + 89. Let d be -1 - (-6 - -3 - 1). Put d, x, 5 in descending order.\nAnswer: 5, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = w + 3*n + 4, -4*n = w - 11. Suppose -4*l + 3*v = -2*v - 32, 3*v = -l - 9. Let h(a) = -a**3 + 2*a**2 + 3*a + 1. Let b be h(l). Sort 3, w, b.\nAnswer: w, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from maacphpem. Give prob of sequence cphp.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5892 + -3819. List the prime factors of k.\nAnswer: 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568*p + 295*p = 379*p - 39120 for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28483956 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 219.17526 + -1.29346. Let m = s + -218. What is m rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/19924 and 43\/1106?\nAnswer: 11017972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24153865*f**3*k + 4*f**2*k + 802*f**2 - 4*f*k - 3*f + 11*k + 1 wrt f.\nAnswer: -144923190*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/sqrt(7)*4 + sqrt(57)\/(sqrt(24)\/sqrt(8)) + (-4*((sqrt(1539) + 1 - sqrt(1539)) + (sqrt(19) + sqrt(76)\/sqrt(4))*-4))**2.\nAnswer: -251*sqrt(19) + 19472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 9*t**2 - 17*t. Give x(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 46*k**2 + 141*k + 2618. Give n(41).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23.201 - -23.31. Let t = 10.987 - 21.278. Let d = c - t. What is d rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1196\/10 + -7)*(1 - 6). Let a = j - -564. Sort 5, a, 2, 0 in descending order.\nAnswer: 5, 2, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - v + 3 = -12, 3*f - 12 = -v. Let z be f*(-16)\/(-18) + 3\/9. Factor 0*g**2 + 0 + 0*g - 1\/4*g**z + 1\/4*g**4.\nAnswer: g**3*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 35\/2, 0.4, -0.1, 0?\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/(r\/r**(-3\/7)))**(3\/11))**26*((r**(-2))**17)**16 assuming r is positive.\nAnswer: r**(-3730\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4)\/(5\/60*3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001101100100010 + 10011?\nAnswer: 11001101100110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3158 + -586234.\nAnswer: -586232.6842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(20\/100*(2 - 1)). Solve -2 = 2*s + z*t, -5*t + 5 = 23*s - 28*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = j - 2, 7*j - 12*j = -2*r + 24 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 - 14 + 16 + 3*p**3 + 0*p**3 as w + s*p**3 + r*p + x*p**2 + q*p**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 2*s + 26, -4*u + 0*u + 23 = s. Let y be -1*(-15 + (-1 - -3)). Solve 2*w = -u*a - 1 + 17, y = -a + 5*w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 150082, 151137, 152896, 155359?\n\"Answer: 352*p**2 - p + 149731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -312*k**2 + 352*k - 268954 wrt k?\nAnswer: -624*k + 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -503*d - 199. Give z(0).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**2 + 4098*v - 12267 = 0. What is v?\nAnswer: 3, 1363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 16*v**2 - 11*v + 13. Let z(c) = 11*c**2 - 7*c + 8. Give 5*q(g) - 8*z(g).\nAnswer: -8*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2018783182.\nAnswer: 2, 13, 77645507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242922 is divided by 2165.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -11. Suppose -y = 5*g - 8*g. Find the third derivative of -5*u**3 - g*u**2 - 2*u**2 + 0*u**3 wrt u.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-3))**(-44)*(t*t\/((t**(-4)*t*t)\/t)*t)\/t*t*t**(-5) assuming t is positive.\nAnswer: t**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6 + 16\/(-96) + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526*h + h**2 - 1122*h - 21*h**2.\nAnswer: -20*h**2 - 1648*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 - 6 + 3 + 24)*(0*k + 2*k + k) in the form z*k + w and give z.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -114, -163, -212, -261?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 27*h**2 + h + 7. Let k(m) = -24*m**2 - m - 6. Calculate 2*k(a) + 3*v(a).\nAnswer: 33*a**2 + a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + (sqrt(27) + sqrt(27) + -2 + sqrt(27))*-3 + 0)**2.\nAnswer: 162*sqrt(3) + 2196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64917519 plus -384583?\nAnswer: 64532936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*t + 0*t**3 + 1\/8*t**4 + 0 - 7\/8*t**2.\nAnswer: t*(t - 3)*(t + 1)*(t + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58611 is divided by 14042?\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1547*w**3 - w + 1. Let u be q(1). Suppose 3*s = -3*x + 909, -5*s = x - 4*x - u. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**3 - 4932*c**2 + 19664*c = 0.\nAnswer: 0, 4, 1229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 356123\nAnswer: -7\/356123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 14*n + 39 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let z(f) = 173*f. Calculate d(z(i)).\nAnswer: -173*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104667 or -104576?\nAnswer: -104667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202, 406, 610, 814?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5861832 + -3911414. Let b be (-2)\/(-6) + v\/(-114168). Let n = b - -2\/4757. Find the common denominator of 55\/9 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7633 - -1259446\/165. Let j(g) be the third derivative of -a*g**5 + 3\/44*g**4 + 24*g**2 + 0*g + 0 + 5\/33*g**3. Determine l, given that j(l) = 0.\nAnswer: -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j - 29. Let d be w(5). Suppose -5*c - 5*v + 11 = 1, 4*c - d = -2*v. Sort -5, 3, 5, c in decreasing order.\nAnswer: 5, 3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (120\/45)\/((-2)\/(-3)). Let k be (-10 + 32)*2\/o. Solve 4*t - 1 = k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**2 + 3*l + 6. What is the remainder when 81 is divided by c(-3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 26*s - 44. Determine f(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d, 5 = p - d - 4*d. Solve -8 = 4*k + 2*s - 26, 3*s + 6 = p*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-560)\/(-45)*3438\/764\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*c + 3 = -326*c + h, 9 = 5*c + 3*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 38784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*t)*(-3 - 1 - 3)*(-5*t + 2*t + 0*t)*(11 - 11 - 8*t) + (5 - 2*t - 5)*(-t + 2*t**2 + t) - 4*t**3 + 2*t**3 + t**3 + 602*t - 602*t + 14*t**3.\nAnswer: -327*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, p: 1, d: 13}. Give prob of picking 1 l and 1 d.\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22386593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - b**2)*(8*b - 8*b + 2*b**3) - b**5 + 2*b**4 - 2*b**4 + (3*b**5 - 5*b**5 - b**5)*(2 + 19 - 1).\nAnswer: -63*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6033, -5993, -5913, -5769, -5537, -5193?\nAnswer: -4713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*o*s**2 - 11*o*s - 559516*o - s**2 + 128*s - 3 wrt s.\nAnswer: -140*o*s - 11*o - 2*s + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*12\/(-8)*15\/135*-2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*k + 17 = -4*k, 7 = 4*l + k. Solve l*p + 4 - 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*s + 0*s - 222 = 0, 2*u + 4*s = 96. Let b = u + -44. Solve 0 = -2*r - 3*r + b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 6*l**2 - 4*l - 5. Let p be n(5). Suppose 2*u + 2*u - 100 = p. Suppose 0 = 3*j + 2*j - u. Solve 3*w + j*q + 17 = 0, 3*w - 4*q = -5 - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 34*i - 470. Let l be d(13). Suppose 0 = -u - 2*u - 84. Is u >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113 + -109. Solve o - 4*o - 6 = 2*q, -2*q - 2*o - x = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 3:39 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 1 - 43. Solve 3*c - 7 = c + 3*o, 3*o + t = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y + 68. Let x be k(15). Let o be x + (-2)\/(-1) + 10. Solve 3*r = o*r - 3*m, 2*m = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -20*q**2 + 5*q - 5. Suppose 24*k = -h + 27*k - 7, 0 = 5*h + 2*k - 33. Let t(w) = 21*w**2 - 6*w + 6. What is h*t(m) + 6*z(m)?\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 899 and 727987.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(448)).\nAnswer: -32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 2 + 8\/3*k**3 - 4*k - 1\/4*k**4 - 5\/2*k**2. Is i(7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3816534*k - 3816544. What is f(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2. Let l = 3058 + -3057. Let a(o) = o**2 - 1. What is l*i(q) - 4*a(q)?\nAnswer: -q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*v = -47*v + 3*z + 9, 19 = 5*v - z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Let c(r) = -5*r**3 + r**2 - r + 1. Let i be c(s). Let a = i + 7. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8117 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86227 - -86229. Let w = -147 + 84. Let l(q) = -9*q**3 - 2*q**2 + 2*q + 2. Let s(m) = -280*m**3 - 63*m**2 + 63*m + 63. Calculate r*s(k) + w*l(k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 95341 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fffffffddddfdfffff?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 639 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 782736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60*(-3 - 35\/(-10)). Let w = 27 - -9. Suppose -n = -2*p + w. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -28*b**2. Let w(h) = -2*h**2 - 1731*h + 1731*h. Calculate a(w(j)).\nAnswer: -112*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 168068 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/3*(-30 - -27)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 255, 281, 307, 333?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4364229965 to the power of 1\/2, to the nearest integer?\nAnswer: 66062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 60883 divided by 569\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.8 + 19. Which is the second smallest value? (a) -1 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/101? (a) 0.1 (b) 0.131 (c) 6\/13 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + i - 1. Let l(m) = 7*m**3 + 5*m**2 - 3*m + 7. Let o(f) = l(f) + 6*s(f). What is o(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18598662 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*v**3 + 3*h*v**2 - 605*h + 37*v**3 + 62703*v**2 + 296*v - 23 wrt v.\nAnswer: -12*h*v + 6*h + 222*v + 125406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 10 = 5*w - 3*h, -2*w - 5 = h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 + -127. Suppose 12 = -10*b + i*b, -5*t + 320 = 5*b. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h. Let d(j) = 20*j + 23. Let n(y) = -d(y) + 5*g(y). Does 35 divide n(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**5\/270 + i**4\/54 + i**3\/27 + 12*i**2. Factor j(m).\nAnswer: 2*(m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*w = -60*w + 1098. Solve -z + 179 - w = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j + 2*i - 28 = 22*j, 4*i + 52 = 17*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 3*l**2 - 2*l - 5. Let x be g(4). Let s(h) = 0*h - x*h - 4*h - 5 + h**2. List the prime factors of s(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 181, 192, 207?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.285 + 5.6. Let z = d + 1.715. What is z rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2845, 2862, 2889, 2926, 2973, 3030?\nAnswer: 3097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = u, -u = -2*u + 2*n. Let c be -1*(u + 5\/3). What is the biggest value in -3, -2\/15, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5*(sqrt(833) + sqrt(833) + -1*(sqrt(833) + 1) + sqrt(833)) - -6*-5*(sqrt(833) + -1))*-4)**2.\nAnswer: -7840000*sqrt(17) + 533610000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1643326835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2360 + -5?\nAnswer: -2365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*j**2 + 90*j**2 - 340*j**2 - 107*j**2)*(4*j**2 - 6*j**2 + 0*j**2).\nAnswer: 838*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/57 and 39?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5390 and 601230.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 11. Suppose 5*w + 2*m + 2 - z = 0, 4*w = 4*m + 8. Let f(i) = 3*i + 4. Let t be f(-3). Put -4, t, w in ascending order.\nAnswer: t, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1246612248619 + -0.5\nAnswer: -1246612248619.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 36 (c) -3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccsccsccc.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7 + 5 - 1233*m**3.\nAnswer: -1233*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17.68719 milligrams?\nAnswer: 0.00001768719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = 0, -2*k + 16 = l + 3*l. Suppose k*a = a + 15. Solve a + 0 = -5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116*a**2*r**2 + 3*a**2*r - 15*a**2 - 6027*a*r - r**2 + 143 wrt a?\nAnswer: 232*r**2 + 6*r - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2346 is divided by 515.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 2970919.\nAnswer: 1485459.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0312 - -0.02. Let s = -0.3518 + m. Let l = s + 0.073. What is l rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1790, -2067, -2336, -2597?\n\"Answer: 4*n**2 - 289*n - 1505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of s**4 - 6407000*s**2 + 3861717?\nAnswer: 4*s**3 - 12814000*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38 and 0.01?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 709 + -706. Suppose -2*p - f*x = -265, 2*x - x - 387 = -3*p. What is the smallest common multiple of p and 56?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 89\/9 (b) 8 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 12*x - 6. Solve 0 = -5*u - 3*t + 23, 2*u - 10 = -x*t - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*n + 6, 134 = 3*r + 5*n + 143. Let f = -0.2 + 0.3. What is the closest to 0 in -4, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/21 and 17\/244519068.\nAnswer: 1711633476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(65\/(-60)))\/((-1602)\/8544)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2031708 and 131\/1015854?\nAnswer: 2031708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**6)*v)\/v**(-1\/3)*(v**1\/v*v)\/v*v**(-12) assuming v is positive.\nAnswer: v**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 22101630962228\nAnswer: -22101630962227.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142.245 + -167.88. What is z rounded to 1 dp?\nAnswer: -25.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -287611?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 3. Determine k(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5639*m**5*w + 428*m**2*w - 57*m*w - 15876*w wrt m.\nAnswer: 112780*m**3*w + 856*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/8 - 259803*y\/4 + 1558791\/8.\nAnswer: 3*(y - 173199)*(y - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5*g, 5*d = 41*g - 40*g + 78. Calculate the greatest common factor of d and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138084020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, -3, -2\/11, 1, 1\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 + 2. Suppose -l - 4*l - 138 = -z, 9 = 3*z. Let h(d) = -51*d**2 - 27. Let t be 2\/4 - (-15)\/(-6). Calculate l*o(r) + t*h(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 11 + 59 = 0. Solve -l*x - 17 + 1 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 1112, 4014, 9668, 18992, 32904?\nAnswer: 52322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -13. Suppose -y = -x - 3*x. Suppose -x = -j + 2. Solve -j*u = -0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 + 3. Let b be i(-3). Let k = b + -32. Suppose -3*h - 8 = -5*h. What is the least common multiple of h and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 210, 4, -49339, -1 in descending order.\nAnswer: 210, 4, -1, -4, -49339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 85*g**2 + 29*g + 3471. Give q(-85).\nAnswer: 1006","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c*m**2*x - c*m**2 + c*m*x**3 - c*x**3 + 37*x**3 wrt m?\nAnswer: 4*c*m*x - 2*c*m + c*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**3 + 48*b**2 - b - 129. Calculate x(16).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 3*o - 1 - 2*o + (1 - 1 - 2)*(3*o + 2 - 2).\nAnswer: -10*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 36. Suppose -1 = -2*s + 1, s + 383 = a*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.1 - 33.0887. What is n rounded to 4 dps?\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 7*h = -68. Let g = 164 - h. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, q: 4, f: 6, v: 2, t: 2}. What is prob of sequence qgt?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -109*p + 17988. Calculate h(165).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(5)*2 + sqrt(5)) - (5*(sqrt(7) + 0))**2)*1.\nAnswer: -175 + sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/35350255 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) + 2\/4. Suppose 205 = -3*a + 208. What is the second biggest value in g, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46440 and 18576.\nAnswer: 92880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + sqrt(95)\/(sqrt(50)\/(sqrt(20)\/sqrt(2)))))**2.\nAnswer: -360*sqrt(19) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 95784.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -594 by 1.\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**4 + 6*v**4 - 7*v**4 - v**3 - v**4 + 13*v**2 - 3*v + 2*v**3 to the form i + m*v + l*v**4 + y*v**2 + k*v**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 4. Calculate the remainder when 89 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 164 - 3*v + 199)*(v + v**2 - v)*(1 - 6*v**2 - 1).\nAnswer: 18*v**5 - 210*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + i**3 + 0 - 6*i**3.\nAnswer: -5*i**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 4*l**2 - 3. Let p(t) = -10*t**3 + 21*t**2 + 16. Determine -11*h(z) - 2*p(z).\nAnswer: -2*z**3 + 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*((q\/(q*q\/(q\/q**1)*q*q))\/q)\/q*q))**(-4\/7)*q**(-8)*q**1 assuming q is positive.\nAnswer: q**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + -5. Let o = h - -78. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 13*r + 12. Let k be s(5). Let h = -1765\/2 + 917. Calculate the common denominator of (-39)\/(-52) + (-205)\/k and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -207 + 211. What is the biggest value in 36, x, 3\/2, -5?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d + 1. Suppose 0 = 5*f + 2*u + 25, u + 6 + 11 = -4*f. Let r(x) = -5*x + 1. Let n(y) = f*i(y) + 4*r(y). Differentiate n(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22002413 (base 5) to base 14\nAnswer: 4c666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 76)\/(-7) + (-1245)\/(-83)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10330404 is divided by 269?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4\/16 + ((-15)\/4)\/(-5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 + ((-190)\/38)\/(2 + -1). Solve o*y - 2*y - 8 = -3*a, 12 = 3*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 708, 2367, 5592, 10905, 18828?\nAnswer: 29883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -52?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -3 + 3)\/(-1). Let j = 22 + r. What is the highest common factor of 16 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 - 5355*u**2 + 5358*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*b + 18 = 9*o, 2*b - 36 = -5*o. Calculate the remainder when 35 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**5 + i**5 + 0*i**5 + (-i**5 - i**5 + 4*i**5)*(-2 + 3 - 3) + 0*i**5 - i**5 + 0*i**5.\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 14*n**2 + 41*n + 15. Determine y(11).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -77357, -154749, -232181, -309653, -387165, -464717?\n\"Answer: -20*w**2 - 77332*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*f - 0, 0 = -2*j + 5*f + 9. Suppose j*b = 5*a + 11*b - 280, -4*a + 208 = -4*b. What is the greatest common divisor of 38 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 8:09 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(294)\/sqrt(7) - sqrt(42) - (sqrt(168)\/sqrt(144) - sqrt(42)))\/(sqrt(18)\/sqrt(27) + sqrt(216)*-4 + sqrt(6)).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*r + 8, -2*w - 6 + 2 = r. What is the tens digit of w + 3\/(9\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {c: 1, o: 3, e: 1, f: 3, n: 5, d: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -892 (base 13) to base 14.\nAnswer: -771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -821223804 divided by -6\nAnswer: 136870634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4229740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 88 = w + 143, 3*o - 33 = w. Solve 2*q - 3*g = o, -2*q - 3*g = -7 + 26 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 2, 1, -3\/4, -0.36, 82\/539?\nAnswer: 82\/539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*sqrt(77)\/(sqrt(7) + sqrt(70)\/sqrt(250)).\nAnswer: -5*sqrt(11)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.4812 to 1 dp.\nAnswer: -62.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2190345.6 + 2190709.60342. Let p = n + -364. Round p to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 12 + (-44 - (-15 + 3)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -449 - -251. Let l = x - -1786\/9. What is the second smallest value in -4, -2\/15, l?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/5 - 58*g**2\/5 + 57*g\/5 = 0. What is g?\nAnswer: 0, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 37*q**3 - 3*q**2 + 109*q + 74.\nAnswer: (q - 37)*(q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9582\/(-78) - -4*2*(-131)\/6812.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c7 (base 15) to base 10.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 28.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -195 - -224. Suppose -4*n - 1 = -f. What is the highest common divisor of n and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 10a?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 864\/(-40)*290\/116.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 583.2271 millimeters to centimeters.\nAnswer: 58.32271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 10*a + 13. Let s be c(-11). Suppose -s*r = -7*r + 20. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19844, -19866, -19892, -19916, -19932?\nAnswer: -19934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56149988.\nAnswer: 2, 2579, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2604 divided by -372.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 u when three letters picked without replacement from uufu.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -19 - ((-900)\/20 + 23). Solve -20\/17 + 38\/17*c - 16\/17*c**2 - 2\/17*c**f = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -881757 + 881774.99946. Let h = 18 - k. What is h rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -190904 and 8.\nAnswer: -190896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from {y: 2, l: 14, q: 1}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 29. Let y be (-42)\/9 - 3\/9. Which is the third smallest value? (a) -0.117 (b) h (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(36)\/sqrt(3)*5).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -9 + 2*a - 1\/2*a**2. Give n(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*y**4 - 11264*y**3 - 1166173*y**2.\nAnswer: 144*y - 67584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o = 17*o + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00080919 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/24 - 5\/(-2). Let k(w) = 22*w**t + 21*w**2 - 39*w**2. Let g(l) = 28*l**2. What is g(k(m))?\nAnswer: 448*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 300 = 5*q, v = 2*v. Let h = q + -52. Suppose 2*z + 4 = h*m - 5*m, -5*m - 2*z = 4. Solve 3*x + 4*p = -5 + 2, m = -3*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/15)\/d*((d**(1\/7)*d*d)\/d)\/d)**(-25))**49 assuming d is positive.\nAnswer: d**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1395, 2799, 4203, 5607?\nAnswer: 7011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 650 = -680. Suppose 0 = -2*j - 4*i + z, 2*j + 2*i - 274 = -0*i. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) -21973\/3 (c) -26\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 70*v - 206. What is m(-66)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -2836\/313?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 347*n**2 + 3*n + 2. Let s(k) = 3*k. Give h(v) - s(v).\nAnswer: 347*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 4*t - 474 = 0, 2000868 = -3*w - t + 2000977 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37606*q - 37622*q + 464 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 2, 7031*z - 7036*z - 35 = 12*u - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*c + 1505 - 222 = 0, -5*k + 1271 = -2*c. Let o be (-30)\/k - 873\/(-51). Solve o = 4*a - 3*u + 1, 5 = a - u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2226 (base 7) to base 10\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-242)*22)\/(12\/(-15))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747529873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {j: 2, v: 7, c: 4}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1999*0.3\nAnswer: 599.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6088 or -6087?\nAnswer: -6087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x + 1. Let h(r) = -4*r**2 - 72*r + 18. Let k(u) = 4*h(u) - 72*s(u). Let m(b) = 2*b**2. Give m(k(g)).\nAnswer: 512*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. What is the second derivative of -2*r + q*r + r**3 + 2*r wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 + 55*g**2 + 129*g**2.\nAnswer: 178*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -750 times -1?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46726, -186808, -420330, -747286, -1167670, -1681476, -2288698?\nAnswer: -2989330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**5\/12 - 25*t**4\/24 + 10*t**3\/3 - 4*t**2 - t. Factor o(a).\nAnswer: 5*(a - 4)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a kilogram in grams?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 134166 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286 = 5*p - 346 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/16)\/(5\/(-40))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0*v**2 + 0*v**2)*(-2*v - 47 + 21 + 24).\nAnswer: 4*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-205)\/(-164) + 13\/12?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((8 - 4) + -15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 5*r + 23, -22508*r - 34 = 5*z - 22516*r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 5\/6 (c) -207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 10*z**3 - 2*z**2 + 3*z + 2. Let w(a) = 50*a**3 - 11*a**2 + 16*a + 11. Let x(m) = 11*o(m) - 2*w(m). What is the second derivative of x(n) wrt n?\nAnswer: 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5378 by 50.\nAnswer: -2689\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7220 and 7220.\nAnswer: 7220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 9)*(-v + v + v**2)*(v**2 - 3 + 3).\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 264851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(72)\/sqrt(4) + -3 - (2 + sqrt(6)\/sqrt(3))*2).\nAnswer: -7 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -24*(-22)\/176 + 1201 and 336?\nAnswer: 14448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9694809 = 142*q - 18631777. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - c**3 - 2*c**3 + 2*c**3 + (-c + 4 - 4)*(-4*c**2 + 2*c**2 + 0*c**2) + 0*c + c**3 + 0*c + 427*c**3 - 1099*c**2 + 4866*c + 2 - 4865*c + 1100*c**2.\nAnswer: 429*c**3 + c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 2*s + s + 2 + 0*s**2. Let l be w(-3). Find the third derivative of -2*a**4 - 2*a**4 + l*a**4 + a**2 wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 16*m + 5. What is d(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167743?\nAnswer: 43, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2148524 - 24?\nAnswer: -2148548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 5)*168\/(-48)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-6))\/(20\/60). Suppose 3*w - a = -u - 0, -4*u + 23 = -3*w. What is the nearest to -0.1 in u, 0.4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - b864?\nAnswer: -b861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0*k**5 + 0*k**7 + 1\/12*k**4 - 5*k + 5\/56*k**8 + 0*k**2 + 0 + 0*k**3 + 0*k**6. What is the third derivative of q(t) wrt t?\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + k - 2*k)*(1 + 0 - 2)*(-7*k - 1 - k**2 + 7*k).\nAnswer: k**3 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-8) - (953340\/(-48) - 10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23628.5431 rounded to the nearest ten?\nAnswer: 23630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14328210*n - 26988131 wrt n.\nAnswer: 14328210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6786153?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -165 in ascending order.\nAnswer: -165, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 1, 1\/3, 0, 12.2, -56, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 348448062?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 0 + (2 - (2 + -7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + 484. What is the remainder when p is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 836.5147 nanometers to millimeters.\nAnswer: 0.0008365147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2.4 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2661351?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -9*g**4 + 11*g**3 + g**2 - 11. Let s(a) = -5*a**4 + 6*a**3 - 6. Let n(v) = -6*k(v) + 11*s(v). Find the third derivative of n(r) wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*j + 2*u - 40, 0 = 5*j + 3*u - 45. Suppose j*g + 7 = -11. Let t = -19 + 24. Put -2\/3, g, t, 1 in decreasing order.\nAnswer: t, 1, -2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {s: 2, k: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvvv when four letters picked without replacement from vvxvxxxvxxxvv?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -323422 + 333?\nAnswer: -323034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/518880 and -133\/778320?\nAnswer: 1556640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**4\/4 - 2*x**3\/3 + 7*x**2\/2 + 6*x - 1. Calculate u(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 992765, 992708, 992619, 992498, 992345, 992160?\n\"Answer: -16*d**2 - 9*d + 992790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 40 - 48. Solve t + 3 = -h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*t + 23, 2*t + 3 = 5*g - 31. Let y(r) = 9*r**2 + 1. Calculate the least common multiple of y(1) and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3302*q + 8. Give a(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 3:08 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1823149278 to the power of 1\/3, to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/4 of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 18*d.\nAnswer: -3*d*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -4\/5 (c) 194 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/7)\/(30\/5180))\/((-31)\/(1395\/30))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + 3*((2 + 5 + sqrt(539))**2 + -1).\nAnswer: 294*sqrt(11) + 1762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24137, 23657, 23177?\nAnswer: 22697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 - 10*b - 7. Suppose -n + 3*n = -34. Let t(u) = -14*u**2 + 29*u + 20. Let p(f) = n*s(f) - 6*t(f). What is p(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -170*m**3 - 12578*m**2 + 148*m - 65. What is i(-74)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 10*k**2 - 25*k - 21. Give q(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/4266 and 59\/55458.\nAnswer: 55458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 37 + 98. Suppose n + 0*n - 7 = 0. Let c = n + 0. Calculate the remainder when a is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/22 - (-96)\/198. Solve -4\/3*m**2 - 2\/3*m + 0 + 4\/3*m**4 + 0*m**3 + u*m**5 = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y - 8. Let i be n(4). Suppose 7 - i = -3*u. List the prime factors of (6\/4)\/(u\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/o**(2\/11))\/o*o\/o**(-4\/9))\/(o**(-5\/7)\/(o\/(o**(-18)\/o*o))))**(-11) assuming o is positive.\nAnswer: o**(-15230\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 696 by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3))**5*(y*y*y**9*y)\/y*y*y**9*y\/y**(-1\/5)*y*y**1\/y*(y\/(y*y**(2\/13)*y)*y)\/(y*y*y**(1\/10)*y) assuming y is positive.\nAnswer: y**(8429\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = q + 190, -6*h + h + 4*q - 311 = 0. Let j be (41 - -2)*(-2 - -1). Let u = j - h. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.56 - 0.16. Sort -0.1, l, -0.07 in descending order.\nAnswer: l, -0.07, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -478699, -478692, -478679, -478660?\n\"Answer: 3*y**2 - 2*y - 478700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 818*o + 1471 + 13253 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -y - 2*y. Let d be (9\/(-3) + 2)*y. Let x = -4 + d. Calculate the smallest common multiple of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16873.2283 to the nearest one hundred.\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*p - 11*p + 40. Let z(o) = -o - 13. Let n be z(-11). Sort 3, p, n.\nAnswer: p, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Let a = h + 2. Suppose -4*x = x - a. Solve 3*g = -c - x - 3, -4*g = c + 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 bigger than 973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*c + 3*l, 5*c - l = -0*c - 14. Let d = c - -11. Solve 0 = -2*m + 3 - d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**(-5)))\/(d**(-2)\/d))\/(d\/d**(-4\/9)*d*d*d*d\/d**(-1\/3)))**(-1) assuming d is positive.\nAnswer: d**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948859947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3586095 or 3586169?\nAnswer: 3586095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38080.2 months in years?\nAnswer: 3173.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = 20*c - 11*c - 520. What is the highest common divisor of c and 2780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*q - 35*q - 9. Suppose -5*p + 13 = -t, q*p - 5 - 12 = -4*t. Suppose 4 + 2 = 2*u. Solve 5*y - p*f + 14 = 0, f = -u*y + 5*y + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -492, -485, -474, -459?\n\"Answer: 2*h**2 + h - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m - 96 = -41*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-85 - -81) + 30\/9. Let y = 17 - 13. Sort y, -6\/7, r in descending order.\nAnswer: y, r, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-1 - -1*2). Let d = -487 + 491. What is n in -n**m - 4*n + 5*n**3 - 4*n**2 + d*n**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from aaaaeeeaaaaaaaa.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 18 = 5*x, 4*j - 12 = -94*x + 96*x. Let d(s) = -s + 10. Let w be d(9). Let f be 21*(3\/(-21) + w). What is the highest common divisor of x and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33591 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/69300 and -109\/3180.\nAnswer: 3672900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c = 300 - 34. What is the remainder when 219 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 934581.3ml?\nAnswer: 934.5813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (6 + -14 + 4 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1315 + -0.0685. Let x = -1.05 - -0.75. Let j be ((-2)\/(-46))\/(2\/4). Which is the nearest to -0.1? (a) j (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {o: 3, f: 4, q: 1, u: 12}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5642 (base 9) to base 3\nAnswer: 12201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005611048 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-18)*1665\/(-370))\/((6\/1)\/246)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.2 - -4.1. Let p = 115 + -155. Let x = p - -38. Sort 2\/5, x, s in decreasing order.\nAnswer: 2\/5, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhffhhfhfff. What is prob of sequence fh?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnk when three letters picked without replacement from {n: 3, t: 2, k: 1, l: 4, f: 4}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 8*s**2 - 16*s + 4. Let b be x(4). Determine a, given that a**2 + 30*a - 4*a**2 - b - 4*a**2 - 19*a**2 = 0.\nAnswer: 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 - (8 + 3 + -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -2\/3*h**2 + 5\/54*h**4 - 3 + 6*h - 5\/27*h**3 + 1\/18*h**5 + 1\/135*h**6. Let n(g) = 0. Calculate g.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.2, -1\/3, 39 in decreasing order.\nAnswer: 39, 4.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v - 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**6 + 46*m**5*r + m**2 + m*r + 3*m wrt m.\nAnswer: -360*m**3 + 2760*m**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00779432652 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from sesnimc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 20. Solve 2*z = -g*k - 2*z - 35, -3*z - 12 = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -3)\/(1\/(-1)). Suppose 5*n - 5 = 0, 2*y = -v*n - 5*n - 5. What are the prime factors of (-14)\/4*(y - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27232 (base 8) to base 2.\nAnswer: 10111010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468*f**2 + 496*f**2 - 1437*f**2 + 477*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 50085959 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99469 is divided by 213?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 4:39 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 40 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2907 - 325 - 304 + 120 + 449 - 1236)*(-16*i + 7*i - 10*i).\nAnswer: 79857*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*a**3 + 7 + 83 - 13 - 77.\nAnswer: -164*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -9. Let h = t + 0.5. What is the closest to -1\/4 in -1\/5, h, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 138593 - 692966\/5. Let a = -3.5 - -3. Sort 0.4, d, -16, a in ascending order.\nAnswer: -16, a, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 180 + -178. Suppose 2*w = 3*y - 19, 0 = -6*y + a*y - 5*w - 13. Solve -4*h + 3 = y*c + 2, 2*c - h = -3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3 + 13 = 0. Suppose -3*p + 0*o + 4*o - 20 = 0, -5*o - 10 = y*p. Let h be (2\/(-4))\/(p\/40). What is the second biggest value in h, -2\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*(sqrt(68) + 0 - sqrt(68)))**2 + 1*((2 + 1 + sqrt(68) - sqrt(68)) + sqrt(68)).\nAnswer: 2*sqrt(17) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/180 and -59\/1051470?\nAnswer: 2102940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9*k**2 - 5*k + 3. Let n(a) = -24*a**2 + 29*a + 11. Let s(u) = 4*u**2 - 5*u - 2. Let v(z) = -6*n(z) - 34*s(z). What is -5*i(p) + 6*v(p)?\nAnswer: 3*p**2 + p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 1. Let b be j(3). Suppose -2*o + b = 3*h, -2*o + 30 = -h - 3*h. Let f be o + (2\/(-1) - 0). Let t(w) = w**3 - 4*w**2 - 7*w + 4. Calculate t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-3)\/(-18))\/((-19)\/(-228)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = k + 2, 5*k - 8 = 3*t - 6. Sort -1, 3, 24, -4, t.\nAnswer: -4, -1, 3, t, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3, -7, 0.02.\nAnswer: -7, 0.02, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lalaaagl. Give prob of picking 3 l.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -945, -1895, -2861, -3849, -4865, -5915, -7005?\nAnswer: -8141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (11 - (-7 + -3)) + -16 - -77.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8550901 is divided by 12268?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301.3 - -301. What is the smallest value in m, -2, -11, 1\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(175)\/(sqrt(1215)\/sqrt(3)))\/((sqrt(500)\/sqrt(10))\/sqrt(10)*-1).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jemj when four letters picked without replacement from {w: 3, e: 1, s: 7, j: 4, m: 4}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 36*h - 13. Is 15 a factor of t(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34568672873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 923 + 1076 - 451 = 36*l for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3318794 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 7*t**2 + 7*t - 2. Let h be c(-8). Let j(a) = -a**3 + 4*a**2 + 12*a + 5. Let i be j(h). Solve 1 = 5*d - d - 5*m, 27 = 3*d + i*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 2\/((-16)\/(-19256)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1599*k - 2178. Let m(c) = -796*c + 1089. Let b(n) = -6*i(n) - 11*m(n). Find the first derivative of b(l) wrt l.\nAnswer: -838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 812479691 to the power of 1\/2, to the nearest integer?\nAnswer: 28504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 181\/60 - (3 - 0). Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1751654698 to the power of 1\/2, to the nearest integer?\nAnswer: 41853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 28015860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**2 - 833264*r - 43395555856 = 0. Calculate r.\nAnswer: -104158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61100 divided by -94.\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 6 + 4\/4. Suppose b*q = 3*q + 142. Is q a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(171) + sqrt(171) - sqrt(171)) + sqrt(171))\/((sqrt(108)\/sqrt(2))\/sqrt(6)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12955480?\nAnswer: 2, 5, 419, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + 26)*6\/18. Let a(u) = u + 3. Let j be a(-3). Suppose -4*l + 8 = -0*l. Solve j = -l*y - 12 + 2, 3*y - d = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 9*r + 3. Let o be c(-9). Solve 10 = -o*l - 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -44, -3, 1580 in ascending order.\nAnswer: -44, -3, -1, 1580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1922706 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/102)\/(3472\/288 + -12)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -4 (c) -1\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2759346?\nAnswer: 2, 3, 17033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 36. Let x be g(7). Suppose f - 12 = x. What is the greatest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2383, -4455, -7163, -10825, -15759, -22283?\nAnswer: -30715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 624 (c) 3.2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -11, 22630.\nAnswer: -14, -11, 22630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 times -35.96?\nAnswer: 2013.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38903892 by -329694.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/6)*v**(-4))**27*v*v*v\/(v**(-1)*v)*v**2*((v**1*v)\/v*v)**(5\/2) assuming v is positive.\nAnswer: v**(-187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 v when three letters picked without replacement from {t: 5, v: 3, c: 4, x: 4}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 463644898 rounded to the nearest 100000?\nAnswer: 463600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - a. Let n(j) = 12*j**2 + 3. Let u(q) = 31*q**2 - q + 9. Let c(i) = -3*n(i) + u(i). Calculate -4*c(b) + 7*w(b).\nAnswer: 6*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 67 + 190. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**5\/5 - 57*l**2 + l. Let n(m) = 8*m. Calculate n(k(w)).\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/(-10))\/((-3)\/15). Let h be 16\/(-2)*(-4 + 2). Suppose 0 = 10*y - 4 - h. Solve -s + y*s - f = 5*g, 5*s + 2*g = 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387525544 to the power of 1\/3, to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**3 - 3*o**2 - 11*o + 35. Is b(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5\/5 - 246*r**4\/5 + 5019*r**3\/5 - 20436*r**2\/5 - 62964*r\/5 = 0.\nAnswer: -2, 0, 9, 22, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14 = -8. Let x = y - 7. Suppose -6 = q - 4*o - 26, 2*o - 98 = -x*q. What is the remainder when 70 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3825 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3022116 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.77581 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 66*y + 368. Calculate the least common multiple of 434 and o(1).\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + h - 14 = -4*h, 4*y - 16 = -h. Suppose -2*m + 1 = -y. What is the second derivative of -2*l + l + l**2 - 2*l**m wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1379\/3434 - -8552951\/20892456. Find the common denominator of -61\/10 and l.\nAnswer: 60840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113\/3 - 39. Suppose 3*w - 4 = m + 7, -m - 4*w + 17 = 0. Let r be m\/(-2) - ((-27)\/18)\/3. Which is smaller: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, -0.2, -0.3876?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19006.23 - 490.\nAnswer: 18516.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 y when three letters picked without replacement from {y: 2, c: 18}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 11 and 1.005.\nAnswer: 12.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*n**2\/5 - 33*n\/5 - 18\/5.\nAnswer: 3*(n - 1)*(17*n + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d - 2 = 2*j, 2 = 3*j + 2*d. Solve -3*t = -u - 5, 0 = -j*u - 4*t + t + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1966.6442 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163431643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3148 in 9, 2\/9, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14403052.\nAnswer: 2, 3600763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*c + 4*c + s, 0 = 2*c - 2*s. Suppose 990 = w + c*w. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 59. Let b = -13 - v. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 4*z - 220, -3*b + b - 4*z = -100. Let v = b + -11. Suppose 2*g + 6*r = 2*r + 38, 2*g - v = -r. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0151 - -0.1151. What is the closest to -86 in x, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -295.9 + 298.9. Put 0, -0.3, l, -2, 2 in ascending order.\nAnswer: -2, -0.3, 0, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4000, 8486, 13918, 20770, 29516?\n\"Answer: 79*v**3 - v**2 + 3936*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113 - 56. What is the greatest common divisor of g and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*x + 3)*(-4*x + 2 + 0*x + 5*x) to u + h*x**2 + l*x and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 554 or 555?\nAnswer: 554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*h - q, 2*h + 2*q - 11 = -h. Solve 0 = -0*d + h*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {w: 1, a: 3, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116832\/68*1 - 6*(-4)\/(-204) is divided by 114.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2*k**3 + 4 - 5*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 8*a**2 + 9*a + 8. List the prime factors of q(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u + 6. Let d be h(-3). Let n = d - 15. Suppose 15 = -3*f, n*f - 5*f = t + 10. Solve -3 = 3*s - t*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 19 - 1*4)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2106090, -2106186, -2106282?\nAnswer: -2106378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 159097*c + 2328. Is y(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*g - 4*g. Let c = g - 28. Let b = c - -186\/7. Sort -0.1, -3, b in descending order.\nAnswer: b, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3273101399?\nAnswer: 3273101399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 3190458626.\nAnswer: 19142751756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 186\/25?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4150 = 2*n - 12*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5351949 - 5351921.89697. Let o = 34.103058 - v. Let m = o + -7. Round m to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.42865816 - 0.07136284. Let x = -3.1 - -7.6. Let v = p + x. Round v to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -106, 4\/3, -3.57?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 58*c**3 - 5*c**2 - 5*c - 83. Let p(o) = o**3 + o**2 + o - 1. Suppose -49 = -7*b - 14. Let a(t) = b*p(t) + j(t). What is the derivative of a(s) wrt s?\nAnswer: 189*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14514, 29056, 43598, 58140?\n\"Answer: 14542*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614986 + 1363*f**3 - 2729*f**3 - 614986 + 1380*f**3.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.6 take away 292302?\nAnswer: -292399.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 - 6*f**3 + 4*f**2 - 2*f**3 + (1 + 1 - 3)*(-2*f**3 + 0*f**3 + 0*f**3) - 5*f + 5*f + f**3 - 2*f**3 + 3*f**3 + f**3)*(-2 + 1 - 3).\nAnswer: -4*f**3 - 16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**3 + 503*p**2 - p**3 - 8*p**3.\nAnswer: p**3 + 503*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-152)\/(-95))\/(2\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 9972 = -0*s. Suppose -5*u - 4*k = -u - 1124, 3*u - 3*k = s. Differentiate -7*d**4 - 20 - 279*d + 64 + u*d with respect to d.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 43*f**3 + 23*f**2 - 7*f - 3. Calculate r(-2).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 27 = -4*y + 9, 3*y - 5*s = -13. Solve 13 = 3*n - 4*v - 16, -5*n = y*v + 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m. Suppose 31 = 8*a - 3*a - l, 2*l = -2. Let y(c) = 2*c + 5*c - 3*c - a*c. Give y(z(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 + 21. Let n(o) = 109955*o. Determine d(n(i)).\nAnswer: -36270306075*i**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -5.8 (b) 0 (c) 4 (d) -260\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(5)*4 + -1*sqrt(245).\nAnswer: -31*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 6*b**2 + 3. Let m be y(-6). Suppose 3*w = -2*i + 158, -3*w - m*i + 24 = -138. What is the tens digit of ((-3)\/(-6))\/(1\/w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1035*i**3 - 10*i - 907. Let p(m) = 1552*m**3 - 14*m - 1360. Let u(k) = 7*f(k) - 5*p(k). Differentiate u(x) wrt x.\nAnswer: -1545*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 606228623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1354062, 2708096, 4062130?\n\"Answer: 1354034*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 400074 and 148160738.\nAnswer: 444482214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/11 and 346\/25*(519\/72 + -7).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -4.5. Let h = j - 8. What is the biggest value in h, -11, 2\/5, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 15. Let d be (-39)\/(-2)*128\/96. Sort 3, d, r in descending order.\nAnswer: d, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yztii. Give prob of sequence tzyi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*y + 11 = 445*y - 2*d, -3*y + 2*d = -9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7, -31, -73, -133, -211, -307?\n\"Answer: -9*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15376886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -617*i**2 - 11121*i - 276. What is n(-18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 1. Let n be 3\/4 - (-9)\/(-12). Suppose n*u + 3*u - 3 = 0. Let j(v) = v**3 - v - 3. Determine u*j(g) - 3*b(g).\nAnswer: -2*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 14 - x - 10 + 0 as q + t*x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/2 + 1. Let g = 1537 - 1545.61. Let v = -4.61 - g. What is the closest to q in v, 2\/3, 1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (2 - (-4 - 6))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20400 divided by -4\nAnswer: 5100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 1821436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 94.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2*f + 30 = 0, -5*f + 497 = -k + 518 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1957*h - 60 = 1897*h. What is the smallest value in h, 0.4, 5, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36252*y + 36169*y - 2407 = 0 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2182.9 + -2180.9. Sort 13, 1, 1\/11, a in descending order.\nAnswer: 13, a, 1, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 25*w - 78600000 = 0. Suppose -24*o - w = -25*o. What is o rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n - 2*n + 79*n**2 + 0*n + 54*n**2 - 5*n to f*n + c + p*n**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25.3 (b) -3 (c) -3\/11 (d) 0.3 (e) -5 (f) -71\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-15) + (-8)\/(-5). Let m be -5 + (3 - h) + -1. Let p be (-4)\/(-1) + 8 + m. Solve y = -y + p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*y - 6*y**2 + 22*y)*(-9*y**2 + 8*y**2 + 0 - 3).\nAnswer: 6*y**4 + 18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*5 - (0 + sqrt(17) + -1).\nAnswer: 1 + 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-2))\/(6660\/(-85248)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223587225 to the nearest integer?\nAnswer: 14953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (34\/(-10) - -2). Suppose h = -0*q + 2*q - 7, 5 = h. Suppose -2*k = 4*k + q. Do s and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1302, 2063, 2848, 3669, 4538, 5467, 6468, 7553?\nAnswer: 8734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3064247133?\nAnswer: 3, 149, 6855139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 3. Let f(m) = -4117*m + 14. Give f(v) - 4*n(v).\nAnswer: -4113*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -1, -0.15 in descending order.\nAnswer: -0.02, -0.15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 + n**4 - 6*n**4 + (-11 - n + 11)*(-6*n**3 + n**3 - 4*n**3) - 4*n**4 - 1 + 5*n**3 - 4*n**3 + 2*n**4.\nAnswer: 4*n**4 + n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18343.23l in millilitres?\nAnswer: 18343230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 8 + 1. Let b(h) = h**2 + 4*h. Suppose -t + 2*q - 10 = 2, -4 = -2*t - 3*q. Let s be (5 + t)*(6 - 5). Let i(p) = p**2 + p. Give r*i(a) + s*b(a).\nAnswer: -2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 5*h - 1, -3*r + 28 = 5*h + 31 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llqi when four letters picked without replacement from wldqilk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-9)*(-1)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -84 (c) -21 (d) -3\/8 (e) 3 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 583.2162 rounded to the nearest ten?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942985691.\nAnswer: 41, 421, 54631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = -2*w - 3562, -2393 = -2*z + 5*w. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 615, 2109, 5025, 9837, 17019, 27045, 40389?\nAnswer: 57525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827564.\nAnswer: 2, 19, 10889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*f**2 + 254*f**2 - 79*f**2 + 2.\nAnswer: -150*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.17, 2.23, -1, 1 in decreasing order.\nAnswer: 2.23, 1, 0.17, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 n, and 1 b when three letters picked without replacement from plupwbpnwwb?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 11*l + 16. Calculate the smallest common multiple of 20 and w(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 - o. Let g be 6\/(-4) - (-10)\/4. Let a be k(g). Suppose a*y = -b + 6, 3*b - 8 = -3*y - y. Are b and -5\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302931 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341849 (base 12) to base 13.\nAnswer: -231b40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194113440 divided by -26464.\nAnswer: 7335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(734 - 664 - 1570)*(-4*g + 2*g + 0*g) to m*g + s and give m.\nAnswer: 6000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -25\/12?\nAnswer: -25\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/((-100)\/(-20)*-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/10, -4, -3, 2, -6\/7, 2\/3.\nAnswer: -4, -3, -6\/7, 2\/3, 9\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**4 + 7*z**2 - z. Let a(p) = 5*p**2 - p**2 - p - 3*p**4 + 2*p**2. Let u(j) = -7*a(j) + 6*l(j). What is the second derivative of u(d) wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - j = 1, -3*y - j = -3*j + 1. Differentiate -29 + 8*k + 26 - y*k wrt k.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 5*l**2 + 4*l)*(38*l - 15*l + 4 - 22*l).\nAnswer: 5*l**3 + 20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, j: 2, o: 5, b: 5}. What is prob of picking 1 j and 3 b?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 = 2*c - 0, 2*c + 5*m + 20 = 0. Let y = 9 + -10. Let d(x) = -4*x - 2. Let j be d(y). Which is smaller: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-13 - -3) + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 25*f + 5520 = 0. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*x**2 - 15*x - 8 - 22*x**2 - x + 4*x**3 + 2*x**4 = 0. What is x?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73760?\nAnswer: 2, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 0*j = -6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*f + 14, -2*f = j + f + 7. Let v = j - 1. Suppose -3*l = t + 1 + 6, 0 = -3*t + l + 19. Put v, t, 4 in increasing order.\nAnswer: v, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/600*(-6)\/4*1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and -252202031821.1.\nAnswer: -252202031827.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5.8 (b) -3.1 (c) 0.1 (d) -0.09 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(21)\/sqrt(3)*4 - (1 + sqrt(14)\/sqrt(2))).\nAnswer: -2 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468334 is divided by 3143?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70862923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p - 2. Let u be b(-3). Suppose -u*h - 6 = -h. Let i = 4 + h. Solve 5*r - i = -3*a - 1, 2*r = -5*a - 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n + 87*n = -260*n + 10444. Calculate the remainder when 6770 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1516 - 106117\/70. Let d(i) be the second derivative of -1\/21*i**3 - v*i**5 + 0*i**2 - 1\/105*i**6 + 0 - 1\/14*i**4 - 2*i. Factor d(k).\nAnswer: -2*k*(k + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/15*25\/55.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 6. Let i be (18 + 0)*4\/(-8). Let j = i - -12. Calculate the lowest common multiple of x and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:32 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (447\/(-298))\/(((-1)\/2)\/(2\/(-11)))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, -0.4, 0.22, 1\/31, -1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1639 + -1141. Suppose -2*c = 8, 34 = 2*q + c + 22. Suppose q*b = 2*b + w. What are the prime factors of b?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 2685083\nAnswer: 161104.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - 1*sqrt(300) - 5*sqrt(108))\/(-6*(-3*-2*sqrt(4) - (sqrt(64) + (sqrt(64) - (sqrt(64) + 1*sqrt(64)))))).\nAnswer: 19*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -s - 177, 3*b = -3*s - s + 545. Calculate the greatest common factor of b and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48764 divided by -4.\nAnswer: -12191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**5 - 11*q**4 - 1647*q**3 + 1667*q**2 + 1646*q - 1656 = 0.\nAnswer: -36, -1, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 at least as big as 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 3*v - 5. Let w be a(2). Suppose -2*k + 467 = k + c, w*k = -3*c + 773. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 10:46 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4982043 by 669.\nAnswer: -7447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 0*m + m + 0*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -11*d**4\/4 - d**3\/3 + d**2 - 2*d - 11. Let r be h(1). Calculate the remainder when 114 is divided by (-4)\/6 - 476\/r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 2274 = -4*j + 20*a, -2271 = -4*j + 3*a. Suppose j = 4*c - 422. Does 31 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46620 (base 7) in base 13?\nAnswer: 55aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 185*v - 122*v = -10656 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/3 - 697*h**4\/3 + 54056*h**3 - 12648640*h**2\/3 + 12487168*h\/3 = 0.\nAnswer: 0, 1, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + 5*q**3 - q**3)*((3*q - 3*q + q)*(3 + 3 - 7) - 9*q - 13 + 13) + (-10*q - 9*q + 9*q)*(-q**2 + q**2 + 2*q**3).\nAnswer: -40*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**5\/60 - 3*p**2 + 63. Let n(s) be the third derivative of s**5\/12 - 29*s**2. Calculate j(n(d)).\nAnswer: -25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(2466\/(-1612)) + 1034\/(-1551) and -43\/3.\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 6) + -3 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 11 = -8*r. Let i = 25 + -1. Solve 4*g - 2*g - i = 4*m, -r*g = 2*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1212213212 - 120010?\nAnswer: -1212333222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + u. Suppose u = 4*q + q + 5. Which is smaller: q or 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeallljeeoeegje. What is prob of sequence gaj?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyy when three letters picked without replacement from yyfyffyfyffy?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:02 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -540002*g - 6. Suppose 0 = -0*m - m + 3. Let h be c(m). Let z be h\/18 + 2\/3. Round z to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478550 is divided by 239213?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 114244619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 2*d**2 + 3*d - 4022. Let g be l(0). Let r = -8332 - g. Round r to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 6) + -2 + (-2 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299 - 1271 + 326 - 119*v**3 + 324 + 322.\nAnswer: -119*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**6\/360 - o**5\/120 - o**4\/12 + 7*o**3\/6 - 12*o**2. Let m(x) be the first derivative of j(x). What is m(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/1*(-15)\/(-45). Suppose 2*a + 4*i - 1168 = p, 2*a - 6*i + 3*i - 1196 = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/(-5) + (-6)\/(-10). Suppose 0 = 3*a - i*d - 1582, 5*a - 2*d = -7*d + 2650. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**4\/4 + 11*a**3\/3 + 6*a**2 - 5*a - 1. Let b be c(12). Is b <= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*z**2 + 4*z**2 - 5*z + 18 + 20*z.\nAnswer: -3*(z - 6)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 1)*((1 - 1 - 1)*(6*c - 8*c + 15*c) - 18*c + 15*c - 6*c + 0*c - 1 - 2*c + 0*c) to the form t*c + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 914.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 140950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 231357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -3. Suppose 2*j - 44 = -x*c, 8*c = 3*c + 4*j + 29. What is the remainder when 25 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.087 less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*n - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 3*p + 4. Let m = p - -26. Solve -3*j + 5*j + m = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*z**2 + 29*z**2 + 50*z**5 + (4*z + 2*z**3 - 4*z)*(5*z**2 - 4*z**2 - 4*z**2).\nAnswer: 44*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/2)*k**(-8)*(k*k\/k**(-4\/5)*k*k)\/(k*k*k*k**(-2\/15)*k))**19 assuming k is positive.\nAnswer: k**(-3173\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**9\/336 + d**6\/120 - 3*d**3 + 14. Let o(a) be the third derivative of p(a). What is the third derivative of o(t) wrt t?\nAnswer: -540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58\/165 + 8\/15. Which is the fourth biggest value? (a) 0.3 (b) 2\/69 (c) r (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j - 42. Let v be -3*(32\/(-12) - 3). Calculate the remainder when r(v) is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2*-2*sqrt(242))**2 + (-1 + sqrt(242))**2 + 2)*-5*4.\nAnswer: -411700 + 2200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053*u + 44683 - 66796 = 0 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 7*x**2 - 2*x + 1. Let y = -5 - 2. List the prime factors of q(y).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23185, -23184, -23183, -23182, -23181?\n\"Answer: h - 23186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*g - 86*g = -1829472. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*p**2 + 5*p - 127 + 220 - 94 - 1296*p**2.\nAnswer: -839*p**2 + 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 16 = 2*k - 0*k, 2*k = 0. Let f = 25 - 18. What is the smallest common multiple of f and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/7 - 29164*v\/7 - 8006592\/7 = 0. What is v?\nAnswer: -272, 29436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/4969272?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9947, 19949, 29951, 39953, 49955, 59957?\nAnswer: 69959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0.1, -0.91555?\nAnswer: -0.91555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24113 (base 5) to base 8.\nAnswer: -3367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/20944 and -11\/147322.\nAnswer: 12964336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 80820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/28)\/(682\/(-308))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**(-1)*q)*(q\/(q\/(q\/(q**3\/q))))\/q*(q\/((q*q*q**(-1\/8)*q)\/q*q))\/(q**(-2\/5)*q) assuming q is positive.\nAnswer: q**(-139\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1636155307\/380 - 4305667. Let i = p - 49\/10. Suppose 6*z - 4 - 2 = 0. Is i at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1 (c) 1\/7 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-259)\/3626)\/(25\/(-4900))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364 = 81*s + 13*s - 106 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 + 1515 = 308*s - 391 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24028024 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -10 - g**2 + 1 - 3*g + 4. What is t(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10*c**3 + 5*c**2 - 9*c + 46. Let a be k(9). Let d be 221538\/(-8)*12\/48. Let t = a - d. Calculate the common denominator of -69\/2 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/5, -2\/9, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = y + y - 6, 5*f = 4*y - 15. Let h be f + (-30)\/8 + -1. Let v = h + 17\/4. Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2.2. Let i = -0.15 + 0.05. Let h(p) = 45*p - 94. Let f be h(2). What is the closest to l in f, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 38 - 6)*(5*c**4 - 4*c**4 - 3*c**4) + 3*c**4 + 2*c**4 - 6*c**4.\nAnswer: -79*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 7 + 7)*(0*k + 2*k - 4*k) + (1 + 3 + 0)*(2*k**2 - 5*k**2 + 4*k**2).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2568 - 2568 + 623*l**3)*(6*l**2 + 2*l**2 - l**2).\nAnswer: 4361*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 7:38 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.44 - -11.54. Sort 2, -42, x in increasing order.\nAnswer: -42, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51809792 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 3*p**2 + 4*p - 5. Suppose 2*u = 4*y + 34 + 18, -5*y - 5 = 0. Let b(o) = -o**3 + o**2 + u - 2*o - 55 + 33. Calculate -5*b(d) - 2*s(d).\nAnswer: 3*d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 14) to base 6\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 29*q + 219. Let f(i) = 17*i + 110. Calculate 5*f(c) - 3*x(c).\nAnswer: -2*c - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 14*m**2 - 33*m**2 - 42 + 16*m**2 + 34. Let p(h) = 2*h. Give i(p(j)).\nAnswer: -12*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 47, 77, 111, 149, 191?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-60)\/(-9))\/(2 - (-4580)\/(-2295)). Round y to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1967365, -3934715, -5902065, -7869415, -9836765, -11804115?\n\"Answer: -1967350*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.3. Let w = 130\/119 + -769\/595. Sort 11\/3, l, w in decreasing order.\nAnswer: 11\/3, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 2*b - 11, 154*t + 4*b - 16 = 158*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 4*p = 0. Suppose -5*s - 8*s + 6656 = p. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/24 + (-35)\/(-14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + sqrt(325))**2 + (((sqrt(13) - sqrt(13)*-2) + 3)**2 - (2 + sqrt(13))*3).\nAnswer: -55*sqrt(13) + 494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10295.\nAnswer: 5, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169 - 102. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.631934549 to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -0.1 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -19*b + 1. Let z be f(-1). Suppose 2*d - 7*d + z = 0. Suppose d*s - 4*r = 3*s, 0 = -s - r. Solve s = n - 5*t - 4, 3*n + 3*t - 12 = 6*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 m when four letters picked without replacement from {s: 6, m: 4, b: 1, p: 3, t: 2}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 3736.\nAnswer: 1\/934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 5*j + j - 61 + 128.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adddttdttddtdddddd. Give prob of sequence td.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 0*g**3 + 121\/12*g**4 + 2*g - 20 + 0*g**2. Let f(a) = -2*a**2. What is j(f(x))?\nAnswer: 484*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 + -10 - -11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -15. Let n be 1\/(a\/6 + 1). Suppose -n*b - 3*b + 60 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 5)**2*4.\nAnswer: 240*sqrt(3) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -5, 2, -3, -2, 0, 11089.\nAnswer: -5, -3, -2, 0, 2, 15, 11089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 2:48 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1292 = -953. Let p = 31411\/14 + q. Find the common denominator of -29\/10 and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**2 - 1060*b + 7616 = 0.\nAnswer: -272, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 134, 387, 586, 743, 870, 979, 1082?\n\"Answer: 2*x**3 - 39*x**2 + 356*x - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9335 divided by 1867\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/42)\/(251\/(-1506)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 4:33 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*v + 10, 3*v = -5*j + 9 - 31. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - -2) + (25 - ((-4 - 0) + 17))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/13)\/(6 - (-7)\/(-1)). Are o and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p - 5. Let k(z) = -2*z. Let a(i) = -1. Let s(w) = 2*a(w) - 2*k(w). Let o(b) = -4*n(b) + 9*s(b). Does 9 divide o(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**2 + 21*j - 9. Let k(c) = -2*c**2 - 10*c + 5. Let w(z) = 3*a(z) + 7*k(z). Let v be w(8). What is the greatest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14462639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-15)*y)*y*y**(1\/2)\/y*y*(y**(3\/7)*y)\/y**(1\/22) assuming y is positive.\nAnswer: y**(1377\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -164559 divided by -8661?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3190 and 770?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 5) + 1*14. Let x = -12 + p. Suppose w - m - 9 = x, -5*m - 4 = 6. Solve 2 = -5*l + w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17 + 61 - 182 - 48*x wrt x.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 12:05 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**2 - 2. Let a(c) be the first derivative of -10*c**3\/3 - 1721. What is u(a(k))?\nAnswer: -800*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144 - 113. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 4*x - 75. Let i be b(4). Put i, -13, 8 in increasing order.\nAnswer: -13, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14364.71 millimeters to nanometers.\nAnswer: 14364710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499*r = 426 + 73 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 718900, 1437811, 2156734, 2875669, 3594616, 4313575?\n\"Answer: 6*h**2 + 718893*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7519, 14964, 22413, 29866, 37323, 44784?\n\"Answer: 2*r**2 + 7439*r + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 26. Let j be n(0). Suppose a + 0 - 3 = 0. Suppose a*t - 260 = -t. Calculate the highest common factor of j and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**2 + 70*c + 70. Let l(d) = -d**2 + 12*d + 12. Let p(n) = 35*l(n) - 6*m(n). Let k(h) = -6*h - 3. Determine p(k(t)).\nAnswer: -180*t**2 - 180*t - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1008) + (sqrt(1008) + -3 - sqrt(1008)) + sqrt(1008) + 2 - sqrt(1008)) + sqrt(1008) + sqrt(1008) - -5*sqrt(1008)*5)**2.\nAnswer: -672*sqrt(7) + 790273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*n - 3*r - 666, -5*n - 2*r = 591. Let t = n - -121. Calculate the least common multiple of 10 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 15*t**2 + 120*t - 140.\nAnswer: -5*(t - 2)**2*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/5, 8.14, -2\/5.\nAnswer: -3\/5, -2\/5, 3, 8.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 12:22 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -20*x**3 - 3*x**2 - 7*x + 1. What is the remainder when d(-2) is divided by 95?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60095 at most as big as -53211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27707859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(108)\/sqrt(9) + (sqrt(18)*-1)\/sqrt(6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**2*j**(-5))\/((j\/j**(-3))\/((j\/j**5)\/j*j)))**(1\/9))**21 assuming j is positive.\nAnswer: j**(-77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 6*g + 4. Let y be (-16)\/(-12)*(0 + (-36)\/(-3)). Suppose 18*r + y - 142 = 0. What is m(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002423985 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 13445, 74 in decreasing order.\nAnswer: 13445, 74, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 813 and 156387?\nAnswer: 42380877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -18 + 12 + 7 - 2*r + r**3 + 2*r**2. Let c be b(-2). Let q(z) = -z**3 + 8*z**2 - 6*z + 7. Is q(c) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*i + 115, 15*c - 35 = 18*c - 5*i. Let b(s) = s + 22. Let l be b(c). Determine p so that 5\/2*p**3 + 0 + 15\/2*p**l - 10*p = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -472 + 474. Solve 3*z - 10 = -5*o, g*o - 2 = o - 2*z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 86 = c - 12, 3*c - 44 = -2*g. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 + 4*b**2 + 4. Let a(f) be the second derivative of 7*f**5\/20 - 3*f**4\/4 - 9*f**2\/2 - 2*f. Give -4*a(k) - 9*t(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**4*z - 4894667*g**4 + 26*g**2*z - 7376*g**2 - g*z - 10*g wrt g.\nAnswer: 24*g*z - 117472008*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1478 minus 0.08?\nAnswer: 0.0678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8222.249 grams?\nAnswer: 8222249000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61\/2079 - -340121\/11804562. Let l = 178827\/56780 - j. What is the common denominator of l and -15\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-5 - 4) + 7 + 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-120)*-15*(-6)\/90?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23527649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600569 = -6813*k + 219041 for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-129*m - 96*m + 82*m)*(3 - 3 - 2) + 9 - 2 - 5 - 12*m to k*m + u and give k.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**5\/10 + 5*f**4\/12 + f**3 + 3*f**2\/2 - 379*f. Calculate y(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 414*a**5 - 13 - 3*a**2 - 380*a**5 + 4*a**2 wrt a.\nAnswer: 2040*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*n**2 + 11*n wrt n.\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 4*p - 2. Let l be r(5). Let i = 1 + -1. Let u(t) = -5*t + 4 + t**2 + 0*t + i*t**2. What is u(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 579, 158 in increasing order.\nAnswer: 3, 158, 579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62.6 - -55. Round y to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 35 = 4*z, -2*z - 3*p = 25 - 6. Let j(n) be the third derivative of 0*n + 7\/6*n**3 + 5\/24*n**4 + 0 - 6*n**2. What is j(z)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - (136 - (299 - 64)) - 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - 1200102220?\nAnswer: -1200102300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + 12 - 0*(-5)\/(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 48. Determine i(3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 6*l = 209. Sort l, -1, -4.\nAnswer: -4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762463\/54 greater than 14121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 14*a**2 - 8*a - 14. Let n = 78 - 65. What is the remainder when u(n) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4616 - 4619. Sort h, 186, 2 in decreasing order.\nAnswer: 186, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 0 = 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/7, -2, 2, 0.303?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eweeeeeeeeeeeeeeew. Give prob of sequence wew.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02 and 20.\nAnswer: 19.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 + 2. Let n be (-1)\/4 - (-100)\/(-240). What is the closest to 0 in n, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**4 - 2*u**5 + 0*u**4 + (5*u - 8*u + 2*u)*(-2*u**4 - 3*u**4 + 6*u**4) - 2*u**4 + 73*u**2 - 73*u**2 + 8*u**5 + 2.\nAnswer: 5*u**5 - 2*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 + 2*z + 1. Let c be f(-1). Let n = c - 0. Let q be -1 - (n\/6 + -2). Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6572*j - 1843*j + 8404*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 + 3*j**3 - 4*j**3 + (-3 - j + 3)*(-5*j**2 + 0*j**2 - j**2))*(0*j + 0*j - j**2)*(2 - 5 + 1).\nAnswer: 16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -733*a**6\/15 - 548*a**2 - 1312*a. Differentiate q(s) wrt s.\nAnswer: -5864*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 5*p + 2. Let l be w(2). Is 22 a factor of l\/((-41)\/(-14) + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4583.857 rounded to the nearest one hundred?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -25.7. Let c = -3.2 + u. Let p = -186 - -186.07. What is the smallest value in c, p, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 718 minutes after 7:55 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 45213335103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20722 is divided by 6906?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -13 + 38. Suppose -2*p - 176 = -4*y, -4*p - 35 = f*y - 229. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -4607?\nAnswer: 4606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (6 - 2*(-548)\/(-64)) - 4.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7606 = -2*g + 2*z + 1766, g + z = 4686. Does 66 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*m - 36*m - 3*m + 17880 = 0. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1834842115.\nAnswer: 5, 366968423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -377*w**2 + 104. Let v(l) = -36*l**2 + 10. Let z be -4*2\/(-44) + 3591\/(-693). Let q(i) = z*n(i) + 52*v(i). Let r(c) = -11*c**2. What is q(r(b))?\nAnswer: 1573*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 1) + 2 - 60\/(-2). Let t = -25 + d. Solve -4*n + t = 2*w + 22, 0 = 4*n + w + 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 14 = -4*z - 11, 0 = -5*l - 16*z + 57 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 9:08 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 6*g + 0*g)*(3*g - 2*g - 3*g + (-1 + 0 - 1)*(0 - g + 0) + g - 3*g + 3*g + 1 - 1 - g + 0*g + 2*g - g)*(0 + 1 - 2).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*i - 4*g, 4*i + 3*g + 50 = 9*i. Calculate the remainder when 37 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2428, -3261, -4098, -4939, -5784, -6633, -7486?\nAnswer: -8343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 26. Let o be z - 1 - (-6 + 7) - 204. Let c = o - -360. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136714 (base 11) to base 4.\nAnswer: 310030332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**3 - 4*l**2 + 6*l - 2. Let k be p(2). Suppose 57*c = 62*c - k. Suppose c*g - g = -g. What is g rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - 3*j**4 + j**4 + (-2*j + 2*j + j)*(2*j**3 + 5*j**3 - 5*j**3) - 118*j**4 + 48*j**4 + 38*j**4 - 7*j**4 - 9*j**4 + 6*j**4.\nAnswer: -41*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -503.604 * 6\nAnswer: -3021.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(2\/15))*k**(-2\/3))\/(k**3\/k*k**(-2)))\/((k**1)**(6\/5)*k**(-4\/7)*k*k\/(k\/k**0)) assuming k is positive.\nAnswer: k**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + 3642?\nAnswer: 3630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/122 and 61\/6.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w**2 + 3*w - 4. Calculate d(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36366 and 52503?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 293, -4, 16, -8, -5 in decreasing order.\nAnswer: 293, 16, -1, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 2. Let f(h) = h**2 + 5*h. What are the prime factors of f(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g**2 - 19*g**2 + 34*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 - 54*g**3 + 51*g**2.\nAnswer: 3*g**2*(g - 17)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 195106\/7 - 28065. Let a = 193 + j. Let z = 4 - 6. What is the closest to z in -3\/4, 2, a?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -16. Let c be 7 - n - (2 + 1). Solve 2 = -2*g - 5*h + h, -c*g + 5*h = -35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4 + sqrt(448) - sqrt(448)))**2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/819 + 4*(-4)\/(-48)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(1539)*2))**2 + (-1*sqrt(133)*-2)\/(sqrt(448)*-3 + sqrt(448)).\nAnswer: -sqrt(19)\/8 + 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 432096 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 52*r + r**4 + 22 - 52\/3*r**3 - 2*r**2. Factor h(s).\nAnswer: 4*(s - 13)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 11*s - 9*s - 9, 5*s = 2*q + 8. Let -2\/11*y**3 - 2\/11*y**s + 0 + 4\/11*y = 0. Calculate y.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33084501 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -11111000100000100111?\nAnswer: -11111000100000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(42\/7)*387\/(-86)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (3 - (-5 - 0))) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 23 = -3*r. Solve 5 = -r*q - 0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 78862852 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/20 + (-1)\/(-5). Suppose -r + 5*r - 44 = b. Let f = r + -3. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421393 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 191151485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/8432 and -79\/2318800?\nAnswer: 2318800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j. Let m = -69 - -105. Suppose 0 = -3*h + 4 + 2. Let x(c) = 2*c**2 - 18*c. Let y(p) = p. Let i(v) = h*x(v) + m*y(v). Determine i(g(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l - 31*l + 143*l - 52*l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20648552 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -2*i + 5. Suppose 29 - i = -2*y. Solve -y*d + 4 = 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -396678, -793370, -1190062?\nAnswer: -1586754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/3 - (-564)\/165. Let v = u - -2\/11. Factor 0*s + v*s**2 - 3\/5.\nAnswer: 3*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5\/3 - 205552*y**4\/3 + 7034660048*y**3\/3 - 79916924681984*y**2\/3 - 8549008237558880*y\/3 - 16778292495820544\/3 = 0. Calculate y.\nAnswer: -104, -2, 34294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75972 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 3, -4, 128901, 4 in descending order.\nAnswer: 128901, 5, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (1 - (13 - 12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61672513 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 187323, 375862, 564401, 752940, 941479, 1130018?\n\"Answer: 188539*l - 1216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from {z: 1, t: 1, j: 1, b: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 0*u**3 + u**2 - 3*u**3 + 5 + 4*u**3 + 0*u**3. Let l be a(0). Factor 0*p**3 + 2\/9*p**l + 0 + 0*p + 0*p**4 + 0*p**2.\nAnswer: 2*p**5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 17 = 5*s + 37, -4*u + 16 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 35 - (11 - (-30 - -23))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -10?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 1084596*g**2 - 1084592*g.\nAnswer: -4*g*(g - 271148)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.27, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2498.89386 to 1 decimal place.\nAnswer: 2498.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 + -40. Let j = v - -2. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bunnbnbunubbubn. What is prob of picking 1 n and 1 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 118516 or 50?\nAnswer: 118516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16095 and 45695?\nAnswer: 3975465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -284414, 7, 12 in ascending order.\nAnswer: -284414, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138\/(-161) + -57826*(-6)\/42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10837*v - 86698. Determine m(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**3 + 31*p**2 - 43*p - 31. Let w(h) = -2*h**3 - 10*h**2 + 14*h + 10. Let f(a) = -3*n(a) - 8*w(a). Is f(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -453*f + 1907. Is 13 a factor of q(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/56)\/5*(-8)\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0045864 to four dps.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 3, -29 = 4*a + l - 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, x: 1, h: 4, b: 2, u: 2}. Give prob of picking 1 b and 1 u.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4) + 5\/(-20). Solve 3*n = -s*n - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 536, 607, 722, 881, 1084?\n\"Answer: 22*k**2 + 5*k + 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4072?\nAnswer: 4072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 2. Let f(c) = 1. Let h(q) = -5*f(q) - n(q). Let z(t) = t**2. What is h(z(m))?\nAnswer: 2*m**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3720299046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 54, 46, 40, 36, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 - 5*x**2 + 66 + 4*x**3 + 5*x**2 + 63.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**3 - 12*p**2 - 24*p + 32 = 0. What is p?\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 - 7*u**3 + 0*u**3 + (5*u**3 - 3*u**3 + u**3)*(5 - 2 - 4) + 2*u**3 + 4*u**3 - u**3 in the form y + d*u**3 + p*u**2 + f*u and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2 = -0. Is (7\/21)\/(v\/(-2682)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -132? (a) -0.5 (b) 3 (c) 5\/6 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1088)\/(-28) - ((-72)\/63 - 0)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 4*i + 0*i)*(-i**3 - 4*i**2 + 4*i**2 - 4*i + i**3 + 4*i + (2*i**2 - 4*i**2 + 0*i**2)*(-3 + 3 + i) + 17 - 49*i**3 + 4*i**2 - 5 + 50*i**3).\nAnswer: 2*i**4 - 8*i**3 - 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1553567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 2:20 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 285 and 6?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-5 - (sqrt(120)\/sqrt(5))\/sqrt(8))**2 - 1*(-1*(1*sqrt(3) - sqrt(3)) + 1 + sqrt(3) + sqrt(3) + 1).\nAnswer: -2*sqrt(3) + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262969 is divided by 429?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*q + 21. Suppose 9 = 3*b - q. Find the third derivative of -o**2 + 2*o**b - 2*o**2 + 4*o**2 wrt o.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 33)\/1*25\/(-10). Let l(t) = 5*t - 10. Let v be l(-7). Let b be (-10)\/a - (-96)\/v. Sort 4, b, -1.\nAnswer: b, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 - 12\/(-3))\/(-1). Suppose 0 = 5*d + 8 - 3. Let k be 1\/(d*(-1)\/w). Solve y + k = 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d = -4*v + 15, -4 = -4*v. Suppose 0 = 16*q + 8*q + 3240. Let h = q + 138. Solve -2 = -h*y - d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2390*b**3 - 8*b**2 + 6*b - 5. Is g(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006430145 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 15*q + 51. Suppose 0*l - 51 = 5*l - 2*s, s = 3*l + 31. What is the remainder when 23 is divided by i(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:26 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 414, -98, -612, -1128, -1646, -2166, -2688?\n\"Answer: -g**2 - 509*g + 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -31. What is the remainder when s is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7121848883.49 + -0.11?\nAnswer: -7121848883.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + sqrt(612) + -5)**2*-1 + 5.\nAnswer: -629 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + 2*sqrt(684))**2.\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**5\/20 + 5*s**4\/12 - s**3\/3 - s**2 - 32*s - 68. Let p(c) be the first derivative of o(c). Determine p(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736879 is divided by 736799?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188 + (-4 - -6) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1716210?\nAnswer: 2, 3, 5, 19069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 + 45686*o**2 + 782726816*o + 2348043392\/3.\nAnswer: 2*(o + 1)*(o + 34264)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2627 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 554*g**2 - 3297*g - 603358. Give z(-550).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*825\/110*(-2)\/24?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.67 and 0.38?\nAnswer: -6.7146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 10*v**2 - 11*v + 2. Let h be f(-11). Suppose -5 = -u - h. Suppose -12 - 33 = -u*m. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/18328 and -109\/2552.\nAnswer: 201608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + 0. Solve d = -3*w - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 7*c - 2. Let m be h(5). Let n = m + 6. Let q(d) = -2*d + 1. What is the remainder when n is divided by q(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**2*i**2*u**2 - 85351*d**2*u**2 - 9*d*i**2 + 6817*d*u**2 - 2*i**2*u wrt d.\nAnswer: -6*i**2*u**2 - 170702*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a**2*d*i - 2*a**2*i - a**2 + 14*a*d - 2*a*i + a wrt i?\nAnswer: 4*a**2*d - 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -619 times -0.2?\nAnswer: 123.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27241 + 899023\/33. What is the common denominator of h and -46\/63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 1417*v - 1416*v + 10 = 0, 0 = -5*m - 14*v + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (33\/(-12) + 2)\/((-9)\/60). Let u = 1 - -5. Suppose 2*m - 2*a = a, -3*a = -m - u. Solve 14 = -y*z - m, -3*j + 4*z = -25 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*o + 17 + 142 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 137*d**4\/12 - 129*d**2 - 3*d - 16. What is the first derivative of y(o) wrt o?\nAnswer: 274*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1342 and -35\/160925442?\nAnswer: 1770179862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101001011001001000 (base 2) to base 14.\nAnswer: b346c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 - 84. Let a = 28 - q. Let b(z) = 4*z**2 + 2. Let u(r) = 5*r**2 + r + 3. Determine a*b(x) + 2*u(x).\nAnswer: -2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-3)\/(6\/(-4))). Suppose -2*v + 2*u = 2*v - 32, 5*v - 5*u - 40 = s. Suppose -c + 36 = -v. Is 22 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, x: 14}. Give prob of picking 2 x.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*o = 21*o - 82*o + 33*o - 20230 for o.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 5979 = -1492. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115\/(-920) + 35\/(-112)*34\/(-25)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 6:38 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (-24 + 8)) + (-39 + 2 - 5 - -8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000153658 to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -56955*o + 342061. Calculate k(6).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-4)\/(-1 + -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*m + 3*n, -6 = -n + 3*n. Suppose k = -2*k + m. Let f(c) = 3*c + 1 - 5*c + 1. Give f(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22140 + 5?\nAnswer: 22145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 139031107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i\/i**(-2)))*i)**(9\/4)\/(i**(11\/5)*i*(((i\/(i**(-10)\/i))\/i)\/i)\/i) assuming i is positive.\nAnswer: i**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 3544*m**2 + 13872*m + 211680.\nAnswer: 4*(m - 882)*(m - 10)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 + 4*i + 3. Let u be h(-2). Let m be ((1 - 0) + (-16)\/32)*0. Let t be (15\/2)\/(-5)*(-2 + m). Solve -t*x + 8 = -u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 6*j - 2 - 2, 0 = 2*j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((0 + 2)\/2). Suppose 191*a + 442 = 225*a. What is the second derivative of -a*p**u - 22*p + 4*p**4 + 48*p**4 wrt p?\nAnswer: 468*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2490215, -4980435, -7470655, -9960875, -12451095, -14941315?\nAnswer: -17431535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -7*l + 5*l. Calculate the remainder when 85 is divided by l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -3*k - m, 0*k + k = 4*m + 53. Let n = -27 + k. Calculate the lowest common multiple of 16 and n.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 21, -3, 1, 0.1, 4 in decreasing order.\nAnswer: 21, 4, 1, 0.1, -0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b. Let w = -9573 - -9573. Let u(v) be the second derivative of -2\/3*v**3 + 0 + w*v**2 - 19*v. Calculate -5*a(k) + 4*u(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -248 - -233. Let v(s) = 12*s. Let m be v(-1). Let h be (-16)\/m*84\/(-8). Which is smaller: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**4 + 0*c**4 + 4*c**4)*(-c + 5*c - 3*c) + (25*c - 4*c**4 - 25*c)*(2*c + 0*c - 4*c).\nAnswer: 7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**6\/720 - y**4\/3 - 3*y. Let s(q) be the third derivative of j(q). Let h(z) = -3*z. Determine s(h(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0483 and -1.6848.\nAnswer: -0.08137584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5950 + 7498. Is c at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzzyyyzzzyyyyzyyyy. What is prob of picking 2 z?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 346 and 3194?\nAnswer: 552562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + 2*y + 5*y as s*y + o and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + 0.03. Let d = 0.11 + r. Let w = 0.65 + 0.05. Which is the second smallest value? (a) 2 (b) w (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**3 + 0*r**3 + 23*r**3)*(-3 + 0 + 2*r - r) + 3*r - r**4 - 3*r to h + f*r**2 + u*r + i*r**4 + o*r**3 and give o.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g**3 - 72*g**2 + 75\/4*g**4 + 60*g - 12 = 0. Calculate g.\nAnswer: -2, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 11:57 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 11:13 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 14*u**2 - u + 20. Let s be f(14). Let g = 50 - 27. What is the derivative of -g*l - s*l + 7 + 14*l wrt l?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 0*p**3 + 0*p**4 + 0 + 1\/4*p**5 + 3*p + 5\/2*p**2. Differentiate w(k) with respect to k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42424.4 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1368) + 2*1*sqrt(1368) - ((sqrt(1368) - -2*sqrt(1368)) + sqrt(1368) - sqrt(1368))*-5)\/(-1*sqrt(162)*-2*-2).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 10. Let k be i(-3). Suppose -29 = 6*f - k*f. Suppose 4*v + 313 = 1241. Calculate the highest common divisor of f and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + l**4 + 3*l**2 - 206*l**3 + 206*l**3 to the form w*l**4 + q*l + y + n*l**3 + a*l**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3033 + -33?\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 133477736 to the power of 1\/2, to the nearest integer?\nAnswer: 11553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 8*j - 9. Let c be i(6). Solve -2*z = -7*z - 25, -2*h + c*z + 17 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66.5 + 292.5. Let j = 358.6 - k. Put 4\/11, 1\/6, j, 3 in decreasing order.\nAnswer: 3, 4\/11, 1\/6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5017724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -v - 6. Suppose 0 = v*l + 3*a - 3, 2*a - 3*a = -4*l + 13. Solve -4*i + 26 = -0*i - 3*n, -25 = -l*i + 5*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-12)*(-24)\/(-60)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(4\/13)*s\/((s**10\/s)\/s)*s assuming s is positive.\nAnswer: s**(-74\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 13*l**2 + 13*l - 9. Suppose 4*w + 12 = 5*w. Let u be b(w). Suppose s - 5 = -0*s. Solve 0 = c - o + 3, -s*c + u*o = o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.0086, 1\/2, 0.3, -501, -9\/14?\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.8 (b) -5 (c) 12598\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 0 - 2) + 14 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18513.48 * -14\nAnswer: -259188.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48519989 and 1451?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -37. Suppose -3*n = n - q*p, -5*n - 5*p - 30 = 0. Let o be n\/(-8) + (-60)\/(-16). Solve o*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k + 47. Suppose 0 = q + 3*o - 5 + 1, 0 = 4*q - 4*o - 16. Suppose -80 = 8*t - q*t. Let c be n(t). What is the highest common factor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7592 and 36296.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1148 and 59\/2296?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -21*z**2 + 11*z - 14. Let u(g) = 63*g**2 - 32*g + 39. Let h(x) = 6*u(x) + 17*v(x). Calculate the least common multiple of h(-1) and 748.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*l = 361*l - 11480. Suppose -12916 = -18*m - l. What are the prime factors of m?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(1\/3)))**(19\/4)*((g*g\/(g\/g**1*g*g))\/g)**(6\/5) assuming g is positive.\nAnswer: g**(23\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, -0.5, -2, 1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 121*s**3 - s**2 - s + 2. Let m be o(1). Suppose -p + m = x, 4*x - 4*p + 127 - 627 = 0. List the prime factors of x.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5156794 * 6.\nAnswer: -3.0940764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 6603\/4 and 1651 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2939204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 296 + 327 + 2*f**2 - 3*f**2. Let k be v(6). Let i be (-4)\/6*6\/(-8). Which is the third biggest value? (a) -1\/3 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 400733?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*s - 1777 - 984, -2*b = 5*s + 2764. Sort 5, 2\/5, s, 3 in increasing order.\nAnswer: s, 2\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = -0. Let m be q\/(((-2)\/(-3))\/(-2)). Let x = -85 - -511\/6. Which is the second biggest value? (a) m (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 + -19)\/(1 + -4 + 5). Let z = -1 + -2. Which is the closest to 0.4? (a) z (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -5\/21*w**7 + 0*w**6 + 0*w**4 + 0 + 7\/3*w**3 + 6*w + 0*w**2 + 0*w**5. What is the second derivative of z(i) wrt i?\nAnswer: -200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/414831 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 13*w**2 - 8*w + 92. Let m(y) = -19*y**2 + 12*y - 136. Let c(h) = 8*l(h) + 5*m(h). What is the remainder when c(6) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5179\/12068 + -1\/1724. Which is the fourth smallest value? (a) y (b) 9 (c) -57 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11782408 and 110780.\nAnswer: 1708449160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 9:59 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-952)\/612)\/((-2)\/18)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 10 = 2*j, -54 + 59 = j + 3*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 - 8*a**3 - 22*a**2 + 132*a - 144.\nAnswer: 2*(a - 3)**2*(a - 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -14688.1 to the nearest one hundred.\nAnswer: -14700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/((u*u*u*u**4)\/u))\/u)*u**4*u)\/(u*u\/((u*u\/(u*u**(2\/5)))\/u))**14 assuming u is positive.\nAnswer: u**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221200022 + -11220?\nAnswer: -221212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -504 times 2\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 - 23*o**2 + 50*o - 423. Let g be r(11). Sort g, -142, 1 in ascending order.\nAnswer: -142, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1744973\/5 or -0.5?\nAnswer: -1744973\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9168.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 10*v**2 + 8*v - 3. Let g be l(5). Which is smaller: g or 862\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, k: 5}. What is prob of sequence kkk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-19 + 7 + -11 + 39 - (1 - -12)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40243 (base 9) in base 16?\nAnswer: -674d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -d - 40. Calculate the lowest common multiple of d and ((-16)\/28)\/4 + 30\/14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19025\/2 + 9513. Let q = 0.3 - 0. Let k = 1\/3 + 1\/6. Which is the closest to k? (a) q (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33 + 6095?\nAnswer: 6062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -588 or -2351\/4?\nAnswer: -2351\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0*y**4 - 4*y + 0*y**6 + 0 + 0*y**2 + 1\/2*y**3 + 0*y**5 + 5\/42*y**7. What is the second derivative of p(t) wrt t?\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1.917, -3, -37.6.\nAnswer: -37.6, -3, -1.917, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2648.85077 rounded to one dp?\nAnswer: -2648.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -7*h**5\/20 - h**4\/12 + h**3\/3 - h**2\/2 - 3*h - 130. What is i(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 6:48 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nspp when four letters picked without replacement from pspppnmsp?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.505 and -6.3.\nAnswer: 34.6815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + l + 3. Let u be v(3). Let i = 4 + u. Let q = -6684\/17 + 80191\/204. Is q not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 2 = -3*y. Let n(k) = -4*k + 0 + y*k**2 + 2 + 2 + 1. Let a(d) = d**2 - d + 1. Let m(g) = 6*a(g) - n(g). Give m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -136415590 - -2?\nAnswer: -136415588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - y**2 - 4*y. What are the prime factors of t(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - z**2 + z + 17. Let o be j(0). Let i = 15 - o. Which is the smallest value? (a) -3 (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (-18 - (-33 + -18))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-45))\/((-12)\/(-60)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1925 and 3285106.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 15*y**3 - 61*y**2 + 5*y - 4. Let i be t(4). Solve 2*v = 3*v + 3*z + 16, i = 4*v + 6*z + 34 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*n + 4560 = -26*n. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*i + 7 = -4*s, 5*i - 6 = -4*s. Let d be (s + -1)\/((-4)\/16). Is (2 + -6)*(-66)\/d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 5\/12*d**4 - 2\/3*d**3 + 7*d - 2*d**2 + 0. Let c(m) = 6*m**2 - 5*m - 5. Calculate -2*c(s) + 3*u(s).\nAnswer: 3*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 244*a*r**3*u + a*r**2*u - 8*a*r*u + r**3*u + 6*r**3 - 222*r**2*u + 3*r wrt r?\nAnswer: 1464*a*u + 6*u + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -14*r**2 - 59*r - 71. Let t(f) = 5*f**2 + 20*f + 24. Let j(n) = -6*m(n) - 17*t(n). Let d be j(15). Is (-5)\/20 + 27171\/12 + d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**4\/42 - c**3\/21 + 2*c**2\/7 - 20*c + 2. Let k(i) be the first derivative of a(i). Factor k(b).\nAnswer: -2*(b - 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5746027 is divided by 1915278.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1032\/5 - -419\/2. Find the common denominator of g and ((945\/(-12))\/(-5))\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1286, 2792, 4298, 5804?\n\"Answer: 1506*d - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7 - 3 + 688*k**3 - 98*k**2 + 67*k - 64*k - 2 + 3*k wrt k.\nAnswer: 4128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 + 11*w**2 + 5*w - 10. Let u(d) = -2*d**3 - 10*d**2 - 4*d + 9. Let k(r) = -2*g(r) - 3*u(r). Let x be k(-3). Solve x*j = 4*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-4)\/20*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43454 bigger than 43451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 18. Calculate the least common multiple of u and 26\/7 + 2\/7.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14149638551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198071?\nAnswer: 41, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 35.8. Let b = -16.2 + m. Let i = b - -17. Put -4\/9, -0.1, i in descending order.\nAnswer: -0.1, -4\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1209065 divided by -209?\nAnswer: 5785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4118 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-1*(-4 + 0 + 3)). Suppose x = -6*y - 2*y + 96. Let n(s) = 3*s + 12. Let d(j) = -1. Give y*d(m) + n(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 3*d - 80. Is (4\/(-4))\/((-2)\/d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = 3*x + 4*g, 0 = 2*x + g - 2. Let h be 1728\/270*15\/12. Solve h = -0*m - 3*m + i, -x = i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 156*w**2 - 48*w - 107. List the prime factors of l(-16).\nAnswer: 40597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 2 y when four letters picked without replacement from {b: 3, k: 1, n: 3, y: 2, w: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 262 - 262 - 25*n as z + h*n and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25 * -0.01745\nAnswer: -0.43625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716*d + 241*d - 12967 = 13158 for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 45*x - 1187. Give a(30).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u + 4*u - 1430. What is the second derivative of -4 - 5*i - 60*i**5 - 110*i**2 + u*i**2 wrt i?\nAnswer: -1200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15338454 or 15338456?\nAnswer: 15338456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*q - 205*q - 202*q - 209*q + 827*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 7*b**2 + b - 10. Suppose 3*k + 3*u + 36 = 0, -6*u + 7*u = -4. Calculate v(k).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 4 = 2*m - 14*p, 0 = m + 4*p + 4. Suppose h - 3 - 3 = -2*o, m*h = 0. What is the lowest common multiple of o and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(171) - (sqrt(171) + (sqrt(171)*-2 - sqrt(171)))))\/sqrt(3))\/((sqrt(75) - sqrt(75)*-1) + (sqrt(30)\/sqrt(2))\/sqrt(5)).\nAnswer: -6*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 19*l + 105 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3480\/(-750))\/(-58)*50\/170?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/54 - 13366\/(-1107). Suppose -21 = -n*p + 111. Calculate the remainder when 124 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 240590\/3 or 80198?\nAnswer: 80198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 145, 480, 1287, 2770, 5133, 8580, 13315, 19542?\n\"Answer: 34*d**3 + 32*d**2 + d + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -23245366 equal to -23245367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1593*u*y + 47409152*u - 1365*y with respect to y.\nAnswer: 1593*u - 1365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*h + 5*h + 9126. Calculate the greatest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -3\/7*m**2 + 2\/7*m - 2 + 2\/7*m**3 - 1\/14*m**4. Factor o(r).\nAnswer: -2*(r - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3140668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -185*v + 13. Let s be w(0). Solve 0 = -3*f - 4*c + 21, -5*f - c + 5 + s = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1630308 + 1630291.20189. Let v = -16.8 - x. Round v to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -1) + -5 + (-9 - -21). Suppose -3*y - 50 = -41, 2*l = 2*y + s. Solve l*b = -24 + 26 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/6 + 6\/36*-1. Let u(w) be the third derivative of r - 1\/90*w**5 + 0*w + 1\/36*w**4 + 0*w**3 - w**2. Factor u(n).\nAnswer: -2*n*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/33)\/i*((i**(-9)\/i)\/i)\/i*(i**(-2))**(-7))**(1\/23))**(-2\/35) assuming i is positive.\nAnswer: i**(-62\/26565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -36879.279 rounded to the nearest one thousand?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 6*l - 5. Calculate f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/5222880 and 61\/68445?\nAnswer: 67897440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 302, 1354, 3114, 5582, 8758?\n\"Answer: 354*h**2 - 10*h - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 + 168.963?\nAnswer: 284.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 6 + 26. Suppose -3*g = 4*h + t, 0 = -6*g + 2*g - h + 15. Which is the third smallest value? (a) -3 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a factor of 1434804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -7 - (-21 + 12) - -10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-5 + 4 + 12). Let g(t) = -t**3 - 12*t**2 - 11*t + 5. Let v be g(j). Differentiate v + 15 - 15*r + 48*r wrt r.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (114\/(-18))\/(2\/(-6)). Suppose 16*s = m*s. Solve s = 5*u + 5*h + 20, u + 0*u + 5*h = -24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -21. Suppose -212 - 178 = -v*s. Let o = s - 80. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 24 = -27*t. Suppose 2*n + 3*n = -3*w + 101, n = w + 17. Calculate the remainder when n is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185358.\nAnswer: 2, 3, 30893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddwddydwwwywddd. What is prob of sequence ddw?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52180410 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 12 - 54. What is the remainder when 142 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/16*-10*520\/300.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14771 = c - 14769, 2*k + 2*c = -12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46122 + 46122 + 58*b.\nAnswer: 58*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1082*v + 2811. Give n(-4).\nAnswer: -1517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 0*p + 2*p**2 + 0*p**4 + 0*p**3 + 0 + 1\/60*p**5. Let f(k) = -11*k. What is f(v(t))?\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l**2 - 15*l + 180. Let m(v) = v**2 - 2*v + 24. Let d(f) = -4*b(f) + 30*m(f). Let o(h) = -2*h - 3039. Give o(d(u)).\nAnswer: 4*u**2 - 3039","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -32521 - -780641\/24. Find the common denominator of s and -86\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100111 (base 2) to base 7\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 948.71914 to the nearest integer.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.259 - -121.259. Let l = -121.46 + t. What is l rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 106, 117, 132?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:18 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 - 6*i + 10. Calculate l(-5).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1757.\nAnswer: 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055665363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31005 is divided by 223.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*n - 24*n + 10*n)*(5*n**3 - 2*n**3 + 2*n**3) - 3*n**4 + 2*n**4 + 0*n**4 to the form q*n + k*n**2 + t*n**4 + g + o*n**3 and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/35 + (-2)\/5. Sort -3, 2, s in ascending order.\nAnswer: -3, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 4*x + 3*z, 0 = 2*z + 5 - 13. Suppose 0 = -6*n + 3*n + x. Suppose -20 = -2*r + n. Calculate the remainder when r is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/12 - (-103)\/(-3). Let o(w) = 95*w + 35. Let a(h) = -8*h - 3. Let f(v) = x*a(v) - 3*o(v). Let d(u) = -u. Calculate f(d(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i. Let u(c) = -3*c - 22. Let g be u(-8). Let n(a) = 22*a**2 + 23*a**2 - a**g. Give n(k(z)).\nAnswer: 176*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 249 - 798?\nAnswer: -54e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 4, k: 6, o: 1, y: 4}. Give prob of picking 1 k and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 13*y**2 + 74*y - 106. Let h be b(17). What is h rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 508 - 503. Let w(h) = 52*h**3 - 13*h**2 + 17*h + 108. Let y(q) = 13*q**3 - 3*q**2 + 4*q + 27. Let x(t) = -2*w(t) + 9*y(t). Is x(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234.7 - 76.73.\nAnswer: -311.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = i - 0*h - 39, 2*i - 93 = 5*h. Suppose 4*x + x - 60 = 5*l, 0 = 2*x + l - 24. What is the remainder when i is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-883)\/(-2) + (-6)\/4. Suppose -4*n + 88 + 66 = 2*o, 0 = 5*o - n - l. Suppose -5*a = -g - 4*g - 125, 3*g - o = -3*a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 14 = r + 4 + 6, 4*d + 777 = 70*d - 5*r for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-27)*3*-9. Solve -2*m + h = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 448 = -140. Let b = 58 - n. What is the remainder when 26 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 16 + 0 = 0. Let h(b) = 11*b + 4. Let g(n) be the third derivative of 1\/3*n**3 + 0 + 51*n**2 + 0*n + 5\/24*n**4. Calculate d*h(s) + 9*g(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (604 - 630) + (13 - (-10 - -79))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 141\/4*z**2 - 19\/4*z**3 - 225\/4*z - 1\/4*z**4 + 0.\nAnswer: -z*(z - 3)**2*(z + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5485 divided by -1097?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 8*m = -5*m - 45, -3*m = -5*b + 43 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -12*d. Let r(o) be the second derivative of -o**4\/3 - 4*o - 14. Determine r(k(i)).\nAnswer: -576*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -109*m - 9 - 212*m - 39*m. Is 27 a factor of w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -0.1 (b) -2\/3 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348162984.\nAnswer: 2, 3, 13, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by -21.\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 9048*g. Let l(d) = -d**2 + 15. What is l(s(r))?\nAnswer: -81866304*r**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffl when four letters picked without replacement from {l: 4, f: 14}.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2335? (a) -0.06 (b) 9 (c) -3 (d) 0.5 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 161 = 39. Let n be 12\/(-2 - -6) + 16. Let w = n + s. Is 0.1 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 65 = -3*f + 8*f, -3*f = t + 17. Let k be 64\/10 - 12\/t. Solve 2*x = k*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 6 - 28)*(54 - 54 - 25*c).\nAnswer: 1150*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 185 + 368. Let n = 126 - o. What is n rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, k: 2, i: 1, u: 2, a: 8}. What is prob of picking 3 a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9644\/(-2411)*(1\/(-4))\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48233964 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*i + 2*i. Let q(j) be the first derivative of -1\/2*j**4 - 2 + 0*j**2 - 1\/3*j**3 + i*j. Find the third derivative of q(u) wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/(16\/20).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -944 divided by -10.\nAnswer: 472\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067146 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 6*m - 6 = 0. Let d(f) be the second derivative of 1\/24*f**3 - f - 1\/48*f**4 + 0*f**m + 0. Factor d(h).\nAnswer: -h*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u + 47. Let n be s(9). Calculate the highest common factor of n and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 26 (b) 27\/4 (c) 0.4 (d) -1\/7 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 10*l**2 + 2*l - 2. What is the remainder when 68 is divided by b(10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*a**2 - 335427090*a - 83856775 = 0. Calculate a.\nAnswer: -1\/4, 16771355\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 663 and 1195729.2.\nAnswer: 1196392.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*v - 1747, -2*q + 4*q - 1148 = -2*v. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91558300?\nAnswer: 2, 5, 97, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10883 is divided by 3239.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.1 (c) -0.5 (d) -112 (e) -0.08 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26510853*w**4 - w**3 - 81*w**2 + 7422*w?\nAnswer: -636260472*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.218 and 2.917.\nAnswer: 0.635906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 11*u - 5. Determine p(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 886*x**2 + 5*x + 824. Let t(z) = -3*z**2 + z - 7. Let r(k) = -3*d(k) + 15*t(k). What is the first derivative of r(g) wrt g?\nAnswer: -5406*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**4\/24 + 4*x**3\/3 + x**2. Let s = 14 + -9. What are the prime factors of h(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5536082567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1051.247 and 1.\nAnswer: 1051.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wekxkxkgekgxwwew. Give prob of sequence wke.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 216313.6681 - -155.8.\nAnswer: 216469.4681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4029998*q**2 + 2*q - 6. Let p be x(-3). Let t be 10\/15 - p\/9. Round t to the nearest 100000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -33*q**2 - 5. Let h be k(5). Let s be (-1 - 2)\/3 - h. Suppose -2*r + s = -633. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16520200 to the nearest 100000.\nAnswer: -16500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1724057089 to the power of 1\/2, to the nearest integer?\nAnswer: 41522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 4, 8, 3, -57.\nAnswer: -57, -8, -2, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**4\/24 + j**3\/6 - 4*j**2. Let o(k) = -47*k - 2. Let w(i) = -5*l(i) + o(i). Is w(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/3 (b) 1 (c) -18.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 851385*y - 338376018.\nAnswer: -3*(y + 398)*(y + 283397)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-26) - (4620\/195)\/(-11). Let z = -42 - -64. Calculate the remainder when 21 is divided by z\/(-33)*(-27)\/w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30461630 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/(-48))\/(3\/9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/5)*n)**(-5)*(n**(-2\/5))**(-2\/79) assuming n is positive.\nAnswer: n**(-786\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -46, -50, -54, -58, -62?\n\"Answer: -4*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -5 + 14 + -44 + 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 10*i**2 + 15*i - 7. Let a be n(12). Let v be 3\/((-90)\/a) + -4. Sort 1.6, v, 1 in ascending order.\nAnswer: v, 1, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43596.22ml to litres.\nAnswer: 43.59622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4947809396?\nAnswer: 2, 89, 13898341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16108 or -79\/7?\nAnswer: 16108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bifivbyvyybbfbi. What is prob of picking 1 y, 1 b, 1 i, and 1 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 7 - 1)*(1 + 5 - 5) - 32 - 49 - 44)*(g + 2*g - 6*g)*(-1 + 1 + 2*g**2) in the form v*g**2 + n*g + b*g**3 + r and give b.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**3 - 237036*m**2 + 1612*m wrt m.\nAnswer: 6*m - 474072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 960775.1 decades in millennia?\nAnswer: 9607.751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 0, 362 in increasing order.\nAnswer: -5, 0, 2, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1162, 2329, 3496?\nAnswer: 4663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -150 - -7?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141*r + 807*r - 304*r - 133*r)*(-5 + 1 + 2)*(1 + 0 + 5)*(-2 + 4 - 3).\nAnswer: 6132*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13757822?\nAnswer: 2, 13, 353, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.482 (b) -2 (c) -0.4 (d) -0.5 (e) -0.0682\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1146*g + 1151*g + 76 = -71*p, -3*g = 4*p + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 28*w. Let x be t(-14). Suppose 6*k - 215 - 25 = x. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 10*p - 3. What is i(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from vcscssttctvttvtnsn.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1))\/m)**(4\/11)\/(m**5\/m**(-1\/5)) assuming m is positive.\nAnswer: m**(-266\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 547 - 545. Let x = 31 - 31. Solve v*n + x*b - 6 = b, -15 = n - 5*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82192900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*f + t + 8, -3*t = 0. Find the second derivative of -f*i**2 + 4*i**2 - 8*i**2 + i wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (44\/8)\/((-4)\/(-16)). Suppose 6*j - 5*j + z = 0. Let i = j - -36. What is the remainder when i is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 961592650 to the nearest integer?\nAnswer: 31010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjwk when four letters picked without replacement from kffkvkjjwfmjfffjkjkm.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + a**2 + 10. Let d be j(0). Suppose 3*b - 4 = -4*f, 4*b + f = b + d. What is the second derivative of 2*z + 3*z**4 - 2*z**b + z**4 wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/560)\/((-2)\/24)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 0.1 (c) 230\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 499949 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427800982 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**3 - 2878887*s**2 + 2071999029135*s - 2071996150249 = 0.\nAnswer: 1, 1439443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/17425 or -1?\nAnswer: 1\/17425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -36*(-18)\/216*30\/165?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, 90\/127, -0.4, 4, 1, -150?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -27, -83, -181, -333, -551, -847?\nAnswer: -1233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 48 = -k, 2*k + 5*v - 56 = 79. What is the highest common factor of 36 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -x, -x + 12 - 33 = -5*v. Suppose -v*n + 2*b + 9 = -3*n, -3*n - 4*b = -7. Solve -3*q - 4*z + 4 = -4, -n*q - z + 2 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 13*h + 13. Let i be t(-7). Let u(b) = b**3 + 9*b**2 - 11*b + 25. Is u(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -7188\nAnswer: -3\/2396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140437712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47 and 2384647?\nAnswer: 112078409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*l)*(186 + 43 + 283).\nAnswer: 1024*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 299860 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**3 - 4*z**2 - 3. Let a(b) = -6*b**3 - 5*b**2 + b - 4. Let j = -593 + 597. What is j*c(n) - 3*a(n)?\nAnswer: -2*n**3 - n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -3. Let m = 772.7 + -774.7. What is the closest to 1 in -1, m, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 26*t**2 - 62*t + 93. Calculate p(9).\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*i - 536*i**2 - 15*i + 589*i**2 - 10764*i**2)*(-1 + 1 + 2) to the form c*i**2 + y*i + k and give c.\nAnswer: -21422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2. Let p(r) be the third derivative of 3\/2*r**3 + 24*r**2 + 0 - 1\/12*r**4 + 0*r. Calculate m(p(b)).\nAnswer: 8*b**2 - 72*b + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654772485.\nAnswer: 3, 5, 5639, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7169890 rounded to the nearest 100000?\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = l, -5*s = 3*l - 31 + 3. Suppose -s*a + 26498 = 2*j, 5*j + 3*a = 2*j + 39765. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 131533, 5 in increasing order.\nAnswer: -8, 5, 131533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 116*o**3 + 4*o**2 + 5*o + 6. Let b(i) = -116*i**3 - 4*i**2 - 6*i - 7. What is -5*b(w) - 6*j(w)?\nAnswer: -116*w**3 - 4*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5051 bigger than -5061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.299, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**3 - 58*b**3 + 321*b**2 + 41*b**2.\nAnswer: -63*b**3 + 362*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*n**2*r - 55*n**2 + 2*n*r*z + r*z**2 + z**2 wrt r?\nAnswer: -14*n**2 + 2*n*z + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 5:44 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 185\/798 and -101\/4.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20880 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5))**(1\/10)\/(n**(1\/4)*n*n**4*n) assuming n is positive.\nAnswer: n**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4126161?\nAnswer: 3, 13, 241, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22383 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65522*k**3 - 5146554*k**2 - 88077600*k - 433485000.\nAnswer: -2*(k + 57)*(181*k + 1950)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p**7*p))\/(p\/((((p\/((p\/(p**(-2\/13)*p))\/p))\/p)\/p)\/p*p)*p)*p*p\/p**(1\/6)*p*p**(-3) assuming p is positive.\nAnswer: p**(-571\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 0.1. Let v(y) = y**3 - 11*y**2 - y + 14. Let f be v(11). Let g = 0.0127 + -0.1127. Which is the nearest to g? (a) f (b) t (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*-1*6)\/(2*sqrt(539)).\nAnswer: -3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10189850 divided by -22.\nAnswer: -463175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3174 divided by -46.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 169 + -161 + (960\/(-159) - 2).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/460 and -13\/230?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 6987040*w**2 - 279475600*w + 2794736000.\nAnswer: -5*(w - 1397368)*(w - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 3*d**3 - 7*d**2\/2 + 15*d + 190. Suppose -g - 28 = -5*g. Is v(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105737529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 2:44 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11789193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -75 (b) -2\/7 (c) -9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3778941391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3 + 3)*(-5*u + 244 - 244).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 31 = -4*g, 5*g - 9*v - 8*v - 7 = -13*v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15626 - 15624. Let c(q) be the first derivative of q**2\/2 + q - 1. Calculate c(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 (base 13) in base 15?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-9) - 332\/(-36). Let b = -35 + 49. What is the remainder when (-2)\/(-6) + 231\/n is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 978 = 6*h. Suppose h = 8*a - 5. Solve 4*d = r - 0*d - 3, 3*d = -3*r - a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 7:28 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.441 minus 1?\nAnswer: -27.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 13*r**2 - 8*r - 79. Give h(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69730 by 13946.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -2\/3*n**3 - 3*n + 3*n**2 - 8. Let s(a) = a**2 - 5*a + 2. Determine 3*k(i) + 4*s(i).\nAnswer: -2*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 + -7334?\nAnswer: -7348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 greater than or equal to -380168.69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/11 + 646148*r\/11 - 52188404738\/11 = 0 for r.\nAnswer: 161537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/18*(-3)\/48*6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-85)*(-255)\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 135 = 2*p. Let u = p + -91\/6. Let j = 0.14 + -0.1. Which is the smallest value? (a) j (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3517 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*s - 3*s - 1 + (0 + 2 - 1)*(-s + 2*s + s) + s + 2 - 2.\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 9*n**2 + 8*n + 5. Let x be c(-8). Solve -x*i + 5*s - 25 = 0, 4*s = -8*i + 4*i - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -746*t**2 - 46*t + 3 + 1 + 747*t**2 in the form u*t + j*t**2 + i and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2529, 5, 0, -6, 4 in increasing order.\nAnswer: -2529, -6, -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + (-68)\/16)\/(4\/16). Calculate the remainder when ((-2)\/(-4 - -5))\/i - -122 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 83, 665, 2243, 5315, 10379?\n\"Answer: 83*d**3 + d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 5701 = -5666. What is the nearest to -1 in j, 0.3, 2, 4\/173?\nAnswer: 4\/173","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*1 + sqrt(126) + sqrt(126))\/sqrt(6))\/(sqrt(343)*-1).\nAnswer: -3*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1\/4 (c) 874 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3004484784.\nAnswer: 2, 3, 7, 31, 89, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**2*j**4 + 7*f**2*j**3 - f**2*j**2 + 16*f + 110*j**4 - 13*j**2 wrt j.\nAnswer: -48*f**2*j + 42*f**2 + 2640*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -28. Let v(y) be the first derivative of y**5\/60 - y**4\/24 + y**3\/2 - y**2\/2 - 1. Let a(i) be the second derivative of v(i). Determine a(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*n**2 + 5 + (-3*n**2 - n + n)*(-1 + 1 + 2) - 131*n**2 - 120*n**2 + 17*n**2 + (-2*n + 3*n - 3*n)*(3 - 3 - n) to g*n + y*n**2 + o and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 23. Let u = -50 + 36. Let f be p(u). Determine j, given that 3*j**3 + 2*j**4 + 0 + 1\/2*j**f + 2*j**2 + 1\/2*j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -279, 0.4, 0.11, 11 in descending order.\nAnswer: 11, 0.4, 0.11, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 0 (c) 0.02 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3.4. Suppose 0 = -4*a - n - 3, 0*n = 3*a - 4*n + 7. Let h be 3 + (1 - a)\/2. What is the nearest to -0.1 in c, -5, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3212690 rounded to the nearest 1000?\nAnswer: 3213000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/37 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 748 + -660. Calculate the greatest common factor of m and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*f**2 + 79 - 8*f**4 + 5*f**4 + 2*f**4 - f**2 with respect to f.\nAnswer: -4*f**3 - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 7590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2184 is divided by 722?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 75?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, 12, 27, 48, 75, 108?\n\"Answer: 3*h**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 15) to base 5\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6247 to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -13\/15 (c) -3\/7 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -a - 1120, -2240 = -27*r + 23*r - 5*a. Solve r*x = 547*x - 65 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + -117. Let f = 33 + j. Let p(t) = -t**3 - 9*t**2 - 7*t + 11. Let b be p(-8). What is the highest common factor of b and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1935427.6 to the nearest ten thousand.\nAnswer: 1940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*k - 469 = 1691 + 672 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178250876.\nAnswer: 2, 44562719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 13. Let f = -6.846 - 0.164. Let k = 3.01 + f. Sort 6, c, k in ascending order.\nAnswer: c, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**5 + 124*s**4 + 12*s**3 - 380*s**2 + 248*s = 0 for s.\nAnswer: -2, 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2981373 - 1.\nAnswer: -2981374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.03 + -0.03. Let h be 6\/(-5)*(-10)\/8. Let w = 12 + -7. What is the closest to -0.5 in w, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 619\/2 + -300. Suppose 52 = -4*p + 5*f, 5*p - f = -2*f - 36. Let c = p + q. Is 2 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.7 + 0.9. Let d = 35.6 - i. Let w = 1507\/70 - 108\/5. What is the closest to d in 0.2, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 21*f = 60. Suppose f*h = 16*h - 16. Is 15 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -13*h**2. Let f(y) = 7*y - 6*y - 1 + 1. Let c(o) = o. Let s(x) = 8*c(x) - 5*f(x). What is s(u(v))?\nAnswer: -39*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.6889+5363\nAnswer: 5362.3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5672*p**2 - 36*p - 24. Let o be q(-1). Calculate the greatest common factor of 87 and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**4\/4 - d**3\/2 + 6*d**2. Differentiate f(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 0*d**4 + 0 - 5*d + 0*d**3 + 1\/135*d**6 + 0*d**2 + 1\/90*d**5. Suppose g(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (4\/6)\/((-1)\/(-39))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ntt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 19 = -11*a. Let k(z) = 14*z**2 + z. Let b be k(-1). Let i be (-1)\/(2 + b\/(-4)). Which is smaller: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 44\/5 of a meter?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-22) - 1*(-2)\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 19 - d + 4*d**2 + 26 in the form u + q*d**2 + f*d and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40650000 rounded to the nearest one hundred thousand?\nAnswer: 40700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(11) + ((sqrt(99) + 1)**2 + sqrt(11) - sqrt(11))) + 3 + -3 + sqrt(88)\/sqrt(8) + 0 + -1.\nAnswer: -201 - 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/25))**(-45)\/(b\/(b*b**12))**(1\/51) assuming b is positive.\nAnswer: b**(326\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202 by 126.\nAnswer: -101\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 + 3*n**3 + 3586*n + 4 + 16*n**2 - 3571*n. What is o(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**4\/12 + 232*f**3\/3 - f**2 + 3351. Let j(k) = -k. What is j(t(v))?\nAnswer: 2*v - 464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -22) + -28 + (19 - -4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + 1 - 1)*(10 + 9 - 23) as f*t + l and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56855.\nAnswer: 5, 83, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 - -2.9. Let g = -21.2 - -21. Which is smaller: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 163*u**4\/12 - u**3\/6 - 337*u**2 - 674*u. What is the derivative of c(a) wrt a?\nAnswer: 326*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -l + 16, -2*l - 8 = 2*i - 20. Suppose 0 = -v + i*m + 10 + 25, 0 = -v + 3*m + 25. Let c(j) = j**3 - 9*j**2 - 10*j + 1. Calculate c(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121014 (base 6) to base 8\nAnswer: 24542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163 + 638 + 27)*(-153 - 3*r + 79*r + 153).\nAnswer: 62928*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 4*g**2 - 17*g + 5. Determine s(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20, -103, -340, -809, -1588, -2755, -4388?\n\"Answer: -13*v**3 + v**2 + 5*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1731 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 5*o - 24. Suppose 4*r = 2*k + 2*k + 216, 2*k + 10 = 0. Let b = -36 + r. Calculate the remainder when b is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 10*v**2 + 8*v. Let i be t(-9). Suppose -6*x + i*x - 54 = 0. What is the remainder when 32 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/(-748))\/(19\/(-10868)*-559)?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*x + 6 = 1, 2*f = 2*x + 8. Let u(t) = t + 2*t + f*t**2 + 2 - 2*t**2. Calculate u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**6\/x)\/x)\/x**(-2\/7))**(-14\/5)\/(x*(x*(x*x\/(((x\/(x**(-1\/7)*x))\/x*x*x)\/x))\/x*x*x)\/x*x*x**(-2\/5))**(-20) assuming x is positive.\nAnswer: x**(540\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -42663 times 1\nAnswer: -42663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7270.\nAnswer: 2, 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(3\/10)*l*l)))\/l**(1\/40)*l\/((l*((l**(26\/5)\/l)\/l)\/l)\/l*l)*l**(-21)\/l)**4 assuming l is positive.\nAnswer: l**(-877\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -114. Let r = 61 - v. Put r, 5, -1\/8, 1\/6 in decreasing order.\nAnswer: 5, 1\/6, -1\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141579749 to the power of 1\/2, to the nearest integer?\nAnswer: 11899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -6)*(-13 + (24 - 15))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**5\/15 + 2*n**3\/3 - n**2\/2 - 3*n. Let b(t) be the first derivative of w(t). Differentiate b(q) wrt q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2 + 6*i - 4 + 0 + 1. Suppose -7*y + 28 = -3*y. Is h(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*f - 1. Let n be 18\/45 - -3*f\/(-30). Solve u - 1 = -n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1026 by 3.\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-1122)\/(-162))*-24 - -2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -3, -15, -10, -20 in descending order.\nAnswer: 0, -1, -3, -10, -15, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 208, 219, 252, 319, 432?\n\"Answer: 2*i**3 - i**2 + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29674, 59409, 89202, 119059, 148986?\nAnswer: 178989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 45186 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123532?\nAnswer: 2, 89, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 12*o**3 + 84*o**2 - 17*o - 109. Determine g(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-62)\/(-4) - 4\/(-8). Suppose 5*i = 4*i + n. Suppose -4*h = -2*h - i. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13029 is divided by 1017?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**4\/6 + 37*g**3\/6 - 20*g**2 + 5*g. What are the prime factors of d(-26)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**3 + 2*v**3 - v**3 + (v - 10*v + 2*v)*(-5*v**2 - 7*v**2 + 5*v**2).\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 288\/1410*10) + -3. Sort -2\/5, 0.3, 0.4, h, 1.\nAnswer: -2\/5, h, 0.3, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from iiivvvziivz?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/6 - 736*p**2\/3 + 176086*p\/3 - 1361840\/3.\nAnswer: (p - 1174)*(p - 290)*(p - 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 198*v - 203*v**2 - 84 - 198*v.\nAnswer: -203*v**2 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 471 + -473.686. Let p = -0.604 + y. Let s = p + 3.2900191. Round s to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7065 - 7063. Let w(x) be the second derivative of 11*x + 0 + 1\/2*x**3 + x**k + 1\/12*x**4. Factor w(g).\nAnswer: (g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34503.88517 - 35639.878. Let s = h - -1136. Round s to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62901469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 370884 to the power of 1\/2, to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42488265.\nAnswer: 3, 5, 937, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-112))\/(3087\/(-87024))\nAnswer: -74\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 2*v + 4. Does 14 divide f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/11 + 222*v**3\/11 - 6230*v**2\/11 + 150*v + 11000 = 0.\nAnswer: -4, 5, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + -2)**2 + (sqrt(66) - (sqrt(66) + (sqrt(66) - (sqrt(66) + (sqrt(66)*2 - sqrt(66)))) + sqrt(66)))\/sqrt(6))*-3.\nAnswer: -837 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 3028.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 + 3*c + 1. Let n be v(-3). Let h be (-3 + 11 - -2)*-2. Let l = h + 153. Calculate the greatest common factor of n and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 20*t - 97. Let i(x) = -24*x + 99. Let v(o) = 4*i(o) + 5*l(o). Calculate v(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.2, 5, 0, 3\/14 in increasing order.\nAnswer: -2\/11, 0, 0.2, 3\/14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u + 2. Let g be 20\/(-12)*2\/(-10). Let -g*m**u - 2\/3*m - 1\/3 = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z + 2*z)*(3*z + 3*z**2 - 3*z)*(-z - 3*z + 2*z).\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*(-1496)\/88*2\/34?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 40. Let f = 129.5 - 98. Let k = 31 - f. Which is the closest to 0? (a) k (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 78 = 3*g + 18, -3*c + 104 = -5*g. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6517.04362 + -6517. What is z rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 2. Let f(s) = -23*s - 62. Let p(q) = f(q) - 2*r(q). Is p(-5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, n: 4, h: 8, l: 1, x: 1}. Give prob of sequence hxnn.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80605, 161081, 241557, 322033?\nAnswer: 402509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*c + 107*c - 8293888 = 66*c. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -5*t**2\/2 + t - 7. Let d(m) = -6*m + 1. Let q(z) = 2*d(z) - 3*h(z). Calculate q(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {s: 6, a: 9, l: 2}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.092153775 - -12.5\nAnswer: 12.407846225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 222*u - 16. Determine k(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*y - 10865 - 11571. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179 + -218. Which is the smallest value? (a) -3\/2 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 78. Find the second derivative of 38*r - 34*r**u - 4365*r**2 + 4365*r**2 wrt r.\nAnswer: -204*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1602*r*t + 3176*r + 17*t - 3 wrt t?\nAnswer: 1602*r + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**7\/735 - c**6\/210 - c**5\/210 + c**4\/42 - c**2 - 2. Let s(f) be the second derivative of g(f). What is w in s(w) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 + 0*j**4 - j**4 + (5 - 5 - j**2)*(16*j - 8*j + 13*j + (-1 + 1 - 2*j)*(-3 + 1 + 1))*(-j + 4*j - 5*j).\nAnswer: 45*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 1. Let g be l(-8). Let s = -4 - g. Suppose d = -s*d + 80. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -70. What is the third derivative of 5*t**6 + 5*t**2 + 21*t**2 + l*t**6 wrt t?\nAnswer: 3720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(392)*1 + sqrt(392))\/sqrt(8))\/(((sqrt(77) + (sqrt(77) - (sqrt(77) - (3*sqrt(77) - sqrt(77)))))*2)\/sqrt(11)))**2*5.\nAnswer: 35\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 15. Suppose 0 = -4*i + 11 + 13. Calculate the remainder when a is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((4*2*sqrt(242) - (sqrt(242) + 5*(sqrt(242) + 0))) + -1)*-2)**2.\nAnswer: -176*sqrt(2) + 3874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252 by 7326.\nAnswer: -14\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - g + 22 = 0, k = 5*k - g - 50. Determine i so that 15*i + 4*i**2 + 13*i + 0*i**2 - k*i = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -11*g + 30. Let k(w) = 4*w + 2. Calculate k(g).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -16\/5*s**5 + 1 + 0*s - 5*s**2 + 0*s**3 + 0*s**4. What is the second derivative of t(y) wrt y?\nAnswer: -192*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1917674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 20 + 18*g + 19 - 23*g. What is t(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -1.5. Is g at least as big as -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 36*k + 176. Let t be h(-14). Is -327 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 252332243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 8 = -m + 1, -4*d - 2 = 2*m. Suppose -4*v - 4 = -m*v. Let a = 5 + v. Solve 0 = 4*w - 7 - a, q - 14 = -5*w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(4 - 3) + 25\/((-1425)\/133). Which is the second smallest value? (a) 18 (b) d (c) -1\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/18 or -7\/5580?\nAnswer: -7\/5580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.2, -2\/13, -0.15, 10\/13, 1 in decreasing order.\nAnswer: 7, 1, 10\/13, 0.2, -0.15, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a - 2 = 0. Let x be (1\/a)\/((-1)\/(-8)). Suppose x*n = -3*m + 28, 8 = -2*n + 5*m - m. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-70)*2)\/(12\/14).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 7:38 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22026*g**2 - 3 - 1021*g + 21999*g**2 - 966*g + 1987*g.\nAnswer: -27*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**5 + 3*d**5 + d**5 + (-d**4 + 0*d + 0*d)*(2*d - 3*d + 6*d).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544686*g - 533*g**2 - 544686*g.\nAnswer: -533*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q - 0. Solve 2*m - 3 = q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011683704 to 7 dps.\nAnswer: -0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s = g - 7, 3*g + 5 = -4*s - 2. Suppose i + 4 = g*j, -2 = -5*i + 23. Solve -5*n = -3*n - 8, 27 = j*q + 3*n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 3:40 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2150 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6 - 0) + -2. Let s = -5.328 + 7.328. What is the nearest to -0.1 in 0.07, p, s?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68\/18 + (-8)\/(-36). Solve b = -q*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/2)\/(2\/(-2)). Let t = -6 + 7. What is the derivative of -4*f**4 - t + z + f**4 wrt f?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 155*b**2 - 149*b**2 + 0 - 29. Let x(q) = 7*q**2 - q - 28. Let f(h) = -3*c(h) + 2*x(h). Find the second derivative of f(i) wrt i.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 9617*x - 9543*x - 1480 = 0 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s**2 + 5*s**2 - 8*s**2)*(-39*s + 60*s + 87*s) - 4*s**3 - 5*s**3 + 3*s**3.\nAnswer: -1410*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Suppose 0 = r*p + 5 - 79. Let t = p + -20. Calculate the greatest common factor of 34 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 155 (b) 2\/19 (c) -1.6 (d) -0.4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 164 = 2*p, 6*r - 4*p - 104 = 3*r. What is the smallest common multiple of 8 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 - -82ba85?\nAnswer: 82ba6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -95 in increasing order.\nAnswer: -95, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2549 + 2522 + 14*c**2 - 9*c**2 + 5*c - 5071 - 5*c.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*o + 683*o - 12 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**3\/6 + d**2 + 9*d - 1. Let i(b) be the first derivative of q(b). What is i(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 73954, 7, -3, 1, -2 in increasing order.\nAnswer: -5, -3, -2, -1, 1, 7, 73954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(5\/10 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*l + 3*l - 7, 0 = m + 3*l - 11. Suppose 2*o - 14965 = -3*x, -3*x + 6*o + 14935 = m*o. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -613*(-4 - 3)\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 54*u - 5. Let d(k) = -11*k + 1. Let y(j) = -22*d(j) - 4*q(j). What are the prime factors of y(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.084 and -13886979034.\nAnswer: -13886979033.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 31 = 3*a, -y + 6*y + 15 = 5*a. Let c be 1\/(-3)*(a + -1). Let w(o) = -2*o**2 + 1. Calculate w(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2. Let h(s) = -309704*s. Give h(d(r)).\nAnswer: -619408*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-26*(-36)\/2808)\/((-163)\/(-54) + -3)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 37 - (3 + -6)*(32\/(-6))\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-13)\/(r*r*r**(-12)))\/(r\/r**10*r**(-1\/13)))**(-1\/14) assuming r is positive.\nAnswer: r**(-79\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 2\/19 (b) -3 (c) -2\/3 (d) 0.3 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 4457, 0.02, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168)*-2)\/sqrt(4) + sqrt(42))\/(sqrt(6) + (sqrt(6) - 5*sqrt(36)\/sqrt(6))))**2*-5.\nAnswer: -35\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/1300*-13 + (-14)\/(-10). Suppose 0 = u - 3*n + 3, -2*u + 4*n - 4 = 0. Suppose v + 4*v = u. Solve -2*o - l*o = v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 5*a + 6 - 14, 2*a + 3 = 5*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 25. Let k = h + 35. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-14)\/(154\/(-33))))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101669417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Let c(r) = 2*r + 17043. Calculate c(p(o)).\nAnswer: -2*o**2 + 17043","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 37*m - 340. Let w be v(17). Which is the nearest to -1\/2? (a) w (b) -0.31 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/44)\/(34\/1122). Solve -4*w + 6*w + n = -m, -w - 3 = -4*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -9. Suppose 2*n - 4 = 5*i + 2, 2*n = i + 6. Let m = -0.12 + -4.88. What is the closest to i in -1\/2, s, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by 63203\nAnswer: 41\/63203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 20*r**2 + 2*r + 49. Let a be h(-20). Suppose -a*v = -21*v + 7056. Does 49 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -569137 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4473 (base 11) to base 15.\nAnswer: 1b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -103692 to the nearest 1000.\nAnswer: -104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/1*1\/(-2). Let w be 3\/6 - 233\/(-2). What is the highest common factor of g and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2\/525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -471, -3468, -11523, -27168, -52935?\nAnswer: -91356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i = 152419 - 13794. What are the prime factors of i?\nAnswer: 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 - 18*n**2 - 15*n + 50. Determine f(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -191831044 - -293892081. Let y = -102061108.999959 + g. Let x = 72 + y. What is x rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/24, 4, -0.6, -0.5, 0.0223?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 246249 - -7?\nAnswer: 246255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 33*h**2 - 3*h - 13. Is m(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -170, 3, -1, -3 in descending order.\nAnswer: 3, -1, -3, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79515 = 346*n - 680*n + 349*n. What are the prime factors of n?\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**7\/1680 + q**6\/720 + q**5\/12 + 3*q**2. Let m(n) be the third derivative of p(n). Does 11 divide m(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07995772 to three dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13557567 is divided by 122140.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/14 and 3*(-35)\/(-40) - (1 - 2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952\/119 + -1*(-543 + 1) is divided by 133?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -688*k + 895*k + 5 - 3 + 772*k to the form t + o*k and give o.\nAnswer: 979","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = c + 20, -3*c = 2*a + 8 - 3. Let v = c - -5. Let d(f) = f**2 - 4. Calculate d(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6148517?\nAnswer: 379, 16223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -43*m**6\/15 + 3*m**5\/20 + 4*m**4 - m**3\/6 + 191*m. Find the third derivative of z(u) wrt u.\nAnswer: -2064*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.6 + 8.8. Let n = l + 14.8. What is the fourth biggest value in n, 0.1, 1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 - 42. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*i + 2*i**2 + 8*i**2 + 41*i - 9*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -164*l**2. Let z(a) = 3112842*a. What is k(z(g))?\nAnswer: -1589124791982096*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 389460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 30. Let z(t) = -t**3 + 2*t**2 + t - 2. Let d be z(o). List the prime factors of (22\/3)\/(d\/(-42)).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -11*z**2. Let t(c) = 2 + 1139151*c**2 - 2 - 1139305*c**2 - 3*c. Determine t(q(y)).\nAnswer: -18634*y**4 + 33*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 8 + 13 - -7 - 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 0) + 24\/(-12). Let l(o) = 2*o - z - 1 + 2. Let m(f) = 4*f**2. Give l(m(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2 + 16926*l + 135280 = 0 for l.\nAnswer: -8455, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54\/15 + (-4)\/(-10). Let t = 4 + -9. Sort 5, d, t in decreasing order.\nAnswer: 5, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 1)*(-8 - 5). Let x = o - 6. Calculate the lowest common multiple of 4 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 466741192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -132346 (base 11) to base 2\nAnswer: -110010110010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/7))**(-1\/40)\/((d**(3\/4)\/d)\/d**(-2\/25)) assuming d is positive.\nAnswer: d**(109\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5*k = -15, 5*k = -0*j - 3*j - 31 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223 + 223.502. Let s = i - 0.5. What is s rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35786 = 2192*j + 2339*j - 4507 - 118292 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q - 20 = 0. Suppose 35 = q*b + 10. Suppose -4*y = -b*x - y + 220, 0 = 3*y. What is the highest common factor of x and 484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000283877924 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2155 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -620 divided by -1027\nAnswer: 620\/1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 2*v + 4*y + 27, 2*y = 2*v + 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbqqqbqqqsqqqsbb. What is prob of sequence bsq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 4*d + 6. Give b(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 11*m - 3. Let y(b) be the first derivative of -5*b**2\/2 + 2*b - 4269. Suppose 0 = -3*l - 4*o - 41, -3*o + 12 = -5*l - 8. Determine l*y(w) - 3*r(w).\nAnswer: 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**5\/30 - h**4\/8 + h**3\/6 + 43*h**2\/2 + 46*h. Let m(a) be the first derivative of o(a). What is m(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euuc. Give prob of picking 2 u and 1 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - -2 - 2) + 1. Solve -9 + l = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from xxxtxxt.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 12 = -2*u. Let s be ((-3)\/(u\/4))\/6. Let k(x) = -22*x**2 + 1121*x + 50. Let m be k(51). Which is greater: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1287000.8 to the nearest 1000.\nAnswer: -1287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1050 divided by -210.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.37 + 134.13. Let k = s + -141. Let t = -12 + 11.6. Which is the second smallest value? (a) k (b) t (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17258880 by -178.\nAnswer: -96960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201274 divided by -100637.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 44. Let c = 17 - q. Calculate the remainder when 29 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 2:15 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 265\/6 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 + -3. Let c be (1 - 0)*98\/(-7). Let h be (-8)\/c - 3\/(-7). Sort 0.1, h, y.\nAnswer: y, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 38?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 4*l + 2. Let t be v(-4). Suppose -2*x + 2*o = o - 12, -5*o = -t*x + 28. Solve 4*u - 2*u = -x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 6\/51 - (-77690020)\/(-170). Round n to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 365006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/3 - 5572*d - 16720\/3.\nAnswer: 4*(d - 4180)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 69 = -3*b. Let u = -14 + b. Let o(i) = i**3 + 8*i**2 - 4*i + 1. Let w be o(-5). What is the greatest common factor of w and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1145)\/458)\/(5*1\/24)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 31739?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 15166897175 to the nearest one million.\nAnswer: 15167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*i, 4*i = 4*d - 1800. Suppose -3*f + d = 3*f. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**2 - 12*f - 2. Let n(w) = -2*w**2 - 11*w - 2. Determine -6*h(m) + 7*n(m).\nAnswer: 10*m**2 - 5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1211 (base 3) to base 12\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b6b31 (base 12) to base 7.\nAnswer: 4104262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3323991?\nAnswer: 3, 11, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 175782730 rounded to the nearest one hundred thousand?\nAnswer: 175800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 18*h + 12. Suppose 84 = -9*l - 3*l. Let y(z) = -2*z**2 - 14*z + 17. Let j be y(l). Give a(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.03 + -0.03. Suppose -3*l + 3 = -5*v - 12, 20 = -3*v + 4*l. Let o(t) = t - 8. Let j be o(4). Put b, j, v in descending order.\nAnswer: b, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.1*-2737\nAnswer: -13958.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g\/(g*g*g*g*g**2)*g)\/g*g*g*g**(2\/9) assuming g is positive.\nAnswer: g**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 741.\nAnswer: 5\/741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 924\/(-33)*((-3)\/(-4))\/((-12)\/(-8))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (sqrt(192) + 2 + sqrt(192) - sqrt(192)) - sqrt(192)) + 4 + 6*((sqrt(90)\/sqrt(5))\/sqrt(6))**2 + 2 + -1.\nAnswer: -8*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128414 to the power of 1\/2, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1963 and 118082?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 309, 607, 907, 1209, 1513?\n\"Answer: n**2 + 295*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1899, 1826, 1753, 1680, 1607?\nAnswer: 1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 17*b**2 - 16*b + 8. Let d be p(18). What is the greatest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 343639963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(192\/(-1062)))\/((-3)\/8). Let i = x + -116. Solve 5*z = -4*k - 10, -6*k + k - i*z - 21 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 729 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112267266 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20350\/(-3920) - (6 + -11) and 35\/12?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480332 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9262221?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1772\/5 - -349. Let h = -311\/8 + 595\/8. Calculate the common denominator of h and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 12. Let k be d(14). Let u = 11 + k. What is the remainder when 16 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 456265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 364\/(-1859) - (-9 - (-944)\/104)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -7. Suppose 0 = x*f - 2121 + 721. What is f rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*g - 1215 = 85*g. Solve -67 - g = 47*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697115 is divided by 193.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:14 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -482*g*k - 740*g*p + 6*g - 27*k*p - 2 with respect to k.\nAnswer: -482*g - 27*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**1*z)\/z*z**(-1))**(8\/3) assuming z is positive.\nAnswer: z**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*((4 - 1 - 4)*(0 + 0 + 2*h) + ((1 + 0 + 1)*(-2 + 6 + 3) - 13 + 5 + 62)*(3*h + h + 0*h)).\nAnswer: 540*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36793 + 36792.941157. Round g to four decimal places.\nAnswer: -0.0588","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 6, x: 1, h: 4, o: 4}. Give prob of picking 1 o, 1 b, and 1 x.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3780131937 is divided by 11532?\nAnswer: 11529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15708 and 474264?\nAnswer: 88687368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 x when three letters picked without replacement from xxxxxxxixixiixxxxxx?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1467476115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.2 (b) 2\/79 (c) 0.06 (d) -113 (e) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -42. Suppose 4*m - 19 = -a. Let v(g) = -g**3 + 3*g**2 + 5*g - 1. Let o be v(m). Solve n = -0*n + o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -92605, -92546, -92483, -92416, -92345?\n\"Answer: 2*o**2 + 53*o - 92660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -805*o - 1151. Determine v(-2).\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158.249987221 + -158.25. Round z to seven decimal places.\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.3, 7, 0.164386?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -81256 (c) 9.1 (d) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 12*w**2 + 2*w - 10. Let q be x(14). Let o = 389 + q. Calculate the remainder when 21 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561838353?\nAnswer: 3, 187279451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -130, -121, -102, -73, -34, 15, 74?\n\"Answer: 5*w**2 - 6*w - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 4:22 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 154 + -154.014. Let b = h + 2.014. Is 0.7 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1155*c*z + 1699*c - 60*z + 2 wrt z?\nAnswer: -1155*c - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4123*d + 4*d**4 - 5*d**4 + 2*d**2 - 4348*d to c*d**2 + w*d**4 + q + k*d**3 + u*d and give u.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 31*f**6\/6 + 3*f**2\/2 - 23*f + 34. Find the second derivative of l(p) wrt p.\nAnswer: 620*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**(-1\/8)\/p*p*p)\/p)**(-4\/5)*(p**(2\/7))**(-15) assuming p is positive.\nAnswer: p**(-349\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/184 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1039439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30743\/10 - 3078. Suppose -s = 9933 + 1332. Let v = -202673\/18 - s. What is the common denominator of r and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 4974.\nAnswer: 54714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 102*p**2 - 198*p - 98.\nAnswer: -2*(p + 1)**2*(p + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**7\/105 + 2*t**6\/75 - 7*t**5\/10 - 2047*t. Find r, given that w(r) = 0.\nAnswer: -7, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100904 is divided by 99308?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i + 9. Give r(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7951764479565.9800111 + -7951764124493. Let i = 355073 - w. Let n = i - 0.02. What is n rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111212423 - 3?\nAnswer: -111212431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4297429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1569 - 1487. Calculate the greatest common divisor of 1271 and q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1029 - 11 = -10*i. Suppose 37*a = 38*a - i. Does 33 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*z - 3*z - 2*z)*(-2*z - 2*z + 2*z) + 5*z**2 - 2*z**2 + 1 - 4*z**2)*(9 - 7*z**2 - 9).\nAnswer: -21*z**4 - 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**6\/15 - 13*x**5\/30 - 89*x**4\/3 + 2*x**2 + 257. Find the second derivative of l(n) wrt n.\nAnswer: 48*n - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 - 4 - h**2 - 2 + 7 + h**3 to the form q*h + u*h**4 + o*h**2 + k + d*h**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = k + 4*y - 3, -4*k - y = -19. What is the closest to 2\/5 in k, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -6\/53791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315 and 11949.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(-1\/21)*n)*n**(-17)*n assuming n is positive.\nAnswer: n**(-335\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45 + 39*p - 10 - 38*p)*(-78 - 5 + 16) to the form y*p + u and give y.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2160 = -2*w - 2*w. Suppose 4*s - w = -s. Suppose -3*l = -0*l - s. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a - 39. Let h be b(-19). Suppose 11*p = 6*p + h. Let j(t) = 33*t - 16*t - p*t. Let q(f) = 31*f**2. Calculate q(j(w)).\nAnswer: 124*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (-3 + 6 + 4). Let r(m) = -80*m**3 + 3*m**2 + 3*m + 2. Is r(j) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 3*p**2 - 41. What is f(6)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**3\/5 - 24*h**2\/5 - 173. Factor z(r).\nAnswer: -3*r*(r + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -4.1 (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1251?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-130)\/6)*105\/2079\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(6\/4 - (-10)\/100). Let k(b) = -11*b + 5. Let i(o) = -3*o + o - 2 + 6*o. Let c(w) = -w**2 - 4*w. Let x be c(-3). Give q*i(s) + x*k(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2 + 3 = 0. Let f be (2 - (0 - -2))\/v. Suppose -3*i + 3*z + 12 = f, 4*z - 2 - 2 = -i. Solve -i*t - t = -15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -578 or -2110?\nAnswer: -578","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 10*a + 46. Give b(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4699.345 decades?\nAnswer: 469.9345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 578325 and 115665?\nAnswer: 578325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1801 + -593. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3712 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, z: 1, r: 10, g: 4, m: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4 = c. Solve -2*h + h - c = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + l - 6 - 8 = 0, -38 = -3*o + 5*l. Let i(d) = d + 6. Let y(h) = 5*h + 24. Let r(n) = -9*i(n) + 2*y(n). Determine r(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 497658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012112020021 - -21111?\nAnswer: -1012111221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000\/(-200)*(166\/170 + -1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68302 and 11544.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**3 - 7*r**2 + 3*r - 83. Is s(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1906, -1898, -1886, -1870, -1850, -1826, -1798?\n\"Answer: 2*u**2 + 2*u - 1910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-45)\/(-10))\/(2\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 475 = 3*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (375 - 3727 - 10911 - 17769)*(4*q**3 - q**3 - q**3).\nAnswer: -64064*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -16*f**2 + 84*f - 8. Let u be g(5). Calculate the highest common factor of 22 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (5 - 15)) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -2\/401985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i**3 - 3 + i**3 + 0*i**3 - i**3 to the form x*i**3 + r*i**2 + p + y*i and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -272*d + 1 + d**3 - 268*d + 538*d - 5*d**4 + d**2 to j + a*d**3 + o*d**2 + r*d**4 + w*d and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7))**14*((g**0\/g)\/g)**(-45))\/(((g\/(g**0*g*g)*g*g)\/g)**14)**(2\/21) assuming g is positive.\nAnswer: g**94","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, f: 6}. What is prob of sequence iiif?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**2 - 28*j - 19. Is r(13) 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 7:28 AM and 2:31 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 - 85. Calculate the greatest common divisor of 209 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -500372 > -500371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -40424002 (base 6) to base 13\nAnswer: -31552a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, v: 1, j: 1}. Give prob of picking 1 j and 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-1\/22)*k)*k\/k**(1\/3))\/((k**(3\/7)*k)\/k**(-2)) assuming k is positive.\nAnswer: k**(-1255\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 180?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237524190, 475048381, 712572572, 950096763, 1187620954?\nAnswer: 1425145145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 6.3714.\nAnswer: 0.3714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1031 and -458204123.\nAnswer: -458204122.8969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61849 = 2*h + 11159. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10051345 (base 6) to base 10.\nAnswer: -286769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*p**2 + 31*p**2 + 16*p**2.\nAnswer: 146*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2066 - -142.4934. Let q = k - 143. Which is the nearest to 2\/37? (a) 5 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270813 is divided by 373?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9 - (-77)\/165)*(6 - 3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**3 + 2*y**3 - 3*y**3 + (-1 + 1 - y**2)*(0 + 0 - y) as z*y**2 + g*y + u + n*y**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tettte. What is prob of picking 1 e and 3 t?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -154*t**3 + 13*t**2 + 11*t - 2. What is q(-1)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11063 - 1?\nAnswer: 11062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 - -117. Let h(l) be the first derivative of l**4\/4 - 8*l**3\/3 + l**2\/2 - 10*l + 1. Let z be h(c). What is the smallest value in 4, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*i = -66, 5 = o + 5*i - 25. Let f be (-72)\/o + 1\/5. Let k = f + 12. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*o + 30 = 3*o, 0 = 3*h + o - 98. Suppose -174 = -4*i - h. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0694 - -0.0306. Which is the closest to d? (a) 3 (b) 24 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -257049*j - 771144. Calculate o(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2819.899 days in microseconds?\nAnswer: 243639273600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5100)\/1530*(1 + (-1)\/2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 6:19 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19c84 (base 15) to base 8.\nAnswer: 243560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 11*n**2 - 10. Let k be y(11). Let q be (-50)\/(-125)*(-2)\/(4\/k). Factor 5*z + z**3 + 3 + 1 - 3 - 4*z**q - 3.\nAnswer: (z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -180, -171, -158, -141, -120?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(16\/(-48)*6\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-8) + 3\/12. What are the prime factors of 66\/y + (-4)\/(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.077640608 rounded to 3 decimal places?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -5*u - 12. Suppose 0 = u*d - q - 0*q - 56, 0 = -3*d - 5*q + 19. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/24 - ((-9)\/(-4) - 2). Suppose x = 27*q - 25*q - 4. Let y be 2 - 0 - (q - 0). Which is greater: y or -6\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, o: 6, y: 1, z: 4, n: 4, t: 2}. What is prob of sequence oyn?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-5) - ((-288)\/(-720) - 7\/5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/43 in 76\/9, -5, -8, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -9. Let t = v - -2. Which is the nearest to -1\/2? (a) -0.3 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(228) + sqrt(228))*-1)\/(sqrt(96)\/(-3*sqrt(8))*-1).\nAnswer: -21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((2\/(-3))\/1)\/(-2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 410.2 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -1\/60*h**5 + 0 + 11*h**2 + 1\/8*h**4 + 1\/6*h**3 + 0*h. Let s(w) = 2*w. Suppose r + 17 - 20 = 0. Calculate r*s(n) - 2*g(n).\nAnswer: 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a century?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/22077 and 11\/366.\nAnswer: 2693394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/17507, 0, -91, 2 in decreasing order.\nAnswer: 2, 0.1, 2\/17507, 0, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 20 = -16. Solve d + 0 = t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chhhccchhhhc. What is prob of picking 3 h and 1 c?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 944684 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 18471017.\nAnswer: -4\/18471017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 4:16 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418391 divided by 52533?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12363, -13, 3.\nAnswer: -13, 3, 12363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least as big as 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11846 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, m: 2, x: 2, b: 1, l: 1}. What is prob of sequence lxb?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 14 = -4*q - 10, -4*q - 8 = 0. Suppose 0 = 4*z - n*b + 2*b - 12, -3*z = b - 9. Solve -t = r - 1, 2*r - z*t = t - 22 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Let m be 4\/(-16)*16\/(-10). Let q = -4.1 + 4. Which is the nearest to m? (a) u (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmg when three letters picked without replacement from myfmmmfmtmlmymgfml.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 s when four letters picked without replacement from srsssrsssssrsssrsr.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 36*v = -41*v - 82, -3*v - 8*v - 208 = 5*o for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*a - 310*a - 3479 = -9831 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6055131520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, 5, -0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rggr. Give prob of sequence rg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8928887 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: Express (-3 + 3 - 3*v)*(-v + 2*v - 3*v) - 2*v**2 + 7 - 7 + 69 - 69 - 60*v**2 + (-v**2 + 1 - 1)*(-2 + 4 - 3) as z*v**2 + x + q*v and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -19*y**3 + 12*y**2 - 8*y + 38. Determine j(4).\nAnswer: -1018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l**2 + 12*l + 30. Calculate p(-3).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 8*g**2 + 11*g - 20. Let x be f(9). Let c be (599\/4)\/(x\/(-8)). Suppose -70 - c = -r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 12 = 2*f, -4*f + 27 = -3*r - 2*r. Suppose -4*u = -5*p + 73, 3*u + f = 3*p - 37. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-828)\/(-48) + (82 - 99).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t - 60. Let r(s) = s - 12. Let o(j) = -4*n(j) + 21*r(j). Let w be o(-8). Solve 0 = c + 2*c - w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4792147.\nAnswer: 17, 101, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + -1 + 16 + (-41 - -31).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3034216*h**3 + 915606 with respect to h.\nAnswer: 9102648*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from hkewkkjweaee.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1579*z - 150912 - 177724 = 517*z - 2326*z for z.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1187236 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - ((21 - 17) + 49 + 5)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-2)\/3*18\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 13 - -6 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*l**2 + 1)*(-17*l - 336 + 336) to the form y*l**2 + n + t*l + b*l**3 and give b.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5, 2*c + j = -0 - 3. Suppose -24 = -3*y - 4*a, 3*y - 3*a + c = y. Calculate the remainder when 13 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -184, -190, -198, -208?\n\"Answer: -n**2 - 3*n - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**5 - 95*y**4 - 14520*y**3 + 74300*y**2 - 30320*y - 119040 = 0?\nAnswer: -48, -1, 2, 4, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 2 (c) -5\/3 (d) 3\/5 (e) 0.84 (f) 23\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 13*k**2 - 17*k + 43. Let j be p(14). Which is the nearest to j? (a) 0 (b) 0.8 (c) 0.1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 248*o. Let r(j) = -4*j. Let l(v) = 5*v. Suppose h = -c + 2*c + 8, -24 = c - 5*h. Let z(u) = c*r(u) - 3*l(u). Determine k(z(m)).\nAnswer: 248*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 3*l - 5. What is the remainder when i(6) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 27*u**2 + 191*u - 1761. What is s(31)?\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 796515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 384649067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -2*t**3\/3 + t**2\/2 + 4*t + 10. Give w(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**9\/25200 + 3*c**8\/11200 + c**7\/1400 + c**6\/1200 + c**4\/8 + 2*c**2. Let o(u) be the second derivative of s(u). Factor o(f).\nAnswer: 3*f*(f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 - 133*d + 32. Determine i(33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n*n*n**(-2\/19))*n)\/n*n)\/n**(-1\/3))\/(((n\/(n\/n**1*n*n))\/n)\/n**(4\/13)) assuming n is positive.\nAnswer: n**(2776\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 135474263 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3048212662 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 34*z - 46*z + 19 = -11*z, 12 = 3*z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 3*k**2 + 3*k + 5. Let u be t(4). Let o = 3 - u. Solve 4*z - 4*y + 1 - 9 = 0, -o*z - 5*y - 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 76073 - 486149 = -16864. What are the prime factors of k?\nAnswer: 3, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2229*-451.\nAnswer: -1005279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 167090 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.49 - 1.6421352.\nAnswer: -2.1321352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1365253, 1365255, 1365259, 1365265, 1365273?\n\"Answer: j**2 - j + 1365253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - (-4)\/1)*(-1 - -2). Let o be 365\/4 + a\/128*-4. Suppose v**4 + o - 48 - v**2 - 43 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -2\/25, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1104988, -1105029, -1105070, -1105111?\nAnswer: -1105152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.4 (b) 0.1 (c) 2\/375 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3725849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 11:23 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2047771553?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -40. Calculate the highest common factor of 170 and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + 1 + sqrt(243).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 25112*o - 25116*o + o**4 - 2 - 2*o**2 - 3*o**2 in the form f*o + c + h*o**4 + k*o**2 + l*o**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 - 2)*(0 - i + 0) + i - 2*i + 3*i + 2*i - 2 + 2)*(-2*i + 3*i + i) to the form u + x*i + g*i**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 - -2 - (-1 + 0). Let g(u) = -u**3 - u**2 + 6*u + 9. Let y be 58\/(-10) - (-2)\/(-10). Let f be g(y). What is the greatest common factor of j and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-14)\/6))\/((-537)\/716)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/112 and ((-5)\/(-2) - 1) + 186\/72?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 + (5 - 513498\/(-24)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5432426\/391 or 13894?\nAnswer: 5432426\/391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*x - 10*x = -6656. Solve x = -59*y - 191 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 5*v**2 + 49*v - 174. Calculate q(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.048628 (b) -2 (c) 306\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1, 5, -4\/21 in descending order.\nAnswer: 5, 1\/2, -4\/21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/22 - (-266)\/(-616).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1303548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-311)\/933)\/(5\/9)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -1 (c) 386 (d) -0.1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029825\/4 not equal to 757455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4672926, -9345860, -14018794, -18691728, -23364662?\nAnswer: -28037596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 41185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - 7 - 17. Find the third derivative of -428*q**2 + 217*q**p + 22*q**5 - q**3 + 225*q**2 wrt q.\nAnswer: 1320*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(50\/(-8))*30. Suppose 3*v - v = r. Suppose 55*y - 31 - 3214 = 0. What is the remainder when y is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -64. Let t(s) = 8*s**2 - 15*s**2 + g*s**2. Let j(d) = -d**2. What is t(j(v))?\nAnswer: 15*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkarkakak. Give prob of picking 3 k and 1 r.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -1\/2*y**3 + 0 + 0*y**2 - 3*y + 0*y**4 - 1\/20*y**5. What is the second derivative of r(m) wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*f - 63*f - 142*f - 6*f - 134*f.\nAnswer: -247*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -0.01, -12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -12*w. Let t(k) = -25503268*k. Give p(t(c)).\nAnswer: 306039216*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 8*m**2 + 7*m + 7. Let c be d(7). Suppose c*u - 495 = 2*u. Suppose 3*f + 22 = i + 5*f, -4*i + 3*f + u = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnmnmmmmnm. What is prob of picking 1 m and 1 n?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1 - -3) + 6 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -0.1. Which is the biggest value? (a) 0.5 (b) -10\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31393066799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3697 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 191, 151, 133, 137, 163?\n\"Answer: 11*l**2 - 73*l + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1770, 1446, 932, 246, -594?\n\"Answer: 3*p**3 - 113*p**2 - 6*p + 1886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2709, 5259, 7809, 10359?\nAnswer: 12909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -33.1. Which is the third biggest value? (a) 2 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*l - 93840, 2*c + 15*l = 17*l + 93836. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: 147\/(-98)*(-8)\/(-30)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/35 and -16\/9285.\nAnswer: 64995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = s - 19. Let v be 2\/s*((-45)\/(-6) + -6). What is the third biggest value in 9, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1774*w**3 - w**2 - 1367*w + 7479467 wrt w?\nAnswer: -5322*w**2 - 2*w - 1367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + 2 - 2 + 3 - 3 - b**2 + (-125 + 45 - 76)*(-b**2 - 3*b**2 + 2*b**2))*((b + 2*b - b)*(-b**2 + 0*b**2 + 2*b**2) - 2*b**3 - b**3 + 4*b**3).\nAnswer: 921*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/13 + 812*x**3\/13 - 1614*x**2\/13 - 812*x\/13 + 1616\/13 = 0.\nAnswer: -1, 1, 2, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127 + -127.106. Let n = -0.294 + q. Let g = -4 - -4.1. Which is the smallest value? (a) g (b) -6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g + 3*g**2 + 1\/3*g**3 + 3. Let x(y) = -y**2 - 5*y - 1. Let h(t) = t**2 - t - 1. Let l be h(3). Give l*n(c) + 6*x(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -21170 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.23 + 1.91. Let c = -0.2 - -0.22. Let b = c + x. What is the second smallest value in -1, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puuv when four letters picked without replacement from {u: 2, p: 1, z: 4, v: 1, b: 3}.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 68*x - 8. Let s = -13773 - -13773. What is w(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 7*u**2 - 3*u - 4. Let c(k) = k**3 - 8*k**2 + 6. Let n be c(8). Calculate h(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.339 + 0.33899602. Round a to seven decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**4 - 46*j**3*u**2 + 581*j*u**2 wrt j.\nAnswer: -24*j**2 - 276*j*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 - 55 = -37*a. What is the second biggest value in 8, -3, 0.3, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1089 and 6354.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 + 7*g + 8. Let x be z(-1). Which is smaller: 7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32084174+276987\nAnswer: -31807187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1899, -5, 2, 5, 2909.\nAnswer: -1899, -5, 2, 5, 2909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (6*sqrt(5)*1 - sqrt(5)) + sqrt(5) - sqrt(5)) + sqrt(5) + sqrt(10)\/(2*sqrt(2)) - 6*((sqrt(180) + sqrt(180) + 0)**2 - sqrt(5)).\nAnswer: -4320 + 27*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*l + 100*l + 281*l**2 + 245*l**2 + 173*l**3 - 48*l wrt l?\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g - 19*g - 11*g.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(99) - (sqrt(99) + 0)) + sqrt(99) + (sqrt(99) - (sqrt(99) + -6*(sqrt(99) + 0))) + 2 + -1 + (0 + sqrt(99) - sqrt(99)))**2.\nAnswer: 126*sqrt(11) + 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1147*t*w**4 + 3*t*w**3 - 7341*t*w**2 + w**5 - 2*w wrt w.\nAnswer: -27528*t*w + 18*t + 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14350 is divided by 1301.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*q - 133*q + 2*q**3 - 104*q + 52046.\nAnswer: 2*q**3 + 52046","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - s**2. Let a be r(2). Suppose -12 = -a*q + 72. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - y + 0)*(1 + 2 + 0)*(y**4 - 2*y**4 + 2*y**3 + 0*y**4).\nAnswer: 3*y**5 - 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -152*m + 1803. Determine h(11).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 245.46798 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -194\/3 + 64. Let l = -0.173 + -0.127. Sort l, y, 1\/5 in decreasing order.\nAnswer: 1\/5, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -345, -321, -251, -111, 123, 475?\n\"Answer: 4*l**3 - l**2 - l - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85235.\nAnswer: 5, 17047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.01 (b) 5 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143 - 42*b - 143)*(90 - 30*b**4 - 90) + (-b**2 + 2*b**4 + b**2)*(2*b + 0 + 0).\nAnswer: 1264*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*q - 24. Suppose 0*r + 3*s = q*r + 1913, r + 482 = 2*s. Let c be 2\/(-7) - 17\/r. Is c greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15462, -29095, -42728?\n\"Answer: -13633*u - 1829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 299687857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g**2. Let t(f) = 564 - 44*f**2 + 25*f**2 - 564. Determine a(t(x)).\nAnswer: 3249*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4492343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 5*i**8\/8 - 47*i**4\/12 - 27*i + 2. What is the third derivative of j(h) wrt h?\nAnswer: 4200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8085, -11149, -14213, -17277, -20341?\nAnswer: -23405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyyyyjs. Give prob of picking 1 s and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -219.1 + -12.79. Round k to 0 decimal places.\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15026623.\nAnswer: 17, 41, 21559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, -19, -116, -303, -610, -1067?\n\"Answer: -5*w**3 - 2*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101202330 (base 4) to base 6.\nAnswer: -1312420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, f: 2, v: 1}. Give prob of picking 2 f and 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2.7. Which is the smallest value? (a) -3 (b) -0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 20*r**3 + 0*r**2.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 16888*a - 213903408.\nAnswer: -(a + 25332)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f + 3*f + 1 + 7 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36159811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(40\/14) + -20 + (-1164)\/(-60).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by -22\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 1 + 1 - 1 - 2*m + 1 + (0*m - 2*m + 0*m)*(-1 - 1 + 1) + 2*m - 2 + 2)*(48*m + 6*m**4 - 24*m - 31*m).\nAnswer: 24*m**5 - 28*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 944494109, 944494108, 944494107, 944494106, 944494105?\nAnswer: 944494104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**6\/120 + 2*l**5\/15 - l**4\/3 + l**3 + 5*l**2. Let c be m(7). Which is bigger: -2\/7 or c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/988 and -31\/3267836.\nAnswer: 62088884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197677 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2802 to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(36\/264)*2\/4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 4*j - 1. Let p be l(2). What is the common denominator of p\/(-56)*(-55 + (-3)\/(-3)) and 65\/6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -35. Solve -y - 2*y = g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1596\/114*(-15)\/50)\/(2\/(-5)).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 76\/(-798) + (-164)\/42\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217098 to the power of 1\/2, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 23 = 3*t. Suppose -3*w = -5*n + 4*n - 9, 2*n + 14 = 5*w. Calculate the highest common divisor of w and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p. Let c(b) = 14*b. Let y(j) = 3*c(j) + 7*f(j). Let r(d) = -2*d. Determine r(y(w)).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/313196 and 21\/440?\nAnswer: 34451560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -272179112*l**5 + 44119504*l?\nAnswer: -5443582240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10655 + 10654. Which is the closest to x? (a) 1 (b) -1 (c) -7.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 12:48 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 741 is divided by 66?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*m - 3. Let l = 24289\/14 + -1740. Find the common denominator of l and m\/(-2) - (-36)\/16.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45 + 379 + 103 + 969*z + 81 + 376 wrt z?\nAnswer: 969","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110\/7)\/(-11)*(-36)\/1260.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101021221020 (base 3) to base 16.\nAnswer: 31776","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-5))\/((-18)\/(-15)). What is the closest to -1 in -0.2, -2\/11, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*q = -90*q - 376 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.3 + 17. What is the second biggest value in 0.4, -10, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156823, -152635, -148447, -144259, -140071, -135883?\nAnswer: -131695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7194)\/(-54) + 3*(-6)\/81 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -5, -1\/14, -0.032, 0.37, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 123533647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/2)*i)**(-7) assuming i is positive.\nAnswer: i**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h. Suppose h*a = -5*a - 90. Let i = a + 108. What is the greatest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 8. Let i = p + 7. Let f(s) = -s**3 - 2*s**2 - s - 2. Let d(l) = 3*l**3 + 5*l**2 + 3*l + 5. Let a(z) = i*f(z) - 2*d(z). What is a(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -286*p - 74. Let x(s) = 2*s - 35. What is 2*x(a) - y(a)?\nAnswer: 290*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4289*g**3*q + 720*g**3 + 132*g**2 + 2998*q wrt g?\nAnswer: -25734*q + 4320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 344*a**6 + 290*a**6 - 858*a**2 + 400*a**6 - 217*a**6 wrt a?\nAnswer: 98040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*z + 64308 = 809*z + 380*z for z.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2904138127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 220\/105*-3 + 7 + 0\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21409292 = 2*t + 4*h, -4*t - 3*h - 33960488 = 8858111. Let k = -7410264 - -22414916. Let a = k + t. Round a to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29265.696 - 2.07.\nAnswer: -29267.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 83344 less than or equal to 83342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22554 + 11734. Let h be (-4)\/18 - l\/90. Suppose 5*u - u - h = 0. What are the prime factors of u?\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 {c: 1, w: 1, n: 2, o: 2, r: 1, h: 1}. Give prob of picking 1 o and 2 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*h + 191 - 8439 = 1811 + 4263 for h.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 11:27 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**3\/3 - i**2 + 3*i - 4. Let m be t(2). Determine y, given that -4*y**2 - 4*y**m + 0*y**2 + 4*y**4 - 4*y**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2 + 6*d. Let t be q(2). Solve -4*v = -f - 12, t*f + f - 9 = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 + 5*o**2 + 5*o**2.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-2 - -13)*(-310)\/(-1). Suppose r = -2*d + 1076, 5*d + 4*r - p = -721. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 + 20*s - 36)*(0 - 3 + 0)*(-3 + 9 - 1).\nAnswer: -300*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.002238 nanometers in kilometers?\nAnswer: 0.000000000004002238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-20) + 2\/10. Does 3 divide (4 - (q - -1)) + 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqqmqq. What is prob of sequence qqm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141\/110 + 11\/10. Which is the smallest value? (a) -1\/3 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1420 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6630 divided by -1326?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k + 66*k + 23*k)*((2 - 2 - 4*k)*(1 + 2 - 2) - 2*k + 0*k + k + 36 + 19*k - 36).\nAnswer: 1344*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-27)*1518\/(-253).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, j: 1}. Give prob of sequence lj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.005 and -0.17.\nAnswer: -0.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - 373*c**3 + 3 + 3 - 146*c**3 to t*c**2 + d*c + r*c**3 + i and give r.\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4683 = 113*q - 120*q. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z = 0. Suppose -4 + z = u, -15 = -i + 3*u. Suppose 5*r + 7*j - i*j = -14, -r + 5*j = -3. Let p(n) = n**2 + 3*n + 1. Calculate p(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**4*c)*c)\/c**(1\/4)*c*c**8*c\/(c*c**(-9)) assuming c is positive.\nAnswer: c**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddwwwwwededdewe. What is prob of picking 1 d and 1 e?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 11*q - 6*q. Is 3 a factor of -4 + (0 - 0) - 204\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -63 and 469432.\nAnswer: 469369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -822, 9 in descending order.\nAnswer: 9, -41, -822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -475 - -478. Let u be (18\/6)\/((-18)\/12). Sort u, -0.3, x.\nAnswer: u, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604679 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022000 - 10?\nAnswer: 1021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 9:53 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 748, 2202, 5028, 9682?\nAnswer: 16620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6660059179?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 6:29 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -2*d - 4*s, -2*s = d - 1. Sort d, 3, 21, -4 in decreasing order.\nAnswer: 21, 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -192227.26283 and 0.09.\nAnswer: -192227.17283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.67771 milligrams to micrograms.\nAnswer: 70677.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.5 + 5.5. What is the nearest to -0.1 in n, -1\/2, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqxq when four letters picked without replacement from qdqxqqx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -13*m + 1757014. Suppose -4*h + 436989 = -5*z + m, -2*z - 3*h = 124609. Round z to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m + 0 + 32*m**3 + 156\/5*m**2 + 4\/5*m**4.\nAnswer: 4*m**2*(m + 1)*(m + 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/6)*k*k**(3\/7))**(-17)*((k*k**(-1)*k*k)\/(k\/k**6))\/(k**(-3)*k**(1\/5)) assuming k is positive.\nAnswer: k**(-3637\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7384*p + 5992*p - 8461*p to a + i*p and give i.\nAnswer: -9853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1853, -1880, -1953, -2096, -2333?\n\"Answer: -4*v**3 + v**2 - 2*v - 1848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2. Let c(y) = -17617*y + 44. Let h(x) = -5872*x + 16. Let d(k) = -4*c(k) + 11*h(k). Determine z(d(v)).\nAnswer: -34527376*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -28. Suppose -5*m + 74 = -1. What is the remainder when (15\/4)\/(m\/40) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/24 - 48\/384. Let t = -0.8 + 0.5. Put t, v, -5 in descending order.\nAnswer: v, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t + 21*t + g = -75, 0 = -5*t - 5*g + 45. Calculate the highest common factor of t and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -1\/39*r**3 + 0*r**2 + 0 - 1\/78*r**4 + 2*r. Let y(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*q - 14 = 0, r - 8*q = -13*q + 23. Let a(s) = 3*s**3 + 5*s**2 - 3*s + 3. Let i(w) = -3*w**3 - 5*w**2 + 2*w - 2. Give r*a(h) - 3*i(h).\nAnswer: 3*h**3 + 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89474*y**6 - 99432*y**2.\nAnswer: -10736880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/6)\/(7995\/(-3198)*(-2)\/(-16)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37\/11? (a) -5\/7 (b) 2 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 6*n - 3*n)*(-3*n - 4*n + 2*n)*((-5 + 2 + 1)*(1 - 4 + 4) - 2 + 4 - 4 - 3 - 1 - 4) to j*n**2 + r + c*n and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 - 611 - 492 - 929 - 242)*(3*v**3 + 0*v**3 + 0*v**3).\nAnswer: -6570*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9556735l in millilitres?\nAnswer: 955.6735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/22 - 26\/(-143))\/3. Solve -2*u = 5*f + 23, 3*f + b*u = 5*u - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h - 1. Let j(k) = 4*k**2 + 4 - 4*k**2 + 3*k**2 - k**3 + 2*k + 3. Let m be j(4). Calculate the lowest common multiple of 20 and f(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*2*sqrt(1008) + 4 + -4)**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*o + o - 23 = 0, 4*d = -o - 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 599 by -6.\nAnswer: -599\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 80*c**2 + 0 + 4 - 4 + c.\nAnswer: -80*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 8*f + 3*f)*(-788 - 35 - 653).\nAnswer: -13284*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 1:27 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (191\/3)\/(110\/(-15)). Let z = w + 17\/2. Let r = -63 - -64. What is the nearest to 2\/5 in r, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -31*j + 74. What is the hundreds digit of l(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -15*a + 28632. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -24. Suppose -3 = a*h - 13. Find the third derivative of j**h + 0*j + 4*j**5 + 19*j**2 + 0*j wrt j.\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 988493.116 rounded to the nearest 1000?\nAnswer: 988000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1156, -3, 89, -2, -2\/23, -2\/9?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/(-16)*62\/(-5) and -61\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 581144063?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-99)\/6*(-16)\/12. Let t(w) = p*w - 4 - 10*w - 10*w. What is t(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 20820?\nAnswer: 83280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t - 22*t + 4*t**2 + 6*t**2 + 5*t + 8*t - 8*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -510071 (base 9) to base 12.\nAnswer: -12683a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(sqrt(27)*-3*-1)**2*-4 + 5.\nAnswer: -5827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide (215\/(-4))\/((-1)\/(-11 - -47))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -2 - 5)\/(-2). Suppose 0 = -p*f - 2*f + 28. Suppose 5*i = -2*d + 20, -d + 0 = -4*i + 3. Solve 3*q - h - f = 0, -2*h = i*q - 4 + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 1050 - 1039 + 2077 = -4*u, -5*j = 7*u - 81 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1577*j**2 - 142*j + 27. Let x be k(5). Suppose 5*g = 3*s + 23, 3*s - 3*g + 17 = -2*s. Is (s\/2 + 1)\/(33\/x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 11*n - 19)*(6*n**2 - 6*n**2 - 2*n**4) - 3*n**5 + 0*n**5 + 5*n**5 + (-2*n**2 + 3*n**2 - 2*n**2)*(n**3 - 2*n**3 + 3*n**3) + 0*n**3 + 0*n**3 - 2*n**5.\nAnswer: -24*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(81)*-6)\/(sqrt(3) + sqrt(12)\/sqrt(4)*-2))\/((sqrt(36)*-2 - sqrt(9)) + -3*sqrt(81)).\nAnswer: 3*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 9*h**2 + 19*h - 210. Let x be z(8). Solve -6*t = -9*t - x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**3\/3 - 2*q. Let n be (10\/8)\/((-7)\/(-56)). Let g(d) = 13*d**2 - n*d**2 - 2*d**2 - 6*d**2. Give g(x(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 9 = -5*h. Suppose 35 = h*a + a. Suppose 0 = -x + 3 + a. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 0.17, 0, -2\/13, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 33534*q**2. Let t(y) = 5*y**2. Give t(b(g)).\nAnswer: 5622645780*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29803, -1\/4, 5, 6, -3.\nAnswer: -3, -1\/4, 5, 6, 29803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + 0 + sqrt(1053) - (sqrt(1053)*-2 + -2 + sqrt(1053))) + (-2 + sqrt(13) + 2*sqrt(13)*1 - (3 + -1 + sqrt(832))))**2.\nAnswer: 196*sqrt(13) + 31217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -403*i**5 + 2*i**4 - 3*i**3 + 5491*i**2 wrt i?\nAnswer: -24180*i**2 + 48*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12011201 + 1010000?\nAnswer: -11001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 take away -0.092?\nAnswer: -20.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47953137.\nAnswer: 3, 23, 61, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and -39.\nAnswer: -1209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w**(2\/11)*w*w)\/w))\/(w**(-3)\/w))\/(w**1\/(((w**(1\/12)\/w)\/w)\/w))*(w\/(((w**5\/w)\/w)\/w)*w*w**7)\/(w**1*w\/(w*(w\/(w**(-7)*w))\/w)) assuming w is positive.\nAnswer: w**(1703\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.2543063.\nAnswer: -0.02543063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = x + 2*t - 3*t, 2*x = t + 155. Solve 0 = -45*m - x + 35 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**(6\/5)*a**(1\/7)\/a*a\/a**(2\/5) assuming a is positive.\nAnswer: a**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(10\/(-25))*2. Suppose -4*u + 0*o = 5*o - 26, -y*u - 2*o + 41 = 0. Solve 0 = b - u + 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 + -9 + 54 - (-32 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1437*m**2 - 9*m + 47. Is p(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25173894233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1205 + -1191. Let f(j) = j**3 - 15*j**2 + 14*j - 16. Calculate f(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 9*m - 1\/30*m**6 + 0*m**3 + 0*m**4 + 0 - 7\/2*m**2 + 0*m**5. Find the first derivative of l(j) wrt j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.9, -1, 1\/2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 197 = -195, 4*s + 19 = -3*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 3232369800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5400 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -3\/50, 0.1, 286, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j - j + 5*j + (3 + 9 - 8)*(0*j - 3*j + j) + j + 0*j - 2*j + (0 + 2 + 0)*(-2*j + 2*j + j) - 3*j - j + 0*j + (0*j + j - 3*j)*(-1 + 1 + 2).\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 + -47 + (2 - 34) - -35?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 23*r**2 - 8*r - 62. What is the remainder when 418 is divided by l(-23)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 11)*(-17)\/(-4). Let v be (-6)\/(-8) + 177\/(-12). Let g = j + v. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*o + k + 6 = 83*o, 5*o - 10 = 5*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70514 + 70514 + 2691*s**2.\nAnswer: 2691*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 15*c + 48. Let x be z(-3). Suppose -x*v = 5*t - 5*v - 15, -2*v + 10 = 0. Solve -t*r + 14 = -i, -5*i + r - 10 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1650 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11561412 and 276.\nAnswer: 265912476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547224 is divided by 15200?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*c**2 - 10*c**2 + 15*c**2)*(-5*c - 7*c + 6*c - 6*c - 8*c).\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 + 133*m - 135*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 3*r**2 + r + 4. Let d be z(2). Let h(b) = 231*b**2 + 2*b - 2. List the prime factors of h(d).\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-72)\/90 + 43\/60. Suppose 5*t - 228 = -3*i, -30*t + 2*i + 152 = -27*t. Let u be 6\/4 - 60\/t. What is the closest to u in 0.6, -1\/6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131231011 (base 4) in base 10?\nAnswer: 121669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, 0.2, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*g - 7*g - 1338. Suppose g = 6*o - 113. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -12*j**2 - 6*j - 6. Determine c(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.2261496 + -7.226. What is o rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6339296 months in decades?\nAnswer: 0.01361608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12222511375.999999836 + 12222511335. Let f = -41 - p. What is f rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuucucucuuccuucuucu. What is prob of picking 4 u?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30371\/(-605) + 47)\/(416\/120)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 5, 2\/5, 1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2 = 2*x - w, 4*w + 8 = 3*x. Suppose -m + 7 - 19 = x. Is (67\/(-4))\/(3\/m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/80)\/((-711)\/(-948)))\/(54\/(-585))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 18*g + 2. Let w be f(-19). Let j = -17 + w. What is the least common multiple of 14 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4138 take away 0?\nAnswer: -4138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 412560 and 335880.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -17*w**2 - 15*w + 13. Let p(q) = -9*q**2 - 9*q + 7. Let d(r) = -3*k(r) + 5*p(r). Let i(o) = -6*o**2 + 3. What is 3*d(t) + 4*i(t)?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 761*y**2 + 10090*y + 2605. Give i(-13).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10368 and 176?\nAnswer: 114048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 12*l + 10*l + l - 10*l. Let i(h) = -2*h. Give i(x(f)).\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/4654959?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 55*q**3 + 537*q**2 - 913*q + 430.\nAnswer: (q - 43)*(q - 10)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11322*r**3 + 7*r**2 - 90453 wrt r?\nAnswer: 33966*r**2 + 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5 + 107*b**4 + 3262*b**3 + 19562*b**2 - 49343*b + 26411 = 0. Calculate b.\nAnswer: -49, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2952.98149 + 0.01851. Let z = u + -2896.07. Let q = 58 - z. What is q rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24628?\nAnswer: 2, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**(-11))\/m))**(1\/36)\/(m**(-3\/14))**(-9) assuming m is positive.\nAnswer: m**(-67\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/4 + 39*v**3\/4 - 277*v**2\/4 - 315*v\/4.\nAnswer: v*(v - 7)*(v + 1)*(v + 45)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**4 - 3*u**3 + 2*u**3 - 12*u**4 - 39*u**4 + 37*u**2 wrt u.\nAnswer: -1176*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 24 + 30 = 4*f, -5*f = 2*b - 19. Let d be (2 + -984)*(0 + -1). Suppose f*g = 1 + 2, -3*g - d = -z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 309275911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102941949116 - 12353123531143\/120. Let h = y - -746962. Let b = h + 41\/15. Find the common denominator of -21\/5 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -38 + (352\/12 - (-110)\/(-132))?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1031*x - 920. Is 9 a factor of w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -107 + 107 + 14*j**3 + (35*j**2 - 9*j**2 + 15*j**2)*(-2*j + 7*j - 4*j).\nAnswer: 55*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 218 + -219. Let y(u) = 5*u**2 - 6*u - 6. Let l(f) be the second derivative of -f**4\/12 + f**3\/6 + f**2\/2 + 2*f. What is q*y(g) - 6*l(g)?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19288259 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.9 or -15\/572?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*y**3 + 14464*y**4 - 14457*y**4 - 2*y**5 - 6 + 7 + 0*y**5 + 2*y**5 - y**5 + (y**2 - 2*y + 2*y)*(4*y**3 - 3*y**3 + y**3).\nAnswer: y**5 + 7*y**4 + 19*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -2 + -4)**2 + sqrt(72).\nAnswer: -66*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c + 1. Let g(l) be the first derivative of 3*l**2 - l - 4. Let m be ((-15)\/6)\/((-1)\/(-2)). Determine m*y(w) - 4*g(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.5, -0.2, 9\/4756?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 2:52 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 466 and 4.35?\nAnswer: 461.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 10:06 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 14*z - 30. Determine q(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-16)*32\/24\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 - -5)*(0 - -1). Let f = 1 - y. Suppose 0 = w - a - 2*a + 11, 3*w + 3*a = 27. Solve -f*x + w = -4*q, -2*x + 2 + 0 = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45657 and 3456?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -267477945 rounded to the nearest one million?\nAnswer: -267000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6475 - 6479. Sort -2, -5, 34, t, 0 in increasing order.\nAnswer: -5, t, -2, 0, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 4:20 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15069 - -20214. Is y a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -163.831 + 165. Let g = 1.29 - t. Let h = g - -28.179. What is h rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3 + 26\/(-6). Let z be 16\/(-12)*d\/30. Let i = -3 + 4. Which is the third biggest value? (a) 0 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638119 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -293141*j - 169. Give t(0).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:28 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-99)\/(-121))\/(2\/(-11))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -453941*i. Let m(x) = 4*x**2. What is m(q(g))?\nAnswer: 824249725924*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**8\/5040 + c**7\/1260 - c**5\/180 - c**4\/72 + c**3 + 10. Let j(d) be the third derivative of w(d). Let j(p) = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 19*o**3\/3 + 2*o. Let n be c(-2). Is 2\/1*n\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-2968)\/312 + (3\/(-117))\/(81\/486).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f - 15. Let x be s(11). Is (-54)\/x*56\/(-12) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a minute in seconds?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 6) + -56 + 70.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - r + 0)*(-2*r + 4*r - r) + 4*r**2 - r**2 + 0*r**2)*(-2 + 2 + 76*r).\nAnswer: 152*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, 2, -42, 0.5 in decreasing order.\nAnswer: 2, 1, 0.5, -10, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 33 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 - 2*q + 1. Let k be c(2). Suppose -6*m + 10*m + 16 = 0. Let o = 12 + m. Solve -k*w + o = -4*s - 3*w, -s - w = -4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*p + v + 21, 18 = 3*p - 3*v. Which is the fourth smallest value? (a) 89 (b) -5 (c) 2\/15 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + u**2 - 5*u**2 - 5*u**2 + 3*u**2 - 2*u**2 + (0*u + 0*u - u**2)*(1 - 1 - 1) - 45 + 45 - 16*u**2 to the form w*u + f + i*u**2 and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + d**3 - d**3 + (-d - 2*d + 5*d)*(-2 + 2*d**3 + 2) + (d + 1 - 1)*(45*d**3 + 46*d**3 - 97*d**3).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppv when three letters picked without replacement from {u: 1, z: 3, p: 1, v: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c. Let z(i) be the second derivative of 8*i + 0 + 0*i**2 + 0*i**3 - 4\/3*i**4. Determine v(z(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2 - 3. Let d(g) = 73*g**2 - 2*g. Determine d(h(o)).\nAnswer: 1825*o**4 + 2200*o**2 + 663","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47, 41, 35?\n\"Answer: -6*m + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1238)\/7428)\/((-9)\/(-4) - 1). Which is bigger: -26 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-1092)\/26)\/(-3)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*v - 392*v + 10595 = 638*v - 24385 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 - 13*p - 9. Let x(n) = n**2 - 1664*n + 0*n**2 + 1661*n - 2. Calculate 6*q(v) - 26*x(v).\nAnswer: -2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 595 and 385?\nAnswer: 6545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4817, -45 in decreasing order.\nAnswer: 2, -45, -4817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 6. Let q be 2 + 3 + (-20)\/y. Find the second derivative of 15*u - 17*u + 2*u**3 - 2*u**3 - q*u**4 wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -21 - h + 66 + h**3 - 14 - 29*h**2. Let j be u(29). Solve -5 = -3*w - j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22 + 145*x - 9 - 172 wrt x.\nAnswer: 145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39 - 39 + 5*s**3)*((3*s - 4*s + 2*s)*(-3 + 3 - 2) + s - s - s + 0*s + 2*s - 3*s) to p + t*s + z*s**2 + i*s**3 + r*s**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 5:51 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -30061579 divided by -3?\nAnswer: 30061579\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -45518, -182239, -410108, -729125, -1139290, -1640603, -2233064?\n\"Answer: -45574*j**2 + j + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -5, 3781 in increasing order.\nAnswer: -5, 0, 2, 3781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**8*h)\/h*h*h*h**5\/h)\/((h*(h*h**(-8\/3))\/h)\/h**10) assuming h is positive.\nAnswer: h**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1623 and (4 + -11)*72\/(-21).\nAnswer: 12984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b = 10*b + 8*b - 1225948. List the prime factors of b.\nAnswer: 2, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -397 divided by 4\nAnswer: -397\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4294 + -4292.027. Let f = n - 2.34. Let q = f + 0.067. What is q rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/2436 and -82\/20097?\nAnswer: 80388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 397084*r**2 - 2*r + 474950?\nAnswer: 794168*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2 + 4. Let i(r) = -r**2 + 1. What is 12*i(g) - 3*x(g)?\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 7*r + 3*r = 9*r - 14, -3 = 3*j - 3*r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.91219742 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 39 - 42 = 0. Suppose 0 = -7*o + 4*o + 9. Solve o = -v*y - 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4149468356 to the power of 1\/3, to the nearest integer?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 - 2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 368.1377m to kilometers.\nAnswer: 0.3681377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2*t = 20, 3*f = 7*f + 3*t - 39 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -39*z**2 + 26*z + 4. Let y(p) = 79*p**2 - 51*p - 7. Let j(k) = 7*n(k) + 4*y(k). Find the second derivative of j(r) wrt r.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4\/7 (b) -2\/17 (c) 1 (d) -0.2 (e) -0.358 (f) -50\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1072 - -222174147\nAnswer: 222173075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*g**2 - 1 - 67*g**2 + 184*g**2 + 71*g**2 in the form s + j*g + f*g**2 and give f.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**8*(b*b**21\/b)\/b*((((b*b**8)\/b)\/b)\/b*b)**(-19\/4) assuming b is positive.\nAnswer: b**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:33 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 6*z**2 + 3*z + 19. Let k be f(-6). Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*l - 4*i - 171, 0 = -3*l - 4*i - 108. Let x = 64 + l. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 322 = -2*r, -u - u - 863 = -5*r. Calculate the greatest common divisor of r and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1276.\nAnswer: 1\/638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2486, 19834, 67016, 158978, 310666, 537026?\n\"Answer: 2491*u**3 - 29*u**2 - 2*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b. Let d(u) = -u**2 - u + 1. Let c(a) = -6*a**2 - 5*a + 5. Let q be 4\/12 + (-58)\/(-6). Let p(i) = q*d(i) - 2*c(i). Calculate p(f(m)).\nAnswer: 288*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (2 - 0) - (-71 + -25 + 52 - -76).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -2*q - 2*o - o, -4*q - 4*o = -164. Let b(w) = w - 5. Let r be b(-7). Is 13 a factor of q\/r*(-2 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8*(-1 + 3\/2). Suppose 6*t - 3*t = 3*k + 72, 2*k + d = 0. Suppose -3*g + t = -g. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b + 516 = 59*b. Suppose 0 = -3*f - 4*u - 55499992, f - 15*u + b*u = -18500006. Round f to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {j: 5, z: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*g**2 - 716*g**2 - 135*g**2 - 883*g**2.\nAnswer: -1993*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -12. Suppose -73 = -13*h - 60*h. Sort h, x, 0.4 in decreasing order.\nAnswer: h, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -33, 83\/5, -1\/8, -2\/7?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + j**3 - 3*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/4, 11, 1.426.\nAnswer: -3\/4, 1.426, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - v + 11 + 3, -18 = 5*p - v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19a3 - -17a?\nAnswer: 1b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 59*q**2 - 40*q + 16. Let c(d) = -2*d**2 + 8*d - 2. Let v(s) = 5*c(s) + r(s). Let u(f) = 97*f**2 + 11. Give -6*u(w) + 11*v(w).\nAnswer: -43*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(4 + -4)\/4. What is the remainder when 3\/9 + f - (-2680)\/15 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -1. Let x be (-16)\/(-6) + 1\/m. Solve b + 2 = x*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + -104b3?\nAnswer: -104ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 13. Let q(z) = -z + 3. Let k be q(t). What is the second derivative of -32*o + 27*o - k*o**2 + 15*o wrt o?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*y = 44, -y + 38 = -2*q - 0*y. Let f be 2\/3 - 24\/q. Find the second derivative of 4*k + 6*k**f - k**2 - 10*k**2 wrt k.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 4, y: 16}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 735*y - 347*y - 267*y to m + h*y and give h.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57.8 + -3.1.\nAnswer: -60.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 13068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533943.\nAnswer: 3, 41, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39329 - -77781. Let p = n - 26752. Round p to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -337655188, -337655186, -337655184, -337655182, -337655180?\n\"Answer: 2*j - 337655190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 + 34. Suppose 47*m - 36*m = 66. Let i(g) = -7*g + 693 - 693 + m*g. What is i(w(y))?\nAnswer: 3*y**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.85391 to one dp.\nAnswer: -48.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 6*q**2 + 5*q - 3*q - 5*q**2.\nAnswer: q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a week?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/936 and -103\/2808.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 300.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53383 or -53386?\nAnswer: -53383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35542645.3 - 35542409.03270072. Let f = q + -236.4673. Let w = f - -0.2. What is w rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*s + 144. Calculate the least common multiple of 32 and s.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290118 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 13*c - c**2 + 2*c + 20 + c. Let s be q(19). Let l = s - -3. Solve 1 + l = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13213132 + 31?\nAnswer: -13213101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and -120*(2\/(-8))\/((-11)\/(-22))?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 21*r**2 - 3*r**4 + 16*r**2 + 273*r**3 - 292*r**3 to c*r**2 + y + p*r**3 + o*r + l*r**4 and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5*j - 64 = -14, 3*j - 18 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -431 + 708 - 23*j**2 - 275 - 11*j**3 in the form r*j**3 + d + s*j + z*j**2 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2860 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: Which is the closest to 2? (a) -5 (b) -3 (c) -911 (d) -1.39 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1832, -9014, 1.\nAnswer: -9014, 1, 1832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57*h**2 + 63*h**6 + 2*h - 6*h**6 - 2*h wrt h.\nAnswer: 6840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(4*2*sqrt(5) + sqrt(5)) - ((2*sqrt(162) + sqrt(162))**2 + -5 - sqrt(162)).\nAnswer: -1453 + 82*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from {p: 11, q: 1, a: 2, h: 2}?\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3\/3 + 2442*f**2 + 14638*f\/3 - 7322 = 0?\nAnswer: -3661, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(7\/((-3)\/3)). Which is the fourth biggest value? (a) s (b) 0.4 (c) -3 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*s + 56*s + 36 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 4*z**2 - 2*z - 1. Let u be m(2). Let r = 247\/6 - 41. Sort u, r, -0.4 in descending order.\nAnswer: u, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 13*s**2 - 4*s + 59. Give m(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1272 - 1233. Solve 40*q + 3 = w*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/134 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-10)*(-6)\/10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -327, -1213, -2667, -4689, -7279, -10437, -14163?\n\"Answer: -284*z**2 - 34*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33675\/2996 bigger than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**3\/11 - 31953*g**2\/11 - 63816132*g\/11 - 15952036\/11 = 0.\nAnswer: -3994, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a**2 - 9*a - 542. Let f(q) = 16*q**2 - 20*q - 1083. Calculate 4*f(j) - 9*t(j).\nAnswer: j**2 + j + 546","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -8215?\nAnswer: -8215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 + 7*s**3 - s**3 + (-s**2 - 3 + 3 + 2*s)*(64*s - 38*s - 39*s) to m*s**3 + l*s + f*s**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-12\/5)*v)**(-11\/7) assuming v is positive.\nAnswer: v**(-33\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w + 0*w + 3*w. Let a be o(-5). Calculate the highest common factor of 25 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-6)\/(-8))\/(201\/67))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*j**2 + 1644077*j - 13486352?\nAnswer: 10*j + 1644077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/(2236\/(-1092))*5\/60*7.\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -3, -4, -30721.\nAnswer: -30721, -4, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uupj when four letters picked without replacement from duujuujp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 3*r**2 - r + 1. Suppose 12*x = 11*x + 3. What is q(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23194 (base 13) to base 16\nAnswer: fa03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqcccc. Give prob of picking 1 c and 2 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*h = 30. Let c = 1 + 9. What is the remainder when c is divided by (-32)\/(-12)*h\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-3198.3.\nAnswer: -41577.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5349?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.9 - -13.9. Let o be (-4)\/20 - (11937\/(-135) - 1). Let s = o + -89. Put 0.1, -0.2, s, m in descending order.\nAnswer: m, s, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**3 - 3*p**3 + 2*p**3)*(11*p - 8*p + 11*p) + (-5 + 0 + 3)*(-3*p**4 + 2*p**4 + 2*p**4).\nAnswer: 68*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4838, 8120, 13590, 21248, 31094?\nAnswer: 43128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 65*b**3 + 3*b**2 - 5*b - 29. Is m(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*g = 54*g - 58344. Is -1326 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*a - 33*a - 12*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 8. What is the remainder when 5 is divided by o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*d + 4*z - 141 = 415*d, 0 = -d - 5*z - 6 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 7. Let f = 94 - o. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:47 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 6:45 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -135 - -3408?\nAnswer: 3283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2. Let y(b) = -2 + 9*b + 2*b - 2*b. Determine f(y(a)).\nAnswer: -81*a**2 + 36*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpc when three letters picked without replacement from {p: 8, c: 1, f: 4}.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**8\/840 + j**7\/525 - j**6\/60 - j**5\/150 + 2*j**4\/15 - 4*j**3\/15 - 11*j**2. Factor t(n).\nAnswer: 2*(n - 1)**3*(n + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79 - 39 - 45 + 3*y**2 - 2*y**2 + 3*y**3 + 2*y**2 to the form o*y**2 + f*y + j*y**3 + k and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 895 and 90?\nAnswer: 16110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -494994231*z**2 - 374128883*z wrt z?\nAnswer: -989988462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -416, -546, -676?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*y - 395 = 4*b - 414, -y + 6 = b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 - -129. Let y = -69 + f. Which is the closest to y? (a) -5 (b) -0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7585, -15169, -22753?\nAnswer: -30337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*j - 50. Let l be 15\/4 + 2\/8. Suppose 0 = l*r + r - j. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 40, 0, 571, 4, -19 in descending order.\nAnswer: 571, 40, 4, 3, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 44695 and -15219.\nAnswer: 29476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 18. Put -5, n, 2 in increasing order.\nAnswer: -5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 0*v**3 - v**3)*(0*v + 0*v - v**2) + 4 - 4 - v**5 + (0*v**4 - 2*v**4 + v**4)*(-3*v + 2*v - v).\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*p, -3*i - p + 44 = -8*i. Calculate the common denominator of -83\/38 and (-549)\/(-70) + i\/40.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4696143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280830.38*5.\nAnswer: -1404151.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113032875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**5\/30 + 11*w**2. Let j(z) = 2*z**2. Give y(j(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (34 + (-4681)\/124)*((-18)\/(-7))\/(10\/(-28))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35674173?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 6*n + 126. Let f be 239\/861 - ((-153)\/n - 7). Let p be ((-6)\/12)\/((-1)\/(-2)). Is p >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -18, -19, -20, -21, -22?\n\"Answer: -b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*h - 2, -3*r + 5*h - 92 + 57 = 0. Let y = -106\/21 - -16\/3. Which is the nearest to 0.1? (a) y (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.134853104 + 0.0174\nAnswer: 1.152253104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**3 - 31*q**2 - 539 wrt q.\nAnswer: -6*q**2 - 62*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/10 + 1\/(-2). Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -285502, -570566, -855630?\n\"Answer: -285064*n - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2569 = 3*h, 4*h + 3828 = 3*x - 0*h. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -656 divided by -16\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 17 = -3*b, 5*w - 5 = -3*b + 4*w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4207*y + 3779*y - 2140 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143161 and 1198?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) -2\/19 (b) 2\/9 (c) 75\/56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-40)\/15)\/((-4)\/288). Let p be (-4)\/10 + j\/80. Solve 0 = -7*i + p*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3592 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uua when three letters picked without replacement from {a: 12, u: 7}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-296)\/24 - 1\/(-3). Let r = -32 - p. Let j be (8 - -6)*6\/r. Is -4 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-14)\/(-10))\/((-1)\/(-5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 270.\nAnswer: 1\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 1:31 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452575.\nAnswer: 5, 43, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25989.028 - 26047. Let o = d - 0.028. Let b = 58.00000059 + o. What is b rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 - 35*t. Let p(d) be the second derivative of -d**3\/3 - 2*d - 14. Determine a(p(l)).\nAnswer: -12*l**2 + 70*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12223 is divided by 610?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Find the third derivative of b + 21*b**a - b - 14*b**2 - 9*b**6 wrt b.\nAnswer: -1080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61597 + 123976 - 62012 - 3*n to the form x + v*n and give x.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 19*l**2 + 74*l - 154. Give w(15).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**4\/24 + 13*l**3\/6 + 3*l**2. Let z be s(8). Let m be (-1)\/2*2 + z. Put 0, m, 3 in decreasing order.\nAnswer: m, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20615 is divided by 542?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 11*b + 15. Calculate j(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27622 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 204050 to the power of 1\/2, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -60*x**2 - 2*x + 3. Let z be s(2). Let u = 153 + z. Let k be (-28)\/(-210) + u\/(-15). Calculate the greatest common divisor of 36 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -c + 5*r + 160, 0 = -5*c + 3*r + 1760. Let u = c + -146. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428206 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4896 = -21*i - 15*i. Suppose -15 = 2*j - 49. Calculate the highest common divisor of j and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 5\/8*l**4 + 31\/6*l**3 + 3\/2*l**2 + 0*l + 69. Let a(r) = 0. Calculate r.\nAnswer: -6, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -143669, -143659, -143649?\n\"Answer: 10*k - 143679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 0*x - 4*x + x**2 + 3*x. List the prime factors of t(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -42e1 - 15a?\nAnswer: -444b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 22) + (-105 - -84) + 21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*l - 331 + 6*l + 5*l**2 + 331 wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5. Suppose b + 3 = 4*l - o*l, -b = 2*l - 15. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6660 is divided by 350?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131566 is divided by 475.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33.081 * 2.\nAnswer: 66.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**30*d**(-14)\/d)\/(((d**(-5)*d)\/d)\/(d*(d*d*d**(-15)\/d*d)\/d*d)))**45 assuming d is positive.\nAnswer: d**360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-86)\/(-5 + 3)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from {w: 1, b: 8, k: 1, s: 4, u: 2, e: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1277757 + -13?\nAnswer: 1277744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493398 - 203757 = -15*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2000556373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20546.5 - 20547. Let z = 0 + 0.1. What is the second biggest value in 6, w, z, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 8:05 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x, -7*r + 3*r + 80 = -3*x. Let p = 42 + -20. What is the smallest common multiple of r and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 855 and 380?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1552 + 3107 - 94*c - 1549 to n + k*c and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 6*h - 1. Suppose 4*r - o = -13, -2*o - 11 + 22 = -3*r. Let c be u(r). Let b(i) = -18*i + 0 + 1 - 3*i. What is b(c)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 689507 and 364?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*((s*s**(-19)\/s*s)\/s)\/s*s)\/(s\/(s\/(s*s**(3\/4)))*s) assuming s is positive.\nAnswer: s**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-133)\/(-21) + -7)*(-3)\/(-7). Suppose 5*d + 2*p - 54 = 0, 3*d + p - 8 - 25 = 0. Suppose -d = -3*c - c. Sort y, -2\/9, c in decreasing order.\nAnswer: c, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*(5\/10)\/(4\/4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 3:24 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141 + 238. Let n = -28 - -40. Suppose -n*o + 22 = -110. What is the remainder when h is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, x: 11}. What is prob of picking 3 x and 1 u?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggwabyuuw. Give prob of sequence wgwy.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5681024.7 to the nearest one thousand.\nAnswer: -5681000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*(-4 + -3*sqrt(1584))*-2.\nAnswer: 160 + 1440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/7456222 and -107\/498.\nAnswer: 22368666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-1\/48)\/f))\/f*f**(2\/79)\/f)\/(f*f**(-12\/7)*f**(-36)) assuming f is positive.\nAnswer: f**(949225\/26544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11122906?\nAnswer: 2, 199, 27947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.38. Let u = 0.16 + l. Let v = u - 0.54. Which is the closest to 1\/5? (a) v (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 29*s**2 - 13*s**2.\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 30. Let y be ((-168)\/196)\/(3\/(-14)). Calculate the highest common factor of y and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209824 and 1106?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2772\/5390 - (-8)\/(-10). What is the nearest to l in 0.3, 181, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pouyloyltlul. What is prob of picking 1 u, 2 y, and 1 p?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, e: 1, y: 8, k: 5, d: 1}. What is prob of picking 1 k and 2 y?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.6631 to the nearest integer.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34364, 69344, 104322, 139298?\n\"Answer: -m**2 + 34983*m - 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c + -1?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*c + 30, c - 24 = 3*d + 22. Let u(b) = 6*b + 5. Let a be u(-6). Let o = d - a. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/(-8)*(-245)\/(-147)*(-12)\/(-25).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + 2*c + 0*c)*(-17 + 8 - 20) to r + z*c and give z.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10884 by -2721.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + l + 8*l to the form a + w*l and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**5\/6 - 49*m**4 - 6403*m**3\/2 + 52672*m**2\/3 + 20710*m = 0?\nAnswer: -190, -109, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2085065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 10*k**2 - 25*k. Let u(i) = -27*i**2 + 4*i + 4*i + 24*i**2. Calculate 7*u(h) + 2*y(h).\nAnswer: -h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 221.7654 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 y when four letters picked without replacement from {k: 1, m: 2, n: 6, t: 3, y: 2}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {b: 1, h: 1, d: 2, w: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1320\/(-198)*5*3\/10\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2)*(1 - 7 + 2)*(14*p**2 - 5*p**2 + 4*p**2).\nAnswer: -156*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(3564)*-2*3)\/(sqrt(4) + -4*(sqrt(4) - sqrt(100)) - (-2*sqrt(324) - sqrt(324) - sqrt(324)))*-1)**2.\nAnswer: 1154736\/2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -541.0486 + 602.104. Let s = 61 - f. Round s to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8961186 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 516.55 - 518. Let q = g - -1.45. Let b be 4\/14 - (-24)\/14. What is the closest to q in b, 1\/6, -1\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1691049 and 453.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-24199160.\nAnswer: -4839832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 53*l**7\/35 - l**4\/6 - 8*l**3\/3 + 25*l**2. Find the second derivative of r(o) wrt o.\nAnswer: 3816*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11004 by -4.\nAnswer: -2751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/((-315)\/50)*7. Suppose g = w - 12. What is the remainder when w is divided by 46\/4 + 1\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 468, -3, 8 in decreasing order.\nAnswer: 468, 8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c. Let k be -2 + (-2 - -12) + c. What is the greatest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.16 and 49736.5998.\nAnswer: 49736.7598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(2)*2 + 5.\nAnswer: 2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, -11, -15?\n\"Answer: -4*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 0*s**2 + 0*s**3 - 6*s + 0 + 1\/5*s**5 - 2\/15*s**6 + 2\/3*s**4. Factor n(k).\nAnswer: -4*k**2*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pegpvvlgpgvvpj. What is prob of sequence ljpv?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 divided by 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 - 32033?\nAnswer: -31312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 6*o**2 + 6*o + 60. Let a be u(-6). Solve 0 = -22*q + 30*q + a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174979297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k**2 + 2*k + 2. Let p(y) = -12*y**2 + 3*y + 3. Suppose 0 = 36*h - 35 - 145. What is h*p(s) - 8*i(s)?\nAnswer: 4*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**3\/6 + 2*h. Let a(l) be the first derivative of 57*l**2\/2 - 27259. Give s(a(q)).\nAnswer: 57*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32bdc (base 14) to base 5.\nAnswer: -12414321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-1305.34\nAnswer: -1305.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - ((sqrt(242) - 1*sqrt(242)) + 5)**2) + ((sqrt(32) + 1)*1)**2.\nAnswer: 8 + 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177*285244.\nAnswer: 50488188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 11076737?\nAnswer: -11076744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**5\/20 - f**4\/12 - 4*f. Let t be w(4). Suppose 5*i = 3*v - 350, -2*v + t = -5*i - 187. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 4. Let i = x - -6. Let t(m) = 2*m**2 - 231*m + 1002. Let r be t(111). Solve -2*y - y + k + 4 = 0, y + i*k + r = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5628)\/3015*9\/(-21)*1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4838 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 2382 - 2364. Solve k = 7*k - i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 6 - (-1 + 4 + -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/5*70\/(-28). Suppose x = 2*l - 4. Suppose 3*h = -l, 4 = 3*k + 3*h + 1. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a. Let x = 29 - 20. Let w = -1 + x. Let v(y) = y - w*y - 5*y - 6*y. Determine v(l(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**4 + 342*d**3 + 5820*d**2 - 251064*d - 522720 = 0 for d.\nAnswer: -66, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1433505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 31*d. Give m(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**17))**(-3\/16) assuming h is positive.\nAnswer: h**(51\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 391356 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 5*q + 7, q + 2*l + 6 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -3\/7 (c) 0.1 (d) 3 (e) 14 (f) 1 (g) -11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 406.2434ng?\nAnswer: 0.0000000004062434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16586.6 times -3\nAnswer: 49759.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 1. Let a(k) = -8*k - 4. Suppose 0 = 67*g - 69*g + 10. Determine g*j(u) - a(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.3 (b) 2\/17 (c) -43 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/1338 and 19\/27.\nAnswer: 12042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bb7 (base 14) to base 11.\nAnswer: -5956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 4*s = 2*b + 26, -5*b - 13 = 3*s. Suppose s*l - 78 = -g, -5*l - 15 = 3*g - 116. Suppose -p + n = -15, p + 0*n = 5*n + l. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -13. Suppose -k = -x - 5. Calculate the remainder when 31 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -662 - 13. Let u = 945 + k. Is u a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1974933 by -3.\nAnswer: -658311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(18) - sqrt(162)\/sqrt(9))\/sqrt(6)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -175 - -172 - (9 - 14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 88576 = -o + 6*o, 0 = 3*o + 4*t - 53139. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 21*p - 424 = 0. Suppose p + 217 = 13*u. Let k be u\/12 - (-3)\/(-12). Do k and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 22 = -4*k, -4*n - 37 + 8 = 3*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 282?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010001000011001 (base 2) to base 10.\nAnswer: -172569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -500 - -512. What is the highest common factor of 510 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(-39 + 30*x + 39)*(-x - 4 + 4).\nAnswer: 90*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-537*p + 484*p + 252*p)*(5*p + 0*p - 3*p)*(-6*p - p + p).\nAnswer: -2388*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23952 - 23952.045572. What is f rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:07 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1162206 + r**2 + 1162206 + 4*r**2 + 621*r - 216*r = 0 for r.\nAnswer: -81, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424182 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/18 - (-364)\/63. Suppose -5*l - f - f - 21 = 0, 3*f + y = l. Suppose 2*w - h + 7 = 0, -4*w + 4*h - 26 = -6. Put w, 1, l in increasing order.\nAnswer: l, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (12 + -3))\/(-3)*6*(-69)\/(-6).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.018 in -0.3, 0.06, 4, -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**5\/30 + z**4\/12 + z**3\/3 + 3. Let x(q) be the third derivative of r(q). What are the prime factors of x(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 2}. Give prob of sequence uu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40794, 82027, 123260, 164493, 205726, 246959?\n\"Answer: 41233*n - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 41. Let d be (2\/2)\/(a\/5). Suppose d*q + 0*p = p + 1230, -5*q + 5*p = -1230. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 8) to base 5.\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 11*b + 708 = 4*x, x + 147 = b. Suppose -2*c + b = -12. Calculate the remainder when c is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j + 301 = a, -j + 97 = -3*a. What is the lowest common multiple of 22 and j?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 + -97. Let s be l + (-36)\/42 - -5. Put s, 1\/6, 0.4, -1 in decreasing order.\nAnswer: 0.4, 1\/6, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 3:28 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 630065.38 rounded to the nearest one thousand?\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 498 = -1218. Calculate the greatest common divisor of n and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -10*l - 10. Calculate w(-8).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*b + 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0*w**4 + 1 + 0*w**2 + 0*w**5 - 28\/3*w**3 + 28*w - 7\/30*w**6. What is the second derivative of x(u) wrt u?\nAnswer: -84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-495)\/25)\/(2*9\/(-7290)) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g + g - 232*g**3 + 4*g**2 - 3*g + 5*g + 5*g wrt g?\nAnswer: -1392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 105?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 437521633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d = 0. Let c = 82 + -124. Let f = 81\/2 + c. Is f greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219\/4 or 56?\nAnswer: 219\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = 5*n + g, -3*n - g + 5 = 0. Suppose -n*w - 3*u - 1 = 0, -4*w + 2*w = 4*u + 4. What is the biggest value in -0.06, w, -2\/3, -7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 1\/8 (c) 5 (d) -6.4 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*v**2 + 25*v + 58*v**2 + 53*v**2 as w*v + z*v**2 + d and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -2.98, -5\/19, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 520433664 divided by 8264.\nAnswer: 62976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o = 0. What are the prime factors of -2 - o - -1 - -11?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2 = s + 1, 2*s + 7 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4330*g**2*r**3 - 5*g**2*r + 3*g**2 - 2*g*r**3 + 2*g*r**2 - 11*r**3 - 4*r**2 + 131*r wrt r?\nAnswer: 25980*g**2 - 12*g - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (106\/(-8))\/((-30)\/(-4)). Let d = n - -8\/5. Let x = -2 - -3. Are x and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 9 - 12 = 0. Let s = y + 21. Which is the nearest to -1\/3? (a) 4 (b) s (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*f - 41 - 42 + 82 to x*f + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 26206, -5, 0.01, 0.15, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66772800 and 122416800?\nAnswer: 734500800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 172 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + 0*i + 3 + 0)*(2 - 3 + 0) as n*i + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 15*n = -12*n + 37, 4*r - 74*n = -81*n - 48 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/(-750)*(5\/4)\/((-42)\/12)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 3*h - 56 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 + 30*h**2 + 157*h + 53. Give g(-6).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1517, -7198, -16675, -29954, -47041, -67942, -92663, -121210?\n\"Answer: -o**3 - 1892*o**2 + 2*o + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*a - 33. Let h(g) = g**3 + 10*g**2 - 11*g + 4. Let u be h(a). Suppose 7 + 3 = 5*y - u*z, 4*z = -y + 2. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h = -1244367 + 1243531 for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005745 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -6*q + 49. Calculate the remainder when q is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuvvhuuehv. What is prob of picking 4 v?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33\/1348310 or -2\/7?\nAnswer: 33\/1348310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 39 = 206*x - 201*x, -2*x - 7*m - 6 = 0 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oobiyyoyoboooypboio. What is prob of picking 2 o?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1172*u**2 + 559*u**2 + 89*u**2 + 85*u**2 + 170*u**2)*(1 - 2 + 5).\nAnswer: 8300*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*p + 24 = 0, -2*l + p + 20 = -2*p. Find the second derivative of q + 531*q**2 - 4*q**l - 531*q**2 wrt q.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-5 - -1) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684 is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**8\/14 - v**4\/3 - 4*v + 3. Let t(y) be the first derivative of x(y). What is the third derivative of t(m) wrt m?\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 5, 0 in decreasing order.\nAnswer: 5, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 8*a**2 - 10*a + 5. Give p(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + w - 2 = 2, -4*r + w = 7. Let x be r*(51\/(-9) - 1). Suppose -2*y + 60 = -0*y. Calculate the highest common divisor of y and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3*(-9)\/12. Let b = -4 + 4.1. What is the closest to a in b, -3, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22, -92, -208, -370, -578, -832?\n\"Answer: -23*s**2 - s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 260?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 - 5*j**2 + 4*j**2 - 18*j**2. Let q(d) = -92*d - 2. What is c(q(v))?\nAnswer: -135424*v**2 - 5888*v - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142608132.\nAnswer: 2, 3, 3961337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (4 + -3 + 1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**2 + 0 + 1\/24*n**4 + 0*n + 4\/3*n**3. Let k be m(-8). Let j(s) = s**3 - s + 7. Calculate j(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4291?\nAnswer: 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124510*s + 41506*s + 41504*s + 41497*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569598?\nAnswer: 2, 3, 94933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(9\/2) + (-3929)\/19584 and -3\/2?\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2 + 47*o + 5 - 49*o. Let p be (-2088)\/(-16) - (-3)\/(-12)*6. Let n = p + -123. Determine v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - -1. Let y = -16 + 19. Let f be (y\/(-9))\/(3\/2). Which is the nearest to f? (a) z (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1305819*q**6 - 48681*q**2.\nAnswer: 156698280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110044.999934693 - 110045. What is w rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -110*x**3 - 5*x**2 - 3*x - 4. Let g be v(7). Round g to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 2*z**3 + 0*z**2)*(-3 + 3 + 7*z**2) + 2*z - 2*z**5 - 2*z.\nAnswer: 12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.95 and -95.\nAnswer: -92.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -84*(7\/(-2) - -3). Let u be (8\/w)\/(16\/(-24)). Let o = -27 - -83\/3. What is the second biggest value in o, u, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40321375 (base 8) to base 9\nAnswer: -16878124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 5.6. Which is the closest to 2? (a) 3 (b) d (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 6.2. Let w = -395 - -395. Let r be 1*-5 - 0\/(-13). Which is the closest to -2? (a) r (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32.19 + -33.19. Sort c, -108, -1\/3.\nAnswer: -108, c, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*w + 1048, w - 24*n + 504 = -19*n. Let f = 610 + w. Calculate the highest common factor of f and 1296.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 110. Suppose y + 2*n = h, 3*y - 2*n - 237 = 3*n. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - -1 - (20 + -23) - 11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21019\/8172 + -280\/227. What is the common denominator of ((-23)\/4)\/(-23) - 53\/24 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 961 by 271.\nAnswer: 961\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79656824.\nAnswer: 2, 13, 765931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b**4 + 2*b)*(-b + 1 - 1) - 3*b**4 - b**5 + 3*b**4 - 7*b**5 + 11*b**5 + 12*b**5.\nAnswer: 14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/55*5\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5\/3 - 3130*p**4\/3 - 6256*p**3\/3.\nAnswer: -p**3*(p + 2)*(p + 3128)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/108)\/(70\/1120).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - (sqrt(104) - (sqrt(104) - (sqrt(104) + sqrt(104)*-2 - sqrt(104)))*-1 - sqrt(104)) - 1*2*sqrt(104))\/(5*sqrt(64)\/(sqrt(256)\/sqrt(2))).\nAnswer: -16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2 + 1. Suppose 5*x - 4 = x. What are the prime factors of w(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/((-486)\/72))\/((-18)\/315*-2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 0 - 3\/80*p**5 + 3\/2*p**3 + 60*p - 11\/16*p**4 + 0*p**2. Factor m(o).\nAnswer: -3*o*(o - 1)*(o + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 254177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + 18*g + 13. Let m be z(9). Let a = -64 - m. Suppose -2*v + a*r + 378 = 0, -4*v = -4*r - 1143 + 379. List the prime factors of v.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 68 + 76 = 0. Suppose 6*u = 2*u + r. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -874 + 874 + 26*o**2 + 20*o wrt o.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 390429977 to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 + 96*l - 1116. What is m(-44)?\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 23*j**2 + 51*j + 19. Calculate h(-21).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-12) - 129\/(-9). Suppose b - y = 30. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5550523487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3343560 rounded to the nearest 10000?\nAnswer: -3340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n + 5. Let k(b) = 5*b + 59. Let g be k(-11). Determine l(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 8:41 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - l + l)*(-1 + 3 + 1 + 1 - 2 + 0 + (1 + 3 - 2)*(1 + 1 - 3) - 4 - 1 + 3) as g + h*l and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 171a474 (base 11) in base 2?\nAnswer: 1011001010101101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*((-12)\/(-10))\/((-133)\/(-3325))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.060409016 rounded to five dps?\nAnswer: 0.06041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/1600)\/((-747)\/(-1992))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1082.43 + -870.6. Let r = 212 - p. Which is the third smallest value? (a) r (b) -0.1 (c) -2\/9 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -75*t + 225. Let s be v(3). Solve -3*c - 20 = -b - 3, s = 4*b + 4*c + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 10 + 4 + 0*v**2 + 0 + 11*v. What is the units digit of b(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*s = -385*s - 5*c + 7, -s + 3*c - 7 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67399, 269589, 606573, 1078351?\nAnswer: 1684923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-1 + -5) - -1. Suppose -3*t - 14 = -f*u + 4*u, 0 = -5*u - 3*t + 16. Suppose -d = 2*i - 13, u*d + i - 31 = d. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmlzznlll. What is prob of sequence lzm?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/24 - 51\/60. Let l be 11\/1 - 6\/(8\/(56\/7)). What is the biggest value in v, l, -1.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.6, 5, 0.3, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 110, 114, 118, 122, 126, 130?\n\"Answer: 4*f + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/5 + 14*q**3\/5 - 6*q**2 + 18*q\/5.\nAnswer: -2*q*(q - 3)**2*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/37 (b) -0.3 (c) 1\/2 (d) -15 (e) 34 (f) -4 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 233, -10, -3905, -1\/3?\nAnswer: -3905","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*t = 7*t + 10, 0 = y - 4*t + 4. Suppose y - 8 = m. Let a be ((-6)\/(-4))\/((-2)\/m). Solve 0*p + a*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 2769424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -5*a - 6585*q + 6583*q, -5*q + 80 = -5*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*b**3 - 3650*b**2 + 73795*b - 77550 = 0. Calculate b.\nAnswer: 10\/9, 33, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-10)*700\/(-560)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -2) + (24 - 43) + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -20*z**3 + z**2 + 2*z + 1. Is b(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*283\/((-99333)\/936)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/6)\/(-1))\/((242\/22)\/176)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/13 + 70*v**2\/13 + 334*v\/13 - 406\/13 = 0.\nAnswer: -29, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*w**4 - 1274*w**3 - 4*w + 1274*w**3 + 4*w - w - 13 wrt w.\nAnswer: -1008*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34139 - 34138.9. What is the third smallest value in 4, 1\/3, 1, 8\/3, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*t = -71 + 25, 4*b + 36 - 64 = 14*t + 160 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67659971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.13 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -641 - 47 = -4*t. Let k = 19 + t. What are the prime factors of k?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*a**3 + 25*a**3 - 29*a**3.\nAnswer: -29*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n. Let y(f) = -206 + 418 - 1045*f**2 - 643*f**2 - 212. Give r(y(o)).\nAnswer: 11816*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.16 - -1.3. Let w = 3.1 - 4. Let l = n + w. What is l rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 3*j. Let a(s) = -7*s**2 + 45*s - 30. Let i(q) = -a(q) - 4*k(q). Factor i(h).\nAnswer: 3*(h - 10)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6536*s**2 + 426*s. What are the prime factors of j(-2)?\nAnswer: 2, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212210 - 1012?\nAnswer: 211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 615.8 + -616. What is the second biggest value in -2\/9, 2, -0.3, 295, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82451.\nAnswer: 41, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, r: 4, t: 2}. What is prob of sequence ttbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*m = -515, 2*s = 3*s - m - 101. List the prime factors of s.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1690\/(-819) + (-1104)\/(-483). Let -26\/3*r - 22\/9*r**2 - t*r**3 - 10 = 0. Calculate r.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3375, -3360, -3345?\n\"Answer: 15*o - 3390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2734 = -63*a + 319 + 3436 for a.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19942 - 8983 = -13*b. Does 25 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -735 - -1003. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 + 83 - (10 - -1) - 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j + 4*c - 14 = 0, 3*j = -3*c + 18. Let d(p) = -j - 2*p + 93 - 18 - 21. Calculate d(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*f**2*q**3 + f**2*q**2 + 4651*f*q**3 + 1212*f - 43*q**2 wrt q?\nAnswer: -174*f**2 + 27906*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3461 (b) 8 (c) -3 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) -2 (c) 0.04 (d) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 620, 2458, 5508, 9764, 15220, 21870?\n\"Answer: -j**3 + 612*j**2 + 9*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, 2\/317, 5016 in ascending order.\nAnswer: 2\/317, 0.14, 5016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9) - ((-488)\/252 - -2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 147.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 10*v**3 - 2*v**2 + 3152*v - 6299. Determine y(2).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -248*n**2*q**5 - 19488*n**2*q**3 + 3*n**2*q**2 - 36*n**2*q - 24*q**2 + 189*q + 5 wrt q.\nAnswer: -14880*n**2*q**2 - 116928*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 629832 and 191688?\nAnswer: 4408824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 252 + 105. Suppose -n - 2*y = -r, 3*n - y = 2*n + 48. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/5 + 1037\/(-305). Let i = -2 - -2.01. What is the closest to i in g, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -75*n**3 - 110*n**2 + 64*n - 14. Let k(t) = 376*t**3 + 550*t**2 - 320*t + 72. Let c(u) = 3*k(u) + 16*y(u). Factor c(s).\nAnswer: -2*(s + 2)*(4*s - 1)*(9*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 times 2629\nAnswer: -31548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-9))\/(3\/(-63)). Let z = -10 - y. Let i(q) = -2*q - 4. Let m be i(z). Solve m*x - 25 = -3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 2. Let l = 57 + -87. Let u be ((-172)\/l)\/2 + -3. Put k, u, 1 in descending order.\nAnswer: 1, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 3, -0.244945?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 101183182.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -851.898+3384859\nAnswer: 3384007.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(91)*-6 - (sqrt(91) - -2*sqrt(91))*5))\/(3*(((sqrt(1008) - (sqrt(1008) - 2*sqrt(1008))) + sqrt(7) - sqrt(7)) + sqrt(7))*-5).\nAnswer: 6*sqrt(13)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1609, -1608, -1607, -1606, -1605?\n\"Answer: u - 1610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 177 and -0.3.\nAnswer: -53.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2 - 7*q + 3. Let n(h) = 11*h**2 - 21*h + 8. Suppose 4*w = -14 - 18. Let x(m) = w*v(m) + 3*n(m). What is x(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12910669*r**2 + 11527400 wrt r.\nAnswer: -25821338*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 45345?\nAnswer: 45337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6\/95 - -353\/4085. Let m = -97\/473 + t. Sort m, 6, -3\/4, 4 in ascending order.\nAnswer: -3\/4, m, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25210467*p**3 - 14791182*p**2.\nAnswer: 151262802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 4*a - 61. Let j(c) = -2*c**2 - 7*c + 122. Let l(x) = -3*j(x) - 5*p(x). Let r be l(0). Let q = -31 - r. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641.584mg in micrograms?\nAnswer: 641584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -83*d**4\/24 - d**3 - 5*d**2. Is s(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51730868 to the nearest integer?\nAnswer: 7192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 608 (b) -16 (c) -3\/10 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from {v: 3, s: 2, y: 4, f: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*k = 0, 0*k - 15 = 3*r - 3*k. Let s = 36 - r. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 5)*((3 - 3 + 5*z)*(-2 + 0 + 3) - 4*z + 4*z + 3*z).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -183244, -366482, -549708, -732916, -916100, -1099254, -1282372, -1465448?\n\"Answer: r**3 - 183245*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 + 36*d**2 - 3*d + 2*d**3 + 5 - 30*d**2. Let c be s(5). Let r(y) = y**2 - 15*y + 6. List the prime factors of r(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-100) - ((-283999823)\/(-25) - -7). What is j rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o**2 - 3*o - 10. Let w = -95 + 100. Let j be v(w). What is j rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 0.1, 1\/2, -39.\nAnswer: -39, 0.1, 3\/8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.16? (a) -0.072 (b) -24 (c) -21\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 3*s + 31, j - 12 = 4*s + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crn when three letters picked without replacement from {c: 3, r: 3, n: 13}.\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 1\/5, -0.12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/((-1)\/((-9)\/(8109\/34)))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 11 = -1. Let d = 8 + -8. Let h = d + -2. Put n, 5, h in decreasing order.\nAnswer: 5, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, v: 1, u: 3, o: 1}. Give prob of sequence jvj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4790\/6)\/(2 + 15\/(-9)). Suppose 2*i + 5*v + t = -1943, 6512 = -3*i - 5*v. What are the prime factors of (-12)\/(-54) + i\/(-18) + 2?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 251358 - -3004778. Suppose -5*p - v + 23791892 = 0, -p + f = 2*v - 1502246. Let a = p - 9058378. Round a to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -170, -1\/18, -2\/291?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 1. Give r(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1346 or -232?\nAnswer: 1346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240770095 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-16)\/o**10)**49 assuming o is positive.\nAnswer: o**(-1274)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -476, 834, 2144, 3454, 4764?\nAnswer: 6074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, a: 6}. What is prob of picking 3 a?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x. Let u(v) = 4*v**2 - v. Let p(c) = c**2. Let t(m) = 6*m + 75. Let s be t(-12). Let k(o) = s*p(o) + u(o). Determine z(k(r)).\nAnswer: -7*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4463.8 times 5?\nAnswer: 22319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 9*n = 5*b + 45, 0 = 5*b. What is w in n*w**2 + w**3 + w**2 + 0*w**3 + w**3 + 12 + 26*w = 0?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 9*a**2 - a - 18*a**2)*(-2 + 1 + 6)*(-3*a + 5*a + 3*a).\nAnswer: -725*a**3 - 25*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 287 and 67407443526.\nAnswer: 67407443813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24816223 to the power of 1\/2, to the nearest integer?\nAnswer: 4982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -869373*l + 62594853. Give p(72).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5\/2 - 229*c**4\/2 - 4695*c**3 + 5389*c**2 + 48815*c\/2 + 28875\/2 = 0.\nAnswer: -175, -55, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + -60.9755. Round q to three decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53868 equal to 95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -1 - 218\/3*h**3 + 5\/2*h**2 - 8*h. Let a be y(-8). Round a to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 + 35648*q**2 + 10370832*q.\nAnswer: -4*q*(q - 9194)*(q + 282)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 1, x: 2, l: 2, u: 1, e: 1}. What is prob of picking 1 g and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -285345\/7864 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 968 = -2*q + 12*v, 0 = 2*v + 2. Calculate the remainder when q is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 1446*k + 174243.\nAnswer: 3*(k + 241)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 389072.\nAnswer: 1\/194536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278 + 1046 - 255 + 78*k - 257 - 60*k - 256.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrjissrrjjsjjrrjrj. Give prob of picking 1 j and 1 r.\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4180011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005054457 rounded to 7 dps?\nAnswer: 0.0005054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 1\/2, -16, -2 in descending order.\nAnswer: 1\/2, -2, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -143, -11 in descending order.\nAnswer: -1, -11, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7497*l**2 + 7529*l**2 - 14998*l**2.\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**2 - a + 15. Let h be d(-11). What are the prime factors of -1 + h\/(-9) + (-2)\/6?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + p - 6*p + 0*p**2 + 1. Let s be -7*(-20)\/84*6\/(-4)*-2. Determine j(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003590946 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 2\/7, 0.1, 2\/9, -2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16464 + 4162. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -2. Suppose -3*k - a = -4*k - 2*i, 4*i = 2*k - 22. Let o be 45\/12*(-300)\/(-125). Is o <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:00 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*s + 7677. Let a = -138091\/18 - s. Find the common denominator of a and 0 + 0 + (-2)\/(-48).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -29 + 104. Let r(f) = -f**2 + 13*f + 22. Let n be r(c). Let b = 12 + n. Solve 0 = -y + b*u - 5, -3*u = -y - y - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/7847745?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) -1\/3 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z - 1. Let r(p) = p + 1. Let h(m) = q(m) - 4*r(m). Let f be h(8). List the prime factors of ((-2)\/(-6))\/(f\/45).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 - 6*s**4 - 34*s**3 - 56*s**2 - 39*s - 10.\nAnswer: (s - 10)*(s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 12472 = 10*k. Suppose 10*d = 8*d - k. Let w = d - -4437. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 17.9. Which is bigger: z or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*r - 15 = 310 - 61, -t - 4*r - 10 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2)*p)**(2\/77)\/(p**(2\/9)\/p*p**(5\/2)*p*p) assuming p is positive.\nAnswer: p**(-5105\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1510994 and 2339.\nAnswer: 1510994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5702 = 2087. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z - 6. Let j be b(3). Let y = 60 + 35. Let s = y - 92. Solve -s*v = -j - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.56*-309250\nAnswer: -173180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1264232558?\nAnswer: 2, 761, 830639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2618, -5, 4, -6.\nAnswer: -2618, -6, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 350 and 2114?\nAnswer: 52850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*u - 152*u = -8762 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6541.\nAnswer: 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6335 and 8145?\nAnswer: 57015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/16*-2*(-520)\/65.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1284687*o + 3545112*o + 3023824*o - 1068641*o.\nAnswer: 4215608*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117374 (base 14) to base 15.\nAnswer: bb978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7912409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93)\/62)\/((-33)\/8).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 + 43*z**2 + 14*z + 210. Let k be y(22). Let d be (3\/(9\/111))\/1. Which is bigger: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 4*g**3 - g + g**3 - 2*g**3 - g**4 + 2*g**3.\nAnswer: -g*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*g)*(680 + 420 - 88) as m + o*g and give o.\nAnswer: -2024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 20*w - 15. Let r be s(-17). Let n be 2\/(-2 - r\/(-15)). Solve n*f = 3*h + 10, 5 = 4*h + 2*f + 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 9*h**2 + 2*h - 186. Calculate w(6).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/10*-38 - -7. Let v(p) = 3*p**2 - 33*p - 186. What are the prime factors of v(b)?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 2*n - 6*n + (-n + 0*n + 2*n)*(1 - 2 + 2) + (n - 2*n + 4*n)*(0 + 5 - 2).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 = -2*c, -c + 2*c + w = 2. Let p(d) = 2*d**c - 4*d**3 - 2*d**3 + 5*d**3. Let b be p(0). Solve -4 = y, -4*q = 3*y - b - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38, -60, -82, -104?\n\"Answer: -22*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/3)*z)**(3\/29)*((z*(z\/(z\/z**2))\/z)\/z)\/(z*z**(2\/5)*z))**(-12\/11) assuming z is positive.\nAnswer: z**(2016\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373, -2290, -7353, -17134, -33205?\nAnswer: -57138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + i - 8 = 0, 7*g - 2*i = 2*g + 6. Suppose -y - g*l - 342 = 3*l, 3 = l. Let f = -2863\/8 - y. What is the common denominator of -13\/10 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w + 252 = 4*t - 47*w, 0 = 2*t - 3*w - 126. Let b be 3*(-2 - 4\/3). Let n = 52 + b. What is the greatest common factor of t and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 5. Let g(s) = s**2 + 16*s + 18. Let q be g(-14). Let k be (20\/325)\/((-4)\/q). Which is the nearest to -1? (a) k (b) y (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 3:56 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5453 = -7*a. Suppose a = f + 100. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 32.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3154687.400766777 - 0.020766777. Let d = p + -3154683.72999847. Let u = d + -3.65. Round u to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 323*q. Is t(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*12\/18720*-4*5\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = -w - 0*w, -w + 5 = 2*r. Solve 2*x + 17 = 5*c, 0 = 5*x - r*c - c + 20 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 40*w + 3. Suppose 0 = -7*i + 4*i - 9. Let z be (48\/32)\/(i\/(-4)). List the prime factors of s(z).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-804)\/670 + (-4)\/(-3). Let r = -0.06 - -0.05. Let w(q) = -q**3 - 2*q**2 + 3*q. Let t be w(-3). Which is the closest to 2? (a) i (b) r (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 192855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**13)**(-41))**(-48) assuming n is positive.\nAnswer: n**25584","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5\/15 - 4*c**4\/15 - 138*c**3\/5 - 352*c**2\/3 + 2176*c\/15 = 0. Calculate c.\nAnswer: -8, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 11*f = 8*f - 10, -3*f + 42 = 9*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4) + (-56)\/(-176). Which is the smallest value? (a) x (b) -15\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122748257.\nAnswer: 122748257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.38871 to 2 decimal places.\nAnswer: 49.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1360 and 80.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 5*b + 8*m, -3*b + 3143*m - 3140*m + 36 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5922 and 14006.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12, 7, -4\/7, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83204, 332807, 748812, 1331219, 2080028, 2995239?\nAnswer: 4076852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -3 (c) -4 (d) -65 (e) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d. Let i(r) be the first derivative of 0*r + 1\/8*r**4 + 1 - 7\/2*r**2 + 0*r**3. Let u(y) be the second derivative of i(y). Determine u(f(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2878 + -2879. Let f be -2 - (2 - -5 - 1). Let n be f\/(1 + c + (-12)\/(-180)). What is n rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h - 31596411 - 571403589 = 0. What is h rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -347 (base 8) to base 16\nAnswer: -e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-39)\/2)\/(3\/(-4)). Suppose 0 = -z + 2*s + 9, -z + r = z - 2*s. Solve 2*k - 2*f = -3*k - 22, -5*f + z = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) -0.16 (c) 5 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*x - 3, 4*h - 22 = -2*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(836\/(-19)))\/(2\/36)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 78\/4*(-8 + (-28)\/(-3)). Suppose -5*i = 10 - 130. Suppose -v + 5*d + 12 = -p, 0 = 2*v + 3*d - i. Calculate the remainder when 35 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-11\/4)*(v**(-4\/7)\/v)\/v*v*v*v**(-5)*v)\/((((v**(2\/7)*v*v)\/v)\/v)**48\/(v**1)**(5\/2)) assuming v is positive.\nAnswer: v**(-221\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18230*i**2*j**2 - 418*i**2*j + 2558441*i - 3*j**2 wrt i.\nAnswer: 36460*j**2 - 836*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -15. Let v = -1 - f. Solve 0*j = -j + v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = j - 4*j. Suppose -a + j = 12. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24060482472 and 23?\nAnswer: 24060482495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 + 25 - 25 + 2*p. Let k be j(-8). Suppose 0 = -0*i - 4*i + k. Calculate the greatest common factor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 618742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 155*r**2. Let m(v) = -v**2. Determine p(m(l)).\nAnswer: 155*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 1234044202?\nAnswer: 1234044221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 514*g - 131617. Give w(258).\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**(-5\/2)*h)))\/h*h*h*h**8*h*h\/h**(-4)*h*h**(-3\/5) assuming h is positive.\nAnswer: h**(139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 1142329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -1 + 4)\/(-2). What are the prime factors of (1 + (-303)\/r)*(-56)\/(-35)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 0*i**2 + 2*i**2 - 543*i + 14 + 520*i. Let y be q(11). Solve 2*x + 2*s = y*x - 1, s = x + 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -14\/5 (b) 4 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 774 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -2) + 54\/36.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 10*o**3 + o**2 + 2*o - 2. Calculate the remainder when 163 is divided by u(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 + 2*x + 1. Let j = -7 - -6. Let c be y(j). Suppose 5*q - 15 = c*w, 0 = 2*q - 3*q + 3. Put w, 1\/3, 3 in decreasing order.\nAnswer: 3, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m + 5. Let q be p(-5). Suppose -z - z - 4 = 0, 3*w = 3*z + q. Suppose w*d - 1858 = 17574. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 110269*c - 110277*c - 264 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 942229.9mm in nanometers?\nAnswer: 942229900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*o + 6 = 0, 2*o = 4*k + 3 + 1. Suppose -2*u = -0*u + 8, 5*q + 5*u - 30 = k. Solve 0 = -w + g - 2, 3*g + g = 3*w + q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18761353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 45.15167 years?\nAnswer: 0.04515167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (sqrt(22)\/(-2*sqrt(11))*5)**2.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4752655?\nAnswer: 5, 950531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a + 2. Let c be x(-1). Suppose -c*s + 337 = 72. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 46*(-3 + 5\/(20\/16)). Suppose -p = 30*k - 53*k. Solve k*d + 6 + 0 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1153 + -47?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 154 - 149. Find the third derivative of 12*g**4 + 5*g - 3*g - g**2 - 39*g + g**z wrt g.\nAnswer: 60*g**2 + 288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6022, -6025, -6026, -6025, -6022, -6017, -6010?\n\"Answer: y**2 - 6*y - 6017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -435 + 443. Solve -3 = -m, 5*p + 29 = 4*m - s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22623.3406 to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 13, 16?\n\"Answer: 3*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101120102 (base 3) in base 12?\nAnswer: 8ab85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -1437.\nAnswer: -17244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 298.68 times -11\nAnswer: -3285.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3243 + 5*q**3 - 6592 + 3235 - 2*q**2 - 3*q**3 to g*q**3 + z*q**2 + w + u*q and give w.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8143 + -3?\nAnswer: 8140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/15)\/((-2)\/30). Solve 4*u + 11 + y = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -55*r - 829. Determine k(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000817794 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*i + 0*i + 1 = 0, -3*c = -2*i - 31. Suppose -c*s + 2*s - f = -43, s = 4*f + 17. Calculate the greatest common factor of s and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, l: 3, b: 1}. What is prob of picking 1 l, 1 b, and 1 t?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 590 + 3 + (4 + -6 - -3). List the prime factors of 215754\/b + (8\/18)\/(-2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1568.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 122*p**3 - 75*p**3 - 78*p**3 + 21*p**3 - 5*p + 5*p + (2 + 1 + 0)*(-2*p - 2*p**3 + 2*p) in the form o + s*p**2 + w*p + d*p**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 30. Give d(-37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 1. Let b(s) = -s**2 - 5*s + 5. Let n be b(o). Let x = n - -56. Round x to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(76) + -1*sqrt(76)))\/(5*sqrt(12)\/sqrt(3)) + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000129684738 to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25301016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89314*j**2 + 178636*j**2 - 89511*j**2.\nAnswer: -189*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 - 601?\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0 = -3*a. Let o = -14 + a. Let j be (-38)\/133 + (-60)\/o. Solve q + 2*q = 4*g + 4, 0 = j*q - 4*g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*5*(-1038)\/865\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17874635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = 0. Let g = 0.1 + -0.2. Let k = 6\/19 - -8\/95. What is the nearest to g in -4, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11246.477 rounded to the nearest ten?\nAnswer: 11250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 64. Let j be p(-21). Suppose j*b = 61133 - 21467. What are the prime factors of b?\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51865870 to the nearest one million.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40519, -40553, -40587, -40621, -40655, -40689?\n\"Answer: -34*v - 40485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -92 - 136. Let l be i\/(-8) - (-25)\/(-100). Sort l, 0, 47, 5 in increasing order.\nAnswer: l, 0, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13236?\nAnswer: 2, 3, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/30 and 131\/3220.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 1119?\nAnswer: 10071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(l**2 - l**3 - l**2) - 5*l**3 + 2*l**3 + l**3 + (-3 + 1 + 4)*(3*l - 3*l + l**3).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 105156217 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(567)*-5 + sqrt(567))*-5 + (-4 + sqrt(567)*4)*6)*-1.\nAnswer: 24 + 684*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-7 - (-8 - 22)) - 56\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + s**2 - 6*s - 1. Let w be p(-4). Let b be (7 - 11) + w\/(-7). What is the smallest value in b, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - 9*b**2 - 2*b - 9. Is u(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17969, -71852, -161649, -287354, -448961, -646464?\n\"Answer: h**3 - 17963*h**2 - h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 200112002 (base 3) to base 13\nAnswer: 61b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-5)*c)\/c)\/(c**(2\/7)\/c))**(-18)*c*c**(-2\/5)*c**(-1\/10)*(c*c**(1\/2)*c)**27 assuming c is positive.\nAnswer: c**(1016\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -25590 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3876 - 2700. What is the greatest common divisor of 24 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -268*y**4 - 483*y**3 - 31*y**2 + 535*y**4 + 29*y**2 - 269*y**4 - 696 wrt y?\nAnswer: -48*y - 2898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.7 + 25.7. Sort -15, 0.5, a, -2\/13.\nAnswer: -15, a, -2\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448754?\nAnswer: 2, 59, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133322 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 3*i - 6. Let s be l(-5). What is the second derivative of -s*t**3 - t**3 + 6*t**3 - 3*t wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453 - 148 + 19*g - 164 - 166.\nAnswer: 19*g - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001787246613 to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7. Suppose h = 3*b + 1 + 11. Put -3, 9, b in ascending order.\nAnswer: b, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1304.355 times -1.8\nAnswer: -2347.839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**2. Let k(n) = 7*n - 91. Let l(j) = 16*j - 186. Let z(g) = 13*k(g) - 6*l(g). Calculate r(z(s)).\nAnswer: -75*s**2 - 2010*s - 13467","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3)\/(1\/3). Let k = 3 + t. Let u(p) = 275351 - 6*p + p**2 - 275351. Let f(l) = -l. Give k*u(c) - 6*f(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14444 by 7586.\nAnswer: -7222\/3793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -430362 at most -430432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54.5 - -54.8. Let r = -1 - -1.2. Let g = r + 0.3. Put -3\/7, g, l in descending order.\nAnswer: g, l, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 29291?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 2\/7 (b) -5 (c) -13991\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**2*z**3 - u**2*z**2 + u**2*z - u**2 - 4*u*z**3 + 857*u*z**2 - 93177*z**4 + z**2 - 32 wrt z.\nAnswer: 6*u**2 - 24*u - 2236248*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7567739.\nAnswer: 41, 131, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.0377 (b) 3\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/16*-28*12\/21. Solve -h*k - p - 21 = 0, 0*k - 4*k = 4*p + 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -56, -93, -150, -233?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 983\/9 + -109. Which is the third smallest value? (a) 1\/4 (b) p (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 180*r**4 - 1007520*r**3 + 2350145*r**2 - 1370775*r.\nAnswer: 5*r*(r - 5595)*(6*r - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 - 75*s**3 - 44*s**3.\nAnswer: -113*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 148. Give t(36).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-77)\/(-70)*-32*5. Let i = p - -8. Which is smaller: -169 or i?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from aaddhhaahdadah.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45874778 greater than 45874778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 9 + 7. Suppose -2*f = -0 - w. Suppose f*k + 14 - 42 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2028, 1652, 1276, 900, 524, 148?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/6)\/((-2)\/72). Suppose 10 = -k + i. What is the biggest value in -0.3, -2\/11, k, 2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/297400 and 97\/297400.\nAnswer: 297400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.143 - 55?\nAnswer: -55.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 88720 rounded to the nearest 1000?\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35126483?\nAnswer: 7, 607, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2756 + -1095. Let n(m) = -4 + 0 + 1652*m - y*m. Give n(6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + b**2 - b - 1. Let d be c(2). Suppose -o = -q - 5*o - d, -3*o - 18 = -q. Solve -z - q = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 64\/(-1) - (-19)\/((-19)\/8). Suppose 2*f = 5*x - 755, -2*f - x = -5*f - 1152. What is the remainder when f\/(-9) - 16\/j is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (272 - -198 - 468) + (-1 - 0 - -69)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/4*((-240)\/25 - -2). Let x be 3 - 2 - 3 - 31. Let y = j - x. Sort 0.1, y, 1\/2 in ascending order.\nAnswer: y, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - h**2 + h - 6. Let m be w(2). Suppose -3*t - 15*s + 16*s = -42, m = 4*t - s - 57. Let l be 6\/4*20\/6. Solve t - 5 = l*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/5 (b) -0.2 (c) 30 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*j - 68 = 78, -4*j + 78 = m. Let w = 149 - m. Suppose 0 = 3*y + p - 299, -4*y - 4*p + 333 = -w. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -496\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/3*(-24 - (-1332)\/48). Let f(p) be the second derivative of 0 - 1\/90*p**r + 0*p**2 + 8*p + 0*p**3 - 1\/27*p**4. Let f(c) = 0. Calculate c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 12*v - 6*v - 3*v + 19. Let w(u) = -2*u - 3. Let s(q) = -a(q) - 2*w(q). Let m(h) = -2*h. Determine s(m(i)).\nAnswer: -2*i - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-4)\/24)\/((-6)\/(-18))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 174 = 16*i. Calculate the remainder when 260 is divided by i.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 4. Let t be 1 - -1 - (-1 + 3). Suppose 3*x - u*x = t. Which is the nearest to x? (a) 5 (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y - 18 + 676 + 1412 = 0. Calculate the highest common divisor of 2010 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4877128 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 7*x**2 + 6*x + 5. Let a be j(6). Suppose -i = -9 - a. What is the greatest common divisor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29338? (a) 1\/7 (b) -1\/2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.25206 rounded to zero dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3902094.\nAnswer: 2, 3, 7, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146410 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 + -23713.001.\nAnswer: -23713.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 5:27 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5608 + 5564.53. Let k = h - -44. Round k to two decimal places.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (-6)\/(-8))\/(10\/8). Let a(b) = 2*b - 7. Let x be a(5). Suppose x = -2*s + o - 0, -12 = -3*s - 4*o. Which is bigger: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643?\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5719127059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -0.15, 2520?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 741512 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0803 and -5798.\nAnswer: -465.5794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 3\/22, 0, -2\/7?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -246126, -492285, -738448, -984615?\n\"Answer: -2*u**2 - 246153*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-2)*((-13)\/(-13) + -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11497917895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 g when four letters picked without replacement from tttggttkgtqtktgqqttg?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -255*a + 277*a - 4708. List the prime factors of a.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*a**2*w**6 - 34832*a**2*w**4 - 16*a**2*w - 2*a**2 + 3931*a*w**2 wrt w.\nAnswer: 6480*a**2*w**3 - 835968*a**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 2. Let r(f) = -6*f**3 + 1. Calculate r(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*a**4*v + 211*a**3*v + 4*a**2*v + 330*a**2 + 7*a*v wrt a.\nAnswer: 1536*a*v + 1266*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-3)*n*n))\/n**1)\/(n**(1\/3)\/((n**(-2\/7)\/n)\/n))*(n\/n**6*n\/((n**(5\/6)\/n)\/n))**48 assuming n is positive.\nAnswer: n**(-2890\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/330)\/(2\/11))\/(345\/(-175) + 2)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 601*d**3 + 303*d**3 - 303*d**3.\nAnswer: 601*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*f**3 + 20967*f**2 + 27968*f + 9324.\nAnswer: -(f - 2331)*(3*f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 155\/62 - 13\/2. Let s(h) = 95*h**2 - 14*h - 32. What is the units digit of s(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 10. Let t be ((-63)\/14)\/((-6)\/(-8)). Give d(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, y: 2, l: 1}. Give prob of sequence oy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 35 + 77 = 0. Solve -m*t = -8*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 832531805 to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -602, -1390, -2494, -3914, -5650, -7702?\nAnswer: -10070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3 - b**2 + 3. Let c(k) = k**2 - 2*k. Let o(m) = 3*m**2 - 7*m. Let v(x) = 14*c(x) - 4*o(x). Calculate t(v(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from {v: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a second in milliseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/81641?\nAnswer: -2\/81641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 - 1)*(-2 + 2*q + 2) - 5*q + q + 3*q)*(-q**3 - q**3 + 5*q**3)*(-2 + 2 + 5*q).\nAnswer: -75*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36390302 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -15*t + 9. Let u(n) = n - 1. Let i(a) = d(a) + 6*u(a). What is i(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h + 30. Let c be r(0). Let m(n) be the first derivative of 7*n**3\/3 - n**2 + 6*n + 6. Let j be m(2). Is j less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-7) - (-26390)\/1421. Solve m = a - 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -5 + 6*(-24)\/36. Let m(q) be the third derivative of q**4\/3 - 5*q**3\/6 + q**2. Let s(h) = -2*h + 1. Give i*s(b) - 2*m(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -185 - -273. Let i = 88 - a. Let j = -0.1 + i. Which is smaller: j or -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*u**5 + 24273*u**3 + 7*u**2 - 45*u + 434823 wrt u?\nAnswer: -240*u**3 + 145638*u + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 9*z**2 - 11*z + 5. Let i be u(-10). Suppose -6*f = -f - i. Find the second derivative of -4*v**3 + 6*v**3 - 4*v**f - 2*v wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 8:13 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q**2 - 36*q**2 + 3 - 3 + 62*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + b**2 - 2*b**2 + b**2 + 2*b**2 - 2*b**2 + (b + 3*b - 6*b)*(b - 2*b - b) + b**2 + 4*b**2 - 4*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1082 - 1079. Which is smaller: 0.98 or r?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 396.69 times -0.13\nAnswer: -51.5697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 921024, 1842314, 2763608, 3684906, 4606208, 5527514, 6448824?\n\"Answer: 2*d**2 + 921284*d - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 123208956?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 132 and 18.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21661162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 36*r**2. Suppose -21 = -3*s + 5*p, 0 = -6*s + s - 3*p + 1. Let o(d) = -2*d + d - s*d + 5*d. What is o(m(n))?\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - p - 5, 3*d = -2*p + 4*p. Which is the nearest to -0.4? (a) d (b) -1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34803851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j**4\/3 + 113940*j**3 + 1460340485*j**2\/3 - 486865620*j + 365170580\/3 = 0.\nAnswer: -8546, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -20, 0.5, -8\/9, 432?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 0.04 (c) 358 (d) 0.1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -398*s**3 - 22*s**2 - 16*s wrt s?\nAnswer: -2388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -509 + 509. What is the closest to v in -2.9, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1\/7, 5, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 12. Suppose 7*z - 48 - r = 0. Let j(x) = 4 + 4*x + 2 - z*x - 7*x. Let q(t) = -4*t + 2. What is -2*j(c) + 7*q(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 61, -15.\nAnswer: -15, -3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + 0*z + 0*z)*(3*z**2 + 2 - 3 + 0).\nAnswer: -21*z**3 + 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-2))\/((-20)\/(-48)). Is 94\/(p\/10*30\/(-207)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/52911 and 17\/5249947?\nAnswer: 47249523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 263*i + 28. Give r(-3).\nAnswer: -761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-7 - -1 - -32).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 25*o**2 - 8*o - 961. What is k(23)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79, 85, 85, 73, 43?\n\"Answer: -o**3 + 3*o**2 + 4*o + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.51 - -1198.49. Let u = v - 1080.6. Round u to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**3 + 3*a**2\/2 - 3*a + 1. Let z be c(2). Let t = 180 - 719\/4. Are z and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4342*f**3 - 2152*f**3 - 2443*f**3.\nAnswer: -253*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3154, -12606, -28348, -50362, -78630, -113134, -153856?\n\"Answer: 3*o**3 - 3163*o**2 + 16*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 8 = -2*u. Let a(x) = -x**3 + 6*x**2 + 8*x + 14. What is the least common multiple of u and a(-2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 252?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 2\/27 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206 - 177 - (-135)\/9.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 129, 303, 543, 843, 1197, 1599?\nAnswer: 2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 15*v + 7. Let s(p) = 5*p - 3. Let y be s(2). Let t be q(y). Solve t*d + 6 = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10200102 + -12?\nAnswer: 10200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 3 - (2 + -5 + 15 + -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 878, 1\/4, 4\/43?\nAnswer: 878","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 5*r**2 - 8*r - 4. Let k = 2 - 1. Let a = 8 - k. Suppose -3*h = 3*p + a + 26, -3*p + 7 = -5*h. Give v(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1520512 and 95032?\nAnswer: 1520512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-4 - (7 - -3)) + -8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 + 4*x**2 - 4*x**3 + (x - x - 3*x**2)*(x - x + 2*x).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 5*x + 1 + 27, 2*x + 221 = -69*q + 3*x - 3*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(800) + 0)**2 + -5.\nAnswer: -80*sqrt(2) + 799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 5:41 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + -44. Let w be ((-1)\/2)\/((-10)\/8). What is the nearest to w in 0.3, z, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 13 - 14 - -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -275, -632, -1143, -1814, -2651, -3660?\nAnswer: -4847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -218*c + 314. Let m(h) = 145*h - 194. Determine -8*m(z) - 5*y(z).\nAnswer: -70*z - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -8. Let p(z) = 126*z**2 + 2010*z - 101. Let q be p(-16). Put q, 17, 1, v in decreasing order.\nAnswer: 17, 1, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-3)\/(-12))*-12 + (-640)\/(-96).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11804 + -129842\/11. Factor -20\/11*p**3 - 80\/11*p + 6*p**2 + l*p**4 + 32\/11.\nAnswer: 2*(p - 4)**2*(p - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p - 14*p = -47*p + 30 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 18*k**2 - 31*k + 8. Let x be g(14). Calculate the greatest common divisor of 52 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37, 70, 103?\n\"Answer: 33*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-12) + 38514490\/8. Let m = -22137683 - -8423372. Let k = j + m. What is k rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + m**3 - 26*m**2 + 132*m**2 + 0*m**3 + 47.\nAnswer: m**3 + 106*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32885023*l*m + 63891000*l wrt m?\nAnswer: -32885023*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-5))\/(564\/(-752)))\/((-8)\/(-320))\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c + 22. Suppose 3*p + 11 + 4 = -5*b, c = b - 2*p. Suppose n = 3*l + 4, n = -l + 5*l + 3. Solve b = -2*s + n*s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 6 = -4*o - 0, -20*o + 4*p = -95*o + 153 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 3:10 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 0*m**2 + 2 + 0*m + 4\/3*m**3. Let l(d) = -3*d. Calculate l(w(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -6*d + 4. What is the third derivative of -19*i**2 - 11*i**d + 4*i**3 + 40*i**2 wrt i?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/7*n - 9\/7*n**3 - 3\/7*n**4 + 0 + 12\/7*n**2.\nAnswer: -3*n*(n - 2)*(n + 2)*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*w. Is w >= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 1 - 1)*(4*i**2 + 19 - 19) - 92*i**4 - 69*i**4 + 49*i**4 + (-i + 4*i - 2*i)*(i**3 - i**3 + i**3) + 0*i**2 + 0*i**2 - 2*i**3 + 2*i**4.\nAnswer: -101*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 - -219. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/1214 and 117\/440.\nAnswer: 267080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.42707 rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 12:56 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6851?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4832.669 centimeters to kilometers.\nAnswer: 0.04832669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14794080\/13 + 11228737283\/9867. Let v = 85\/33 - l. Let q = 152\/115 + v. Put q, 5, -4 in increasing order.\nAnswer: -4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81267 and 10185990?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**2. Let i(r) = 75*r**2 - 34. Let a(d) = 226*d**2 - 119. Let h(c) = 4*a(c) - 14*i(c). Determine h(f(p)).\nAnswer: -3650*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50.46 - -50.6. Sort p, -1, -3, 0 in descending order.\nAnswer: p, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -0.9 (c) 0.8 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11916 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*r + 2, 4*r + 2*c - 4 = -r. Suppose -5*m + 8*m = r. Let j = 1 + m. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.54 + -0.16. Let x = -0.3 - v. Which is the smallest value? (a) 4 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 2*v + 32 = 0. Suppose -3*a = v*p - 222, -5*p + 26 = -5*a + 361. Suppose 0 = -2*y + 10, 3*u + a = -4*y + 561. What are the prime factors of u?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 q when four letters picked without replacement from qmymqmmmiqmmyy?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1242137, -1242165, -1242217, -1242305, -1242441, -1242637?\nAnswer: -1242905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*l + 5*c - 15 = 0, 0 = -l - 5*c + 7. Suppose 2 = l*s, 2*b - 9 = -s - 0*s. Solve -b = -i - 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.1 - 4.09999942. What is n rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 3, w: 1, n: 2, d: 1, s: 4}. Give prob of sequence sd.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12916911 to the nearest integer?\nAnswer: 3594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Suppose -285*c = -267*c - 18. Let g(o) = -2 - 3*o + 3 + 2*o. Let l(i) = 4*i - 3. Let y(p) = c*l(p) + 3*g(p). What is y(j(a))?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 4*z - 2*z**2)*(7 - 22*z**2 - 8 - 2*z + 0).\nAnswer: 44*z**4 + 4*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 528753 * -0.0634.\nAnswer: -33522.9402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*w - 1337 + 5109 = 47*w for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.17 + -0.23. Let i = 14744 - 14740. Which is the closest to -2? (a) l (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g - 5*g**3 - 4*g + 18*g**2 - 6*g**3 - 4*g**3.\nAnswer: -3*g*(g - 1)*(5*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9*a + 25. Determine f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*i + 367, 4*i + 3*z - 364 = -z. Let u = -63255 + 63286. What is the remainder when i is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 2. Suppose 2*g = 3*g - 4*q + 14, 0 = 5*g + 5*q - 30. Let i(v) = 2*v - 7. Let k = 3144 + -3137. Give g*i(n) + k*b(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -6. Which is bigger: 9 or a?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*f + 43*f - 88*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -3*w + 0*w**3 + 1\/3*w**2 - 1\/18*w**4 - 6. Let t(c) be the first derivative of g(c). Let t(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 373*n**6 - 189*n**5 - 19020*n**2 + 4*n?\nAnswer: 44760*n**3 - 11340*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 18*h**2 + 38*h - 68. Calculate c(16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -90*(-51)\/(-2040)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/22 - ((-1869)\/132 + 14). Factor -t*g - 1\/4*g**2 + 1\/4*g**3 + 1\/4.\nAnswer: (g - 1)**2*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1460956875 from 7.\nAnswer: -1460956868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from osoooooobosbooooyyf.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 10. Suppose 0 = 2*q + w - 124 - 34, 2*w = -l*q + 238. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 < 41153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 30?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -32. Let c = q - 1. Suppose -3*n = c*v - 133, 5*n = -3*v + v + 228. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 2775*v**3 + 8271*v**2 + 24879*v + 13830.\nAnswer: 3*(v - 922)*(v - 5)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -163.2 - -163.4. Suppose 0 = 2*z + 5 + 7. Let y be (-18)\/14 + z\/(-21). What is the closest to d in y, -1\/7, 3\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + 1 + -1 + -2.\nAnswer: -2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5 = -2*x. Let m(w) = -4*w**2 - 60*w + 1. Let l be m(-15). What is the nearest to x in -3\/7, l, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 - 20658 + 10329 + 10329. Let a(t) be the first derivative of 29*t**2 - t - 2. Give a(d(v)).\nAnswer: -116*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33240.\nAnswer: 2, 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -3*b**4\/4 - 2*b**3\/3 + b**2\/2 - 2*b + 1. Calculate the remainder when 45 is divided by u(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158\/395 - 1030\/200\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 902 + -872. Solve -6*i = -0*i + j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*d - 6 = 0, 0*d - 6 = -5*r + 2*d. Suppose r*u = 3*k + 5*u - 1, k - 5*u - 7 = 0. Factor 2\/5*x**k + 0*x - 2\/5.\nAnswer: 2*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*y - 70. Suppose -2*f - g = -91, -y = -3*g - 17. What is the remainder when f is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {e: 3, j: 1, r: 4, g: 1, w: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*z - 4, 5*z = -3*s + 12 + 4. Let d = -68 + 65. What is the closest to -0.1 in z, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 6. Let p be ((-9)\/(-15))\/((-6)\/o). Let h = 16 - 11. Which is the third smallest value? (a) h (b) p (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005528907567 rounded to seven dps?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15136?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*p**3 + 182483*p**2*r - 64*r + 53768 wrt p.\nAnswer: 48*p**2 + 364966*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - x - 2)*(-23 - 16*x + 23) + (-x - x - x)*(-25*x + 43*x - 29*x).\nAnswer: 49*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-1) + (-1122)\/221 + (-4)\/(-52). Let u be 15\/15 + 5\/(5\/34). Solve 0 = -j*d - u + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by -32.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086 is divided by 539?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, l: 3, t: 1, o: 8, x: 5}. Give prob of picking 1 t, 1 x, and 2 p.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 10 = -2*z, -5*z = 21 - 1. Let s(x) be the first derivative of 1\/2*x - j - 1\/3*x**3 - 1\/4*x**2. Factor s(n).\nAnswer: -(n + 1)*(2*n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21437854 is divided by 404?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -8*t**2 - 26*t - 18. Let m be w(-2). Sort m, -2, 1651 in descending order.\nAnswer: 1651, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 76, 78, 80?\n\"Answer: 2*n + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 4*p - 0*p + 4, -2*y + 5 = -5*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + j - 63, 0 = -6*t + 2*t + 3*j + 71. Calculate the remainder when 58 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 4. Suppose 2*v + 4 = b. Let n = 447.8 + -448. What is the nearest to n in -2\/13, v, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232686 and 1488.\nAnswer: 1861488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 10*q**6\/3 - q**3\/2 - 2947*q**2\/2 - 2569*q. Differentiate p(c) wrt c.\nAnswer: 400*c**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -1\/4 (c) 2\/69 (d) -61 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4381, 5558, 6733, 7906, 9077?\nAnswer: 10246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*m**2 - 46*m**2 + 7 - 45*m**2 - 30*m**2 - 16*m**2 as n + f*m**2 + q*m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12005073953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.3 + 2.5. What is f rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 896064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 4\/3 (c) 2 (d) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -u + 21*c - 22*c, 4*u + 2*c - 12 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, -228, 3, -3, -11 in descending order.\nAnswer: 3, 1, -3, -10, -11, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 4. Suppose 2 = -5*m - k + 5*k, 0 = 2*k + 4. Let f be 3\/2 - 2\/(-4). Put m, r, f in increasing order.\nAnswer: m, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 633\/4 + -159. What is the fourth biggest value in 0.1, f, 3, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -222*s**3 - 5*s - 6. Suppose 4*u - 4*t - 316 = 0, t = -u + 6*u - 383. Calculate the remainder when l(-1) is divided by u.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*c)*(-7*c - 55 + 31 + 20) + c**2 - 4*c**2 + c**2.\nAnswer: 12*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 11*s**2 - 12*s + 4. Let l be ((-7)\/(-14))\/(2\/48). Let h be v(l). Suppose 13 = h*f - 3*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 9*r**2 + 11*r + 10. Let c be o(-10). Let x be ((-888)\/648 + 1)\/(25\/(-15)). Factor c + 2\/9*p - x*p**2.\nAnswer: -2*p*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 42974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9475 and 6535.\nAnswer: 12383825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 8:02 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -774774 by -602.\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xcx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -5. Let z(u) = 3 + 448*u**2 + 55*u - 22*u - 31*u. Is z(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 3*u**2 - 10*u + 4. Let y be i(-5). Suppose 13*c - 9*c + y*n = 36, n + 41 = 4*c. Let o(t) = t**3 - 10*t**2 - 2. Give o(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(153)*-1 + sqrt(153) + -2)*6 + sqrt(204)\/(2*sqrt(24)\/sqrt(2))*3)**2.\nAnswer: -36*sqrt(17) + 725\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*w - 71846 = 0, z - 17961 = 22*w - 21*w. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - m + 43 = 11, -m - 12 - 7 = -15 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/20*2016\/(-216)*(-15)\/(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 656*g + 2770. What is the remainder when 288 is divided by a(-4)?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 326 - 161. Suppose j + 2815 = 4*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 3:19 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 0 + s - 5 - 2. Suppose -3*z - 12 + 57 = 0. Let b be ((-2)\/8)\/(z\/48)*-5. What is r(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 15*l = -28, 2*i - 4*l + 2*l + 17 = 41 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 31. Calculate the remainder when 73 is divided by d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, o: 4, h: 1, j: 5, i: 1}. Give prob of sequence hoo.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 i when four letters picked without replacement from rrdcccviccirvdcccdv.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1)*(3 + (-15 - -23)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**3 + 21*f**2 + 5*f - 13. Let a be x(3). Solve -r = 4*w - 4*r + 8, 2*r - 10 = -a*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 155*k**6\/3 + 5*k**2 - 15*k - 84. What is the second derivative of u(f) wrt f?\nAnswer: 6200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*d - 8285 + 8285 + 188*d - 389*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 36340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Let w be (-8 - -7) + 6\/s. Suppose -w*t - 3*t = -25. Solve -f + t*f + 12 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*y**2 - 35*y**2 + y + 18*y**2 - y**4 - 7 + 21*y**3 as r*y**4 + o*y**2 + f*y**3 + n*y + v and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 - 4)*(3*o - 6*o**2 - 3*o)*(-4*o**2 - 2*o + 2*o + (o + 0*o - 2*o)*(2*o - 1 + 1))*(-1 + 2 + 1) to c + i*o + l*o**2 + j*o**4 + k*o**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1637, 1641, 1655, 1685, 1737, 1817, 1931, 2085?\nAnswer: 2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 - 10*x**2 - 22*x + 42. Let r(n) = n**3 + 4*n**2 + 9*n - 17. Let u(v) = -5*c(v) - 12*r(v). What is u(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + (-14)\/(-6))\/(-4)*6. Suppose 2*v = i, 3 = -2*i - 5*v + 21. Solve s = i*s + t*p + 4, -2*s = -5*p - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 8:54 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151\/3 + -50. Which is the third smallest value? (a) -0.3 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-80)\/12 + (2 - -5))*9. Which is the nearest to -1.8? (a) 0 (b) -0.2 (c) 0.1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*n = -6 + 1, -21 = y - 4*n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 28771*c**2 - 57540*c**2 + 28769*c**2 - c + c**3 + 0*c. Let q(p) = -38*p**3 + 95*p. Calculate -q(b) - 95*v(b).\nAnswer: -57*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - x + 18, -5*r + x + 5 = -13. Find the second derivative of g**r - 4*g + 5*g + g**4 wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 23*b + 170. What is t(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*a - 6*a + 1445, -4*c = 4*a - 1140. Suppose c = 3*z - 13. Let n = -14 + z. Is 29 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 17180*h + 68716. Determine o(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + -4 - (2487 + 2)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h + 6*h - 6*h)*((2 + 6 + 1)*(0*h - 4*h - 8*h) + (-1 + 0 - 1)*(-2*h + 2*h - 2*h)).\nAnswer: -1040*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200)*2)**2 + (sqrt(104)\/(sqrt(8)*-1) - sqrt(13) - (sqrt(13) + -1 + sqrt(1053))).\nAnswer: -12*sqrt(13) + 20801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(9)\/(-1*2*sqrt(3)) + 3*(sqrt(3072)*2)**2.\nAnswer: 2*sqrt(3) + 36864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1345 + -1343. Sort 3, 0, -111, t, -1 in ascending order.\nAnswer: -111, -1, 0, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -25*q**3 + 3*q**2 + 2*q - 2. What is the hundreds digit of i(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -107906*i. Let y(v) = -7*v**2. Calculate y(m(p)).\nAnswer: -81505933852*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from -140022433169.\nAnswer: -140022433163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 12:12 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 53*s + 16 = -50*s, 4*v = s - 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.3, 0, 3\/5, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 13) to base 2.\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4301, 34507, 116521, 276257, 539629, 932551?\n\"Answer: 4319*p**3 - 10*p**2 + 3*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2201*c**2 + 527*c + 527. Let s(z) = 25*z**2 + 6*z + 6. Determine -6*k(p) + 527*s(p).\nAnswer: -31*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.3 - 0.7. Let r be 12\/144 + 38\/(-168). What is the closest to 0 in r, 2, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1767, -3442, -5117, -6792, -8467, -10142?\nAnswer: -11817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i + 6. Let l be (i - -25) + 3 - 2. Suppose -2*m - l = -6*m. Solve 3*b + m = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - d + 2*d**2 + 11*d**3 - 28*d**3. Let m be j(-1). Suppose -b - m = -4*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 1160254.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**6\/120 + c**5\/2 - c**4\/8 + 73*c**3\/6 + 1304*c**2 - 2*c - 2. What is y(30)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1017847103?\nAnswer: 7, 13, 17, 73, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*r = 500125 + 285555. What are the prime factors of r?\nAnswer: 2, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-five ninths of a hour?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 5717\nAnswer: 1143.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2999378 - -2922170.56. Let x = 77207.465999965 + k. Let b = -0.026 + x. Round b to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11819188 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/22 - (-2265)\/(-550) and (6\/(-198))\/(4\/(-186)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 4. Suppose 0 = 4*y - 12, -4*h - 9 = y + 4. Let a be g(h). Suppose 12 = -5*l - 2*r, 2*l + r - 5*r = 0. Which is smaller: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000132035 to 6 dps.\nAnswer: 0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 3 (c) -6.96629\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001486840824 to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 10) to base 8.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 1983510?\nAnswer: 5950530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21528 and 159952.\nAnswer: 33110064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 4:12 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*p - 1287 = 2*p, 6*g = p + 1885. Solve 4*s - g + 281 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 12*y**2 - 28*y - 108. Is 49 a factor of h(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + (sqrt(36) - (sqrt(36) + sqrt(432)\/(sqrt(12) + sqrt(12)*1))))\/(sqrt(36)\/(sqrt(75) - sqrt(3)) + sqrt(12)) + -4.\nAnswer: -4 + 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2058 less than -24050?\nAnswer: -26108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - 25 - (1 + -2) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -2*p**5\/15 + 16*p**4 - 6128*p**3\/9 + 12160*p**2 - 288800*p\/3 + 453. Factor y(l).\nAnswer: -2*(l - 38)**2*(l - 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483410*k**2 + k - k - 483411*k**2 + 966751*k**2.\nAnswer: -70*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.798 - 0.202. Which is the nearest to 1\/4? (a) 0.5 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 0.15778549.\nAnswer: 2.84221451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 14) to base 12\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.894 + -0.006. Let f = -6 - o. What is the smallest value in 2, 0.07, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3 + 3*k)*(-5 + 18 + 12) + 2*k - 4*k + 10*k to y*k + l and give y.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11610, 11508, 11406?\nAnswer: 11304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12.9 (b) 0 (c) -5764 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 13 + 3. Let p = 789 - -756. Let u = p - 1509. Solve -4*h - u = -n*r, r = -3*r - 4*h - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009071 rounded to 5 decimal places?\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.89 to 1 decimal place.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -519589 divided by -2611?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35\/6 in -5, -1.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 717.82153 rounded to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - 5*r - 4*r)*(5 - 5 - 2)*(-2 + 2 - 3) to n*r + d and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206781.\nAnswer: 3, 68927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -5, 0.01, 3\/2, -1.\nAnswer: -5, -1, 0.01, 2\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 920100 + ((-3)\/18 - 4\/(-24)). What is j rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 528*g. Let y(o) = -114579*o. Determine 435*d(w) + 2*y(w).\nAnswer: 522*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 136 = 12*w. Suppose 30*r - w*r = 0. Solve r*f + 12 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 982 (c) 1 (d) -1\/7 (e) 2 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/12 - 1\/28. Which is the closest to 2\/3? (a) -4 (b) r (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*b**2*c - 94989*b**2*k**2 + b*c*k**2 - 40*b*k**2 + 8734*c wrt c.\nAnswer: 21*b**2 + b*k**2 + 8734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 618479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0435242374 rounded to 4 decimal places?\nAnswer: -0.0435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**3\/6 + 7*u**2\/2 + 2*u. Let x be a(-5). Suppose x*n + 324 = -2*k + 5*k, n + 437 = 4*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 7:47 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 44. Let w be s(-23). Is w\/6*(-3508)\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*n + 313*n - 5008 = -123*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 3. Suppose 0 = j - c*j. Suppose j = -0*m + m - 3. What is the third biggest value in 0.3, 2, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(931))*-3)**2.\nAnswer: 75411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/60*(-6)\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5 + 20 = 0, -5*h - 4*f = 65. Let u be h\/6 - 50\/(-28). Is u less than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4 = -4*n + 12, k - 8 = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 12*s - 18. Let x = 13 + -7. Let w = x + 12. Let u be v(w). Calculate the highest common factor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 43089546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105 - 30. Let p be (-18)\/l - 206\/(-30). Let r be (16\/3)\/((-4)\/(-6)). Is r > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 0*g = 24 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*l**3*m**2 - 2*l**3 + l**2*m**2 + 29*l*m**2 - m**2 wrt l.\nAnswer: 120*l*m**2 - 12*l + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/17)\/(v\/v**(1\/8))*(v**(2\/7))**(-10))**(12\/11) assuming v is positive.\nAnswer: v**(-10323\/2618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 3*g**2 - g + 2. Let y be r(-2). Suppose y = -o + d + 8, o = 2*d + 16 - 3. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + n - 9, 2*w + n = 5*n. Let v be (1\/(-3))\/(2\/(-24)). Suppose -v*q = q - 50. Solve -w*a - q = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -w, -5*g - 170 = -2*g - w. Let q = -24 - g. What is the remainder when q is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 86*n**2 + 3*n. Let b(l) = l**3 + 86*l**2 - 4*l. Give -4*a(s) - 3*b(s).\nAnswer: s**3 + 86*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 63. What is the tens digit of o(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - a + 187*a.\nAnswer: 186*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 803997688623?\nAnswer: -803997688623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3799 = 1611*m - 681 + 8159 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-39)\/(-26))\/(6\/20). Suppose -4*c - r = -10, 3*c + 8 = -v*r + 24. Let s = 52 - 47. Solve -o + s*d - 20 = c*o, -o = -2*d + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 5. Give w(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -40. Are b and 26 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 14*o**2 + 17*o + 3. Determine l(-12).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 5, 18, 49, 104, 189, 310, 473?\n\"Answer: s**3 - 6*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*q**3 + 6*q**3 + 8 - 5*q**3 with respect to q.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1579132839 and -0.55143.\nAnswer: -1579132839.55143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.57 - -4.57. Which is the nearest to i? (a) -0.3 (b) -2\/13 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*z + 21, -2*z - x + 2 = 3*x. Let c(m) = 2*m**2 - 9*m + 11. Let q be c(z). Is q\/(-136) - 4949\/(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 0*v**2 + 0*v**3 + 0*v**5 - 12*v - 1\/40*v**6 + 0 + 1\/48*v**4 - 1\/84*v**7. Factor s(o).\nAnswer: -o**2*(o + 1)**2*(2*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 2:10 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 181, 289, 387, 475, 553?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 1418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1.84 (b) -4 (c) 0.3 (d) -3 (e) -1\/7 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(5) + 3 + 2*sqrt(5) + -2)**2 + ((-1*sqrt(120))\/sqrt(2))\/(3*sqrt(48)).\nAnswer: 143*sqrt(5)\/6 + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -34364.27584 to the nearest ten.\nAnswer: -34360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 249 or -21061?\nAnswer: -21061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012138111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -2, 1\/48, -23\/2, 3\/7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - 2*b + 0*b)*(-17 - 10 - 16) - 86 + 11*b + 86 as q*b + s and give q.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -396 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350127.\nAnswer: 3, 38903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 3:19 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 11:15 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 21*o**2 - 3*o + 19. Is 10 a factor of n(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h = -70. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 10.9 (b) 6 (c) -4 (d) 1\/3 (e) 0.2 (f) 19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19750 and 1495.\nAnswer: 5905250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zlzzzdlwczwwzdzluz.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(3\/11)*t*t**(-31)*t*(t\/t**(2\/15))\/(t*(t*t**1)\/t*t*t*t) assuming t is positive.\nAnswer: t**(-5257\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyryyyyyyyryryyyyy.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 12 - 6 + 19*w.\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 94183 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 2214?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let d(y) = 17*y - 14*y - 10*y. What is d(j(i))?\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 less than -1\/201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 2:49 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 28 = -3*f, 4*f + 9*s - 4*s = 49. Let g(u) = 3*u + 9. Let x be g(f). Round x to zero dps.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2059, -4120, -6181, -8242, -10303?\n\"Answer: -2061*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = -9916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13144 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-5*m + 1 + 0*m + 3*m).\nAnswer: 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 21 = -9. Suppose 5 = -6*q + q, -u + g*q = -50. Let a = u + -41. Solve 2 + 12 = a*k + 3*w, -22 = -4*k + w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-11 + 16 - 1)*3 and 270.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -187 + 191. Suppose -4*i + 2*w + 18 = -v, 4*w + 29 = 3*i. Solve -3*p + 10 = -i*s + 1, -p = 3*s - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.023, 4, -3371.\nAnswer: -3371, -0.023, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000685638 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 222 divided by 6\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 21 + (11 - 4 - (-1 + -6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -33 + 3*g**2 - 25*g**2 + 33. Let r(p) = -8*p. Let o(q) = -33*q + q - 7*q. Let k(w) = 5*o(w) - 24*r(w). Calculate k(c(d)).\nAnswer: 66*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 264752, 529521, 794290?\n\"Answer: 264769*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1112241 is divided by 222285?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + z + 229 = -510, 5*k + 5*z = 905. What is the remainder when k is divided by 101?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 318 = -70*v + 73*v, 0 = -2*h - 3*v + 633. Calculate the least common multiple of 60 and h.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/(-8) + 1)\/((-573)\/3056). Solve 12 = -3*q + r, 3*q + w*r = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.757 + 0.143. Let w = a - 29. Let k = w - -1.1000011. Round k to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3754500 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4, 17.1 in descending order.\nAnswer: 17.1, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 - 32*q\/3 + 24.\nAnswer: -2*(q - 2)*(q + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**5\/3 - 5*r**4\/4 - 85*r**3\/9 + 65*r**2\/2 - 100*r\/3 + 7764. Solve y(q) = 0 for q.\nAnswer: -4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbdddb. Give prob of sequence bd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 12, z: 3, k: 3}. Give prob of sequence zkz.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, 105, 2\/21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1782))\/(sqrt(88)\/(sqrt(8)*-2))*2 - (-3 + 3*sqrt(18)\/(4*sqrt(18)\/sqrt(2))).\nAnswer: -147*sqrt(2)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*t - 3099 - 9553 - 6524 = 1098 for t.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 14*u + 33. Let o(v) = 2*v - 1. What is -k(d) + 5*o(d)?\nAnswer: -4*d - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3360 and 3360?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**5 - 15573*w**4 + 2*w**3 - w**2 + 1584723*w + 1 wrt w?\nAnswer: 120*w**2 - 373752*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 6\/691 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 166140281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7 - 31 + 8 + 17*d + 8 wrt d?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**4 - 2*p**4 + 5*p**4 + (-p**3 + 0*p + 0*p)*(1 + p - 1) + (-3*p**3 + 3*p**3 + 3*p**3)*(16 - 34 + p + p) + 0 + 0 + 2*p**4.\nAnswer: 6*p**4 - 54*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 - -4 - (5 - -4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2274 + -0.249. What is w rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000014433078 to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/623095 and -72\/9912875.\nAnswer: 109041625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 1:19 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z. Suppose -r + 5*l - 9 - 2 = z, -3*r - 3*l + 57 = 0. Let k(m) = -24*m**2 + 14*m. Let p(f) = -5*f**2 + 3*f. Determine r*p(d) - 3*k(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -38*576\/(-4864)*(-1 - 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.87 - -0.67. Let k = h + 6. What is the nearest to -2 in -3, k, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/12 + (-2)\/(-6). Suppose -p - k = -8, k + 4 = 4*p - 28. What is the highest common divisor of f and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**5 + 86*o**4 + 902*o**2?\nAnswer: -120*o**2 + 2064*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -15. Suppose u + 18 = l*u + 3*a, -8 = 4*a. Calculate the remainder when u is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65241664 and 492352.\nAnswer: 10048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -19 + 201754\/((-91)\/(-13))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37540?\nAnswer: 2, 5, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7743088?\nAnswer: 2, 23, 53, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 10 + 4 = 0. Let z = 1123 - 1119. Solve -z*f = -a - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299401 is divided by 5264?\nAnswer: 4617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2. Let q(k) = -1337*k**2 - k. Determine q(v(r)).\nAnswer: -5348*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 349 + -347. Suppose r = -0*r. Solve r + b = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*u**4 - 127630*u**3 + 1043880*u**2 - 2177440*u + 223360 = 0.\nAnswer: -698, 4\/37, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 8*u. Suppose 2*t = -u*t + 4*q + 128, -5*t = q - 375. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 2*p - p)*(-64*p - 32*p + 512*p + 236*p) to r + l*p**2 + g*p and give l.\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, 1356, -3, 0.04, -49 in decreasing order.\nAnswer: 1356, 1, 0.04, -3, -10, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 25 - u**3 - 13*u**2 + 71956*u - 12*u**2 - 71955*u = 0.\nAnswer: -25, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 372454 (base 8) to base 9\nAnswer: 214885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 2\/9, 2\/13, -16, 0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005442171 rounded to six decimal places?\nAnswer: -0.000544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3514 (base 6) in base 7?\nAnswer: -2305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - -634. List the prime factors of z.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1707922672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*f - 17. Solve 4 = y - 2*r, -y - 2 = f*y + r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/8, -3, 2, 7\/3, -48110?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60217.99 - 61410. Let m = p + 1197. Round m to 1 decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*b + 36, -b - 5*q + 9 = -2*q. Let f = b + -8. Suppose 0 = -5*s - f + 41. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8542 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3185 + -742106\/233. What is the third smallest value in b, 5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/281358*-66)\/((-2)\/3).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 - -318. Suppose 2*r - p = -2*r. Is r\/6*(-2)\/(-1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1844, -1185, -528, 127, 780, 1431, 2080?\n\"Answer: -v**2 + 662*v - 2505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 12*w - 8*w. Sort w, 0, 59 in ascending order.\nAnswer: 0, w, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*m, 2*m - 3 + 12 = g. Suppose 4*j - 187 = 3*y, -5*j + 152 = -5*y - 88. Suppose j + 62 = g*k. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - d - 1 + (1 + 2 - 1)*(2 - 2 - d) + 5 + 7*d - 5)*((-2*d + 0*d + 0*d)*(1 + 0 - 5) + d + 3*d - 3*d) to g + y*d + u*d**2 and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1634.\nAnswer: -5\/1634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 246750 and 846?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.9 - -7. Let p = 202 - 198. What is the second smallest value in p, m, -1\/12?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*((-4)\/(-10))\/(9\/(-18)). Suppose -3*h + 139 = 2*y - 107, -j*y - 228 = -3*h. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391582453.\nAnswer: 391582453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = 4*o - 16, -3*x + 11 = o. Let j(d) = 4 - d - x + 1. Let g = -1 - -1. Calculate j(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.066600511 and 2?\nAnswer: 1.933399489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*2\/(-50))\/(124\/(-620))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001 (base 2) in base 8?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 7 + 2 + 3*k.\nAnswer: 3*k + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12954, 25763, 38426, 50943, 63314?\n\"Answer: -73*j**2 + 13028*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6192 = 8*u - 10776. Calculate the highest common factor of u and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33106 - 33090. Suppose 0*h - 16 = -4*h. Suppose -2*z = b - 95 - 125, 428 = h*z + 5*b. Calculate the highest common divisor of u and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1. Let j(v) = 8*v**3 + 9 - v**3 + 4*v**3 + 4*v**2. Let s be (-2 + 20\/8)*36. Let b(t) = s*i(t) + 2*j(t). Find the third derivative of b(p) wrt p.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-18)\/3) + 0. Suppose -10 = -r - r, -l = k*r - 21. Let b be (-1 - 0)*(-4 + 4 + -1). Sort l, b, 0 in ascending order.\nAnswer: l, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*35*459\/(-14280)\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276549407 to the power of 1\/2, to the nearest integer?\nAnswer: 35729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4145 + 4140. Let u(a) = a**3 + 3*a**2 - 14*a - 25. Calculate u(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10492 + 10491. Let i = 6 + -11. Let t = 12 + i. Which is the nearest to n? (a) t (b) -4\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 208 + -201. Suppose 4*m - g*m + 31 = -t, 25 = 5*t. Solve c - 10 = -2*y, 0*y + 2*c = -2*y + m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 5*m + 10*m = -52 - 26, -4*m = 7*v - 51 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 67. Suppose 14 = 4*a - 2. Solve 0*l + 5*l = -a*t - z, l = -3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 0 (c) 8\/9 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2356741.7417955 + 2356741. Let y = -0.742 - u. Round y to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -292 by 13.\nAnswer: -292\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1\/4 (c) 9\/7 (d) 2\/5 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgg when three letters picked without replacement from pdgg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 969557591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21899 and 915?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/(-620))\/((9\/150)\/((-792)\/330)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(134\/66 - 2). What is the greatest common divisor of v and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 225468.3 hours?\nAnswer: 811685880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxu when three letters picked without replacement from {u: 10, x: 4}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**7\/1890 + 7*r**6\/216 - 151*r**5\/540 + 193*r**4\/216 - 13*r**3\/9 - 1905*r**2. Determine m so that n(m) = 0.\nAnswer: -39, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:51 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5177 is divided by 518.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/23, 28, 0.5, 2\/143, -2, -3\/5?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68)*6 - sqrt(68))\/(sqrt(4) + sqrt(100)*-1).\nAnswer: 7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2437 - 461 = 0. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 9.09073. What is l rounded to three decimal places?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1146\/540 - 54\/540?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(66)*-1 + sqrt(66))*-3 + sqrt(66))\/(sqrt(726) + -1*sqrt(726) + sqrt(6)) + -2 + (sqrt(539) + 2 + sqrt(539))*-4 + 4.\nAnswer: -55*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3459368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -102124329 divided by 3?\nAnswer: -34041443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 7*g - 2*g - 20 = 0, -y = g - 7. Let c(u) = 69 + 3*u - 141 + 71. What is the units digit of c(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.6, 1836, -1\/3, 0.2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1052856 is divided by 522.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 32*p**2. Let h(o) = 2*o**2 + 2*o - 2. Let v(a) = -4*a**2 - 3*a + 3. Let q(k) = 6*h(k) + 4*v(k). What is n(q(j))?\nAnswer: 512*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*f**3*t + 143*f**3 wrt t.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q + 1. Let w be u(-1). Let y(v) = v**2 + 2*v + 1. Calculate the remainder when 31 is divided by y(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 b when three letters picked without replacement from {e: 12, b: 4, h: 4}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2468016 and 109\/425520.\nAnswer: 12340080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 952\/5425 + (-20)\/4650*-15?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = -c, u - 10 = -0*u - 5*c. Solve 2*z + u*z = -8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (32\/(-14) - -2)\/(-18 - 1397\/(-77)). Sort u, -3\/8, 18\/113, -6 in increasing order.\nAnswer: -6, u, -3\/8, 18\/113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 9*z + 19 = -6*z, -z - 3 = -o. Let y be o + 6 + (14 - -6). Is 1\/3 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 29*f - 36 = 32*f, -5*t + 3*f + 48 = 0. Suppose 5*g - 7 - 8 = 0. Solve g*k - t = -0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21295020 by 5140.\nAnswer: -4143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20034 and 7417774.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 30*s**2 + 59*s + 13. Let k be z(-28). Let j = 358 - k. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -74618 take away -3?\nAnswer: -74615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0 + 3*a**2 + 1\/3*a**3 - 3*a. What is y(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1816 - -1816.4. Let z = 3 + -3. Is z greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1334 and 1330 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1841 and 77.\nAnswer: 20251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from heppheeeeeeeheeeeeee.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*i**2*o - 6*i**2*u + 2*i**2 + 18747*i*o*u + i*u - 65*i - o*u - 473*o - 3*u - 142 wrt o?\nAnswer: -10*i**2 + 18747*i*u - u - 473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**3\/3 - 7*k**2\/2 - 47*k. Let g be (1 + -1 + -1)*-6. Is n(g) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 4:33 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000515 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-252)*-8*-8*12\/96?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.44 - -0.04. Let q be 1\/(-5) - 35\/(-50). Which is the biggest value? (a) q (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/221, -3\/4, 6\/2299.\nAnswer: -3\/4, -5\/221, 6\/2299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -63, 5, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*s + 344 - 344)*(-51*s**4 - 37*s**3 + 37*s**3).\nAnswer: 765*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 8.\nAnswer: -2*(a - 2)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 - 36. Calculate the remainder when s is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 1. Calculate the remainder when 113 is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 8*s + 3. Calculate the remainder when 17 is divided by j(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -978600 rounded to the nearest ten thousand?\nAnswer: -980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3\/9 - 160*s**2\/9 + 34*s + 52 = 0. Calculate s.\nAnswer: -1, 3, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o + 0*o + 2*o + (-1 + 2 + 0)*(3 - 2*o - 3) - 3 + 3 - 4*o)*(0 + 1 - 2)*(-6*o - 3*o - 7*o) as v*o + i*o**2 + s and give i.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 60084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -1\/6*b**4 + 0 + 0*b**3 - b**2 + b. What is the derivative of r(s) wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/2 - 17*l**2\/2 + 37*l\/2 - 19\/2.\nAnswer: -(l - 1)**2*(l + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 77*y + 59. Let u be o(3). Let d(i) = -i**2 + 6*i - 3. Let r be d(5). Let p(c) = -290 + u + r*c. Let l(z) = 3*z**2. Calculate p(l(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-8)*q\/(q\/q**(-5)))\/(q**(-2\/5)\/(q**1*q)))**(1\/73))**(-7\/11) assuming q is positive.\nAnswer: q**(371\/4015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1716699, -1716517, -1716333, -1716147, -1715959?\nAnswer: -1715769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r + 53851*r**2 - 3*r - 47976*r**2 to f*r + y*r**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and (3 - (1 - -5))*(-28)\/28?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16048303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*d + 3. Let i(b) = b**2. Let j be i(d). Calculate the lowest common multiple of j + 8 + -2 + 4 and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -387*p - 1904. What is the smallest common multiple of i(-6) and 760?\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgdcdddccd. What is prob of sequence ccg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*k - 42 = 0, -a + 18 = -0*a + 3*k. Suppose -n = -3*n + 5*j + a, 0 = -4*n - j + 19. Solve -n*h + 4 = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1893 and 877.427.\nAnswer: 2770.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:30 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10 - 2)*1\/(-3). Let x(h) = h**3 - 3*h**2 - 2*h - 2. Let k be x(r). Let t = 18 - 6. Calculate the highest common factor of k and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 3*y - 9. Let l be (-12)\/(-3)*y\/(-4). Suppose l*q + 1 = -3*s - 5, -s + 4 = -2*q. Is s less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.5 (b) -5\/2 (c) -0.68 (d) -7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-105)*(-294)\/84?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1850846 + 2288594 = 80*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9528 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -88*w**4 - 2276*w**3 - 16584*w**2 - 23040*w + 3456 = 0.\nAnswer: -12, -2, 3\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2657233 is divided by 858?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/28)\/((-3)\/(-3))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 33.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.95 + -330598630\nAnswer: -330598630.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634672.\nAnswer: 2, 39667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1 (b) 1 (c) 2\/21 (d) -481\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/((-900)\/24))\/(0 - -1). Let h be 9 + -1 - (1 - 7 - -5). Suppose 4*a = s + 14 - 5, -5*a = s - h. Put 0, 4, j, s in descending order.\nAnswer: 4, j, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8610 or 8544?\nAnswer: 8544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101419, 4, -19, 3, 0, 5 in descending order.\nAnswer: 5, 4, 3, 0, -19, -101419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -32286.4 to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + 3 + sqrt(5) + 1.\nAnswer: 4 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 19*z + 120 = 0. Suppose 0 = -2*b + 5 + 3. Suppose 2*w = b*p + 50, 3*w + 0*w + 2*p = 83. Calculate the remainder when w is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12774 divided by 12774?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/37575 and 79\/120240.\nAnswer: 601200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -84, -2, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50575665 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sysssssssys. Give prob of sequence sy.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8971471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**5 - 1190*k**4 - 177590*k**3 - 166890*k**2 + 1425600*k + 2117016 = 0.\nAnswer: -297, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211 divided by 8?\nAnswer: -2211\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 197691009 + -529811887043\/2680. Let k = h + 1\/335. Find the common denominator of k and 40\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4424368\/8 - ((-210)\/28)\/((-12)\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - 15368\/(-340))\/((-1)\/(-5))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -103 (b) 2 (c) -1\/8 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(5)*3*5).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 11\/34, -2041, -1, 3?\nAnswer: -2041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7987*x - 7987*x + 2*x**2. Let a(o) = -o**3 - 4*o**2 - 3*o. Let h be a(-3). Let g(m) = -7*m + h*m + 2*m. What is g(c(i))?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.0386 and -0.1.\nAnswer: -2.1386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-9\/4)\/(h\/h**6)*(h**(1\/7)*h)\/((h**(-2\/31)\/h)\/h*h) assuming h is positive.\nAnswer: h**(4303\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 8708*r**2 - 8706*r**2 - 9.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112 + 169. Let g = x + -52. Suppose -g*r + 91 = -159. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -69*q - 27. Let m(d) be the third derivative of 0 - 12*d**q + 5\/6*d**4 - 4\/3*d**3 + 7\/15*d**5 + 0*d. Factor m(w).\nAnswer: 4*(w + 1)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63950 (base 10) to base 15.\nAnswer: 13e35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -3. Suppose -h*q + 4 = -q. Let z(j) = 4*j**2 - 2*j**2 - 2*j - 4*j**2 - q - j. Give z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 47. Suppose -c = o - 7. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*(v**(-22)*v*v)\/v*v*v*v**(-2\/43)*v)\/(v**(-14))**39)**9 assuming v is positive.\nAnswer: v**(205092\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 42315 = 9*o. Suppose 2*t - o = -583. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*3 + (-24)\/(-6). Is 7 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) -2\/19 (c) 0.4 (d) 68.431\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -2. Let x be -1*(-2)\/g + 0. Which is the closest to -2\/7? (a) 3 (b) x (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3)*-2 + 0 + -5 + (2 + -2 + sqrt(11) - sqrt(11)).\nAnswer: -2*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 - 6*j**2 + 4*j + 5. Let r be b(3). Suppose -r*m = -19*m + 354. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -5 - -4) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103970231?\nAnswer: 3251, 31981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 683313\/10 - 68405. Let f = x - -74. Find the common denominator of 19\/6 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 13) to base 11.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9*-6 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.051 to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 60\/7, 1\/6, 2\/11, 1.6?\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77*b**4 + 25*b + 8*b**4 - 2*b**2 + 3*b**2 wrt b.\nAnswer: -1656*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 6. Let q be x(-9). Let z be ((-21)\/9 + q)*6. Solve 1 = -2*p - z*s + 5, 0 = 4*s - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*s - 9 = 0, 8*k + 3*s = 3*k - 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**4)\/(g**(8\/3)*g*g))\/((g*g**(1\/8))\/g**(-4)) assuming g is positive.\nAnswer: g**(-115\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1320, -31, -0.1 in descending order.\nAnswer: 1320, -0.1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*w**2 + 86*w**2 - 50*w**2 + 210*w**2.\nAnswer: 381*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 5, b: 5, d: 4}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g + 301 = 5*a, -a + 2*g + 59 = 0. Let x = a + -61. Suppose x = -2*h + 204 + 60. Calculate the greatest common divisor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74885 and 138317.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4350, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(50) + sqrt(100)\/sqrt(2) + sqrt(50))\/sqrt(2) - sqrt(125)\/(sqrt(15)\/sqrt(3))))\/(2*-2*sqrt(5) + 5*sqrt(5)*-3).\nAnswer: 12*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**5\/20 - u**4\/2 + 3*u. Let x(v) = -v**3 + v**2. Let z(w) = -d(w) - 3*x(w). Find the third derivative of z(l) wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*d = 79*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(750) - sqrt(750)) + sqrt(750) - sqrt(30))*-6)\/(-5*sqrt(726)*3).\nAnswer: -42*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15170*k**2*l**2 - 35*k**2*l + 9*k*l**2 - 3*l**2 - 35227*l wrt l.\nAnswer: -30340*k**2 + 18*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25472, -50993, -76524, -102071, -127640?\n\"Answer: -w**3 + w**2 - 25517*w + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 177 (b) -2\/3 (c) -12 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 403 divide 1286376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -4, 0.3, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -1\/2*t + 1\/4*t**4 - 3\/4*t**2 + 0 + 0*t**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**6\/5 - 3*z**2\/2 - 5*z. Differentiate u(b) with respect to b.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*b + 110, -4*b = 5*h - 9*b + 175. Let p = -35 - h. Suppose -p*i - 280 = -1225. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 20206 = -1472. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/5 + (2 - (-24)\/(-15)). Let x be 26*z\/9*3. Suppose x - 12 = t. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - 7\/((-7)\/8). Suppose -v - c + 4 = 0. What is the tens digit of 1 + v + -2 - -30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2. Let r(u) be the third derivative of -1\/12*u**4 + 3*u**2 + 0 + 0*u**3 + 0*u. Calculate r(n(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/3)\/y)**11 assuming y is positive.\nAnswer: y**(-77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 20455*u - 4. Let x be l(11). Suppose 4*f - 58850 = -r - 238849, r = 5*f + x. Round f to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -i + f + 12 - 7, -2*i - 5 = -5*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727961213?\nAnswer: 7, 103994459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 728956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7060019 and 489.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 9*r - 8. Let g be n(10). Suppose 0 = -4*m + 5*u + 119 - 31, 2*m - g*u = 44. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2 - 6 - 11*i as u + v*i and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -23, -33, -43?\n\"Answer: -10*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/(-4) - 2\/8. Suppose 5*i + 4*s - 65 = 26, 0 = -2*i - 4*s + 46. Let v(g) = -g**2 + 15*g + 4. Let t be v(i). Sort 5, b, t.\nAnswer: b, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3207631*g**4 + 225335*g**2 + 4 wrt g?\nAnswer: 76983144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + p**2 - 2*p + 364. What is the hundreds digit of j(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -15*f. Let r(m) = 10*m**2. What is l(r(d))?\nAnswer: -150*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186113871.\nAnswer: 3, 383, 53993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -65727 and 11?\nAnswer: 65738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*(1 - 3\/2). Let w be (-3 + 17\/5)*p. Let u = -0.9 - 0.1. What is the closest to w in 2, u, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 34 = -7*r + 2*y, 35 = r - 3*y. Suppose 5*x + l + 0*l - 56 = 0, -3*x + l = -r. Calculate the remainder when 37 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 18*x - 67. Give z(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/11)*a)\/((a\/a**14)\/a)*a**(11\/3)\/(a\/a**3))**17 assuming a is positive.\nAnswer: a**(11798\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, -4\/7, -2\/3, -5, -3\/1862 in descending order.\nAnswer: 10, 1, -3\/1862, -4\/7, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 7:16 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116594, 233207, 349848, 466517, 583214, 699939, 816692?\nAnswer: 933473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -156905.7 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + t**2 + t + 2. Let q be c(0). Let n(u) = 2 - u**2 + q - 5 + 0. Let w(v) = -v**2 + 5*v - 1. Let f be w(5). Give n(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/163441214 or 0?\nAnswer: 1\/163441214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + f. Solve -i - 3*l + 10 = 0, -i - 18 = -4*l - f*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxtxttt. What is prob of picking 2 t and 1 x?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 332, 330, 328, 326, 324, 322?\n\"Answer: -2*f + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, t: 1, x: 9}. Give prob of sequence fftx.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 1083994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5 + 70*i**4 - 526*i**3 - 70*i**2 + 528*i = 0.\nAnswer: -1, 0, 1, 11, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4990 + 10638. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Suppose -2*p = 2*k - 14, -5*k + 4 = -4*k + 4*p. Let f = k + 7. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 729182*l. Let y(o) = -o - 121. Calculate k(y(r)).\nAnswer: r**2 - 728940*r - 88216381","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*w + 43 - 17, -5*w - 3*c + 67 = 0. Let h = 26883 - 26872. Calculate the least common multiple of w and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.063 - 0.137. Let q = 10.845 + p. What is q rounded to 2 decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - c**2 - 71*c + 11. Let f be u(-8). Solve h = -3*a + 10, -7*a - 12 = -f*a - 5*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*m - 86*m - 40*m + 16 - 14 - 6*m - 3*m + (2*m - 3 + 3)*(1 - 1 + 1) as r + i*m and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 5*x - 25, 0 = -y - 270 + 270 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 56*m + 14 = -55*m, -5*a + 3*m - 22 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*p**3 + 737486*p**2*q**3 - 430607*p*q**3 + 14*p*q wrt p.\nAnswer: 108*p + 1474972*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 477596131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 11:02 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - -6186839?\nAnswer: 6186850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and 34?\nAnswer: 47.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 3*g + 7. Let n be z(2). Let s be (-664)\/(-6) - n\/((-189)\/18). What is the highest common divisor of s and 132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15307, 30631, 45955, 61279, 76603, 91927?\n\"Answer: 15324*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68044962*i**2*p**3 + 2*i*p**3 + 20047824*i*p**2 wrt i.\nAnswer: -136089924*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 426642\/11? (a) 4 (b) 1\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -9 + 3. Let f be (-3 - -5) + 4 + v. Solve -3*l + 4*g = -11, 0*l + 25 = f*l + 5*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -6*z**3 + 0*z + 1\/12*z**4 + 0 - 17*z**2. Let r be d(23). Calculate the highest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - sqrt(171)\/(sqrt(12)\/sqrt(4)))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + d + 13 = -8*n, -10 = 5*n - 5*d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 17*c - 23. Let z(o) = -18*o + 22. Let x(p) = 3*b(p) + 4*z(p). Let a(t) = 4*t - 4. Let f(l) = 11*a(l) + 2*x(l). Calculate f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 8*u**2 + 8*u + 8. Let y be i(-6). Suppose 2*p + 2*p = q + y, -p + 21 = 3*q. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**3 - 19*l - 28. Let o(h) = -7*h**3 + 41*h + 57. Determine -6*o(q) - 13*y(q).\nAnswer: 3*q**3 + q + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-12)*(-15)\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1441*l - 14317. What is i(-9)?\nAnswer: -1348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21384520 to the nearest integer?\nAnswer: 4624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 + -204)\/(-1 - 0). Let c = d + -1068\/5. Which is bigger: -153 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 1130*a - 63845.\nAnswer: -5*(a + 113)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70\/9, 50\/19629, 1\/2 in ascending order.\nAnswer: 50\/19629, 1\/2, 70\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3101, 3099, 3097?\nAnswer: 3095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 111, -4 in decreasing order.\nAnswer: 111, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 - 6. Let c(a) = -1. Let n(g) = b(g) - 5*c(g). Let x be n(1). Solve 2*o = -3*q + 4, 15 = -q + 2*o + x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7740 and 1044?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*h + 240. Suppose f = 6*f - 5*s + h, 0 = s. What is the units digit of 11 + f + (26 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/8 + 3 - 273\/(-52). Determine p, given that u*p + 6 + 2\/3*p**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15792 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5430300 rounded to the nearest one hundred thousand?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5634144.9ns in hours?\nAnswer: 0.00000156504025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b - 2*g - 87 = 0, -81 = 5*b - 4*g. Let x = 6 - 12. Let q(z) = 23*z**2 + 17*z. Let u(h) = -8*h**2 - 6*h. Determine b*u(o) + x*q(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 78, 126, 178?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -6*h. Let c be -2 + h + 6 + 0. Suppose c = 3*r - 2. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Suppose 0 = 4*z - q*z - 5. Let 2*s**4 + 0*s**5 - 4*s**3 - s**z + 5*s**3 - s**4 - s**2 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -5*j - 40, 97*z + 11*j - 56 = -99*z + 197*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 252 (b) -6 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6497406*m**4 + 4*m**2 - 1072393?\nAnswer: -155937744*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 12:35 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*o - 24*o - 4*s - 10425756, 10425740 = 4*o - 2*s. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1*(-2)\/(-6) - (-813)\/630 and -64\/77.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**2 + 312*j + 295*j + 370*j - 873*j = 0.\nAnswer: 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -106*v**2 - 272*v**2 + 7*v**2 + (2*v - 4*v + v)*(-2*v - 8*v - 2*v).\nAnswer: -359*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/(10 + -6 - 25256\/1078).\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37274254, -37274247, -37274238, -37274227?\n\"Answer: a**2 + 4*a - 37274259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3516557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/3 + 16*s**2\/3 + 32*s\/3 = 0. What is s?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 229 - 231. Suppose -4*b + b + 6 = 0. Sort 0, q, b in descending order.\nAnswer: b, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 4*z - 5*g, -5*g + 37 - 192 = -3*z. What is the third derivative of 53*u**2 - 2*u + z*u**2 + 7*u - 107*u**2 + 45*u**3 wrt u?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87\/2 + (-117)\/(-78).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7640000 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-28)\/8) + 37\/(-2). Is 28 a factor of (-1004)\/d + ((-96)\/54)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27650819 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20563862 is divided by 189?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((12 - 3)\/(-3) - -1). Suppose 0 = -3*l - 2*l - 3*a - 4, 0 = 4*l - 3*a + 14. Which is smaller: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/15)\/(2*(-1)\/647749). Let g = c - 13603757\/63. Let f = -146\/9 - g. Sort -0.3, f, 2.\nAnswer: -0.3, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 7*r**4\/12 + 7*r**3\/2 - 17*r**2\/2 - 473*r. Suppose -u + 3*n = 4, -3*n - 25 = 3*u + n. What is the units digit of d(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.2 - -0.8. Let a = 3.93 - b. Round a to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -262, -259, -256, -253, -250?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/7, -2, -2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 32*n - 80.\nAnswer: 4*(n - 10)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1 - 5 - 1 + 6. Let v(a) = -3. Let f(o) = -2*v(o) + 7*w(o). Let s(z) = -z + 6. Suppose -7*p - 1 = -6*p. What is p*s(h) - 6*f(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*h - 3*o, -2*o + 2 = -4*h + 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -10323\/4 < -2580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4141753, -8283511, -12425267, -16567021, -20708773, -24850523?\nAnswer: -28992271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 8*v**5 + 156*v**4 - 300*v**3 - 980*v**2 + 612*v + 504 = 0.\nAnswer: -21, -2, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, -21, 11 in increasing order.\nAnswer: -21, -14, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let a(s) = 1764*s. Calculate a(p(i)).\nAnswer: -1764*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4214.24864 rounded to the nearest ten?\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 43908196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/93 - -101\/372. Which is the closest to l? (a) -22 (b) -2 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/525 in -12, 0, -4.6, -4, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/45 and 56\/99.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -155, -154, -153, -152?\n\"Answer: d - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3, 5974, 3076\/5.\nAnswer: 0.4, 3, 3076\/5, 5974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -80. Suppose -4*f - 5 = -w. Let x be (-26)\/(-10) + -2 + (-12)\/f. Solve 3*j = -x*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1080*i + 1479*i + 38385 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/75)\/((-8)\/20)*(-435 + 744)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2737 - -1796. Let b = q - -940.7922. Let r = -0.21 - b. What is r rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10144602 + 2?\nAnswer: -10144600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ardakin. Give prob of picking 1 k, 1 a, and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 163517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6195, 6168, 6103, 5982, 5787, 5500, 5103?\nAnswer: 4578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 3*d - 4 = 0, 0 = -2*f + 3*d + 361175. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 4 + 4)*(-8*y - 5*y + 5*y + 2)*(14 - 14 - 13*y).\nAnswer: -208*y**4 + 52*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 3:11 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**6\/10 + 41*c**2\/2 - 35*c. What is the first derivative of s(o) wrt o?\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(27\/30)*(-93)\/(-62)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let l = -5 + b. Let c be -2 + (-1 - (l + 1)). Is -1 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 12*s + 39. Let l be f(-7). Solve 10 = -l*a - z - 0, 2 = 2*a + 4*z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -12. Is ((-2)\/5)\/(y\/(-3300)) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 2 (b) 88 (c) 6.8 (d) 1\/7 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**2 + z**2 + z**2)*(217 - 682 + 202) - 1 + z**2 + 1 - 2*z**2 + 5*z - 5*z in the form x*z**2 + v*z + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.52727865384 + -4\nAnswer: -2.47272134616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -152 - 13. Suppose 0 = 5*k - 2*k - f. Suppose -6*i + k*i = -6*i. Solve 2*x - 8 = -i*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(-4 + 4 + (sqrt(1053) - (1*sqrt(1053) + 4) - (sqrt(1053) - (sqrt(1053)*-2 + sqrt(1053))*2)) + -4))**2.\nAnswer: -477050 - 21600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-186)*8\/((-160)\/(-36)). What is the second biggest value in 0.3, 4, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416*m**2 - 417*m**2 + 1248*m**2 + 15 - 15 - 407*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/23)\/w*w**(2\/53)\/w*w**11*w\/w**(3\/8) assuming w is positive.\nAnswer: w**(95079\/9752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-6)\/9*(-9)\/(-6). Suppose o = 3*q + k*o - 2451, 3*q + 4*o - 2451 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**5*v**(-3\/7))\/(v*v\/v**(1\/4))**(-2\/23) assuming v is positive.\nAnswer: v**(1843\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707950.\nAnswer: 2, 5, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -30, 629, 3 in decreasing order.\nAnswer: 629, 3, -14, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*f**3 + 55*f**3 - 9*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (171 - 172) + (-17 - -9)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + -4*sqrt(21)\/sqrt(3)*-3))**2.\nAnswer: 432*sqrt(7) + 9108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125 (base 7) to base 13.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 2\/69 (b) -0.1 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -6*o + 3, 28 = 5*h + 3*o - 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 + 102. Which is smaller: d or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109 - -157. Calculate the smallest common multiple of 12 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, n: 1, x: 1, v: 5}. Give prob of sequence xhhn.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 5*n + 2. Let w be g(5). What is the third derivative of -3*l**6 + 2*l**2 - 2*l**6 - 8*l**w wrt l?\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*r - 98 + 98)*(-1 + 0 + 3) + 2*r - 2*r - r + 0*r - 3 + 1 + r.\nAnswer: 40*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14698.43 rounded to the nearest ten?\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buttubbb. Give prob of picking 1 t and 2 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 8825 = -14*d. Suppose -106 = -7*i - d. Let l = i - -430. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/536765 and 43\/63.\nAnswer: 33816195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 5. Let c be d(0). Let i(o) = -3*o + 4. Let r(j) = -2*j + 3. Suppose -1190*k + 1173*k - 68 = 0. Determine c*r(s) + k*i(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61482119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 4 - (259\/112 - -8) and 77\/194.\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from {y: 9, q: 9}?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 4*k**2 - k - 8. Let c be a(-4). Let y be c\/(-8)*(-2 + 16\/10). What is the nearest to 1\/3 in -3, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 2301.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*y - 6. Let h(a) = -a + 5*a + 9*a**y - 2*a - a. Give h(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + j**2 + 36*j - 36*j. Let u(x) = 41*x**2. What is u(w(q))?\nAnswer: 164*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 14*n + 3. Let x be c(-7). Let u(y) be the first derivative of -2*y + 0*y**2 + 1 + 1\/2*y**4 + 0*y**x. Differentiate u(w) wrt w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1606\/132 - 2\/12. Suppose 12*y = 16*y - k. Suppose 3 = 3*w, a - 2*w = 5*a - 22. Solve -a*v = -x - 10*v - 5, -5*x + 3*v = -y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 5*t**2 - 3*t + 4. Let i be p(-4). Suppose i*j = -2*j. Let j + 0*a**3 - 2\/7*a**4 + 2\/7*a**2 + 0*a = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(2 - (3 - 2)). Suppose -4 = v - l. Let c be 8\/v + (-12)\/(-5). Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 111.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -47. Let z = v - -13.0002. Round z to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 = t, 5*w - 2 = -t + 5. Which is the closest to -0.2? (a) 5 (b) w (c) 5\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-2 - -2) + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1937*c - 9096 = 8337 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -385\/4 - -97. Let t = 2 - 1.5. Which is the third smallest value? (a) v (b) -3\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t - 1. Let k(w) = w**2 - 23*w - 22. Let m(d) = -k(d) - 4*u(d). Calculate m(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -628811?\nAnswer: -628815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8025.482 millilitres?\nAnswer: 8.025482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/((-1)\/9). Suppose s - 4 = -r*d - 4*s, -s = 2*d + 2. Do d and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.309 (b) 1 (c) -3\/8 (d) 0.3 (e) -175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 2512.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10411, 20904, 31393, 41878, 52359, 62836?\nAnswer: 73309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p - 4*p + 128. Let i(f) = 36*f + 51. What is the tens digit of i(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 3001440928?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -49*j**4\/12 - 3*j**3 - j**2 + j - 3. Find the second derivative of d(l) wrt l.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21410878.1 to the nearest 1000.\nAnswer: -21411000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212 + -207. Suppose -5*h = s*o - 1270, 19*h = 4*o + 16*h - 1002. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3036542 (base 10) in base 6?\nAnswer: -145030022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197498262 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 10 = -3*m, 3*m + 9 = 3*l + 3. Let j(p) be the first derivative of 0*p - 17\/4*p**l + 0*p**3 + 5*p**2 - 16. Find the second derivative of j(t) wrt t.\nAnswer: -102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7417 is divided by 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*6\/(-15)*(-5)\/8. List the prime factors of ((-1547)\/(-68))\/(y\/4).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -41*z - 124. Let q(y) = -10*y - 33. Calculate 18*q(b) - 4*v(b).\nAnswer: -16*b - 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 295*a**2 - 3. Let g(y) = 9*y. What is m(g(n))?\nAnswer: 23895*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33086656.5 rounded to the nearest ten thousand?\nAnswer: 33090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -14*b**4 - 242*b**3 + 1143*b**2 - 977*b - 323. Let p(m) = -2*m**4 - m**3 - m**2 - m + 1. Let z(w) = h(w) + 3*p(w). Solve z(v) = 0.\nAnswer: -16, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16309, -16332, -16345, -16342, -16317?\nAnswer: -16264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2 - 3183*k + 2531878 = 0.\nAnswer: -3842, 659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -462 smaller than -478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1577285 is divided by 806.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/28)\/(-14*(-3)\/(-294))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.977 + 0.023. Let j be (-12)\/(-7)*(-4)\/(-12). What is the nearest to -0.1 in -1, j, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*k + 279*k - 345 = 0. Calculate the remainder when k is divided by 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.122 - -0.278. Put -1\/8, y, 3 in decreasing order.\nAnswer: 3, y, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 8*j**2 + 16*j - 7. Suppose 0 = -15*t - 9 + 159. List the prime factors of c(t).\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*t - 5, 4*s = -5*t + 31. Suppose -5*z + 7*w = 2*w - 15, 0 = -3*z - 5*w - 31. Sort z, s, 3 in decreasing order.\nAnswer: s, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 6:29 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-10) - (0 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -517. Calculate the remainder when 3\/(12\/g) + 6 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 13 = -9*f + 3 - 8, 0*n - 5*n = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 6:29 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 10 (b) 0.5 (c) -0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from xmmzxdmdzzmxxmsmx.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1450 - -1451.5. Which is smaller: 23 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260860673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 19 - (-9 - -90 - 107)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -3*k**2\/2 + 9*k - 1473. Let i(x) = -2*x + 8. What is -3*d(h) + 4*i(h)?\nAnswer: h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/15*(-225)\/(-135).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**5\/60 - 11*b**4\/12 + 25*b**3\/6 + 27*b**2. Let k be c(21). Is 11 a factor of (-2673)\/(-36) + (-1)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from oofffofuuffufuof?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/45*15\/2. Let h be 4\/o*(-75)\/10. Suppose 5*n = -l + 15 + 14, 4*l = 3*n + 1. Solve 0 = -l*p - b + 17, p - h*b = -b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/sqrt(7)*3 + sqrt(17) - sqrt(17))**2 + 4 - (sqrt(1700) + (2*sqrt(1700) + -1)**2 + sqrt(1700)).\nAnswer: -6644 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**3 + 2*o - 157. Let q(n) = -8*n**2 + 7. Determine -7*l(s) + 2*q(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -306 by -12056.\nAnswer: 153\/6028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 3 + 13. Solve w*m - 3 = -11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n**2 - 3*n**2 - 42*n**2 + 12*n**2.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 times -2494?\nAnswer: -226954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from uuvvvui?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**4 - 7*n**3 - 6745*n**2 + n - 19907 wrt n.\nAnswer: -12*n**2 - 42*n - 13490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 143*n - 2262. What is u(15)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 88, 107, 140, 193, 272, 383, 532?\n\"Answer: q**3 + q**2 + 9*q + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, n: 6, t: 4}. Give prob of sequence qq.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 192?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**9*a*a**(11\/5) assuming a is positive.\nAnswer: a**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(98)*-1*-3 + sqrt(98) + (sqrt(98)*-2 + sqrt(98))*1 + -3)**2 + 3.\nAnswer: 252*sqrt(2) + 3540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llhppjphjkpl. Give prob of picking 1 j and 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18971 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: Let k = -0.6 + -0.1. Let d = k - 2.3. Let y = 1.18 + -3.18. Which is the third biggest value? (a) y (b) 0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 times 31712?\nAnswer: 5708.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60.9 - -9.9. What is the third biggest value in 2, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 45 = 5*a - 0*o, 4*o + 25 = -3*a. Let u = 43 + a. Suppose c + 5*f - f = u, 112 = 3*c + 4*f. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3009.\nAnswer: 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 equal to 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -155340 - -157514735\/1014. What is the common denominator of m and 23\/208?\nAnswer: 8112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 588*q + 211. Is b(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 856995 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = -3*i - 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8938*d - 1985*d = -1711 - 120195 - 10201 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 945*p - 1037*p + 504*p + 8240 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*z + 33 = 366*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -140 + -2312a2?\nAnswer: -231422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1058320*m + 339346*m + 130369*m - 243832*m.\nAnswer: 1284203*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + (-69)\/(-21))\/((-1)\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 = -2*w - y, 5*y = 3*w - 5. Let x be ((-1)\/5)\/(-3 + 4). Which is the closest to -3? (a) w (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 - (2 + 4 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/20 - 1\/(-4)) + 1. Suppose -d + 2*d + 12 = 4*h, 0 = -2*h + w*d. Suppose 4*a - 2*s - 52 = 0, -s - h*s + 65 = 3*a. Solve -5*u = -2*u + a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*l - l - 4*l + 1566 = 0. Let j = -12 + 21. Calculate the greatest common factor of l and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 0. Suppose 11 = 3*q + f. Suppose 0 = 3*u + 5*y - 16, -3*u = q*y - 6*y. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84398 is divided by 74?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5 + 2. Let q = 0.4 + w. Let m = q - -5.1. Sort m, 1, 3\/5 in decreasing order.\nAnswer: m, 1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475130524 to the power of 1\/2, to the nearest integer?\nAnswer: 21797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3264\/7 + -466. What is the closest to r in -7, 8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-2 + 0)) + 4. Suppose m = 5*p - 22, 0 = m + 9*p - 4*p - 28. Suppose f = -m*f + 8. What is the highest common divisor of f and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 1\/8 (b) -2\/39 (c) -0.06 (d) -21\/5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-666)\/(-16))\/(408\/1088). Solve -2*v - w = 4*o - 139, -20 = -4*o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/4))**(1\/17))**(-3\/7) assuming c is positive.\nAnswer: c**(-9\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 494314370 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -70.49 and -48.\nAnswer: -118.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 6 - 4*12\/16. What is the third derivative of -40*h**2 + 69*h**6 + 6*h**6 - h**6 + 41*h**2 + q wrt h?\nAnswer: 8880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 14.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/75 + (1 - 8 - (1272\/10)\/2)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 157*p - 152*p - 6*h, -p - 3*h = 6 - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 4*y**2 - 3*y + 3. Let f(d) = 3*d**2 - 2*d + 2. Suppose -62 - 34 = -24*l. Suppose -16*a + 24*a = -24. Determine a*n(w) + l*f(w).\nAnswer: -3*w**3 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15042 divided by -327?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120a (base 12) to base 13.\nAnswer: a48c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -10*a - 25. Let g be w(-4). Suppose 4*s + 0*s + 12 = 0. Let n = g + s. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**4 - 15*s**3 - 45*s**2 + 115*s - 60 = 0. Calculate s.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8402741 - 8402744.00000064. Let j = -3 - y. Round j to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = 2*f + 52, f + 4 = 0. Let y = k + 13. Which is the nearest to -0.05? (a) -0.3 (b) -2\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 - -76.9806. Let v = h + 0.02. What is v rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*21\/140)\/((-3)\/(-40)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**4\/12 + b**3\/3 - b**2 - 3*b. Let t be (-1)\/(2\/(-1 + -7)). Calculate y(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*i = -i + 4, 6 = q + 2*i. Solve 5*t + g - 23 = 0, -t - g + 5 - q = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*c**6 - 24*c**2 + 7 - 7 wrt c?\nAnswer: 3720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - x - 44 - x - 53 - 2388*x**2.\nAnswer: -2388*x**2 - 2*x - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -12. Let n(t) = -7*t**2 - t + 21. Let x(b) = -6*b**2 - b + 21. Let u(l) = h*x(l) + 3*n(l). Is u(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 + 6*w**2\/7 - 36*w\/7.\nAnswer: 2*w*(w - 3)*(w + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from dppdapkapdccppppcaa.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303, -322, -341, -360?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 73 - (6 - (-18)\/(-9)). Let g = y - 63. Calculate the least common multiple of 556 and g.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*g + 6, -3*y + 7*y = g + 12. Let o = 0.6 + -0.5. Which is the closest to g? (a) 1 (b) o (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -0.03128.\nAnswer: -5.03128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 20 (c) 9 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 2)*-1*89. Let v = -26 - -115. Let n(i) = -2*i**2 - f*i + v*i. Let h(m) = 2*m**2. What is n(h(l))?\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/23, 4, -17.592, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 16*n - 71. Let i(b) = -3*b + 14. Calculate 11*i(g) + 2*u(g).\nAnswer: -g + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z**3 - 64*z + 14*z**3 + 11 - 12. Let g(o) = -o**3 - o**2 + o - 1. Let v(j) = -g(j) + s(j). Find the third derivative of v(b) wrt b.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 + 6*o**2\/5 + 32*o\/5 + 24\/5.\nAnswer: -2*(o - 6)*(o + 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 502681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1\/7, 0.2, -6, 53?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7392 and 120.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 9 = -2*p. Let t be 168\/20 + p\/(-5). Suppose -6 = -4*u - 2*n, 5*n + t = 3*u - 7*u. Solve k + u*a = -14, -4*k - 1 = -a + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 8, -l + w - 40 + 236 = 0. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -7 (b) 2 (c) -1\/6 (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 - (0 + 0 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**7\/350 - 2*r**6\/25 - 101*r**5\/100 - 21*r**4\/10 - 14*r**2 + 34. Factor b(w).\nAnswer: 3*w*(w - 21)*(w + 1)*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1132 + 1011\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/17480154 and -89\/30.\nAnswer: 87400770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**6\/120 - 5*g**3\/6 + 5*g**2\/2 + 10. Let s(r) be the second derivative of z(r). Differentiate s(n) wrt n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o + 5*o + 40166 = 175*o. What is the greatest common factor of o and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 208\/(-39)*(-3)\/4. Suppose -l + 1 = -2, -m*l + 56 = 4*q. Suppose -2*b + 0*b = -2. What is the smallest common multiple of q and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6242 = -15*z + 33707. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94 - 61. Let s be 11\/b + 195\/9. Suppose -7414 + 1804 = -s*p. List the prime factors of p.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q. Let r(s) = -167118*s + 966. Let k(v) = -866*v + 5. Let m(w) = 966*k(w) - 5*r(w). Give c(m(h)).\nAnswer: 3864*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 2. Let l be q(3). Let t(a) = -4*a + 1. Let v be t(l). Is (-66)\/v - (-2 + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/13 + 153\/150)*(38\/6 - 7)?\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 70 = 14*t, 5*t - 13 = -5059*s + 5055*s + 1 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33586 = -1699*z - 147419 for z.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 3. Let l(o) = -19*o - 70. Let m(g) = 7*g + 26. Let r(y) = -3*l(y) - 8*m(y). Determine -5*h(s) + 6*r(s).\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from psppppppsppp.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50.885 + 51. Let h = a - 0.046. Let w = h + -0.0628. What is w rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 smaller than 3570\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 + -83. Put 0, -0.5, r, 1 in decreasing order.\nAnswer: 1, 0, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -665 and -2896.\nAnswer: 1925840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19610614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, d: 3, h: 1, x: 2}. Give prob of sequence dxdx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8255338, -8255356, -8255372, -8255386, -8255398?\nAnswer: -8255408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 + 0*r**4 - 3*r**4 + 1 + 2*r**4 - 1 + (1 + 1 - 4)*(4*r**2 + 2*r**4 - 4*r**2) - 2*r**4 + r - r + (-2 + 2 + 4*r)*(-2*r**2 + r**3 + 2*r**2).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/17)\/w*w**(-26\/9))**(-27))**(-14\/9))**(-34) assuming w is positive.\nAnswer: w**(16912\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.06 (b) 5 (c) 0 (d) -161 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {p: 5, f: 13}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**3*d**3 - 70*c**3 + 14*d**3 - 5*d wrt d?\nAnswer: -18*c**3*d + 84*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/10)*(((m*m\/m**(-1\/2))\/m*m)\/m)\/m assuming m is positive.\nAnswer: m**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/3115931 and -117\/1917496?\nAnswer: 24927448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.58 + -0.38. Let w(q) = q**3 + 9*q**2 + 5*q + 1. Let o be w(-4). Let v = o - 429\/7. Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5424871 rounded to two decimal places?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 6. Let f = 55 + -53. What is the smallest common multiple of o and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-100582)\/264 + -1 + 0. Let d = n + 4146\/11. What is the common denominator of ((-1)\/(-36))\/((-4)\/(-822)) and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/13))**(-31)*p**(-2\/23)\/(p\/((p\/p**(8\/7))\/p)) assuming p is positive.\nAnswer: p**(-14649\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 11\/33637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o + 4 = 0. Let s = o - 2. Is 11 a factor of (3\/3)\/(s\/(-13))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 1. Let l(x) = 4*x**2 - 36*x + 36. Let q(g) = -2*g**2 + 18*g - 18. Let r(z) = 2*l(z) + 5*q(z). Give -36*m(f) - 2*r(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f - 3*l - 45, 2*f = 4*l + 30. Suppose 2*g - 21 = c, -2*g - g - 3*c = -f. Calculate the remainder when g is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66.77*-0.07.\nAnswer: -4.6739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 84483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.19 - 0.09. Let s = o + -4.1. Put 0.1, 0, s in increasing order.\nAnswer: s, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - 49 - 53*y**2 - 6*y**2 in the form l + i*y**2 + d*y and give i.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -222092107*d**2*x**2 - x**2 - 2270196*x - 2 wrt d?\nAnswer: -444184214*d*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlrl when four letters picked without replacement from {l: 2, x: 3, r: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, -42, 1, -26 in increasing order.\nAnswer: -42, -26, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -2\/105*g**7 - 32\/3*g**3 + 4\/15*g**6 + 0 - 8\/5*g**5 - 9*g**2 + 16\/3*g**4 + 0*g. Suppose u(t) = 0. What is t?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*k = -n + 43, k = 4*n + 229. Let h = 86 + n. Suppose -15*i = -29*i + 154. Calculate the remainder when h is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083092638.\nAnswer: 2, 29, 37, 569, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -15 + -3 + (-10 - -48)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.999936 + -13. Round m to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17851, 36041, 54241, 72457, 90695, 108961?\n\"Answer: x**3 - x**2 + 18186*x - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1204496, 5 in increasing order.\nAnswer: 0, 5, 1204496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6.28 * 6.314\nAnswer: -39.65192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 0. Let i = 15 + -9.9. Let t = o + i. Which is the second smallest value? (a) 0.2 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 20 = 5. Let p be (-5)\/((-100)\/28) - -1. Suppose 16\/5 + 2\/5*d**g + 22\/5*d**3 - 4\/5*d**2 - p*d**4 - 24\/5*d = 0. Calculate d.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.777958114 to three dps.\nAnswer: 0.778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzr when three letters picked without replacement from {r: 8, z: 3}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + w**2 - 2*w. Give b(-5).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 5624524?\nAnswer: -5624530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m - 10*m = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2 = 2*g, -8*g = -2*w - 9*g + 11. Let p(d) = -73*d - 2. Let h(a) = -73*a - 3. Give w*p(l) - 2*h(l).\nAnswer: -73*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -15836.\nAnswer: -15835.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/18)\/(2\/(-78)). Is 2*u - (-8 - -8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 2:27 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - i + 1. Let f(g) = 0*g + 1 + 0*g**2 - 2*g**2 - g. Let s = -870 - -858. Let b be 2 + (-21)\/14 - (-42)\/s. Determine b*q(a) + 2*f(a).\nAnswer: -a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 32 + 68 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91057*l + 91054*l + 14 = 2*w, -l + 3 = -w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -148 + 148. Put v, -34, -1, 1 in increasing order.\nAnswer: -34, -1, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73\/701 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 1)*(-5)\/15. Solve 5*j = -v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134944 divided by -1.\nAnswer: -134944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-6) - 24265\/(-690). Suppose -3*h + 16 = 5*n, 5*h + 5*n - 15 = 5. Suppose 0 = -y + h*g + 12, 36 + c = 5*y + 2*g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/2 - 2*m**3 + 3*m**2 + 2*m - 5\/2.\nAnswer: -(m - 1)**2*(m + 1)*(m + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1302191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489817787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a decade?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:07 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**4 + 36180*j**3 - 81830064*j**2 + 81359824*j + 981527232 = 0.\nAnswer: -3, 4, 4522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*((-2*k**2 + k**2 + 0*k**2 + (0 + 0 - 2*k)*(2*k + 4 - 4))*(0 + 3 - 1) - 4*k**2 - 2*k**2 + 3*k**2)*(45*k**3 + 61987*k**2 - 61987*k**2).\nAnswer: 1170*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (15\/15 + 1*-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -2, 9376, 12 in descending order.\nAnswer: 9376, 12, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 23*t**2 + 4*t - 13. Suppose -13*s = -11*s - 6. Is n(s) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57772.48nm to centimeters.\nAnswer: 0.005777248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.07 + 17.93. Let j = 19 - c. Is 1 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -624 + 1119. What is the greatest common factor of b and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 0. What is the third smallest value in -1\/7, 4\/9, v, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -2, -16 in increasing order.\nAnswer: -16, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 742064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 497, 2127, 4887, 8777?\nAnswer: 13797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 753?\nAnswer: -7\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzzt when four letters picked without replacement from cbgbctzttbtzbttbtzt.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**(-1\/4)\/(n**17\/((n*n**20\/n)\/n)) assuming n is positive.\nAnswer: n**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(0 + (sqrt(36)\/(1*sqrt(12)) + sqrt(75)*1 - sqrt(15)\/(-5*sqrt(405)))))**2.\nAnswer: 293689\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 545908955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - 2*s + 3. Suppose 2*k - 4 + 20 = 0. Let h(f) = -6*f**2 - 6*f + 8. Let o be 4\/6 + (-14)\/(-6). Calculate k*r(y) + o*h(y).\nAnswer: -2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68225?\nAnswer: 5, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a + 0*a**2 + a + 17*a**2.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58842 - -294211\/5. Let f = 10 + -14. Put 4, -18, f, k in descending order.\nAnswer: 4, k, f, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + a + 5. Let l be g(0). Let u(f) = 5*f - 141. Let h be u(39). Let t be (h\/8)\/(-6 - (-50)\/8). Solve l*j - t = -2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g*g*g**(-2\/13)*g*g)\/g)\/g*g*g*g**(1\/9)*g*g)\/(g**(1\/2)*g**1*g)*(g**(-1\/3))**16\/(g*g**(-6)*g*g\/(g**8\/g)) assuming g is positive.\nAnswer: g**(2135\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 88\/1045*(-520)\/416\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/120 + o**4\/6 - o**3\/6 + o**2. Let k(t) be the first derivative of a(t). What is the units digit of k(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5207*s = 5206*s + 5*m - 18, 3*s = -m - 38 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23285333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 122*m**2 + 6*m + 37. Let o(n) = 124*n**2 + 7*n + 36. Let f(r) = -4*l(r) + 5*o(r). Is f(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 + 882*k - 5371. What is d(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3))**18*a**8*a\/(a*a\/(((a*(a*a**(3\/2)*a)\/a)\/a)\/a)*a) assuming a is positive.\nAnswer: a**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f - 108 = 0. Suppose 5*a + 121 = f. Let g = a + 26. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 4*t - 8. Let i be u(-6). Calculate the remainder when 6 is divided by (-2)\/i*(-6)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160 + 193. Let v = 33.5 - s. What is the nearest to -1\/3 in 1, v, 22?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*m - 1142, 0*d - 5*m + 1162 = 4*d. Calculate the smallest common multiple of d and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.6 + -6. Let a = 3674524\/23 + -159762. What is the biggest value in -7, a, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82 by 2.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1617125 and 850?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**2 + r**2 + 3*r**2. Let m(c) = c**3 - 7*c**2 - 9*c + 10. Let y be m(8). Let n(j) = -j**2 + j**2 - 3*j**y. What is n(p(q))?\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 18. Let t(d) = d**3 - 11*d**2 - 28*d + 20. Let m be t(f). Let g be (-40 + (3 - 2))\/(2\/m). What is the greatest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24064361 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (77\/693)\/((-9)\/81)*23\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 185762621467?\nAnswer: 185762621467.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42954310 to the nearest integer?\nAnswer: 6554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12*b**2. Let q(a) = 122*a**2 - 3. Determine q(j(p)).\nAnswer: 17568*p**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 8*l - 92. Suppose 36*g + 1116 = -154*g + 4*g. What is y(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 578, 2375, 6586, 14417, 27074, 45763?\n\"Answer: 201*x**3 + x**2 + 387*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 57 = 2*a, 2*a - 14*l + 7*l - 53 = 0. Is a <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 215544320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7916085 millilitres in litres?\nAnswer: 0.0007916085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 884, 8, 1\/3, 0.2, -1\/5 in decreasing order.\nAnswer: 884, 8, 1\/3, 0.2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.30656126 rounded to two dps?\nAnswer: -2.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -12*b + 11. Let o(h) = -5*h - 27. Let m(r) = -33*r - 183. Let w(q) = -4*m(q) + 27*o(q). Calculate -6*i(s) + 22*w(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3482600?\nAnswer: 2, 5, 11, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 33*k. Let n(m) = -125*m**2 - m. What is z(n(a))?\nAnswer: -4125*a**2 - 33*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1)*(14 + (-55)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/30 - 64*y**2. Let o(d) = -93*d**2. Give m(o(f)).\nAnswer: -17298*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2120012 (base 3) to base 12\nAnswer: 10b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1)*-3 + 1. Let a = -5 - n. Let f be -2 + a - (-6 - 2). Calculate the highest common factor of 48 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*y + 40*y = -27*y + 868. Let g(c) be the second derivative of 0*c**3 - 32*c - 23\/12*c**y + 0 + 0*c**2. Let d(w) = -2*w. What is g(d(q))?\nAnswer: -92*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from {i: 2, d: 2, e: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88357 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116 and 36.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1035*l**2 - 5161*l - 32. Calculate j(-5).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2 - 201*k - 41. Let l be c(-40). Let n = -15 - -10. What is the third smallest value in n, l, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*i + 2*i. Suppose -j = -i*j + 4. Is j\/14 - 1015\/(-49) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 - s**2 - 27*s - 42. Calculate o(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1829 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/15688 and -81\/74.\nAnswer: 15688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1227*u + 1194*u + 2277. Let q = 324 + -186. Calculate the greatest common factor of q and u.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*k - 29 = -0*k, -3*k + 26 = 5*r. Let j = 3 + r. Solve -h - 4*a + 13 = 0, -8*a + 3*a = -j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.212 + -0.002. Let k = -0.21 + m. Which is the third smallest value? (a) k (b) 1 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 37*m**2 - 10*m + 11. Is w(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) 821 (c) 6 (d) 5 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (667*k + 670*k + 98882*k**2 - 2006*k + 669*k)*(k**2 - k**2 + k**2) to w*k**2 + r*k + n + t*k**3 + j*k**4 and give j.\nAnswer: 98882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/525 - -3163\/6825. Is 4\/3 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29892432 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2734082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 - 10*b + 8. Suppose -4*n + 34 = 3*g, 5*n + 0*n = 2*g + 8. What is the tens digit of y(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4753*p**3 - 2354*p**3 + 3*p - 25*p**2 - 2269*p**3 - 3*p.\nAnswer: 130*p**3 - 25*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*a - 90, -q + 3*a + 99 = 34. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 141508 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 489*x - 484*x + 11, 0 = -5*x - 2*b + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59\/41 + 1639\/656. Calculate the common denominator of 51\/218 and s.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**1)**30)**(-33) assuming f is positive.\nAnswer: f**(-1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -204, -408, -612, -816?\n\"Answer: -204*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000333565463 rounded to 5 dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.26 - 1.74. Which is the closest to s? (a) 5 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3527249795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78100*v**3 + 78100*v**3 + 22*v**4 - 3*v + (3*v + v**4 - 3*v)*(-1 - 1 + 1).\nAnswer: 21*v**4 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5169987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4823*k - 4820*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 209, 226, 245, 266?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53\/7, 34, -1\/5, 2\/25, -25 in ascending order.\nAnswer: -25, -1\/5, 2\/25, 53\/7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 11, f: 2, b: 6}. Give prob of picking 1 k and 1 b.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44477, -88926, -133397, -177902, -222453?\nAnswer: -267062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174\/(-580) - (-105939)\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-1 - 29) + 3. Let n be -2*1 + (-3 - -11). What are the prime factors of n\/d + (-126)\/(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 296, 427, 540, 629, 688, 711?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49822, 49824, 49826, 49828?\nAnswer: 49830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*x + 283*x + 6 = 4*g, -4*x - 4*g = 0. What is the remainder when 1702 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3976?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l - 1 + 1 + (-692 - 495 + l - 1115)*(2 - 1 - 2).\nAnswer: -4*l + 2302","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -5\/3*p**3 - 1\/120*p**6 + 0*p + 0 - 5\/24*p**4 + 3*p**2 - 7\/60*p**5. What is the units digit of x(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 414483.1us?\nAnswer: 414483100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 2:30 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*p**3 - 6*p**2 - 30 - 128 - 2*p**3 + 0*p**3 - 10*p**3 wrt p.\nAnswer: -27*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2509 = -2*r - 1501, 0 = -3*l + 4*r + 3005. Let g(k) = 79*k + 55. Let s be g(12). Let v(h) = -h + l - s. Let u(t) = -24*t + 1. What is u(v(i))?\nAnswer: 24*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 3\/(-1)*(-12222)\/(-9126). Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 34 + 38 = 0. Let m be 31\/d + 33\/(-44). Let t = 11 - m. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -120 - -137. Let v(o) = o**3 - 20*o**2 - 22*o - 26. Let n be v(21). Let p = -15 - n. Calculate the remainder when p is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 - 5)*(-12*g + 63*g**4 + 7*g + 5*g) to w*g**3 + s*g**4 + k*g + v + o*g**2 and give s.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -437387*l + 437387*l + 6847*l**3 + 1 - 1 + 2*l**3 + (5*l + l - 4*l)*(2 - 2 + 2*l**2) + 2*l - 2*l - l**3 as c*l + s*l**2 + p + q*l**3 and give q.\nAnswer: 6852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107154 + 181411. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from xgzwggjzzj.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)\/(i**0\/i*i))**42*(i\/(i*i**4)*i\/(i\/(i\/(i*i*i*i\/(i\/(i\/(i*i*i**(1\/5))))))))**(-3\/14) assuming i is positive.\nAnswer: i**(-384\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/((-204)\/24). Is 1 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -247 + 475. Suppose -148*m + 142*m + w = 0. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 11*y**3 - 9*y**3 + 0 + 2*y**3.\nAnswer: -18*y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*sqrt(175) + 0.\nAnswer: -45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*o + 140*o + 78*o)*(0 - 4 + 3)*(-2*o**2 + 2*o**2 + 3*o**3).\nAnswer: -495*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5 + 14*s - 1 + 6*s**3 + 4 - 7*s**2 + 1. Is 35 a factor of r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-687*v**3 + 337*v**3 + 351*v**3 + 48*v**4)*(0*v - 3*v + 2*v).\nAnswer: -48*v**5 - v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 9:24 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1926728*u**4 - 102*u**2 - 1926744*u**4 - 30*u**5 + 70*u**5 wrt u?\nAnswer: 2400*u**2 - 384*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 4:24 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 33. Let g = 7 - -2. Is (-1)\/((g\/(-111))\/x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p + 3. Suppose 4*h - 4*r = -8, -21*h + r + 18 = -25*h. Let f(i) = -6*i + 3. Let j(t) = t. Let d(c) = -f(c) - 3*j(c). Give h*d(o) - 5*y(o).\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/14 and -68\/125825?\nAnswer: 251650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -97377800 rounded to the nearest 1000000?\nAnswer: -97000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 24*z**2 + 355 + 359 - 718 - 25*z**2 - 11*z**2 + 2*z**2 + (0*z + 2*z - 4*z)*(z + 0 + 0).\nAnswer: -12*z**2 - 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/42 - (-15)\/105?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-7))\/(-2)*98\/(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -11*v**3\/6 - v**2\/2 + 2*v - 137. Determine d(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4, 4*l = -v - 2*v + 13. Suppose 3*g + 234 = 3*i - v, -2*i + 161 = g. Suppose 0 = -3*k - 2*k + i. Calculate the remainder when 30 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 times -33\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 20, -20 = -3*s + 7*q - 3*q. Solve s = -8*p - 51 + 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15815, -15978, -16251, -16634, -17127?\nAnswer: -17730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4441 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*n + 91*n + 6426 = 0. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -408*r**4 - 243456*r**3 - r**2 - 7*r + 24257106 wrt r.\nAnswer: -4896*r**2 - 1460736*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5, 4*p - 277 = 2*p + 3*k. Let q = -6 + 8. Suppose -5*b + 335 = -5*g, 4*b - p = -q*g + 155. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/10 of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 11*x - 64. Solve 2*d - 3*y + x = -2*d, -6 = 2*d - 2*y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 2) + (2 - 2). Suppose z - 3*t + 4 = f, -4*t = -5*z - 6*t + 48. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -18, 63.4, 3, 1, -0.2, 1\/4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 = -3*q + 94. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21006?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 9*p + 26. Let o be i(-11). Solve -o*g = g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18391 and 3445.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 593. Is v(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(272\/4))\/(1\/2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-8 - 4)\/4. What is the least common multiple of (((-60)\/25)\/(-2))\/((-6)\/(-40)) and 8 - (w - (-1 + -3))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 69 - 106 = 3*t, -2*o + 66 = -5*t. Solve 20*f - o = -93 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, z: 3, a: 3, n: 1, m: 1}. What is prob of sequence mn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 106*i**3 - 106*i**3 + 4*i + 5*i**5 + (0 + 0 + i)*(-2*i**4 - i**4 + 2*i**4) - 2*i**4 + 2*i**4 - i**5 + 7*i**5 + 3*i**5 + 0*i**5.\nAnswer: 13*i**5 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uzuaauuausuzpua?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Let h be (1\/f)\/(1\/9). Let t = -5.78 + 4.78. Which is the nearest to t? (a) h (b) -0.4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z - 2. Let a be x(-11). Round a to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/20)\/((-2)\/5). Let s(t) = 1882*t**2 - t - 1. Let x be s(2). Suppose -x = -4*f - w, 2*f = f + h*w + 1860. What is f rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**6\/240 - 71*v**5\/120 - 271*v**4\/48 - 67*v**3\/4 - 57*v**2 + v. Factor z(a).\nAnswer: -(a + 1)*(a + 3)*(a + 67)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 1 + -1)\/1. Solve -4*o - 18 = -w + 4*w, 0 = w + t*o + 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 10 = -5*l, -4 = 4*l + 2*d + 4. Let c be (l\/(-4))\/(1\/34). Solve 4*b - 48 + 12 = -4*j, -5*j = -2*b - c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0.07, -1109, -266, 1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7183, -7177, -7171?\n\"Answer: 6*o - 7189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*u**4 + 2*u**4 + 2*u**3 - u**4 to r + w*u**2 + s*u**3 + y*u + l*u**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 11:35 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 110367 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -644.355+-34.679\nAnswer: -679.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443, -1187, -2273, -3707, -5495, -7643, -10157?\nAnswer: -13043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37264 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert b07d38 (base 14) to base 16.\nAnswer: 5a9ace","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8090 plus -0.21?\nAnswer: 8089.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 6) in base 12?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/7891 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*w = 9, -6 = -0*u - 2*u - 3*w. Suppose -u*k = -5*k - 8. Let a be (7 + k)*(-1)\/3. Is -0.3 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.14, 2.2 in decreasing order.\nAnswer: 2.2, 2, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 446 - -c6b?\nAnswer: 11b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37\/3 - -299\/24. Let v = 6 + -10. Let u = 17 + -17.4. Which is the nearest to -1\/3? (a) h (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {r: 7, h: 6, k: 4}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.96 in 0.17, -92.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 128.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828 greater than 188194\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -13*c**7\/210 + 17*c**4\/24 - 5*c**2. What is the second derivative of f(a) wrt a?\nAnswer: -156*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 0, -5 in increasing order.\nAnswer: -46, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1160.6 + 1161. What is the second biggest value in j, -1\/4, -7.32?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2970\/792*(-20)\/15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*h - 528 = 0, 4*h + 11 = 2*b - 263. Let u = b - 643\/5. What is the closest to -0.1 in -2\/3, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1730, -7094, -16040, -28568, -44678?\nAnswer: -64370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w = 37*w. Which is greater: 1\/504 or w?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*s + 19*s - 8*s + 19*s to the form d*s + i and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*p - 2*p - 180, 3*h = 4*p - 706. List the prime factors of p.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40375 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 38 = h. Let p = 29 + -9. Let d = 39 - p. What is the greatest common divisor of h and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (715\/30)\/11 + 2\/(-12). Suppose f*z - 7 = 1. Suppose -y + 11 = 3*k, -2*y + 6 = k + z. Solve -5*v - k = 1, 0 = -4*s - 2*v + 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 5:35 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -4\/1185375 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2251 - 841. What is the hundreds digit of ((-72)\/18 - 2*1) + i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 14*g**2 + 1. Let j(f) = f**3 - 9*f**2 - f - 1. Determine 3*j(q) + 2*x(q).\nAnswer: 3*q**3 + q**2 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -746 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 67\/2, -0.1, 2 in descending order.\nAnswer: 67\/2, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 5 = 5*q. Let u be 1 - q\/(-8)*-2. Suppose -u*l = 3*d - 77, -4*d - l + 110 = -2*l. Calculate the remainder when 80 is divided by d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6 + 9 + 0*i - 2 - i. Let h(g) = -2*g + 3. Give -h(r) + 4*m(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/96*(-6)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3 + l + 65 - 3*l - 36*l**4 + 15*l**4 + 57 + 10*l**4 wrt l.\nAnswer: -132*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100110100011011101 + 101?\nAnswer: -11100110100011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-9) - 1148\/(-6). Let l = -683 + 797. Let t = q - l. Calculate the lowest common multiple of 4 and t.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**7\/189 + 11*q**6\/135 - 8*q**5\/45 - 20*q**4\/9 + 16*q**3\/3 + 48*q**2 + 777*q. Determine r so that a(r) = 0.\nAnswer: -2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12c (base 13) to base 4.\nAnswer: -3033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + -7 + 655\/95?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 6 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 10:47 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 15. Suppose 13 + 17 = -j*m. Let q = 24 + m. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 225*k**2 - 1.\nAnswer: 225*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 78, 88, 100?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*j = -176*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47.7? (a) 1.5 (b) -3 (c) 2 (d) 1\/2 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(2*g + 2 - 2)*((-1 + 3 - 1)*(0 - 3 + 1) + 0 + 3 + 0).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -4. Suppose 6 = 7*c - x*c. Suppose 3*f = -d + 28, -c*f - 2*d + 6*d + 38 = 0. Solve 0*m + f = -2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1536 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 6*a**2 - 5*a - 3. Let u(q) = -2*q**3 + 6*q**2 + 6*q + 4. Let d(k) = 2*u(k) + 3*y(k). What is d(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w + 108. List the prime factors of -4*(-3)\/(w\/39).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7199 and 44759.\nAnswer: 1029457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 - -112. Let q = -31 + 17. Let k = p - q. Solve k*m - 8*m = 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -787*y + 763*y = 24. Let w(j) = 36*j**3 + j**2. Give w(y).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c - 25. Let t be s(-5). Suppose -3*q = t*y - 7*q - 168, -q - 141 = -4*y. What is the remainder when y is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*s = 354, -2*s = -0*t - 4*t - 458. Let n = t - -120. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.33184234 rounded to 4 dps?\nAnswer: -1.3318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2 - 132*t - 11. Let s(b) = b. Determine s(j(d)).\nAnswer: -3*d**2 - 132*d - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9892, -9894, -9898, -9904, -9912, -9922?\n\"Answer: -w**2 + w - 9892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9.12 and 2117?\nAnswer: 2126.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4\/3, 1\/4, -2\/187.\nAnswer: -4\/3, -2\/187, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -m + 3*y - 14, -m - 5*y + 31 = 0. Let d = m + -1. What is the nearest to 2\/5 in -0.2, -1, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a95 - 9964?\nAnswer: -a729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 18*w - 38. Let s(v) = -v**2 - 68*v + 232. Let i be s(-71). Calculate b(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 10*p**2 - 5*p - 11. Let b = 32 - 23. What is the units digit of s(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-8)*-6 + 4. Let b = 4 + z. Suppose -2*m + 3 + b = 0. Calculate the smallest common multiple of m and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 94 = 6*b - 25, 2*t + 5*b + 103 = 0 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000716905845 rounded to 6 dps?\nAnswer: 0.000717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177\/1180*(39215\/138)\/(-31).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -9. Let m(l) = 8*l**2 - 7*l - 1. Let t(g) = 41*g**2 - 39*g - 5. Let p(a) = 11*m(a) - 2*t(a). Determine p(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*v - 59*v = -156*v + 1520 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**4\/24 + 2*l**2 - 275. Let z(m) = -6999*m - 2. Give z(y(w)).\nAnswer: -6999*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/13 in -48\/7, 3\/4, 0.3, -0.1, -75?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(-6)\/(9\/(-9)) - -181 is divided by 41.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001282676 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 7:38 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1910 + 3746. What is the greatest common factor of w and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/74, -5, -0.5?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 20*y**5 - 2196144*y**4 + 60289423488*y**3 - 72340192792*y**2 - 108517097172*y + 24114715272 = 0.\nAnswer: -1, 1\/5, 2, 54903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 4 - -4) + -268*3\/(-108).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(3*(-1 + sqrt(243)) - (2 + sqrt(243) + 0)) + -2)*-5)**2 + 1.\nAnswer: -6300*sqrt(3) + 25526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 3*s**2 - 3*s + 3. What is x(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1250.94213 to the nearest 10.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*n, -593*a - 3*n - 6 = -596*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 2*j + 9 - 3, 1070 = 7*d - 4*j + 1048 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-590)\/4*4080\/(-300) a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.7 in 0.35, 0.5, 2, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from kvjjvve?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -8*v**5\/3 + 1108*v**4\/3 - 26956*v**3\/3 - 1108*v**2\/3 + 8988*v = 0.\nAnswer: -1, 0, 1, 63\/2, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (2\/3 - 1)\/((-1)\/33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 t when four letters picked without replacement from iigtffgsifgigiigt.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 3, o: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 294 = 3*j, 12*x + 3*j - 888 = 9*x. What is the greatest common divisor of 27 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*c*m**5 + 29435*c*m + 7*c - 4*m**5 - 3722*m**2 - 2*m - 40 wrt m.\nAnswer: -820*c*m**3 - 80*m**3 - 7444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4979, 29, -329.\nAnswer: -4979, -329, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17a25 (base 13) to base 5\nAnswer: 2430121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 1856861977?\nAnswer: -1856861977.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 0.04 (c) 4 (d) 509 (e) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -119?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 259693*m**3 + 267087?\nAnswer: 779079*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21148 = -115*o - 21493 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22\/6 + -3)\/(9\/81). Let g be 0 - -4 - (75\/s)\/5. Suppose 11\/2*j**2 + 2*j**3 + g + 5*j = 0. Calculate j.\nAnswer: -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 40. Let k be z(-18). What are the prime factors of 402\/k + (27\/(-6) - -5)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 910 = 3*z - 8*z. Round z to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 88*y + 12232. Give i(78).\nAnswer: -716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (-1)\/(1 + -3 + 1). Suppose y*w = -l + 3603, l + 3*w = -2*w + 3605. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4)*(-w - 2*w + 2*w) - 3 + 3 + 3*w + (-1 + 1 - 4)*(-4 + w + 4) + 8 - 8 - 2*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(4 - 1)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.15 - -1.82. Let b = l - -0.33. What is the fourth smallest value in 0.2, -4, b, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 347 + -350. Let m = -12.6 - -11. Let j = m + 1.5. What is the nearest to 0.1 in s, -0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.92 + -26.02. What is the third smallest value in 5, m, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148085309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22269 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25606 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -4 - -9 - 1. Let k = l + 20. What is the remainder when k is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 213 - -2f5?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192038 and 522?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.723876g?\nAnswer: 8723876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -4. Let z = 2 - -1. Let s = z - 3.1. Which is the closest to 0.2? (a) s (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*p**2 - p**3 + 4 + 9*p**2 in the form g*p**2 + r + k*p**3 + b*p and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7094\/13 (b) 4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*b**2 + 166*b**2 + 223*b**2.\nAnswer: 621*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5 + 2\/5 + -73. Let l = c - -73. Suppose -4*s = -l*d - 2*d - 4456, 2*d = -5*s + 5579. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -14, -12, -10, -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h - 1. Let t(r) be the second derivative of 3*r**3\/2 + 3*r**2\/2 + 158*r. Let j(m) = t(m) + 3*w(m). Let x(s) = -4*s. Determine x(j(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.308 - -11.608. Which is the nearest to -10\/9? (a) -0.03 (b) -6 (c) -0.4 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/500 and ((-2)\/(-464)*6\/(-60))\/(60\/(-6192)).\nAnswer: 14500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21594 is divided by 3592.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.048 (c) 2\/3 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/81 and 97\/1157040.\nAnswer: 10413360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 25*z**2 + 64*z + 19. Determine n(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11314 * -89\nAnswer: 1006946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036035 is divided by 518003?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 132*r**5 - 5*r - 7*r - 135*r**5 + (-2*r**2 + 3*r**2 + 1 + r**2)*(6 + 3*r**3 - 6).\nAnswer: 3*r**5 + 3*r**3 - 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**5\/5 - 159*b**4\/5 + 2982*b**3\/5 - 23616*b**2\/5 + 66528*b\/5 = 0?\nAnswer: 0, 7, 12, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -5. Let b = p - -4. Solve -b - 5 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4755268342 a multiple of 4822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1963, 0, -9.\nAnswer: -10, -9, 0, 1963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.11 (b) -5 (c) 52 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -i. Let w = i + -2. Let o(l) = 4. Let t(a) = -a - 2. Let g(p) = 2*o(p) + 4*t(p). What is g(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 20442?\nAnswer: -20443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9533 is divided by 2381?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200 + -201. Let z = 0.1 + -0.1. Which is the closest to x? (a) 2\/9 (b) 1\/8 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 14*j - 37. Give n(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 54125719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8))**(8\/11)*b**(-25)*b**(2\/17) assuming b is positive.\nAnswer: b**(-5741\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 437 - 417. Calculate the lowest common multiple of w and 488.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16553 + -6678. Is g a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*y**3 + 86*y**3 + 47*y**3 - 115 wrt y.\nAnswer: 441*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9141 - 8304.9141. Let r = i + 8303.0004393. Round r to five decimal places.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1289*q**2 - 3529*q**2 + 946*q**2 + 1290*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -163 (base 12) to base 5\nAnswer: -1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 2\/11, 1, -0.0021, 4\/221, 3, 1\/3?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-8 - (11 + -28)) + 28 + (-6 - 2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(2\/9))\/s)**17*(s\/(s*(s*s\/(((s*s**(-13))\/s)\/s))\/s*s))**(-27))**14 assuming s is positive.\nAnswer: s**(54908\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7 + 5 + 2*b - 33 + 9 + 3. Let x be n(7). Solve 0 = -x*v - 16 - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -2 + -8 - -38 - (105 + 0 + -3)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7))**(-21\/5)*j*(j**(2\/5)*j)\/j*j**(2\/9)*j)\/((j\/j**(2\/5)*j**(1\/6)\/j)\/((j*(j*(j*j**(-1\/3)\/j*j)\/j*j)\/j)\/j)**19) assuming j is positive.\nAnswer: j**(1289\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 20\/21)*(6 + 0)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s**3 - 4*s**2 + 2. Let m(n) = 22*n**3 + 13*n**2 - 7. What is 2*m(y) + 7*t(y)?\nAnswer: -5*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n**2 + 2. Let y be t(0). Let s = y + 0. Which is bigger: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - 2*v**2 + v**2 + (5*v - 4*v + v)*(-4*v + 3*v + 0*v) + 0*v**2 - 3*v**2 + 4*v**2 + (6*v - v + v)*(0*v + 3*v - 2*v) as r*v + m + a*v**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2029 + 1526680.07.\nAnswer: 1528709.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34133 + 5*u**3 + 68061 - 33928.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 3:54 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k = 121 - 73 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3168) + -2*sqrt(3168))\/((sqrt(99) - sqrt(99)*-2) + sqrt(99)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.514642 nanoseconds in milliseconds?\nAnswer: 0.000000514642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1972*v + 7020*v - 98775 = 47617 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1532, -3071, -4610?\n\"Answer: -1539*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 + -223. What is the remainder when ((-410)\/8)\/(q\/64) is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 + -53. Suppose 2*c - 8 = 5*s, 4 + 4 = 4*s. Calculate the remainder when o is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105260 and 518?\nAnswer: 27262340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1589128 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 8*a**4\/7 + 974912*a**3\/7 + 2924682*a**2\/7 + 2193502*a\/7 + 487444\/7 = 0.\nAnswer: -121861, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 69677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 u when three letters picked without replacement from {y: 6, w: 6, t: 2, h: 1, u: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/(q*q**(2\/25))*q**12*q**(-13\/5)*q*q)**(-46) assuming q is positive.\nAnswer: q**(-14168\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p - 8 = 0. Let g = p + 0. Calculate the least common multiple of 10 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 261*j**2 - 6*j + 18. Let y(z) = 52*z**2 - z + 3. Calculate -2*h(r) + 11*y(r).\nAnswer: -2*r**3 + 50*r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 11:57 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-287849)\/(-4) + 117\/156 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1067884146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200476 (base 8) to base 5.\nAnswer: -40443443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1*1\/12*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irrr when four letters picked without replacement from {i: 1, r: 3, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**7)\/u)\/u**(-4)*(u\/(u\/(u**(2\/7)*u*u)))\/u**(3\/16) assuming u is positive.\nAnswer: u**(11\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 52 = -128. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110100000101100101011 + 101?\nAnswer: -10110100000101100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 468*s**3 + 1020945 - 1020945 + s**4 - 2*s**2 in the form o*s**4 + f*s**3 + q*s**2 + p*s + n and give f.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a - 16. Is 7 a factor of g(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) - -6*(sqrt(117) + sqrt(117)*1 - sqrt(117))))\/(sqrt(36)\/sqrt(4)*-5) + 4 + 4 + sqrt(143)\/(sqrt(66)\/sqrt(6)) + 5.\nAnswer: 11*sqrt(13)\/5 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 8 - ((11 - -5) + -15).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 946 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -210121111221 (base 3) in base 9?\nAnswer: -717457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3762701 grams in tonnes?\nAnswer: 0.0000003762701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123293418 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 + (-235)\/(-10). Suppose 92 = 5*o - 4*q, -5*q + 41 = 5*o - b. What is the highest common factor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4052000 rounded to the nearest 10000?\nAnswer: -4050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1030*t**2 + 9757*t**2 - 8727*t**2 - 22*t**3.\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46 and 2?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 16. Let m(u) = -4. Let w(o) = 4*m(o) - y(o). Let q(n) be the second derivative of n**3\/6 - 9*n. Give q(w(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -935, -1426, -1915, -2402, -2887?\n\"Answer: o**2 - 494*o - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2787878 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2)*11\/33 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104185 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 379456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + z + 135 - 105 = 0, 2*z = 5*l - 35. Solve -3*m + 2*v = -13 + 6, l*m - v = 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 209 + -221.9. Let j = h + 12.7. Which is the second smallest value? (a) 0.9 (b) j (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 81, 157, 243, 345, 469?\n\"Answer: r**3 - r**2 + 72*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231837097.\nAnswer: 233, 995009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1597127.09 rounded to the nearest 10000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkktk. What is prob of sequence tk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.64 + -11. Let u = 0.76 + x. Let v = -2 - 1. Which is the second biggest value? (a) u (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -97972, -391881, -881730, -1567519, -2449248, -3526917?\n\"Answer: -97970*d**2 + d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336969383 to the nearest integer?\nAnswer: 18357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 1873*j**5\/20 - j**4\/12 - 188*j**3 + 268*j. Find the third derivative of u(t) wrt t.\nAnswer: 11238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*(z\/(z*z\/z**(1\/2)))\/z)\/z*z))**(7\/6)*(z*z*z*(z\/z**(4\/7))\/z)**(-46) assuming z is positive.\nAnswer: z**(-3079\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 8*u - 11*u + 31, 3*o = 4*u - 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/13 + 7528*a**4\/13 - 22562*a**3\/13 - 15068*a**2\/13 + 90280*a\/13 - 60176\/13 = 0. What is a?\nAnswer: -2, 1, 2, 3761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h. Let o(r) = -28*r + 24. Give o(d(p)).\nAnswer: -140*p + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188213501?\nAnswer: 7, 191, 140773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, 4, 8.\nAnswer: -177, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from eehheh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -163*s - 29. Let q be 8\/(-5)*(4 + 6). Is d(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 4*o - 4, 0 = -3*o + 21*k - 17*k - 19 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 470233323 and 2009.\nAnswer: 470235332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/43))\/w*w)\/w**17*(((w\/(w**(3\/4)*w)*w)\/w)\/w)**(-5\/14) assuming w is positive.\nAnswer: w**(-5273\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157*o**2 - 1 + 0 + 73*o**2 to the form l*o + k*o**2 + z and give k.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(-1*sqrt(3)) + -4.\nAnswer: -sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 - 2) + 370\/75 and -56\/219.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from ptfopjat?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1797 + 0.0203. Sort i, 2\/9, -2\/71, 3\/8 in descending order.\nAnswer: 3\/8, 2\/9, i, -2\/71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-100)\/16))\/(2\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*((-35)\/(-30) - (-1)\/(-6)). Put 0, -2, -5, b in descending order.\nAnswer: 0, -2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**6\/480 + v**5\/48 + 7*v**4\/96 + v**3\/8 - 2*v**2 + 12. Let d(r) be the second derivative of i(r). Factor d(c).\nAnswer: (c + 1)**2*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-10)\/(-72) - 4\/(-36)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108 - 152. Let z = 89 + p. What is the greatest common factor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -422*u - 43. Let o(q) = 420*q + 49. Give -8*o(s) - 9*w(s).\nAnswer: 438*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1232\/792*100\/70*6*60\/(-8).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5578541?\nAnswer: 71, 78571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 2*t**2 + t + 12. Does 3 divide m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1438\/73 - 68527\/3942. Find the common denominator of j and 41\/240.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12 - 10)\/((-2)\/(-10)). Suppose h + u*h = h. Solve h*t = -3*t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/(36 + (1540\/(-315) - 31)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - -8)*-2 - (-3 - 2). Solve -r = n - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(156) - sqrt(156)*-1))\/(sqrt(144)\/(sqrt(12)*1)) + 2)**2.\nAnswer: 48*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -17. Suppose b + 3*p + 11 = 7*p, 0 = -2*p. Let a = x - b. Round a to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 9:29 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -16*z - 64. Does 10 divide v(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -157, -167, -175, -175, -161, -127, -67?\n\"Answer: n**3 - 5*n**2 - 2*n - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 394 (b) -0.1 (c) 0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*h = 16, 0 = -5*v + 3*h + 37 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 8:52 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*f**2 - 20287090*f - 4508240.\nAnswer: -5*(f + 450824)*(9*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -2\/3 (b) 1 (c) 0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:17 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*2\/16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/10)\/(177\/1475)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 15 = -2*h + 2*w, -4*h = -3*w - 20. Suppose -h*z = -5*a + 505, -a - 388 = -5*a - 4*z. Suppose g = 4*g - a. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 26378372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:07 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from kbppppppppp?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3 + -2 + 224\/288\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 276.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 + 98. Suppose m*h + 371 = 11*h. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 6894 = -1350. Suppose -36*a = -39*a + n. What is the highest common divisor of a and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(704))\/sqrt(4) + -2 - (-4 + sqrt(121)\/(sqrt(66)\/sqrt(6)) + 2).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 5*w + 2. Let s be v(7). Suppose 0 = -3*l + 4*r + s + 4, 3*l - 40 = -r. What is the greatest common divisor of 36 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 2562149.7.\nAnswer: 2562149.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + 19 + 0*i - 113.\nAnswer: 4*i - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (0 + 7) - 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2200431 - -4?\nAnswer: -2200426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 133*j**2*t**2 + 322081*j**2 + 8099964*t**2 - 4*t - 1 wrt j.\nAnswer: 266*j*t**2 + 644162*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497622?\nAnswer: 2, 3, 197, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 35. Suppose -3*c - 4695 = -0*c. What is the remainder when c\/(-30) + 1\/(-6) is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + (-159)\/(-35))*5\/(-2). Factor 8\/7*n - f - 2\/7*n**2.\nAnswer: -2*(n - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*d - 27. Let y(x) = x**2 + 11*x + 11. Let f be y(-9). Let p = 10 + f. Which is greater: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -504 - 8*f - 471 - 492 + 118 + 2*f.\nAnswer: -6*f - 1349","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -673.49 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 2*c - 2. Suppose -4*n = 1252 - 1292. Let q be 16\/n - 12\/40*2. Let r(d) = -d. What is q*p(i) - r(i)?\nAnswer: 2*i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 194662.57 rounded to the nearest one hundred?\nAnswer: 194700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 610168 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 370*x**3 + 468*x**2 wrt x?\nAnswer: 2220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 860?\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 + -50. Let w(g) = -g**3 + 6*g**2 + 9*g - 8. Let y be w(j). Let c = y + 67. Solve 13 = -i + c*v, -2*i + v + 2*v = 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 - -112. Let p(w) = 2*w**3 - 3*w**2 - 2*w + 9. Let x be p(f). Let c = 220 + -70. What is the highest common factor of c and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -113 - 15*c + 38*c - 8*c - 6*c. Calculate the least common multiple of 5 and f(15).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1564790 and -65\/116188?\nAnswer: 97016980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143468 and 9920?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 10*v + 10. Let m = -25 - -16. What is the tens digit of c(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-179)\/(-1074)*(1 + (-1)\/(-3))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/2*(-12)\/9. Suppose -w*d + 3*d - 3*f = 27, 3*f = -15. Let x = 12539 - 12526. Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 6*u - 3*u - 11, 2*b = u - 7. Solve 2*g + u*h + 10 = 0, h + 2 = -0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 250?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-39) - 2*((-770)\/84 - -9)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18800 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/8 (b) -6 (c) 3\/25 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13174 - -13621. Is t <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**2 + 309*j**3 - j**4 - 309*j**3 + (-4*j**3 + 2*j**3 + 4*j**3)*(2*j + 2 - 2).\nAnswer: 3*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 6805305.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 + 1 - (10 - -2)) - (-126 + 96).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -12*q + 6. Let m(g) = -4*g + 2. Let p(b) = 10*m(b) - 3*y(b). Determine p(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/5 - -2)*(-40)\/(-4). Suppose -f - v - 13 = -3*f, -2*f - l*v - 12 = 0. Solve -3*r - 10 = -r - 3*b, 2*r + f*b - 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4738 + -b4?\nAnswer: 4644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20.16433*-0.2\nAnswer: -4.032866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/154 + (-604036)\/(-22). Suppose -8*j = -37832 - z. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s = -32*s + 51. Let a(h) = -h**3 + 8*h**2 - 8*h + 10. Let j be a(7). Solve m + s - j = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + 1.22. Suppose 2*h + 14 = 3*w + h, 4*w = -3*h + 10. Sort w, z, -4 in decreasing order.\nAnswer: w, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqkkqqkkkkkqkqkkqkk. Give prob of sequence qqqq.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -40, 1.\nAnswer: -40, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2421, -2422, -2423, -2424, -2425?\n\"Answer: -y - 2420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21298, 42131, 62496, 82393, 101822?\n\"Answer: -234*i**2 + 21535*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 91b (base 12) to base 6\nAnswer: 10035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -24*n + 35. Calculate the remainder when c(-7) is divided by 78.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-550 - -372) + 82 + 14?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1035 by -2.\nAnswer: 1035\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -12 - -11 - 25 - -3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8422?\nAnswer: 2, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 351245 and 1264482?\nAnswer: 6322410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/12 and 93\/727676.\nAnswer: 2183028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 - 2. Suppose -6*w - 5*i = -3*w - 9, -5*w = 4*i - 2. Give d(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87)\/((-56550)\/124) + 6\/(-26)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/8)\/(11\/88). Suppose -5*h = -3*h - p. Let y be h\/10 + 999998\/4. Round y to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/k**0*k)\/k))\/((k*k**(3\/8))\/k)*(k\/(k*k*k\/(((k\/(k**1\/k))\/k)\/k*k)))**(-10\/11))\/((k**2)**(2\/87))**(-6\/19) assuming k is positive.\nAnswer: k**(70681\/48488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33801.\nAnswer: 3, 19, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*66\/132?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-5)\/(-4) - 411\/(-137). What is the nearest to -1 in -122, -2, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 1, -1\/6, 1463.7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -561*g**4*t + 13*g**3*t**2 - g**2*t + 393*g**2 - 3*g*t + t**2 wrt g?\nAnswer: -13464*g*t + 78*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5491042, 5491093, 5491178, 5491297, 5491450, 5491637, 5491858?\n\"Answer: 17*d**2 + 5491025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.02 + -2. Let w = -3.62992 + 3.65. Let g = y - w. Round g to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3068525*h**3 - 3068543*h**3 + 9205610*h**3 - 3068544*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjqj when four letters picked without replacement from {j: 3, q: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 d when three letters picked without replacement from ddggggggddwggdw?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f = -6*f + 8*f + 90 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 161796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3 + -3 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10320222 + 21123?\nAnswer: 11002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 2*b + 1 + 5*b)*(4*b - 2*b - 36 - 234).\nAnswer: -2*b**2 + 272*b - 270","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9341 less than -473?\nAnswer: 8868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c**3 + 41*c**2 - c - 28. Let w(h) = 5*h**3 + 20*h**2 - h - 16. What is -4*q(s) + 7*w(s)?\nAnswer: -s**3 - 24*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 135*w**2.\nAnswer: -5*w**2*(w - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*a + 25 = -0*m, 4*m + a = 32. Let x = -840587 - -840646. Calculate the remainder when x is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**4\/6 + 3*h**3\/2 + 3*h**2\/2 + 3*h - 16. Let p be t(-7). What is the greatest common divisor of 38 and p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118070*w + 118207*w + 2781 - 175 = -11231 for w.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*i, -3*i + 8*i - 311 = -4*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -2*m**5 + 15*m**2\/2 + 16. What is the second derivative of v(r) wrt r?\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. Suppose 6 = l + o. Solve -y - l = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 7. Solve -5 - 3*u**i + 2 + 3*u + 3*u**4 - u**2 - u**4 + 2 = 0 for u.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 3*m - 5, -427*z + 9 = -428*z - 4*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -34, -36, -48, -76, -126, -204, -316?\n\"Answer: -k**3 + k**2 + 2*k - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 3. Let w be c(4). Suppose w = -4*f + 5. Let i be (f + -2 + -1)*-1. Solve 0 = -3*y - 3*a + 15, 0 = y + a - i*a - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-8)\/(-288)*(-7 + 1). Is -2670 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - j**2 + 5*j - 2. List the prime factors of o(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 2 - 1459*o**2 - 740*o**2.\nAnswer: -2199*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 5*k + 7. Suppose 6 = -8*j - 18. Give v(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10012011020 (base 3) to base 9\nAnswer: 105136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let c(n) = n. Let m = -7 - -11. Let x(v) = m*c(v) - 3*y(v). Let b(s) = -4*s**2 + 5*s**2 + s**2. Give b(x(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 67. Let v = 22 - t. Let j be (-95)\/(-4) - 3\/(-12). Calculate the greatest common divisor of v and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-15) - (-10)\/(-25). Let g be (-1)\/(2\/2)*d. What is the tens digit of 0 - g - (-50 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 6, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968536519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20610.\nAnswer: 2, 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g**2 + g - 2. Let i(k) = k**2 - k - 1. Let w(d) = i(d) - j(d). Let m = 4 - 3. What is the units digit of w(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 3*u + u)*(53456 - 517*u - 53456 + (-3 + 5 + 4)*(-3*u + 0*u + u)).\nAnswer: -1058*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 776286 <= 776235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, a: 5}. Give prob of picking 2 a.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = 2*n, 0 = -2*n. Suppose -9 = -q - 5*k, v = q - k + 6 + 3. Let f be (-8)\/q*(-9)\/(-6). Solve 0 = -c - 3*o + 8, 2 + 2 = -3*c - f*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 266971273 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 22 = 3*u - 6, 4*m - 19 = u. Suppose -m*s = -2*i + 211, 3*i - 2*i = -s + 109. Let f(c) = i*c - 1 + 1 - 103*c. Let w(v) = 2*v. Determine w(f(z)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 1350 and -3271.4586584.\nAnswer: -1921.4586584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 3, g: 6, s: 6, e: 1}. What is prob of picking 2 c?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkrrdjdjdvvydr. What is prob of sequence jyj?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/3 + 11337968*h\/3.\nAnswer: -4*h*(h - 2834492)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259197056*d - 963*d**3 + 259197056*d.\nAnswer: -963*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*n + 61927 = 65953 for n.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.289 - -2.3. Let z = 26.789 + y. Round z to 0 decimal places.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**2 - 43*x**4 + 8*x - 3*x**2 + x - 4*x wrt x?\nAnswer: -1032*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1415906138 to the nearest integer?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4222162 decades?\nAnswer: 0.004222162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*v + 19, 4*a = -0*a + 3*v. Solve -a*z + 3 = -12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, t: 5, u: 3}. Give prob of picking 3 t.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k + 3. Let f(a) be the second derivative of a**3\/6 - a**2\/2 + 113*a. What is 5*f(z) + 2*i(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 9, -4, -72, -5, -29, -10 in increasing order.\nAnswer: -72, -29, -11, -10, -5, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a day in hours?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203 - 6*x**3 - 4*x**3 - 828*x + 828*x.\nAnswer: -10*x**3 - 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 0*p = -648. Suppose 2*j - 66 = p. Suppose -5*b + j = i - 81, 5*i = -5*b + 180. What is the lowest common multiple of 9 and b?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(170) - (sqrt(170)*-3*-4 - sqrt(170))) + sqrt(170)))\/(-3*(3*sqrt(250) + sqrt(250) - sqrt(250))).\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 308995793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 98*p + 1375. Let m be i(17). Put 1, 0, m, 4, -13 in decreasing order.\nAnswer: 4, 1, 0, m, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16885 plus 4.1?\nAnswer: -16880.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301713 is divided by 15000.\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 at least as big as 265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 - 117 = -2*k. What is the closest to -0.1 in -0.2, -3\/19, k?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188608 divided by -4\nAnswer: -47152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((13 - 4*h - 13)*(-3*h**3 - h**4 + 3*h**3) + 0*h**5 + 0*h**5 + 2*h**5)*((3 - 1 - 1)*(4 - 3 + 2) + 3 - 5 + 3).\nAnswer: 24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 13*b**2 + 16*b**3 + 8*b - 30*b**2 + 83*b**4 - 63*b**4.\nAnswer: 4*b*(b - 1)*(b + 2)*(5*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2377660 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23, 48, 97, 182, 315, 508?\n\"Answer: 2*m**3 + 11*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 1, i: 2, o: 3}. Give prob of sequence os.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -39*p + 18. Let k be i(0). Solve -z = -k + 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42120962.8 * 3\nAnswer: 126362888.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8369\/36 + -931\/4. Let y = 2473 - 2502. Find the common denominator of c and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-990)\/(-18)*(-2)\/(-10)*-2)\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*j - 6. Solve 0 = -j*p + 6 + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 240 + 120. Let z be 46\/f - (-1)\/4. Is 0 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45214 (base 7) to base 15\nAnswer: -35bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*5\/5)\/(3*(-1)\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 8*k**2 - 4*k - 17. Let r be j(7). Solve r*o = -d + 6*d - 3, -2*d - o = 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 4*h - 20 + 4*h - 5*h - 17 in the form p*h + y and give y.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37.8 + -18.24. Let u = 0.44 + i. Which is greater: u or 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1639363 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 3\/2548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 34 + 24 = 0. Let t(r) = -11*r**v + 19 - 14 - 5. Let h(a) = -17*a - 9. Let y(d) = -4*d - 2. Let m(k) = -2*h(k) + 9*y(k). Give m(t(j)).\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 788128447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29 (b) -0.5 (c) -0.3 (d) 3\/5 (e) 5 (f) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150690 is divided by 5219?\nAnswer: 4558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -571641 + 36\nAnswer: -571605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001428479 to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {w: 2, a: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7181*u**2 + 16295*u**2 - 8939*u**2.\nAnswer: 175*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, t: 3, w: 4, y: 1, e: 2, a: 3}. Give prob of picking 1 a and 1 y.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121 by -446.\nAnswer: 121\/446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 17 = 5*b, 2*r + 4*b + 9 = -1. Let f be (r + 1)\/(2 + -3). What is the tens digit of (-3)\/f*(0 - -14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4689 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 4.8. Suppose -4*w = -2*j - 6, 2*j = -5*w - 2*j + 14. Let r be 11\/(-4) - ((-27)\/(-12) - w). What is the smallest value in -2, r, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*b - v - 6, 3*v = 3*b + 12. Put 1, b, 2, -4 in ascending order.\nAnswer: -4, b, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15080.\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(0*a + 0*a - a) + 4*a + 0*a + a + (-3 + 3 - 3)*(2*a - 2*a + a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s**2 + s + 1. What is t(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + a**2 + a + 10. Let z be c(0). Suppose -66 = 3*l - 25*l. Suppose l*k + 2*k = z. Solve k*u - 3*u = 1, -3*w + 3*u = -9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 11*s**3 + 17*s**2 - 23*s + 13. Let j(z) = 5*z**3 + 8*z**2 - 11*z + 6. Let b(x) = 6*c(x) - 13*j(x). Does 10 divide b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-10) - (-173)\/2. Suppose -u - s = -3*g, g - 3*g + 79 = -5*u. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 5*i - 3*i)*(42095 - 1716*i - 42095).\nAnswer: 1716*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -5, -44, -4, 93 in decreasing order.\nAnswer: 93, 5, 3, -4, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3 - 4809*g**2 - 9621*g - 4811 = 0.\nAnswer: -1, 4811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 9*r**2 + 4*r + 9. Suppose -b - 3*l = 23, -16*l + 15*l + 19 = -3*b. Give g(b).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 2*o - o)*(6*o - 52062*o**3 - o**2 + 104203*o**3 - 52089*o**3) to b*o + f*o**2 + q*o**4 + c + s*o**3 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**5\/60 - k**2\/2 + 3*k. Let b(h) be the first derivative of g(h). Let f(y) = -4*y. Give b(f(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -309, -1263, -2861, -5109, -8013, -11579, -15813?\n\"Answer: -z**3 - 316*z**2 + z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offoofffof. Give prob of sequence fo.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y + 25. Let d(i) = -74*i + 142*i - 58*i. Let u be d(-1). Let g be k(u). Let w(t) = -t**2 - 5*t + 2. What is w(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 10:25 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.57 + 34.2. Let h = g - 4.93. Which is the biggest value? (a) -0.19 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 16*l**2 + 11*l - 3. What is v(-17)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1420*g**2 - 2547*g - 8. Determine l(2).\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 12*w**2 - 11*w + 2. Suppose 4*b - 3*b - 11 = 0. Let i be y(b). Suppose 7*j - 355 = i*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-20) + (-154)\/(-8). Let f = 6649 - 6614. Calculate the greatest common divisor of f and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2351461 and 57\/191956?\nAnswer: 9405844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/5 + 3\/5*f**2 + 6*f.\nAnswer: 3*(f + 1)*(f + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/994 and -33\/406.\nAnswer: 28826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight fifteenths of a decade?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 393516*c**3 + 15*c**2 - 2*c + 16. Let a be i(6). Round a to the nearest one million.\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 6:52 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1709*j + 1146*j - 51390 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 e when four letters picked without replacement from {f: 7, e: 4}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 1316 = -14*o. Suppose -10*m = -307 + o. Solve b + 27 = m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20122201110200 (base 3) to base 11\nAnswer: -1aa6814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21036402?\nAnswer: 2, 3, 389563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-1 + 17\/16). Suppose -a = 22 - 1. Let x = s - a. Solve -x*l + 15 = -0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 3097.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 133.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.99 take away -0.13148?\nAnswer: -2.85852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 13. Let t = -1 - -0.7. Sort -4, t, w in descending order.\nAnswer: t, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -46*z. Let g(k) = 5*k - 47966. Calculate l(g(s)).\nAnswer: -230*s + 2206436","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/(-110)*(-6)\/36?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 0.21202790179?\nAnswer: 3.21202790179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y - 1. What is the tens digit of j(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5916521 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**2. Let f(w) = 5*w**2 - 191*w. What is f(c(s))?\nAnswer: 180*s**4 + 1146*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**4\/8 + i**2. Let k(y) be the third derivative of -y**5\/12 - 1018*y**2. Calculate k(s(v)).\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 8:03 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w - 63. Let l(h) = -4*h - 63. Calculate -6*d(v) + 5*l(v).\nAnswer: -2*v + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f. Let i(v) be the first derivative of -35 + 9 + v**2 + 12 + 12. Determine i(a(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 + 3*i**4 + 18*i**4 - i**3 + 2*i**3 - 35 to u*i**4 + m*i**2 + x*i + z + v*i**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 108461783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 2. Let y = -28 - -9. Let q be y\/4 + (-1)\/4. Is v(q) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 3. Let y = g + 3. Let k = y + 1. Which is greater: 0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**6\/3 + 101*n**5\/4 - 265*n**4\/12 - 505*n**3\/6 + 255*n**2\/2 - n + 7412. Suppose r(i) = 0. What is i?\nAnswer: -51, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59975 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**4\/24 + w**3 - 235*w**2. Let t(r) = 5*r + 23. Calculate -9*m(y) + 2*t(y).\nAnswer: y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 13194958390\nAnswer: 13194958389.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 1. Let l be k(-4). Solve l*n + 8 = 28, -5*n = z - 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 22*q + 134. Calculate the remainder when 168 is divided by w(15).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5757.\nAnswer: 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 6:46 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 1056 = -2*s. Let c be ((-1)\/4 + 1)\/(s\/(-128)). What is the biggest value in c, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 + -4. Let r = x + 65. Is r a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -393 divided by -1.\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**2\/7 + 4808*l\/7 + 26109\/7 = 0. What is l?\nAnswer: -27\/5, 967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59899 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 91, -1, 3, 2, 1, -62.\nAnswer: -62, -5, -1, 1, 2, 3, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (86*m + 46*m + 38*m)*(-3 + 5 - 1)*(10*m**2 + m**2 - 23*m**2) to the form r*m**3 + y*m + x*m**2 + t and give r.\nAnswer: -2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 at most 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1647, -1913, -2357, -2979, -3779?\n\"Answer: -89*c**2 + c - 1559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56659 + 81350. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111\/4 + 28. What is the third biggest value in a, 0.1, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 920015 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -23.9.\nAnswer: -71.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Let m(c) = c**2 + 16*c. Let n be m(-16). Let w(z) be the second derivative of 0*z**2 + 8*z + 0 + n*z**3 - 2\/3*z**4. Determine b(w(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-8 - -26 - 13). Solve -3*j - 9 = x, -3*j = p - 23 + 31 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x. Let f(z) = -5*z - 4*z - z**3 + z + 2 + 9*z**2. Let n be f(8). Let k(y) = 6*y - 6*y + y**n. Calculate k(c(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 543898?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 33 in increasing order.\nAnswer: 4, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 533 = -2*p - p, 2*u + 3*p - 1066 = 0. List the prime factors of u.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 11588034?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/15 + 1 + 22510\/75. What is the highest common factor of 86 and z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 3 - (8 - (1 - -4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105613047 is divided by 184.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.489 - -0.211. Which is the nearest to -1? (a) t (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (0 - (-2 + 3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + 7 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5\/2 - 70875*a**4\/2 + 141735*a**3 - 212595*a**2 + 283455*a\/2 - 70863\/2.\nAnswer: 3*(a - 23621)*(a - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 5*y - y + 0 + 0 - 2*y + (y + 3*y - 5*y)*(2 + 0 - 1) + 184*y + 7 - 6 - 2 as u + t*y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5774 + -115357\/20. What is the common denominator of ((-1)\/(-2))\/((-99)\/(-873)) and i?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -973, -3985, -8999, -16009, -25009, -35993, -48955?\nAnswer: -63889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (81*r - 2*r**2 - 81*r)*(7*r + 11*r - 12*r)*(-16 + 5 - 8) to z + u*r + o*r**3 + x*r**2 and give o.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + f + 240. Let h be q(-28). Let l = h + -787. What is the highest common factor of 22 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1292 + 1956. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237228809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94942 + -63875. Does 34 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dea3 (base 16) to base 14.\nAnswer: -16ab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11926, 4\/5, -0.6, 0.1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p**2 + 10*p + 4. Let j be a(-2). Let y = -2 + 39. Suppose -4*t + 11 = -y. Solve 4 = j*l + t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffbjbwfvwwbbwwfwwfb. What is prob of picking 2 w, 1 b, and 1 j?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - n. Let r be h(1). Let d = -8 + r. What is the units digit of ((-18)\/d)\/((-4)\/(-16))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-85)\/(-10) + 9\/6. Let u be l\/6*(-12)\/(-2). What is the highest common divisor of 90 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 163031 (base 12) to base 11\nAnswer: 239393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.3108 + 4.3. What is s rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Let s = -0.1 - 5.9. Let x = 5.7 + s. Which is the smallest value? (a) 2 (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(((o\/o**(-2\/11))\/o)\/o))\/o)\/o*o)**(27\/4))**(-2\/97) assuming o is positive.\nAnswer: o**(-243\/2134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 15*s. Let r(j) = -41*j - 1. Give r(l(u)).\nAnswer: -615*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 91206 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.8972nm in kilometers?\nAnswer: 0.0000000001468972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 82773916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b - 13998 + 2256. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57741 + -96832. Let r = n + 72091. What is r rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -204.0182 + 0.0182. Let f = s + 206. What is the nearest to 12 in -0.3, 3, -1, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 72 = -61. Let k be (32\/f)\/8 - (-31)\/7. Solve -3*q + 2 = u - 1, k*u = -15 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - r**2 + 2*r - 2. Let g(n) = 2082*n**3 - 4*n**2 + 8*n - 10. Give -g(i) + 4*q(i).\nAnswer: -2086*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -31) + -1 + -1. Suppose 0*z - 3*z + 2*x + 23 = 0, r = 2*z + x. Suppose -f - 4*f - 2*n + 22 = 0, -4*f + 5*n + z = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -380 smaller than -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 48 + 44 = 0. Let o = r + 117\/5. Let s = -0.3 - -0.2. Which is the third biggest value? (a) 1\/6 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65*42\/3822 + 1 + -5*113\/(-7).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5084, -10169, -15254, -20339, -25424?\nAnswer: -30509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 61, 67, 77, 91, 109, 131?\n\"Answer: 2*v**2 + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose -2*j = g*k - 15, j + 0*k = -2*k + 8. Differentiate j - 4 - 5 + d**2 wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 15. Let h = s + 17. What is the units digit of h\/((-4 + 1)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -526780*h**3*p**2 + 9*h**3 - 66474*h**2*p - 2*h*p**2 - 154 wrt h.\nAnswer: -3160680*p**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2964?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxjqrrrrxnrnj. Give prob of picking 1 n, 2 x, and 1 q.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 39*g - 668. Let r be d(45). Which is smaller: 1629 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1302130133 (base 4) to base 13\nAnswer: 1354a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 185*w**2 - 3 - 2*w**4 + 187*w**2 - 2*w - w**4 - 375*w**2 as i + u*w + j*w**2 + f*w**3 + z*w**4 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 2. Suppose -8 = 9*q + 10. Let v be (q\/(-5))\/(63\/(-30) - -2). Let n(j) = -j**2 - 2. Determine v*n(x) - 3*s(x).\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 48. Let c = q - 58. Let f = 245\/3 + c. What is the nearest to -1 in f, 4, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 14*l - 7. Suppose -14 = 2*a - 62. What is the closest to a in 2, l, -3\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (1 + 36\/(-21)). Let g = 1 + -1.4. Which is the third biggest value? (a) t (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -30, -2\/11, 2 in ascending order.\nAnswer: -30, -4, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33101 is divided by 344?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*q - 5, 0*q + 15 = q + 3*g. Suppose 2*d = 4*d + 10. What is the third biggest value in q, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10203130 (base 4) in base 16?\nAnswer: -48dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 19*n + 59. Suppose -5*l + 35 = -g, 0 = 6*g - 4*l + 152 - 46. Determine k(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.23 (b) 3 (c) -10 (d) 1\/7 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 35 (b) -4 (c) -280 (d) 48 (e) 0.2 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k*l**4*q + 14*k*l**3 + 2*k*l**2 - 2*k*q - 13*l**2*q wrt l.\nAnswer: 72*k*l*q + 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 10*a**2 + 12*a + 29. Let c be n(-9). Let w be 2\/(-5) - 24\/(-10). Let m(d) = 3*d**2 + 4*d + 2 - 3*d**c + d**w. Give m(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/5 - 6582*d**2\/5 - 11380608*d\/5 - 1786217184\/5.\nAnswer: -(d + 174)*(d + 3204)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 2083.\nAnswer: -10415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10477465 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 g(h) = 9*h**2 + 3*h**2 + h**3 - 5*h - 2 - 11*h**2. Let n(y) = y**2 - 12*y - 9. Let i be n(13). Suppose 0 = -0*z - z - 2*m + 3, i*m = -4*z. What is g(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3522 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: Expand (-2*y**2 + 6*y**2 + y**2)*(89*y - 26*y - 20*y + (-4 - y + 4)*(5 + 0 - 4) + 2*y - 7*y + 3*y) + (2*y**3 - 2*y**3 - y**3)*(-5 + 3 + 0) + 2*y + 2*y**3 - 2*y.\nAnswer: 204*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 14 = 52*o - 50*o, -100*o - 3*q - 570 = -28*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 b when four letters picked without replacement from bmhmmmmbhhhbhmb.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + d. Let t(y) = 2*y**2 + 13*y - 15*y + y + 3. Give -t(f) - z(f).\nAnswer: -f**3 - 2*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*(t*t*t**(2\/35)*t)\/t))\/t)\/t)**34 assuming t is positive.\nAnswer: t**(-4828\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77.3 + 80.3. Let l = -3 - -3.2. Let x = l + -0.1. Which is the biggest value? (a) 6 (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 140*u**3 + 3*u**2 + 6*u - 17. List the prime factors of s(3).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 8. Let n = l - 3. Which is the biggest value? (a) n (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*n**5 - 31*n**5 - 17*n**5)*(3 - 1 - 4) + (n**2 + 4*n**2 - 6*n**2)*(n**3 + 2*n - 2*n).\nAnswer: 69*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 3, 1372 in ascending order.\nAnswer: -3, 3, 4, 1372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 r when three letters picked without replacement from rrrdrrrdrrrrrrrrrrrr.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 1 + 14. Let q(g) be the first derivative of -7*g**2\/2 + 18. Let t(h) = -4*h. Give f*q(j) - 5*t(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -311 + 315. Solve -9*c = -q*c + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.5 - 0.5. Let n = q - -3. Let h = 0.08 - -2.92. Which is the third smallest value? (a) 1 (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q - 10. Let s(l) = -l**2 + 2*l**2 - 6*l + q + 8*l - 6. What is the tens digit of s(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 11*l**2. Let p be m(-11). Suppose -f + 39 + 21 = p. Calculate the highest common divisor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.9 - 6.6. Let g = b + 1.2. Let x = -5.5 - g. Sort x, -3, 0.5.\nAnswer: x, -3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 28*g**2 - 23*g - 159. Let y be n(29). Let i = y + 2480. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1529, 1531, 1533, 1535?\n\"Answer: 2*q + 1527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34412.\nAnswer: 2, 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w**2 - 2. Let d(k) = 19*k**2 - 3. Let s(z) = 3*d(z) - 7*q(z). Differentiate s(o) wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*n**2 - 8*n - 2*n**2 - 3*n**2 wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2393\/(6130\/12 - 3). Let r = 21\/277 - h. Calculate the common denominator of 47\/9 and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*t - 54*t - 18 = 0. Let f(h) = t + 3937*h - 1 - 3936*h. Let n(a) = -a - 1. Determine -f(x) - 2*n(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2)\/(f**3*f*f))\/(f**(-1\/3)*f)**(-9\/4) assuming f is positive.\nAnswer: f**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -100011110111101101110010?\nAnswer: 100011110111101101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75313*s - 5 + 3 - 53375*s + 1)*(-2*s + 4*s - s).\nAnswer: 21938*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(0 + sqrt(2)) - (sqrt(8) + 1)) + -5 + sqrt(32) + -2 + 3 + sqrt(288) + (sqrt(288) - (0 + sqrt(288))) + 2)**2.\nAnswer: -72*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 21 + 49)*(0*o**2 + o**2 + 0*o**2).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.0961\nAnswer: -0.1922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - 50. Let h = k + 104.7. Let y = h - 4.6908. What is y rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5719648 and 88.\nAnswer: 5719648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 6. Let k be h(6). Suppose 5*p = 6*p - 4. Solve p*o + o - 10 = k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -0.2, -1\/6, 0.1 in decreasing order.\nAnswer: 5, 4, 0.1, -1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.0604 times -0.014\nAnswer: 0.0148456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 2:46 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 976464, 1952927, 2929390?\n\"Answer: 976463*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u + 66. Let s be i(21). Is s less than 70\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545438438 to the power of 1\/2, to the nearest integer?\nAnswer: 23355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -301.019?\nAnswer: 60.2038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -370, -361, -338, -295, -226?\n\"Answer: g**3 + g**2 - g - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*((y\/y**2)\/y)\/y*y*y))**(-1))**(31\/5) assuming y is positive.\nAnswer: y**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + sqrt(288) + 4*sqrt(288) + 0 - (3 + sqrt(288) + sqrt(288))*-2 - (-2*(sqrt(288) + 1) + 1 + sqrt(288) + -4))**2.\nAnswer: 2904*sqrt(2) + 34969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6030 and 22110.\nAnswer: 66330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22\/7 in -1, 11, 1, -0.064, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2162\/(-141))\/(6\/3)*3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 0 + 1\/24*z**4 - 1\/15*z**5 - 9*z**2 - 1\/6*z**3 + 0*z. Let l(i) = 3*i**2 - i + 1. Calculate -3*l(u) - 2*r(u).\nAnswer: -u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*u + 3489 = 20259 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q**3 + 3*q**2 - q**2 - 22*q**3 - 7*q**3.\nAnswer: -47*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**3\/5 - 24824*b**2\/5 + 77522952*b\/5 - 612265536 = 0.\nAnswer: 40, 6186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 4. Let n be o(6). Suppose 2*i + 7 = 3*m + i, i = -n*m + 8. Suppose r = -m*r + 4400. Round r to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*l - 32. Let p(t) = 23*t**2 - 8*t + 17. Let r(q) = -15*q**2 + 5*q - 11. What is l*p(i) - 8*r(i)?\nAnswer: 5*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1\/2, 13, -46\/87, 0.3 in decreasing order.\nAnswer: 13, 1\/2, 0.3, -46\/87, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2903?\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = 0. Suppose -9 = -2*i - 3*k + 1, a = 4*i + 3*k - 8. Let p(l) = 10*l**2 - l. What is p(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.154012 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5.117 (b) -2\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44069 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 642 and 2147128554.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/24)\/(115\/(-138)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 0*j + j)*(6023 - 277*j**2 + 47*j**3 + 275*j**2 - 49*j**3) as t*j + y*j**3 + x*j**2 + b + q*j**4 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**3 + 9*t**2 + 5*t - 6. Let d be p(-6). Let k be 6\/d*-9 - (-4)\/(-10). Is k less than or equal to -115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255, -178, -89, 18, 149, 310, 507?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 + 9*m**3 - 6*m**3 - 31.\nAnswer: -3*m**3 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 3:09 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 take away -14025.19826385?\nAnswer: 14001.19826385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 49*n + 1675. Give x(-34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from zngtzumnnuzzng.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -31. Let i = -6 + 10. Suppose -5*x + i = 29. Which is the second biggest value? (a) x (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1441 is divided by 474?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 11, -2276192?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y + 150 = 0. Calculate the highest common factor of y and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*f - 43*f - 23*f to b + p*f and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1102145 is divided by 367363.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3612)\/540 - 4) + 10 and 48\/65.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*u - 364 = 0, -h + 3*u + 90 = 21. Let v = h - 19. What are the prime factors of v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0462742 and -0.04.\nAnswer: -0.001850968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 2141120434?\nAnswer: -2141120434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 6*v**2 - 8*v + 2. Let r be h(4). Let c(s) = s**2 - s. Let u(t) = 3*t**2 - 5*t + 1. Determine r*u(m) - 9*c(m).\nAnswer: -3*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2 - 46*u - 179. Calculate c(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 1. Suppose 5*f + 1 - 86 = 5*r, -76 = -5*f - w*r. Suppose 2*q - 49 = -45. Solve -f = q*o + 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*p - 107*p. Solve 7*c + 6*c - 39 = p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**3 + 2 + 6*m**3 - 1 + 1 to s*m**3 + z*m**2 + a + o*m and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67514 take away -4?\nAnswer: 67518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -7*y**2. Let p(j) = -4*j - 4. Let u(g) be the third derivative of -g**4\/3 - 7*g**3\/6 + 15*g**2. Let b(n) = -7*p(n) + 4*u(n). What is b(l(d))?\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10852 = -81*r + 25*r + 9844 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3106?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21203, 21565, 21927, 22289, 22651, 23013?\n\"Answer: 362*s + 20841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9 (base 15) to base 11.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1 + 1 - m + 3*m - m. Suppose 2*w = 6*w. Let s be l(w). Solve -v - 7 + 2 = 0, 0 = s*r - 4*v - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -58 and -3.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**4\/4 + q - 11. Let g(o) = -5*o**3 + 2. Suppose 8*d - h = 3*d + 12, -3*h = 6. Give d*m(l) - g(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/3)\/4)\/(36\/(-24)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7614233?\nAnswer: 11, 41, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1777 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45\/4 - -11. Let w = -2.5 - -2.6. What is the nearest to 1 in n, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**2 - 32*v + 4. Let y be h(-8). Let w(r) be the first derivative of -2*r + 0*r**3 + 2\/5*r**5 + r**y - 3 - 2*r**2. Solve w(a) = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4898264*t - 5557190 wrt t.\nAnswer: 4898264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23788, 20082, 13908, 5266, -5844, -19422?\n\"Answer: -1234*g**2 - 4*g + 25026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c = 40*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 134243527 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 value of (39\/65)\/((23\/(12880\/(-378)))\/((-3)\/(-14)))?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 88905, 0.1, -0.3 in descending order.\nAnswer: 88905, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2438 - 19.7562. Which is the third biggest value? (a) j (b) -9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 10*n - 13. Let k be b(9). Let q = k - -21. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((h\/(h*h**(2\/3)))\/h)\/h)\/h)**40\/(h*h\/h**(2\/7))**(-21))**(-3\/25))**(-42) assuming h is positive.\nAnswer: h**(-13944\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2667, 11913, 21161, 30411, 39663, 48917?\n\"Answer: p**2 + 9243*p - 6577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*m + 88 = 0, m - 1 = -2. Suppose -38*z - 12 = -f*z. Let q(c) = 33*c**3 + 2*c**2 + 4*c - 1. Let w be q(z). Round w to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59044530 divided by -5\nAnswer: -11808906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 305\/601836 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19671 - 3*z**3 - 9*z**3 + z**3 + 2*z**3 + 7*z**3.\nAnswer: -2*z**3 + 19671","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*l = 2*f - 26, 3*l = 15. Which is bigger: 7\/6 or f?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*h + 0*h - 1 = 0, 26 = 2*n - 5*h. Let d(w) = -w**3 + 3*w**2 - 2*w. Calculate d(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1549*a - 193. Let z be n(13). Suppose z = 5*m + 13*m. List the prime factors of m.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -128? (a) -2 (b) -0.1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 57*b - 6760. Calculate c(124).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -84 + 156 - 80 + 72*t**2 - 2*t**3 in the form i*t**3 + y*t**2 + x*t + k and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 39 - 27. Let q be (g - -4)\/(-2)*1. Let v be (-1 - q)*-39 + -2 + 1. What is the highest common factor of 342 and v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/2)\/(9\/30). What are the prime factors of c\/(-1)*3\/(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -11*y - 32. Suppose -11*t + 160 = -159. Calculate the remainder when x(-16) is divided by t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 2. Let m be j(-1). Let s(v) = 11*v + 1. Let r be s(m). Suppose z + 0*z = r. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49063, -48699, -48335, -47971, -47607?\nAnswer: -47243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11 (b) 3\/4 (c) -75 (d) -35 (e) 6 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzzpzzzmzpqsqz. Give prob of sequence mwq.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1244 + 1304. Solve 0 = -16*x + 28*x + y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5382714, 21530858, 48444432, 86123436, 134567870, 193777734?\n\"Answer: 5382715*z**2 - z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8863640.09999575 - 8863647. Let v = 134.9 + -128. Let i = v + l. Round i to 7 decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3270 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 131.2813281 and 75.356?\nAnswer: 55.9253281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*t + 1, -5 = -t - 3. Let f be 2\/4 - (2322\/(-12) - r). Which is smaller: 184 or f?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(2\/5))\/r**(1\/5))\/((r*r**2)\/r**3))**(1\/29) assuming r is positive.\nAnswer: r**(2\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 40*v + 248. Let o be j(-6). Suppose -o*a - 12*a = -60. Solve a*w + 0*w - 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -735 - -734.9. Which is greater: c or 3\/20?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 208 + -189. Suppose c*r + 0*r = 2660. Calculate the greatest common factor of 210 and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760494998?\nAnswer: 2, 380247499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -6, -1\/2 in decreasing order.\nAnswer: -1\/9, -1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -545*s + 15*s - 19610 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 16 = 3*y, y + 32 = -3*y + 4*v. Let h(u) = -5*u - 2. What are the prime factors of h(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116050 is divided by 509?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*w**3 + 573725*w**2 - 1075885*w - 143450 = 0. Calculate w.\nAnswer: -14345, -1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.1436679 grams in micrograms?\nAnswer: 143667.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*(sqrt(931) + -1)*2 - (-5 + sqrt(76)\/sqrt(4) + 3)*1))**2.\nAnswer: -130*sqrt(19) + 3236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10014, -10022, -10044, -10086, -10154?\nAnswer: -10254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 3*y**2 + 2*y + 10. Let n be k(-3). Let g be (-104)\/182*(5\/(-2) + -1). Solve -4*s - 5*r - 2 = 0, -6*s - n*r = -g*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 30574047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39224769*t**4 + 2699035*t**2?\nAnswer: 941394456*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 164069777967715\/29666 - 5530566234. Let x = w + 4\/2119. Calculate the common denominator of 21\/20 and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*a = -38*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*n = 136*n + 4*j + 32, 5*n + j = 17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43194211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -273 and 0.2.\nAnswer: -54.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238*x**4 + 27*x**3 + 77*x**2 + 5932136*x wrt x?\nAnswer: 2856*x**2 + 162*x + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113627153 to the power of 1\/3, to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - j - 3, -4*b - 18*j - 17 = -23*j. Suppose 3*c - b*z = 36949, 2*c - 24606 = -0*c - 4*z. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 3*v**2 - 408*v + 2237. Give f(6).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36\/11 - -202\/55. Let k = -766.8 + 781.8. What is the nearest to k in -1, f, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and (-130)\/(-6) + (-1)\/((-9)\/(-6)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 202, 2, -5.\nAnswer: -5, -2, 2, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 607549381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 490, 3585, 11884, 27991, 54510, 94045, 149200, 222579?\n\"Answer: 434*n**3 - 2*n**2 + 63*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 4\/3 (b) -0.3 (c) -0.01 (d) 0.0595 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*q + 4*a + 348, -3*q - 5*a + 1129 = 0. Let z be (-310)\/q - 2\/(-16). Let u = z - 980\/253. What is the common denominator of -39\/4 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1022047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 1, d: 2}. What is prob of picking 1 y and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-3) + 5)*5\/(-10). Let n = 5 + -3. Sort -5, c, n, 1 in decreasing order.\nAnswer: n, 1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:13 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*100\/(-75) + 12.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-2 + 2)) + -3. Let s be 0 + -2 + w - -4. Solve -s*l = 6, 5*z - l = -4*l + 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + r - 3305 = 0, r = -4*a + 3*r + 2644. Let h = a - 662. Is h greater than -11\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1693695?\nAnswer: 3, 5, 112913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 45 = 5*c + 5*g, 13 = 5*c - 3*g. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, b: 7}. Give prob of sequence bbb.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901900*r + 901844*r = 784 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 14*d + 1952. What is the common denominator of (2 + (-9)\/2)*d\/400 and 91\/76?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 1, p: 3}. Give prob of picking 2 p.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85725 by -85725.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2455 - 132501?\nAnswer: -130002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 4. Let i = l - -7.9. Let z = i + 0. Which is smaller: z or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 6*m**2 - 4*m - 5. Let q(l) = -3*l**3 + l**2. Let a be q(-1). Is h(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2791, -2, -975, -1.\nAnswer: -2791, -975, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m + 56. Let v(j) = 4*j - 28. Let k(q) = -3*n(q) - 5*v(q). Let u be k(8). What are the prime factors of (u\/8)\/7*58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.03 (b) 1\/31 (c) 1\/9 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3405, 14228, 32387, 57882, 90713, 130880, 178383?\n\"Answer: 3668*l**2 - 181*l - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16294938839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 269565 + -269565.09. Let d = -4 + 3. Which is the second biggest value? (a) d (b) w (c) 5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11440365 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6743088 divided by 7128\nAnswer: -946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 441 and -1439?\nAnswer: 1880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 12 = 0, 2*s + 5*i - 10*i = -14. Calculate the highest common divisor of 288 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**3\/2 + 3*l**2\/2 + 6*l. What is y(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q + 7. Suppose 0 = 2*n - 7*n + 55. Calculate the least common multiple of 16 and o(n).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*j = -3*f - 11, -2*j - 5*f - 17 = 0. Let r(c) = -8*c - 16. Let b(u) = -11*u - 17. Let z(y) = j*r(y) - 3*b(y). Let o(k) = -k. What is o(z(p))?\nAnswer: -p + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c + 3*n - 11, -c - 2*n = -9. Let j = 2 - c. Let x = -3 - -7. Solve j*b - 3 = x*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2238 = -534. Suppose 4*u - 1277 = -5*k + 5414, u - t = 5*k. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(2\/1)\/(-4). Let c be (-1 + o)\/(3\/6). Let y be (1\/c)\/(3\/(-3)). Which is greater: -0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*j + 11, 5*t + j + 1 = -2*j. Sort -154, 6, t in decreasing order.\nAnswer: 6, t, -154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6080306.\nAnswer: 2, 3040153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 12*g - 2. Suppose 36 = -4*z + z - m, -5*z = m + 60. Let j be y(z). Put j, -4, 2 in decreasing order.\nAnswer: 2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76476128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.422 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(-1*sqrt(550) + sqrt(550)))\/(sqrt(110)\/(-1*sqrt(11))))\/(sqrt(720)*3*-6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -486*x**3 - 4*x**2 - 54*x wrt x?\nAnswer: -2916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/11))**(10\/3)*x**(2\/27)*x*(x*x**(-12)*x)\/x assuming x is positive.\nAnswer: x**(-3488\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*c**2 + 0)*(2 + 1 - 1) + (-2*c + 2*c - 6*c**2)*(-2 - 3 + 3) to the form a*c + h*c**2 + y and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l - 19*l + 40*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 3, 0.5, 0.1, -36\/47 in descending order.\nAnswer: 3, 0.5, 0.1, -2\/19, -36\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23\/7, -1\/2, -3, 464, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**2 - 925*d - 60 + 925*d. Let y(w) = 19*w - 6. What is y(k(i))?\nAnswer: 38*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_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: Evaluate 14\/12*(-8)\/14.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -292367458*n**3 - 430*n**2 + 24*n + 161.\nAnswer: -1754204748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2\/9, -3, 37, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 81. Suppose 0 = -4*c - 4*x - z + 15, 1 = 3*c - 5*x. Suppose -c*i + 4*k = -3*i + 195, -k = 2*i - 383. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 8564989*o**2 + 3 + 8564929*o**2 to the form f*o**2 + g + m*o and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 - 2*g**3 + g**3 + g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(2\/3 + (-45)\/108). Suppose 0 = -m*v - 5*u + 18692, v - 2*u = 2*u + 4673. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 28 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -4*p**5\/15 - 7*p**4\/12 - 16*p**2. Find the second derivative of f(m) wrt m.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + f = -13, -3*g + 918*f - 921*f = -15 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/7? (a) -3\/2 (b) -0.03 (c) 5 (d) 694\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-40) + (2 - 156\/(-15)). Let b(k) = -16 + k**2 - o + 35 - 10. Let v(i) = -3*i. What is v(b(r))?\nAnswer: -3*r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-21) + 93\/(-7). Let p be ((-63)\/12)\/((-15)\/(-80)). Let w = d - p. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16083.67 times 4\nAnswer: -64334.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -851 + 2555\/3. What is the nearest to a in 26, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 2*p + 12, 6541*q + 37 = 6536*q - 3*p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3858002 (base 9) to base 4.\nAnswer: 20002000022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 50 = 15. Let j = m - -11. Suppose 0 = 3*g - y - 38 + 8, 4*g + 4*y = 40. Solve 2*v + 4*t = -v - 7, j*v + 5*t + g = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 1)*(4 + 1 - 4 + 5*h**2).\nAnswer: -25*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*f = -56, -113*p + 35 = -108*p + 5*f. Let s(w) = w - 1. Let a(i) = 15*i - 12. Let n = -3 + 2. Calculate n*a(v) + p*s(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -98\/471 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(153) - sqrt(34)\/(sqrt(10)\/sqrt(5) + sqrt(2)).\nAnswer: 1 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16080938 - -44890938. What is s rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1313 + 5?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4909 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: Simplify (-1 + (2 + 5*(1 + 4 + (sqrt(175) - (sqrt(175) + sqrt(175)*-1*-3))))*-6)**2.\nAnswer: -146700*sqrt(7) + 1444069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 != -38\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1391207792.\nAnswer: 2, 13, 6688499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.3, -1\/2, 67.16, -0.86 in ascending order.\nAnswer: -0.86, -1\/2, -0.3, 5, 67.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfnqqiqqqqqiiqiqfqqi. What is prob of sequence fqnq?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/(v\/(v*v\/(v\/(v**(-1\/4)*v))))))\/(v*v*v*v*v**(3\/2)*v))**1 assuming v is positive.\nAnswer: v**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l. Let m(y) = -13*y**2 + 6*y + 6. Let q(f) = -77*f**2 + 35*f + 35. Let w(t) = 35*m(t) - 6*q(t). Determine v(w(r)).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 1374?\nAnswer: 65952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16925 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4.1 times 26\nAnswer: -106.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -4, -213, -3.\nAnswer: -213, -4, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 18 + -100 + 31\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 80 (b) -1 (c) -0.12 (d) 4\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -3*r + 6, r + 3*p = -0*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -420\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 - -152. What is the lowest common multiple of k and 16?\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/((-15)\/36))\/((-4)\/(-10)). Differentiate -i - 5 + 25 - 14*z**3 wrt z.\nAnswer: -42*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 872?\nAnswer: 1\/436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from kuqukkkukqukkuu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743658 is divided by 123926?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -511655*v. Let f(m) = -m**2. Determine f(k(a)).\nAnswer: -261790839025*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 3269004?\nAnswer: -3269003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.17 and 865.21661102.\nAnswer: 865.38661102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Suppose b*w + 3 = 3*w, 0 = -4*a - 4*w + 20. Solve 0 = g + a*g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttnnnnqc. Give prob of picking 1 q and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 21. Let j(f) = -f**3 + 6*f**2 + f - 6. Let u be j(c). Suppose 0 = -u*n + 3*n - 42. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -688 + -1033. Let t = a - -2768. What are the prime factors of t?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2106\/(-135))\/39*(100\/76)\/(-5)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1336\/5 and 266 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmmttmjttmmttttmtmt. Give prob of picking 3 m.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - 2 + 56)*(-3 + 3 + 2*n - 1 + (3 - 2 + 1)*(4*n - n - n))*(-3*n**3 + 3*n**3 + 2*n**3) to the form o*n**3 + z*n**2 + s*n**4 + r*n + m and give s.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/2 or 9707.33?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17220*z**3 + z**2 + 416502*z?\nAnswer: -103320*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11046625 (base 7) in base 3?\nAnswer: 1210102111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7852*q - 2440 = -7730*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 38*190\nAnswer: 7220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 f when four letters picked without replacement from {f: 2, x: 6}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 16654*w + 192 = -16652*w, 4*w + 1152 = -12*v for v.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 2520.8?\nAnswer: -2520.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 991*u**5 + 796*u**2 wrt u?\nAnswer: 59460*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 50 = -5*q, 22 = 2*u + q - 2*q. Factor -v**2 - 8*v - u + 4*v**2 + 0*v - v.\nAnswer: 3*(v - 4)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 15*k - 50. Let q be r(-10). Let w(f) be the first derivative of -1 - 9\/2*f**2 + q*f + 9\/4*f**4 + 3*f**5 - 5*f**3. Let w(y) = 0. What is y?\nAnswer: -1, -3\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6 - 0. Suppose 0 = g*b + b + 4. What is the units digit of (-3)\/(-2) - b\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 - 2*g**2 + g - 4. Let u(b) = 21*b**3 + 30*b**2 - 18*b + 60. Give 30*q(a) + 2*u(a).\nAnswer: 102*a**3 - 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-4)*(-32)\/(-24). Suppose 5*a = -s*i - 2*i - 25, -a = 4*i + 21. Let r = 9959\/14 + -711. Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -8, 44, 1, 0.1, 19, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from xxxlllllxx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/3912 and 45\/109862.\nAnswer: 1318344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*q - 210*q + 84*q + 67*q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -59 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1796883663 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 15*i**3 - 2450*i**2 + 7960*i + 6400 = 0.\nAnswer: -2\/3, 4, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 35*c + 6. Let h be g(5). Suppose -34148 = -149*d + 23664. Let j = d - h. List the prime factors of j.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*528\/792*231.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -94*i**3 - 9*i**2 - 34*i - 12. What is the thousands digit of m(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3842 and 245474985.\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 212 + -1273\/6. Let d(g) = -g - 6. Let l be d(-5). Which is the third smallest value? (a) 4 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/(-126))\/((-2)\/116))\/((-15)\/420*8).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0892 - -1100433310.\nAnswer: 1100433310.0892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 4*o - 3. Let t be k(2). Let i be (2 - 0)*t*(-15)\/(-5). Solve -i = -2*m - 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382306923 divided by 20121417.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, -35, 0 in increasing order.\nAnswer: -82, -35, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 - y**3 - 257*y**2 - 1 - 1 - 11580*y**2.\nAnswer: -y**3 - 11837*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 less than -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53528738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 6380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1161.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50790023.\nAnswer: 50790023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4985414 to three dps.\nAnswer: -1.499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -5\/26, 3.\nAnswer: -5\/26, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 284 + -188. What is the units digit of y\/2 - (-5 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 - 27 - 6*r**3 + (-5 + 5 + 2)*(r**3 + r**3 - 3*r**3) + r**3 - 6*r**3 + r**3.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-8*22\/(-160).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424*z + 913\/2*z**2 + 11\/2 + 38*z**3 = 0. Calculate z.\nAnswer: -11, -1, -1\/76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -958 = 150*w - 3208 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -312446 + 142446. What is i rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 17*z - 11. Suppose -8*t + 3*t = -30. Let i(j) = -8*j + 5. Calculate t*h(u) + 13*i(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*240.267.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(-54*7\/(-3276))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3095.3377 days to weeks.\nAnswer: 442.1911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -26*b - 127. Let l be t(-5). Solve 2*n - l*j = -0*n + 5, -4*n = -2*j - 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v**2 - 49*v + 34. Let a be j(-23). Suppose -a = -6*y - 903. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) 0.2 (c) -3\/4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 22*x + 1. Let s be n(1). Suppose -5*i - 3 = -s. Suppose 3*y + 0*y + 7 = -v, i*v = 3*y + 17. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 374.1 - 311. Let u = z + -67. Let l = u + -1.1. Which is the smallest value? (a) 3 (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15.5, 1, -0.5, 5, -4?\nAnswer: -15.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -14. Suppose f*w = -0*w + 213. What is the remainder when w is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 1) + 5 + -4. Suppose 50 = -l*o + 7*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32865\/21344 + 36\/667. Let g = 758\/39 + -3236\/117. What is the common denominator of r and g?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21471826 a multiple of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*-2*-6. Let t(i) be the second derivative of -i**4\/12 - 4*i**3\/3 + 2*i**2 - i. What is the least common multiple of 12 and t(p)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r. Let q(d) = -48*d. Determine q(n(j)).\nAnswer: -288*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 6*y - 5, 2*y + 10 = u. What is the remainder when 13 is divided by 8 - 3 - (u + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*a + 28 = -70*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 12*q**2 - 14*q + 4. Calculate y(-7).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5578 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 1:38 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -61. Let x = 23 + v. Solve -5*u = -u + 2*t - 6, 2*u = x*t - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-189)*(1 + 2). Let m = a - -28\/45. Let p(o) = o - 7. Let s be p(5). What is the second biggest value in m, 1\/6, s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/70)\/(((-271920)\/352)\/309)\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -438730 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 8 - 19. Let b = z - -12. Let j be (2\/5)\/(b\/(-5)). Is -1 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -97 + 37. Calculate the least common multiple of i and 102.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1544, -3093, -4642, -6191, -7740?\n\"Answer: -1549*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102462 (base 7) to base 2.\nAnswer: -100010101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1206, 1441, 1746, 2157, 2710, 3441, 4386, 5581?\n\"Answer: 6*t**3 - t**2 + 196*t + 1005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 136.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/((-6)\/(-9)). Let z(c) = -c**2 - 7*c + 10. Let j be z(-8). What is the derivative of 2*n**4 + f + j*n - 2*n wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*o**4 + 0*o - 122*o**4 + o**2 + 8 - o - o**2 - o**2 as p*o**4 + z + s*o**2 + j*o + y*o**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + -2 + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65572921?\nAnswer: 2293, 28597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -181*j + 181*j + 11*j**2 - 18 wrt j.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(((-1960)\/(-175))\/56).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13, 3, 2, 4, -1641 in ascending order.\nAnswer: -1641, 1, 2, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 11:56 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 681 + 675 - h**2 - 8323*h**3 - 2*h.\nAnswer: -8323*h**3 - h**2 - h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1906958 take away 8582307.5?\nAnswer: -10489265.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 192, -0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1454221507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -2. Suppose -146 = -2*c - 136. Suppose -c*d - 25 = 0, 0 = -r - 5*d - 7. Solve 3*j - z*w + r = -10, 2*j - 3*w = -17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3\/9 + 178*x**2 - 41072*x\/9 + 62776\/3 = 0.\nAnswer: -826, 6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2405 = -156*j - 377 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6)*79\/((-48980)\/(-744))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewvaewwswvwas. Give prob of picking 1 w, 1 a, and 1 e.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*r + 43, 0 = -3*r + 5*d + 64 - 3. Suppose -3*b = -3*t + 3, -4 - 2 = -2*t. Let p be (-3 - -4) + (-5)\/(-15)*-6. Put r, p, b in ascending order.\nAnswer: p, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wimiiiwmiw. Give prob of sequence iim.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 558 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*q + 9 - 6, 5*q + 15 = -5*w. Let c = w + 39. Suppose -5*f + c = 6*f. Solve -u - f*u = 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3001 - 5?\nAnswer: -3006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 79983*b*c + 218571*b + 2*c**3 wrt c?\nAnswer: 79983*b + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in millimeters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, p: 2, n: 1, z: 4}. Give prob of picking 2 z and 2 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j + 74 - 150 - 3*j + 76.\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*c - 96*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1994\/(-16949) + (-912)\/340.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5, -4*v = 3*p - v - 54. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/1 - 8\/(12\/3). Let m be 6*((6 - 3) + 8\/k). Solve m*h + 3*u = 3, -4*u - 15 = -4*h - u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 51*j**2 - 14*j - 24. Let d be s(-2). List the prime factors of d\/(-156)*(-2559)\/4.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000326697 to 6 decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.70707 kilometers in nanometers?\nAnswer: 19707070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3041, 6060, 9077, 12092, 15105?\n\"Answer: -d**2 + 3022*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 0*g + 11\/3*g**3 + 9\/2*g**2 + 4 + 1\/4*g**4. What is the remainder when 29 is divided by p(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13886547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -67070 divided by -13414\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/36 and -25\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1532?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 285603 + -76090. Let z = 2859513 - r. What is z rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**3\/2 - 3*a**2\/2 + 2*a - 25. Let g = 1 + 2. Determine y(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/115 + (-27)\/483. Put 1\/6, m, -3 in descending order.\nAnswer: 1\/6, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 975594 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 109229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(130)\/sqrt(160)*-2)**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 plus -77.80253?\nAnswer: -8.80253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6042 and 228.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a = 25*a + 111216. Let w = -11066 + a. Round w to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d**2 - 60*d - 65. Let n be v(7). Solve 0 = n*r, 0 = 10*o - 7*o + r - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from iiilbbixjiiibxiiibi.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 51\/(5 - (-156)\/(-30)). Let h = 10191\/40 + a. What is the common denominator of h and 73\/28?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -1)*(0 + 6). Let h be (-4)\/z - 14\/(-6). Let s be (-8)\/(-10)*(-15)\/(-6). Solve 0 = s*u + 5 - h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 878*p**4 + 2197*p - 4.\nAnswer: 10536*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -83793.79341 rounded to the nearest one hundred?\nAnswer: -83800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + ((5 - -1) + -3 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 10*i + 6. Let g be f(-7). Let w be 163\/(-7) + 6\/21. Let p = g + w. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -11535?\nAnswer: -11535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (-3 + -1 + 5). Suppose s*j = 3*p - 6, -3*j = -8*j - 5*p. What is the third biggest value in 2\/3, j, 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 39, -31, 194?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (22*k**4 + 4*k**4 - 15*k**4)*(2*k + 0 + 0 + 2)*(-9 + 4 + 9).\nAnswer: 88*k**5 + 88*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3636, 3608, 3560, 3492, 3404, 3296?\n\"Answer: -10*g**2 + 2*g + 3644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*d + 4)*(4*d**3 - 2*d**3 - d**3)*(-18 + 7*d + 18 - 3*d + 5*d - d + (-4 - 2 + 5)*(-3 + 3 + 2*d) + 7*d - 3*d - 2*d - 2*d + 2*d + 2*d).\nAnswer: 20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57240, 57240, 57238, 57234?\nAnswer: 57228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 - -8)*(0 - -1). Let k = 22 - i. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**3 - 3556*u**2 - 3552*u = 0 for u.\nAnswer: -888, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49353408*x**4 + 12654720*x**3 - 1216800*x**2 + 52000*x - 2500\/3.\nAnswer: -4*(78*x - 5)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j + 852. Let h be f(-13). Solve i - 759 + h = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 5*p. Suppose 2*k + 5*t - 11 = p, 4*t - 14 = -3*k - t. Determine g so that -g**4 + 0*g - 1\/3*g**2 + 1\/3*g**5 + g**k + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9760124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-15))\/(8\/(-24))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 - 11*g**2 + 6*g - 8. Let l be q(8). Suppose 0 = d - 3*t + 2*t - 126, 3*d + 3*t = l. What are the prime factors of d?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhllhllllhhhhhlhlhln. What is prob of sequence lnl?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -58*y + 1. Let q be o(1). Let z = 53 + q. Let f be 1 + (-3 - 512\/z). Calculate the highest common divisor of f and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 65. Let v = u + -63. Let l(c) = -18*c + 30. What is the tens digit of l(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191827167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand (335*q**3 - 1189*q**2 + 1189*q**2)*(3 - 4 + 3)*(0 + 1 - 3).\nAnswer: -1340*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 128*i**3 + 7*i**2 - 2*i - 5. Let t(d) = -283*d**3 - 15*d**2 + 5*d + 10. Calculate 9*b(u) + 4*t(u).\nAnswer: 20*u**3 + 3*u**2 + 2*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 4. Let d(y) be the first derivative of -3*y - 5\/3*y**3 - 5\/2*y**2 + 1\/4*y**4 - 1. Let t be d(6). Give l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 519*y**3 - 110*y**2 + 2*y + 12. Let r(i) = 1037*i**3 - 220*i**2 + 3*i + 20. Let v(d) = 5*q(d) - 3*r(d). What is the third derivative of v(g) wrt g?\nAnswer: -3096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 9:09 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12511 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and 15560645.\nAnswer: 280091610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 2 + -1 + 2. Suppose 0 = m - 4*n - 50, o*n - 68 = -4*m + 32. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*w - 200 = 0. Suppose d - w = -9. Suppose k = 4*v - 9, 0 = -5*k + 4*v + 4 + d. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 95.54651km?\nAnswer: 95546510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzm when four letters picked without replacement from {t: 1, m: 4, y: 9, z: 4}?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -k - 7. Suppose 5*h + 30 = p, -2*p + 5 = k*h + 2*p. Let b be -6*(h - 1)*30. Round b to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/6)\/(2\/(-138)). Suppose -31 = 4*v - d. Suppose 0*x + v = 3*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: Let a be -3*(32\/12)\/(-4). Suppose -4*k - a*c = -826, -4*c + 5*c + 612 = 3*k. Suppose -5*x = -0*x - k. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -316.2428 to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3941 - 3882. Suppose z = -h + 31, 2*h = -3*z + 35 + 27. What is the remainder when p is divided by h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.727 + 5.727. What is the nearest to -6 in j, -10, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7864570 is divided by 782?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -119\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 10 = -5*s. Suppose 3*w + s = 11, -5*k - 5*w + 25 = 0. Suppose -g - n = -3*n, k*n = -3*g + 40. Calculate the remainder when 19 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -35*q - 45. Let h(t) = -9*t - 11. Let n(u) = 6*a(u) - 22*h(u). Let g be n(-7). Let x = g + -1. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.58147 and 26703.\nAnswer: 26702.41853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - ((-1800)\/(-63))\/(-5) - (-288129)\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l = 0. Let z be (175\/15 - 15)\/((-4)\/6). Suppose -z*r + 8*r - 48 = l. What is the greatest common factor of r and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.6 + 19. Let i = g - 9. Let r = i - 7.3. What is r rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 884*f**7\/21 - 1213*f**3 + f + 468. What is the second derivative of o(a) wrt a?\nAnswer: 35360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a hour in seconds?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -0.7. Let u = 1.97 + 0.03. Let n be (8\/14)\/((-396)\/154). Put u, j, n in descending order.\nAnswer: u, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 712 - 27?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 times 21?\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2013 (base 4) to base 12\nAnswer: b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, -0.1, -7, -2.\nAnswer: -7, -2, -0.1, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/6 and -37\/49342?\nAnswer: 148026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - -4*sqrt(91))*1 - sqrt(91))\/(-6*(sqrt(7) + sqrt(448) + sqrt(7)) - sqrt(7)).\nAnswer: -4*sqrt(13)\/61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 73*h**2 - 1165*h - 36. Calculate the remainder when c(17) is divided by 65.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -206*o + 138. Calculate c(1).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14900 is divided by 4917.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*k = 179*k + 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((7\/(-2))\/(-7))\/(1 - 9383\/9372). Is -425 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - (-58 - -9 - 38).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30302 - -222323323?\nAnswer: 223020231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 384 = -3*w. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-18) + 10)*(-12)\/(-14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -311 + 16173\/52. Let z = g - -3\/13. Which is the third smallest value? (a) -2 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4399 and 249?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -8*q**2 - 7*q + 168. Let r(h) = 11*h**2 + 11*h - 167. What is 2*r(w) + 3*u(w)?\nAnswer: -2*w**2 + w + 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 173956663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffnnffwffnfnnfffff. What is prob of picking 2 n?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + t = 5, -6 = -5*k + 2*k - t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -2)\/(27\/(-135)). Sort s, 340, -4, 6.\nAnswer: s, -4, 6, 340","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3929, 3936, 3947, 3962, 3981, 4004, 4031?\nAnswer: 4062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2702790 is divided by 1025?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-89)\/5874)\/((-1)\/2)*45\/15.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3. Let x = 687 + -690. Put 1, n, x, -2 in decreasing order.\nAnswer: 1, n, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-1*2\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4691813?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73269\/77740 - 168\/845. Calculate the common denominator of 101\/12 and b.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3234 and 200937.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 48\/10)*(-234)\/78. Let 27\/5*s**4 + 6\/5*s**2 + 0*s + j*s**3 + 0 = 0. Calculate s.\nAnswer: -2\/3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4830125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvpuupprrhurprrvrvvp. What is prob of picking 2 u, 1 h, and 1 r?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -29*f**3 - 2*f**2 + 9*f - 10. Let q be b(7). Let y = q + 75735. Suppose 0 = -5*p + 10, -d + y = 5*p - 32267. Round d to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 3:55 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + 1 + sqrt(512) + 1 + -5 + 5))**2.\nAnswer: -384*sqrt(2) + 2084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13.4 in -3, -1\/42, 1.247?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38, 75, 114, 155, 198, 243, 290?\n\"Answer: r**2 + 34*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4403\/2610 + -14\/261. What is the common denominator of i and 119\/174?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (52\/5)\/(3\/15). Let w = 195 - 13. What is the greatest common divisor of t and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(2\/17)*o**(1\/12)*o**(-8)*o**(8\/9) assuming o is positive.\nAnswer: o**(-3617\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 + z)*(-5*z + 3*z + 3*z) - z - 2*z**2 + z + 11*z**2 + 14*z**2 - 12*z**2)*(5*z + 8*z**3 - 5*z - 2*z).\nAnswer: 96*z**5 - 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*m + 12, 4*u = -3*m - 0 + 9. Let w = -147 + 1619\/11. Which is the closest to 0? (a) -1 (b) w (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {r: 2, e: 4, p: 1, n: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - ((-2)\/3)\/((-6)\/18). Let o(l) = -1. Let r(j) = j + 3. Determine w*o(c) + r(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -125 in -1, -12, -0.04?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a day in minutes?\nAnswer: 49680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(693) - -1*sqrt(693)*2)\/sqrt(11))\/(sqrt(81)\/(2*sqrt(9)) - (3*((sqrt(9)*2 - sqrt(9)) + sqrt(9)) - sqrt(9))).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*q - 9 - 4 = 0, 0 = 5*q. Suppose -3*m = 4*p - j, 2*p + 2 = 4*p. Suppose m*d = 7 + 23. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303 (base 5) to base 3.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61*c*j**3*m - c*j + 82*c*m - j**3*m - 55*j**3 + 2*j*m + 38*j wrt m?\nAnswer: 61*c*j**3 + 82*c - j**3 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from mhfcfcu?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h = -2*a - 8, -4*h = 3*a + 17. Let v be 5\/10 + a\/(-2). Suppose -2*n - 4*w + 36 = v, 3*w + 2 = n - 1. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4463\/112 less than or equal to 4\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14729 - -19848. Does 47 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21.18219 + 0.06619. Let w = 21 + z. What is w rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l**2 - 2*l**3 - 2*l**3 - 24*l**2 - 18.\nAnswer: -4*l**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**2 - 3*p - 1. Let s(u) = 12*u**2 - 7*u - 3. Suppose 0 = -n + 2*y - 6*y + 11, 17 = n + 7*y. Calculate n*s(q) - 7*m(q).\nAnswer: -6*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 61?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.3 - -16.3. Let g = 13 - i. Which is the nearest to g? (a) 0.5 (b) 5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 12:53 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 9*l - 115 = 0, 40*l = -2*o + 43*l - 40. Let t = 5 + -6. Let a be t\/(1 - 2\/3). Put a, o, -4 in decreasing order.\nAnswer: a, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5736 divided by 4\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 183658214?\nAnswer: 1101949284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.19 (b) 0.4 (c) 0 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194920099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 16*f**2 + 3*f - 2 - 25 + 25*f - 1. Let z(c) = -3*c**2 - 5*c + 5. Let k(m) = -5*y(m) - 28*z(m). Let u(l) = -7*l. What is k(u(b))?\nAnswer: 196*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 234 - 14039\/60. Let y(v) be the third derivative of 0*v + 0 + 16*v**2 + 5\/24*v**4 + r*v**5 + v**3. Give y(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = 4*g - g, -i = -3. Is (1\/(-3) - g) + 199326\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7898, 15796, 23694, 31592, 39490, 47388?\nAnswer: 55286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -148, -1067.46?\nAnswer: -1067.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3645) - (-4 + sqrt(3645)*-2 + sqrt(3645)))*3 + sqrt(45) + 3 + 3 + sqrt(135)\/sqrt(3) + 1)**2.\nAnswer: 6384*sqrt(5) + 141481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 1:48 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*x + 1985 = -899*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 5:10 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/450048 and 85\/112512.\nAnswer: 450048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3*(-138)\/23. Suppose m + 24 = w*r - 2*m, 2*m = -3*r + 35. Suppose 6*c - 3*c - r = 0. Solve 0 = 2*i - c*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -6*t - 11, -15*n + 18*n - t = -2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 + 130. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 762 - 413. Calculate the remainder when j is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -973546*h**3 + 1198541*h?\nAnswer: -5841276*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-231)\/42)\/11)\/(1\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 11. Calculate the least common multiple of b and (-605)\/(-66) - (-15)\/18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-5)*730\/4. Suppose -3*m - v = -1146, v = 2*m - v - 756. Let o = m - h. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1430048101 - 1430048130.00000052. Let r = -29 - o. What is r rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -441 - -7933\/18. Calculate the common denominator of x and 2\/(-6)*(-9)\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52816556 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - (0 - 0)) + -1. Suppose -20 = -b - 15. Solve 2*s = -k - b, 3*s - r*k = -8 - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 0*q**4 + 0*q**5 + 14*q + 1\/30*q**6 - 15\/2*q**2 + 0*q**3 + 0. What is the derivative of n(y) wrt y?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-1820)*13)\/((-77)\/(-385)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a**2 - 11*a**3 - 10*a**2)*(-4*a + 0*a - a) - 13*a**4 - 9*a**4 + 9*a**4.\nAnswer: 42*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 44. Let u be g(16). What are the prime factors of (1*u)\/(0 - 9\/(-264))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1669037, -1669036, -1669035?\nAnswer: -1669034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 490133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 193310057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -9*s - 20. Solve 3*y + s*v + 9 + 2 = 0, 2*y = -5*v - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24549.7 and -1.\nAnswer: -24550.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -45*-2*(-2)\/(-14)*(-8736)\/3744\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*p**5 - 23280621*p**4 - 35487460*p**2 wrt p?\nAnswer: -360*p**2 - 558734904*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4 - 86609\/1348.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 5 - 0) + (-62)\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1 + 2 + 162*x**2 - 2. Is r(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2646466, 2646461, 2646454, 2646445?\nAnswer: 2646434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + 0 + sqrt(612) + (sqrt(612) - 1*sqrt(612)) + 1 + (-2*(0 + sqrt(612)) - sqrt(612)))**2.\nAnswer: 24*sqrt(17) + 2454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.928 - 0.072. What is the nearest to 1.3 in -1, -1\/3, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -2, 741\/5, 0.1, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15460489523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2. Let w(k) = k + 5. Let u(f) = -f - 3. Suppose -7*h + 9 = -4*h. Let p(n) = h*w(n) + 5*u(n). Calculate p(j(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/11 + 5928*c**2 - 64986*c\/11 - 652060 = 0. Calculate c.\nAnswer: -10, 11, 32603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most -1639439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 3*n = -2*x + 3*n - 332, -2*x - 3*n + 61 = -63 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (138\/(-92))\/((-39)\/(-52))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1120?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 324001*k**2 + 5*k. Let q(g) = g - 5. Let w be q(0). Let j be a(w). Round j to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11 + u - 12 + 6. Let s be m(4). Suppose -s*i + 44 = -46. Solve -4*r = -6 - i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 5411?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 9:23 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -214\/55 + 19\/5. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(4\/14)\/1. Sort -5, -2, k in increasing order.\nAnswer: -5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.14 times -12026\nAnswer: 13709.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehqk when four letters picked without replacement from {h: 1, k: 4, w: 1, e: 3, q: 4}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -717*o**2 + 717*o**2 + 1804*o**3.\nAnswer: 1804*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -y + 29, -y + 45 = 83*p - 78*p. What is the remainder when 44 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603413 greater than 603408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*g, 3 = 2*b + g - 4. Let a(o) = -4*o + 5. Suppose 0 = i + i - 4*r - 26, 4 = i + r. Let z(k) = -2*k + 5 + i - 3*k - 6. Give b*z(p) - 7*a(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 5*m = -3, m = -947*j + 952*j - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 4*z**2 + 4*z - 6. Let u be w(5). Let r be (-1)\/2 + u\/(-2). Let n be ((-12)\/15)\/(8\/r). Solve 2 = -n*g - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y + 29. Let s(u) = -4*u**2 + 3*u - 2. Let h be s(2). Let q be t(h). What is the highest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 7. Let c be n(-3). Suppose 3*y - 60 = -5*d - c, -2*d + 5*y = 11. Solve 3*i - 8 = d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2314)\/234 + (-20)\/18. Let k = 13 + -9. Let v = 0.2 - 1.2. Sort k, y, v.\nAnswer: y, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 0*i - 3 - 3\/5*i**5 - i**3 + 0*i**4 + 0*i**2. What is the third derivative of m(o) wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k*q**6 + 15005*k*q**3 - 2*k*q**2 + k + q**3 - 4306*q**2 wrt q?\nAnswer: -120*k*q**3 + 90030*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 549 - r**2 + 23343*r**3 - 23348*r**3 - 3*r + 0*r wrt r?\nAnswer: -15*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/19 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*w**3 - 4 - 80*w**3 + 38*w**3 as m + a*w + q*w**3 + c*w**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 135718 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 776 - 772 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*u - 27 = 0, 0 = -5*x + 4*x + 3*u + 15. Suppose -17 = -x*d + 1. What is the remainder when 115\/2 + d + 10\/(-4) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + p - 3. Let u be l(5). Let j = u + 61. What is the remainder when j is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = 31*x - 168. Solve -x*h - 24*c = -19*c + 4, c - 8 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 2:52 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17806711651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**5 - 4*v**5 + 3*v**5 - 3*v**5 + v**5 + 3*v**5 - 3*v**5 - v**5 + 2*v**5 + (-3 - v**4 + 3)*(4*v + v - 3*v) + 5*v**5 + 0*v**5 - 4*v**5.\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 130*g + 128*g + 46 to z + s*g and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + n + 944 = -a, 0 = -2*a - 4*n + 454. Let h = -170 + a. What is the remainder when 324 is divided by h?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*n = 38*n - 179*n + 558 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12167*u = 11866*u + 19565 for u.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 - 8*v. Let b be k(2). Let o(i) = 11*i + 4. Let f be o(b). Solve -f*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 22*n + 3. Calculate the smallest common multiple of y(21) and 33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 8 (b) 1 (c) -1 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 74*g**2 - 36*g**2 - 37*g**2. Let n(y) = -6*y**2 - 2*y + 2*y. Determine l(n(w)).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 678752\/35 - 19391. Calculate the common denominator of -91\/15 and d.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 73.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41818*l**2 - 49804*l wrt l.\nAnswer: -83636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57691, 461638, 1558069, 3693226, 7213351, 12464686, 19793473, 29545954?\nAnswer: 42068371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24003631771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 975 and 663?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -182*m - 119. Is z(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7291, -29070, -65357, -116164, -181503, -261386, -355825?\n\"Answer: -2*k**3 - 7242*k**2 - 39*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 4. Calculate the remainder when n(-4) is divided by (1\/((-4)\/(-3)))\/(174\/464).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -3756.\nAnswer: -3756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/((-72)\/18) - (1 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 196 - 866*o + 636 + 828 + 6111*o wrt o.\nAnswer: 5245","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 10. Let w be (-4)\/(-3)*(-6)\/(-2). Suppose -w*a + 80 + 12 = 0. Solve a = i*p - 2*p + 5*r, -2*r = -2*p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -3\/8 (c) 0.5 (d) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1163643*v - 3490913. Calculate m(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(1085 - 1085 + 148*p)*((-2 - 1 + 4)*(-3 + 2 - 1) + 5 - 3 - 3 - 2 - 9 - 3).\nAnswer: -5032*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 359, 712, 1055, 1382, 1687, 1964?\n\"Answer: -y**3 + y**2 + 357*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18293167?\nAnswer: 1063, 17209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = -0, 4*m = 4*r. What is the second derivative of 2*t**3 - 5*t - 6*t**m + 2*t - 2*t wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -148401, 3\/2, 1\/3, -0.3, -2, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 3)*(-60)\/(-9). Suppose -4*n + 0*g = 5*g + y, -2*g - 8 = 2*n. Suppose n*x = -x + 9. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 43. What is the lowest common multiple of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 o, and 1 f when three letters picked without replacement from fffdhfoftyhfft?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -34. Let b = 0.3 + -0.2. What is the second smallest value in m, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -690, -698, -698, -690, -674, -650, -618?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -53 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -1984, -3, 29 in increasing order.\nAnswer: -1984, -3, 2\/11, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 divided by -55?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 213536\/13 greater than or equal to 16425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = -5*z - 35, 2*z + 26 = 5*m. Suppose 0*y = -m*y + 12. Is (y - 1 - 3) + 116 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/16)\/((-28)\/3402*-81)?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 269, 399, 529, 659, 789?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/1*(-26)\/30)\/(11*(-138)\/(-3795))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -7. Let t be -4 + 0 + 1 - j. Solve -t*q + 7*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 12:16 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 - 5.4.\nAnswer: 124.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -5. Suppose 57*h + 48 = 5*v + 53*h, -5*v = 2*h - 36. What is the remainder when v is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/4 + 46*a**2 - 6833*a\/4 - 7205\/2 = 0.\nAnswer: -2, 55, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 9035, -5, -3 in increasing order.\nAnswer: -5, -3, 9035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y = -144*y - 810 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 212.2 and -10841?\nAnswer: -2300460.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12041 (base 5) in base 4?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 1. Let a(y) = y**3 - 26*y**2 - 21*y + 3. Let j(w) = -a(w) - 6*s(w). Let n be j(21). Suppose n*i + 83 = 227. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*t - 14, 4*t - 3*y - 3 = -1. Solve -5*c + 17 = t*v, 7 = 2*v + 3*c - 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2676\/228823 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -742 - 162?\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 490, 1387, 2720, 4483, 6670, 9275?\nAnswer: 12292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 18 - 38)*(-x - 4*x - x) + (3 - 3 + 1)*(2*x + 3*x - 3*x) + x + 0*x + x + 1 - 2*x - 1.\nAnswer: 284*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3 + 4*k**2 - 2*k + 1. Let r(m) = 4*m**3 - 4*m**2 + 2*m - 2. Suppose 0 = -24*h - 125*h + 308 + 586. Determine h*v(t) + 5*r(t).\nAnswer: 2*t**3 + 4*t**2 - 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6055887?\nAnswer: 3, 2018629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*19\/36 + (-7)\/(-63))\/(140\/2)?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.4, -6, 2\/3, -4, 65?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58031 at most as big as -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-24)*12\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(39\/(-468))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k. Let t(b) = 3*b**2 + 5*b - 136. Let r be t(10). Let p(i) = -109*i + r*i - 112*i. Determine p(o(q)).\nAnswer: -28*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**2 + 63*t + 11. Let r(b) = 2*b**2 + 21*b + 4. Calculate -4*o(y) + 11*r(y).\nAnswer: 2*y**2 - 21*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (-2)\/(-4))*(-12)\/30. Which is the biggest value? (a) u (b) 0.4 (c) -5\/3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 12 = 9*z. Suppose 2*v = z*v - 26. What is the first derivative of 9*h**2 - v*h**2 - 10*h**2 - 31 wrt h?\nAnswer: -28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543106 to the power of 1\/2, to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2680246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6508058 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 - 35. What is the remainder when u is divided by (-72)\/(-3 - 1) - 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**2 - 5*l + 6. Let d be g(2). Calculate the highest common factor of 60 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v. Let p(a) = 5*a**2 + 9*a**2 - 11*a**2. Determine q(p(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2690)\/807*(2\/50)\/(-1)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -680 divided by 4\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.2. Let m = y - -0.2. Let b = m - 3.2. What is the second smallest value in -0.3, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}