diff --git "a/data/dm_maths/full_data_2/10263_11255.jsonl" "b/data/dm_maths/full_data_2/10263_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10263_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the second derivative of -28*d*j**5 + 5*d*j**3 - 198*d*j - 5*j wrt j.\nAnswer: -560*d*j**3 + 30*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 10*v**2 + 518*v - 5180. Determine h(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*w + 11. Sort w, 256, -3.\nAnswer: w, -3, 256","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**3 + 65*p**2\/2 + 13*p - 70. Calculate o(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-21)*((-1995)\/700)\/19.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + a**2 - 2*a + 1. Let s(p) = 492*p**3 - 84*p**2 - 24*p + 12. Let y(x) = -s(x) + 12*u(x). Find the third derivative of y(m) wrt m.\nAnswer: -2880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67807 + 105504. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3077225 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/5 (b) -312 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*m = -3, 0 = 33*u - 39*u - 3*m. Let v(f) = f - 9. Let i(c) = -c + 1. Determine u*v(y) - 4*i(y).\nAnswer: 3*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 40121?\nAnswer: 40122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1406)\/(-6) + (-7)\/21. Suppose -90 = 6*w - l. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 16, -2, -0.3 in decreasing order.\nAnswer: 16, -0.3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-672)\/31920 - (-43)\/1140.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**7\/126 + g**6\/30 + g**5\/20 + g**4\/36 + 8*g + 3. Factor d(j).\nAnswer: j**2*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -29, -2\/3, 0.7, 1, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 - 1543*t**2\/4 + 12215*t + 25971.\nAnswer: -(t - 33)*(t + 2)*(t + 1574)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -116*((-1750)\/40)\/25. Calculate the greatest common divisor of 77 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 10*w + 12*w + 3*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*b + 29*b - 2*b**2 + 24*b in the form d*b + t + a*b**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55.3 + -55.46. Sort -1\/3, 5\/2, g, 2\/7 in decreasing order.\nAnswer: 5\/2, 2\/7, g, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 4?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(240)\/sqrt(5)*5 - sqrt(240)\/(sqrt(5) + sqrt(45) + sqrt(5)))**2 + -2)*4*-1.\nAnswer: -110892\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 4*w = -48, -2*o - 523*w + 526*w - 12 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1088239062?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*k, -71 = -l - 10*k + 18*k. Let z(a) = -a**3 - a**2 - a - 1. Calculate the remainder when z(-6) is divided by l.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6290, 6301, 6314, 6329?\nAnswer: 6346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510*q + 34655 = 5*b - 514*q, 4*b = 3*q + 27723. What is the remainder when b is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from eeeeeneeenenenien?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*(3 + 33\/(-15))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81390.81141937 less than 0.26?\nAnswer: -81390.55141937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.6 + 3.4. Let q = p - -1.2. Which is the biggest value? (a) -1\/8 (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from bblktlbblbbsllsbbb?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.28 - -2.28. Which is the third smallest value? (a) 10 (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/60*(-8)\/(-16)*10)\/(32\/(-200)).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251261070 is divided by 471?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -483 - -612. Let q = i - 647\/5. Let m = -7 - -12. Sort q, m, -0.13, -2.\nAnswer: -2, q, -0.13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3131 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 7*j**2. Let u = -3 + -4. Let x be y(u). Solve x = -2*o - o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p - 3. Let w(k) = -3 + 276*k - 273*k + k**2 + 1. Give -2*w(n) + 3*x(n).\nAnswer: -2*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, -38, -146, -312, -542?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 79*w - 692. Let y be u(10). Let n(j) = 2*j**2 - 2*j - 4. Let x(s) = s**3 + 5*s**2 - 5*s - 8. Give y*x(c) + 5*n(c).\nAnswer: -2*c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*s - 113 = 4*s, -5*m + 3*s + 283 = 0. What is the highest common factor of m and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.91 and -43?\nAnswer: 43.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/18733 and -61\/132?\nAnswer: 224796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/8535852 and 53\/351.\nAnswer: 25607556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -167414 - 1032?\nAnswer: -168446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.02, 1\/4, -110, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m - 2701 + 8081 - 2690 - 2691 - 12*m**2 as c*m + v*m**2 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 4*w**4 - 2 - w**4 + 2*w**4 - 3*w + 3*w + (-2*w**3 - 2*w**3 + 6*w**3)*(0*w + 4*w - 6*w) - w**4 - 4*w**2 + 4*w**2.\nAnswer: -w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 461.1711g in milligrams?\nAnswer: 461171.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -195*i**2 + 24*i - 5*i - 140*i**2 - 22*i to w*i**2 + k*i + l and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**1)**0\/(o*o**(2\/11)*o**(-2\/9)))**16)**43 assuming o is positive.\nAnswer: o**(-65360\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhmmmmmhm. What is prob of picking 3 m?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 + 29*p + 46. Let y be c(11). Differentiate 193 - 17*j - 23*j + 40*j - 2*j**4 + 45*j**2 + 34*j**y wrt j.\nAnswer: -8*j**3 + 158*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-36)\/(-32)*16. Let h be (-8)\/(-32) - 1\/j*-31. Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17177619 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -1711*l**7\/42 - 259*l**4\/12 + l**2 - 1184*l. Find the third derivative of p(h) wrt h.\nAnswer: -102660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 6*b**2 - 2. Let y be g(-6). Let q = 3 - y. Find the third derivative of 0*n**6 - n**2 + q*n**6 - 3*n**2 wrt n.\nAnswer: 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -19. Solve -g = 4*d, 3*i - 4*d - 21 = 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, u: 6, l: 10}. Give prob of picking 1 u, 1 l, and 1 g.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10656 and 9756?\nAnswer: 2887776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 535 + -779. Let o = 503 + l. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -3, 2096, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 7:32 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -175 + -17 - 2*-1. Is j greater than or equal to -189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.24 - 0.12. Let k = d + -0.119926. What is k rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -522 + 93?\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 117, -3\/4, 8, -0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 5:41 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 8:11 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*18\/((-10)\/5). Let z = o - -42. Suppose 0*c - 4*c - 3*l = -58, 5*c = -l + z. Calculate the remainder when c is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k. Let g(r) = 127345*r. Determine g(t(y)).\nAnswer: -127345*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1393309613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14238, -28460, -42668, -56856, -71018, -85148, -99240?\nAnswer: -113288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**8*((k*k**5)\/k*k)\/k*(k**(-2)\/k)**(-32) assuming k is positive.\nAnswer: k**109","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 19*u - 12*u. Solve -5*x = -u*s - 5, -5*x - s - 19 = -0*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w + 2*w + 2*w)*(-3*w + 4*w - 4*w) in the form m + i*w + o*w**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = -3*d + 5*u + 4, -4*d - 5*u = -3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11179126*w**3 - 4*w**2 + 12726263.\nAnswer: -67074756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-39))\/(15\/(-87)) - 78\/507?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1032, -2022, -3012?\nAnswer: -4002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 12 = 0, -2*v + 11 = -f + 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - -41 - -37 - 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 108687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -7*p**5\/10 - 11*p**4\/6 - 211*p**3\/3 - 18*p + 5. Find the second derivative of k(m) wrt m.\nAnswer: -84*m - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 21131422?\nAnswer: 21131442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syyyssyyyyssysysyyss. What is prob of picking 2 s?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1105*s - 763 + 2209*s - 1103*s)*(-2*s**2 - 2*s**2 + 6*s**2).\nAnswer: 2*s**3 - 1526*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -71 + -177?\nAnswer: -1e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-15)*30\/(-12). Suppose 5*s - 7*s - t = 0. Let k = -13 - -9. What is the second biggest value in -0.1, s, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from {o: 6, p: 4, e: 1, t: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 - 35. Let n be (2\/(-5))\/(a\/45). Let z be 0 + 0 + 1\/3. Sort z, -0.4, n.\nAnswer: n, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 - j + 1. Let p be h(1). Let i(m) = m**2 - 4*m + 10. Let d be i(p). Solve -5 = -w - d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2 - 2)*(-2*y**4 - 95*y**4 + 19*y**4).\nAnswer: -78*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*j = 8939, -13*j + 11*j + 14 = 0. Does 43 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53352 take away 6?\nAnswer: -53358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21238507 - 7.\nAnswer: -21238514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57 or -742\/13?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 291 = 3*h, -290 = -4*r - 20*h + 18*h. Calculate the least common multiple of r and 172.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -500*h - 16. List the prime factors of l(-1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 3*d + 1. Let y(t) = -t**2 - 4*t + 2. Let j be y(-5). Let k be a(j). Is k\/(((-10)\/(-254))\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1360930693 to three decimal places.\nAnswer: -0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.7 + 6. Let o = 0.3 - h. Let r be ((-1)\/(-4) + 0)\/(-1). Which is smaller: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 14*k**3 - 11*k**2 - 14*k + 178. Let o(r) = -5*r**3 + 4*r**2 + 5*r - 59. What is 11*o(z) + 4*v(z)?\nAnswer: z**3 - z + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 961 = 14*g. Suppose 0 = -g*o - 11 + 3917. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5238.9 + -5238.89. Let t be 3\/(-10 - 2)*-10. Put -1, t, g in descending order.\nAnswer: t, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 31*b**3 + 345*b**2 - 49*b + 11. Let l(u) = 23*u**3 + 250*u**2 - 37*u + 8. Let f(k) = 8*a(k) - 11*l(k). Factor f(y).\nAnswer: -5*y*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - 19) + 36 + (28 - 21)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 11:22 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(242) + (5 + sqrt(242)*5)**2 + sqrt(242))*1.\nAnswer: 550*sqrt(2) + 6071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + (-1 - 38 - 22).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*c + 162657 = 60*c + 53*c. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.388 * 9720.\nAnswer: -52371.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/(((-40)\/(-12))\/2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(4\/11)\/(t**3*t\/(t\/(t\/(t**(-1)\/t)))*t*t)*(t**(-3\/4)*t*t*t**(-4)*t*t)\/(t**(5\/2)*t**7) assuming t is positive.\nAnswer: t**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + r + 1077 = 0, -3*r = 4*o - 432 - 657. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -7*r**4\/12 - 11*r**3\/3 - 17*r**2. Let l be c(-10). Let k = 204 - l. What are the prime factors of k?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 + 6588832*t\/9 - 5426588390528\/9.\nAnswer: -2*(t - 1647208)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200 + 174. Is -21 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2977 by 101.\nAnswer: -2977\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**5*i\/(i\/i**3))\/(i**(1\/3)*i\/(i*i\/(i**(2\/17)*i)))*i**(-4)\/i**(-1\/7)*(i\/(i**(-2)\/i)*i)\/(i*i*i*i\/((i\/(i*i**7))\/i)) assuming i is positive.\nAnswer: i**(-4394\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 13*b**2 + 14*b - 11. Calculate p(14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -158377 - -158377.096957. Let c = 100 - 99.903. Let s = c - v. What is s rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 4*k + 23, 4*k = -5*j + 8*k + 35 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1523595 is divided by 295.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 248*o + 15349. Let a(i) = 3. Let h(t) = 18*a(t) + 2*b(t). Find c, given that h(c) = 0.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 + 0.15. Let l = 0.8 + o. Let s = -24 + 22. Which is the nearest to 0.1? (a) 2\/15 (b) l (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (2 - 2) + 5. Let m = 36 + -17. Let h = 19.3 - m. What is the second smallest value in 3, h, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 29.597\nAnswer: -29.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1683? (a) 5 (b) -5 (c) -0.267 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/(1\/(-2)). Let o be -2*(q - 3*-489). Let m = o + 17659\/6. Find the common denominator of m and -17\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 1)*(u**4 - u**3 + u**3) + 12*u**4 + 3*u**3 + 3*u**3 - 6*u**3.\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**4 + 777*d**3 - 64854*d**2 + 2117340*d - 23700600 = 0. What is d?\nAnswer: 30, 66, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 (base 10) in base 13?\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = k - 0*x - x, 5*x = k - 172. Let p = -151 + k. Solve -2*l + 6 = -0*l, -w + p = 2*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122 - -124. Let z(y) = 4*y**2 - y**3 - r*y**2 + 2 - 1. Let c(q) = q + 5. Let l be c(-3). Give z(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l. Let o(s) = -10*s. Let k(w) = 6*a(w) + o(w). Suppose 4*y - 118 = 2126. Let p = y - 556. What is k(p)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5129700?\nAnswer: 2, 3, 5, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 4:24 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/10 - (-7)\/35. Suppose 9 = 3*m + 3*x, -16 = -0*m - q*m + 3*x. Suppose -m*y + 412 = -243. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.989 minus 0.3?\nAnswer: 34.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -81 - (-310 + 107 + 91)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210970809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 68.63025 centuries?\nAnswer: 6863.025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 1. Let w(c) = c + 3. Let o(t) = 2*u(t) - w(t). Let f(z) = z**2 + 2*z + 2. Let n(k) = f(k) - 3*o(k). Let a be n(0). Which is greater: 6 or a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -24. Let x be (-3 + 1)*11\/(-2). What is the first derivative of -5*w**3 + 9 + 1 - x*w**b wrt w?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*k - 4, 5*r - 10*r = -k - 20. Suppose -6*v = -4*q - 2*v + r, 4*q - 2*v = 10. Solve -4*x = 2*w + 10, -2*x + 1 = -q*x + 3*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*c**3 + 26776*c**2 - 26776*c**2 + (3*c + 3*c - 5*c)*(-12*c**2 - 2*c**2 + 2*c**2) to n*c**3 + u*c + h + y*c**2 and give n.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (4*-3)\/(14\/8 + -2) and 8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*n**2 - 10*n - 1097.\nAnswer: -74*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 250584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 26295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/14)\/(110\/(-385))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13253? (a) 1.1 (b) 5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2212222022120 (base 3) to base 6\nAnswer: -52521240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 869 - 1735 - k - 4*k**3 - 7*k**2 + 867 to f*k**3 + y + m*k**2 + d*k and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -3*k**6\/40 - k**5\/12 - 6*k**2 - 3*k. Let d(z) be the first derivative of w(z). Find the third derivative of d(q) wrt q.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1 (c) 3 (d) -1\/13 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2790 divided by -1\nAnswer: -2790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/13 and -45\/494.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**3\/3 - 3*g**2 - 88*g - 2181. Give k(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -66, -112, -164?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72505933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*o**3 - 4027*o**2 - 42*o - 1322079813?\nAnswer: -114*o**2 - 8054*o - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18062 divided by 3586.\nAnswer: 821\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (5 - -10) - (0 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2572.211 rounded to the nearest ten?\nAnswer: 2570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s**2 + 5*s**2 - 2*s**2)*(s**2 + 3*s**2 - 3*s**2) + s**4 + s**3 - s**3 + 4*s**4 - s**4 - 4*s**4 - s**4 + 4*s**4 + 2*s**4)*(0*s + 0*s + s).\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**3 - b**2 + 6*b + 5. Let x(i) = -i**3 - 1. Let n(u) = p(u) + 4*x(u). Let v be (-6)\/27 - (-68)\/(-18). Is n(v) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 - -78. Solve -5*m + 15 = 4*w - j, 0 = 4*m - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 96599 (c) 1 (d) 0.6 (e) 16\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231125723, -231125724, -231125725, -231125726, -231125727?\nAnswer: -231125728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22076393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10 + 3 - (2 - (2 - 3)). Let b be (-13)\/(-20) - d\/225*-9. Which is smaller: -1\/7 or b?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/14)\/(v\/v**(-7))*(v\/((v**(-5\/2)\/v)\/v))\/v**1)**(-13\/7) assuming v is positive.\nAnswer: v**(325\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*c*j**3*r**3 + 3*c*j**3*r**2 - 12*c*j**2*r + j**2*r**3 - 5*j*r**3 wrt j.\nAnswer: -60*c*r**3 + 18*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 10*o**2 + 9*o - 22. Let l be m(-13). Is (2 + l\/(-40))*90\/(-2) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + 14\/(-2) + (-4)\/(-10). Let q = -876 + 872. Which is the nearest to -0.1? (a) -3 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**3 + 10*u**2 + 7*u + 8. Let d(i) = -i**3 - i**2 - i - 1. Give 3*b(h) + 24*d(h).\nAnswer: -3*h**3 + 6*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/5)\/(9\/(-15)). Suppose 2 = y*k - 2*w - 6, -5*w = 2*k + 6. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 - 128. Let f(v) = -v**3 + 13*v**2 + 2*v + 5. Let o be f(13). Differentiate 17 + 10 - o + 25 - y*j with respect to j.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -42*b + 1896. Let y be p(22). What is the greatest common divisor of 1080 and y?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -258\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**3\/3 - k**2\/2 + 21*k + 3. Let v be p(0). Suppose -4*o + 3*d + 98 = -3, -o = -5*d - v. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -944 + 944.00617. What is j rounded to four dps?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 11:53 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 120624 (base 8) to base 15\nAnswer: c3c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**4\/5 + 468784*g**3\/5 + 13735839936*g**2\/5 + 54935859456*g\/5 = 0. What is g?\nAnswer: -58596, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -877 divided by -127097?\nAnswer: 877\/127097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {c: 1, x: 1, n: 1, l: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five eighths of a millisecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 11*x**2 + 10*x - 21. Let s be l(-12). Let u(n) = 0*n**3 + n**3 + 0*n - 3*n**2 + 3*n - 1. What is u(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 1:36 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12143542 (base 6) to base 7\nAnswer: 3201314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 43070*k - 945120.\nAnswer: -5*(k - 8592)*(k - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = w - 10 - 14, 4*l = 5*w + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 + 1 + 2*x**2 + 2*x**2 - 3 + 3 - x**2 - 5*x**2 + 4*x**2 - x**2 + (0 + 2*x + 0)*(x - 5*x + 3*x) to m*x**2 + p + d*x and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.4 - -3. Let z(g) = g**3 - 6*g**2 + 4. Let k be z(6). Which is the third smallest value? (a) -2 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 7:13 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from fifssisssfi.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 174*x**2 - 324?\nAnswer: 348*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/2)\/3 + 7\/(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10610 + 10610 + 1865*u to the form b + y*u and give y.\nAnswer: 1865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 59. Suppose w - z = -4*x + 2*x, -4*w = -8. Solve -u = u - x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4525060?\nAnswer: 2, 5, 17, 13309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*r**3 + 8 + 31 - 16 with respect to r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1912 - -1909. Sort t, 3, 2 in descending order.\nAnswer: 3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99866 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 0 + 13*u**2 to h*u**2 + w + i*u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310048 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 928676 divided by -471?\nAnswer: -928676\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5258, 4748, 4232, 3710, 3182, 2648, 2108?\n\"Answer: -3*b**2 - 501*b + 5762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/3, -497.5, -4, 3\/4, -2.\nAnswer: -497.5, -4, -2, 0, 1\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**(1\/12))\/((q*q\/(q\/q**(1\/15)))\/q))\/(q*q*q*q*q**(-12\/7)*q*q*q)**(-4\/5) assuming q is positive.\nAnswer: q**(3043\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11461?\nAnswer: 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 124*o**2 - 697*o + 40324. Calculate d(121).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -28. Which is the nearest to -4? (a) 0 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8577, 5 in descending order.\nAnswer: 5, -1, -8577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 427287463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -23. Let x be g\/(-2) + (6 - 5). Solve -5*v + 8 = -2*v - 4*j, -x*v + 8 = -4*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(153) - sqrt(153)*-2)**2 - sqrt(153) - sqrt(153)) + 0 + sqrt(153) + -4.\nAnswer: -3*sqrt(17) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 1. Let a be p(0). Let s be 27\/(-18)*(-83 - a). Suppose 5*m = 2*y - s - 187, -481 = -3*y - 4*m. Round y to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 4907, -0.8, -2, -0.1 in ascending order.\nAnswer: -2, -3\/2, -0.8, -0.1, 4907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 15*r + 4. What are the prime factors of l(-14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i - 5*i + 9 + 4 + 0*i. Let a be f(14). Let w = 5 - a. Calculate the highest common factor of w and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 4 (c) 2\/547 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**4 - 26588791*r**3 - 2153*r**2 + 2*r + 277?\nAnswer: -48*r - 159532746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*t - 804, 2*o = -5*t + 4*o + 1014. What are the prime factors of t?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 191 + 3*q**3 + 11*q**3 + 16*q**3 - 191 - 29*q as m*q + t*q**3 + f*q**2 + v and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/(-8) - (-4)\/(-16). Suppose 20 = 3*b + b + 4*t, -2*t - 46 = -v*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 7:13 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(3) + 5) + sqrt(3))**2 - (4 + (sqrt(33)\/sqrt(11))**2))*6.\nAnswer: 180 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -130? (a) 1\/6 (b) -0.09 (c) -1\/2 (d) -391 (e) 1\/3 (f) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/18 - (696\/(-54))\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -32, 0, 8 in increasing order.\nAnswer: -32, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11345 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 38. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zftyqygq. Give prob of sequence qfz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.406131 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, 2\/5, -8535190?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49181 by -263.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 8*c**2 + 98*c - 86. Let j(t) = 52*t**2 + 636*t - 560. Let n(x) = 32*d(x) - 5*j(x). Determine l, given that n(l) = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 11 - 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u - 5*u - u)*(-3 + 3 + 1)*(-1 + 1 + u).\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 8*d**2 - 10. Let m = 14 + -9. Suppose m*x - 55 = 2*j + 13, x - j - 13 = 0. Calculate the remainder when q(7) is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 260?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13460, -28478, -43496, -58514?\n\"Answer: -15018*x + 1558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 1\/(-3))*-57. Let y = 80 + -82. Let c be (-114)\/(y + 4\/(-32)*-4). Calculate the highest common divisor of c and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6743115225 to the nearest integer?\nAnswer: 82116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -187 - -126. Let y = -30 - f. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**8\/168 - 17*m**7\/105 - 19*m**6\/60 + 17*m**5\/30 + 3*m**4\/2 + 1386*m**2. Determine b, given that g(b) = 0.\nAnswer: -1, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 + 6*p**4 - 2*p**4)*(2 - 3 + 6) - 3*p**4 - p**4 + 2*p**4.\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5689155, 5689158, 5689163, 5689170, 5689179?\n\"Answer: o**2 + 5689154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - n**2 - 4)*(-9*n + 2*n - 7*n)*(-n - 2*n + 2*n) to the form j*n**4 + y + x*n + r*n**2 + f*n**3 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 64.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85641*o**5 + 99217*o**2 + 1 wrt o.\nAnswer: -5138460*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.270118ml in litres?\nAnswer: 0.001270118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*s - 7 = -2*p, 0 = -4*p - 2*s + 26 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 20 = -2*p + 1, -3*p = -3*d. Sort p, -4, 62 in ascending order.\nAnswer: -4, p, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2333337 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3283*l - 195318 = 24643 for l.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 117*g - 12290. Determine m(105).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1178, -754, -330, 94, 518, 942?\nAnswer: 1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 253 = -f + 2*p, -2*p = -4. Suppose -x - f = -6*x + c, 2*x + 2*c = 26. Factor -2*i + 2*i**2 - 2*i + x*i**3 - 14*i**3.\nAnswer: 2*i*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 39 + 3 = -2*s, 0 = -h + 1. Suppose 4 = j, -3*j = c - s + 6. Calculate the greatest common factor of 9 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f**2 + 9*f - 9*f)*(0*f + 2 - f + 0*f + (-2*f - 2 + 2)*(3 - 3 - 2)).\nAnswer: -27*f**3 - 18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 23 = -z, 488 = 6*z - 2*z + 37*t - 170*t for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 3*a**2 + 7*a + 23. Let d be s(-3). Let v(j) be the second derivative of 0 + 1\/18*j**4 + 0*j**3 + 5*j + 0*j**d. Solve v(f) = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 0*n - 1\/120*n**5 + 0 + 1\/12*n**3 - 3*n**2 + 0*n**4. Factor q(l).\nAnswer: -(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 16 = -d, 4*j - 4*d + 3 + 5 = 0. Let t be (-3 - 0)*j + -6. Solve 0*i + 12 = t*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = 41*a - 47*a. What is the smallest common multiple of 18 and a?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 - 17 = -2*r. Let z be (2\/4)\/(2\/20). Suppose u - 5*y = z*u - r, u = -2*y + 24. Calculate the remainder when u is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6 - 10*t**2 - 1 - 5*t + 26*t**2 - 15*t**2. Suppose 3*u - 16 = -4. Determine o(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*u + 5, -5*u + 15 = -0*p + 3*p. Suppose 3*l + 2 = 4*l. Suppose -4*b - l*x + 21 = 3*x, -2*b - 5*x + 13 = u. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114473 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129634590 by 3.\nAnswer: 43211530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534558745 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138200 - -75549. Let k = t - -44651. What is k rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y - y - 3*y)*(-5 + 2 + 1)*(5 - 5 + 2)*(-2 - 1 + 1)*(8 - 4 + 5).\nAnswer: 144*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/2 - 87*t**3\/2 + 924*t**2 + 968*t.\nAnswer: t*(t - 44)**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 2*z + 141 + 50, 0 = -5*c + 2*z + 199. Suppose 0 = -6*b + 57 - c. Suppose 3\/7*v**b + 0*v + 3\/7*v**5 + 0*v**2 + 0 - 6\/7*v**4 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2620853 is divided by 4835?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 56.919ml?\nAnswer: 0.056919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 248118 to the power of 1\/2, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 100509225.1 rounded to the nearest 10000?\nAnswer: 100510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/(-20))*(7\/5)\/(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13174008, -13174014, -13174020?\n\"Answer: -6*h - 13174002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9974*x + 6*x**2 + 136*x**3 + 9974*x)*(0*x - 2*x + 3*x) to the form s + w*x**2 + p*x**3 + q*x + m*x**4 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224505949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4\/117*1)\/((-422)\/(-633))\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -3\/2 (c) 0.4 (d) 23606 (e) 1 (f) 2.1 (g) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x - 9. Let a(q) = -q**2 + q - 1. Let t(r) = -5*r**2 + 4*r + 16. Let w(p) = -4*a(p) + t(p). What is the remainder when w(0) is divided by n(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*n + 2*n. Let s(b) = -b**2 + 15*b - 9. Let v be s(n). Suppose v*r = 3*u + 30, 5*r + 5*u - 30 = -0*r. Are r and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -9 - (4 - 4). Let o(u) = -u**3 - 9*u**2 - 7*u + 10. Let z be o(b). Differentiate -4*m - z*m**4 + m**4 + 5 + 4*m with respect to m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/(4\/(-1778)*(-7)\/1).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 12*h**2 - 44*h + 24 = 0.\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**3 + 4644*c**2 - 238635*c - 6189972 = 0.\nAnswer: -1597, -19, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*z - j + 2, -5*j = 10. Suppose z = -2*x + 8. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, i: 3, f: 1, r: 1, m: 3, g: 3}. What is prob of sequence rgi?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 minus -38.3465679?\nAnswer: 38.3065679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5868 and 24450.\nAnswer: 146700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11)\/x)**(-19\/4)*(x**3)**(1\/18) assuming x is positive.\nAnswer: x**(343\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w - 2. Let i(g) = -14614*g - 5. Determine i(u(k)).\nAnswer: -131526*k + 29223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -264 + 267. Find the second derivative of 0*b + q*b - 6 + 18 - 15 - 89*b**3 wrt b.\nAnswer: -534*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*f + 74*f - 2646 = 0. Let r = f - 199\/2. What is the nearest to 86 in 3, r, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -14*10\/(-245)*28. Solve 0 = -2*p + v*p + 70 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 4*a - 51. Let y be j(-23). Suppose 387*s - y*s = 0. Solve -6 = 2*q, -2*v + 3*q + s*q + 19 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 3506514*f**2 + 1024324551648*f - 182440887502176.\nAnswer: 3*(f - 178)*(f + 584508)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 7*g**2 - 10*g. Calculate the remainder when 31 is divided by q(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8268.7 - 214538.4.\nAnswer: -206269.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b. Let n(d) be the first derivative of -5*d + 2. Let a(l) = l**2 - 1. Let p(i) = -5*a(i) + n(i). Give p(r(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w - 5*q + 71, 0 = 3*w + q - 67. What is the remainder when 10472\/833 - 8\/14 - -317 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 5 (c) -757 (d) 2 (e) -0.5 (f) 15 (g) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 48. Let t(d) = 3*d**2 + 4*d - 2. Let u be t(-2). Find the first derivative of -1 - c**4 - s*c**u + 48*c**2 wrt c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2172541 is divided by 63858.\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 17 = -v, -v + 3*p - 4*p = -1. Let f = 22 - 16. Let r be 27\/3*v\/f. What is the biggest value in r, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 20\/69, 4, -0.2?\nAnswer: 20\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13339349*p - 11975458.\nAnswer: -13339349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (68\/20)\/(-3 + 2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + -132. Let j be ((-15)\/(-6) + -1)\/((-42)\/x). Solve f + j = 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4085.09cm to meters.\nAnswer: 40.8509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/38 and 33\/112?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -11 - z**2 + 7 - 22*z - 4*z - 6. Let r be g(-25). Solve -r = -33*m + 36*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k - 84 = -26*k. Let y be 1\/k - (-45)\/(-108). Which is the nearest to 1? (a) y (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 2*y - 16 = 3*k, -2*y + 22 = 4*k. Find the second derivative of -2*n**4 + 15*n - k*n**4 - 16*n wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 - 84 + 84 + (-b - 2*b**2 + b)*(b - 3 + 3) - b**2 + 4*b**3 + b**2.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 977926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1258 (b) 2\/7 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*d + 0 = 8, -4*q - 6 = 3*d. Suppose -p - 2 - 10 = -3*l, q = 5*l - 4*p - 13. Solve -5*f - 2*o + 12 - 30 = 0, 0 = -3*f - l*o - 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/(-240) - 6\/45\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 12\/23 (b) -0.5 (c) 2\/3 (d) -1\/4 (e) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002624 rounded to seven decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40427 is divided by 19779?\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -c + 48. Let a be ((-194)\/(-4))\/(4 + c\/4). Let t = 123 - a. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m - 438*m**3 + 440*m**3 - 9*m**2 + 6 + 9*m**2 as b*m + o + x*m**3 + n*m**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3607, -56, 4, -1, 2, -2 in descending order.\nAnswer: 3607, 4, 2, -1, -2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2\/9, 7\/6, -2\/5, -0.1 in increasing order.\nAnswer: -2\/3, -2\/5, -2\/9, -0.1, 7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 39 = -11. Suppose -29*z + 265 = 24*z. Let h = 13 - 11. Solve -c = -h*f, f = z*l - f + 25 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 3)*(3 - r - 3) - r + 0*r + 2*r + 2*r + 2*r - 5*r - 3*r + r + 0*r + (-5*r + 2*r + 2*r)*(3 + 1 - 2) + 2*r - 2*r + r)*(1109 + 1202 + 1134 - 3694).\nAnswer: 498*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 4*q + 1. Let g(r) = 1 - 5*r - 1 - 1 - 2*r**2. Let u = 21 + -16. Suppose 5*d + u = 3*c - 21, -3*d - 3*c = 6. Calculate d*y(b) - 3*g(b).\nAnswer: 2*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 9*x**2 + 13*x + 262. Give d(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7366*c**3*t - 2*c*f**2*t + 2*c - 346*f**2 - 2*f*t + 62*t wrt c?\nAnswer: -22098*c**2*t - 2*f**2*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 50*g + 184.\nAnswer: (g - 46)*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*x - 15, x - 5 = -4*j + 3. Solve y + 17 = -4*a, j*a + 2*y = -0 - 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 divided by 53\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-2)\/sqrt(3))\/(sqrt(2) + sqrt(32)*5).\nAnswer: -2*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -701 and 1.71?\nAnswer: -1198.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -311986 by -39.\nAnswer: 311986\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + 2 + -3 + sqrt(75) + -2*(2 + sqrt(75)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 8, 0, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 = 3*a - 2*a, -4*k = 3*a - 21. Let l = -4 + 6. Suppose -l*j = -k*j. What is the closest to j in 5, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 149424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - 0.5. Let i = 2.7 + -3. Which is the closest to -1? (a) i (b) -2\/21 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/152 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 10*l + 5. Suppose -2 - 6 = -s. Let w be p(s). Let i be (-11)\/12 - (-14)\/w. Put 1, 2\/21, i in ascending order.\nAnswer: i, 2\/21, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -3, 1, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2358447\nAnswer: -4\/2358447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a century in months?\nAnswer: 12480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/132043 and -54\/21121139?\nAnswer: 485786197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1158*s + 2118*s - 286859 = -37883 for s.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27291 and 3993.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*p + 25*p - 40. Let d = 43 - p. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24360 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**5\/30 - k**4\/12 + 2*k**3\/3 + 30*k**2. What is the hundreds digit of m(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 76 - 120 = 0. Let p be u\/98 + (-72)\/154. Sort 4, p, 3, -2.\nAnswer: -2, p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 4*c + 129, 5*x + 5*c = -29996 + 29791 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Let t(o) be the second derivative of -1657*o**4\/12 + 608*o. What is t(v(a))?\nAnswer: -1657*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03752 to three dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-34)\/(-228))\/(6\/(-48)) and ((-9)\/1944*-354)\/(-3 + 2).\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1057143795 divided by 1718933?\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**7\/5040 - v**6\/360 + 11*v**5\/30 - v**4\/12 + 135*v**2. Let n(t) be the third derivative of a(t). Calculate n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 + 111. Suppose 3*y + 0*o = -o + 2235, -y + u*o + 745 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-5))\/((-196)\/3430). Suppose 3*o = -5*l - 2*o - 185, 4*l + 156 = 4*o. Let y = c - l. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - -17 - (-2 - 12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 7:39 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.193 - -2.323. Let g = y - 0.13. Let k = g - -12. Which is the closest to k? (a) 0 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5, 0*k + v = -3*k + 199. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from jpyjjssjjjjept?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14651601*b**2*n**3 - 18996*b**2 + 316 with respect to n.\nAnswer: -43954803*b**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 + 58. Let p(g) = 5*g**2 + 1. Give p(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2 = u - 1, 4*u + r + 1 = 0. Suppose u = 106*f - 102*f. Suppose f = -7*z + z + 24. Solve -3*i - 2*i + 11 = z*c, c = i - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9067a (base 16) to base 8\nAnswer: 2203172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + 2 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 - -74. Let w = 46\/11 + -344\/77. Is w greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - z + 20*z)*((2 - 4 + 3)*(-z + 6*z - 4*z) + 6*z - 3*z - 2*z).\nAnswer: 44*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21387.\nAnswer: 3, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1, -0.4, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s - s + 2*s + 4*s. Let v(f) be the second derivative of -4*f**3\/3 + f. Calculate h(v(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(27*p + 378 - 342 - 31*p).\nAnswer: 4*p - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2\/5 - 2704*x\/5 + 5416\/5 = 0.\nAnswer: -1354, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 26 + -4 - (188 + -213).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - 4*c + 4*c)*(4*c**2 - 2*c**2 + 0*c**2) - c**5 - 6*c**5 - 2*c**5.\nAnswer: -11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*a + 48*a + 54*a + 286*a - 436*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 - 0.8. Let z = 131.6 + -131.4. Sort -1\/3, z, c in descending order.\nAnswer: z, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247295199.\nAnswer: 31, 83, 484763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 9. Let h(a) = -1 - 4 - 3*a**2 - 4*a**3 - 3*a + l + a**3. Let w be h(-2). What is the highest common divisor of w and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + (-7 - (10 - 11))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 66 - 490. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5))**(-3)\/(t**(-1\/2))**(-27) assuming t is positive.\nAnswer: t**(-147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4\/5 + 534804*n**3\/5 + 72157734*n**2\/5 + 2470540044*n\/5 + 2398917111\/5 = 0. What is n?\nAnswer: -178133, -67, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 6. Let g be u(-6). Suppose g = 2*j - 72 - 0. Suppose -2*m - 3*k + 35 = -4, -3*k - j = -3*m. Solve 3*z = -15, 2*z - m = -2*r + 3*z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1847 + 3786. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -38. Suppose 2*t = -n - t + 378, r = n + 4*t - 377. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -125*r - 8. Let p(t) = 4*t + 2. Determine -g(u) - 3*p(u).\nAnswer: 113*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3. Let x = 64 + -33. Suppose -4*j + 5*y + x = 8*y, 2*j = -3*y + 23. Let g(c) = -j*c - 11 + 10 + 5*c. What is -g(r) + k(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 571772 and 2676.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6118 (base 11) to base 8.\nAnswer: -17676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*i - 3*i. Suppose 3*t + i*t - 70 = 0. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 h, and 1 e when four letters picked without replacement from {d: 3, q: 1, h: 4, t: 5, e: 1}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -981 plus -3600?\nAnswer: -4581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 m when four letters picked without replacement from {m: 13, x: 5}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/4, 0.07, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59830 is divided by 144?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/4928 and 167\/717024?\nAnswer: 1434048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 42*p**2 + 5*p. Let l(i) = -5*i**2 - i. Let d(j) = -h(j) - 5*l(j). Let m(z) = z**2 - 4*z**2 + 0*z**2. Give d(m(v)).\nAnswer: -153*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*a + 29 = a, w - 24 = -5*a. Let x(h) = 17*h**2 - 3*h - 4. What is the smallest common multiple of x(w) and 180?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - 3*f**3 - 7*f**3 + 2*f + 5*f**3 in the form i + o*f + p*f**2 + c*f**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71693521187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 63, 130, 209, 294, 379, 458, 525?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*-14*5502\/(-8232).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1007 and -21916.\nAnswer: -22069412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110219456.\nAnswer: 2, 19, 90641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 3 + (-269)\/4. Let t = -73 - x. What is the common denominator of t and -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + 7*6\/6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7 + 5 + 5 - 90907*z. Let s be f(-11). Suppose -2*n = -l + 3*l + s, 15 = 5*n. What is l rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 11*o**2 - 5. Let p be h(-11). Let i(b) = -b**3 - 5*b**2 + 4. Let a be i(p). Solve 0*n + 4 = a*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106352 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -63, -158, -323, -576, -935, -1418?\nAnswer: -2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2148\/1432*-6*(-8)\/(-156).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -322 - -634. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (28 - (-1 + 12))) + 80\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 104098434.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 147\/11 - 148\/11. Let t be 8\/(-4) - (-1)\/(-4). Let u = 7\/4 + t. Which is greater: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6417.462 millilitres in litres?\nAnswer: 6.417462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34935 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 4.5, -0.082, 5 in ascending order.\nAnswer: -8, -0.082, 1, 4.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 0*p**4 + 0*p**3 + 0 + 4*p**2 + 0*p + 1\/20*p**5. Let d(h) = -h**2. Calculate a(d(i)).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8934\/11 + 33347\/33. Does 197 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229449502?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 90*m**2. Let z(b) = -86*b. Calculate z(h(o)).\nAnswer: -7740*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615136?\nAnswer: 2, 47, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*c - 3*c, -2*n + 4*c = 0. Let o = n - -11. Calculate the smallest common multiple of o and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 - 126. Differentiate -48*b**3 + 12 - 3 - b**t wrt b.\nAnswer: -147*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 80?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16443470 is divided by 2740578.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.1 * 0.148.\nAnswer: 1.0508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/70)\/((-4)\/(-10)). Let t = 871.8 - 1043. Let h = 171 + t. Which is the third biggest value? (a) h (b) -17 (c) -1\/2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1471.02 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*l**2 + 63*l**2 - 30*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 101403424?\nAnswer: -101403420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/15*2*(-456 + 461). Solve -2*a + 6 = i*j, a = 2*j - 0*a + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1852*c**2 + 13209*c**2 - 2.\nAnswer: 15061*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q. Let j = 47 + -43. Let r(h) = 6*h - 2*h - 3*h + 1. Let k(z) = 4. Let u(f) = j*r(f) - k(f). Give u(d(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -71, -67, -63, -59, -55?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 2:31 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((((-2*sqrt(132) - sqrt(132)) + sqrt(132))\/sqrt(6) - sqrt(22) - sqrt(22)) + sqrt(22))\/sqrt(11))**2.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -803 or -5\/453?\nAnswer: -803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 6*o + 5*o - 4 - o**2 - 5*o. List the prime factors of p(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36 + -598?\nAnswer: -634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 1\/6*u**3 + 0*u + 0 + 13\/96*u**4 - 3*u**2 + 1\/240*u**6 + 11\/240*u**5. Factor m(k).\nAnswer: (k + 1)*(k + 4)*(2*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.9 + -35.8148. What is k rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-7 + (-48 - -35))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -5835*f**2\/2 - 5622*f - 4820. What is the first derivative of v(j) wrt j?\nAnswer: -5835","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16700403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-3987696.\nAnswer: -11963088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ggzwwgzxgwizgwiw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 165 + -163. Let z be (-4)\/6*6 - -3. Let m = 0.018 - -0.982. Which is the closest to m? (a) z (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21252 + 1057?\nAnswer: 22331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s - s - 9*s - 9*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 5, -5.\nAnswer: -5, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/935319 or -1?\nAnswer: 2\/935319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-5)\/b)\/b)\/(b*b*b*b**(-13)))\/((b\/((b**3*b)\/b)*b)\/b)**(-3\/5) assuming b is positive.\nAnswer: b**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u + 18 = 30*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 23061 + 82209. What is the greatest common factor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21266.42 rounded to the nearest ten?\nAnswer: -21270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**2 + y**5 + 2*y**2 + 2*y**2 - 3*y**3 + 3*y**3 + y**5 + (2 - 2 - 2*y**3)*(y**2 + 1 - 1) + 0*y**5 + 2*y**5 + 0*y**5.\nAnswer: 2*y**5 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2739 is divided by 153?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 0*a**2 - 531*a**3 + 267*a**3 + 270*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230222 - -31?\nAnswer: -230131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 1600.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -492*k + 10057. Let y(q) = -q**2. Determine z(y(w)).\nAnswer: 492*w**2 + 10057","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k - 1. Let y(d) = -7*d + 2. Let u be -3*4\/(-12)*-4. Let a be 6\/((u*3)\/(-4)). Let g(i) = a*y(i) + 5*t(i). What is g(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.05, -2\/5, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292919 + 292919 - 16*l**2.\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w - 33 = -69*w - m, 5*w + 145 = 4*m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139746?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 11:56 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -365 (base 10) to base 13\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 1652. Does 5 divide o(51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.915 to one decimal place.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + sqrt(168)\/(3*sqrt(7)))*6)\/(3*sqrt(72)\/sqrt(6)*5).\nAnswer: 8*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(1 - 50720\/50750). Calculate the greatest common factor of j and 875.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205424488.\nAnswer: 2, 281, 91381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h - 14*h - h + 6*h - 23*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-2) + 3487\/22 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1 - -5) - (-138)\/(-18)) + 13\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1129492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54\/11? (a) 5 (b) 0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from armaaammmmmauuamarm. Give prob of picking 1 u and 2 a.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -20*a - 3. Let d be o(-3). Suppose 5*j + t = d, 0*t - 8 = -4*t. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35)\/2*-4 + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 100000?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2 = -1. Let s = -5 - -7. Let a be ((0\/(-3))\/1)\/s. Sort a, 0.4, r in ascending order.\nAnswer: a, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 253*z = -50*z + 15290 for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 12:37 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 x when three letters picked without replacement from {k: 4, x: 5, h: 2, u: 5, t: 3}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 9*i - 7533 = 0, 7*i = -3*p + 11*i + 7548. What is the lowest common multiple of 720 and p?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-12)\/7 + (-444)\/1554. Let x = 0.35 + -0.35. What is the smallest value in -6\/11, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/6)\/((-2)\/4). Suppose 0 = 2*i - j - 19. Let f = -7 + i. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -13, -8, 13, 56, 127, 232, 377?\n\"Answer: g**3 - g**2 - 9*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 637009 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4605*u**2 - 54*u - 4601*u**2 + 54*u.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-32)*i*i**(-2\/5)*i assuming i is positive.\nAnswer: i**(-147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f + 30 = 0. Let h = 146 + -148. What is the closest to f in h, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 368425+44.18241\nAnswer: 368469.18241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-6 - 0)) + 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(72)\/sqrt(6)))\/(sqrt(324) - -3*sqrt(324)).\nAnswer: sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50129897.\nAnswer: 1567, 31991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + t. Let p be i(2). Suppose 5*l + 4*x - 6 = 8*x, l = -2*x - p. What is the second smallest value in l, 2\/11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 21 - 9 = 0. What is the second derivative of -5*a + 2*a**4 - 2*a**l + 18*a - a**4 wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2600?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65133 is divided by 397.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -120*n + 10440. Give r(90).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 19*d**2 - d. What is the remainder when 1066\/10 + (-14)\/(-35) is divided by j(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -116, -397, -948, -1859, -3220, -5121, -7652?\nAnswer: -10903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -5453545?\nAnswer: -5453543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31706108 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1dfe9c (base 16) in base 9?\nAnswer: 3625417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1044 is divided by 256.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422*m + 427*m + 4*c = -471, -5*c = -30. What is the closest to m in 4, 0.4, -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 25 = 15. Suppose 2*o + 12 = p*o. What is the remainder when 11 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 14 = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20280568?\nAnswer: 2, 7, 11, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 246, 254, 266, 282, 302, 326?\n\"Answer: 2*x**2 + 2*x + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 571289?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202 + 202. Suppose f = -9*t + 21 + 123. Calculate the remainder when 173 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 1, 2, -0.065 in ascending order.\nAnswer: -0.065, 1\/9, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 559675 and 414556?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (242\/55)\/(-11) - 44\/(-10). Solve -4*s - 4*g - 12 = 0, 2*g - 4 = s + w*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89\/133 - -10\/19. Let m be ((-3)\/(-2))\/((25\/(-10))\/(-5)). Put c, -0.7, m, 2\/17 in descending order.\nAnswer: m, 2\/17, c, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) -120 (c) 112 (d) 1\/4 (e) -66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -2*p - 11 + 1, 0 = -5*p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8827480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 68 - (-4 - (2 - -1)). Let v = 130 - h. Calculate the remainder when v is divided by ((-3)\/4)\/(1\/(-20)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.90121 - 2.59218?\nAnswer: -9.49339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/13)*f)\/f**(1\/3)*(f\/((f\/f**4*f)\/f))\/f*f**(-1\/5)\/f*f)**(-22\/3) assuming f is positive.\nAnswer: f**(-19822\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 9. Suppose 0 = -4*b + q + 19. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -16.3. Let y = -2 + 17\/9. What is the closest to -0.1 in y, 3, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.23 + -1.43. Put -0.5, 4, 0.5, x in descending order.\nAnswer: 4, 0.5, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 33 = -3*d, 95*m = 12*d + 96*m - 69 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431051 (base 7) in base 4?\nAnswer: 232333023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 535\/18 - 59\/2. Let l = -3 + 3. Which is the closest to l? (a) t (b) 0.4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4503644*m**2\/7 + 22518222*m\/7 + 10\/7.\nAnswer: 2*(m + 5)*(2251822*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**(-6\/5))*(d*d*d*d**(-1\/6)*d)\/d assuming d is positive.\nAnswer: d**(121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(75\/(-80)))\/(8\/12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281062016.\nAnswer: 2, 283, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.33 + -32.67. Let s = f + 34.3. Round s to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -300 + 510. Let a = -206 + g. Solve -3*y + 20 = -2*s, 0*y + a*y = s + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 12:53 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603492772 a multiple of 5574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*a - 18*a**2 - 45*a + 3*a**2 to h + c*a + w*a**2 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 3003?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -283467413 to the nearest 100000.\nAnswer: -283500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 18 = -3*x + 6, 2*y = x - 1. Let r = 537\/2 + -297. What is the common denominator of 9*x\/(-6) + 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*i - 555, 3*i = 221 - 212. Solve c*g = 175*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1972*f + 26807. Give j(-12).\nAnswer: 3143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1105, 4291, 9609, 17065, 26665?\nAnswer: 38415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/5 (b) 91\/6 (c) -17 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7684 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 2*h**3\/3 + 9. Let k(o) = 4*o**2. Calculate k(i(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - (4 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**6\/120 + 2*b**5\/15 - b**4\/24 + 11*b**3\/6 + b**2. Let p(g) = 10*g - 212. Let d be p(22). What is j(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/(-196) - 33\/42)\/((-6)\/(-56)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1537 + 1538. Let p(l) = 61*l + 3. Give p(b).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from zmjmqgmmjjj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1004 (base 5) to base 2\nAnswer: 10000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/27 (b) -0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*w**2 + 13*w**2 - 16 + 14*w**3 + 10*w**4 - 35*w**3 + 19*w**3 wrt w.\nAnswer: 240*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 206311*k + 5157789. What is f(-25)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.183 * 3867\nAnswer: -707.661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-3)*(5 + -4) - 5. Let p = 30 + -36. What is the fourth biggest value in u, 2\/11, p, -3\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 768, 7.\nAnswer: 7, 18, 768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 7*t - 1. Suppose 48 = -3*w + 123. Suppose 5*i + 4*s - 36 = 0, 8*i = 5*i + s + w. Is v(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26026289 is divided by 791?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 25 = -6*v. Suppose v*k - 584 - 501 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 618.1 - 618.62. Put -2\/7, c, -7, 0 in descending order.\nAnswer: 0, -2\/7, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 582 - 312. Suppose g = -l + 4*l. Suppose -i = i - l. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319505201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y - 219. What is the remainder when 54 + 0 - 12\/(-3) is divided by w(-47)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*j**2 + 7*j**2 - 8*j**2)*(j**2 + 2*j - 2*j).\nAnswer: -19*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y = -4*i + 703, 0 = 4*y - i + 920. List the prime factors of (-12)\/(-42) + y\/(-7).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7528?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bc85f (base 16) in base 12?\nAnswer: -739827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i - 147. Let l be z(29). Which is the fourth biggest value? (a) -5 (b) l (c) 3 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*j + 3 - 13 = 0, 21 = y + 2*j. Suppose y = -a + 32. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 5*v + 20, -4*q - q + 20 = -4*v. What is the third derivative of -3*j + 282*j**2 + 3*j - 304*j**2 + 13*j**q wrt j?\nAnswer: 312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25160 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1008)\/54 + 12)\/((-12)\/(-9) - 2). Solve -2*y - 3*x = -2, x = -11*y + 8*y + t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/14, 2, 0.4?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 9:03 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*r + 4 + 11, 5*q = -2*r + 11. Let l = -4 + 1. Let a = 8 + l. Calculate the least common multiple of a and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.08 - -0.48. Let j = h + 13. Which is the third smallest value? (a) 0.1 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 421775776*k**4 - 33472425?\nAnswer: 1687103104*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1584?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-288)\/(-360) + 34\/(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 62*g - 1297 - 36*g + 42*g - 2227 + 4536. Calculate h(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**5\/5 - 66742*c**4\/5 + 66746*c**3\/5 + 66742*c**2\/5 - 66744*c\/5 = 0.\nAnswer: -33372, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhdhhd. What is prob of sequence hdh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*(d*d**3)\/d*d))\/d*d\/(d**(-1)*d))\/((d**0\/d*d*d)\/(d\/d**(-3\/5)*d)) assuming d is positive.\nAnswer: d**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - r = -4, 2*t - 13 = -t - 2*r. Solve 20 = -10*u + t*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 0*p - 7 - p**3 + 4*p - p**2 + 6*p**2. Suppose -5*v - 4*c + 45 = 0, 2*v + 3*c + 2*c = 7*c. Calculate t(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9*o - 22. Let h(s) = 11. Calculate -5*h(m) - 3*n(m).\nAnswer: -27*m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 0*t**2 + t**2 - 3*t**2. Let m(r) = -9*r**2. What is o(m(b))?\nAnswer: -81*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -60 + -6874?\nAnswer: -6904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7792042 (base 10) in base 6?\nAnswer: -435002134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2 - 0. Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 23 + 16. Suppose -d - 2*x - 72 = -4*d, 2*d - 5*x = 48. Calculate the remainder when d is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.234.\nAnswer: -0.0702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4\/3*j - 2\/9*j**2 - 2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**3 - 5*w + 5. Suppose 8*k - 3*k + c - 23 = 0, 5*k - 4*c - 8 = 0. Let h(u) = 7*u - 5*u - 2 + k*u**3 - 5*u**3. Give -15*h(x) - 6*m(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168507484 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -624514 = -15*h + 13*h + 4*d, 3*h - 2*d - 936739 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*y = 43, 10 = 3*y - 2. Solve -8 = -x*t + 33*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4143760 is divided by 133669?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6349 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/60 and 31\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by 150\/(-15) - -18 - -66?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1001)\/44*((-4)\/2 - 2). Let o = t + -87. Calculate the lowest common multiple of 22 and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 424781*d - 11268 wrt d?\nAnswer: 424781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 48*s. Let o be n(0). Suppose 0 = -4*w + 2*b + 16, w - 5*b - 18 = 2*w. What is z in -1\/2*z**w + o + 0*z - 1\/6*z**3 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 47, 51?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -4 (c) -3 (d) -0.4 (e) -90365\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4 - 12180*w**3 - 9*w**2 + 36546*w - 24360 = 0. Calculate w.\nAnswer: -2, 1, 4060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -745 + 786. Solve 39*d + 2 = t*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -46 - 20) + -11 + 16\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 39*o + 288. Let l be c(15). Which is smaller: -73 or l?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -247, -250, -255, -262, -271?\n\"Answer: -j**2 - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 110 - 114 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**3 - a**2 + a + 1. Let p be o(2). Factor -p*q**2 + 3*q**3 + 5*q**3 + 2*q + q**3 - 2*q**3.\nAnswer: q*(q - 1)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*i = 11, i = 2*i - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -12.8. Let a be (40\/(-45))\/((-2)\/(-3)). Sort z, a, -3 in decreasing order.\nAnswer: z, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggggggga?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/7))**(3\/44))**(-1\/4) assuming i is positive.\nAnswer: i**(3\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8188041269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 6, 4*b + 109726 = -b - 2*y. Is (-1)\/5 + b\/(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*c - 1 = -5, -4 = -o + 2*c. Let z be 0 + (-48)\/(-3) + o. Suppose -3*j = -z, -5*g - 3*j = -8 - 29. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0 - 4. Let o = 1 + -6. Let p = o + 5.1. Which is smaller: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-8)*(j*j*j\/(j**(-2)*j)*j*j)\/j)**(9\/4))**32 assuming j is positive.\nAnswer: j**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11044053047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j + 7 - 19 - j. Let a(t) = 20 - 69 + 3*t + 9 + 22 + 21. Calculate -9*a(k) - 2*r(k).\nAnswer: -3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211811.\nAnswer: 211811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + sqrt(6)\/(sqrt(6)\/sqrt(2) + sqrt(3)).\nAnswer: sqrt(2)\/2 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-42)\/35)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -184256405 and 0.6?\nAnswer: 184256405.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1042*t - 225*t - 65 - 367*t - 223*t - 218*t.\nAnswer: 9*t - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z. Let w(y) = -y**2 - 5*y + 8. Let h be w(-6). Let u(a) = -5 + 3 + 12*a**h + 2. What is u(i(n))?\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 17 = -3*b - 3*l, l = 3*b - 9. Let t = -15 + 30. Let z = -10 + t. Solve q = b*q - z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13152)\/20 + -3 - (-6)\/10. Let u be i\/18 - (-3)\/(-9) - -3. Is u smaller than -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57319981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3854*c**3*o - 2301*c**3 + 3414*c**2*n*o - c**2*n + c - 2417*n wrt o?\nAnswer: 3854*c**3 + 3414*c**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-625)\/(-1750) - (1110\/(-56))\/(-3)?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-7) + (-1001)\/(-1911). Is -1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 4*h**2 + 6*h - 9. Let m be v(-6). Suppose t - m = -2*t. Suppose t = 5*l - 1. What is the least common multiple of l and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 235, 239, 245, 253, 263?\n\"Answer: a**2 + a + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = 4*x, 0*q - q + 5 = 5*x. Suppose -5*t + 40 = q*t. Suppose -t*m + 9*g = 13*g - 872, 2*m - 415 = 5*g. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1080665 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5403071 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*z - 212 = 0, -z + 4*z - 102 = -2*w. Suppose -17*y - 448255 = -w*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 37 - 6*k**2)*(3*k**3 - k + k) - k**5 - 2*k**5 + 2*k**5.\nAnswer: -19*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**6\/90 + 7*l**5\/30 - 2*l**4 - 17*l**3\/3 - 10*l**2. Let f(p) be the first derivative of s(p). Determine r so that f(r) = 0.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (0 + 0)\/3. Let q(j) = j**3 + 3*j**2 - 8*j - 12. Let k be q(-4). What is the nearest to u in 5, 2\/17, k?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 s when three letters picked without replacement from {s: 15, t: 4}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 381356904 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -331*u**4 - 158355*u + 396219337 with respect to u.\nAnswer: -1324*u**3 - 158355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27144)\/(-432) - 27)*(0 - 6\/(-20)) - -8.\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 12:07 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awkwkwaawwaww. Give prob of sequence waw.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1244 - 1112101?\nAnswer: -1110302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1468 divide 131793342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlullllluwlllllluwwl. Give prob of picking 1 u and 1 w.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppxp. What is prob of picking 2 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**8\/20160 - o**7\/1008 + 7*o**6\/720 - o**5\/60 + 9*o**2. Let r(t) be the third derivative of v(t). Give r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i*(i\/((i*i*i**(-2\/5)\/i*i)\/i))\/i)\/i*i)*i**(-2\/19))**(12\/11)*(i**(3\/2)\/((i\/(i**0*i))\/i))\/(i*i**0*i*i*i)**(-6\/25) assuming i is positive.\nAnswer: i**(30397\/10450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = z + 4*g, -33 - 2 = -4*z - 5*g. Let a = 2 + z. Calculate the lowest common multiple of 2 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4, 0 = -4*s + 4*v + 48 - 8. Let f be (18 - s)*3\/6. Suppose d - 65 = -2*t, -3*d - f = -2*d. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 317\/110 + -46\/11. Let z be 85\/585*83 + -1. Let u = z + -190\/13. Find the common denominator of m and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 505\/303*3\/5. Let v(j) = 5*j**2. Let s be v(1). Sort 2, l, s in decreasing order.\nAnswer: s, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 f when four letters picked without replacement from {f: 13, m: 5}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 189? (a) 0.05 (b) -3 (c) 0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5949856?\nAnswer: 2, 11, 16903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69349925.\nAnswer: 5, 2773997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8617253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 5 + 23 - 34)*(21*s**4 + 45*s**4 - 22*s**4).\nAnswer: -2244*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 - 1858*t\/9 - 1852\/3.\nAnswer: -2*(t + 3)*(t + 926)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t\/(t*t**(3\/25)\/t))*t**(-43) assuming t is positive.\nAnswer: t**(-1047\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 3135973753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19411*c**2 - 928*c?\nAnswer: 38822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1240103 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8748743 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 908 + 2498 = -262*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 2 - (7 + -11) - 159. Let a = x - -163. Solve -2*r = 5*b + 33, -a*b - 12 = 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117509, 117493, 117469, 117437, 117397?\nAnswer: 117349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + k**2 + k + 11. Let w be p(0). Let n be 2 - (-2)\/((-8)\/w). Let j = 14 - 14.1. Is j equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1492\/1235 + 2\/247. Which is the nearest to 0.2? (a) m (b) 0.1 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -12735*k**2. Let y(s) = -271*s**2. Give 6*b(j) - 283*y(j).\nAnswer: 283*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -404*n - 21. Let z(j) = 1809*j + 83. Let a(y) = 9*h(y) + 2*z(y). Calculate a(1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fffeonefnofssff.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542500.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 u, and 1 i when three letters picked without replacement from iuhhu?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/13 - 1631226*r\/13 - 141931800\/13.\nAnswer: 2*(r - 815700)*(r + 87)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 12*m - 9*m + m + 4*m - 3*m + (5*m - m - 3*m)*(3 + 0 - 1))*(-1 - 1 + 3).\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11700 - -11704. Which is the second biggest value? (a) -7\/6 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3625, 7234, 10841, 14446, 18049, 21650, 25249?\nAnswer: 28846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 129*v**2 + 132*v - 2. Let p(a) = -177*a**2 - 198*a + 3. Let w(t) = 7*m(t) + 5*p(t). Let b(k) = 3*k**2. Determine w(b(d)).\nAnswer: 162*d**4 - 198*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 56. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/3)\/4)\/((-4)\/57*-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 28, 2, 9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 6 = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34967, 34073, 31643, 26909, 19103, 7457, -8797, -30427?\n\"Answer: -128*y**3 + 2*y + 35093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = -0. Let o(q) = 37*q**2 + 9*q - 2. Let u(g) = 13*g**2 + 3*g - 1. Let f(s) = 3*o(s) - 8*u(s). What is the tens digit of f(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 74*d + 1011. Let w be a(15). Put 4, 0, w in decreasing order.\nAnswer: w, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y\/(y\/(y**(2\/3)*y)))))\/y)\/y*y\/y**(-2\/15)*y*y*y**(-1\/3)*y**(-3))**28 assuming y is positive.\nAnswer: y**(-224\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -27832 (base 11) in base 15?\nAnswer: -bb02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 65 = 4*o, o - 3*w = -0*w. Find the common denominator of -71\/10 and ((-79)\/(-5))\/((-66)\/o).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjfjjjfjjffjf. What is prob of picking 2 j?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131*y**2 + 25*y**4 + 131*y**2)*(-23 + 23 + y) + 3 + 2*y**3 - 3 - y**5.\nAnswer: 24*y**5 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/9*h**2 + 2\/9*h**3 + 4\/9 + 10\/9*h.\nAnswer: 2*(h + 1)**2*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**4\/4 - t. Let z = -1 - -3. Let r(n) = 1 + 4*n**z - 1 - 2*n**2. Calculate i(r(l)).\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 take away 1494.7097?\nAnswer: -1535.7097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 - 2\/(-5). Suppose 8*h + 59*m - 56*m = -37, -m = -1. What is the nearest to g in -12, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000710802 rounded to seven decimal places?\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 92*y - 56 + 23 + 5*y - 36. Let q be r(5). What is the greatest common factor of 32 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 8 = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -13\/56, 0.1.\nAnswer: -13\/56, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 2*h - 3*h)*(0*h**2 - 2*h**2 - h**2 + (0*h + 3*h - 5*h)*(-4*h + 5*h - 2*h)).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (24\/(-9) - -2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - o**2 - 6*o**2 + 3*o**2 - 3*o**2 + 3*o**2 - 3*o**2 - o**2 + (0*o + 2*o - o)*(2*o - 2*o + o) + 5*o**2 - 2*o**2 - o**2 + o**2 + 11*o**2 - 5*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1141*j**2*p**4 - 24*j**2*p**2 - j**2 - 3*p**2 wrt p?\nAnswer: 27384*j**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**2 + 9*y**2 + 12*y - 12*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -62*a**2 - 8*a. Let b(o) = 61*o**2 + 7*o. What is -5*b(d) - 4*u(d)?\nAnswer: -57*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22434*0.4\nAnswer: -8973.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 + 83. Suppose 0 = -f + 7 - 2. Suppose -f*l + i + 7 = 0. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + 7)*5\/(-10) - (-12090)\/390?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1.4 (b) -1\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689100 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: Simplify (a**(3\/5))**(-4\/19) assuming a is positive.\nAnswer: a**(-12\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4)\/(q**(-14)*q)*((q\/((q*q*q**(-18)*q*q)\/q))\/q)\/q*q\/(q**4\/q*q) assuming q is positive.\nAnswer: q**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12280, 24538, 36786, 49018, 61228?\nAnswer: 73410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d + 23. Let u be z(11). Suppose -3*c - 10 = -u, 0 = -s - 3*c - 9. Solve s = 2*b - b + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*w + 322. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 4\/3, 0, -1\/3 in ascending order.\nAnswer: -1\/3, 0, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -290222 + 3?\nAnswer: -29021a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 528856.9 rounded to the nearest 100?\nAnswer: 528900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114193*z + 450 = -114283*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90505869 to the power of 1\/2, to the nearest integer?\nAnswer: 9513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n**2. Let z(o) = 21*o**2. Let h(s) = 18*w(s) + 4*z(s). Let i(r) = 13*r**2. What is h(i(a))?\nAnswer: -1014*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 14*y - 106. Let q be p(10). Let v(o) = o**3 + 3*o**2 + 5*o + 4. Let w be v(-4). Let t be q\/24 - (-24)\/w. What is the third biggest value in -8, 2, t?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17808248 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -30 - -21 - (7 - 18). Determine t, given that -4\/3*t**r + 14\/3*t - 4\/3 - 2*t**3 = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 768, -13.\nAnswer: -85, -13, 768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*q - 5662 = -218*q + 6882. Calculate the lowest common multiple of 64 and q.\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/(-90)*4092\/8. Calculate the highest common divisor of d and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/4968120 and -34\/1187555.\nAnswer: 541525080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g + 28. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9159*p + 9135*p + 399 - 396.\nAnswer: -24*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -46. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g - 220. Let r(q) = 14*q - 441. Give -5*f(t) + 3*r(t).\nAnswer: 2*t - 223","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 + -0.079?\nAnswer: -0.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**3 - 3*i**4 + 11 - 2*i - 6 - 3 + (-i + i - 2*i**2)*(-i**2 - 3*i**2 + 5*i**2) in the form p*i**4 + j*i + r + k*i**3 + q*i**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 5. Let s be x(-9). Suppose 4*u = 4*g - 12, -6*u - 5*g = -2*u - 33. What is the greatest common factor of u and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 1. Let s(j) = -j**2 - 2*j - 7. Let g(l) = -s(l) + 4*x(l). Let t be g(2). Is t <= 8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m. Let h(r) = -49*r. Determine q(h(i)).\nAnswer: 294*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Suppose b*s - 14 = -0*s. Calculate the highest common divisor of 35 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**3\/3 - 12*p**2 - 3*p + 721. Give d(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49b31 (base 14) to base 6\nAnswer: -3511531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 13 - 24 + q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 20, 0 = -c + 5*l - l - 20. Suppose -11*v = 1 - 23. Solve c = -9*o + 4*o + 25, -v*o + 25 = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 4. Suppose -3 - j = -2*p. What is the first derivative of -4 + p*a + 3 + a - 4*a wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k = -3*n - 15, -n - 3 = -k. Suppose 5*h + 14*h - 27170 = 0. Suppose -k*v + h = 326. Is v a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3 - 119*z**2 - 3275*z - 3157 = 0?\nAnswer: -77, -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 187*m - 182*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71027804 is divided by 16066?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(3*sqrt(12)) + (-1*sqrt(76))\/sqrt(4).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16280, 13660, 6542, -7324, -30188, -64300, -111910, -175268?\n\"Answer: -375*w**3 + w**2 + 2*w + 16652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*v = 0, -10 = -3*o - 4*v + 18. Suppose o*j - 3470 = -58. Suppose -z = -j - 4047. Round z to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56779.1 nanometers in centimeters?\nAnswer: 0.00567791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**5\/60 - u**4\/12 - 2*u**2 - 4*u. Let m(w) be the first derivative of s(w). Determine m(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -47. Suppose 14 = -3*k + 194. What is the remainder when k is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53059188 a multiple of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6828054, 6828060, 6828078, 6828114, 6828174, 6828264, 6828390?\n\"Answer: l**3 - l + 6828054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**3 + 473*p**2 + 165*p - 1104. Let h be l(158). Let n be (-1 - -2)\/((-1)\/(-3)). Solve 0 = -n*k + h - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*g + 29, -8 = -b - 11*g + 12*g. What is the least common multiple of 560 and b?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.912058 to 2 dps.\nAnswer: 2.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*f - 2. Calculate the remainder when (-40)\/(-5) - (0 - -5) is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222602, 445140, 667690, 890258, 1112850?\nAnswer: 1335472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 92 = -136. Suppose -4 = 5*q - m. What is the units digit of q - (1 - 0\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b929 (base 12) to base 5.\nAnswer: 3434214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 9 - 1, 0 = a - 3*m + 2. Solve 20 = -0*r + a*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y = -3*s - s - 21*y + 64, 5*s + 50 = -4*y + 172 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z - 10 = 0. Suppose 5*k + h = 8, 5*k = -h + 5*h + 18. Factor -2 + 5*b - k*b - z*b + b**2.\nAnswer: (b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-611 - -601) + (0 - -8) - (-74 + -16).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1129, 1327, 1661, 2131, 2737, 3479, 4357?\nAnswer: 5371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4*sqrt(77)*-2)\/sqrt(11) + -2*(sqrt(28) - sqrt(7))*-1)**2.\nAnswer: -80*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 251*m**6*y**3 - 12*m**2*y**3 + 2*m**2 - 2*m*y**3 wrt m.\nAnswer: 30120*m**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-18))\/(((-43758)\/648)\/221)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -3766 (c) -1 (d) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 1:41 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/67195 and 53\/9.\nAnswer: 604755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**6\/60 - z**5\/20 + z**4\/12 - z**3\/2 - 3*z**2 + z. Let v(q) be the first derivative of t(q). Determine v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18 + 118)\/17 - 19. Let i(a) = 3*a**3 - 4*a. Let m(r) = -8*r**3 + 11*r - 1. Calculate l*i(v) - 4*m(v).\nAnswer: -v**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 18.17.\nAnswer: 18.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1112500*v**3 - v**2 + 2*v. Let x(z) = z**2 + z - 4. Let j be x(-3). Let b be d(j). Round b to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c + t = 26*c - 5, -4*c + 11 = -5*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149301 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(8\/5)*v*v**(-17)\/v assuming v is positive.\nAnswer: v**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:40 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -11. Let t(g) = g**2 - 3*g - 6. Let l be t(6). Suppose l = n + 1. What is the remainder when m is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, w: 2, i: 2, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + o - 128 = 0, 2*o + 62 + 60 = -2*g. Put -2, -13, g in increasing order.\nAnswer: g, -13, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16e + 28?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 328607 at least 328608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55732 is divided by 7922.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -10*m**3 + 110*m**2 + 466*m - 5109. What is f(11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)\/n**(-2\/9)*n**(-6)\/(n\/n**(-2)))\/((n**0)**24\/(n\/(((n*n\/(n*n*n*n**5)*n*n)\/n)\/n)*n*n**(-1\/4))) assuming n is positive.\nAnswer: n**(-221\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + 3*v**2 + 5*v**2 + (0*v + 3*v - 1 - 4*v)*(-97*v - 48*v + 195*v).\nAnswer: -44*v**2 - 50*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = a - 5*a. Let g = 0 + 0.2. Let z be 1 + 2*(-3)\/6. What is the second smallest value in g, z, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 790*t**3 + 789*t**3 - 1576*t**3 + 1113*t**2 as w*t**3 + v*t**2 + z*t + a and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1539) + 3 + sqrt(475)*-2 + -5 + -3.\nAnswer: -19*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1622.\nAnswer: 2\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from bfpfbfpbpfbfr.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 175 - 175. Solve d = -15*w + 21*w - 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2134 divided by 28440\nAnswer: 1067\/14220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244\/(-610) + (1169253\/20 - 9\/(-12))?\nAnswer: 17, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 723898 and 232?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.05 (b) 1 (c) -1\/4 (d) 0.1 (e) -2\/11 (f) 0.07 (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 2 + (-7 - 4) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 h when three letters picked without replacement from {p: 1, e: 10, h: 3, w: 1, a: 1, s: 2}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**3 + 11*o**3 - 8*o + 8*o.\nAnswer: 22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 0*w + 2*w**2 + 0*w**3 - 1\/2*w**4 - 1. Find the second derivative of k(n) wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349 a factor of 193450195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 4*h - 12. Let s = 3030 - 3022. What is b(s)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263524929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2. Let y(i) = -162581*i. Calculate u(y(q)).\nAnswer: 105730326244*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 0 + 4*s + 2 + 2*s**3 + 3*s**2 - 3*s**3. Let a be i(4). Suppose -a*y + 24 = j - 3*y, y - 22 = -j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 - 472. Let n = 1372 - 805. Let s = n + o. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13606462 in -0.3, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n. Let o(a) be the second derivative of a**3\/6 - a**2\/2 + 12*a. Give 2*o(k) + 3*u(k).\nAnswer: -4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01433575645 to 7 decimal places.\nAnswer: -0.0143358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/117*54\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((32\/2)\/2)\/(41\/41)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 738*y - 177616. Determine o(241).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7.26931 hours?\nAnswer: 26169.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1004160 divided by 8368\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 + 3 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*m = 2. Let o be m\/(12\/(-15))*6. Let n be 6 - ((-6)\/3 - -6). Solve r = -n*r + o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 111*d**2 - 935. Let s(n) = -n - 50. Give u(s(p)).\nAnswer: 111*p**2 + 11100*p + 276565","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 1. Let k = q + -1. Solve 0 = -2*t - k*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - -1.4. Let u = s + -0.5. What is the third biggest value in 5, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -42)*2*9*28\/(-504).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 8*l. Let r be b(-6). Let d = r - 10. Sort 1, d, -2 in decreasing order.\nAnswer: d, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/285 and -137\/19494.\nAnswer: 97470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -2*p - 69, -3*x = p + 5487 - 5445 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + h**2 + 6*h)*(12*h - 94 + 94)*(-1 + 2 - 4).\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158 - -1953. Suppose -b + a = 3*x - 1361, b = -2. List the prime factors of x.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 225*l + 900 = 0, 11636*j - 11634*j + 20 = 5*l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -31, -545063 in ascending order.\nAnswer: -545063, -31, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + s**2 + 3*s - 7. Let y be h(0). Sort y, 0, -0.1 in descending order.\nAnswer: 0, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(78))\/((sqrt(60)\/sqrt(5) + sqrt(12))\/sqrt(2))*-3*6 + 4.\nAnswer: 4 + 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 - -5) + (-175)\/1 + 0. Let z = 338 + w. What is the remainder when z is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 - 67 = -10*g. Suppose 72 = 27*v - g*v. Find the second derivative of -5*n**5 - v*n + 17*n**5 + 28*n + 8*n wrt n.\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40094 at least as big as -40094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*w**3 + 570*w**2 + 1397*w + 327 + 179*w**3 + 3*w**4 - 26*w**3 + 420*w**2 - 413*w = 0 for w.\nAnswer: -109, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -71.568 (b) 2 (c) -1\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.5, 0.174?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6*4\/(-6)*(-15)\/110*11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 59*z**2 - 130*z - 622. Give o(6).\nAnswer: 722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/4*32\/5. Let r = h + -14. Solve 2*y + 4*p = 18, 4 = r*y - y + p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -13*s. Let c(b) = 1353*b - 684*b - 683*b. Give 5*c(p) - 6*i(p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, e: 1, c: 1, a: 1, g: 5}. Give prob of sequence eaca.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19633\/27 + -727. Let b be (-32711)\/(-119) + (3 - 49\/17). Let r = b + -275. Is i less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10494, 3, -2\/5, -1 in descending order.\nAnswer: 10494, 3, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjc when three letters picked without replacement from cjjjjcjc.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62*b**3 - 963*b**3 - 87*b**3)*(13 - 8 + 4) to n*b**3 + r*b**2 + x + o*b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) - 2*sqrt(42))\/sqrt(7) + 1*(1*sqrt(6) + sqrt(6)))\/(-5*sqrt(75) - sqrt(432)*1).\nAnswer: -sqrt(2)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - r**2 - 2*r - 3. Let q be z(-2). Suppose -4*x + q*x - 3 = 0. Solve 2*h + x = -5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2107148 or 56892974\/27?\nAnswer: 2107148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 13. Calculate b(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6)**33\/(r**(-19)\/(r**25\/r)))**(-9) assuming r is positive.\nAnswer: r**(-2169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 7:04 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*i + 20*i - 10*i - x + 18, 0 = 3*i + x - 22 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 4*l**2 + l**2 - 5*l + 3*l**3 + 3*l as c*l**3 + g*l + h*l**2 + m and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -8. Suppose -q*t = -5092 - 1344. Let v = t - 6341\/4. Find the common denominator of 11\/8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-2)\/(80\/(-5)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16069 - 15313. Calculate the greatest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -4, -9, -46, -17, -30.\nAnswer: -46, -30, -17, -9, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/18 and (47\/470)\/(1*-1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(968) + sqrt(968)) - sqrt(968))**2 + (sqrt(968) - (3 + sqrt(968))*-4)**2.\nAnswer: 2640*sqrt(2) + 187936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 + 4*c + 2. Let f be n(-2). Suppose 12 = p + f. Suppose m + p = 3*m. Solve 5*h - 23 = -2*j, -m*j = -h - 2*h - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**7\/420 + v**6\/16 - 9*v**5\/40 + 13*v**4\/48 - 96*v**2. Factor u(z).\nAnswer: -z*(z - 13)*(z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -21, -43, -73, -111, -157, -211?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4587*k - 5202*k + 146985 = 0. Calculate the remainder when k is divided by (3\/(-4))\/(1\/(-16)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 1992*i**2 + 3978*i + 1988.\nAnswer: 2*(i + 1)**2*(i + 994)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2140 = -7749*r + 7535*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 812814 and 7.\nAnswer: 5689698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6 = -2. List the prime factors of 53\/4 + i\/(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17160\/117)\/(-55)*9\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1116b - 13?\nAnswer: 11158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 s when three letters picked without replacement from lllllllsqslllllll?\nAnswer: 91\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -173*f + 13. Let o(k) = 87*k - 6. Let r(h) = 7*o(h) + 3*q(h). Is r(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(19) + -2)*3.\nAnswer: -8 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3174 and 598?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -h - 2. Let y = 68 + -71. What is the third smallest value in 1, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 6) to base 2.\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) -2 (c) -138 (d) 0.3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 2, 0.1, -1\/5, 2\/551, -1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 828.03 + -834. Let c = l + 6. Let d = 4.97 + c. Sort -0.5, -0.2, d in decreasing order.\nAnswer: d, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**3 - 520122*y**2 + 14*y - 245632750 wrt y.\nAnswer: -3*y**2 - 1040244*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - -6. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-5160)\/210 + 23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1861263384 or 1861263385?\nAnswer: 1861263384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-21) - 74\/(-14). Suppose 51 = u - c, -2*u + y*u - 157 = -c. Calculate the common denominator of -25\/4 and u\/(-8)*(-1)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1067 = 32*d + 34*d + 31*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 - 1. Let n(q) = -q**2 + 10*q - 12. Let z be n(9). Let k(d) = d**3 + 3*d**2 - d - 4. Let h be k(z). Which is the nearest to w? (a) 2\/9 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 395 = a. Let o = 56 - a. Does 9 divide o*(2 + -1 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 33 (b) 3\/4 (c) -0.06 (d) -4 (e) 619\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -234, -216, -198, -180, -162?\n\"Answer: 18*u - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.52 - -0.520031. Round i to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 2, -36 in decreasing order.\nAnswer: 2, -17, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.5 + 123.5. Let j = -149.376 + 1.376. Let n = i + j. Which is the closest to n? (a) 1 (b) -5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 42*k**4 + 42*k**3 + 42*k + 21. Let b(l) = -l**3 - l. Let r(c) = -42*b(c) - u(c). Find the first derivative of r(w) wrt w.\nAnswer: -168*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 835*t**2*u - 51*t**2 + 2*u + 105 wrt u?\nAnswer: 835*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6932?\nAnswer: 2, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from {v: 16, o: 2}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 12, z: 1, u: 1, c: 1}. Give prob of sequence uz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159 or 168?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 0*t - 3*t**2)*((-4*t + 6*t - t)*(3 + 4 - 5) - 13*t - 20*t + 5*t)*(-1 - 4 + 3) in the form y*t**2 + n*t + p*t**3 + u and give p.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qobcoaoqovoocboa. Give prob of sequence ooo.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 7 - -3) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 10*l = -9. Let s be 3 + (36\/l)\/4. Solve 5*g + 0 + 20 = s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86556 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 2. Let g(w) = -13*w + 10. Let v(o) = 6*g(o) + 30*s(o). Let m(x) = -7*x. Calculate 20*m(q) - 3*v(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/118755 and 98\/87435?\nAnswer: 7956585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7\/148 - -3307\/296. Let r = -1288 + 25767\/20. What is the common denominator of a and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 2*s. Let r(w) = -4*w**2 - 9*w. Let h(o) = o**2 + o. Let q(c) = -6*h(c) - r(c). Give -5*f(i) + 3*q(i).\nAnswer: -i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) - (-2 + -2 + sqrt(300)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007605503 rounded to seven dps?\nAnswer: 0.0000761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -1009 + 1007. Solve a*w - 10 = -12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -5 - -1 - 0 - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91812 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 646 + -645.6. Which is the second smallest value? (a) -15 (b) q (c) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36312973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 - 7*p**2 + 4*p - 9. Does 32 divide h(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/11*4\/18)\/((-18)\/27).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*k = 1044, -d - 5*k = -143 - 70. Let l = 212 - d. Solve 0 = j + 2, -l*j = -x + 2 + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -12*d**3 - 34*d**2 + 3*d + 14. What is l(-4)?\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 + 74*m**2 - 542*m - 1121. Give c(-43).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x. Let d(n) = 21*n**2 - 16*n**2 + 21*n**2. Calculate d(m(w)).\nAnswer: 650*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2855 times -63987\nAnswer: -182682885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12795 - -55118. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16414, 28538, 40660, 52780, 64898?\n\"Answer: -j**2 + 12127*j + 4288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14.039 and -1.\nAnswer: -15.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*o - 11. Suppose o*h - 20 = -3*h. Solve h*z = -z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1 - 1 + 47*h - 52*h. Let p(k) = 2*k - 6. Let z(y) = 1. Let g(l) = p(l) + 6*z(l). Give g(i(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/16 + 0)*0. Let f be (-1)\/(-5) + (-234)\/(-30). Suppose -f - 4 = -4*s. Solve -2*c + s*c = q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-3))\/((-280)\/(-11970)). What is the highest common divisor of g and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r - 115*r + 2333960 = -457368. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.77705 and -1982.\nAnswer: -1978.22295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 16032*q + 2652286.\nAnswer: 2*(q + 169)*(q + 7847)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22521 and 15014.\nAnswer: 45042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -77 - 67. Suppose 5*l - r = 44. Solve 4*t + 2*s = -l, 0*t - 12 = 3*t - 4*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206128 is divided by 103038?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -a?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 39*v + 136. Give p(-33).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72644 and 7124.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4043 is divided by 4025?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m**3\/10 - 10001*m**2\/10 + 1306*m - 1536\/5 = 0 for m.\nAnswer: 4\/13, 1, 768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 11598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3\/4 + 865*i**2\/4 - 651*i = 0?\nAnswer: -868, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p + 3. Suppose 0 = -11*f + 14*f - 24. Put f, p, 5 in decreasing order.\nAnswer: f, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -132*j*n**2 - 6*j*n - 4*j - 21575*n**2 wrt j.\nAnswer: -132*n**2 - 6*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 32712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/(-16)*8\/(-7)*(-12411)\/(-3546).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 - 42*v**2 - 390*v - 10. Give d(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 16*b - 183. What is k(13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(131*(-806)\/124).\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -2. Suppose -3*y + d*y + 12 = 0. Is ((-4)\/y)\/(2\/166) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 3*t + 2. Let o be h(-3). Let l(u) = 2*u**2 + 2*u**o - 5*u**2 + 2*u**2. Let i(w) = -5*w**2. Calculate i(l(n)).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -2 + (10 - (-171)\/(-18)))\/(-12). What is the nearest to 4 in r, 3, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -42*z**3 - 4*z**2 + 11*z - 18. Is j(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11201101101100 - 10100?\nAnswer: 11201101021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 (base 15) in base 6?\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2499247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiqiiqeiiqeie. Give prob of picking 1 q and 1 e.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 59*i**4 - 80*i**4 + 2*i**3 + 0 as u*i**3 + d*i**4 + p + y*i**2 + q*i and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 605*u - 1353 + 990*u - 560 - 396*u wrt u?\nAnswer: 1199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.0462 + -0.0462. Let b = -14 - -25. Let l = b - 15. What is the third smallest value in -5, g, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101821*r**2 + 0 + 0 - 101811*r**2.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 1. Let i(l) = 85*l**2 - l + 4. Let s(z) = -i(z) + 4*k(z). Find the second derivative of s(p) wrt p.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(2\/25))**(1\/2))**8)**(11\/6))**(2\/3) assuming a is positive.\nAnswer: a**(88\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -3\/13 (b) -3\/32 (c) -2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*sqrt(300)\/sqrt(6))\/((sqrt(1000) - (sqrt(1000) + (sqrt(1000) - (sqrt(1000) + sqrt(1000)*1 - sqrt(1000))))) + sqrt(1000)).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 756*u - 6170. What is m(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in -0.1, -1, 5, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.04056 times -0.431\nAnswer: 0.44848136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-30)*(-25)\/10.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2978746, 2978744, 2978742, 2978740, 2978738?\n\"Answer: -2*i + 2978748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246130952.\nAnswer: 2, 883, 34843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9043932936 - -3511495254. Let v = n + 5532437732.99999866. Let t = v + -51. Round t to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 - 1599*t**2 - 1953*t**2 + 4.\nAnswer: -3552*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j - 107. Calculate s(14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k - 13. Let i(n) be the third derivative of 110*n**2 + 0*n - 1\/2*n**3 + 1\/24*n**4 + 0. Determine 9*i(y) - 2*w(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*z - 4. Let s(m) be the third derivative of -7*m**4\/24 - m**3 + m**2 + 57*m. What are the prime factors of s(z)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 273b + -4?\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 1, e: 1, h: 2}. What is prob of picking 1 w and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 4*w + 1. Calculate the remainder when p(5) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Suppose -16 = 4*i, 2*r = -2*r + 4*i + 8. Let c be r - (1 + (-10)\/1). Let b(h) = 2*h**2 + c*h - 7*h. What is b(j(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -3145274.\nAnswer: 2\/1572637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:12 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3*j - 587371*i**3 - 56*i**2*j + 117*i*j + 23*i + 4*j + 2880 wrt i?\nAnswer: 18*i*j - 3524226*i - 112*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -109649, -19, -2, 1 in descending order.\nAnswer: 1, -2\/9, -2, -19, -109649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112 + -16?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 15*g + 10. Let o(m) = -5*m**2 + 29*m - 20. Let y(d) = -7*k(d) - 4*o(d). List the prime factors of y(-11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11121, -11084, -11021, -10932?\nAnswer: -10817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddsllcdllf. What is prob of sequence cs?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/74408 and -31\/568?\nAnswer: 74408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 10. Let p be r(-15). Let j = p - -7. Suppose j*u - m = 5, u - 4*u + m + 6 = 0. Solve -2*t - u = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 3:17 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 260602.2 millilitres in litres?\nAnswer: 260.6022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 15 - ((-6 - -2) + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2718*0.018.\nAnswer: 0.0048924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30599\/6 + 5112. Find the common denominator of y and ((-157)\/80 + 2)\/((-90)\/2175).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.874006 rounded to 2 decimal places?\nAnswer: -1.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u**3\/17 + 5078*u**2\/17 - 1250290*u\/17 - 1255358\/17 = 0. What is u?\nAnswer: -689, -1, 911\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124003 is divided by 7738.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -106*d + 19. Let u(o) = 52*o - 8. Let l(g) = -3*n(g) - 7*u(g). Let z(y) = -2*y**2. Give z(l(a)).\nAnswer: -4232*a**2 - 184*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 + 96.000078. Round l to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {r: 1, x: 1, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1044813 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i - i. Suppose -4*j = -2*w + 2, 0 = -i*j - w + 9 - 0. Suppose -x - x = l + 599, -2*x + j*l = 602. What is x rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -143, -4.\nAnswer: -143, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 10*x - 1. What is the remainder when 52 is divided by u(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d**2. Let r(k) = -k**3 - 17*k**2 + 17*k - 16. Let s be r(-18). Let f(p) = -7*p + 2. Let o(z) = -10*z + 3. Let j(h) = s*o(h) - 3*f(h). Give n(j(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*g - 130*g + 4325 = 0. Is g at least -864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1005*t**5 + 2*t**4 - 79*t**5 - 5 - 1779*t + 5 - 544*t**5 wrt t?\nAnswer: -32560*t**3 + 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-50 - -7) - 41\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3093.4 + -3093.5. Let d = 11 + -8. Which is the nearest to -0.4? (a) l (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 16*d - 10. Suppose -a = 3*t - 0*a + 32, 0 = -t + 2*a + 1. Calculate the lowest common multiple of 30 and i(t).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/10*-8)\/2. Which is the second biggest value? (a) -0.5 (b) -0.08 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*g + 225 = 0. Let k(h) = 2*h**3 + 36*h**2 + 34*h + 74. Let q be k(-17). Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.508952 to two dps.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18670518*f*o**2 - 4*f*o - 92090*f - 7*o wrt o?\nAnswer: 37341036*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - f**2 + f + 6. Suppose 9*l - 5*l = 0. Give j(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - 10. Let i = 2 - -49. Let a = o + i. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -60.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 61*x**3 + 68*x**2 + 11*x - 101. List the prime factors of k(7).\nAnswer: 3, 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -6. Let n(a) = -4*a - 3*a**2 + a**3 + 0*a + 3 + 2*a. Determine n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 2*k + 3367. Let v(f) = -26*f - 111*f - 112*f + 249*f + 2*f**2. Give i(v(h)).\nAnswer: -4*h**4 + 4*h**2 + 3367","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(104)*-1*3)\/(-3*sqrt(56)\/(sqrt(7) + -6*sqrt(63))).\nAnswer: -204*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 44 = -5*r, 28 = 4*r - 0*d + 2*d. Solve 4*j + 5*o - r*o = 5, 0 = 2*o + 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 19. Let m be t(-14). Let b = -121 - -123. Solve 4*i - b*s = 0, 4*s = -m*i + s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101011100 (base 2) in base 9?\nAnswer: -1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8735*d**5*n - 5*d**4*n - d**3*n - d**2*n - 27*d*n + 53*n - 9 wrt d?\nAnswer: 524100*d**2*n - 120*d*n - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agc when three letters picked without replacement from {h: 4, g: 2, a: 1, c: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 59593 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95147, -95146, -95145, -95144?\nAnswer: -95143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4159, 4381, 4739, 5233, 5863, 6629, 7531?\nAnswer: 8569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375) + -3*sqrt(1375) - (sqrt(495) - sqrt(495)*-3))\/(3*sqrt(539) - (sqrt(11) - sqrt(11)*2*-5)) + -2.\nAnswer: -11*sqrt(5)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + (sqrt(16) - 2*sqrt(256)) + 4*sqrt(16)*-2 + sqrt(16))\/(-1*(sqrt(200) + (sqrt(200) - (sqrt(200) + sqrt(200)*2 + sqrt(200)))) - sqrt(200)).\nAnswer: -13*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 405 - 549 + 1062 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - b = -44, y - 5*b = -3*y - 60. Which is greater: -21\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 4*q**2 + 7*q - 17. Let g be k(4). Let o(b) = -g*b - 28289 + 28289. Let c(v) = v**2. Calculate c(o(z)).\nAnswer: 121*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(175) + sqrt(175)*-2 + -1 + -3)**2*-5 - ((sqrt(175) - (sqrt(175) - (sqrt(175)*1 - sqrt(175)))) + 4 - -2*(sqrt(175) - (sqrt(175)*-3)**2))).\nAnswer: -210*sqrt(7) + 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 15, 39, 73, 117, 171, 235?\n\"Answer: 5*w**2 - w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, t: 1, h: 10}. What is prob of picking 1 q, 1 t, and 2 h?\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + 1 + sqrt(68))*1)*-2*6.\nAnswer: -24*sqrt(17) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 288736260331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 3*r + 11. Give d(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -10*g - 2. Let s(q) = 4*q**2 - 3*q. Let i(z) = 5*z**2 - 2*z + 1. Let y(p) = 5*i(p) - 6*s(p). Let v be y(-7). What are the prime factors of n(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -140\/34194383?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 670*i. Let s be v(-5). Let j be (-4)\/(-5)*s\/(-4). Suppose -q + j = -2*q. What is q rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -339*o - 15*o + 5664 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1330783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/798 - 124\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**4\/5 - 145228*h**3\/5 + 17303494*h**2\/5 - 101245776*h - 104735520 = 0.\nAnswer: -72733, -1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 4:27 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -4 (b) -0.02 (c) -3\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4620 + -4625. Which is the fourth biggest value? (a) -104 (b) i (c) -1\/4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -13*w**6\/10 - w**5\/10 - 101*w**4\/6 - 149*w. What is the third derivative of a(p) wrt p?\nAnswer: -936*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/11)\/(8\/8).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3)*(-3*j + 0*j + 2*j) + 3*j - 3*j + j - 3*j - j + 3*j + ((1 + 0 + 1)*(1 - 4 + 6) + 160 - 297 + 205)*(-j + 0*j + 2*j).\nAnswer: 71*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.804 - 0.\nAnswer: -0.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*q - 2*i + i, 16 = -4*q + 4*i. Let r(f) = -1. Let p(l) = -2*l - 5. Give q*p(c) + 5*r(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/2 - 447*r\/2 - 222.\nAnswer: -3*(r + 1)*(r + 148)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -6, 2*z + 2*a - 779 - 73 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 - g + 5. Let t(u) = 4*u**2 - u + 6. Let p(i) = -3*i + 2. Let c be p(2). Calculate c*t(d) + 5*w(d).\nAnswer: -d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 868332046.\nAnswer: -868332046.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76832.36 years to centuries.\nAnswer: 768.3236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 192601 (base 10) to base 6\nAnswer: 4043401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1.5, -1, 26 in increasing order.\nAnswer: -1, 1\/2, 1.5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 211798 a multiple of 602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/288000279 and -11\/288000279.\nAnswer: 288000279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 437705 - 437702. Find m, given that 7\/4*m**2 - 1\/4*m**g - 3\/2 - 1\/4*m**4 + 1\/4*m = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {a: 1, h: 1, p: 1, o: 1, r: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -925\nAnswer: -3\/925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 178152494.\nAnswer: 178152495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 330, -1, 2.\nAnswer: -4, -1, 0, 2, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06068 + 0.13932. Which is the closest to -0.1? (a) 0 (b) -1 (c) -2\/11 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epekvgkg. What is prob of picking 1 v and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**7\/21 - 2*k**6\/5 + 13*k**5\/10 - 2*k**4 + 4*k**3\/3 + 10*k - 12. Let f(r) be the first derivative of c(r). Factor f(o).\nAnswer: 2*o*(o - 2)**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*w + 3*y, 3*w + 2*w = -2*y + 11. Suppose 3*u = -12, 4*u = 2*q - 19 - w. Suppose 69 = -2*l + q*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**2*w - l**2 + 2*l*w**2 - 6440605*l*w - 20898*l - 16 wrt w?\nAnswer: -2*l**2 + 4*l*w - 6440605*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j + 82*j = -116 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(605) - (sqrt(605) + -1)) + sqrt(605).\nAnswer: 5 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (2 - (3 - -3 - 1)). Which is the closest to t? (a) 0.3 (b) 0 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 11*z + 148. Give a(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3) + 42\/18. Suppose v + h - 2*h = 9, -z*v - 13 = 5*h. Let a(s) = -4*s**2 + 194*s - 277. Let c be a(47). Solve c = -v*u + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 545 (base 7) to base 13\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02754*10.1.\nAnswer: 0.278154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 1299*u**2 + 2607*u - 1305.\nAnswer: -3*(u - 1)**2*(u + 435)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 61, -12, 396, -5 in ascending order.\nAnswer: -12, -5, 15, 61, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2 = 5*v + 1, 4*u = 2*v + 4. Suppose -5*f + 254 + 516 = v. What are the prime factors of f?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164848 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-3))\/((-4)\/12). Let b = 7 - r. Suppose 0 = b*v - 112 + 22. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -5, -43, 4 in ascending order.\nAnswer: -43, -5, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1211916 and 121\/12?\nAnswer: 1211916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316 = 138*b - 175*b - 239 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12306*o - 12321*o = -10395. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 13) + 7 + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6 = -4*i - 10, -i = -4*g + 4. Suppose 6*h - 1895 + 629 = g. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 3, 1490 in ascending order.\nAnswer: -1, 1, 3, 1490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - (sqrt(297) - -1*sqrt(297)) - 4*sqrt(297))\/(2*sqrt(396) + (sqrt(275) + sqrt(275)*-2 + sqrt(275) - sqrt(11))).\nAnswer: -17*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 20 (c) 4\/15 (d) 3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2334 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 4*u + u**3 + 3\/2*u**2 + 0. What are the prime factors of i(3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b. Let u(d) = d**3 - 6*d**2 - 8*d + 9. Let s be u(7). Suppose s = -i - k + 1, -k + 2 = 2*i. What is q(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svd when three letters picked without replacement from {d: 1, r: 2, f: 1, e: 1, s: 2, v: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a8534b - 19?\nAnswer: -a85368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 86*d. Let j(o) = -16*o - 34*o + 50*o + 3*o**2. Calculate j(a(i)).\nAnswer: 22188*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139293 and 990?\nAnswer: 1392930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + 4*q - 4*q + 14274251 - 14274255.\nAnswer: 2*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/9)\/((-1)\/(-6)) - -308 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 6*v**2 - 81*v + 481. Let r be j(6). Which is the nearest to r? (a) 38 (b) -0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**2 - 2. Let c(d) = -2*d + 0*d + d - 2*d. What is c(z(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*j + 306, -2*j - 202 = -2*h - 5*j. Calculate the greatest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00120765126 to 7 dps.\nAnswer: 0.0012077","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o**3 + 23*o**2 - 12*o - 23. Let l(y) = 4*y**3 - 12*y**2 + 6*y + 12. Let t(n) = 5*l(n) + 3*r(n). Let q be t(8). Let c = q + 70. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 25 = -9*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 109425601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 64677 and 64001.7?\nAnswer: 675.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - (sqrt(84) + -1*sqrt(84)))\/sqrt(7) - -1*(sqrt(3) + 0)*1)**2*2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.10090943 and 0.244.\nAnswer: 0.34490943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 2 - 3*d + 2. Let m(p) = 3*p. Calculate m(f(b)).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-204)\/(-17))\/((-8)\/4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4430 - 4432. Suppose 0 = -b - l + 6, -3*b + 10 = -2*l - 3. Suppose 5*z - 20 = -5*o, 2*o + b*z = 8 + 6. Which is bigger: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*c**2 + 32*c**2 - 3*c**2 - 3*c**2 to the form o + s*c**2 + x*c and give s.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 48*b + 122. Calculate m(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.7668 - 59.\nAnswer: -64.7668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + k**2 + 2*k**2 + (0*k**2 - k**2 + 3*k**2)*(1 + 1 - 4) - 2*k**2 + 3*k**2 + k**2)*(-2*k**3 + 2*k**3 + k**3) + 0*k**5 + 6*k**5 - 4*k**5.\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271115299?\nAnswer: 7, 13, 53, 67, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 382503 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3.2*-0.4\nAnswer: -1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 18*m - 67. Let d be p(12). Let l(k) be the first derivative of 0*k + 0*k**2 - d - 4\/3*k**3. Let r(z) = -z**2. Determine r(l(b)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -3*r + 5*b + 76, -3*b + 9 = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, s: 2}. Give prob of sequence hh.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/8*5 - 9\/(-72). Let s(x) = -x**2 + 26*x - 8. Is s(w) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 61 = -4*m + 62, -4*b = -3*m - 568. Suppose -2*v + b = -449. Suppose -o = 3*x - v, 2*o - 5*x = -2*o + 1244. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - -2.5. Let y = i + -3.5. Suppose -4*k - 5*a + 16 = 0, -4*k - 4*a + 21 = -9*k. What is the closest to k in 0.4, 2\/9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 56 = -0*v. Let r(b) = -b**3 + 9*b**2 - 8*b + 10. Let f = -32 + 40. Calculate the smallest common multiple of v and r(f).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4146, -4142, -4130, -4104, -4058, -3986?\nAnswer: -3882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 381 + -4193\/11. What is the nearest to 0.1 in 7, o, 12, 4\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(((-4)\/(-8))\/((65\/(-20))\/13)). Let r(s) = 11*s**3 + s**2 - s - 3. Let x be r(3). Suppose h = 4*p - 252 - x. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10578765 - 4086790. Let t = -6491961.000018 + z. Let y = t - 14. Round y to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, q: 4, i: 1, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**5\/60 - y**4\/8 - y**3\/3 + 6*y**2. Let x be o(-3). Let m be -1 + (-1 - x) + 3. Solve -a + m = -0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 1\/2 (b) -4 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - f**2 - 6 - 4*f + 4 + 6*f as d + y*f**2 + v*f and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/4035 and -113\/12?\nAnswer: 16140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2632489029 rounded to three dps?\nAnswer: 0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.985 + -0.015. Which is smaller: -14\/5 or d?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119 + 45 + 30)*(-2 + 2 + k)*(-21 - 16 + 21).\nAnswer: 704*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((3 - 3)\/2)\/(-1). What is the closest to -2\/9 in a, -5, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10042*y**3 + 1013*y**2 - 3*y wrt y.\nAnswer: 60252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*w**3 + 2052*w + 4*w**4 - 47*w**3 - 3672 - w**2 - 28*w**2 - 3*w**2 - 76*w**2.\nAnswer: 4*(w - 17)*(w - 3)**2*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -454 - -782. Suppose -j - 388 - 22 = -5*i, 4*i - 2*j - a = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**2*l - 384*a**2*y**3 + 9*a**2 + 20*a*l*y**2 + 1613*a*l - 9*a*y + 33933*l*y**4 - 2*y**4 wrt y.\nAnswer: -2304*a**2 + 814392*l*y - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 38 (b) -1 (c) -0.2 (d) -0.3 (e) 48\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a - 2. Let q be l(2). Let p(u) = -u**3 - 15*u**2 + 17*u + 18. Let r be p(q). Solve -x = 4, -r*g + g = 2*x + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvveevvvvevv. Give prob of picking 3 v and 1 e.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 4122*i - 4247721.\nAnswer: -(i + 2061)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3375)\/(-20) - -2)*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010011 - -1?\nAnswer: -1000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*h + 21. Let k be ((-10)\/3)\/(h\/18). Let a(c) = -c**3 - 10*c**2 - 9*c - 1. Is a(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1749)\/99 - -48 - 31\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/(n*n**(-8)))\/(n**(2\/19)*n*n\/(n*n**(1\/21))*n) assuming n is positive.\nAnswer: n**(3568\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3351646 is divided by 780.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -475 - -476. Let u = -2\/225 - -914\/1575. Which is the closest to s? (a) -3\/2 (b) u (c) 5\/2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**10\/151200 + g**9\/30240 + g**8\/20160 - g**5\/60 + g**2. Let f(a) be the third derivative of r(a). Factor f(i).\nAnswer: i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9*g + 271. Let j be n(24). Let y = j + -52. Solve 5*d + p = -17, -3*d + 0*p = y*p + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4)*r)\/(r**0*r)*(r**(-1\/10)\/r)\/(r*r*r**5))\/((r**0)**(3\/20))**(1\/2) assuming r is positive.\nAnswer: r**(-167\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*(-2 - -2))\/1. Let f(w) = w + g*w - 5*w. Let j(o) = 2*o. Calculate j(f(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*s**2 + 340*s**2 - 677*s**2 + 12*s**2 - 16*s**2 + 113*s**2.\nAnswer: -200*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. Let v(n) = n**2 + 20*n - 36. Let x be v(-22). Let k be (-4*(-2)\/(-6))\/(x\/(-12)). Solve k*w = -5*a + 17, 4*a - d = 2*w + 2*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-4))\/((-3)\/2). Let i = -0.2 - -0.3. Let k = 68 + -68. Which is the nearest to k? (a) -4 (b) n (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 3832\nAnswer: 42152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*-3\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421 = 17*i - 421. Solve -b + 1 = i, d = 4*d - 2*b - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.5 - 0.5. Let j = p - -4. Suppose -5*o = -2*r - 2*r + 26, -3*r + 12 = 0. Which is the nearest to -1? (a) o (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = -1. Calculate the lowest common multiple of f and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - -19) + 13 + (57 - 1).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38908?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:08 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(200)*2)**2 + (sqrt(20)\/(sqrt(40)\/(sqrt(8)\/sqrt(2))))**2 - ((sqrt(14)\/(sqrt(7)*-2*4 + sqrt(7)) + 3)**2 + 1).\nAnswer: -274*sqrt(2)\/7 + 38855\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -155*f - 8. Let g be s(-9). Suppose -2*o + 4*j + g = 243, -5*o + 2848 = 2*j. What is o rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + d**2 + d + 19 - 26*d**2 - 19 + (35*d + 57*d - 11*d)*(0*d - d + 0*d) in the form m + s*d**2 + o*d and give s.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-60)\/(-1260))\/(((-8)\/(-7))\/4))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 127, 126, 135, 154, 183, 222?\n\"Answer: 5*q**2 - 16*q + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4210624898068 and 0.7.\nAnswer: 4210624898068.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3062 - -3077. What is the remainder when 2892 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxvdxvvxvqvvxqi. Give prob of picking 1 d and 1 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 5*s**3\/6 + 28*s. Let r(h) = -2*h. Give r(c(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**3 - 2*z**2 - 3. Let b(h) = h**3 + h**2 + h + 4. Let k be b(0). Let y(r) = -1 - 1 + 2*r**2 + 3*r**3 + 4. Determine k*d(j) + 5*y(j).\nAnswer: -j**3 + 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2 + 6. Let u = 3 + n. List the prime factors of (1\/2)\/(u\/(-24)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20730, 41292, 61854, 82416, 102978, 123540?\n\"Answer: 20562*x + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(416))\/sqrt(8))\/(sqrt(400) - 1*sqrt(400) - sqrt(400) - sqrt(4)) - (((sqrt(325)*1)**2 - sqrt(325)) + sqrt(13) + 3 + -5).\nAnswer: -323 + 42*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131247931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + 27 - (7 + -6)) + 13 + 2 + 6?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 114?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1589*y - 88*y**2 - 5910*y - 12184*y - y**3 + 0*y**3 - 531441 - 155*y**2.\nAnswer: -(y + 81)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 8 = 4*v, -2*b + v + 59 - 61 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/(g**(-1\/15)*g))**(-13)*(g\/(g**4*g)*g\/(g\/(g*g**(-4)*g*g))*g)\/(g**(-1\/2))**(-1\/26) assuming g is positive.\nAnswer: g**(-54511\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/7 - 490726*f**3\/7 + 5734366794*f**2 - 1095047728212834*f\/7 + 35000439439643712\/7.\nAnswer: 2*(f - 81777)**3*(f - 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463822 is divided by 34922?\nAnswer: 9836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**2 - 39*x**2 - 27*x**2 - 12*x**2.\nAnswer: -67*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-4)*256\/480.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/363, -88, -3\/4, -4\/5?\nAnswer: -2\/363","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 3 (c) -2.1 (d) 0.5 (e) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-12)\/(-9))*2. Let s(q) = -5*q + q**2 - 4 - q + 7*q + y*q. What is s(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 18*h**2 + 606*h - 33. Let b(a) = 6*a**2 + 203*a - 12. Calculate -11*b(m) + 4*q(m).\nAnswer: 6*m**2 + 191*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**(-2\/7)*z*z)*(z*z*z**(-15)*z)\/z*(z\/z**(-4\/7))\/(z**(3\/4)*z*z) assuming z is positive.\nAnswer: z**(-445\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**6\/60 + j**5\/15 - j**4\/8 + j**3\/3 - 9*j**2 - 20. Let r(l) be the second derivative of w(l). Determine r(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v + 3. Give x(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 5*t = -3*y + 15, 3*y + 4*t + 15 = 0. Which is the nearest to -1? (a) -0.4 (b) y (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357049763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g = -19*g - 9 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5567590838?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25380 = 110*l + 279*l + 476*l - 160*l for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/5, 279, -3, -0.1, 117, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 7. Let t be j(11). Suppose p + 0 = -w - 2, -w + 7 = t*p. Suppose 19 = -5*u - l - 2*l, 0 = -p*u + 3*l + 3. Sort -1, u, 1 in descending order.\nAnswer: 1, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/2 + 21*s**3\/2 - 17*s**2 - 42*s + 76.\nAnswer: -(s - 19)*(s - 2)**2*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 4*c + 0*c)*(3*c - 3*c - 2*c**2) + 4*c**3 - 2*c**3 - 4*c**3 + c**3 - 3*c**3 + 0*c**3 - 1 + 19 + 6 - c**3.\nAnswer: -7*c**3 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-62)\/124*(0 + 0 - 2). Let i(w) = -38*w + 1. Calculate i(v).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5205633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) 2\/11 (c) 4 (d) -0.3 (e) 17 (f) 2362\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b99bc + b6?\nAnswer: -b9906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q - 4*g + 5, -4*g = -q + 23. Let z = 58 - 28. Let a be (-6)\/z + (41\/(-5))\/(-1). Which is bigger: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24722.14554 rounded to the nearest integer?\nAnswer: -24722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 o, and 1 g when four letters picked without replacement from {g: 1, r: 2, f: 4, o: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202120200222 (base 3) in base 6?\nAnswer: -51244125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/204)\/((-7)\/6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3305\/((-7)\/42*-3). Round u to the nearest 100.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*a**2 - 258*a**2 + 599*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(7) + sqrt(14)\/sqrt(2)))\/sqrt(2)*-2.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170489892 to the nearest integer?\nAnswer: 13057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1978 + 41*n - 120*n + 81*n)*(3 + 2 - 6)*(n - 3 + 3).\nAnswer: -2*n**2 - 1978*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*b + 3)*(-1 - 2 + b**2 + 3*b + 2).\nAnswer: 2*b**3 + 6*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*c + 2)*(-2 - 3 + 4) + (2 - 4 + 0)*(-c + 2*c + 2*c)*(3 + 0 - 2) as l + h*c and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*n = 4*u - 36, -5*u + 5*n = 0. Solve -76*w**u + 939*w**2 + 2*w**5 - 1187*w**2 + 324 + 2*w**5 - 396*w + 392*w**3 = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-232 + 20*h + 232)*(5 - 1 - 5)*(4 - 11 - 12 + 3) to u + a*h and give a.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2341131 - -2?\nAnswer: 2341133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 968.336l?\nAnswer: 968336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 3*p + 20. Give t(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19029076 to four dps.\nAnswer: -0.1903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4 - 4)*(-2*j - 3*j + 4*j)*(-20 + 50 + 34).\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4476? (a) 2 (b) -4 (c) 2\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -11*b**5\/40 + 13*b**4\/12 - 19*b**3\/12 + b**2 - 3929*b. Factor j(v).\nAnswer: -(v - 1)**2*(11*v - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 418 + -257. Let n = v + -78. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006839 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j + l - 1017 = 0, 4*l + 398 = 2*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -176178, -176162, -176168, -176208, -176294, -176438, -176652?\n\"Answer: -2*o**3 + o**2 + 27*o - 176204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 5) to base 6.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3016, -11810, -26380, -46726, -72848, -104746?\n\"Answer: -2888*z**2 - 130*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1012 + -4856?\nAnswer: -3844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(65)*-4 - (sqrt(65) - sqrt(65)*-3*-5))\/((sqrt(5) + sqrt(30)\/sqrt(6))*-3 - sqrt(500)*4).\nAnswer: sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8671650 and 9250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -22\/427?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.953 - -0.047. Let v = u + -3.007. Let j = v - -0.007. Which is the second biggest value? (a) -3 (b) j (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 6*s + 6. Suppose 3*a - 1 = -16. Let p be c(a). Solve -p + 10 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12745 + 12747.6. Are -206 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 52765376?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 8*k**2 - 3*k + 11. Let a be z(8). Let c(f) = f + 4. Let t be c(-8). Let p = -47966 + 47968. Sort t, a, p in ascending order.\nAnswer: a, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 0*l = -67*l + 809592. What is the highest common divisor of 122 and l?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 + g + 14\/5.\nAnswer: -(g - 7)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 5:22 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3\/9*9\/21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-5)\/((-1)\/(8*6\/(-24))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 + 3*k**4 - 6*k**4)*(4 - 5 + 3) + 23*k**4 + 0*k**4 - 6*k**4.\nAnswer: 15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3\/2 + 16908975*p**2.\nAnswer: 5*p**2*(p + 6763590)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sapoajot. What is prob of sequence apsj?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*s = 12, 10 - 8 = -a + s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 581321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-6 + (-106)\/(-18)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 9)*(-136*p + 990 - 110*p + 243*p) in the form h + f*p and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 14, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.29 - 1.49. Put l, 1\/6, 2, 0.2 in descending order.\nAnswer: 2, l, 0.2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*d + 72*d - 157800 = 0. Round d to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -556068 times -2?\nAnswer: 1112136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 + f - 2. Let m be h(1). Solve m*d = d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by (48 - -3)\/3 + -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (20 + -2)\/2. Suppose -f = t*f - 18. Let p(m) = m**f - 3 + 1 - 3*m + 0*m**2. Determine p(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 - 5*m**2 + 12*m + 124. Calculate p(-4).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002862004 to five decimal places.\nAnswer: -0.00286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/7 (b) -5 (c) -4 (d) -292\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4407 + 398 + 34984 = 0. What is the thousands digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-2 - 9) - (-1 - 0). Suppose a - x - 7 = -4*j, -2*a = 5*j - 24. Solve -r + 5 = -b - 3, r - j*b = 23 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0999919 - 0.1. What is k rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-70)\/2*(-6)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.56 - 1.76. Is -55 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19850768.\nAnswer: 2, 7, 177239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.591 + -1.68. Let f = d + 0.089. Which is the nearest to -4? (a) 0.1 (b) f (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 3. Suppose 2*n - 10 = 4*a + 2, -9 = 3*a - 3*n. Let z(f) = -2*f - 48 + 160 - 58 - 48. What is a*z(o) + 5*k(o)?\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18286, 18291, 18296, 18301, 18306?\nAnswer: 18311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 1.1. Let i = -5 - 9. Let j = 10 + i. Which is the nearest to k? (a) j (b) 2\/3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107.04272 + -106.9. Let u = -9.33172 + q. Let p = 9.3 + u. What is p rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -v**3 + 2348*v**2 - 5140 wrt v?\nAnswer: -3*v**2 + 4696*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 + (-65 - -23 - 56).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**7\/42 - 3*u**4\/8 + 2*u**3\/3 - 6. Let j(c) be the third derivative of d(c). What is the derivative of j(n) wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4315 - 4027. Solve -3*u = 69*o - f*o + 9, -o + 4 = -2*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 50, 0 in decreasing order.\nAnswer: 50, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-8) + (-19)\/2. Let j = -7 - o. Find the common denominator of -19\/12 and 158\/(-24) + j\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 24261*j - 145517. What is w(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*x = 162258 + 522057. Calculate the greatest common divisor of x and 274.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -508\/1631 - -6\/233. What is the closest to -1\/3 in x, -0.5, -5, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0067 - -0.2933. Let o be 2\/((-56)\/((-16)\/(-4))). Which is the second biggest value? (a) l (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6289705 and 84.7.\nAnswer: 6289789.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 16*i - 4. Let k(v) = 4*v - 1. Calculate -2*g(t) + 9*k(t).\nAnswer: 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 10. Let g be 5\/12 - 4\/q. Let h = -7 + 6. Which is the closest to -1? (a) -0.1 (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 6330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 122313 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4002\/116)\/(9\/312) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -666523, -2666099, -5998733, -10664431, -16663199, -23995043?\n\"Answer: -k**3 - 666523*k**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-1)\/7) - (-9285)\/1305. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 2*f + 0*f)*(498 - 286 + 602).\nAnswer: -814*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -157282609 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvfy when four letters picked without replacement from fryfvrfxfvvb?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -8 + 1400\/312. Let d = a + 76\/13. Sort 20, d, -2\/11.\nAnswer: -2\/11, d, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 29 + 7. Suppose 405 = 2*l + 389, 5*i = -3*l + 39. Solve 3*w - i*s + z = 0, -4*w + s = -5 + 23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 0*g + 4. Suppose -6*m + 10*m = -3*o - 201, -9 = 3*m. What is the common denominator of 35\/o - (-10)\/g and -49\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1130300 + 14?\nAnswer: -1130231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70043517, 140087031, 210130545, 280174059?\nAnswer: 350217573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -19*c - 103. Let j(l) = 944*l + 5. What is x(j(d))?\nAnswer: -17936*d - 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 2*y**3\/3 + 24*y**2 - 53*y - 1072. Calculate h(-25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9634, 9635, 9636, 9637, 9638, 9639?\nAnswer: 9640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 34 = -3*l - j, 0 = -4*l + 2*j - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (0 + (-1)\/1). Let z be (3\/(-2))\/(39\/26). Let l = 4 - 3. Sort l, r, z in descending order.\nAnswer: l, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24905.\nAnswer: 5, 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z**2 - 3*z**2 - 2*z**2)*(1 - 3 + 5)*(-1 + 4 - 2 - 1 + 5 - 3 + (0 - 1 + 0)*(-2 + 0 + 4) + (0 + 4 - 3)*(0 - 5 + 2)) as r*z**2 + h + s*z and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 + 143. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 12*u + 8. Determine l(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3, -4*a = -3*o - 9 + 39. Let k(n) = n**2 - n - 5. Let y be k(o). Let c = y + 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2327, 2350, 2373, 2396, 2419, 2442?\nAnswer: 2465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -149*w**2 + 1343*w - 25. Let i be f(9). Let z(j) = j**3 + 7*j**2 - j - 9. Give z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtyrggyrvgvyryyy. Give prob of picking 2 y.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*v - 15*n - 21, 106*v - 101*v - 4 = -n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7825 and 208771?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjk when three letters picked without replacement from kvjkkjkkv.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 234959785655 and 0.29.\nAnswer: 234959785655.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = w + 4*w. Suppose 5*d - 4*d = w. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b (base 16) to base 10.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7161786974 to the power of 1\/2, to the nearest integer?\nAnswer: 84627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7136740132 + 4?\nAnswer: 7136740136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39304 + 76011. List the prime factors of p.\nAnswer: 11, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 + 211272*r\/7 - 633798\/7.\nAnswer: -2*(r - 105633)*(r - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29985 + -2338901\/78. Let f = 14\/13 + z. What is the closest to 0.1 in 3, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2027 + -324984.\nAnswer: -324984.2027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*y + 15*y - 7*y)*((0*y - 3*y + 4*y)*(y + 3*y - 2*y) - y**2 + y**2 - y**2 + 3*y**2 - 2*y**2 - 4*y**2).\nAnswer: -58*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 4465832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**4\/4 - 22*b**3\/3 - 45*b**2\/2 - 103*b + 191. What is i(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34230 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -4a?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 24 (b) -6\/13 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60610 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + k - 7, -k + 11 = 6. What is the third derivative of 6*t**2 + 0*t**o + 14*t**4 - t**2 + t**2 wrt t?\nAnswer: 336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 16487, 3.\nAnswer: -7, -4, 3, 16487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 17*o - 7250. What is o rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2034 divided by -6\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -26*g**3 + g + 1. Suppose 0 = 9*d - 4*d + 5. Calculate the remainder when f(d) is divided by -1 - (0 - (-1 - -11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8036051 is divided by 9848?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x)**(-2\/81)\/((x**(7\/4)\/x*x*x)\/((x\/(x*x\/(x\/(((x*x*x**(1\/14))\/x)\/x*x))))\/x)) assuming x is positive.\nAnswer: x**(-135\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45420595*f**4*o - f**4 + 385429*f**2*o + 2*f**2 + 2*f*o - f - o + 1 wrt f.\nAnswer: -1090094280*f*o - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (621\/644 - (-1)\/(-4)) + 12731\/(-203)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 3*k**2 - k - 2. Let x be i(2). Suppose -3*q - 1039 - 785 = x. Let y = -417 - q. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102021211 (base 3) to base 14\nAnswer: 2ddc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + j - 4)*(24 - 9 + 10)*(4 - 7*j - 3*j + 3*j) in the form s*j + g*j**2 + v and give s.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*z + 198 = 349*z - 460 - 620 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Put 3, d, -4 in descending order.\nAnswer: 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1 - 1 = 3*p, 5*k = -5*p. Which is the closest to -0.1? (a) p (b) -5 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*b**4*t**2 - 1092*b**3*t**2 + 14*b**2*t**2 + 15*b*t**2 wrt b?\nAnswer: 792*b*t**2 - 6552*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -1 - (34 + -45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + 40. Suppose 12*x - l = 153. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38 - (0\/(-3) - (-4 - -3)). Suppose 5*u - v = -2*f - 0*f, f - u - 15 = 0. Solve -o = 3*o - f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 16 = 17*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4182*k**2 - 2*k + 729.\nAnswer: 8364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*s**2*y + 97*s**2 - 2*y wrt y?\nAnswer: 3*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2. Let v be 8\/(4\/2 - 0). Let d(i) be the third derivative of 2*i**2 + 0*i + 0*i**3 + 0*i**v - 1\/30*i**5 + 0. Calculate r(d(t)).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/68692 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-2 - -3)) + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/(((((k**(-4\/3)*k)\/k)\/k)\/k)\/k))**(-22) assuming k is positive.\nAnswer: k**(-352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/5 - 48*z**2\/5 - 128*z\/5.\nAnswer: -4*z*(z + 4)*(z + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 11 - 1. Let v(l) = -3*l**3 + l - 1. Is v(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(52))\/sqrt(4) - (0 + (0 + sqrt(1573))**2).\nAnswer: -1573 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136725295 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*j - 3229*j - 34522 = -2910 + 125930 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28051 * -1030.\nAnswer: -28892530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.959 - -11.959. What is the fourth biggest value in 2\/5, h, 0, -1\/3, 16\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Let z be d\/13 - (-100)\/26. Let n(p) = z + p + 5*p + 14*p**2 - 13*p**2. What is n(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 7*g**2 + 6*g + 6. Let h(p) = p**3 - 22*p**2 - 48*p - 1. Let c be h(24). Let o be -1 + c\/2 + (-85)\/2. Let b = 38 + o. Determine m(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(-12)*-1)\/((-44)\/206646) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s. Let z be (1 - s)\/(4\/20). Suppose -z*y + 18 + 17 = 0. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14988700 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -240*r + 2251*r - 614*r in the form x + a*r and give a.\nAnswer: 1397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-89356)\/267*1182\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3267?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -174323\/5 - -34879. Find t, given that 9*t - 6\/5 + 33\/5*t**3 - b*t**2 = 0.\nAnswer: 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 8*1\/(-2). Suppose -6*t = -i*t - 54. Let y = 165 + t. What are the prime factors of y?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -4, 517\/6, 0.5, 3\/2, -2\/7, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**2\/7 + 26464*b - 27690756\/7 = 0.\nAnswer: -46461, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x. Let t be 2*((3 - 3) + 1). Let m(j) = -t + 3*j**2 + 6 - 4. What is o(m(w))?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 + 10*n + 11. Let i(h) = -10*h**2 - 30*h - 33. Let s(d) = 7*g(d) + 2*i(d). List the prime factors of s(-11).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -1900, -2\/27 in ascending order.\nAnswer: -1900, -2\/3, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1308362875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 times 85.9757\nAnswer: 12.036598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r + 4. Determine p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 24 + 1 = 0, 4*m = 5*i - 35. Solve -i*h + 4 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -81*y - 75*y - 67*y + 218*y. Let i(r) = -3*r - 188. Determine i(a(t)).\nAnswer: 15*t - 188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 11:08 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6868 + -6863. What is the nearest to 0 in h, 15, -10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - p. Let n(x) = 5*x**2 - 16*x - 6. Let u(m) = 6*d(m) - n(m). Suppose 2*c - 20 + 8 = 0. Calculate the remainder when u(-11) is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5213*f**3 - 3*f**2 - 5*f + 11. Let q be n(9). Round q to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = r, 4*t - 7 + 2 = -3*r. Suppose 7*h = 12*h - t. Let a = 9 + -19. What is the closest to 1 in h, 3, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*g - 5*i = -68*g + 4872395, -2*i = -2. Round g to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (-25 - (-1 + -23 - -71)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*x**4 - 2*x**4 - 2*x**4 + (0*x**3 + 4*x**3 - 3*x**3)*(-3*x + 2*x - x) - 4*x**3 + 3*x**4 + 4*x**3 + 1 + 2*x**4 - 1.\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by (-833)\/(-196)*1*12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -986 - -5?\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -45 (b) 2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -4. Let p(u) = 2*u**3 - 2*u**2 - 3. Let o be p(3). Let d = 33 - o. Solve -2*n - 1 - 9 = k*f, 5*n + 3*f + 25 = d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 3*w + 3*w + (2 - 2 - 2*w)*(-w + w - 2*w) - 29*w**2 - 5863 + 5863.\nAnswer: -23*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 407521938 by 367.\nAnswer: 1110414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89.95 + -90. Which is the nearest to 0.1? (a) v (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 26 + -1)*344. Which is smaller: t or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**4 + 8*d**4 + 8*d**4 - 143*d**2 - d - 22*d**4 + 6*d**4 to the form a*d**2 + t*d**3 + s + b*d**4 + j*d and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 14 = 2*i, -2*m + 374 = 5*i + 397 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1 - 10*t + 11*t - 1. Let r(v) = v. Determine r(z(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxlglwj. Give prob of picking 1 w and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.831167 * 5\nAnswer: -4.155835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 5:44 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100640*v**2 + 137425 wrt v.\nAnswer: -201280*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 74 - 2*q**2 - q - 68 + 0*q + 0*q**3 + 4*q**3. What is the tens digit of j(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -18*p + 26. Let w be q(5). Let m = 29 - w. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6482703 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 724080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (96\/(-112))\/(4\/(-3864))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 953 - 1035. Is -81 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*k + 165613*k**3 + 39*k - 165618*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**2 + 4. Let d = -5 + 15. Suppose 2*r = 3*r - 5*i - 25, 2*r - 2*i - d = 0. Let f(h) = 7*h**2 + 5 + 0 + 0 + r*h**2. Determine 4*f(j) - 5*m(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 1 - (-10 + 10)) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 19*k**3 + 279*k**2 + 2517*k. Let c(m) = 41*m**3 + 553*m**2 + 5036*m. Let s(d) = -6*c(d) + 13*u(d). Find the second derivative of s(w) wrt w.\nAnswer: 6*w + 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -475 - -8?\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558 + 548 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -236*c + 20. Let i(w) = 52164*w - 4416. Let p(x) = 5*i(x) + 1104*y(x). Let s(b) = -7*b**2. Calculate p(s(a)).\nAnswer: -1932*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 1:40 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9750*l - 31464?\nAnswer: -9750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061506143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 38. Calculate the common denominator of 43\/7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*z + 40, -3*f = -6*f + 5*z + 68. Suppose -149*k + 153*k = f. Solve 0 = -7*b + 8*b + k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1060629 and 0.4.\nAnswer: 424251.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 52?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -19*c**4 + c**3 + c**2 + 4. Let u = -31 + 30. Let k(t) = t**3 + t**2 - 1. Let n(f) = u*k(f) + s(f). What is the derivative of n(d) wrt d?\nAnswer: -76*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrm when three letters picked without replacement from {r: 2, m: 3, g: 2, w: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 415, 689, 1055, 1543?\nAnswer: 2183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.06719, -2\/17, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -428578 or 5?\nAnswer: -428578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/430 and 2\/473.\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**5\/60 - v**4\/8 + v**2. Is i(-2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -36.4. Let m = 4 - k. Let p = -4 + 3. Which is the closest to p? (a) m (b) 1\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -515 - -2079\/4. Let a = -5 + n. Sort a, -4, 0.1 in increasing order.\nAnswer: -4, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = c + 1. Let m(v) = -v + 1. Let q(z) = 3*z - 4. Let f(s) = c*q(s) + 2*m(s). Let g(d) = -3*d + 7. Give -14*f(j) - 4*g(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9171 - 8756. Calculate the remainder when o is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -715 - -742. Calculate the remainder when 102 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (221 - 220) + (99 - 111 - (2 + -1 + -3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjetffa. What is prob of picking 1 f and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 6. Let m(t) = t**3 - 7*t**2 + 5*t + 8. Let s be m(6). Solve 4*b + s*d = 7 + 3, z*b - 8 = -4*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 8*y - 340. What is the lowest common multiple of 638 and u(-16)?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132.57 + -4.43. Sort 5, s, 1.\nAnswer: s, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o*o)**31\/(o**(-4)\/o*o*(o*o**0*o*o)\/o*o))\/(o*((o\/o**6)\/o*o)\/o*o*o**(-1\/3))**(-16) assuming o is positive.\nAnswer: o**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p - 14. Let b be m(6). What is the greatest common factor of b and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -390*m + 56960. Calculate t(146).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2038911 or 2038998?\nAnswer: 2038998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-49)\/(-588))\/((-506)\/(-168) - 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466816317 is divided by 1140.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -575 != -575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/125)\/(1\/(-5)*1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.32 - -380791102.\nAnswer: 380791102.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1469439 and 258?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -15 + (32 - 2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/4 + 2\/(-8). Let x = -2 - m. Solve -4*z - 2*r = 22, 0*z - 40 = 5*z + x*r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6))\/((-4)\/18). Suppose -34*o + 3450 = -11*o. Suppose 0 = z*j - o + 60. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -524.9 + 526. What is the fifth smallest value in -11, -0.4, 4, d, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0392 in 0.7, 1\/7, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - w)*((3*w**2 - 5*w**2 + 0*w**2)*(-2 + 2 - 2) - 2*w**2 + 5*w**2 - w**2 + 133*w**2 + 70*w - 70*w).\nAnswer: -139*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(2) + 1 + 0.\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -954348 divided by -4?\nAnswer: 238587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -108.6 times 0.1\nAnswer: -10.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10916 bigger than -10916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2978 + -5 + (-4)\/(-4)*9. Suppose -m - 8939 = -13*i. What are the prime factors of i?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171 * -66\nAnswer: 11286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 + 11 + 6*n + 0*n**2 - 5*n**2 - 5. What is b(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 590*r**2 + 21935*r - 246750.\nAnswer: 5*(r - 50)*(r - 47)*(r - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:03 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 293009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 47*o**2 + 557*o - 22628. Determine i(49).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 655809272*i**3 + 90420544 wrt i.\nAnswer: 1967427816*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1532639.4 to the nearest one thousand.\nAnswer: -1533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 2. Let l be w(4). Let u(f) = -f**3 + 17*f + 16*f**l - 2 + 9*f + 11*f - 20*f. Let g be u(17). Sort 4, -5, g, -1 in descending order.\nAnswer: 4, -1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32*7\/392*14\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -4. Suppose 0 = 2*q + 59 - 59. What is the smallest value in q, i, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 28 = 0, c - 35*b = 32160 - 31910 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-3 - (-4 + -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -18. Suppose -i - 3 = 0, 2*i - 5 - 3 = -2*o. Find the first derivative of 9 - o - 4*s**2 + d wrt s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 1\/2, 3, -4, -12.9?\nAnswer: -12.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1914930 (base 12) to base 8\nAnswer: -24026464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/((sqrt(5) + sqrt(25)\/sqrt(5))*-2))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 448 - 128. Let u(a) = -a**3 + 9*a**2 - 5*a - 11. What is the remainder when h is divided by u(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -18, 92, -1, -11, -5 in descending order.\nAnswer: 92, -1, -2, -3, -5, -11, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 - -22.77. What is c rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98693 divided by 161?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/3)\/((-2)\/3). Let q be 48\/60 + (-41)\/(-5). Let b = v + q. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/2, 0.34, 1.3, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9.6737 * 0.3\nAnswer: 2.90211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 + 3*m**2 - 5*m + 3. What is g(3)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -305535404 (base 6) in base 12?\nAnswer: -1944564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4526000 to the nearest integer?\nAnswer: 2127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (6 + 17)) + -30 - -8\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-1\/10))\/y)\/y**(-2\/5)*y**(-5\/6)\/y**5)**(3\/17) assuming y is positive.\nAnswer: y**(-16\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3764 times -25\nAnswer: 94100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three fifths of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 0, 13 in descending order.\nAnswer: 63, 13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) -119 (c) 0.4 (d) 26 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -32, 4\/5 in decreasing order.\nAnswer: 2, 4\/5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1788 and 38*7\/120 - (9\/5 - 1)?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/31223, 6, 0.5, 5 in increasing order.\nAnswer: 2\/31223, 0.5, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 152 + 0*t**2 - 2*t**2 + 7*t**2 - 152. Let s(c) = 61*c + 4. Calculate s(p(a)).\nAnswer: 305*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + f**2 - f**2)*(2*f**2 - f**2 + f**2)*(-f + 4*f - 6*f + 2).\nAnswer: 6*f**5 - 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 45*r + 4. Let p(c) = 630*c + 55. Calculate -55*i(m) + 4*p(m).\nAnswer: 45*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-70)*-4 + (-4)\/14. Solve 0 + 2\/3*l**5 + i*l - 4\/3*l**2 + 4\/3*l**4 - 2\/3*l**3 = 0 for l.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-10))\/(336\/40 - 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 41 = 65. Let u be (145\/10)\/(1\/h). Is u at least as big as -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3)*b**(-8)*((b\/(b*(b*b\/(b\/((b*b**2)\/b)*b))\/b))\/b)**26)\/((b*b\/b**(-3\/2))**23)**(-14\/5) assuming b is positive.\nAnswer: b**(2471\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 466, -0.04, 0.174?\nAnswer: 0.174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33784 (base 10) in base 9?\nAnswer: 51307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -10.9, 0.1, 0.02, -0.3, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 + 72*u**2 - 442*u + 4. Give z(6).\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 e, and 2 y when four letters picked without replacement from yyevvuvyvv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12505089592 less than 2?\nAnswer: -12505089590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 0*f**3 + 0*f - 1\/4*f**4 - 2*f**2 - 4. Find the second derivative of k(z) wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/6 and -35\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 0)*46326\/27. Let p = b + -1718. What is the common denominator of -46\/11 and p?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and 9365516?\nAnswer: 1030206.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245 - 154 = 13*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**4\/24 - d**3\/3 + 2*d**2 - 6. What is n(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 0*n + 0 + n**2 + 0*n**3 + 1\/120*n**6 - 1\/24*n**4 + 0*n**5. Find the second derivative of r(w) wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -13.3. Which is the biggest value? (a) -2\/19 (b) -2\/9 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-2)*114\/(-171)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 + (906\/9 - 3). Let a = q - 94. Suppose -3*d - 5*g = -755, -a*d = d - 2*g - 1248. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 6*d - 1. Let y be h(6). Let a(q) = -9*q + 1. Determine a(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d - 10. Suppose 3*f + 4 = 5*f. Calculate the remainder when m(-4) is divided by (f + 10)*2\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39275, 39303, 39331, 39359?\nAnswer: 39387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cokq when four letters picked without replacement from uckuuccvocquuc.\nAnswer: 5\/24024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -441060, -441336, -441612, -441888, -442164?\nAnswer: -442440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54*(-4 + (-216)\/(-48)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 6 + 20*x - x**3 - 17*x - 10*x to h + k*x + u*x**3 + l*x**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 101 = n + 161 - 107, 4*f - 3*n = -17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929 is divided by 456?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g - 6784 = -5*a, -3*g - a + 20380 = 0. Let l = g + -3631. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -118. What is the units digit of ((-9)\/4)\/((-36)\/x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -3*w**4\/2 + 7*w + 8. What is the first derivative of b(m) wrt m?\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.7 - 11. Let i be 1\/(-4) + (-1)\/12. Which is the closest to i? (a) 1\/4 (b) -1\/11 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o. Let y(m) = 78*m - 595*m**2 - 125 + 125 - 78*m. What is y(k(u))?\nAnswer: -595*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h + h + 0*h + 6. Suppose 0 = -q + 4*d + 16, -5*q - 38*d + 35*d = 35. Let w(n) = 9*n - 11. Suppose -5*a - 49 = -14. Determine a*o(k) + q*w(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (1 + 1)) + 6 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 42 = -3*t, -1556*t - 5*b = -1551*t + 60 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 15*h + 85 = 2*i, 0 = -5*i + 4*h + 238. Let n = 496 + i. What are the prime factors of n?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -288*x**5\/19 + 723984*x**4\/19 - 456617666*x**3\/19 + 2038386762*x**2\/19 + 1104854448*x\/19 + 141676960\/19 = 0. What is x?\nAnswer: -1\/4, 5, 3764\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 10*k - 415. Let x(h) = 13*h - 412. Calculate -5*p(n) + 4*x(n).\nAnswer: 2*n + 427","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 194*l**4 - l + 5189 wrt l?\nAnswer: 776*l**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 3*q - 4*q)*(0*q + 2*q + 5*q)*(1144 - 1154 - 15*q**2 - 32*q**2) in the form u*q**4 + j*q**2 + h + k*q**3 + g*q and give u.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 - 4.4. Let k = 3.8 + q. Let h = -0.5 + k. What is the third biggest value in h, -4\/3, -0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxkx. What is prob of sequence xkk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 108620 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((((sqrt(90) + (sqrt(90)*-1 - sqrt(90)) - sqrt(90)) + sqrt(90))*3)\/(sqrt(36)\/sqrt(2)))**2)*6.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 13*k + 2. Let v be x(1). Let q be 29\/2 + (-12)\/(-16). Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w. Let f(x) = -3*x - 7. Let q(m) = -2 - 8 + 5 - 2*m. Let i(a) = 5*f(a) - 7*q(a). What is i(n(o))?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 27*l - 179. What is r(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182438791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 34614.48 kilograms?\nAnswer: 34614480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20192 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: Let q(c) = -37*c**2 - 2. Give q(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 3 + 3)*(2*b + 0 + 0) to the form x*b + w and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-8)*(-6)\/(-18))\/(20\/160).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 230 - 230. Solve 4*k = -5*z - 15, p*k = 4*z + 2*k + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 13*y + 9. Let z(x) = -5 - 5 + 25 + 5*x**2 - 4 - 4*x**2 - 7 + 6*x. Suppose 4*n = -2*o - 16, -5*n + n - 16 = 3*o. What is n*u(f) + 9*z(f)?\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 16*d**2 - 38*d - 24.\nAnswer: -2*(d + 1)*(d + 3)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -24*a - 1161. Let y be h(-49). Solve -5*t = -5*k - y, -17*k + 4*t = -16*k + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -512*j + 14 - 14 - 18*j - 243*j to the form m + z*j and give z.\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -19, -5 in ascending order.\nAnswer: -19, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.7540172 to three dps.\nAnswer: -3.754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*n + 1453 - 72, 2*n - 538 = -2*t. Calculate the greatest common divisor of 6 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*i + 6 = 170*i. Suppose -4*s + 4*r - 3 - 1 = 0, -2*s + 14 = 2*r. Let b(o) = s*o + 3 + 0 + o. Determine b(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 466044 and 5126484.\nAnswer: 5126484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -14 + (10 - (17 - 9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -319*o - 9. Let t(c) = -160*c - 5. What is 4*p(m) - 7*t(m)?\nAnswer: -156*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-6 + -1 + 1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111607 + 111750. Suppose 54 - 5 = f. What is the remainder when c is divided by f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.5 - 22. Let d(b) = b**2 - 3*b - 1. Suppose 0 = 4*i - 3*i - 3. Let p be d(i). What is the closest to p in -0.3, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 14*y**2 - 74*y - 7. Let j = 136 + -129. List the prime factors of q(j).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 96\/(-105) - 12\/(-10). Is 0.52 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from dwwwbswwdwwxdx?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2104 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5555 take away -15?\nAnswer: 9.4445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 5*z + 3*m, -2*z - 14 = 60*m - 61*m for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 1. Let o(p) = -4*p - 3. Let x(i) = o(i) + 3*v(i). Let m(h) be the second derivative of -7*h**4\/4 - 21*h. Calculate x(m(n)).\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326244604?\nAnswer: 2, 7, 23, 506591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 206*n - 8221. Calculate a(239).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10423.5 + 10424. Which is the biggest value? (a) 16 (b) x (c) -13 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001017094 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 636*b**2 - 26460*b + 370446. Let q(x) = x**3 + 1906*x**2 - 79380*x + 1111336. Let m(a) = 3*q(a) - 8*y(a). Suppose m(i) = 0. Calculate i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(468) - (sqrt(468)*1*6 + sqrt(468)) - (sqrt(13) + -3 + sqrt(52)\/sqrt(4) + sqrt(13) + sqrt(13))*-2).\nAnswer: -28*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13099*c - 10 = -g - 13100*c, 6*g = 5*c - c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9557 - -24956. List the prime factors of p.\nAnswer: 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/sqrt(3))\/sqrt(3) + -1.\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 31*v**2 + 5*v + 14. Let x(m) = 66 - 27 - m**2 - 7*m + 0*m**2. Let b be x(-8). What is the units digit of i(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2652605*r**3 + 1753310*r**2?\nAnswer: 15915630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -506 (c) 1\/4 (d) 0.1634\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 9 = 3*b - 5*p, p = -3. Let n(v) = -25*v - 236. What is the remainder when 18 is divided by n(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/15)\/((-8)\/(-804)). Sort 1, -0.5, d.\nAnswer: d, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008225 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375) - -6*1*sqrt(1375))\/((2*sqrt(490) + sqrt(490))\/sqrt(2)).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/355 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + -40. Let o = -19 + q. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35490108 greater than 35490109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 9731.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t + 63. Let b be f(20). Let s(m) = 6*m**2 - 17 - 94*m + 117*m - 3*m**2 + 3*m**b. Let u(c) = c**3 + c**2 + 8*c - 6. What is -6*s(z) + 17*u(z)?\nAnswer: -z**3 - z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 46 = -3*o, 0 = -4*o + 2*o - 5*t + 18. Calculate the remainder when o is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201020220202200 + 12?\nAnswer: 1201020220202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-27) - (-25)\/9. Suppose 0*z - o = -z. Suppose 3*x + 5 = 5*i + 88, z*x + 4*i - 101 = 0. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 3711008.\nAnswer: 11133024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 126*g**2 - 125*g - 192. Let q be k(64). Solve q = 3*l - 24*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3, -0.9, -6\/641 in increasing order.\nAnswer: -0.9, -0.2, -6\/641, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -74334 (b) -1\/5 (c) 5\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -0*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -298043 from -0.01.\nAnswer: 298042.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 100 = l + 2*y, 0 = 4*l + 5*y - 145. Let p(h) = 4*h - 6. Let u be p(8). Let d = l - u. Solve b = -d*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2665 and -57?\nAnswer: 151905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 1708536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaffbffffax. What is prob of sequence aff?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/30)\/((-83)\/498).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1105.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -1600 in decreasing order.\nAnswer: 5, -2, -1600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, e: 5, y: 4, t: 1}. Give prob of picking 1 y and 1 e.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 548.\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 171\/(-45) - (1 - (-8)\/(-10)). Let w be ((-3)\/k - 6\/8)\/(-2). Suppose w = a + 4*u - 46, -u = -a - 6*u + 43. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**7\/280 - 13*h**6\/20 - 507*h**5\/10 - 2197*h**4 - 57122*h**3 + h**2 - 74. Determine x so that m(x) = 0.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*p = -76*p - 2232. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28898816 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, v: 10, u: 4, b: 1}. What is prob of picking 2 w?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 910.9707kg in milligrams?\nAnswer: 910970700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -180 + 179.8. Which is the nearest to s? (a) -29 (b) 1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 879.66\nAnswer: -175.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (90\/(-20))\/((-3)\/12). Suppose k - 114 = -q*k. Solve -4*r = -k*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 8*g**3 - 4*g**2 - 5*g**3 - 2*g**3 - 5 - 7*g. Is w(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, d: 2, a: 3}. What is prob of picking 1 g and 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*(19 - (-40900)\/(-2100)).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114196971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 36. Let m = -213 - -84. Let a = m - -137. Is a at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*d**2*z - 1049*d**2 - 26605*z wrt d?\nAnswer: 36*d*z - 2098*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 - 12.4. Let y = -14 - v. Which is the smallest value? (a) -5 (b) 2\/21 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(182\/70) + 28\/(-6). Let p = -1 - -6. Which is the second smallest value? (a) 3 (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-7))\/((-54)\/168) - -2. Let r = 4318\/13 + -332. Which is the second smallest value? (a) 0.4 (b) k (c) r (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 21\/4 and -24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/9)*c*(((c\/(c*c*c*(c*c**(-5))\/c*c))\/c)\/c)\/c*c*c**(3\/5)*c**(-7)\/c)\/((c**1)**(-40)*(c**(-1\/3))**(-48)) assuming c is positive.\nAnswer: c**(832\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 76. Suppose 2*l - 12 - 98 = 4*j, 5*j = 5*l - 255. What is the remainder when l is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -761 = -334*x - 221 + 1464. Solve -x*q - 1864 = -1906 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573133271 to the power of 1\/2, to the nearest integer?\nAnswer: 23940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74 + (-1)\/(-2)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*a - 4*u, 3*a - 5 = 2*u - 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 11) in base 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -222 - -573. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:50 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5501894571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69776 + -46088. Is y a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1362683.99993 - -1362697. Let z = d - 13. Round z to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47a720 (base 12) to base 7.\nAnswer: -12564255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6.68512 hours?\nAnswer: 24066.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 20 - 14. Which is the fourth biggest value? (a) f (b) -2\/5 (c) -2\/15 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -45.9. Let q = 15 + y. Let j = 4.1 - 4. Is q at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 42 = -2*f. Sort -2, 2, f, 0 in decreasing order.\nAnswer: 2, 0, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h + 40. Let p(l) = -18*l + 120. Let k(z) = 7*b(z) - 2*p(z). Let w be k(6). Solve -f = 4*j - 9, -3*f - w*j = -2 - 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1, -0.73043, -19?\nAnswer: -0.73043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1315, 2601, 3873, 5125, 6351, 7545, 8701?\nAnswer: 9813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:08 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -46. Let w(q) = q**3 - 9*q**2 - 9*q + 22. Let z be w(k). Suppose z*f - 27*f = 240. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*sqrt(84)*-2 + sqrt(84) - sqrt(84) - -2*sqrt(84)*-1))\/(1*(6*((-2*sqrt(300) - sqrt(300)) + sqrt(300)) - sqrt(300))).\nAnswer: -48*sqrt(7)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 4*z + 3*j, 3*z + j - 28 = z. Let d = -11 + z. Sort -5, d, -1 in decreasing order.\nAnswer: d, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*r - 27*r. Suppose 5*m - 2*k - 1290 = -r*k, -1032 = -4*m - k. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 16*x**2 + 1906*x - 1906*x as r + b*x**2 + q*x and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*(y*y**(1\/5))\/y)\/((y**4\/y)\/y))\/(y**(-2\/9)*y**(-7)*y))**(-46))**(1\/34) assuming y is positive.\nAnswer: y**(-5612\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + i + 2 - 3482*i**2 + 33*i**3 + 3482*i**2 to s + r*i**3 + z*i + a*i**2 and give r.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -446 + 247. Let u = 198.9999783 + v. What is u rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(-88)*1498 - 6\/1. Is f less than 182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-10\/7)*k*k\/(k**(-7\/6)\/k))**(-1\/25))**(-24) assuming k is positive.\nAnswer: k**(628\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2 = -2*d, 3*v + 1 = -5*d - 4. Let x = d - -3. What is the second derivative of 0*c**2 + 2*c**2 - x*c + 0*c**2 + 5*c wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 5*i**6 + 17*i**2\/2 + 13. What is the second derivative of q(m) wrt m?\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4*l + 48 + 588 = -113*l + 81, 3*u = 3*l - l + 40 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6707*j - 883335 = -279705 for j.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37918494*b**4 - 5*b**3 - 698914349*b.\nAnswer: -455021928*b**2 - 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 - -7.097?\nAnswer: 9.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*w + 87*w + 4*p = 176*w - 12, 0 = -3*w + p + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -30291 and -29546 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 711 = 3*o, 14 = -5*k - 1. Let f = -96 + o. Suppose 3*y + 20 = f. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from tyttjqtjyvj.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**3\/3 + 7. Let i(j) = -10*j. Determine i(w(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 110 = -36. Suppose -91*o + 61*o + 120 = 0. What is the smallest common multiple of v and o?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -2 + 5 + (-7 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q + 3. Let n(v) = -18*v - 13. Let c(r) = -26*d(r) - 6*n(r). Give c(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1206.7 to the nearest 10.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -660+-3\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 108*r + 560, -961*t - 3*r + r = -961*t - r - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81121 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: Suppose -4*k + 0*k - 20 = 0. Put 0, k, 2 in decreasing order.\nAnswer: 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178605 = 23*c - 8*c. Suppose 1726*f + c = 1733*f. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000110010 - 10?\nAnswer: -101000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3454.\nAnswer: 2, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 g when three letters picked without replacement from {g: 3, i: 3, p: 5}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1124\/92579 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbzabbzba. Give prob of sequence bbza.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t = 120 + 342. Let u(y) = -y**2 + 22*y + 14. What is the smallest common multiple of 1 and u(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/sqrt(360) + sqrt(330)\/(sqrt(6) + sqrt(42)\/sqrt(7)))\/((sqrt(150)\/(sqrt(5) + sqrt(20)\/sqrt(4)))\/((sqrt(18)\/sqrt(3) - sqrt(6))*4 + sqrt(6))).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:46 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138*y = 112*y - 34884 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57 or -2160\/37?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13520 and 11080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24, -4\/3, 1\/7?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284 and 3487662.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = o - 12. What is the third derivative of o*a**2 + a**3 - 45*a**2 + 13*a**2 wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -9 (c) -20 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 7350*a**2 + 471831*a + 479184.\nAnswer: 3*(a - 2384)*(a - 67)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f - 3*f. Let t be 0 + 5 + f - -1496. Round t to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107875 is divided by 88.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 l, and 1 k when three letters picked without replacement from {s: 5, k: 1, z: 1, f: 1, l: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1923097 = -89*y - 175*y + 271799. Is y a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340629, 681259, 1021887, 1362513, 1703137, 2043759?\nAnswer: 2384379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82 - -86. Solve -t + 15 = a*w, -5*w + 35 = 10*t - 12*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7705409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -331*f - f**4 + 149*f - 148*f - 416*f + 570 + 152*f with respect to f.\nAnswer: -4*f**3 - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**3 - 3392*z**2 - 3406*z - 15304. Give j(-847).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 + 202. List the prime factors of r.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 9. Let w(v) = -h*v + 5*v - v + 4 + 6. Let r = -996 + 989. Give w(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346 = 4*h + 2*y - 342, -2*y = -h + 162. Let q = -156 + h. Solve q = 5*o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5465139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -464 + 454. Let u(t) = -t**3 - 9*t**2 + 10*t + 14. Calculate u(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7424\/2769 - 14\/213. Find the common denominator of ((-111)\/481)\/((-9)\/(-102)) and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1*(sqrt(405)\/(sqrt(36)\/sqrt(4)) - -4*(sqrt(45) + sqrt(720))))*3)**2.\nAnswer: -2268*sqrt(5) + 178641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*p - 113, 2*u = -4*p + 130 - 32. Let l = 0 + p. Suppose 21*y = -38*y - 22*y + 4131. What is the remainder when y is divided by l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*q + 2. Let r = 11 - 11.8. What is the second smallest value in -5, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 2:44 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 578071800 divided by -1880.\nAnswer: -307485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.125 + 8.7. Let s = -0.055 - u. Let w = s - -1.03. Which is the closest to 1\/2? (a) 2\/7 (b) -1\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*f + 7. Which is smaller: f or 21\/4?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4) + 18\/36.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.06, 1\/3, 11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 182 - 127. Suppose 15*b = 5 + x. Let z = 7 + -4. Solve 0 = -z*v - v - b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24888 and 2.3656.\nAnswer: -24885.6344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 19.5. Let f = k + -9. Which is the biggest value? (a) -3 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174838120 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9056184 + -24356184. Round q to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**3 - 11*i**2 + 253*i + 719. Determine m(-10).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124 - -621\/5. Suppose 2\/5*f + 3\/5*f**5 + 1\/5*f**4 + 0 - t*f**2 - f**3 = 0. What is f?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 7. Let s be l(-6). Let o be (-6 + 4818\/756)*16 + -6. Which is bigger: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 2:11 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*c - 198 = 17*c. Calculate the highest common factor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a\/a**5*a)\/a*a**(-4\/3))\/(a*a**(-2))**20)\/(a*a*a\/a**(-1\/6)*a**8*a**7\/((a\/a**(-1\/12))\/a*a*a)) assuming a is positive.\nAnswer: a**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10698, 10744, 10810, 10896, 11002, 11128, 11274?\n\"Answer: 10*f**2 + 16*f + 10672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -507742 or -508127?\nAnswer: -507742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28755 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -70*m**2 + 141*m + 246. Let x(f) = 14*f**2 - 28*f - 49. Let t(q) = 2*a(q) + 11*x(q). Is t(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v**2 - 9*v**2 + v - v. Let b(n) = n**2 - 23*n. What is b(w(t))?\nAnswer: t**4 - 23*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 92921, 185862, 278803?\n\"Answer: 92941*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1630b - 2?\nAnswer: -1630d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -35. Suppose i*z - 5*j - 22 = 5, 5*z - 5*j = 55. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/v*v**2*v)**(-22) assuming v is positive.\nAnswer: v**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:58 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - i - 3 = 0, 5*i + 4 = -5*y - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -95*g + 108. Let i(b) = -77*b + 90. Let z(s) = -6*i(s) + 5*k(s). Let m(x) be the first derivative of x**3\/3 + 1. Determine z(m(c)).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 59\/(-708) + (-85)\/(-12) + (-1 - -8). Calculate the greatest common divisor of 8057 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 48 = 4*i, 3*i + 2 = 3*l - 2*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1528 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-1)\/8*-2). Let j = 9 + -6. Suppose 2*l - 5 = -j*l. Put y, l, 4 in decreasing order.\nAnswer: 4, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 1, -5, 5 in increasing order.\nAnswer: -46, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2135103919.\nAnswer: 13, 467, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1. Let n(d) be the first derivative of -d**3 - 4*d - 1. Let y = 35 + -39. Let j(v) = y*m(v) - n(v). Let g(l) = 2*l**2. What is j(g(i))?\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11912\/9 + -1326. What is the common denominator of k and (-10)\/9 + (9\/(-5))\/(78\/(-130))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 0)\/(-8)*(-14 + 8). Is -13 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1457 (b) -0.5 (c) 2\/9 (d) -2\/5 (e) -4\/181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1381 - -22.7681. Let q = -23 + m. Round q to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 413\/(-177)*(-8)\/(-42).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49439*y - 37086 = 51205*y for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 19*j**2 - 293*j - 13280. What is i(-20)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**3 - z**3 - 4*z**3)*(-4*z + 4*z + 4*z) + 17 - 17 - 34*z**4 + (-z**2 + 4*z**2 - z**2)*(-2*z**2 + 4*z - 4*z).\nAnswer: -34*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 1:55 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/19 - 616*n**2\/19 - 3752*n\/19 - 5024\/19.\nAnswer: 2*(n - 314)*(n + 2)*(n + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1718, -5, -6, 0, 107, 3 in decreasing order.\nAnswer: 1718, 107, 3, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 8*d**6\/3 + 8*d**5\/5 + 3*d**4\/2 + 5*d**3 - d**2 - 2*d + 11858. What is the third derivative of u(h) wrt h?\nAnswer: 960*h**2 + 192*h + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1831*a + 10797. What is the least common multiple of 884 and o(3)?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.8302 and 0.32.\nAnswer: -0.905664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 6*j**2 - 6*j. Let l(m) be the second derivative of -m**5\/20 + 5*m**4\/12 + 5*m**3\/6 + 23*m. Calculate -5*b(r) - 6*l(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -106530 divided by -21306\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -3444293 and -3444292 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*d - 286*d**2 - 57*d + 3*d**3 - 37*d - 96 + 209*d + 32*d**4 + 187*d - 5*d**5 = 0.\nAnswer: -3, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*k + 9443 = -253*k for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 11*s**2 - s + 10. Let n be q(11). Let c(w) = 791*w**3 + 2*w**2 - 1. Let y be c(n). Is (4 - (-18)\/(-4))*y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/4, 2, 6, 41?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 4*q + 9*q)*((-4*q + 0*q + 2*q)*(1 - 1 - 2) - 6*q + 15 - 15 - q + 2*q + 18*q + (1 + 2 - 5)*(-2 - q + 2)).\nAnswer: 76*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183574881?\nAnswer: 127, 347, 49549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**4\/7 - 5456*y**3\/7 - 191232*y**2\/7 = 0.\nAnswer: -1328, -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + x - 1. Suppose 4*v + 4*g - 9 = 3*v, -2*v + 12 = 5*g. Let i(f) = f**2 - 8*f - 1. Let j(p) = v*i(p) + 2*q(p). What is the units digit of j(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 3*s**2 + 0*s**2)*(13*s**2 + 8*s**2 - 8*s**2)*(-2 - s + 2*s + 0).\nAnswer: 26*s**5 - 52*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 13*c**2 + 15*c - 12. Calculate the lowest common multiple of 1 and d(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4300)\/(-30)*(-24)\/(-10) is divided by 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 12:32 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 3) to base 15\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270590 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -72\/55 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d\/d**(-2\/7)))\/(d*((d*d**(-23))\/d*d)\/d)*d*d**11*d**(-3) assuming d is positive.\nAnswer: d**(201\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8330*g - 8100. Calculate d(-1).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.527 and 15.\nAnswer: -7.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*o - 22, -5*o = -8*o - 4*n + 19. Sort 2, o, -66 in decreasing order.\nAnswer: o, 2, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/120*4)\/((-2)\/(-30)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-15 - -2) + (9 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 780871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0 - 6 = 0. Suppose -x + 0*r + 12 = w*r, -5*x = 2*r - 8. Solve -3*t = 3*m - 3, x = -3*t + m - 0*m + 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*g**2 + 11 - 4 - 11 wrt g?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 + 0*g**2 - 31*g**3 - 2*g + 30*g**3 + 10 in the form k*g**2 + m*g + a + q*g**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*k - 2, -o = -0*o + 5*k - 29. Solve 3*s + o = 5*c, -4*s + 16 = 2*c + s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*t = -44*t. Suppose 74 = 4*l - 50. Suppose m + 0*m - l = t. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 41*k + 89 = -43*k. Which is the biggest value? (a) k (b) 3 (c) -784\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7 + 5*q - 6*q - 7. Let u = 11 + -7. Let r(j) = 4 - u + 2*j. Determine r(t(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108352.\nAnswer: 2, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 12. Determine v(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 49485 divided by -15\nAnswer: -3299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.3 - -11.3. Is f at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1052\/105 + -188261\/18165. Let f = t - -2\/173. Let v = 0 - 1. Which is the smallest value? (a) f (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 4, u: 2, k: 2, l: 1}. What is prob of picking 1 u and 1 l?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14562696403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11339, 11346, 11353, 11360, 11367, 11374?\nAnswer: 11381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 11 + -2 - (-2 - -9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q**5 - 152*q**4 + 838*q**3 - 812*q**2 - 312*q + 432 = 0 for q.\nAnswer: -2\/3, 1, 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*j - 4*u - 160, -2*j - 5*u = -94. What is the hundreds digit of 846 + 1 + j\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 45119, 45119, 45109, 45083, 45035, 44959?\n\"Answer: -z**3 + z**2 + 4*z + 45115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 - 2*l**2 - l + 2. What is s(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*i - 16 = v, 0 = -3*i + 3. Let c be (-24)\/v + (-18)\/27. Suppose -5*x + c*j = 42 - 490, -5*j = -5*x + 445. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 + 2.2. Let o = 83\/3 - 27. Let p(v) = -v. Let n be p(0). Which is the second biggest value? (a) o (b) n (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56)\/(-90) - 4\/10. Let d = -0.8 - -0.5. What is the smallest value in d, h, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8052 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -90, -137, -184?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -147*i**4\/4 - 21622566*i**3 - 6361006778241*i**2\/2 + 2726157676590*i - 2336709984075\/4 = 0.\nAnswer: -294185, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6176 = -5*i + 5629, -2*i + 4*a + 4708 = 0. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 10*c + 1 + 7 + 0 - 6. Let i be p(0). Solve -1\/3*v - 13\/3*v**4 - 4\/3*v**5 + 0 - 7\/3*v**i - 5*v**3 = 0 for v.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 - -2 - (3 + -7 + 11 + 13).\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 18*r**2 - 4*r - 1. Let g(v) = 19*v**2 - 5*v - 1. Determine 6*g(w) - 7*o(w).\nAnswer: -12*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*b + 10 = 0. Let x = 27 + b. Let r(p) = p**2 + p + 87. What is the remainder when r(0) is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/13))**(-7)\/(t**10\/t**(2\/25)))**(-4))**(-2\/5) assuming t is positive.\nAnswer: t**(-28592\/1625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890241621.\nAnswer: 3, 197, 1013, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -4017 = -4017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = c - 3 + 5, 5*t - c = 14. Solve t*n + 6 = -0*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -975\/122 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 177480?\nAnswer: 177480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - -1 - 7 - (9 - 16)) + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w - 1. Let v be n(1). Let c(g) be the first derivative of -2*g - 3 + g**3 + v - 1. What is the first derivative of c(i) wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**4\/3 - 40*p**3\/3 + 40*p**2 - 160*p\/3 + 80\/3 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1363 * -3.8\nAnswer: 5179.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 1. Let f(i) = -21*i - 2*i**2 + 22*i + 0*i**2 + i**2. What is -2*f(r) + y(r)?\nAnswer: 2*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 626 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q - 62. What is h(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 - (-1232)\/99 - (-1966371)\/27 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/230412 and -83\/2937753.\nAnswer: 11751012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**5 - x**4 + x**3 + 1. Let u(c) = 7*c**5 + 6*c**4 - 6*c**3 + 7*c - 6. Let k(a) = 6*d(a) + u(a). What is the second derivative of k(m) wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-5609895\nAnswer: -22439580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 22, -13, -90, -221, -418, -693?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - h + 5*h)*(2*h + 2 - 2)*(4 - 5 + 3)*(-2 + 3 + 2).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2015*s**2 + 32233*s + 108. Calculate i(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171683 and 170.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 + 7226*s**4 - 5*s**3 + 7*s**2 + 1 - 7230*s**4 + 1 as w + x*s**2 + n*s + z*s**4 + r*s**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 241*f**5 - 8*f - 10 wrt f.\nAnswer: 4820*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*j + 2*j - 84*j + (2*j - j - 2*j)*(9 - 3 - 3) to the form w + i*j and give i.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -502540 divided by -10\nAnswer: 50254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 1. Let v be (-6)\/4*(1 - 3). Let k = v + -2. Suppose 2*z = -4 + 16. Let i(d) = d**2 - 4*d + 4. Determine k*i(a) + z*t(a).\nAnswer: a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - b + 37, -5*b = -4*h - 0*b + 5. Calculate the lowest common multiple of h and 1569.\nAnswer: 15690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12 + 1)\/(1\/(-20)). Let k(a) = 2*a**2 - 19*a - 23. Let o be k(12). Let b = x + o. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*k**3 + 26*k + 112*k**3 - 26*k + 133*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242568819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 4*u - 2*u)*(-138 + u**2 + 64 - 119*u + 69).\nAnswer: -6*u**3 + 714*u**2 + 30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 0*o**2 + 5*o**2)*(2*o**2 + 2*o**3 - 2*o**2) + 2*o**4 + 2*o**5 + 5*o**2 - 2*o**2 + 9616 - 9730.\nAnswer: 6*o**5 + 2*o**4 + 3*o**2 - 114","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22781402 divided by -2\nAnswer: 11390701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**5 - 3135*r**4 - 736330*r**3 - 76658390*r**2 - 2960468145*r + 3037866005.\nAnswer: -5*(r - 1)*(r + 157)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 14. Let w be n(14). Suppose -3*d - 2*d = w. Suppose -8*y + 3*y + 10 = d. Solve 5 = -y*m + 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 197*k - 131. What are the prime factors of p(4)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 194.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzzzzyzzz. What is prob of sequence zzyz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1174cb7 + 5?\nAnswer: -1174cb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4064336?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256629450 by -51.\nAnswer: -5031950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -14*r. Let y = -6 - -6. Let c(t) = t**2 + t - 2. Let l be c(y). Let i be f(l). Solve -2*p - i = 4*g - 4*p, p = -3*g - 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-8)\/12*(-9)\/(-2). Solve y*b = -b + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 u when three letters picked without replacement from {q: 4, d: 3, u: 2, e: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 74*l**4 + 4*l**5 - 7*l**4 + 24903*l**3 + 9*l**4 + 144*l**2 - 24911*l**3 - 72 = 0.\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/6334 + -6337\/19002. What is the nearest to -1\/6 in 5, -2, x, -20?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven eighths of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/66 and 19\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -9*o + 16 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 9 in descending order.\nAnswer: 9, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-54)\/(-39))\/((-39)\/(-676)). Solve 2*o - b = -4*x, 4*x + 6*o = 8*o + 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4973276.\nAnswer: 2, 7, 11, 67, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from gssks.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 + 1.8. Which is smaller: 4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-3*h**5 + 4*h**4 - 4*h**4) - 2*h**5 + 0 + 0 - 6*h**5 + h**5 + h**5 + (0*h - 3*h + 5*h)*(-3*h - 27*h**4 + 3*h).\nAnswer: -63*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -62, 4\/3, 1, 0.94, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2396, 2402, 2412, 2426, 2444?\n\"Answer: 2*w**2 + 2394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**4\/15 + 2*z**3\/3 + 8*z**2\/5 + 2*z - 45. Factor y(q).\nAnswer: 4*(q + 1)*(q + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60284 and 41931828.\nAnswer: 8612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 15, -35\/2, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 16*r**2 - 21 - 18 - 11 in the form j + p*r + z*r**2 and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 7) + 11 + 1 + 6. Solve 6 - 10 = -d - 3*m, d + q = 5*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7847 + 1.7847. Which is bigger: x or -25674?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 13651*x + 163816. Let d be w(-12). Find f such that -9\/4*f**2 + 3\/4*f**d + 0*f**3 + 0 + 3\/2*f = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (265 - -14) + -1 + -3. Suppose -13*y + 18*y - r = 0. What is the remainder when y is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4088 + -2394. What is the highest common factor of h and 308?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.44 - 0.54. Sort -19, c, -1\/7.\nAnswer: -19, -1\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:30 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(270)*-1 + sqrt(270))\/sqrt(10)*5)**2 + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1\/4 (c) 10 (d) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -369049 (base 11) in base 10?\nAnswer: -583031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 2*o + 2. Let q be b(3). Let j be (12\/q)\/((-3)\/10). Solve -j - 3*w**2 + 3*w**2 + 10*w**2 + 6*w = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - 15*m = 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 4 (c) -0.1 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 0, -0.29 in descending order.\nAnswer: 6, 3, 0, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -29) + (6 + -5 - 0) + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2331, 4663, 6995, 9327, 11659?\nAnswer: 13991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144 + 224. Let q = 94 - 67. Calculate the remainder when 6416\/x + (-1)\/5 is divided by q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + i**2 - 3. Let w be y(0). Let m = w - -18. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*t + 70. Let l = 3 + -3. Let u = 8 - l. Calculate the remainder when t is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -6. Suppose 5 + b = 4*t. Suppose 0 = -t*x + s + 4 + 29, 16 = x - 2*s. What is the highest common divisor of 40 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41508 and 94572?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 5815*t - 20 - 22 - 12 + 73)*(-3*t + 2*t - 3*t) in the form s*t**2 + o + j*t and give s.\nAnswer: -23260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -233 - 896. Let x = -3358\/3 - b. Calculate the common denominator of -1\/27 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j + 3. Let p(c) = -9*c + 5. Let q(a) = 2*a + 31. Let k be q(-12). What is k*h(o) - 4*p(o)?\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 11572*h + 11620*h + 0.\nAnswer: 48*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11064 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: Which is bigger: -26373213 or -26373219?\nAnswer: -26373213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/304752 and -9\/482524.\nAnswer: 5790288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 1, h: 1, j: 1, t: 1}. What is prob of picking 1 n and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -6 (c) 3\/5 (d) -9417 (e) 0.5 (f) -3 (g) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (3 + -3 + (4 - 4) - (40 + -37))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/1040*16*39\/(-195).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 795830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**5 - k**5 - 2*k**5)*(-4 + 2 + 1) + 59*k**5 - 46*k**5 - 178*k**5 - 3*k**2 - k**5 + 3*k**2.\nAnswer: -165*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -530?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 16184?\nAnswer: 178024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 3*f + 10. Let g be c(6). Suppose -4*k = -4*q - g, 2*k - 57 = -5*q - 21. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3322111, -3322113, -3322115, -3322117?\n\"Answer: -2*k - 3322109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-60)\/(-25))*(8352\/(-20))\/87?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, d: 1, e: 1, h: 1, y: 1}. What is prob of picking 2 m and 1 y?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 6*s + 36. Let v be (-12)\/2*s\/(-18). Let h(l) = -l + 2. What is h(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**9\/10584 - k**8\/2940 + k**6\/630 - k**5\/420 + k**3\/3 - 2*k**2. Let c(i) be the first derivative of q(i). Factor c(o).\nAnswer: 2*o*(o - 1)**3*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38328167.9212 + 51439.6212. Let f = v - -38276813.3000041. Let y = -85 + f. What is y rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6320268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 16*l**3\/3 + 616*l**2\/3 + 2323*l + 6348 = 0.\nAnswer: -69\/4, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 7:19 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 71777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1326 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, 1 m, and 1 i when four letters picked without replacement from {i: 2, m: 1, b: 1, j: 3, k: 1, w: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5*v + 7 = 0, 0 = g + g - 2*v + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3*x**2 + 9*x**3 + 3*x - 1 - 3*x in the form v*x + d + r*x**2 + q*x**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*t + 8. Let d be 15\/25 - (-44)\/10. Suppose -d*j = -2*u + 37 - 4, 0 = -4*j - 5*u. Sort j, t, 1 in decreasing order.\nAnswer: t, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-4) + (-65)\/(-26).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*t - 212 - 166 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 t, and 1 n when three letters picked without replacement from nxxnnxxnnwvtwpv.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 600*p**3 - 15*p**2 - p - 5. Let j(k) = -601*k**3 + 9*k**2 + k + 6. Let b(u) = 5*j(u) + 6*z(u). Find the third derivative of b(g) wrt g.\nAnswer: 3570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-7) - 1)*133\/(-38). Is (z\/(-15))\/(1 - (-103348)\/(-103340)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 647*r**2 - 99*r**2 - 224*r**2 + 698*r**2.\nAnswer: 1022*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 158009970 - -1591?\nAnswer: 158011561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from yawlalylalladhdhaad?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(21)\/sqrt(7)))\/(sqrt(12) + (sqrt(60)*1 - sqrt(60))\/sqrt(5))*4.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/9132 and -37\/63924.\nAnswer: 63924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 2)*(-6*q**2 + 2*q**2 + 2*q**2) + 2*q**2 - q**2 + 3*q**2)*(-2 + 0 + 4).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 - 89\nAnswer: -89.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -4)*2\/(-4). Suppose 0 = -4*f - i + 13, 3*i + 3 = 2*f - w. Suppose 4*d = 2*g - 4, f*g + 0 = d + 1. Sort -3, 2, d in increasing order.\nAnswer: -3, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from drfrrvvrerfereeerr.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 3 (c) -1\/4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*w = 0, 3*n - 2*w + 12 = 8*n. Let f(d) = -130 + n*d**2 + 3*d**3 - 4*d**3 + 135 - 4*d. Determine f(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 6*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 - 4*i**2 - 2*i - 226*i**3 + 819 - 821. Let l be t(2). Find the common denominator of l\/27*(-6)\/8 and -18\/17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -15. Let r be ((-16)\/20)\/((-4)\/10). Suppose -5*t = -g - 95, -g = t + r*g - z. What is the remainder when t is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.82 + 0.18. Let y = v + -4. Let l = -49 + 149\/3. What is the nearest to 1 in y, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 30 = -2*t, 4*j + 5*t = -52 + 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 130558?\nAnswer: -65279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/1 + (-60)\/(-10). Let f be (-1674)\/(-21) - (0 - (-6)\/(-21)). Suppose -q*m + f = -m. 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: Convert 64368.88 nanograms to micrograms.\nAnswer: 64.36888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 191*a**3\/3 - 325*a**2\/2 - 305*a. Find the first derivative of b(k) wrt k.\nAnswer: 382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1087683 is divided by 155380.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23c + 7?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + sqrt(847)*-1*1 + 5*(4 + sqrt(847)*1) + -2)**2.\nAnswer: 5808*sqrt(7) + 42108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(288))**2 + -5.\nAnswer: sqrt(2) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4914199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/(-192)*3)\/((-30)\/(-444)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d**3 - 51*d**2 + 132*d - 67. Determine j(2).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/2)\/(7\/14). Suppose 0 = d*z - z - 20. Suppose t = 5*p + 85, -165 - 60 = -z*t - 3*p. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21478 + 63715. Suppose -5*x - h + 70399 = 0, 3*x + 37*h - v = 34*h. Round x to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-6) + 26\/12. Which is the third biggest value? (a) 0.5 (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**2\/2 + 7*q + 23. Let c be r(-4). Suppose -2\/15*f**4 + 2\/3*f**c - 8\/15*f - 4\/5*f**2 + 16\/15 = 0. What is f?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 122*i + 41. Is v(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -30*r**2 + 2. Let q(b) = -22*b**2 - 297*b + 22. Let x be q(-13). Let a(v) = 2460*v**2 - 165. Calculate x*g(f) + 2*a(f).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2 - 14. Suppose 2*n = l*w + 54 + 6, -74 = 4*w + 5*n. Let j = 0 - w. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 1\/5*l**5 + 162*l + l**2 + 0 - 1\/3*l**4 + 1\/15*l**6 - 1\/3*l**3 - 1\/21*l**7. Factor c(m).\nAnswer: -2*(m - 1)**3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(3) - sqrt(3)))**2 + -5*sqrt(12).\nAnswer: -10*sqrt(3) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24850 is divided by 6204.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -10. Solve -r = -5*r + m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 31 - (5533 + -5599).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 + 2*l - 2. Let j be k(2). Let c = -10 + j. Let s be (3\/2)\/(3\/2). Solve s = 5*p - c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 3*w - 7. Let x be n(-5). Let s(y) = 2*y - 4. Let k be s(x). Solve -t - 3 = k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 7. Let i be h - -3 - (-1)\/(-2). Factor 1 - 1\/2*g**2 + i*g.\nAnswer: -(g - 2)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128816 - -89401. Let l = q - -4848107\/123. What is the common denominator of -59\/8 and l?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 10:18 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001413326 to 7 decimal places.\nAnswer: 0.0000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 - 10*f**4 + 0*f**4 + (-14*f**3 + 6*f**3 - 13*f**3)*(1 - 1 + f).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**3 + 1221*b**2 - 277*b - 8496. Calculate c(305).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.240586 + -0.1\nAnswer: -0.340586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 384 and 15325344?\nAnswer: 61301376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -25. Which is smaller: b or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 36 = -2*c, -5*c + 85 = -3*l - 7. Calculate the greatest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 126.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98080698 to the nearest integer?\nAnswer: 9904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 625, 640, 669, 718, 793?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-1))**(3\/2)*(j*j*(j\/(j\/j**(-2\/9)))\/j*j)**35 assuming j is positive.\nAnswer: j**(1147\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4396566 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11620836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(16)\/sqrt(3872) + 1 + (sqrt(2)*4 + 5)*4 + 5.\nAnswer: 353*sqrt(2)\/22 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*c - 29 = 0, -2*c + 51 - 78 = -5*a. Put 371, -2, 2, a in increasing order.\nAnswer: -2, 2, a, 371","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a7 (base 12) in base 13?\nAnswer: -17b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppp. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 4321051?\nAnswer: -4321052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8165 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1052, -1524, -1996, -2468, -2940?\nAnswer: -3412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 5*k**2 + 5*k - 24. Let b be j(5). Is 4787*b + 17 + -23 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - 133. Let p(k) = -6*k**2. Calculate p(n(t)).\nAnswer: -24*t**4 + 3192*t**2 - 106134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/5 - 219*d**2\/5 - 777*d + 4107\/5.\nAnswer: -3*(d - 1)*(d + 37)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -79*p + 44. Let k(a) = -48*a + 22. Let l(w) = 5*k(w) - 3*o(w). What is l(-16)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16863163.4 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3*(((-2)\/(-2))\/153)\/(88\/(-528))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 194\/16 + (-1)\/8. Let y be 44\/g - 3\/(-9). Let a = 5 + y. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 6*p**2 - 13*p - 3. Let n(h) = 2*h**3 + 34*h**2 - 12*h - 201. Let i be n(-17). Give z(i).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4900300907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*q**2 - 2*q - 230?\nAnswer: -18*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36b563 - -2?\nAnswer: -36b561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 77d9 + -11cc?\nAnswer: 660b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 10:00 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1400 greater than or equal to -3466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 919*p + 1956. Determine g(-2).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**6\/10 + m**5\/30 + m**4\/24 + m**3\/6 + 5*m**2. Let g be l(-2). Suppose 0 = -j + g - 24. What are the prime factors of j?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 0*y - 1 - 1 + y. Suppose 3*q = -2*q. Let x(s) = s**3 + s**2 - s + 3. Let t be x(q). What is a(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3190.\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 1. Let r(a) = -a**3 - 5*a**2 - 4. Let t be r(-5). Let d be o(t). Is d\/(3*3\/(-51)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from {e: 2, n: 2, f: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 182058761 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - 3*u + 2. Let y be f(1). Suppose -5*s - p + 58 = 0, s + 3*s + p - 46 = 0. Calculate the remainder when -2*59\/y*-1 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/2709 and -157\/58368.\nAnswer: 52706304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 15127726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-35)\/(-49) - (-382)\/14. Suppose 22*g - q*g = 275. Let f = g + 60. What is the highest common divisor of 25 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 788\/52 + 4\/(-26). Solve 4*o + 10 + 14 = 4*r, 4*o + a = r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvojj. Give prob of picking 1 o and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/(-3))\/((-1)\/(-6)). Let z(n) = -5*n + 27. Let s be z(g). Let q = 12 + s. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 252.3469019 + -0.3278019. Let x = 252 - s. Let w = x + 0.024. What is w rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -2 - (-3)\/1. Is ((-5)\/(-10))\/(x\/(-2434)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-4))\/(350\/100).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1611*r = -1536*r + 1650 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/((-12)\/4))\/1. What are the prime factors of (-4)\/(-6) + (-1096)\/w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.4. Let h = 10 - 15. What is the second smallest value in -1\/5, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 - -107. Suppose u*z - 800 = -62. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 3*c - c)*(-2 - 4 - 2) to g + b*c and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**4\/6 - 17*o**3\/6 - o**2. Let n be r(10). List the prime factors of n\/(-6) - (-1)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*x + 6 = 0, 2*b - 2*x + 0 - 4 = 0. Calculate the smallest common multiple of 14 + b + -4 + 0 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1312 - 11?\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1101011011111000011000?\nAnswer: -1101011011111000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0 - c + 31*c**2 + 1\/14*c**4 - 1\/210*c**5 - 3\/7*c**3. Solve i(q) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 15 = -5*j + 2*x, 5*x = 0. Suppose -j*i + 617 = 77. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8146020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + -4 - -59) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97\/12 + -25\/3. Which is smaller: -8 or n?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c + 29*c = -30, 5*n + 3*c = 138. Solve n*o = -138 - 6 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 8*u + 5. Let s be z(-6). Let i(m) = m**3 + 8*m**2 + 8*m + 3. Let p be i(s). Which is the third smallest value? (a) 0.3 (b) p (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -127*n**2 + 39*n**2 + 43*n**2 - 3155 + 46*n**2 + 194*n**3 - 2*n wrt n?\nAnswer: 582*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -928 - -929. Which is bigger: l or 0.0353?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/5*x**5 + 2\/5*x**3 + 0*x**2 - 2*x**4 + 0*x + 0 = 0. What is x?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -298*l - 28. Let w(g) = 66454*g + 6258. Calculate -447*u(f) - 2*w(f).\nAnswer: 298*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**3 + 5*u**2 + 8*u + 8. Let f(w) = w**2 + w - 1. Let h(r) = 2*f(r) - g(r). Let o = 108 + -87. What is the remainder when h(-3) is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**3\/7 + 24*f**2\/7 - 57*f\/7 + 36\/7 = 0.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (268\/5)\/(14\/35) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 2*c + 2. Suppose -5 + 3 = -w. Let r be x(w). Let l(m) = -4 - 3*m**r + 2*m**3 - m + 0 - 3*m**3. Calculate l(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 2. Let l be a(-7). Let p be (-12)\/10*(-30)\/l. Solve 5 = -p*q - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 509*w - 507*w + 139*w**2 - 2.\nAnswer: 139*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c + 2. Let v be x(3). Calculate the greatest common divisor of v and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 0 + 0*g**4 + 0*g**2 - 1\/6*g**6 + 3*g + 0*g**5 + 1\/6*g**3. Find the second derivative of z(o) wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13064? (a) -31 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -0.5, -422\/47 in descending order.\nAnswer: 12, -0.5, -422\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pztrr. Give prob of sequence rtzr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89.48 + -90. Let c = 9.16 - u. Let q = 9.8 - c. Round q to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3773 and -0.1395277912.\nAnswer: -3773.1395277912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**6\/120 + w**5\/15 + w**4\/12 - 5*w**3\/6 - 2*w**2. Let o be d(4). Let l = o - 0. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -223.244 + 223. Let n = -27.244 - q. Sort 0, n, 0.4, 2 in descending order.\nAnswer: 2, 0.4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2424046583 to the power of 1\/4, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:34 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*b + 114 = -39*b - 33*n + 36*n, -b = -5*n - 26 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4483 * -28470.\nAnswer: 127631010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 10*i - 12*i - d, 4*i - 166 = 5*d. Is (44\/(-2 + 1))\/((-26)\/i) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 150 + 15925*q**4 - 7960*q**4 - q - 7964*q**4 + 2653*q**2 wrt q.\nAnswer: 12*q**2 + 5306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 26*y - 31*y. Suppose -y*j + 53 + 22 = -3*a, -5*a - 1 = 2*j. Calculate the highest common factor of j and 876.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**3 - 32290*x**2 + 129220*x - 129240 = 0.\nAnswer: -6462, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*c - 32*c - 9*c - 44*c to w + b*c and give b.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4703678?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.1 in -0.3, -4\/10327, 5, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28898420 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1030310 - 200?\nAnswer: -1031110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 3)\/((-2)\/(-6)). Suppose 0 = -2*o + 3*p + 3 + 34, -f*o + 38 = -p. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07259 to three dps.\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3 + 33 = 0. Let a be (y\/(-5))\/(2\/30). Calculate the smallest common multiple of 72\/a*18\/4 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 11 = 2*c + 5*w, 5*c = -5*w - 5. Suppose -17 + 119 = c*d. What is the remainder when d is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (22 - 37 - -17)) + -31.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 - 52. Which is smaller: 25 or t?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -37, 10, -5, 2 in ascending order.\nAnswer: -37, -5, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -19*r + 24*r + 21, 0 = -5*r - 20. Let y = -1.2 + -0.8. Sort h, 20, y in ascending order.\nAnswer: y, h, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/28 - 82\/7. Calculate the common denominator of d and 41\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p + 0*p + 3*p - 2*p. Let i(n) be the second derivative of -7*n**3\/6 + n - 10. Give i(u(l)).\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -4860 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 - r**3 + 2*r**3 + (5*r + 0*r - 2*r)*(24*r**2 - 31*r**2 - 83*r**2).\nAnswer: -267*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580*g - 579*g + 3*m = 780737, 3903805 = 5*g - 5*m. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 11*h**2 - 12*h - 4. Let g be q(-12). Let x be g\/(0 + -4)*3. Solve 0 = 3*w - 6 - x, -3*a - 3*w + 24 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18830170.9999995 + 18830167. Let b = 4 - 0. Let i = b + y. What is i rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/2*(0 + 2). Let u(l) be the third derivative of 0 - 1\/3*l**3 + 0*l - 1\/12*l**4 + 3*l**2. Let i(x) = -6*x - 6. Determine k*i(y) - 14*u(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b. Let i(z) = 34*z. What is -6*i(x) + 33*p(x)?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*y + 12 = 0, -4*b + 797*y + 27 = 792*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6017*h + 12. Let p(x) = 96270*x - 190. Determine 95*o(f) + 6*p(f).\nAnswer: 6005*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0027 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 76285 to the nearest one hundred.\nAnswer: 76300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 + 932*o - 22964. Give l(27).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*((-2)\/16 - 608\/1280). Solve 2*s + l = -7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -7*a**2\/2 + a - 105. Determine k(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 1. Let d(g) = 29*g**2 - 6. Determine -5*d(c) - 30*i(c).\nAnswer: -115*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 12354*d - 691870. What is w(56)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3)\/(c*c\/(c**(-3\/8)\/c)*c))**(-6))**(-1\/12))**(-35) assuming c is positive.\nAnswer: c**(2065\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118)\/177 + 8\/(-294)*-26?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1714 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 688\nAnswer: -27.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 k when four letters picked without replacement from bbnkppppnk?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (3 - 8))\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 20 = 49*m - 50*m, 0 = -4*j + 5*m + 28. Suppose 0 = -j*n + 4615 + 1373. What are the prime factors of n?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652014 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6261?\nAnswer: 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 3. Let m be o(3). Let t be (3 - 1)\/(-4 - m). Suppose 2*y = 11 - 13. What is the third smallest value in 0.4, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1115*k**2 + 5*k - 1079.\nAnswer: -2230*k + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -10*j. Let v(w) = 337*w - 179*w - 1 - 168*w + 3. Calculate v(p(r)).\nAnswer: 100*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3000.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -22. Let m = 24 - n. Let d = m + 3. What is the third biggest value in d, 0.2, -0.01?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11280 and 3083435?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - r**2 - 4*r)*(-2 + 1 - 1) + (-2*r + 0*r + 0*r)*(-4*r - r + 6*r) + 82747 + 4*r - 82747 - 43*r**2.\nAnswer: -43*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 325, 69, -339, -893, -1587, -2415?\n\"Answer: p**3 - 82*p**2 - 17*p + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 47921.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*g**4*y**3 + 2*g**4*y + 5*g**2*y + 11*g*y**3 - 1 wrt g?\nAnswer: -2592*g*y**3 + 48*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15605 is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*v - 89*v - 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (763*m**2 - 763*m**2 - 35*m**3)*((-3 - 2*m + 3)*(-1 + 4 - 1) - 3*m - 2 + 2*m - 2*m).\nAnswer: 245*m**4 + 70*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 + (-14 - -16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q = -11*q + 4*x + 20, 3*q - 3*x = 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 4. Calculate x(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 20 + 15)*(-2*m + m + 2*m - 3 + 3 + m + (4 - 1 - 1)*(m + m - 4*m) + 0*m + 3*m - 2*m).\nAnswer: -54*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5336.\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**5\/12 + 3*m**2. Let b(n) be the third derivative of n**5\/20 + 3*n**2 + n. Calculate b(c(u)).\nAnswer: 75*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*z**3 + 57*z**3 - 40*z**2 + 74*z**2 - 37*z**2 wrt z.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.304977ml to litres.\nAnswer: 0.004304977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78696 less than 661.47?\nAnswer: -78034.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - 2549?\nAnswer: -2531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39594953*m**2 + 71*m - 39594960*m**2 - 71*m.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106062 and 7164006.\nAnswer: 78804066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 + 110*s + 5450. Determine l(64).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 189535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)\/q)**(-9\/2)\/((q*q*q*q**0\/q)\/q)**6*(q*(q*q**(-2\/7))\/q)**(-3\/8)\/(q**(-4\/9)\/q*q\/q**(-7)) assuming q is positive.\nAnswer: q**(-2683\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Let b be o(-6). Let y(t) = t**2 - 7*t + 4. Let k be y(b). Let w = -3 + 2. Is w != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28006, 55215, 82424, 109633, 136842?\n\"Answer: 27209*v + 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -10*w**2 + 16*w - 13. Let t(l) = -7*l**2 + 11*l - 9. Let x(q) = q**3 - 14*q**2 - 30*q - 25. Let y be x(16). What is y*t(m) - 5*b(m)?\nAnswer: m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 1 - -2) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1050 = -43*w + 53*w. What is the remainder when w is divided by 29?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, r: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02803 + -26.76197. Let u = -27 - g. Let i = 0.2 + u. Round i to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 32 = -5*h, 8*h + 31 = 13*h + 4*b. Let a = 25 + -17. Are h and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 2:30 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4459 + -4436. What is the remainder when 43 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -214, -726, -1508, -2554, -3858, -5414, -7216, -9258?\n\"Answer: d**3 - 141*d**2 - 96*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 11*p**7\/7 + p**4\/2 + 15*p**3 - 9. Find the third derivative of q(g) wrt g.\nAnswer: 1320*g**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8403)\/(-12) - (-1)\/(-4). Let r(x) = -x**3 - 34*x**2 + 264*x - 317. Let c be r(5). What is the highest common divisor of j and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 28*i + 4*i**2 + 29*i.\nAnswer: 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8252.\nAnswer: 2, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3203, 8158, 16623, 30350, 51091, 80598?\nAnswer: 120623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*p - 32199, -5*b = -12 - 3. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00049032 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4))**38*(r**3*r)\/r**(4\/7) assuming r is positive.\nAnswer: r**(-1040\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5.8 * 67.1\nAnswer: -389.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300*p = -54*p + 49339 - 9691. Calculate the highest common factor of 3752 and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42360977 + -13996.\nAnswer: 42346981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 19*s**2 - 11*s - 20. Calculate v(-19).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 720 and 1872?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 16*y - 12. Let v be g(15). Let h = 83 - 28. Suppose v*j - 104 = h. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 10*v + 45. Let z be u(-7). Let y = 2 - -1. Suppose -y*x + x = -384. Calculate the greatest common divisor of x and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 + 10*o**2 + o + 19. Let q be u(-8). Let z = -221 - q. Let l = -141 + z. Calculate the greatest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 6*c**2 + 4*c - 2. Let j = 20 - 10. Calculate the least common multiple of k(-4) and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7737, -7738, -7739, -7740, -7741?\n\"Answer: -a - 7736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68)*-2*2 + sqrt(68) - sqrt(68))\/(2*sqrt(196) + sqrt(196))*-6.\nAnswer: 6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77202 + 153593 + 54647 = -2419*t for t.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269065 is divided by 39?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 78*o**2 + 273*o - 198.\nAnswer: 3*(o - 22)*(o - 3)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -305.7 times -0.4?\nAnswer: 122.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**3 - 1080*w**2 + 20229*w - 74270 = 0?\nAnswer: 5, 14, 1061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-8))\/(24\/(-48))*(-10)\/30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p - 392 = -68. Calculate the remainder when 35 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 1. Let v(g) = -g**2 - 13*g - 1. Let b(u) = u**3 - 7*u**2 - 2*u + 9. Let k be b(7). Let m(r) = k*j(r) + v(r). Let o = 180 + -186. Calculate m(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 11:17 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-12) + 0)*(-34 + (-5840)\/(-176))\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1783 = -372*p - 1565 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + (sqrt(684) + -1*sqrt(684))*4 + 4 + -1*sqrt(684) + (sqrt(684) + -1)**2 + -1 + 1).\nAnswer: -4116 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 9*o**3 - 207*o**2 - 201*o - 351. What is v(24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + 3 + -5 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -28. Suppose 0 = 2*q + 5*z - 60, 5 - g = z. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 19*t + 2. Let p(q) = 20*q + 3. Let k(a) = 3*p(a) - 4*z(a). What is the remainder when 65 is divided by k(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h**5\/9 + 16*h**4\/3 - 128*h**3\/3 + 320*h**2\/9 + 64*h\/3 = 0 for h.\nAnswer: -6, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byy when three letters picked without replacement from {y: 4, c: 8, g: 3, f: 1, b: 1}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*i**2 - 36*i + 36*i to b*i + p + u*i**2 and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bk when two letters picked without replacement from {k: 6, b: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/12 + (-66)\/(-8). Factor c - 4 - 5*c**2 - 2*c**5 + a*c - 8*c**3 + c**2 + 8*c**4.\nAnswer: -2*(c - 2)*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18831*n**4 + 953*n + 4?\nAnswer: -225972*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 52985100 to the nearest 1000000.\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*y + 2, -2*m = 4*y - 1 - 3. Suppose -5*s + 4*h + 224 = 0, m*s = -s + 5*h + 124. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12840 is divided by 4066.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 2*n**6\/3 - 204*n**5\/5 + 233*n**4 - 532*n**3\/3 - 468*n**2 + 736*n - 8444. Let m(s) = 0. Calculate s.\nAnswer: -1, 1, 4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**5\/30 + r**4\/8 - r**3\/2 + 2*r**2. Let h(l) = 3*l**2 - 4*l + 4. Give -3*h(n) - 4*q(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -5 + 4*(sqrt(363) - (sqrt(363)*-3*1 + sqrt(363))) + 1)*3)**2.\nAnswer: -21384*sqrt(3) + 471177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 74. Let l = 37 - 152. Let t = s - l. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10)*24\/(-30)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 6*h + 6. Let i be (-2)\/8 - -1985*(-2)\/h. Suppose -4*b - y + 0*y = -i, -372 = -3*b - 3*y. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 2*g**7\/3 - g**4\/6 + 26*g**3\/3 + g + 2. What is the third derivative of r(t) wrt t?\nAnswer: 1680*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -46*x**2 + 101*x + 3. Calculate w(3).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x - 6. Let r(p) = -p. Let k(f) = 3*h(f) - 6*r(f). Let d(s) = 4*s + 6. Let g(b) = -10*d(b) - 3*k(b). Does 16 divide g(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27433*a - 20*a**3 + 27268*a + 19*a**3 - 30*a**4 in the form q*a + j*a**3 + t*a**2 + b + i*a**4 and give q.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -4285.471 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5\/94, -41, -5?\nAnswer: -5\/94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236003 is divided by 13877.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2428 - 4855\/2. Which is the third biggest value? (a) z (b) -182 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164438 divided by 5.\nAnswer: 164438\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4632353.\nAnswer: 11, 421123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 12) + -12 - -48?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 19 - 17. Suppose -14*g + 36 = -19*g + l, 2*g - 4*l = 0. Let p = g - k. Let i(z) = -3*z + 3. Determine i(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/10)\/7 + (-294)\/(-10). Is z > 143\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10 = -5*q, 0 = 2*g + 7*q - 4*q - 13. Suppose 0 = 5*z - 4*j - 1230, 3*z - g*j - 738 = -4*j. What are the prime factors of z?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 26632.\nAnswer: -1\/13316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -35*n - 2. Let v(y) = -840*y - 49. What is 49*l(x) - 2*v(x)?\nAnswer: -35*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0274 + 696.9726. Which is smaller: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**4\/12 + t**2\/2 + 5*t + 22. Let w(v) be the first derivative of p(v). Give w(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 14*k**3 - 573*k**2 + 68*k - 4517. Give y(41).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 21*a**2 + 119*a - 581. Determine o(12).\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c - c**2 + 4*c)*(-c - 2*c + 5*c)*(665 - 350 + 406) in the form u*c**3 + r + y*c + s*c**2 and give u.\nAnswer: -1442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5712957*y - 19898614 wrt y.\nAnswer: 5712957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7e (base 16) to base 12\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Let j be (-1 + (-2)\/(-4))*o. Let h be -3 - (2 + 0)*j. Sort 1, h, -5.\nAnswer: -5, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/3964450 and -81\/2450.\nAnswer: 27751150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**2 + 21*z + 32. What is the hundreds digit of v(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 250830, 501655, 752514, 1003407, 1254334, 1505295?\n\"Answer: 17*c**2 + 250774*c + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/439? (a) -3\/11 (b) -15 (c) 0.1 (d) -2\/9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3045027671 to the power of 1\/3, to the nearest integer?\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + q - 1. Let b(n) = -3*n**2 - 8*n + 5. Let v(w) = -b(w) - 2*y(w). Let i be v(4). Solve -2*l = 5*t, -2*t + 5*l - i + 8 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from {x: 6, c: 13}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 9) + (-11 - -27)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49448622 divided by 8241437?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3186, -3238, -3384, -3672, -4150, -4866?\n\"Answer: -8*n**3 + n**2 + n - 3180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16554995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - 5*i + 2*i**2 - 612 + 1214 to the form f*i**2 + v + s*i and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/77 and (2\/(144\/(-628)))\/((-7)\/3)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*u - 35, 3*n - n + 14 = -4*u. Let l = 239 - 237. Factor -9\/2*q + 3\/2*q**n + 0*q**l + 3.\nAnswer: 3*(q - 1)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4*a = 26, -2*v = -2*a - 15 + 25 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*m + x, 12 = -3*m - m - 4*x. Let i(q) = -q**2 - 4*q + 7. Let c be i(m). Solve w = -r - 5, c*w - 3 = 3*r + 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15890 to the nearest 100.\nAnswer: 15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l + 3. Let q be v(3). Let b be ((-2)\/6)\/(4\/q). Suppose -y + n - 414 = -2*y, 2*y - b*n = 848. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10787.\nAnswer: 7, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32917, 66325, 99733, 133141, 166549, 199957?\n\"Answer: 33408*y - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23285656 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/2969 in 5, -2\/17, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-4) + 0\/(-4). Put v, 0, -7 in decreasing order.\nAnswer: v, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*i**2 + 0*i**2 + 2*i - 10*i**2 - 4*i in the form j*i**2 + x*i + k and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**5 + 575*k**4 - 16810*k**3 + 15670*k**2 + 16815*k - 16245 = 0. Calculate k.\nAnswer: -1, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 102\/5 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/((-8)\/6) - 27\/(-54))*0. Sort k, 172, -4.\nAnswer: -4, k, 172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 93*a**3 - 1273?\nAnswer: 279*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 310\/(-1116)*64\/(-80)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.67448123 rounded to two decimal places?\nAnswer: 8.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16505657 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3501612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4, -45, -104, -175, -252, -329, -400?\n\"Answer: j**3 - 15*j**2 - 3*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 348 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-21) + 3\/21.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 101320123?\nAnswer: -101320120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152 (base 6) to base 16.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 881\/4 or 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -3*k**2 - 1\/2*k**4 + 1 - 2*k**3 - 2*k. Determine p, given that y(p) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26 - (-7 + 2 - -9). Let k be -3 - 11\/(z\/(-20)). Which is the smallest value? (a) k (b) -0.2 (c) -0.3 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.445 or -473323?\nAnswer: 0.445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22506.\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2. Let u(o) = -2*o**2 + 108*o + 6465. Let t(p) = 4*p**2 - 198*p - 12928. Let s(k) = 6*t(k) + 11*u(k). Calculate s(x(y)).\nAnswer: 8*y**4 - 6453","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 54*j - 221. Let y be m(-48). Suppose -87*l + 2*d + 9011 = -82*l, l - y = 4*d. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 39. Let l = k + 19. Suppose -x - 3*o = 12, 2*x + l = -3*o - 1. 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 q = 1273 + -1275.2. Which is the fourth smallest value? (a) -2 (b) 0.5 (c) q (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 8:28 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(108)))**2.\nAnswer: -864*sqrt(3) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 8. Let g(o) = o**3 - 9*o**2 - 38*o - 3. Let k be g(-3). Solve k*t + 12 = h*a, 0*t = -5*t - 5*a - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37152 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.199 greater than or equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94189 is divided by 2354?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 15732?\nAnswer: 78660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 41\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-14))\/(357\/(-833)) - 39\/(-9). What is the highest common divisor of f and 1948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2 - 3*l - 5. Let q(n) = -3*n**2 + 2*n + 3. Give 5*d(x) + 8*q(x).\nAnswer: x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4748 = -2*r + 7*f - 4653, 80 = -3*r - r - 4*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + j**2 + 3*j + 6. Let n be p(5). Let b = -123 - n. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.03534 and -1751.\nAnswer: -1812.88034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/3 + 12*h**4 + 68*h**3 + 272*h**2\/3 - 266*h - 588 = 0. Calculate h.\nAnswer: -7, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17.29 (b) -8 (c) -2 (d) -5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/47 or 0?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 17.7. Let x = -2 - -8. Which is the third biggest value? (a) x (b) t (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*(-3 + 4))\/1. Let x = d - -3. Suppose 2*u - 8 = -5*a, 0 - x = -3*a - 2*u. Solve -a = -s - s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10293893 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, 51, 97, 161, 243, 343?\n\"Answer: 9*k**2 + k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 110.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*k*w + 58*w wrt k?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 20*z - 10. Let v(l) = -1. Let b(g) = -p(g) + 10*v(g). Let m(u) = u**2. Calculate m(b(h)).\nAnswer: 400*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4367*q**2 + 8399*q wrt q?\nAnswer: 8734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-23)\/138*(-12)\/4)\/(-2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hgghgggghhjggg. What is prob of picking 2 h and 2 g?\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6654)\/(-8)*32\/36*3. Suppose -3*q + 9460 = q. Let x = q + z. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -2\/18082863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 8:09 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351117.\nAnswer: 3, 13, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 0.05, 1\/4, 3\/5, -20112, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 109427124 a multiple of 1397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.2, -2, -4, 3\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - 1 - (-155 + 98 + 42).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbbr when four letters picked without replacement from {r: 3, y: 2, b: 7}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 79 divided by 79\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 29 - 5*v + 32 - 64. Let k be -1 + -6 + 0 - (2 + -7). Determine a(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -711\/10 + 141\/2. Which is the nearest to 0? (a) 3 (b) -79 (c) 0.2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 749\/119 - 12 - -3. Which is bigger: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 6. What is the remainder when 21 is divided by (12\/(-10))\/v*20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 l, and 1 k when three letters picked without replacement from oolokyl.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 10:46 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(245) + sqrt(245) + sqrt(245)*2 + sqrt(245) - sqrt(245)) + -4 - (5 + sqrt(245)*-1)))**2.\nAnswer: -630*sqrt(5) + 6206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 58. Let a be 0\/((0 - 1)\/(-1)). Let f = a + g. Solve -h - 2*h - 15 = f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 22 - 10 = 0. Let g(r) be the first derivative of r**6\/360 + r**5\/40 - r**4\/8 - r**3 + 3. Let p(v) be the third derivative of g(v). Calculate p(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + 195. Factor -o*v**2 + 227*v**2 + 6*v**3 - v**5 - 2*v**3 - 3*v - 2.\nAnswer: -(v - 2)*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13544*o**3*w**2 - 1179252*o**3 + 331*w**2 wrt w?\nAnswer: -27088*o**3*w + 662*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-58)*2916\/7290\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3 + 235\/(-423).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6*z = -8. Let s = -8 + 13. What is the third smallest value in z, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35824, -35827, -35832, -35839, -35848, -35859, -35872?\n\"Answer: -q**2 - 35823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 48 = 3*h - 7, -2*h + 58 = -2*z. Suppose 250*c + 65248 = 266*c. Factor 45*t**3 + 4078*t - 10*t**2 - c*t - 60*t**4 + h*t**5.\nAnswer: 5*t**2*(t - 1)**2*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 265*x - 136 - 263*x - 261*x - 258*x + 1042*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15333 + -5653?\nAnswer: 6350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*k = 55*k + 46. Round k to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 142*l**3\/3 - 13*l**2\/2 - 15*l + 66. Is t(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 minus 1.15755?\nAnswer: -82.15755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -6 + (-6 - -15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167372 at most 167373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + (-132 - -144) + (0 - 0) + -8.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + -76.943. Let j = 29120.857 + -29135. Let k = j - o. What is k rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 4, c: 5, n: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*d - 12, -5*d + 0*d + 20 = -5*b. Suppose b*x + 2 = x. Suppose 0*t = 4*t - 20. Solve 2*z + 0 = -x*s + 6, t*z - 17 = -3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563ba (base 13) in base 7?\nAnswer: 1221461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**2\/2 - 131. Let i(b) = b**3 + 7*b**2 + 2*b + 6. Let f be i(-7). Let s(n) = -4*n**2 + 8*n. Determine f*g(l) + s(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27916 = -1417*s + 5405*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5765, 11632, 17497, 23360?\n\"Answer: -l**2 + 5870*l - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 16269*d**2 + 173*d + 1407. Is y(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -48*i**2 + 17*i - 17. Let z(p) = -17*p**2 + 6*p - 6. Let m(j) = -6*v(j) + 17*z(j). Let y(o) = 4170*o**2. Determine y(m(g)).\nAnswer: 4170*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -18*l + 3154. Let d(o) = 89*o + 4. Give f(d(s)).\nAnswer: -1602*s + 3082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 4*i - 4*p - 32, -3*p = 3*i. Suppose i*y + 26 = -2*o, 2*y = 9*o - 6*o + 7. What is the biggest value in 0.08, o, -4, -0.2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*i**2 - 4*i**2 + 0*i**2)*(-3102 + 30*i + 3102).\nAnswer: 330*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29295 is divided by 5648?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 7\/5 - 36\/(-10). Put -5, -64, i in descending order.\nAnswer: i, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c - 33. Let t be i(6). Solve 4*g + u = t, g + u = -2*u - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878750.\nAnswer: 2, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 6. Let l be b(-4). Suppose 12 = -4*h - 5*i, -3*h = -i + l - 12. Find the third derivative of d**5 + 3*d**2 - 5*d**2 + 4*d**h wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*m**3*y**4 + 2*m**3*y - 21*m**3 + 2*m*y**5 - m*y wrt y.\nAnswer: -192*m**3*y**2 + 40*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27.7 or 1\/2?\nAnswer: -27.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 42*z**3 - z**2 + z. Let g be y(1). Suppose -g = -8*i + 62. Which is smaller: i or 14?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7395 - 7394.996923. Round c to four decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1044 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7))**(-28)*h**(-3\/2)\/h**(3\/2))\/((h**5*h**(-1\/5))\/(h*(h\/h**(-1\/4)*h)\/h)**(-1\/37)) assuming h is positive.\nAnswer: h**(103\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -4749, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2 - 24. What is the smallest common multiple of 20 and n?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + 0*q + 10*q**3 - q**2 - 5*q**3 in the form a*q**2 + f*q + i*q**3 + p and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*o + 52, 0*o + 2*c - 1 = o. Suppose -o*p - 14 = -8*p. Let q be 3\/((-63)\/(-51)) + 6\/p. Solve 0*i = -q*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3324527292 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124963.58 - -123374.6501. Let y = l + 1589. Let s = y - 0.058. Round s to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 123*t**5 - 15*t**5 + 149*t**5 + (0*t**2 + 0*t**2 + 2*t**2)*(1 + 2*t**3 - 1).\nAnswer: 261*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 - 374 = -5*j. Suppose 0 = -3*z + 4*r - 2*r + 99, -z - 5*r + j = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i**4\/i)))\/i**(1\/4))\/(i*i*i**0*i)**(-21)*(i**5\/i*i*(i\/i**(-5))\/i)**(1\/15) assuming i is positive.\nAnswer: i**(809\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1849304 is divided by 26418.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-495)\/(-220)*(-16)\/6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53199504.\nAnswer: 2, 3, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r + 7*r + 0*r + 16*r in the form m + s*r and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372371 is divided by 2910.\nAnswer: 2801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 76, 99, -20, -353, -972, -1949, -3356?\n\"Answer: -12*a**3 + a**2 + 104*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 814*l**2 - 176*l + 2675. Is o(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5)**(7\/4)\/(s**(-5)*s**14) assuming s is positive.\nAnswer: s**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 2080.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*z + 657 = 0, -27*w - 3*z = -29*w + 438. Solve -3*h + 3*v + 12 = 0, 4*h + 224*v + 2 = w*v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1912 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/223 - 665\/446. Suppose 2*q - 13 = -3*a, -4*q + 8*q = -3*a + 17. What is the third biggest value in q, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 624334 and 1282.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -178, -9, 28, -41 in ascending order.\nAnswer: -178, -41, -9, 3, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -110, -138, -166, -194?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 9. Let p be g(6). Suppose 5*i - 4*l + l = 45, -p*i + 23 = -l. Let h(n) = n**2 + n - 5. Is h(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104470 and 33480.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/12698 and 37\/79816.\nAnswer: 558712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -13.86. Let k = -0.08 + a. Let g = 0.05999984 - k. What is g rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829998 is divided by 123?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**4\/48 - m**3\/4 + m**2 - 3*m + 3. Find r such that l(r) = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**7\/560 + 7*a**5\/60 - a**3\/3 + 13*a**2. Let u(r) be the third derivative of d(r). Calculate u(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 6 = 10*z. Calculate the remainder when 11 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -1, 1, 0, -66, -2.\nAnswer: -66, -2, -1, 0, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*k = -14*k - 402 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 1, m: 1}. What is prob of sequence qf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -618241 (base 10) in base 6?\nAnswer: -21130121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**2\/2 + 6*d + 4. Suppose 3*v = 22 - 7. Let t be c(v). Solve l = -t - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 greater than 324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16436.\nAnswer: 2, 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 1. Let v be x(1). Suppose -6 = -v*q + 54. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1586 + -1583. Calculate the remainder when 187 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*w = -1693, -6*w + 4*w - 1132 = 2*g. Let m = g - -581. What is the least common multiple of 5 and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uaxswsxuswxsxxx. Give prob of picking 2 w, 1 u, and 1 a.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88896.66 grams in nanograms?\nAnswer: 88896660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 8 - (-7 - -3) - -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {e: 1, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (297\/(-132))\/((-3)\/(-8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdbimpod. What is prob of sequence db?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26898284773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -75*d + 399. Suppose 76 = 5*a + 26. What is the remainder when s(4) is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 49\/(-42) - (-375)\/90. Suppose -32\/3*r**2 + 0 + 26\/9*r**w - 2\/9*r**4 + 8*r = 0. What is r?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -5*y - 106 + 54, -3*q + 2*y - 1 + 27 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**3 + f**3 - 14*f**3 + 54582*f**2 - 54582*f**2 - 6*f**3.\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 0*i**5 + 0*i**2 + 0*i**4 - 1\/2*i**6 + 10 + 19\/3*i**3 + 0*i. Find the third derivative of d(v) wrt v.\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.55824km?\nAnswer: 2558240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -63, -138, -243?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9 = 0, 4*v - 325 = 4*j - 77. Let u = 79 - v. What is the highest common divisor of 98 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 < 555488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 1. Calculate the remainder when y is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262 + -257 + (-1 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 6*h**2 - 6*h + 7. Let v be d(5). Suppose -3*w = 2*y + v*y - 64, -6 = -2*y + 5*w. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1112230 + 102013111?\nAnswer: 100300221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 - 2 = 0. Let k be (-1 - -8) + -1*n. Find the second derivative of i**5 - 2*i - 2*i**k + 3*i**5 wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 24*m**2. Let x(l) = -l**2 + 2*l + 2. Let t be x(0). Let i(z) = t*z + 0*z + 0*z. Give f(i(q)).\nAnswer: 96*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, 1, -2, -7, -14, -23?\n\"Answer: -c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01632 + -291.88368. Let m = 279 + a. Let q = 27.7 + m. Round q to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407692916.\nAnswer: 2, 101923229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15164 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 19 = 3*p + m, 5*p - 2*m + 33 = 0. Let s = p + 8. Solve 0*w**2 - 2*w**2 - 59*w**s + 4*w + 57*w**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 3375.\nAnswer: -1\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 155*h - 9200. Let x be v(58). Are -1894\/9 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 9:24 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.32656 weeks to hours.\nAnswer: 9462.86208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 10*t**2 + 8*t - 4. Let w be a(-9). Suppose b + 0 + 5 = 5*d, -3*d = b + w. Suppose -5*v + z + 158 = d, -3*v - z = z - 100. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.76763 times 0.12?\nAnswer: -2.4921156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 7:24 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1558 and 1394?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -701 plus -77.34?\nAnswer: -778.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1733*c + 3. Let p(k) = -433*k - 1. Let z(u) = 9*p(u) + 2*w(u). Let b be z(-3). What is b rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 92979*x + 650808. Give t(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -2, 101, 274?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, s: 1, w: 2, a: 1, r: 1, e: 2}. Give prob of sequence weea.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t**3\/7 + 185742*t**2\/7 - 86186796*t\/7 - 138374496\/7 = 0.\nAnswer: -8\/5, 507, 5686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 1. Let c be 5\/2*(o + 0). Let x(f) = -5*f**3 - 8*f**2 - 8*f. Let i(r) = -5*r + 10*r**3 - 5*r**2 - 7*r**3 - 6*r**3. What is c*x(y) + 8*i(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9.115 * 11.8\nAnswer: -107.557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - k. Suppose 29 = -4*a + 5*d, k*a - 2*d + 16 = -2*a. Let o = -17 - a. Let z(n) = -2*n - 9. Calculate z(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36980000 is divided by 2000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + f - 6*f**2 - 3*f + 4*f**2 - 2*f**4 to y + z*f + p*f**3 + d*f**4 + s*f**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9242776 millilitres to litres.\nAnswer: 0.0009242776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47951 - 47984 = -3*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223907.\nAnswer: 17, 13171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -163*a + 2226*a + 2486*a**2 + 2*a**3 + 1158*a wrt a?\nAnswer: 12*a + 4972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102 + -2?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*p + 17*p - 3290. Is p <= -660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1966546 to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 64865.72 grams in kilograms?\nAnswer: 64.86572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -186260400 rounded to the nearest 100000?\nAnswer: -186300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y\/y**(-21\/5))\/y)*y**(-16) assuming y is positive.\nAnswer: y**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -9*g**7\/7 + g**6\/30 - 37*g**4\/12 + 143*g. What is the third derivative of m(s) wrt s?\nAnswer: -3240*s**2 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 129, 344, 571, 816, 1085, 1384?\n\"Answer: n**3 + 208*n - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(243) + 1)*-5 + 3 + 3.\nAnswer: -45*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, f: 3, e: 6, q: 2, l: 2}. What is prob of sequence qqbf?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3840787 to the nearest integer?\nAnswer: 1960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-204)\/(-8) - (-6)\/4. Let d = p + 17. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4567099 times 0.2\nAnswer: -913419.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -5. Find the second derivative of -2 + 2 - 4 - 2*o**2 + 10*o - i*o**2 wrt o.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3956 = 34*m - 7094. What are the prime factors of m?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -38790*f - 15. Let t be r(-1). Suppose t = 5*a + 6320. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592313373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 672560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -644, -1288, -1946, -2624, -3328, -4064, -4838?\n\"Answer: -p**3 - p**2 - 634*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 2*j**4 + 0*j**3 + 0*j**2 - 1\/5*j**5 + 15 + 7*j. Differentiate y(w) with respect to w.\nAnswer: -4*w**3 + 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 + -141. Let m(a) = -a + 2. Let k be m(-3). Suppose 2*g + 31 = k*j, -5*j + 4*g = 3*g - s. What is the third smallest value in 0.5, j, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 8:08 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3988 = -2*w + 2*z, 0*z - 3*z = -6*w + 11958. What is the highest common divisor of 48 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59621*f + 26*f**2 - 119327*f + 59700*f.\nAnswer: 26*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**4 + 13770*d**3 - d**2 + 228404 wrt d.\nAnswer: -4*d**3 + 41310*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3887358?\nAnswer: 2, 3, 647893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11052 is divided by 5520.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(-38*w - 64*w + 5*w) + 6*w + 2*w + 3*w)*(-4 + 0 + 2).\nAnswer: -216*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 31*w**2. Let n(r) = -9*r. Give u(n(z)).\nAnswer: 2511*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/2 + 33 + (-25 - 3). Solve 3*r + 5*h - 3 = 0, -h - 17 = o*r - r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34793\/20 + -1738. Calculate the common denominator of h and -37\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 36 = -3*a. Suppose 9*w = a*w - 15. Let u = 72 - 63. Solve -5*h - 15 = w*r, -u - 17 = 4*r - 3*h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + (4*sqrt(396)*3 - sqrt(396))\/(2*sqrt(27)\/sqrt(3))))**2.\nAnswer: -66*sqrt(11) + 1340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 22, -13 in decreasing order.\nAnswer: 22, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -321 in 0, 2\/5, 0.05, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrorrrrrrrorrrrrrorr. What is prob of sequence oro?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85440 or -1246?\nAnswer: -85440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, -2, -1, 0, 27 in ascending order.\nAnswer: -2, -1, 0, 27, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -7*x**4\/12 - 4*x. Let m(f) = -f**2. What is m(d(w))?\nAnswer: -49*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63335*g**3 + 21072*g**3 + 21190*g**3 + 21070*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o**(-25)*o)\/o**(-4\/17)*o**(-4\/29)\/((o\/o**4)\/o) assuming o is positive.\nAnswer: o**(-8333\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 4, o: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -149*s - 2 - 2*s**2 + 145*s - 2 as w + l*s + i*s**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -2. Let l = 593695 - 593691.000104. Let w = l + m. What is w rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48, 80, 110, 138, 164, 188, 210?\n\"Answer: -c**2 + 35*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94904.\nAnswer: 2, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4412813*v**4 + 7582605*v?\nAnswer: -52953756*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*l = 1269 - 324. Which is smaller: 274 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 5*k**3 - k**2 + 2*k - 1 + k - 2*k. Let p be s(1). Suppose p*b - 62 = 38. Solve -g = -5*g - b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -58054, -58075, -58110, -58159?\n\"Answer: -7*s**2 - 58047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8248 by -1031.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2304) - sqrt(2304) - sqrt(2304))\/((sqrt(8) + 1*sqrt(8))*2 - sqrt(8) - sqrt(8)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(80) - sqrt(80)) + -3 + -1*(-1 + (sqrt(80) + 0)**2 - sqrt(80)).\nAnswer: -85 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1087 - 8717\/8. Calculate the common denominator of v and -109\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102001 (base 3) to base 6\nAnswer: -1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**4\/9 - 10*j**3\/9 - 614*j**2\/3 + 3706*j\/9 - 1856\/9 = 0.\nAnswer: -29, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -9, 15, 2\/7, -11 in increasing order.\nAnswer: -11, -9, -0.2, 2\/7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 11. Suppose 95 + 38 = o*j. Suppose -3*b + 5 + 52 = 0. What is the greatest common divisor of b and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**3\/3 - 3*d**2\/2 - 4*d - 2. Suppose 19*v - 15*v = 5*l - 37, 0 = -3*v - l - 4. Does 7 divide s(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*x + 16, 8 = 3*x + 2*k + 2*k. Suppose n = 2*n + 4*w + 4, -x = -2*n - 2*w. Suppose r = 5, 0 = -n*a + r + r + 86. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 803 divide 62104267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17768.42 - -17767. Which is smaller: 3\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-20))\/((-9)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49419.27 litres?\nAnswer: 49419270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-6) - 15\/(-30). Find m, given that 5\/3*m**4 + 3*m**2 - o*m - 4*m**3 + 0 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-10) + 3 + 5 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 4*m + 1. Let v(u) = -u**2 - 3*u + 2. Let s(h) = -3*l(h) + 2*v(h). Let x be s(-6). Solve q + 6 = 4*k, -2*q - x = 5*k + q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - 5955*x**3 - x - 8*x.\nAnswer: -5955*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -54 - 100 - -120?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.504 rounded to 2 dps?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + -34. Suppose -4*l - 3*w = -11, -l - 4*w = -y*l. Which is the third smallest value? (a) 1\/26 (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {p: 2, r: 10}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3013 (base 6) to base 5\nAnswer: 10112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*j**2*k**2 - 21414944*j**2 + 166398*k**3 wrt k.\nAnswer: 140*j**2*k + 499194*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8712848113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - f - 1. Let y = 15 + -14. Let j(q) = 12*q**2 + 5*q + 4. Let o(w) = y*j(w) + 5*t(w). Differentiate o(s) with respect to s.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6 - 1053*d + 396*d + 324*d + 322*d - d**2. Let c be -3*(-1 - (-26)\/6). What is y(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1215252 (base 6) in base 2?\nAnswer: -1111110010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4 + 12)*(0 - 3 + 5)*(-1 + 2*c + 1) + (-3 + 1 + 15)*(-8 + 8 + 4*c) to the form m + t*c and give t.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18e4d (base 16) to base 8.\nAnswer: -307115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*c + 180*c + 252 = 94*c for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, u: 1, h: 2, r: 2}. Give prob of sequence rvvv.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 8225 (b) -40 (c) 12 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*d - 137*d + 10*d)*(d**2 + 0*d**2 - 2*d**2) + (-2 + 3 - 2)*(-d**2 - 3*d**3 + d**2) - 4*d**3 + 5*d**2 - 5*d**2.\nAnswer: 107*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/2 + 837*r**3\/2 - 2529*r**2\/2 + 2535*r\/2 - 423.\nAnswer: 3*(r - 1)**3*(r + 282)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*b**2*u - 19*b + 6957*u with respect to b.\nAnswer: 52*b*u - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**4 - 28*x**3 + 276*x**2 - 452*x + 208 = 0. Calculate x.\nAnswer: -13, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y. Let w(t) = -7*t**2. Determine d(w(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/7 + 92*r\/7.\nAnswer: 4*r*(r + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8530217.\nAnswer: 23, 370879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 16.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from arzzklxa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4)\/q)**(2\/21))**(2\/11)*(q**(-2\/11))**(2\/17)\/(q**(-2)*q)**(-34) assuming q is positive.\nAnswer: q**(-133942\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 3. Let v be p(5). Let d(r) be the third derivative of r**4\/8 - 2*r**3 + 11*r**2. Let b be d(5). Which is smaller: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ete when three letters picked without replacement from {e: 4, t: 16}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*y + 12 + 28. Let g(j) = -3*j + 6*j + 1258 + j**y - 1265. What is the remainder when 55 is divided by g(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 5*n + 3. Let m be u(4). Suppose -4*b - 69 = -m*b. Calculate the remainder when b is divided by (33\/6 + 0 + 404\/(-808))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 r when three letters picked without replacement from {r: 2, t: 2, c: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -964, -2059, -3224, -4453, -5740?\n\"Answer: j**3 - 41*j**2 - 979*j + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 687517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 2*a + 777*a**2 + 2 - 756*a**2.\nAnswer: 21*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 14*h**2 + 6*h - 89. Let a be q(14). Let f be (1 + 0)*5 - 1. Let b be (2*1)\/f*-8. Sort 2, a, b in descending order.\nAnswer: 2, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 9:48 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/8 - 33*z**3 - 525*z**2\/8 - 131*z\/4.\nAnswer: -z*(z + 1)**2*(z + 262)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 112.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**5 + 95*m**4 - 1115*m**3 - 29375*m**2 - 171810*m - 307800 = 0.\nAnswer: -19, -9, -5, -4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -467468 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -162111 + -5?\nAnswer: -162116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 2\/5, -895\/4, -2 in increasing order.\nAnswer: -895\/4, -37, -2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -169482 times 0.7\nAnswer: -118637.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 189*m = 190*m - 6653, -3*w - m + 9981 = 0. Does 32 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2059956 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*y - 92, -2*s + y = -33 - 4. Let t be ((-34)\/(-4))\/((-2)\/(-20)). Let z = s + t. What is the greatest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -4. Let q be 22 - f - (0 + 3). Let k = q - 15. Solve o - k*o = 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -31*c**3 + 5*c**2 - 5. Let r(d) = 31*d**3 - 4*d**2 + 4. What is -4*q(f) - 5*r(f)?\nAnswer: -31*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 1, 12, -559, -3, -1 in decreasing order.\nAnswer: 27, 12, 1, -1, -3, -559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**2 + 3409 - 787 - 2*h**2 + 12*h**2 + 1106.\nAnswer: -h**2 + 3728","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2. Let g(m) = 3 + 1 + 4*m - 19*m + 0*m - 10*m. What is g(h(z))?\nAnswer: -25*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32936 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Let l = j + 6. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243\/(-18)*(-151)\/((-557190)\/328).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 t when three letters picked without replacement from rxlgrtgttrtn.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 + 1029292*w + 1029296 = 0.\nAnswer: -1, 257324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1647*c**2*p**2*s**2 + 2*c**2*p**2*s + 4*c**2*p*s**2 - 5*c**2*s**2 + 2*c**2*s wrt p.\nAnswer: -3294*c**2*s**2 + 4*c**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -77751 at most as big as -77562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -111100011 (base 2) in base 11?\nAnswer: -3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2773334 is divided by 59003?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 514, -4 in increasing order.\nAnswer: -4, 0, 514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6*6\/(-2))\/7\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 25*z - 5. What is k(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*b**4 + 4*b - 4*b + 54*b**3 + b**4 - 8*b.\nAnswer: -2*b*(3*b - 2)**2*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -5*k - 4*o, -6 - 19 = -5*o. Let c be 0 - k\/(2 - -3). Let z(i) be the first derivative of i**3\/3 + 2*i**2 - 10*i + 1. Calculate z(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**2 + 4*u**2 - 8*u**2 + (-u + u + 3*u + (-2 + 4 - 3)*(3 - u - 3) - 2*u + u + 2*u)*(10*u - 20*u - 2*u).\nAnswer: -69*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -1111, -2080, -3067, -4078?\nAnswer: -5119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3533425?\nAnswer: 5, 7, 61, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*3)\/(55 - 50). What is the smallest value in -4, -0.2, -0.11, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 21*o - 10. Let p be d(4). Suppose 4*i + 2*f - p = 0, 0*f = 4*i - 2*f - 62. Solve 0 = -2*b + 4*y - 14, 3*b + i = y + 3*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.276737 to one dp.\nAnswer: -77.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**3 - 2*g**2 + 123*g. Give j(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-460)\/5*1 + -2 + 5. Let x = -69 - n. List the prime factors of ((-56)\/x)\/(1\/(-20)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-56)\/(-156))\/(-7))\/(15728\/3932).\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2906679 or -2906681?\nAnswer: -2906681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 117593 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuvg when four letters picked without replacement from {u: 4, g: 1, l: 1, w: 4, v: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d = 194*d - 785 - 667 + 120 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 14*i**2 - 16*i + 2. Suppose 8*r = -5*r + 156. What are the prime factors of f(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24.5? (a) 3 (b) 1195 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -0.3, 10, -1\/3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddod when four letters picked without replacement from oomomoodmmmmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/3 of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -642 + 466. Is g less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/24576 and 55\/381696?\nAnswer: 12214272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145636 = 35*d + 38*d - 69349. Is d a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 = 20. Let s = 16 - y. Suppose 3*i - 123 = -k, s = 4*k - 3*k. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 13*a + 14. Let g be x(-12). Solve 4*r - g = -18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -7 + (38 - 29)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*q - 46*q - 186 - 71*q + 166*q to the form m + p*q and give m.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.0552, 1526, 3.\nAnswer: -0.0552, 2, 3, 1526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57\/4 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -921.4.\nAnswer: -921.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1092247573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**2 + 73565*l + 220705. What is j(-3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n*(n\/n**(-20)*n*n)\/n*n*n)\/n)\/n*n)\/n)\/(n*n**(-2)) assuming n is positive.\nAnswer: n**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 14.14. Let c = v - 0.1399976. Round c to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**19\/s*s)*s**(5\/6) assuming s is positive.\nAnswer: s**(-109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by -4869817\nAnswer: -102\/4869817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 3980*q**3 + 2254077*q**2 + 3705688602*q.\nAnswer: q*(q - 2331)**2*(q + 682)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1082 and 0.04?\nAnswer: 1082.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 1.64, 2\/3, 4, 0.1 in decreasing order.\nAnswer: 4, 1.64, 2\/3, 0.1, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and (-2)\/1*(-9 + -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 50*k - 15. Let o(r) = -25*r + 7. Let c(t) = -15*o(t) - 7*q(t). Let y(l) be the third derivative of l**5\/10 - 18*l**2. What is y(c(h))?\nAnswer: 3750*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 177 * 0.4\nAnswer: 70.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1488 + 329. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*2\/(-9)*6 + 0. Let v be (-6*f\/72)\/((-1)\/57). Let j = 20 + v. Is 1\/21 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 219255965 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4067268 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 3. Let l(q) = q**2 + 5*q + 5. Suppose 4*s = -x - 3, -2*s + 0 = 2*x - 6. Determine x*w(d) + 3*l(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**2 - w**2 + 13*w**3 + 16*w**2 wrt w.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 98229*h + 98221*h - 294679*h + 98225*h.\nAnswer: h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -970.\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -a499a2?\nAnswer: a499a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 q when two letters picked without replacement from {r: 1, a: 2, q: 1, x: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((5 + sqrt(68) + -1)**2 - (sqrt(68) - (2 + 2*sqrt(68)))**2) + (2*sqrt(68)*-5 + 6*(sqrt(68) + sqrt(68)*2))**2)*2.\nAnswer: 16*sqrt(17) + 8738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-1695)\/140*(220\/15 + -14).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2 - 306*k + 408. Determine w(0).\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4 = 5*g + 11, -y = 5*g + 30. Let p(t) be the third derivative of 0 - 5*t**2 - 1\/2*t**3 - 1\/24*t**4 + 0*t. Determine p(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/8 - ((-208)\/320 + 2). Which is the smallest value? (a) 9 (b) p (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from mfmpymszymsmz.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 51*t**3 + 11*t**2 + 11*t + 61. Let c(h) = -10*h**3 - 2*h**2 - 2*h - 12. Let n(s) = 33*c(s) + 6*x(s). Let a(v) = v**3 + 1. What is -30*a(g) - n(g)?\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2\/((m*m**(-1)*m)\/m))\/(m**0\/(m*m\/m**(-5))))**(-5\/4) assuming m is positive.\nAnswer: m**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -845\/9 - -94. Let f = o + -2\/45. Let x be 11\/143*(-2 + (-68)\/(-8)). Which is smaller: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (6 + -7 + 3)) + 11 + 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**3\/6 - 4613*w. Let r(m) = 50*m**2 + 41*m**2 - 12*m**2. Give c(r(a)).\nAnswer: 79*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*f**2 - 30*f**3 + 44*f**2 + (-2*f - f + f)*(-4*f**2 + f**2 + f**2) to r*f**3 + l*f**2 + u + d*f and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309204073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1530 = 27*t - 238 - 401 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 33. Let t = 6 + y. Let z = 131 + t. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 - n + 2. Let v be z(1). Suppose -r - p = -229, 0 = -v*p + p. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 4. Suppose 3*x - r*j = 451, 2*x + 4*j = 176 + 110. Let o be x\/28*16\/6. What is the highest common divisor of o and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 15. Let a be o(10). Suppose a*g - 4 = -k - 1, 5*k - 15 = g. Let b be (-1 + 2)\/(1 - k\/2). Let x(t) = t + 4. Determine x(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104220 is divided by 98?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - h - 4. Let o = 13 - 11. Suppose o*t = -t - 18. Let y be (21\/t + 3)*0. Determine r(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.7 - 1.7. Let u = 1139 - 1138.9. Which is the closest to u? (a) 2 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33332 and -1.167.\nAnswer: 38898.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -13 - 12*h**2 - h**3 + 0*h**3 + 0*h**2 + 2*h**2. Let w be c(-9). Find the common denominator of 16\/9 and (w\/30)\/(2\/(-3)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10 = -2*u, 3*u + 3 = -y + 10. Let t be ((-10)\/(-3))\/((-6)\/9). Let o be (t\/12)\/((-49)\/(-56)). Which is smaller: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -12*g**2 - 5 - 8 + 140*g**3 + 3 + 28*g - 141*g**3. Give c(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -65\/2. Suppose i = -24 - 16. What is the common denominator of 68\/i + 2*1 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/9 and (6\/72)\/(((-105)\/470)\/(-7)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188 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 l be (-6)\/(-3) + 10*13306. Let k = -238062 + l. Round k to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002033546665 to seven dps.\nAnswer: 0.0020335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 351 (b) 25 (c) -3 (d) -0.11 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38*(-3)\/(-12))\/(((-1378)\/(-26))\/(-106))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 0*v + 0*v - 7*v + 2*v + 0*v + (-6 + 4*v + 6)*(-6 + 3 + 4).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 6*o**2 - 2*o - 9. Let y be r(-6). Let q(u) = 98*u + 1080. Let l be q(-11). Sort l, -2, y in increasing order.\nAnswer: -2, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/30)\/(3\/((-30)\/4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*b = -10 - 0, -2*b + 34 = 4*r. Suppose -68940 = -r*l + 13*l. Is (l\/42)\/(-3) - (-3)\/(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 + -1) - (72 - 58)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/55 in -11, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2 (c) -63\/2 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 27 = -6067*i + 6072*i, 2*i = -8*t + 94 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + sqrt(200) + 2*(sqrt(200) - (sqrt(200) + 0)))**2 + -5 - (sqrt(242) + ((sqrt(242)*1)**2 + sqrt(242))*4)*5.\nAnswer: -4045 - 275*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1010 - 1009. Which is the biggest value? (a) n (b) -5 (c) 1.55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859455?\nAnswer: 3, 5, 71, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 j, and 1 e when four letters picked without replacement from fzfjeezzzfez.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**3\/9 + 20*w**2\/3 = 0.\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (555 - -3) + (4 - 6\/1). Let z = 876 - s. Calculate the highest common divisor of z and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 101\/(-99) + 4\/(-18). Let d = -10\/11 - l. Let o = 149 + -144. Which is the nearest to d? (a) 0.5 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.22 + 11.78. Let f be 6\/34 + -7 + (-17910)\/(-2550). What is the fourth smallest value in b, 4, -5\/6, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(5) + sqrt(45) - sqrt(20)\/sqrt(4)*2.\nAnswer: 2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -100607, 222, 1 in increasing order.\nAnswer: -100607, 1, 5, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -312.\nAnswer: 62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 676, 2713, 6108, 10861?\n\"Answer: 679*o**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, k: 6, z: 1, c: 2, y: 3, v: 4}. Give prob of picking 1 v and 3 k.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = 3*y, 5*y - 7 = 4*y - 2*j. Let s(b) = -8*b**3 - b. Let c(h) = 3*h**3 + h**3 - 3*h**3. What is y*c(a) - s(a)?\nAnswer: 7*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 - 3*x + 1. Suppose 3*r + r = 8. Let l(d) = -4*d + 3*d - d**2 + r*d + 0*d**2. Give 5*l(q) + w(q).\nAnswer: -q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*3\/33)\/(6\/(-24)). Factor -2\/11*x**2 + 8\/11*x - p.\nAnswer: -2*(x - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y, -3*n - 5*y - 93 = -2*y. Suppose -2*j + 8 = 0, 49 = 5*u - 8*j + 226. Which is smaller: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 68*n**2 - n + 1. What is r(1)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2076 + 1641. Which is smaller: -438 or g?\nAnswer: -438","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Let p(y) = -y**3 - 12*y**2 - 4*y - 48. Let m be p(-12). What is the closest to h in -1\/3, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 8:17 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/25*(-70)\/(-91)*1\/(-2)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 12*j**2 + 10*j - 10. Let k(y) = 4*y + 1. Let d be k(-3). Let o be u(d). Suppose b = -2 - 0. What is the closest to 0.1 in b, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157041505?\nAnswer: 5, 31, 37, 139, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.067 + 2.933. Let o = -372 - -1112\/3. Put 5, 0, o, s in increasing order.\nAnswer: o, 0, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, 0, 18, 48, 84, 120, 150?\n\"Answer: -s**3 + 15*s**2 - 38*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12000211112110 (base 3) to base 12\nAnswer: a8b2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 245879.4 centuries?\nAnswer: 295055280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 11 = 5*d, 2*d = -5*m + m + 6. Suppose -5*w = -l - 13, 2*w + 4 = m*l + 3*l. Solve -4*c + 2*q + 32 = -l*q, -2*c + 24 = -4*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 19*k**2 + 68*k - 32. What is g(14)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by -3*4\/6*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 16 - (26 - (-44 - -56))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.6. Let y = 0 - x. Let g be (-3)\/(-36)*(-2 - 25\/10). Put 3, g, y in increasing order.\nAnswer: g, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(130)\/(sqrt(40)\/sqrt(4) + sqrt(10)) + 0 + 5 + 4*-4*-4*2*sqrt(13)*-1)**2.\nAnswer: -255*sqrt(13) + 845329\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 456*t**2 + 8619*t.\nAnswer: -3*t*(t - 169)*(t + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1354 + 2915 - 1661 + 4 + 2 - 7 + 1 + 0 + 1 + (1 + 1 - 3)*(-1 + 4 - 1) + 0 + 5 - 4)*(4 - 4 + 4*j**2) as f*j**2 + h*j + s and give f.\nAnswer: 10432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4262 + 4262. Suppose 5*f - 9 - 81 = -5*i, -5*f + 4*i + 63 = 0. Solve m = l + 2*l + f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/((-1)\/((-4)\/(-6))). Let u(z) = -z - 7. Let n(m) = -m - 6. Determine b*u(q) - 5*n(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 10*a**2 + 3*a - 5. Let t(c) = 21*c**2 + 7*c - 9. Let o(w) = 13*b(w) - 6*t(w). Suppose -39*n + 34*n = 50. Is o(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**4 - 14*p**3 + 3*p**4 + 12*p**3 - 3*p + (-2*p**3 + 0*p**3 - 2*p**3)*(2*p + 0 + 0).\nAnswer: -10*p**4 - 2*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3992895 is divided by 52538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (-24 - -33) + -8 - -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h + 3. Let a be 2\/(-6) - (-55)\/(-15). Let w(p) = -2*p - 2. Determine a*w(g) - 3*q(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. Let a(s) = 3*s**2 - 21*s. Let q(f) = -a(f) - 15*o(f). What is the second derivative of q(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(2 - 24\/9). Let n = -1 - f. Let z = -4 - n. Solve -m - 3*u + z*u - 3 = 0, -4 = -4*m - 4*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2. Let u(t) be the third derivative of 0*t**4 + 0*t**3 + 0*t - 11*t**2 + 0 - 1\/10*t**5. Determine u(i(d)).\nAnswer: -24*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-37 - -4) - (-46)\/12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5184320 rounded to the nearest 10000?\nAnswer: 5180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 82931938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - 326 - 101 = -9*r + 2*h, 40*r - h + 1686 = -1798 for r.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 - 1. Let v be j(-1). Let o be 6 - (v\/(-1))\/1. Let n(s) = s**2 + 67*s - 280. Let t be n(4). Solve -12 = z + 3*z + t*x, 3*x = z + o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44634979, -44634981, -44634983?\n\"Answer: -2*x - 44634977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4351, 4357, 4387, 4453, 4567?\n\"Answer: 2*r**3 - 8*r + 4357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + 2*o)*(-890 - 885 - 221 + 223).\nAnswer: -3546*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 5, 4 in descending order.\nAnswer: 13, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 11) + 78 + 8 + (4 - 13)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 9*a - 5. Calculate p(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94.6689 - 0.0311. Let w = 94 + l. Which is smaller: -0.4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.14 (b) 3357 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zskdkzzkkfkkkoks. What is prob of sequence fkkk?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - (-23 - -4)) + 0 + -3 + 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 43*p + 3. Let b be x(-21). List the prime factors of -8 + (-7332)\/(b\/(-4)).\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1251845, 2502708, 3753571, 5004434, 6255297, 7506160?\nAnswer: 8757023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10*181609\nAnswer: 1816090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**7\/42 - p**6\/18 - 5*p**3\/3 + 6*p**2. Let o(f) be the first derivative of b(f). Find the third derivative of o(x) wrt x.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 1223?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2320 is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*t**2 - 12*t**2 + 0*t**2 - 29*t**2 as q + b*t + f*t**2 and give f.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4376 + 4380. Let y(v) be the second derivative of -1\/20*v**w - 13*v + 3\/10*v**3 + 0 + 0*v**2. Solve y(s) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.28848 + -0.01152. What is the third smallest value in -3, t, 3\/17?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-4)\/3)*6. Let l be (4\/7)\/((-22)\/(-77)). Solve -l*o = -o - p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -3\/10, -17, 3, -1921, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293815 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 15. Suppose -6 = 2*n + 2*y, 5*y + 14 + 1 = -r*n. Factor -2\/3*t**4 + 0*t + 4\/3*t**2 - 2\/3 + n*t**3.\nAnswer: -2*(t - 1)**2*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1\/3, 8030, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from jnyjnjnyyyyn?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-1)\/((-1026)\/4446*2\/6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q - 20*q - 14*q as t*q + i and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 14*v - 9*v**3 + 14*v**3 - 6*v**3 to the form w*v**2 + y + p*v + i*v**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103984990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 - 17*l**4 + 18 - 18 + (72*l + l**3 - 5*l**3 - 76*l)*(-4*l + l + 2*l).\nAnswer: -13*l**4 - 2*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = -0*h. Let u(x) = x**3 - 2*x**2 + 5*x - 3. Calculate the remainder when 53 is divided by u(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + (-27 - -15 - -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/6*(-534)\/7832*-11.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Let h = 0 - o. Let q(n) = -n**3 - 10*n**2 + 11*n + 5. Let k be q(-11). Which is the nearest to h? (a) k (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 1065*u + 1062.\nAnswer: 3*(u + 1)*(u + 354)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 6287.51?\nAnswer: 6287.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -2*g**7\/105 + g**6\/60 - g**5\/60 + 5*g**4\/24 + 122*g**2. Find the third derivative of r(q) wrt q.\nAnswer: -96*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23249*q - 5133 + 10338 - 5205)*(-4*q**4 + q**4 + 2*q**4).\nAnswer: -23249*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 8:14 AM?\nAnswer: 124","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m + 164. Suppose 5*w - m = -2*h, h - w - w = 43. Let k be 171\/h - 4\/22. Calculate the greatest common divisor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 - -83?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3*v + 0*v)*((4 - 4*v - 4)*(-5*v**2 - v**3 + 5*v**2) - 3*v**3 - 2*v**4 + 3*v**3 + 0*v**3 - 3*v**4 + 0*v**3).\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/56 (b) 3\/2 (c) -6 (d) -2 (e) 1 (f) -6.1 (g) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 58*m - 368. What is w(6)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -4*u - 70. Let d be (-3 - u)*(-15)\/(-10). Find f, given that d*f**5 - 3\/7*f - 39\/7*f**3 - 6\/7 - 51\/7*f**4 + 57\/7*f**2 = 0.\nAnswer: -1, -2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87557.9443 to the nearest one thousand.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -631, 213, -9 in descending order.\nAnswer: 213, 5, -9, -631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3.2 (b) -171 (c) 4 (d) 3 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 83.43 (c) -0.3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20196 = -4*n + 5560. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, 3, -4, 494, 1\/17, 0 in increasing order.\nAnswer: -4, -1, 0, 1\/17, 0.5, 3, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/9100 - -1821\/9100. Find the common denominator of (3\/4)\/(2\/60) and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -i - 4*c + 20, 4*c = -2*i + 40. Suppose 4*p - p - 4 = -n, 12 = 3*n - 5*p. Calculate the lowest common multiple of n and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**4\/12 - 1508*h**2. Let f(j) be the first derivative of 2 + 2\/3*j**3 + 0*j + 21\/2*j**2. What is f(g(r))?\nAnswer: 8*r**2 + 42*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25 + -53?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 26*n**2 - 40*n + 197. Let k be p(-24). Factor -3\/5*d**3 + 0*d + 3\/5*d**4 - 1\/5*d**k + 0 + 1\/5*d**2.\nAnswer: -d**2*(d - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijje. What is prob of picking 1 j, 1 i, and 1 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*j + 4126 - 178 = 0, 4*i - 5263 = -5*j. Is 32 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-14))\/((-6)\/3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 11:43 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1674 + 52198.\nAnswer: 52197.8326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -947 or -944?\nAnswer: -947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7221, -1.\nAnswer: -5, -1, 7221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -3.808.\nAnswer: 3.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0*j - 8\/15*j**5 + 0*j**3 + 1\/6*j**4 - 19*j**2 + 0. Find the second derivative of h(x) wrt x.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8241 - 9444 = -165*m - 302 + 602 for m.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 57 + o - 57 as b*o + s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*m + 111*m - 13 + 4 + 9.\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.11188886 rounded to 0 decimal places?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*g - 9 = 0, -a + 31*g - 27*g - 21 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2047, -2898, -3749, -4600, -5451?\n\"Answer: -851*z - 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7527141, 7527127, 7527111, 7527093?\nAnswer: 7527073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-6))\/(1\/3). Let s(x) = 4*x + 1. Let f(n) = n - 3. Let b(g) = g - 1. Let j(u) = 2*b(u) - f(u). What is r*s(p) - 3*j(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 933700 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-120)*5*18\/16?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.04186 - 4\nAnswer: -3.95814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 45*f**2 + 750*f - 39. What is the ten thousands digit of v(-44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 205675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o - 1. Let p = -38 - -44. Suppose 4*q = p - 22. Calculate r(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.00387 + -0.49613. Which is the smallest value? (a) -0.7 (b) -2\/15 (c) -47 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 993629 and 28.\nAnswer: 3974516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 488 - 500.16. Let g = a - 11.2. Let w = -23 - g. What is w rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196014, -196027, -196040, -196053, -196066, -196079?\nAnswer: -196092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4182 by 3.\nAnswer: -1394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/7558 and 19\/9.\nAnswer: 68022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -7 - (-1 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, -287, -807, -1553, -2519?\n\"Answer: v**3 - 122*v**2 + 71*v + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.89385 to 2 dps.\nAnswer: -41.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225945 is divided by 509.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 7. Let s = 5 - -1. Suppose -i = -s*i + 10. Sort i, 5, r.\nAnswer: r, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -55. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -80*f + 76*f + 5*b, 3*f + 2*b + 51 = 0 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 56430?\nAnswer: 395010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1609.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2120 - -2120.0077232. Round u to 5 decimal places.\nAnswer: 0.00772","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 17*h - 16. Let f be p(16). Suppose -4*x = -f*x - 24. What is the remainder when 10 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - ((-18)\/6 + -1). Sort g, 4, -37 in increasing order.\nAnswer: -37, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*h - 48198 = 68932. What is the remainder when h is divided by 35?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14470249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = 4. Let g(s) = s**3 - 8*s**2 + 6*s - 3. Let f be g(m). Suppose -2*z + f + 75 = -2*v, -v + 120 = 2*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (sqrt(756)*4 + sqrt(756) - sqrt(756)))\/sqrt(3).\nAnswer: 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 - 3*d**3 - 43*d + 154*d.\nAnswer: 2*d**3 + 111*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 55\/4 of a hour?\nAnswer: 825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k*w**2 - 29*k*w + k - w**4 + 22*w**3 - 2*w wrt w?\nAnswer: -4*k - 12*w**2 + 132*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131972397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -5, 41, -2, -59, 9 in increasing order.\nAnswer: -59, -5, -2, -1, 0, 9, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((-18)\/4)*36. Let v = -8 + f. Suppose 2*u + u + 16 = 4*y, -4*y - u + v = 0. Calculate the highest common divisor of 28 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43799038 a multiple of 782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 4) to base 14\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -338*k + 307. Is l(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 + (2 - 2) + -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l - 5. Let n(y) = -13*y + 4. Let g(h) = -5*n(h) - 4*u(h). Let m be g(2). What is the greatest common divisor of m and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978883604?\nAnswer: 2, 13613, 17977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (407 - 422) + (-6 - -1) + 1 + -1\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 61. Let p = -40 - g. What is the tens digit of (-136)\/p - (-4)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, 1, -2\/13, 8\/65 in ascending order.\nAnswer: -0.16, -2\/13, 8\/65, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**5 + 3*o**5 - o**5 - 2*o**5 + 61*o**5 + 9*o**5 + (2*o + o - 2*o)*(-2 + 2 + 3*o**4).\nAnswer: 70*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.119 + 1.141. Let i = -1.260051 + g. Round i to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*d + x + 3568, -5950 = -5*d + 5*x. Let a(r) = 263*r - d*r - 13 - 1 + 0. Let t be a(11). What is t rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.66 and -0.7.\nAnswer: 2.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r = 2270462 - 12072031 - 11956878. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1044 + 4237. List the prime factors of k.\nAnswer: 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - a)*(-43 + 43 + 2*a)*(4 - a**2 - 3 + 1) as p*a**2 + s*a + h*a**3 + u*a**4 + t and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753 less than or equal to -4.89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1532 rounded to two dps?\nAnswer: -5.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304139939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-8)\/4)\/4*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 34 = -59. Suppose 264 = i*h + 94. What is the remainder when h is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (5 + 3\/1) - -3. Suppose k = -4*y - 2*w, 3*w = 5*y - 0 + 11. Put -5, y, -0.5, -0.2 in decreasing order.\nAnswer: -0.2, -0.5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -12\/23, -1\/11, -1\/22?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.76 + -0.24. What is the closest to 3 in h, 2.7, -4?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05345 + -0.14655. Which is the closest to -0.3? (a) -8\/9 (b) -5\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98276\/35095 - 2\/7019. Factor b*u**2 - 4 + 6\/5*u.\nAnswer: 2*(u - 1)*(7*u + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111702 is divided by 2067?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 2*k + 3. Let b be l(3). Let w be 790 - (b - 4) - 4. Suppose w = 3*m - 125. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53624810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517 is divided by 169?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 0*f - 8*f**2 + 7\/2*f**4 + f**3 + 25 + 2\/5*f**5. Find the third derivative of p(g) wrt g.\nAnswer: 48*g + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*y - 19 = 0, -4*d + 0*y + 4*y - 76 = 0. Suppose 90 = -4*z + 2*t, 39 = -2*z + 2*t - 7. Let s = d - z. Solve a - s = 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (47 + -367)*(-156)\/30. Calculate the greatest common factor of i and 1152.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372645*o**4 + 153158005*o**3 + 15830340385*o**2 + 19153915275*o + 3476360250 = 0 for o.\nAnswer: -18645\/91, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m - 2*m + 5*m - 15*m as d*m + s and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34790.\nAnswer: 2, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 574244 to the power of 1\/2, to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.23 - -0.07. Suppose -3*y = -y + 2, 0 = q + 4*y + 5. Let s be ((-2)\/4)\/(-5 - 78\/(-12)). Which is the smallest value? (a) g (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 v when four letters picked without replacement from ovvvyovvoyvoovvyoooy?\nAnswer: 784\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 9\/125 (c) 5 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7718611?\nAnswer: 29, 266159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/5))**(1\/70))**(-44) assuming r is positive.\nAnswer: r**(-88\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50712 - -50262?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 13\/(-1 - -2). Let p(m) = 5*m**2. Let h be p(u). Round h to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 97*g - 3501. Give v(125).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 12*w**2 - 11. Let h(j) = -6*j**2 + 5. Calculate -11*h(c) - 6*p(c).\nAnswer: -6*c**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-15))\/(4\/2685). Let n = h + 431. What is the common denominator of n and -13\/17?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48582*a**3 + 74903*a?\nAnswer: -291492*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3888 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61589139 is divided by 8798447.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1509959.\nAnswer: 2\/1509959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -618.\nAnswer: 617.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6)*f*f*f*f**(-9\/4)\/f*f)\/(f**1*f)**(2\/3))**35 assuming f is positive.\nAnswer: f**(-2765\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3828 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.834754 - 157.9?\nAnswer: -157.065246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 620049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.378 - -0.022. Let a = 1.5 - o. Let c = -607\/14 + 85\/2. What is the nearest to a in -3, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/64 + (-13)\/(-4)*2. Solve -i + s*i - 10 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 5*g + 48 - 26, -4*c - 30 = 3*g for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-70)\/(-3)*18\/15. Let h = -12 + t. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + -6*sqrt(272))*-4 + 2)**2*1 + 3*(sqrt(272) + (1*(sqrt(272) + 0))**2 - (sqrt(272) - (1 + sqrt(272) + sqrt(272)*-1 + sqrt(272))**2)).\nAnswer: 344*sqrt(17) + 110439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570\/(-76)*(-196)\/(-6615).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*i + 71414 + 2953967. List the prime factors of i.\nAnswer: 42611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 13*c**2 - 15*c + 6. Let z be a(-14). Suppose -6*l = -10*l + z. Solve -4*o - 7 = -3*b, 8 = o - l*b + b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 247074\/517 or 478?\nAnswer: 247074\/517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23547055 divided by 4709411?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/195 and -26\/21915.\nAnswer: 284895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - -102. Suppose -5*r + g + 2 = 0. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1268 + 4*j - 3*j + 1232 - j + 2*j**2 + 4*j**3 in the form m*j**2 + z + h*j**3 + c*j and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:25 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 5*i - 5. Let t be j(-4). Let q = -4 - -6. Let m be ((-18)\/12)\/((-6)\/16). Sort t, m, q in increasing order.\nAnswer: t, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/39 + (-2)\/13. What is the third smallest value in -2\/7, 4, q, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -18*v**2 + 3*v + 1. Let t be u(-1). Let c be t*(-3 - (-14)\/10). Calculate the greatest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*v**3 + 4*v**3 + v**3)*(2*v + 0 + 0) to the form i*v**3 + n + h*v**4 + b*v**2 + y*v and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u + 11*u = -912. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9640506 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a. Let w be q(3). Calculate the remainder when -3 + 1 + 33 - w is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 8. Suppose 2*a - 296 = -2*a. Let x = a + -87. Does 3 divide n(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 4:04 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 + 8*o**2 - o + 2. Let w(h) be the second derivative of -3*h**5\/20 - 3*h**4\/4 - h**2\/2 + 2*h. Let f(n) = -4*d(n) - 3*w(n). Give f(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*s**3 - 184 + 184 + (2 - 3 + 2)*(-s - s**3 + s))*(4 - 5 - s**2 + 2*s**2).\nAnswer: -41*s**5 + 41*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(-740*b - 15*b**4 + 740*b + (-3 + b + 3)*(0 + 0 - 2*b**3) + b**3 - b**4 - b**3 + 12*b**2 - 12*b**2 + 5*b**4).\nAnswer: -13*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 0*t = -3*o - 11, -5*t + 4 = -3*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4097, -5803, -7495, -9167, -10813, -12427, -14003, -15535?\nAnswer: -17017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**3 + 9*q**3 + 6*q**3 - 2*q**3 - q**3 + q**3 + (4*q + 2*q - 4*q)*(2*q**2 + q - q) + (-q**3 + 2*q**2 - 2*q**2)*(2 + 1 - 2).\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 145 = -12*v + 5*p, v = 2*p + 27. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -119*r - 2. Let i(k) = 19*k - 45. Let m(v) = 23*v - 54. Let x(w) = -6*i(w) + 5*m(w). Calculate t(x(j)).\nAnswer: -119*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1309 + 904. Let z = 4484 - w. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 615 by 15.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 259 - 255. Solve -2 = -g*t - 18 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -54*a**3 - 78*a**2 - 78. Let b(z) = z**3 + z**2 + 1. What is -468*b(i) - 6*o(i)?\nAnswer: -144*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-6 - -10)) + (-11 - (-43 + 14) - 24)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - (15 - (8 + 5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 605 + -145. What is the hundreds 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 dddjh. Give prob of sequence hd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603842?\nAnswer: 2, 23, 13127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 4. Let i = -0.2 + 0.1. What is the nearest to 1\/3 in i, 5, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-5)*(-1773)\/(-7092).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2002)\/330)\/(322\/(-276))?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 7:01 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - z - 8 = -2*w, 0 = 2*z - 3*w - 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Let l = 20 + -16. Suppose 4*b = -l*r - 12, 5*r - 3*b = o*b + 35. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3. Suppose f = b + z - 0 - 7, -5*b + 28 = -2*z. Suppose b*x - 12 = 3*x. What is the lowest common multiple of x and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4 - 34*v - 32*v + 74*v wrt v?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/24 + (-9)\/(-12). Let j = -0.105 - 3.895. What is the closest to 1 in j, 1\/10, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + 5*y + 7. Let n = 37 - 52. Let q = -19 - n. Let o(k) be the first derivative of -k**3\/3 - 3*k**2\/2 - 4*k + 1. Give q*g(c) - 7*o(c).\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.5, -99?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 3*a + 2*g + 28 = 0, 8 = a + 2*g. Let u = 3 - 1. Suppose 3*i - 2*j = 2, u*i + j = 3*j - 2. Solve 2*s - 4*k - a = 0, -i*s + s + 2*k = -9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-136)\/(-24) - 40\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.984777 years in centuries?\nAnswer: 0.07984777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 9, a: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**3 - 25*i**2 - 30*i = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from wwehwgghgeeeeeh.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 0 (b) 0.7 (c) 8\/7 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -235536*d**2 - 777639 wrt d?\nAnswer: -471072*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1064*l**2 + 9. Let u(y) = 2*y**2. Determine v(u(t)).\nAnswer: -4256*t**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 36*q - 246 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2)*(-18)\/27. Let k be 13\/2*(3 - d). Let m = 365 + -248. What is the greatest common factor of k and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 122 - 223 = 4*m, 3*m = -2*w - 72 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21052.999987897 + 21053. What is f rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010387 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -112, -215, -314, -415, -524?\n\"Answer: -n**3 + 8*n**2 - 120*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 693*g**2 + 6*g + 5. Calculate the remainder when p(-1) is divided by 126.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*j = -5, -16*j = -4*a - 15*j + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1125 is divided by 298.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s + 3*s - 14*s + 3*s. Let w(z) = 6*z. Determine w(c(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 21*i = 78 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(630)*-2)\/(-6*sqrt(40)))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1548610 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from utjuccctuuottt.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from astmpla. What is prob of picking 1 m and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 7:32 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-2\/19)\/(r**8\/(r*r**(2\/9))))\/(r**(3\/8)*r\/r**(-9))**(-15) assuming r is positive.\nAnswer: r**(203479\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1065.7*4633\nAnswer: -4937388.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/g**(2\/9))\/g*g*g*g**9\/g)\/((g**(-8\/3)\/g)\/(g*g*g\/(g*g**(-3\/7)))))**(-16) assuming g is positive.\nAnswer: g**(-17008\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - 8*r**2 + 997140*r**3 - 997142*r**3 + 52*r**2.\nAnswer: -2*r**3 + 41*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1017 and 179\/3420.\nAnswer: 386460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7320 + -5122. List the prime factors of t.\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*g**4 - 950*g - 41*g**4 + 12*g**2 - 16 + 942*g + 21*g**4 + 10*g**3.\nAnswer: 2*(g - 1)*(g + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32.001 - -0.001. Let m = 31.954 + l. What is m rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**3 - 40*b**2 + 17*b + 35. Let k(j) = -6*j**3 - 38*j**2 + 14*j + 34. Let t(h) = 5*k(h) - 4*r(h). Let t(y) = 0. What is y?\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.69 - -2.69. Which is the third smallest value? (a) 0.2 (b) -1\/2 (c) 8\/11 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 4*d - 40. What is the remainder when d is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248.87994 rounded to 1 dp?\nAnswer: 248.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**8\/13440 - a**7\/5040 + a**6\/1440 + a**5\/240 + 5*a**4\/6 + 6*a**2. Let g(z) be the second derivative of f(z). Factor g(b).\nAnswer: -(b - 1)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 512*z + 19. Let j be g(2). Suppose -3*f = -3*k + 1309 + j, -5*f - 796 = -k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1 + 3 = 0. Suppose 0 = 3*r - 2*c, -2*r - c - 4*c = -19. List the prime factors of r + (t - 3 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**2 - 77*v**2 - 3 + 231*v**2 - 32*v**2 in the form s*v**2 + l*v + x and give s.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 19*l**2 + 14*l - 7. Let n be k(18). Let c = -66 - n. Suppose 12*u + 129 = c*u. What are the prime factors of u?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 94 or -64387?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 12*t**2 + 4*t - 3. Calculate b(-12).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 6*w**2 + 14*w + 7. Let r be t(-8). Let b = 32 - r. Calculate the remainder when b is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137\/492 - -9\/164. Determine l, given that 1\/6*l**2 + d - 1\/2*l = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**4\/4 - 28*c. Let s(a) = a**2. Determine n(s(b)).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + n - 78. Let a = 232 - 225. Calculate the lowest common multiple of 33 and w(a).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -10. Let z = 16 - i. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c + -35910?\nAnswer: -3594c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**4 + m**3 - 3*m**2 + 5*m - 2. Let k(n) = n**4 - 2*n**2 + 4*n - 1. Let p(h) = -4*g(h) + 6*k(h). Factor p(z).\nAnswer: -2*(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j - q = -1, 5*j = -2*q + 2. Suppose j*m = -2*m - 6300. What are the prime factors of (-8)\/10*m\/36?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10584 + 21198. Is n a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -19542734.\nAnswer: -19542730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -794 and 6.\nAnswer: -4764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 + -50. Find the second derivative of 38*l + p*l + 121*l**2 - 16*l**2 wrt l.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7 and 138.\nAnswer: 137.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26734866157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = -g - 4*m + 13*m - 6, g - 18 = 8*m for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462 + 37 = 97*i + 545 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000287668 rounded to 7 decimal places?\nAnswer: -0.0000288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 + 12 + 2 - 11*t**2 + t**3 - 9*t. Suppose 13214*q = 13257*q + 430. What is h(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -4771555 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50026, 50026, 50024, 50020, 50014, 50006, 49996?\nAnswer: 49984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 9*t**2 + 12. Let u be s(9). Let y be (1 + (-3)\/u)\/((-3)\/(-12)). Suppose r - 217 = -y*o, -5*o = 3*r + 2*r - 1055. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 3*i - i)*(3*i**2 + 2*i**2 - 3*i**2) + 225463*i**3 + 21*i**2 + 246723*i**3 + 2 - 2 - 21*i**2 as q*i**3 + b + w*i**2 + c*i and give q.\nAnswer: 472184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.2. Suppose -p = r - 3*p, -2*p = -4*r + 12. Suppose -3*k - 2*y = 8, k = 3*k + y + r. Which is bigger: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 + 4. Let x(f) = -2 + 1 - 19*f**2 + 4 + 16*f**2. Suppose 0 = -3*v + 1 - 7. Calculate v*d(w) + 3*x(w).\nAnswer: -3*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 16*x**2 - 1662*x + 9441. Give i(6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6.8 (b) 3 (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -551991843 + 645830494531\/1170. Let c = 1\/1170 - x. Let u = 33 + c. Is u greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59757?\nAnswer: 3, 19919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3896 is divided by 3883?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 399279 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*u + 398 - 44 = 0, -255 = -3*x + 5*u. Calculate the highest common factor of 36 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 2*s**2 - 2*s + 1. Let h be f(-2). Which is the nearest to -1? (a) 2\/7 (b) 1 (c) h (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0098 + 0.5.\nAnswer: 0.5098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*l - 9. Suppose 2 = 4*n - 5*v + 15, -3*v + 3 = -4*n. Let z = 46 + -41. Put l, n, z in decreasing order.\nAnswer: z, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2880 = -3*c - 29*c. What is the tens digit of (-1 - (-50)\/(-6))\/(c\/14445)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-6)\/6)\/(-3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzzznpcnnpzncunz. What is prob of picking 1 u and 1 p?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/13 + 16*d**3 + 612*d**2\/13 + 608*d\/13 + 202\/13.\nAnswer: 2*(d + 1)**3*(d + 101)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 95 = 5*d, -5*d + 60 = -0*d + 4*o. What is the greatest common divisor of d and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1856141 is divided by 168740.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -60940320 divided by -240\nAnswer: 253918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b + 21 = 0. Find the common denominator of 49\/20 and b\/(3\/(-9)*26).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 19*v + 16*v + 4, 8 = 4*u + 5*v. Let n = 0.6 - 1. Which is the second smallest value? (a) u (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 - 18*r**3 - 45*r**2 - 24*r.\nAnswer: 3*r*(r - 8)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - 9*r - 10. Let k be t(-7). Let p = -37 - -12. Let n = p - k. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.5 (b) -3 (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182119788 by -6.\nAnswer: 30353298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 2, g: 2, d: 1, l: 1}. What is prob of sequence cg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkxkkkxkxkkkkkkk. Give prob of sequence kkx.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 88200*r**2 + 840*r + 2.\nAnswer: 2*(210*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 + 253 + d - 98 - d + 6*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.0904 + 0.0904. Let s = 82\/5 + -16. Sort s, h, 4, 6 in descending order.\nAnswer: 6, 4, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*d - 30. Suppose -2*x = 3*x - 4*k - 165, 3*x = -5*k + 62. Let t = x - 27. Solve t*i + 2 = -g - 3, -2*g = i - d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 75942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 3. What are the prime factors of (-3 - -1 - -6)*x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 5*m + 1 - 3)*(2*m - 125 + 65 + 39).\nAnswer: 2*m**2 - 25*m + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 176, -4 in increasing order.\nAnswer: -4, -1, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 4. Let v be z(-2). Sort -3, v, -4.\nAnswer: -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -19. Let b = -16 - x. Let n(o) = 5*o + 3. Let d(g) be the third derivative of g**4\/4 + g**3\/2 + 5*g**2 - 5. Give b*d(u) + 4*n(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17082 + 12961. What is the thousands digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -1.64 (c) 2 (d) -0.2 (e) 0.1423\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 142*v - 11088. Determine y(-198).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88396 is divided by 302.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -746*x**2\/3 + 179*x\/2 = 0. Calculate x.\nAnswer: 0, 537\/1492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88194363 * -4.\nAnswer: 352777452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 6562.\nAnswer: -1\/3281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*k + 88783 - 82735 = -30*k for k.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1521, -3038, -4537, -6006, -7433, -8806?\nAnswer: -10113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 57, -8, 6 in increasing order.\nAnswer: -8, -5, 3, 6, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 6*h = -18, -5*l + 2*h - 83 = -89 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*q**3 + 2*q - 473*q**3 + 167282 + 0*q - 167282.\nAnswer: -516*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x + 15 = 117. Which is the closest to -5? (a) x (b) 2\/7 (c) 0.2 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 - -33. Let u = -9 - n. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2048267 to the power of 1\/2, to the nearest integer?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l - 710 = 0. Let y = 69 - l. Let v = y + 167. List the prime factors of v.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117312 and 179634?\nAnswer: 5748288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -3. Let f be 10\/4*(-6)\/p. Solve -f*g = -g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 112222211221220?\nAnswer: -112222211221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*m**5 - 3681*m**4 - 103482*m**3 - 307779*m**2 + 414918*m = 0. What is m?\nAnswer: -21, -37\/8, 0, 1, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*q**2 - 129*q**2 - 133*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from {j: 2, s: 5, k: 3, w: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12445 minus 0?\nAnswer: 12445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 775334959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -2635.2?\nAnswer: -1581.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4603 - -4638. Solve k*z = 6*z + 29 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69181.043 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(66)*4)\/sqrt(6) - (2 + sqrt(11))*4)**2.\nAnswer: -16*sqrt(11) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1746)\/540)\/((-1)\/3) and -155\/132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n. Let p(v) = 726864658*v. Calculate l(p(i)).\nAnswer: 1453729316*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.04316 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-5))**(10\/9)*(k\/(k**(-2)*k))**(25\/4) assuming k is positive.\nAnswer: k**(115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-14))\/(28\/98)*76. Let a = -10 + 16. Suppose -3*t - q = -r, 3*r - a*t = -t + 305. What is the greatest common divisor of 44 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**2 - 3*q**3 - 7 + 2*q**3 - 3*q + q**2. Let w(z) = -2*z**2 + 27*z + 50. Let v be w(15). Calculate h(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -2\/166893 (c) 2\/21 (d) -5 (e) -1 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.8, -10.6, 0.1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3))**(-1\/2)*(w**(2\/5))**36 assuming w is positive.\nAnswer: w**(427\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 134\/161195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796197?\nAnswer: 3, 265399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1714 + 11?\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5\/5 - 22*b**4\/5 - 108*b**3\/5 - 172*b**2\/5 - 118*b\/5 - 6 = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6141218711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 13*t**2 - 18*t - 68. Let v be c(-12). Put v, 65\/4, -0.3, -10 in increasing order.\nAnswer: -10, -0.3, v, 65\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = -5*b - 70. Let s(f) = -439*f - 283. Let j be s(-2). What is the highest common divisor of j and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from ennncccc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**3 - 2*x + 2. Let i(v) = 1 - v + 2*v**3 - 6*v**3 + 0*v. Let f be ((-2)\/2)\/((-2)\/(-10)). Let y(r) = f*i(r) + 2*p(r). Determine y(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*n + 4*v + 10 = 210*n, 2*n = -3*v - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**3 - 4*k**3 + 5*k**3 + (51 + 16*k**3 - 51)*(28 - 105 - 24) as z + n*k + d*k**3 + l*k**2 and give d.\nAnswer: -1615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l - 166 = -6*v - 21*l, 5*v - 2*l = 133. Solve 9*t = -v - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19866321837 and 54?\nAnswer: 19866321891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5699\/6 + 950. Which is the second smallest value? (a) -0.94 (b) 3\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1083, 4807, 10981, 19605, 30679, 44203?\n\"Answer: 1225*a**2 + 49*a - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11133202032 (base 4) in base 2?\nAnswer: 101011111100010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9362, 9561, 9760, 9959, 10158, 10357?\n\"Answer: 199*w + 9163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 2*k**3 + 3*k + 8*k**2 - 5 - 7*k**2 in the form v*k**3 + r*k + h*k**2 + q and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(364) - (sqrt(364) + 1*sqrt(364)))*4)\/(sqrt(14)\/(sqrt(2)*-2)))\/(((sqrt(288)\/sqrt(8))\/sqrt(9) - sqrt(4)) + 5*sqrt(28)\/sqrt(7)).\nAnswer: 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mft when three letters picked without replacement from {q: 3, n: 2, d: 3, f: 7, t: 2, m: 1}.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - b**2 - 4*b. Let g be f(3). Let r be 3\/(g\/5)*4. Calculate the highest common factor of 50 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.514981 rounded to 1 decimal place?\nAnswer: -28.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t**5\/15 - 22*t**4\/5 + 8*t**3\/3 + 50*t**2\/3 - 96*t\/5 + 56\/15 = 0. Calculate t.\nAnswer: -2, 1\/4, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 22) + (-3 - (1 + -3)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 430983521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0 (c) -12318 (d) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/2 - 15585*v**2 - 62349*v\/2 - 15588.\nAnswer: 3*(v - 10392)*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (8 - 6\/(-3)). Suppose s*a - 21833 = -a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cucu when four letters picked without replacement from ccccuuumm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4*(-1)\/(8\/122) is divided by -7*(-9)\/((-9)\/(-3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + (2 - 9 - 11) - 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 245064952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12721420 (base 8) to base 11\nAnswer: 1683671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4171534 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2308 - 2324. Let y = -41 + 25. Let i = t - y. Is 4 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 n, and 1 c when four letters picked without replacement from agjjagagcangjjjj?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 11. Calculate the remainder when 10 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j**3\/3 + 6*j**2 - j - 4\/3 = 0. What is j?\nAnswer: -4\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60*14\/245)\/((-85)\/238*20)?\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffoffoffffof. Give prob of picking 3 o and 1 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 43 = 2*t + t, -3*x + 3*t = 6. Which is bigger: x or -8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 2. Let a be k(3). Let p = 4 + a. Let s = 4 - 1. Calculate the remainder when p is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 0*v**3 + 5\/4*v**4 + 0 - v**2 + 2*v. Differentiate a(x) wrt x.\nAnswer: 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by 1024?\nAnswer: 43\/512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1798 + 1.8202. Sort 0.5, 0, h, -3 in ascending order.\nAnswer: -3, 0, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15780 by -18.\nAnswer: 2630\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 + 213 + 421 - 249*w**2 - 208*w + 265*w**2 - 226 = 0.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 8 + 2*h**2 + h**4 + 2 + 2*h**3 - h**2 to q*h + i*h**2 + j*h**3 + l*h**4 + v and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*o**2 - 15 - 2*o**3 - 35*o**2 + 41*o**2)*(0 - 2 + 1) + 0*o**3 + o**3 + o**3 in the form z + m*o**3 + p*o + a*o**2 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)\/t*t\/t**(1\/3))\/(t**1\/(t**(-4)\/t)))**34 assuming t is positive.\nAnswer: t**(-1156\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22564 + -22563.99989887. What is m rounded to six dps?\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k - 17*k. Suppose k = c + 9 - 81. Let l = c + -37. List the prime factors of l.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/270)\/(1\/3). Sort -0.5, -2\/3, b in increasing order.\nAnswer: -2\/3, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 152*p - 164. What is o(0)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/11 - 588*s\/11 + 2890\/11.\nAnswer: 2*(s - 289)*(s - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r - 9. What is l(8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.4 - 8.6. Let w = -9 - l. Let d be -36*2\/(-130) + 16\/(-40). What is the third biggest value in d, -1\/3, w?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/9)\/((-1)\/(-3)). Calculate the common denominator of 9\/(-6)*(-8)\/54 and (-2 - 5\/u)*-11.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**6\/24 + 35*f**5\/12 + 60*f**4 - 270*f**3 + 74*f**2 + f. Let c(v) = 0. Calculate v.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148 - 128. Suppose 3*b - b = z. Solve 5*h = 2*w + w - b, -4*w + 4*h = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -10)*(-4)\/(-34)*-1 + -1?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**4\/6 - 3*l**3\/2 - 3*l**2 + 11*l. Let k be c(-3). Suppose 0 = v - 0 - 3. Solve -v*m = -2*m - k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/9*1 + (-8)\/(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -148 and 658?\nAnswer: -97384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1694)*-2)\/((1*(sqrt(8) + sqrt(800)) + sqrt(8))\/sqrt(4)).\nAnswer: -22*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -271*t + 263*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + sqrt(2) + -2 + -2*((sqrt(200) - -4*sqrt(200))**2 + sqrt(2)).\nAnswer: -10001 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 495\/(-550)*(-6)\/3?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 0*w**2 + 9*w**2 - 22*w.\nAnswer: 12*w**2 - 22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2123532.\nAnswer: 2, 3, 61, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((-6)\/15 - (-42)\/30). Suppose -j*n - 64 = -114. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-12)\/a*(a*a*a**(-1\/9)\/a*a*a*a*a*a)\/a)**(2\/75)*(a*a*a\/(a*a\/a**9*a)*a**(-8)\/a)**(-46) assuming a is positive.\nAnswer: a**(-146\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 1145?\nAnswer: -1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -3*a. Suppose m = 3 + a. Suppose 3*s - 10 = -2*z, 2*z + 6 = m*z. Solve -15 = 3*b, -s*b + 2 = 3*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/64 and -29\/3.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -19. Suppose k + 3 = 2*r, -4*k + 0 + 2 = -r. Suppose 3*a - 49 - 30 = -r*n, 4*a - 119 = -3*n. What is the remainder when n is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, -7, 4, -3, -35, 27 in ascending order.\nAnswer: -35, -11, -7, -3, -2, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 - 487.\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*r + 130 = -r, -4*i + 160 = 2*r. Let l = -15 + i. Suppose -p + 144 = l. What is the highest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4661461902?\nAnswer: 2, 3, 1753, 443189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(99) + -4 + 1)**2 - (((sqrt(99) + -2)*-5)**2 + (sqrt(99) - ((-2 + sqrt(99))**2 + -5))).\nAnswer: -2342 + 249*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -23. Let z = i + -4.99999985. What is z rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -130, 5, 2.2, -3?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -1. Let h = 8 - g. What is the third smallest value in -0.2, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 34. Let j(y) = y**3 - 6*y**2 + 2. Let m be j(6). What is the nearest to 0 in m, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 262, 972, 2162, 3826, 5958, 8552, 11602, 15102?\n\"Answer: -i**3 + 246*i**2 - 21*i + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-5) - (-4)\/10. What is the third derivative of 5*i**3 + 49*i**2 - i**3 - 6*i**v wrt i?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 278 and 17288542?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -277583 in -2, -7, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/8, -0.1, -8224, 3, 1\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/2521 and 33\/25210.\nAnswer: 25210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) - (-12194)\/(-105). Let y = 44593\/385 + l. Is 0 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 76.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5986434 or 5986457?\nAnswer: 5986434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*h = 0, -4*h - 4 = 2*k + 8. Let u = 6.7 + -2.7. What is the fourth smallest value in -1\/5, u, 0.3, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283180.\nAnswer: 2, 5, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 287*v**2 - 98*v + 573. Let c(s) = 287*s**2 - 131*s + 573. Let b(l) = -3*c(l) + 4*i(l). What is the first derivative of b(d) wrt d?\nAnswer: 574*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -48052, -48053, -48054, -48055, -48056, -48057?\n\"Answer: -m - 48051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 494 - 290. Let s(n) = n**3 + n**2 + n - 2. Let k be s(4). Let r = v - k. What are the prime factors of r?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/2436*5896 + 3. Let a = y - -3\/203. Calculate the common denominator of a and 65\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -689 = -24*s - 641 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**6*f*f*f*(f*f**(1\/2))\/f*f*(f**(-1\/5)\/f)**(-16\/9) assuming f is positive.\nAnswer: f**(379\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1304904.7717 to the nearest one hundred.\nAnswer: -1304900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 1. Let d be f(-3). Let l(k) = -12031*k**3 + 2*k**2 + 4*k. Let h be l(d). Round h to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7751899\/9 at least -861322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(48)*-2).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1.99999948. What is a rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10986115 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3287*l = 1956*l - 683*l + 6373 - 111253 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6455 + 6480. Solve 19*t + 5*a - z = 16*t, 2*a - 24 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 35\/(-2)*(-6 - 240\/(-50)). Solve 5*f + y = i, -i - f = -0*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 348\/1566 - 97\/(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - ((-8)\/(-14) + 558\/(-126)). Put -2, h, 0.5, 1\/7 in increasing order.\nAnswer: -2, 1\/7, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 21. Suppose -s*h - 2 = -4*n - 62, 3*h - 90 = 5*n. Calculate the least common multiple of 33 and h.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -8. Let n(v) = 4*v + 5. Let y(a) = -a**3 - 5*a**2 - a - 4. Let x be y(-5). Let u(m) = -m + 0*m + 2*m + x. Calculate d*u(r) - n(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2 + 6*h + h - 4*h. Let f(y) = 10*y - 6. Let t be (3 - 1)*(-14)\/(-4). Suppose 364 - 183 = -439*s - 697. What is s*f(i) + t*r(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -348, -360, -380, -408, -444, -488?\n\"Answer: -4*d**2 - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + -2 + 1 + (-60)\/(-10). Suppose 8*t - 9*t - 2*r + 4 = 0, 24 = t - d*r. Solve 3*v + t = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -1\/5, -39252 in descending order.\nAnswer: -1\/5, -27, -39252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 21, 71, 151, 267?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(20\/(-52)) - 3 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*i + 1)*(-3 + 4 - 2)*(-3 + 0 + 1)*(-3*i + 2 - 2).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 10:27 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1\/2, 9, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 66. Let j be (-3)\/(-12) - (-390)\/m. What is the highest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2980996564?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -28*q + 315 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/1877 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079737 rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -39. Calculate the remainder when 8 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 6:06 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/(-8))\/(42796\/19752*10\/26).\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**3 + i**2 - 2*i - 2. Let q be j(-1). Suppose -22 + q = -k. What is the derivative of -14 + 20*a**2 + 4 - k wrt a?\nAnswer: 40*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*z = z + 69, 3*z = 5*g + 105. Let h = 32 + g. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 - m**2 - 6*m + 13. What is r(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4140\/1026 - (-32)\/(-912).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from xmxxaxxaxxamxxmaxx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6356*z + 1633490. Determine p(-257).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 11*u - 4. Let q be y(-5). Let z = -82 + q. Which is smaller: z or -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 11. Let h = x + -5. Suppose -h*o = -6*o + 26. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748588776 to the power of 1\/2, to the nearest integer?\nAnswer: 27360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*j - j = 132, 4*j - 148 = -4*t. Which is greater: 36 or t?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -87. Let f = -181 + c. Let k = 114.1 + f. What is k rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2898 - 2889. Solve -4*n - 4*n - t*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h - 129. Determine a(-31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5839*w + 5826*w - 104 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -62, -76, -74, -50, 2, 88?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 66.21765 millilitres?\nAnswer: 0.06621765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 2.8, -1, -10, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351 (base 12) in base 7?\nAnswer: 6322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54\/(-15)*(-15)\/6. Suppose 8*k - d*k + 8 = 0. Suppose k = s - 3. Calculate the highest common factor of 88 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -8 (b) -3\/5 (c) 489\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let f(u) = 38146*u**2 - 98*u + 4. Give f(q(c)).\nAnswer: 38146*c**2 + 98*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-170) - 72\/34. Let h = 0.9 + 0.1. Let o = 130\/3 - 44. Which is the closest to h? (a) z (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05261 and 81.\nAnswer: 81.05261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 867878554 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 18772493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6917\/240 - 459\/16. Suppose -x + 10 + 16 = 5*k, -x = -4*k + 19. Which is the smallest value? (a) -3\/19 (b) k (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*z = -21*z - 17724. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20825 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150928 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 86.75703 to 1 decimal place.\nAnswer: 86.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -339*c**3*i**2 + c**3*i + 10*c*i + 2*i**2 wrt c?\nAnswer: -2034*c*i**2 + 6*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*d + 2 - 8, -5*z + 2*d = -8. Suppose 2*t + 3*r - 51 = 0, -5*t - z*r = 2*r - 117. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/28 in -4, 0, 0.0928, 2\/11, 5, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 36 = 2*b. Let i = b + -1. Calculate the remainder when 31 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1264 is divided by 415.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-41*f + 6*f - 74*f)*(0*f + 3*f + 6*f).\nAnswer: -1962*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -20. Let u(t) = 6*t - 5. What is the remainder when u(9) is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)\/(sqrt(44)\/sqrt(4)) + sqrt(19) + sqrt(19))*1)**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:36 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 3*a**2 - 2*a**2)*(191 - 191 - 23*a) + (2*a - 3 + 3)*(-2 + 2 - a**2).\nAnswer: 90*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4574 micrometers to meters.\nAnswer: 0.0000004574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 966.3389 nanometers?\nAnswer: 0.00009663389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427 + 125 - 658 = -8*j. Calculate the greatest common factor of j and 2724.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (34\/12)\/(-1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 6 = -2*s. What is the tens digit of (-15)\/(-10) - 127\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3226.\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 33, 2, 1060, -4, 1, 5 in increasing order.\nAnswer: -4, 0, 1, 2, 5, 33, 1060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 292157 to the power of 1\/2, to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 6*f - 3. Suppose -15*y + 30 = -20*y. Let j be i(y). Let v = 0.2 + -0.1. Which is the biggest value? (a) j (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -336 + 29b5?\nAnswer: 267e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4957 in -2, 5, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.43 from -0.51.\nAnswer: -3.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6150 and 1096545.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8*q + 10 = 3*q, 4*q = z - 9. Suppose 0 = z*r + 5, 2*b + 3*r - 6*r - 13 = 0. Sort b, -6, 11 in descending order.\nAnswer: 11, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2443, 5080, 9473, 15622?\n\"Answer: 878*f**2 + 3*f + 1562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -386 - -404. What is the remainder when d is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/9112012 and 121\/4550?\nAnswer: 227800300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g*g**4*g)**(2\/107)*(g\/(g**(2\/5)\/g*g))**10*g**(-4\/5)\/(g*g\/((g**(-3)\/g)\/g)) assuming g is positive.\nAnswer: g**(-893\/535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -14*v - 2. Let p(s) = -12157 + 12157 - 4*s**2. What is p(a(d))?\nAnswer: -784*d**2 - 224*d - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311 (base 4) to base 9.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -18. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3172734 is divided by 70505.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 980*0.14.\nAnswer: 137.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**2 + 70170*b - 1872105 wrt b.\nAnswer: 4*b + 70170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265361738?\nAnswer: 2, 17, 7804757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (105\/(-12))\/7*-4. Suppose a + 22 = y*v, v + 3*a = a. Does 5 divide ((-19)\/(-5))\/(v\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, -153, 2, 9 in descending order.\nAnswer: 10, 9, 2, -4, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1001 = 12*g - 1927. What are the prime factors of g?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-3 + 3 + 2). Let l = 779\/72 + -76145\/6552. Let r = l + 16\/13. Is r at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 16*r**2 - 12*r - 43. Let z be b(15). Solve -70*h - 2500 - 4*h**z + 10*h - 140*h = 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -145\/7 smaller than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*g - 9 + 3, c = 2*g - 6. Calculate the highest common divisor of 44 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 - 82 = j. Let d be 2\/((4\/258*-1)\/(7\/(-3))). Let h = d + j. List the prime factors of h.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 496\/3055 + -2\/235. Let j = 397 + -1523\/4. Let m = j - 471\/28. Sort d, m, 6 in descending order.\nAnswer: 6, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47383, 47362, 47329, 47284?\nAnswer: 47227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -9. Let x(m) be the first derivative of -3*m**2\/2 - 6*m + 4. Calculate x(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/19824 and -71\/64428?\nAnswer: 257712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -540 + 554. Solve -3*b = z + 4 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 1029*r - 1028*r - 3, -3*r = 2*q - 25. Factor -64\/7 - 8*f**q + 124\/7*f - 4\/7*f**3.\nAnswer: -4*(f - 1)**2*(f + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = 3*z - 2*z, -4*z = -2*y - 46. Let o = z - 10. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3380*s - 16898. Calculate t(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d2 - 238?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 246 + -246.283. Round c to 2 dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3228, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -322 (base 6) to base 13\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 140301853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 42. Suppose i + k*y + 5 = 0, i = -0*y - y + 10. Let n(o) = 4*o + 1. What is the remainder when n(7) is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67.1 + 0.5. Let c = n - 1.4. Let j = 68.1 + c. What is j rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3007*m - 23574*m**2 - 10711*m**3 - 2712 + 14597*m - 147*m**4 - 6110*m**3 = 0?\nAnswer: -113, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**6\/300 - s**5\/150 + 2*s**3 + 5. Let p(m) be the third derivative of q(m). Determine n, given that p(n) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 11\/1755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n - 10 = -23*n - 4, -10*u + 28*u - 3*n + 81 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 244\/19983 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 3*i**2 - 6*i - 4. Let f be x(-4). Suppose -j = f, 0 = z + 2*j + 4. Solve -27 + 7 = -z*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-46) + (-6630)\/18768?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2406019184.\nAnswer: 2, 150376199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1095 + 1097. Let d(w) = -w - 7. Let m be d(-5). Put -1, -4, m, i in increasing order.\nAnswer: -4, m, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.578735 less than 0.03?\nAnswer: -39.548735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 54*b**7\/7 + 11*b**3 + 6*b - 91. Find the third derivative of k(n) wrt n.\nAnswer: 6480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2357121 (base 8) to base 13\nAnswer: -1984b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -283.245 rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/22*-11)\/(6\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553170.\nAnswer: 2, 3, 5, 18439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.9944 + -42.246.\nAnswer: -66.2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 0 (c) 35029634\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = b - 2*b - 18, 3*b = 3*a + 6. Let s(u) = u**3 + 7*u**2 + 4*u + 1. Give s(a).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 881418127 to the nearest integer?\nAnswer: 29689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -377.012 minus 1987?\nAnswer: -2364.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1032 + -1034. What is the biggest value in -128, 3\/4, m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-17)\/((q\/(q*q\/(q**(-2\/21)*q)))\/q))\/(q*q\/((q**(3\/7)\/q)\/q))**43 assuming q is positive.\nAnswer: q**(-3559\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*z**2 + 94*z**2 + z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*3\/(-9) + 0. Let c be 26 + 1*n\/1. Suppose 3*u - q - c = 0, u - q = 14 - 3. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9928468, -9928470, -9928472, -9928474, -9928476, -9928478?\n\"Answer: -2*p - 9928466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 483\/2 + -963\/4. Which is the third biggest value? (a) i (b) 2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1463*t + 55605. Determine y(38).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 2 u when four letters picked without replacement from uzzuupzqqz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -o. Suppose o = 3*s + 4 + 8, 2*i + 3*s + 14 = 0. What is the units digit of -6*((-4)\/(-6))\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -268003\nAnswer: 1608018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2468.35 + 3.\nAnswer: -2465.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -34 + 18. What is the remainder when 23 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -75, -294, -673, -1224, -1959, -2890?\n\"Answer: -2*v**3 - 68*v**2 - v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - 7*i + 8. Suppose 0 = -102*w + 98*w + 16. Does 27 divide x(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2578700 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + 3*q - q)*(3 - 2 + 1)*(2 - 5*q - 2) as l + x*q + u*q**2 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z + 102. Let l be p(-11). Suppose l*y - 14*y + 9383 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 2*q**3 - 7\/2*q**2 - 2\/5*q**5 + 2*q + 1\/4*q**4 + 2. Factor a(m).\nAnswer: -(m - 1)**2*(m + 2)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229042843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**2 + 2*p - 2. Does 14 divide z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x + 43. Let s be a(-5). Let m be ((-8)\/(-3) - -4)*6\/s. Solve m + 10 = 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmvmvemi. Give prob of sequence mi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5883.\nAnswer: 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3\/4 (b) -0.2 (c) -0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = -5*z - 3, h - 5*z + 8 = 0. Let u = 4 + h. Let p be (22\/4)\/(15\/(-6) - -3). Is u > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, y: 2, n: 2, s: 1, i: 1}. What is prob of picking 1 y and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3202 (base 4) to base 13\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {r: 1, v: 1, n: 1, c: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x. Suppose x*r - 26 = -2*r. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + -9 + ((-6)\/(-57) - (-2015)\/(-1995)). What is the biggest value in -25, -2\/9, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 155 from -290067133583.\nAnswer: -290067133738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 97, 93, 89, 85, 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11057673 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**3 - 27 - 338*t + 28 - 4*t**3.\nAnswer: -16*t**3 - 338*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1932279*y**2 - 445259*y**2 - 328367*y**2.\nAnswer: -2705905*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, c: 9}. What is prob of picking 2 h?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1922863 and -0.008?\nAnswer: 15382.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**2*s**2*z - 2*o**2*s + 6989*o**2*z + 2*o*s**2*z - o*s**2 - 1053*s*z wrt o?\nAnswer: 6*s**2*z - 4*s + 13978*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(2\/17)*i)*i**(-3\/8)*(i\/i**(-23))\/i**(15\/2))**(-10\/3) assuming i is positive.\nAnswer: i**(-10885\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 146. Differentiate j*w**3 + 5 - 48*w**3 - 56*w**3 with respect to w.\nAnswer: -75*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*a**2*l*p**3 - 6*a**2*p**2 - 2*a*l + 24*a*p**3 + 14*l*p**3 + 41*l*p**2 + l*p + 9*p wrt p?\nAnswer: -108*a**2*l + 144*a + 84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 9 = -5*y. Suppose -2*i - 4*s = 664, -i = 2*i - y*s + 951. What is i rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:26 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 712 = 2*x + 931 - 789 for x.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**4 + 1786*z**3 + 17*z**2 + 77 wrt z?\nAnswer: -48*z + 10716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526157 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 12*n**2 + 16*n + 3. Give w(-13).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e + -229?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k + 8. Let m be p(6). Let h(f) = f**3 + 5*f**2 + 3*f - 5. Let w be h(m). Let r(d) = -d**2 - d - 1. Give r(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-36 + 24 - (0 + -26 + 4)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539*r + 364 = 567*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 12*t - 152. Let i be h(13). Suppose -y = -i*f + 49, 2*y + y - 7 = -2*f. Solve 10*v = f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 20. Suppose 2*t = 3*f - 80, f + l*f - 3*t - 78 = 0. Let p be (-20)\/80 + (-34)\/(-8). Sort p, 0, f in decreasing order.\nAnswer: f, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 46 + 5?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 2*y - 111. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117.7595nm to kilometers.\nAnswer: 0.0000000001177595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267448857?\nAnswer: 3, 13, 757, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-54)*-20 - 2\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21749690 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170098*s**3 + 86463*s**3 + 15904*s**3 + 107845*s**3.\nAnswer: 380310*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 36672*a\/7 + 10476\/7.\nAnswer: 3*(a - 1746)*(7*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 16*l**2 - l**2 + 6 - 4.\nAnswer: -17*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7825 + 0.2175. Which is the nearest to 2\/5? (a) w (b) -3\/7 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 14809080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1439 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 9:14 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -399840 by 204.\nAnswer: -1960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20713, -41551, -62391, -83233, -104077?\n\"Answer: -d**2 - 20835*d + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7174387 (base 9) to base 11\nAnswer: 2185294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -377 + 196. Let p = -64 - s. Let j be (-13)\/(-1*(1 - 0)). Calculate the greatest common divisor of j and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*v + 9*v + 24*v**3 - 14*v - 11*v**3 wrt v?\nAnswer: 78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -827*g**3 + 3790 - 3790 + (-4 - 3 + 1)*(0*g**3 - 4*g**3 + 3*g**3).\nAnswer: -821*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -5. Let y be 0\/(-2*s\/(-6)). Calculate the remainder when (-2 + 1 + y)*-42 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/9)\/((10\/165)\/(-1)). Suppose 0 = -o + 17 - 51. Let a = o + l. What is the least common multiple of a and 20?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/10128 and 46\/43647?\nAnswer: 147352272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.049 + 3780?\nAnswer: 3773.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905 is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yeye when four letters picked without replacement from yeeeyyyy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132408.4 rounded to the nearest 1000?\nAnswer: 1132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - 5 - (1 - -2). Let s be ((-3)\/3)\/(3 - z). What is the third biggest value in -0.15, 0, s?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4932673.31 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(99) + sqrt(99))\/sqrt(9)*-3*-3.\nAnswer: -27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 9*d**2 + 19*d + 23. Let b(n) = n**2 + n + 1. Let q(m) = 3*b(m) - u(m). Suppose 92*t - 116*t = 312. Is q(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/(4\/((-224)\/21)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3289 and 10198331?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 4, 10, 39, -8 in descending order.\nAnswer: 39, 10, 4, -8, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -1 - -3) + -2 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 363262 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0 (c) -1\/35 (d) -2 (e) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)\/(v\/v**(-5))*(v\/(v*v**(1\/8)))\/v**(2\/5))\/((v**(-1\/4))**(-3\/20))**(2\/5) assuming v is positive.\nAnswer: v**(-777\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 1\/6*g**4 + 0*g**2 - 32\/3*g**3 - 1\/15*g**5 + 1\/90*g**6 + 0*g + 51. Let u(x) be the third derivative of q(x). Solve u(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuusuusuuss. What is prob of sequence ussu?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u = -2*h - 27*u - 1361, 4*u = -5*h - 3452. Let k = h + 704. Solve 4*y + k = z - 3*z, y = -2*z - 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.047 * 529.\nAnswer: 24.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*s - 1030, 3*y = -4*s - 2*y - 851. Let v = s - -299. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599725.\nAnswer: 5, 7, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -178192 divided by -12728?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a tonne in kilograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*s**2 + 1 + (-2 + 2 + 2*s)*(-3 + s + 3) - 7*s**2 - 2666 - 33*s - 27*s + 2661.\nAnswer: -8*s**2 - 60*s - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (-8)\/(-6))\/(20\/45). Let w be -3 + -1 - (-13)\/m. Factor 0 - 5\/3*i**2 - w*i - 4\/3*i**3.\nAnswer: -i*(i + 1)*(4*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 22 = 4*k, 5*b + 3*k = -24 - 3. Suppose 169*x - 219 - 229 = -617. Sort b, x, 5 in descending order.\nAnswer: 5, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g, -5*q = -2*g - 18 - 132. Let h = 32 - q. Suppose 0 = 6*d + h*d - 210. Calculate the lowest common multiple of d and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 19 = i - 5*z, -z = 3*i - 29. Calculate the remainder when ((-3520)\/(-24))\/(-44)*((-21)\/6 + -1) is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 9:39 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 1)*(2*p + 0 + 0) + 3 - 3 + p + 3*p - 6*p + 6*p - p + p - 2*p + (-2 + 2*p + 2)*(1 - 5 + 2) to h + g*p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - ((-9 - -1) + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**3 - 24*r**2 + 3*r + 7. Let b(l) = l**3 - 10*l**2 + l + 2. What is 14*b(a) - 4*g(a)?\nAnswer: -2*a**3 - 44*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*n - 4185, -2048 = -3*s - 3*n + 1117. Suppose 0 = 6*l - 1176 - s. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*f, -3*m + 0*f + 2*f - 25 = 0. Let h(s) = -s**2 - 11*s + 5. Let z be h(m). Suppose z*l - 28 = 7. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479120431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {y: 1, s: 1, b: 5, k: 1, x: 3, v: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 1 + -1 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 51 - 55 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ab26 (base 12) in base 2?\nAnswer: 100100111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 872946.9 nanograms to grams.\nAnswer: 0.0008729469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20964147 * -0.13.\nAnswer: 2725339.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 13*z - 390 = 105*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/619, -2, -960?\nAnswer: -960","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1126591 rounded to 4 decimal places?\nAnswer: 0.1127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000566449 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 26*x + 50. Let c be g(24). Let y(i) be the third derivative of 3*i**c + 1\/60*i**5 + 2\/3*i**3 - 1\/8*i**4 + 0 + 0*i. Determine y(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/16498 and -39\/22.\nAnswer: 181478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1484 and 169680.\nAnswer: 8993040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5386 - -6394. What is the greatest common divisor of q and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 25. Let r = -2 - y. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*p + 1581249, -2*s = -s - 4*p - 395322. Let q = s + 725182. Let a = q - 790492. What is a rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -16347\/2206?\nAnswer: -16347\/2206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/805? (a) 0.4 (b) -1\/46 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -79ca + 0?\nAnswer: -79ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 696891?\nAnswer: 1393782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**2\/2 - 3450*t - 1983750 = 0. Calculate t.\nAnswer: -1150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + -6. Let p = t + 41.91. Let r = p + 0.39. What is the closest to -0.01 in r, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -9*h - 83 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 163*c**2 - 910*c. Let h(b) = -19*b. What is o(h(a))?\nAnswer: 58843*a**2 + 17290*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (315\/280*72)\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -ec9668?\nAnswer: -ec9668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.005 + 0.005. Let s = -0.2 + 0.3. Which is the nearest to s? (a) -5 (b) -2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1887055\/2 < -943528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-5) - (-1 + 2). Let t(u) = u**3 + 4*u**2 + 3*u + 1. Calculate the remainder when t(g) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1274 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 408 in descending order.\nAnswer: 408, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmmixjqxxmqqqq. Give prob of picking 1 q and 1 j.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/7, 3\/4, -0.4 in decreasing order.\nAnswer: 3, 3\/4, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46883399 by 229.\nAnswer: -204731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/324*2112\/(-44).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -767*l - 88. List the prime factors of y(-10).\nAnswer: 2, 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -324482648 by 108668.\nAnswer: -2986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 divided by 6?\nAnswer: 161\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.57, -2\/9, 5\/239 in descending order.\nAnswer: 0.57, 5\/239, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) 3 (c) 181 (d) 43 (e) -0.6 (f) -2\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a. Let s(n) = -120*n**2 + 13*n. Calculate s(l(z)).\nAnswer: -1080*z**2 - 39*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**4 + 173*n**3*z**3 + 4581*z**3 with respect to n.\nAnswer: 8*n**3 + 519*n**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*r = 110*r - 5*c + 8025, -1614 = -r + 2*c. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -397993025*f**3 - 15772*f**2 + 4013 wrt f?\nAnswer: -2387958150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 4*i**2 - i. Let v be r(4). Let g(p) = 0*p**3 - 3*p**3 - p + 2*p**3 - 20 - 2*p**2 + 18. What is the remainder when 134 is divided by g(v)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -130, -199, -216, -181?\n\"Answer: 26*q**2 - 147*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (sqrt(242) - (0 + sqrt(242) + 0)))**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4486.86 - -4487. What is the nearest to 1\/4 in f, -1, 51\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51307, 102626, 153951, 205282, 256619, 307962?\nAnswer: 359311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/7)*w\/(w*w**(1\/46)))**(8\/3) assuming w is positive.\nAnswer: w**(524\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3609779, 7219563, 10829347, 14439131, 18048915, 21658699?\nAnswer: 25268483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(9)\/sqrt(3) + 0 + 4*(sqrt(3) - (sqrt(3) + -2)) + 0 + sqrt(33)\/((sqrt(55)*-3)\/sqrt(5)))**2.\nAnswer: 28*sqrt(3)\/3 + 151\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 496 (base 11) to base 8\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-1 + -8 + 16 + -5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = 5*f, 3*f - 19 = 2*a - 0*f. Let o be 16\/(-56) + 2\/a. What is the nearest to -1 in -0.1, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/(32 - 41) + 6*-1 - 4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*v + 122*v + 11*v = 2421090. Calculate the greatest common divisor of 210 and v.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4894992 divided by 5.\nAnswer: 4894992\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173560763.\nAnswer: 19, 853, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46, -25, 60, 209, 422, 699?\n\"Answer: 32*y**2 - 75*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 57. Let r(v) = v**2 - 10*v - 22. Let t be r(x). Let j(m) = m**2 + 3*m - 4. Let a be j(-4). Solve t*f = -a*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 493 - 483. Solve -4*j + 9*j = f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**2\/3 - 18814*m\/9 - 3136\/9 = 0?\nAnswer: -1\/6, 1568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*r = -45303, c - 6086 = 5*r + 39189. What are the prime factors of c?\nAnswer: 5, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4186 (base 11) to base 15.\nAnswer: -1994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 442360354 - 10?\nAnswer: 442360344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -103. Let x be 2\/(-5)*(-20)\/w. What is the smallest value in 2, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*3 - (-8)\/(-4). Let o be 5\/2 - u\/(-2). Suppose -141 = -o*b + 3. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1817945481 + 1817945554.0000059. Let k = -172 + 245. Let h = k - x. What is h rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -353733, -353739, -353757, -353793, -353853?\nAnswer: -353943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - p + 8 = p, -3*u + 6 = -3*p. Let l be (-2 + 3)*-2*1. What are the prime factors of 4\/l - (u - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 71, 7, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 3)*(-4 + 3 - 2) - 1 + 2 + 1)*(-i + 1 - 1) + 2*i - i + i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + r - 1103. What is n(33)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbjbbbojbboobbobob. Give prob of picking 1 j and 1 b.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*v, 3*v + 2*x = 8*v. Let l(k) = k**2 - 2*k + 161. What is the tens digit of l(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -17.5 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 686205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 152190 = -14*c. Suppose -q = -h + 7607, 0 = 11*h - 15*h - q + c. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/10)\/(2\/(-16)). Suppose h + 2*o = 3, -p*h = -o - 27 - 30. Suppose 0 = -12*m + h*m - 9. Solve 4*x + m = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*u - 142. Let x = 26 + u. Which is the nearest to 0.2? (a) 4 (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 - 8168*t - 25018584.\nAnswer: -2*(t + 6126)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5637, -5636, -5635?\nAnswer: -5634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-1 + -3)) + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -61 (b) 17 (c) 174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 155*x**2 - 208*x**2 - 458*x**2 - 65*x**2 - 508*x**2 as a + i*x + z*x**2 and give z.\nAnswer: -1084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1665, -1676, -1683, -1680, -1661, -1620, -1551?\nAnswer: -1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/5 - 28*a\/5 - 893\/5 = 0. What is a?\nAnswer: -19, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -52. Let s(l) = -19*l - 1112. Let f be s(-59). What is the derivative of -6*k - c*k + 16*k + f wrt k?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -12*t. Let m(i) = i. Let l(y) = -24*m(y) - 3*u(y). Let n(w) be the third derivative of -2*w**5\/15 - 11*w**2 - w. Calculate n(l(q)).\nAnswer: -1152*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, v: 2}. Give prob of picking 1 v and 2 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6\/11 (b) 3\/8 (c) -4 (d) -0.5 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 2*d**2 - d - 4*d**3 + 0*d**3. Determine l(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7771 = 127*w - 125*w - 5*m, -2*w + 7741 = 5*m. Is 3877 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 606945\nAnswer: 1\/121389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7308 - -10705. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*p + 25*p + 6*p - 14*p - 6*p + 347 as l + z*p and give l.\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19975 divided by -5?\nAnswer: -3995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468*s - 1749*s - 1488*s - 1758*s + 648*s.\nAnswer: -4815*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 429 - 165. Is 33 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s + 6 = 0, 4*q = -4*s + 12. Let j = 1 + 0. Sort 2, j, q in ascending order.\nAnswer: j, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56.07555 - -0.03555. Round c to 0 decimal places.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 3, -74, -227, -480?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9566919 to the nearest integer?\nAnswer: 3093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2293 - -2293.5. Let n(t) = -10*t - 2. Let g be n(-1). Let q be g\/18*(-6)\/(-20). What is the third biggest value in q, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1062, 4220, 9476, 16824, 26258, 37772, 51360, 67016?\nAnswer: 84734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -1466, -2, 8 in decreasing order.\nAnswer: 8, 3, -1, -2, -1466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 151 divided by 633\nAnswer: 151\/633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -8, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 33 = 3*w, 2*y - 17 + 51 = 5*w. Let l = w + -6. Let b be (-3)\/(-12)*-1*l. What is the smallest value in 0.5, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = 4*q - 1710. List the prime factors of q.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87\/4, 14, -5, 5\/196, -4, -1\/2 in descending order.\nAnswer: 87\/4, 14, 5\/196, -1\/2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 10*c + 10. What is w(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5181, 4883, 4587, 4293, 4001, 3711?\n\"Answer: i**2 - 301*i + 5481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2*l = -5*c - 4, -3*c = 8*l + 44 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 4871*l**4\/24 - 2039*l**3\/6 - 4007*l**2. What is the first derivative of f(i) wrt i?\nAnswer: 4871","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4268*g**3 + 2*g**2 - 1483 wrt g.\nAnswer: 25608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m - 203 = -35 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**6\/10 + 387*z**5\/20 + 12961*z**2\/2 - 355*z - 2. Differentiate k(w) wrt w.\nAnswer: 12*w**3 + 1161*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1984?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhrog. What is prob of picking 1 g, 1 h, 1 o, and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/(-11 + 1960\/176). Suppose -67*w = -o*w - 168. Solve -w*n - 14 = 4*u, 4*n + n - 2*u = 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113.016007 + -112.911. Let k = h + -0.185014. Let u = k - -0.08. Round u to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 73. Let w = 239\/2 + -119. Which is the second biggest value? (a) w (b) -0.3 (c) -5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 814 times -34319\nAnswer: -27935666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 22, 2, 34, 0 in descending order.\nAnswer: 34, 22, 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53353, -106714, -160073, -213430?\nAnswer: -266785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*-44*(-33)\/3630.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -154051 - -33891161\/220. Let i = 3\/44 + f. Let o = -96\/245 + -2\/245. What is the nearest to o in 1\/5, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (-770)\/(-22) - (-2 - -13)*1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 266 - 272. Suppose 9*g = 2*g - 7. Let p(r) = 9*r - 6. Let l(t) = 1. Determine g*p(s) + n*l(s).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 439*d + 14583. List the prime factors of s(-9).\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 601335455?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*f**5 + 153*f**3 + 16981*f wrt f?\nAnswer: 980*f**3 + 918*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -30\/13, 1\/3, 0.1, -12, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -20. Let k = 26 - c. Calculate the remainder when 46 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 469*v**4 - 1 + v**3 + 7*v + 467*v**4 - 1 + 83*v to the form a*v**3 + r*v + o*v**2 + j + u*v**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-148644)\/(-70) + (-2)\/7 - (-216)\/(-1080). Is z less than 2123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - 508 + 508.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -11*p - 19. Let c(x) be the second derivative of -x**3\/2 - 49*x. Determine m(c(l)).\nAnswer: 33*l - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 53 = -4*i + 8*i, 2*w - 2*i = -116. Let d be (76\/w)\/((-2)\/1200000). Let n be 74\/(-4)*d\/(-2). Round n to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-7\/2)*s**3*(s**(-13)\/s)**(10\/13) assuming s is positive.\nAnswer: s**(-267\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - w**2 + 2*w + 1. Let c be f(-6). Let k(l) = -64*l + 3619. Let a be k(56). What is the greatest common divisor of a and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35b00c5 + -1?\nAnswer: -35b00c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -19*p**9\/504 + 19*p**5\/30 + p**4\/12 - 4*p**2 + 2. Find the third derivative of c(w) wrt w.\nAnswer: -2280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 + 2878*h**3 + 11470*h**2 - 14350*h = 0. Calculate h.\nAnswer: -1435, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 7:09 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1592 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -11*y. Let j(r) = r**2 + r - 1. Let w(h) be the third derivative of h**5\/12 + h**4\/4 - h**3 - 4*h**2. Let p(i) = 6*j(i) - w(i). Determine v(p(b)).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 divided by -112.\nAnswer: -17\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (4 + (-42)\/6 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*r**3 + 10*r**3 + 2*r**4 + 7*r wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*f**2 + 63*f**2 - 138*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55, 230, 521, 928, 1451, 2090, 2845?\n\"Answer: 58*x**2 + x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**5 - 76*c**3 + 15*c wrt c?\nAnswer: -20*c**3 - 456*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 47.4. Let z = -7.1 - f. Let j = z + -39. Which is the closest to j? (a) 4 (b) -0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 193545953?\nAnswer: 193545953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 2150 = -519. Let p = -14 + 73. What is the remainder when b is divided by p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5 = 4*o + 1, 6 = -4*s - o. Let d be s\/(-6)*0 - 10. Is 112 - -1 - d\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 n, and 2 z when four letters picked without replacement from nnymnmnznsnz.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 27 - 39. Solve 0 = -3*i + l + 4 - 11, 0 = 2*i - w*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 192304703 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, d: 2, m: 4, v: 4, w: 8}. Give prob of sequence dvwd.\nAnswer: 8\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1577763 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 1 - 1 + (0 + 5 - 2)*(-79*y**4 + 23*y**4 - 16*y**4).\nAnswer: -217*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q + 5*s + 1994 = -32*q, 4*q + 3*s = 2649. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3. Let j be (8\/10)\/(d\/15). Suppose 4*p + j = 3*i - i, p = -i + 18. Calculate the remainder when 27 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -902*f**3 - 308*f**2 - 307*f. Give j(-1).\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4163 + -8329\/2. Let o = 0.4 + 0.1. Let r = -5.87 + -0.13. Which is the biggest value? (a) o (b) r (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c + 2*c - 36 = 0. Suppose 4*z = 5*x - 1, -3*z - 1 = -c*x - 2*x. Let v(y) = 5*y**2 + y. Determine v(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9928*d**3*f - d**3*i**2 + 4*d**3*i - d**3 - 61*d**2*i**3 + 11*d*f*i - 3*f*i**3 + 1786*i**3 wrt f?\nAnswer: -9928*d**3 + 11*d*i - 3*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-96)\/(-165) + (-2)\/5. Suppose -5*n - 4 - 11 = 0. What is the nearest to n in x, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89507 and 52327.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = t + 3*x, 4*t + 4*x = 88. Let d = 9 + -5. Suppose 0*y + 2*y + 80 = d*v, -3*v + 4*y = -70. What is the least common multiple of v and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c**2. Let a(h) = 85*h**2 + 4*h. Determine a(q(l)).\nAnswer: 6885*l**4 - 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3650*n + 99 = 3659*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*x + 2374 = -894, -4*x + 4 = 0. Suppose -z = 5*u + 361. Round u to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -156, -462, -1054, -2028, -3480, -5506?\nAnswer: -8202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 563923516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -72*m + 2469. What is the units digit of v(-82)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 46. Let q(c) = c - 8. Let a be q(8). Let o be l(a). Let x = -31 - o. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1214 is divided by 312?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 4*t + 6*t - 7 - 1. Calculate the common denominator of d(12) and 2 + 0 + (-129)\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 942*x + 46477. Determine f(47).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 + 3*p + 3. Let i(f) = 8*f**2 - 4*f - 4. Let n(j) = -j**2 - 12*j - 39. Let d be n(-6). Calculate d*i(q) - 4*c(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 1530 = -g + 2018, g - 3534 = -3*h. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 11. Solve s = -2*n - 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -3\/400276496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -529 + 528.9. Let d(p) = -p - 2. Let q be d(-6). Suppose 17 = g - 5*z, -g + 5 = -q*z - 8. Which is the closest to u? (a) g (b) 0.2 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1466 - -1471. Which is the fourth smallest value? (a) v (b) -162 (c) 0 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**3 - 10*n**2 + 2*n - 2. What is d(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*q - 54*q = 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + 12\/30*-5 - -2. Let d(a) = -18*a + 5. Let l(n) = 17*n - 4. What is r*l(t) + 5*d(t)?\nAnswer: 12*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b**3 - 51*b**2 + 36*b + 3. Let s(g) = g**3 + 10*g + 1. Determine -4*s(i) + x(i).\nAnswer: 2*i**3 - 51*i**2 - 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4360, 20, -2.\nAnswer: -2, 12, 20, 4360","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/31 (b) 11 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 + 0*s**2 - 2*s**2)*(0*s - s + 2*s) - s + s - s**3 + 35438*s - 258*s**3 - 931*s**3 - 35438*s.\nAnswer: -1188*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13231*l + 2804*l - 4943*l - 1362*l - 6971*l)*(-1 + 1 + 2).\nAnswer: -47406*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 3*g - 15. Which is the third smallest value? (a) -0.06 (b) 0.4 (c) -0.4 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-329376)\/1478790 - (-4)\/18. Let p = -73149031\/7229640 - a. Let k = 13\/264 - p. Find the common denominator of k and 79\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 11*f - 13. Let i be l(12). Let k be 1\/2*(-15 - i). Let c(x) = 845*x**3 - 7 + 2 - 6*x**2 - 846*x**3 + 6*x. Determine c(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*1\/3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/5)\/t**(-7)*(t\/(t*(t\/t**(4\/5))\/t))\/t**8*((t**1\/t)**42)**9 assuming t is positive.\nAnswer: t**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 160 * -0.042\nAnswer: -6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.1837 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 - 44 = -41*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11816 is divided by 5898?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -223553 or -223535?\nAnswer: -223553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -17. Let m be 9\/x*(-4)\/6. What is the tens digit of m\/(-5) - (-366)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 285 and 267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -t - 2*f + 15, -4*t - 2*f - 10 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -1, -5 in decreasing order.\nAnswer: 2, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16757 is divided by 1114?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3067de (base 15) to base 11\nAnswer: -1331164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1644 - -1645. Sort 25, n, 30 in decreasing order.\nAnswer: 30, 25, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 18*d**2 + 39*d + 9. What is t(20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 37*p**2 - 5*p + 15. Let n(t) = 55*t**2 - 8*t + 23. Suppose -12*d + 70 = 2*d. Let x(k) = d*n(k) - 8*c(k). Differentiate x(g) with respect to g.\nAnswer: -42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -30*v + 24*v. Solve -v*c - 2 = -5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574 + 572 + 573 + 55*b - 1719.\nAnswer: 55*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnonnonnxnnxnx. Give prob of sequence nnxn.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**5\/20 - p**3\/3 - p**2 - p. Suppose 0*f = -f - 2. Is 10 a factor of i(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 86. List the prime factors of v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340\/(-85)*48\/6?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1634\/7 + 234. Let m = 222.8 - 251. Let v = m + 28. Put -1, o, v in ascending order.\nAnswer: -1, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + m - 1. Let l = -2 + 1. Let z(r) = -7*r**2 + 8*r + 7. Let i(w) = -3*w**2 + 3*w + 3. Let o(f) = 5*i(f) - 2*z(f). Calculate l*x(y) - 3*o(y).\nAnswer: y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/136095 and 2\/3456813?\nAnswer: 17284065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1493 - 3)\/5 + 0. Suppose -v + t = q, 1186 = 4*v + 2*q - 0*q. Suppose 7*y = 2*y + v. What is the remainder when y is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4 + 50\/(-200))\/(31\/2).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {j: 2, p: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3 - 969342*j**2 - 117457351038*j - 1057037644098 = 0?\nAnswer: -242331, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 3*o + o**4 + 2*o**3 + 30 - 25 - o**2 + 3*o**2 to the form m*o**4 + v*o**3 + i + j*o**2 + p*o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 divide 1624398435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**6\/1440 - c**5\/96 + c**4\/16 - 3*c**3\/2 - 6*c. Let w(v) be the second derivative of s(v). Factor w(g).\nAnswer: (g - 3)*(g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j)**(-36)\/(j**(5\/2)*j**(-2)\/j) assuming j is positive.\nAnswer: sqrt(j)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 791*g - 33129 = -506*g + 70*g for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18.7768 and 3.\nAnswer: 21.7768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k**1)**(19\/2)*(k**(-1))**27 assuming k is positive.\nAnswer: k**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 8*l - 27 = 0. Let z be -4899 + (2\/l - 4\/12). Round z to the nearest one hundred.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 825201.4 grams?\nAnswer: 825201400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**47)**(-26) assuming r is positive.\nAnswer: r**(-1222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65372639, 65372638, 65372637, 65372636?\nAnswer: 65372635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 3*m**2 + 4*m**2)*(2*m + m**3 - 2*m) + m**5 - 3*m**5 + 3*m**5 + 5*m**5 - 5*m**5 - m**5.\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10146 + -6260. Does 29 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123*c*d*n*p**2 - 2376*c*d*p**3 + d*n*p**3 - d - n - 4*p**3 - 7745*p with respect to c.\nAnswer: 123*d*n*p**2 - 2376*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 + 0*v**2 - 2*v - 2*v**2)*(57*v**2 + 37*v**2 - 116*v**2) as x*v + c*v**4 + r + z*v**3 + h*v**2 and give z.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -3, -6\/7 in decreasing order.\nAnswer: 4, 0, -6\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/(-4) - 1)*2. Suppose -9727 = -w*d - 2012. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**5)\/l)\/(l\/l**(-5)) assuming l is positive.\nAnswer: 1\/l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -51115554 (base 6) in base 9?\nAnswer: -2660187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 6*z**2 + 9*z + 10. Let x be j(-7). Let o = x - -5. Find the first derivative of 2 + 13*u + o - 10*u wrt u.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 + 147. Let y = 87 - v. What is the third smallest value in y, 1, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*i + 3*h - 7, -4*i - 3*h = -16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 0.4\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45836 = -18*k + 45764 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 380 + -129. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1315, -1, 3 in descending order.\nAnswer: 1315, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 435?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46160 - -46162. Suppose 3*x = -x + 272. Solve 0 = a*p - 74 + x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 2. Calculate the lowest common multiple of 22 and n(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000110 - -1011111?\nAnswer: -1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116478242 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) 3\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/3529 and -131\/5018238.\nAnswer: 5018238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n = 18*n. Suppose n = -2*r + 10*r - 6376. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16, -7358 in descending order.\nAnswer: 16, -2, -7358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-9)*3 - -1. Let s(i) = -i - 2*i + b*i. Let f(c) be the third derivative of c**5\/60 + 2*c**2. What is s(f(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - 35. Let n = 1 - o. Let c = n + 1. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-14))\/((-21)\/6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 take away 68246.736?\nAnswer: -68247.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 142\/((-3872)\/(-276) + -14) a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 10:58 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 5) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/10 and 34\/55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, 8, 2\/3, 5, -5 in decreasing order.\nAnswer: 8, 5, 2\/3, 0.13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1952151 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 15347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 53, 64, 95, 158, 265?\n\"Answer: 2*c**3 - 2*c**2 + 3*c + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2, 6\/43, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0.8. Let r = 21.1 - 22. Let k = d + r. Put k, -5, -1 in decreasing order.\nAnswer: k, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*c + 413*c + 1908 = 0 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**3 - 2*j**2 - 9*j + 6. Let v be y(5). Let z = 182 + v. Calculate the highest common divisor of 52 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + 2 + (4 - 13) + 31 + (9 - 29).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/114452 and 101\/26.\nAnswer: 114452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1250947 (base 13) to base 8\nAnswer: 25627564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 2 + -2 + 5888 - -1. Suppose -c - d = -1148. What is c rounded to the nearest one hundred?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5736869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - -86?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.5, -0.4, -4\/5, -4, -306.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-3)*(-255)\/(-10) and -25\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616795158 to the power of 1\/2, to the nearest integer?\nAnswer: 24835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -3*f - 29, -77*f + 44*f + 31*f + 11*i + 4*i = -69 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.3 - -5. What is the nearest to 0.1 in 3\/5, d, 47?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h. Let m(y) = 11*y. Suppose 0 = -2*w - 3*w + 115. Suppose -2*o = -w + 5. Suppose 0*d - d = -o. Calculate d*n(u) + 4*m(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = 2*n - 0*l, 8 = 2*l. Suppose -10*x + 24 = -6*x. Sort n, -5, x, 2 in descending order.\nAnswer: x, n, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (308*f**2 - 596*f**2 + 2592*f**2)*(-f + f + 2*f) + 2*f**3 - 5*f**3 + 7*f**3 to the form t + y*f**3 + m*f + r*f**2 and give y.\nAnswer: 4612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - -0.75. Let v = -0.05 + t. Which is the third smallest value? (a) v (b) 5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -3*h**4\/8 + 134*h**3\/3 + h**2 + 891*h. Let x(d) = -d**2. Calculate b(x(p)).\nAnswer: 9*p**2 + 268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f = 10. Suppose f*t - 15*t = -30. List the prime factors of (6\/t - -210) + -4.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 62, 28, -28, -106, -206, -328, -472?\n\"Answer: -11*q**2 - q + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**6\/180 + r**5\/30 + r**3\/3 - 1. Let w(g) be the third derivative of a(g). What is the second derivative of w(b) wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 200 = -30*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 6 = 2*i - 3*q, 5*q = -3*i - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(18)*-1 + sqrt(18) + sqrt(18)))\/(sqrt(225) + (-2*sqrt(225) - sqrt(225)) + sqrt(225)) - (1 + 1*(sqrt(16)\/(sqrt(8)*-1) + sqrt(2))))**2.\nAnswer: 6*sqrt(2)\/5 + 43\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*g = 171, 2*a + 5*g - 79 = 14. Calculate the remainder when 154 is divided by a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -16733?\nAnswer: 16732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 31 - 959. Suppose 0*a - 4*t = 4*a - d, -4*a = -2*t - 958. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -0.279\nAnswer: -0.01395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, 1\/3, 112580?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((6*-1)\/(-2))\/(-1). Let g be a\/(2\/(-4)*3). Are 2 and g non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444034.\nAnswer: 2, 53, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - ((10 - 0) + -12) - (-5 - 15).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:54 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -8*d - 5. Let p = 4 - -2. Let u(o) = o + 1. Give p*u(g) + b(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -21, -33?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (14 + (5 + (-4 - 6) - 1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 - -48. What is the smallest value in -1, -1\/8, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/15 + 7\/5)*-5. Let d be (-253)\/(-9) + (m - -2). Let p = -25 + d. What is the closest to 1\/4 in 2, 3\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6301214109.\nAnswer: 3, 41, 43, 397127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/12 - -11\/12. Solve -l*i**4 + 0 - i**5 + 0*i**2 + 2\/3*i**3 + 0*i = 0 for i.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -10521*q - 8747. Let v(y) = 5257*y + 4375. Let r(m) = 4*j(m) + 7*v(m). What is the derivative of r(b) wrt b?\nAnswer: -5285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-three quarters of a milligram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31549240 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5008264.291 rounded to the nearest one thousand?\nAnswer: 5008000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 150*c + 13. Let z be f(-1). Let w = z - -150. What is the remainder when 38 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 5952120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.36 (b) 2 (c) 0.9 (d) 1\/5 (e) 69\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + 5*p + 3. Determine z(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 13 + 43 = 0. Let z = 90 + -87. Sort 6, i, z, -5 in descending order.\nAnswer: 6, i, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4892.783 minutes to milliseconds.\nAnswer: 293566980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2778190, 2778191, 2778192, 2778193?\nAnswer: 2778194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 56420*w**2 - 32706615*w.\nAnswer: -5*w*(w - 10671)*(w - 613)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 10*g**2 + 6*g + 31. Let j be k(9). Which is the nearest to 0? (a) j (b) -31 (c) 0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -y + 64. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-19)*(-45)\/270?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p - 5. Let s be i(0). Calculate the remainder when (-37)\/s + (-4)\/10 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) -3\/5 (c) 0.1249\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-13))\/p*p\/(p*p**(2\/3)*p*p))\/(p**(-15))**(-12) assuming p is positive.\nAnswer: p**(-509\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*g - 34, 2*v - 3*g + 0 = 27. Let t = -7 + v. Suppose -5*m - 29130 = -5*w + 25370, w = -t*m - 54500. What is m rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5022, -5134, -5246, -5358, -5470, -5582?\nAnswer: -5694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 49*q**2 - 113*q + 11. What is s(1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**0)**(3\/2))**39)**(-2\/9) assuming a is positive.\nAnswer: a**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 51 - 29 = 0. Let t(q) = 5*q**2 - 3*q - 6. Let c(i) = -6*i**2 + 4*i + 7. Determine j*t(h) - 4*c(h).\nAnswer: -h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11312 is divided by 135.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71128\/(-36087))\/((-108)\/207).\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwl when three letters picked without replacement from {w: 5, l: 15}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4)*n*n**(-7)\/n)\/(n**(-5))**48)**(5\/9) assuming n is positive.\nAnswer: n**(1555\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4 - 6*a**3 + 38*a**2 + 6*a - 36 = 0.\nAnswer: -6, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-36)*(-9)\/6*10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**4\/2 - 40*x**3\/3 + 19*x**2 + 123. Factor f(t).\nAnswer: 2*t*(t - 19)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -851\/5 + 171. Let 2*a**2 - d*a + 0 = 0. What is a?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -17 - -16 - (-87 + 114).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 148*n + 112. What is the tens digit of b(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 12. Let a(p) = -p**2 - 7*p - 1. Let o be a(-6). Suppose -o*t + 20 = -t. Sort t, j, -5 in descending order.\nAnswer: t, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6032 (base 8) to base 14\nAnswer: -11b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -94739414?\nAnswer: 18947882.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*i**5\/4 + 71*i**4\/2 - 369*i**3\/4 - 191*i**2\/2 + 34*i = 0. Calculate i.\nAnswer: -1, 0, 2\/7, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-17))**(-2) assuming l is positive.\nAnswer: l**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) + (-85)\/15. Let b be 4\/6*(2 + 4). Put b, y, -4 in increasing order.\nAnswer: y, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -630 - 15417438.\nAnswer: -15418068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, 0.3, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.545 rounded to two decimal places?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76133\/396 + 742\/99. Let s(z) = -40*z - 1. Let l be s(5). Let g = n + l. Does g = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 0, 0 = 3*q + 4*g - g + 3. Let w = -7 - -11. Let j be q + (0\/w - -26). Solve -1 = -5*y - j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 14*t + 224. Let z(k) = -17*k - 248. Let p(r) = -4*j(r) - 3*z(r). Calculate p(-34).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496043369.\nAnswer: 23, 31, 89, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 11. Let z be p(6). Let v be (-4)\/10 - (z - (-116)\/(-20)). Put v, 3\/2, -4, 1 in decreasing order.\nAnswer: 3\/2, 1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9210 + -3127. Is n a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1176 = i + 5*s, 0 = -2*i - 9*s + 5*s - 2388. Are i and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 263, 528, 793, 1058?\n\"Answer: 265*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*v - 117, v + 5*r + 5 = -7. Let o = -17 - v. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 9 + -49 + 32 - (-2 + -123 + 0)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 3*j + 9, 1 - 7 = 2*a - 2*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -37, -86, -167, -280, -425, -602?\n\"Answer: -16*h**2 - h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 15*t + 17*t - 15 = 0, 0 = -l + t. Sort l, -4, 1238, 0 in descending order.\nAnswer: 1238, l, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 11*t + 12 = 45 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*u = -u - 9, -27 = -3*c - 3*u. Calculate the remainder when (c\/(-6))\/(3\/(-76)) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13457265.\nAnswer: 3, 5, 421, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.105901 - 0.133.\nAnswer: -0.238901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 11:54 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -2*n**2 + 17*n + 0*n**3 + 0 - 19\/210*n**7 + 1\/20*n**5 - 97\/8*n**4 + 0*n**6. Find the second derivative of c(u) wrt u.\nAnswer: -228*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1431 and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((-35)\/40)*861\/(-369)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2142819.\nAnswer: 3, 7, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from {u: 1, n: 2, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -26 times -0.0958\nAnswer: 2.4908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 11*d - 26. Let o be (0 + 8)*(1\/(-6) - 8\/(-12)). What is t(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 5, -4, -29, -76, -151?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(700)))**2*-6 - (((sqrt(168) + (sqrt(168) - -1*sqrt(168)) - sqrt(168)) + sqrt(168))\/sqrt(8))\/(sqrt(18)\/sqrt(24)).\nAnswer: -4206 - 126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -145, -346, -639, -1030, -1525, -2130, -2851?\nAnswer: -3694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4620.5531045 + 4518.5531. Let p = -102 - m. Round p to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1404 + -132. What are the prime factors of t?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 7. Suppose m = -a*m + 4. Let f(d) = 2*d**2 - 4. What is the units digit of f(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 40*o**2 + 2*o - 61*o**2 - 2*o. Let f(j) = j**2. Calculate w(f(s)).\nAnswer: -21*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5 - 62*l**4 - 247*l**3 - 384*l**2 - 260*l - 64 = 0 for l.\nAnswer: -16, -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 0*l + 1\/24*l**4 + 0 + 4*l**2 + 1\/2*l**3. Give z(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.15, -17, 5, 1\/2, -3?\nAnswer: -1.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2637\/6)\/((-5)\/4 - -2)?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 46 = 166. Let t = c + 3. Let a = 490 + -475. What is the remainder when t is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 17 + 43. Let o(u) = 3*u**3 + 0*u**3 - 4 - 4*u**3 - 2*u + 2*u**2. Let k be o(3). Is k less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 + 491*y - 134.\nAnswer: 491*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k**2 - 2641*k + 12. What is y(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71296 and 12040?\nAnswer: 107300480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q - 9. What is the units digit of k(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*i + 6. Suppose 135*l = 131*l + 8. Calculate the lowest common multiple of i and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (2 - 0) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 470*n + 17 = -465*n, 4 = 4*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 661931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**3 + 76*r**2 + r + 5. Let f(u) = 5*u**3 - 77*u**2 - u - 5. Calculate 3*f(j) + 4*q(j).\nAnswer: -j**3 + 73*j**2 + j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 + 3*w**3 - 2*w**3 - 20*w**3 - 533*w**2 + 533*w**2 - 2 + 2 + 2*w**3 + (-5 + 5 + w**2)*(-4 + w + 4) - 4*w**3 + 2*w**3 + 0*w**3.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/13 + 16\/65?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 57174413 + 43.455\nAnswer: 57174456.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -16*v**2. Let c(n) = n. What is c(s(l))?\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 2*q + 4*q)*(-q**2 - 2 + 2) - 2*q**3 + 3*q**3 + q**3 + 0*q**3 - q**3 - 2*q**3 + 4 - 4 + q**3 - q**3 - 17 - 15 + 3*q**3 + 2.\nAnswer: 4*q**3 - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*b - 31*b**2 - 29*b**2 + 85*b**2 - 21*b**2 + 4 - 5 as h*b + r + o*b**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -277, 1\/10, -5, 2\/3, 2\/5, -0.8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -230817935985 and 0.09.\nAnswer: -230817935984.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1090, 4395, 10004, 18001, 28470?\n\"Answer: 14*k**3 + 1068*k**2 + 3*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 2482 + 16534 = 0. Let z = j - 1581. List the prime factors of z.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-15)\/(-6) + -2). Let p be 5\/(10\/4) - j. What is the derivative of -7*s**2 - 2 + 7*s**2 + 6*s**p wrt s?\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 304, 5, 28 in descending order.\nAnswer: 304, 28, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/2 + -3850 - -2. Let r be 25\/(-20) + j\/(-20). Round r to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1021200221101112 (base 3) to base 5\nAnswer: 14210114142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 822 + -821.19. Which is the third smallest value? (a) -0.5 (b) -2\/13 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-2)*(128\/24)\/2*-19 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30 or -6410\/219?\nAnswer: -6410\/219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = v - 455 + 1384, 543 = 3*h + 3*v. Let l = h - 121. Suppose -p - l = -5*p. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*t - 164*t - 5040 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612506 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26167*d**5 + 3*d**2 - 2*d + 181 wrt d?\nAnswer: -1570020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7\/2)\/(a**(-10)*a))**2 assuming a is positive.\nAnswer: a**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28101*l - 20128*l + 4171*l.\nAnswer: -44058*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8609, 7562, 6515, 5468, 4421?\nAnswer: 3374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Let g = -15 - -16. Let w = g - 0. What is the nearest to j in -12, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.712 + 543.988. Let v = 554 - k. Let r = 17\/3 - 110\/21. Which is the second biggest value? (a) r (b) 1\/8 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185 + -178. 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: Let u(s) be the first derivative of -77994*s**2 + 24*s + 92. Let n be u(-2). Round n to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -3 - (141987\/(-78) + 4). Let t = f - 1813. What is the common denominator of t and -73\/6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 - 46. Let i = d - 40.9. Let q = 0.011 + 4.989. Put q, i, -2 in decreasing order.\nAnswer: q, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*g, 2*g - 4*g = -4*q + 20. Let a(y) = y**3 + 0*y**2 + 4 + q*y - 4*y**2 + 10*y**2. Calculate a(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 3:49 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -35245\nAnswer: -2\/35245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19007392 to the nearest integer?\nAnswer: 4360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6*(-294)\/49. Let a(r) = -r**2 + 3*r + 6. Let x(o) = -o - 1. Let l(y) = -a(y) - 6*x(y). Determine l(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-12)*-3 - 1. Let v be (22\/(-8) - w)*4. Which is the biggest value? (a) v (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 2*j**2 - 5*j + 10. Let a be w(3). Suppose r - 135 = -a*d - 15, -5 = d. Differentiate -73*p**4 + r*p**4 - 39*p**4 - 27 with respect to p.\nAnswer: 112*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33707 or -33702?\nAnswer: -33707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwbe. Give prob of picking 1 e, 1 w, and 1 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 82, 303, 638, 1081, 1626, 2267, 2998?\n\"Answer: -n**3 + 63*n**2 + 39*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -27*k - 18. Let z be n(-10). Let u = 505 - z. Suppose 4*m - u = l, -132 = 4*m + 4*l - 380. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15191 divided by 11.\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153416520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1047228 and -61\/1795248.\nAnswer: 12566736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*a - 21105 = 429*a + 1737*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/41)*s**13*s*s*s**(3\/2)*s*(s\/(s\/s**(-2\/3)*s))\/s)**(10\/11) assuming s is positive.\nAnswer: s**(1765\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - 2*x**3 + 0*x + (-2*x**2 - 2 + 6*x - 6*x)*(x + 2*x - x).\nAnswer: -6*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**2 + 0*c**3 + 4 + 3*c**3 - 3 + 0 + c to the form i*c**2 + n*c**3 + q + f*c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4890 (base 10) in base 12?\nAnswer: -29b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 7108*z**3 - 3 + 6.\nAnswer: 7108*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*m - 259*m - 1691 - 2520 = -317 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49728 and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. Let t = -12 - -12.1. What is the nearest to q in 3\/4, t, 2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 3*v + 2*v)*(-2 - 4*v**3 - 11*v**2 + 11*v**2).\nAnswer: -16*v**4 - 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -133.2 and 0.5.\nAnswer: -66.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(-1 + sqrt(3)) + sqrt(12)\/sqrt(64) + 3 + sqrt(144)\/sqrt(3).\nAnswer: -7*sqrt(3)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (33\/(-2))\/(123\/(-4100))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -70, -61, -52, -43?\n\"Answer: 9*x - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/((-2)\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.44326kg to micrograms.\nAnswer: 38443260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38861, -155427, -349683, -621611, -971193, -1398411?\n\"Answer: 3*o**3 - 38863*o**2 + 2*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000839417954 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 1 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 13 = -4*p. Suppose -105 = 10*o + 115. Let r = p - o. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 85 + 13 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 15489.\nAnswer: -15489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -146*l**3 - 85*l**3 + 28*l**3 + 29*l**3 + 58*l**3 - 51*l**3 + (-3*l + 3*l - l)*(-2 + 2 - 2*l**2) in the form k*l**2 + b*l + z*l**3 + i and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven halves of a millisecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*v + 4. Let n = v + 11. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Let g be (5 - 19\/4)\/(121\/(-20) + 6). Put g, 4, s in descending order.\nAnswer: 4, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b + 16. Suppose 2*m - 21 = 5*i - 76, 2*i = m + 23. Suppose -4*w = -4*o + 32, -i*o + b*o = -w - 20. Solve v + 0 = o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 33\/5 of a kilometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-5))\/(38\/(-95)). Suppose 2*o = -2, 12 = 4*a - k*o - 7. Solve a*p - 8 = 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1494816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6362216 divided by -2?\nAnswer: -3181108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2845035 is divided by 2409.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*q + h - 15, -5*q + 50 = 5*h. Is q greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4010 + 1?\nAnswer: 4011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5752, 23654, 53490, 95260, 148964, 214602?\nAnswer: 292174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14629.07 rounded to the nearest 100?\nAnswer: -14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 40 - 28. Let v be (1 + 1 - 0) + (-12)\/k. Suppose v*u = 2*h + 27 - 239, -4*h + 4*u = -420. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 10*u**2 + 14. Suppose 3 = -6*j - 21. Let i be (7 + -12)\/((-2)\/j). List the prime factors of m(i).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 18 = 3*s. Let n = -1 + s. Suppose -n*t - 40 = -4*d + 37, 3*d - t = 44. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 384\/7*q**4 + 3145728\/7*q + 3\/7*q**5 + 393216\/7*q**2 + 0 + 18432\/7*q**3 = 0.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6*c + 6. Let q be (-51)\/(-6)*(460 - c). Suppose j = 5*i - q, -5*j + 783 = 2*i - 777. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30295 is divided by 230.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 - -38. Which is smaller: -14 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 47, 73, 99?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101878?\nAnswer: 2, 7, 19, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24031692 - 1345.\nAnswer: 24030347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 10*g**2 - 12*g + 6. What is l(3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 187685149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5 - 110*k**4 + 4273*k**3 - 68640*k**2 + 389376*k = 0. What is k?\nAnswer: 0, 16, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733176?\nAnswer: 2, 3, 17, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/6)\/(2\/4). Let f(n) = 3 + n - d. Let q(l) = -12*l + 11. Let c(h) = -h + 1. Let p(s) = 22*c(s) - 2*q(s). Determine f(p(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -686 * -8978\nAnswer: 6158908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26\/5, 0.2, 20, 5, 1\/7 in decreasing order.\nAnswer: 20, 26\/5, 5, 0.2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/7296*96*2*(-8)\/13\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 6112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.0999082 rounded to two decimal places?\nAnswer: 114.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 4*j - 1560. What are the prime factors of j?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 10 = 4*n. Suppose -3*j = 3*w + 9, -n*j = 5*w - 0*j + 3. Let q = w - -7. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23347 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 8 + 8)*(2*b**4 + 7*b**4 - 28*b**4).\nAnswer: -38*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:11 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*n - 23, -5*n + n = -2*r - 14. Sort -2, 0, -3, n in decreasing order.\nAnswer: n, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 - 3*z**3 + 5*z**3 + (6 + 1 - 4)*(2*z + 2*z**3 - 2*z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -169 - -173. Calculate the highest common divisor of 112 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100982 is divided by 50437?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9, -5, 8, 1 in decreasing order.\nAnswer: 8, 5, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from tttjgttgttjtgtgttj.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13106 and -0.07?\nAnswer: -917.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 96*f**2 + 396*f + 10884. Give c(-93).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 - 119. What is the tens digit of -2 + (642\/b - 2\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -207 - -541. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -10.\nAnswer: -23\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**4 + 3*y**4 + 0*y**4)*(-2 + 1 + 3) + 19*y**4 - 27*y**3 + 84*y**3 - 2*y**2 - 55*y**3 in the form o*y**2 + m*y + x*y**4 + j + v*y**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26168203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1277704, 1277705, 1277706?\nAnswer: 1277707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.48164 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2813 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 at least 1099\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 14, 15, 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + -0.16. Let a = -47 + 47.3. Let d = t + a. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-1)\/(-10)*(-28)\/70). Let m(k) = 2*k**2 - 4*k - 1. Let c be m(3). Solve 0 = -0*y - c*y - v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44313 (base 9) in base 15?\nAnswer: -8ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-32) + 33\/4. Find the common denominator of -43\/14 and (-30)\/40 + 162\/o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(-2 - 10 - 5*u + 2*u).\nAnswer: 6*u + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -111?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 = 0, -5*k - 4*r = -0*k - 6. Let t = -41 + 42. Let c = t + k. Which is smaller: -6\/5 or c?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 122 - 7433556?\nAnswer: -7433434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxyxxxxxyxxx. Give prob of picking 1 y and 1 x.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1356 divided by 3\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Suppose -3*l + 10 = 2*z, -z - 2*l + 19 = 3*l. Put z, 2, j in decreasing order.\nAnswer: j, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4213816 and -79\/52?\nAnswer: 54779608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10\/7 + -1. Let k = -1 - -1. Let l = k - -0.1. Which is smaller: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 3, u: 3, d: 3}. Give prob of picking 1 u and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 + 5*d**3 - 5*d**3)*(2*d + 1 - 1) + (2*d - 3*d + 2*d)*(5*d**2 - 5*d**2 + d**4).\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 39.\nAnswer: 17\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408, -3516, -12070, -28794, -56412, -97648, -155226?\nAnswer: -231870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hiih when four letters picked without replacement from hhhihhhihhhh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**3 - 4 + 1 + 8 - 7 - 11*w + 94*w in the form d*w**3 + n*w + a*w**2 + s and give n.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*d - 1 + 14 = 0, -2*o + 2*d = 8. Sort -22, o, 4 in descending order.\nAnswer: 4, o, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2.02144\nAnswer: 1.97856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121213330021 (base 4) to base 15.\nAnswer: 8ca42d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 191613697459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2465 is divided by 1953.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)*j)\/(j*j*j**(1\/9))*j*(j*j*(j*j**9*j)\/j*j)\/j*j\/j**4*((j*j**10\/j)\/j**(-1\/3))**(-2) assuming j is positive.\nAnswer: j**(-103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.3 - 1.3. What is the nearest to 3 in 10, 2\/13, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**5 - 8990*k**4 + 1653135*k**3 + 3333220*k**2 + 1671100*k = 0.\nAnswer: -1966, -1, 0, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 55*j**2 + 41*j + 766. What is the least common multiple of w(54) and 144?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40554460 divided by 2027723?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341.143 weeks to minutes.\nAnswer: 3438721.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 213 = 498. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + f. Let x(d) = 5*d**2 + 4*d + 10. Give 4*j(i) - x(i).\nAnswer: -i**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10208*b**3 + 20382*b**3 - 10190*b**3 + 4.\nAnswer: -16*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11964*i - 213. Determine o(0).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b**2 - b - 2*b + 4*b + 3 + 1. What is the units digit of g(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8592 - -8598. Calculate the smallest common multiple of 2682 and w.\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13036.537 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (145 + -13)\/11 + (29 - (-4347)\/(-105)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -29*d + 1149. Calculate n(39).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -x - 4, 38*x - 36*x + 7 = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 2*h**4 - 3*h)*(0 - 3 + 0)*(-4*h + 7*h + h).\nAnswer: 24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.8, -3, -0.3, -2\/9, -1\/21 in decreasing order.\nAnswer: -1\/21, -2\/9, -0.3, -3, -5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -169 - -1179\/7. Let i = 23 - 22.9. Let h = -4 - -8. What is the third smallest value in c, h, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -83*v - 379. Give o(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7419, 6233, 5047, 3861, 2675, 1489?\n\"Answer: -1186*v + 8605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*p = -39*p - 140. Find v such that v**2 - 18*v - v**4 - 2*v**4 + 4*v**3 - 3*v**4 + 2*v**2 + p*v**4 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 546 and 7882602?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6914, -6307, -5700, -5093, -4486, -3879?\nAnswer: -3272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 - 4*b - 8. Let n(x) = -2*x**2 + 23*x + 12. Let g(h) = h**2 - 23*h - 13. Let o(c) = 4*g(c) + 3*n(c). Let u be o(-11). Does 54 divide y(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*z = 11. Let c = -12 - -21. Let s = 322 - 318. Solve -s*l - c = z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -21, 2, -14946.\nAnswer: -14946, -21, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)*u)**(-9)\/((u*u\/u**(2\/5))\/(u\/(u\/u**(-1\/7)*u))) assuming u is positive.\nAnswer: u**(-516\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/5*50\/(-20). Let i be 1*128\/m*(-6)\/(-22). Which is smaller: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-1 - -2) - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b = -19*b - 10. Suppose -3*s - 3 = -b*v - 3*v, 0 = 4*v + 4*s + 4. Suppose -m + 10 = -i - i, -5*m + 5*i + 30 = v. Sort 0, 14, 1, m.\nAnswer: 0, 1, m, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqqqqqqqqqqqcqqcqqqq. Give prob of picking 2 q and 2 c.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/25)\/((-65)\/5590*72\/15).\nAnswer: -43\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10725*m - 1133*m + 1074304 for m.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11120201110 (base 3) to base 4\nAnswer: -112001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 5*c**3 - 161318115*c**2 + 1301176469380455*c + 3903530860004535 = 0.\nAnswer: -3, 16131813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10174*g**3 + 5137*g**3 + 18464*g**3.\nAnswer: 33775*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = -28*x + 5330. Suppose 0*y + x = -13*y. Is -44 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*w**2 - 7*w**2 + 9*w**2)*(2*w**3 + 2*w**3 - 6*w**3)*(1 + 3 - 5).\nAnswer: -100*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**5 - 354*u**4 - 32376*u**3 - 185840*u**2 - 366096*u - 242208 = 0.\nAnswer: -174, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 10:33 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from {h: 1, j: 1, l: 2, m: 3, w: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13166 - 12454. What is the greatest common divisor of 32 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 - 1622*r\/9 - 3752\/3.\nAnswer: -2*(r + 7)*(r + 804)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 19 = -0*j - 12*j + 9*j, 0 = -5*j - 7*i + 28 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 = -2*i + 44*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 92 = 6*t. List the prime factors of -2*t\/8*-4.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1558 + 218. Suppose -5*m = -2*m - 15, t - 5*m = j. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0823*-13.6.\nAnswer: -1.11928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4283 is divided by 818?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b**3*d - 2*b**3*j - 21*b**2*d**3 + 457*b**2*j + 6*b*d*j - 2*j wrt d?\nAnswer: -4*b**3 - 63*b**2*d**2 + 6*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/13)*a*a**(-11)\/a)**(-21))**(-43))**(1\/7) assuming a is positive.\nAnswer: a**(-18705\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 0. Let b be (-2)\/4 - 7\/(-2). Put b, g, -5 in ascending order.\nAnswer: -5, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 23. Suppose -r = -2*b + 1. Solve -2*c = -4*c - b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 231, 307, 487, 813, 1327, 2071?\n\"Answer: 7*r**3 + 10*r**2 - 3*r + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59383 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17233153 divided by 6?\nAnswer: -17233153\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2*2\/(-6))\/(6\/(-648)). Let m be (-10)\/65 - l\/(-39). Let s(w) = 5*w**3 + w**2 - 3*w - 2. Give s(m).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 12*s + 2*w = 15, -2*s = -3*w - 16. What is the smallest common multiple of s and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 13*x = -17*x - 22, 0 = 5*b - x + 29 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(756) + sqrt(21))\/(sqrt(6)\/sqrt(18)) + (sqrt(7)*-1*-6 - (3 + sqrt(7)*-2))**2.\nAnswer: -9*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/114 and -29\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + -2 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/1607 - -49859\/11249. Let z = 980\/11 - 89. What is the common denominator of n and z?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 7*v**2 - v**2 - 3 + 6*v**2 + 3 - 2*v**2 - 3*v + 3*v + (5 - 1 - 3)*(-3*v**2 + 5*v**2 - 3*v**2) + 3 - 3 - v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30320 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 23. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + sqrt(80) + 1*(sqrt(80) - (sqrt(80) + 0))**2)*3.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22+-16119454054\nAnswer: -16119454076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6892961991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 7. Let b be c(-9). Factor 2*t**5 + 3*t**3 + b*t**5 + 3*t**3 + 6*t**3 + 12*t**4 + 4*t**2.\nAnswer: 4*t**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1\/7, -0.4, -5, 0.9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/43, 4\/37, 21946, 1, 3\/7, 0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 1. Let s(o) = -o**3 - 1. Let n = -614 + 615. Give n*a(b) - s(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 f when four letters picked without replacement from ffffttfttfffffft.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 + (16 - (-8 - (9 - 51)) - -6)?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1005, 3, 1, 5, -8.\nAnswer: -1005, -8, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.321 and -12.\nAnswer: -3.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11878 - 11871. Sort 4, -3, -2, -5, p in increasing order.\nAnswer: -5, -3, -2, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 191 - 190.842. Let q = -28.842 - t. Which is the nearest to -1? (a) q (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15513*g + 16626*g - 3289 + 91216 = 0 for g.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -6.6. Let v = -0.862 + g. Let q = v - -0.33. What is q rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - j**2 + 2*j - 3. Suppose 6 = 3*i + 2*v, 3*i - 17 = 4*v + 7. What are the prime factors of q(i)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 2, 4, -677 in ascending order.\nAnswer: -677, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 680584.\nAnswer: 680583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 0, 4, -2, 488921 in decreasing order.\nAnswer: 488921, 4, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(112)\/sqrt(2))\/(sqrt(968) + 1*sqrt(968)).\nAnswer: 3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 5*u**2 + 7*u + 6. Suppose -4*o - 24 = 2*w, 5*w + 2*o + 33 = o. Let t be g(w). Solve y = -3*c + 3, 2*c = y - t*c - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i. Let k(c) be the first derivative of 13*c**4\/12 + 7*c + 1. Let v(r) be the first derivative of k(r). Determine o(v(l)).\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 9:01 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**4 - 6*q**2 + 2*q + 4. Let b(z) = z + 7 + 2*z**4 - 19*z**2 + 6*z + 6 + 4*z**4. Let r(f) = 7*a(f) - 2*b(f). Suppose r(w) = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2. Let n(d) = 3*d**2. Let w(m) = -4*n(m) + 5*u(m). Let x be (-2)\/3*(-22 - -1). Let g(r) = 10*r + 6*r + x*r - 27*r. Determine g(w(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2+8399182\nAnswer: 8399184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**3 - 2*h**2 - 2*h - 1. Suppose 2*q = -2*q + 112. Suppose -4*c - 19 = -3*k, -4*k - 8 + q = 0. Determine l(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3052 + -1404. What is the highest common factor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10828331 and 1426?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(3 + 2 + 10)*(830*n**4 - 100*n**4 - 83*n**4).\nAnswer: -19410*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*s - 7 = 0, 2*r - 3*s + 0*s = 11. Find the third derivative of 4*h**4 - 5*h**4 - h**r + 0*h**4 + h**2 wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h**2. Let t(u) be the second derivative of 0 - 5*u + 0*u**2 + 1\/3*u**3. Give y(t(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 2*h**2 + 5*h - 2. Let r be v(3). Which is the third smallest value? (a) 1 (b) 2\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4080282 is divided by 115?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -82*m. Let i(r) = 208*r + 2. Give h(i(p)).\nAnswer: -17056*p - 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/22334 and -3\/22334.\nAnswer: 22334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1672174343 and 3826?\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 - 1228*y - 5 - 76 + 1237*y.\nAnswer: 9*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29479 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-91)\/(-35) - (-9)\/(-15). What is the third derivative of -5*n**6 + 20*n**6 - 11*n**6 + q*n**2 wrt n?\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -8. Suppose -5*r + 4 = -4*r. Suppose o - 6*o + 5*q = -20, 0 = -r*o + q + 22. Calculate the lowest common multiple of o and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 58 (c) 0.03 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(2 - 5 + 4)*(-4 + 0 + 5 + (-2 - 1 + 1)*(3 + 0 - 2) + 6 + 0 - 3)*(8*v - 9*v + 0*v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, x: 11, q: 1, v: 2, w: 1}. What is prob of sequence vkxx?\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 2*u**2 + 10*u**2 - u**2 - 3*u**2 + 6*u**2 + (-3*u - 2 + 2)*(-3*u + 5*u + 0*u) - 7 + 2*u**2 + 7 in the form k*u**2 + l*u + c and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1381848 and 516?\nAnswer: 1381848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*x - 24, -5*x - 14 = -3*x - 5*w. Suppose -4 = 5*q - x*o, q = o - 5*o + 13. Let d(j) = j**2 - 2*j + 1. Let g be d(q). Solve -4*h + g*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 3. Let b = n - 1. Let x = 1 + b. Is x greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6017 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c + 26. Let z be k(-5). Let u(i) = -i**3 + 4*i**2 + 8*i + 1. Let m be u(z). Let p = 109 - m. List the prime factors of p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/655539 and -101\/9614572.\nAnswer: 28843716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-183)\/(-61))\/(15\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/69)\/(6\/138).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**2 + 113*c + 96. What is the remainder when 1393 is divided by w(-28)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1744 and 127966.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 26 = -36 - 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127.4 + -131.4. What is the nearest to -2\/9 in -0.9, g, 2\/9, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5760\/(-1760))\/(6\/99)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from aapapxaxp?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 + 0 + (-372 - -377) - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**5*o**3 + 92*l**5 - 41*l*o**3 - 3*o**3 wrt l?\nAnswer: 20*l**3*o**3 + 1840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*41\/(287\/(-14)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 40475*s**3 - 3*s**2 - 40469*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 10*y**2 + 30*y - 15. Suppose -112*s - 7 = -105*s. Let a(c) = -c**2 - 2. Let i(r) = s*l(r) - 15*a(r). Let i(k) = 0. Calculate k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 12 = 16. Sort -3, -6, 1, i in decreasing order.\nAnswer: i, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 10*v**2 - v + 9. Let t(b) = 2*b**3 - 20*b**2 + 2*b - 19. Let g(m) = -3*t(m) - 7*z(m). Let i be g(10). Solve u - i = -0*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -37*c - 42. Let w be (28\/(-14))\/(-1 + 6\/5). What is the hundreds digit of d(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 + 24444.928?\nAnswer: 25555.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o**3 - 4*o**3 - 11*o**2 + 0*o - 50 - 12*o + o + 10*o**3. Does 24 divide q(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9 = 9. Let r = o - 7. Suppose u + 5 = 5*y, 2*y - 1 = u - r. Which is the third biggest value? (a) -1\/4 (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -15 and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -26451a0?\nAnswer: 264519a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2391 and 672.\nAnswer: 535584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 - -104.3. Let j be 2\/6 + 1\/(-3). Let a = 7542 + -7540. Put w, j, 1\/2, a in descending order.\nAnswer: a, 1\/2, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 320689117 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 933*a**5 - 13*a**4 - 20*a**3 + 48252322*a**2 wrt a.\nAnswer: 55980*a**2 - 312*a - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2\/4 + 27*c\/4 - 25\/2 = 0?\nAnswer: 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*a = 46*a + 5*i + 189, -5*a = -2*a - i - 35 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: (-2*65\/30)\/((-2878)\/25902)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m. Suppose -5*k + 3 = -5*t + 8, k - 7 = -3*t. Suppose -5*u + 4*y = -3, 5*u = t*u - y - 5. Calculate the lowest common multiple of r(u) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*x + 6*x + 32, 4*s - 3*x - 25 = 0. Determine d, given that -527*d + 127*d + 96 + 376*d**2 + 2*d**4 + 6*d**s - 124*d**3 + 4*d**4 = 0.\nAnswer: 1\/3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 + 3*p**2 + 2*p**3 - 8*p**2 + 6*p**2 - 3 in the form b + a*p + y*p**2 + j*p**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcppplspvvplp. Give prob of sequence cp.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3611739, -7223476, -10835213, -14446950, -18058687?\n\"Answer: -3611737*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -21.36, 0.3, 2, -0.1, 0.0372 in descending order.\nAnswer: 2, 0.3, 0.0372, -0.1, -21.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i**5\/7 - 68*i**4\/7 - 64*i**3\/7 + 52*i**2\/7 + 80*i\/7 + 16\/7 = 0 for i.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -12048, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2021880?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006459201 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 1838370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 29, -21 in descending order.\nAnswer: 29, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/3 + (-14)\/(-21). Suppose 4*f - 27 + k = 0. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1205*q**5 - 106*q + 22*q - 1602 - 1597 - q**4 + 3190 wrt q?\nAnswer: 24100*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32160 and 13920.\nAnswer: 932640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15*(4\/3 + (-2)\/2). What is the smallest value in d, 3\/5, 0, 1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -26. Sort -1, -3, y.\nAnswer: -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -0.04 (c) -11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfcpr. Give prob of sequence pff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 109. Suppose -142*m + 138*m + 48 = 0. Calculate the remainder when r is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -22. Suppose 0 = d*g - 3*g + 2. Let l(m) = m + 1. Let s be l(g). Solve -2*v + s = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2517 in 0.05, 4, -4, -3, 0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 368, 1752, 3204, 4760, 6456?\n\"Answer: 6*u**3 - 2*u**2 + 1348*u - 984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Let z(r) = r - 6. Calculate z(s(o)).\nAnswer: -o - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-4) - (-2)\/4. Suppose -t = -4*o - 2*t + 24, -2*o = -t - 6. Solve 9*l - o*l = z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44 - -10013413224?\nAnswer: 10013413323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 5625 + 11240 - 5617)*(-x**2 - 4*x**2 + 4*x**2 + (0*x + 2*x + 0*x)*(-x + 2 - 2)).\nAnswer: -6*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 8. Let r be q(-8). Let x(y) = -y + 4. What is x(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -36.1 from 0.9.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 136 = -l + 129, 12 = -2*l - 2*y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 10) to base 15.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3379972.609553607497 + 8.090446892503. Let q = m + -3379979. Let y = -1.7 + q. What is y rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a + 4*a + a**2 - 2*a + 3. Let q be z(-5). Suppose q*w - 128 = -w. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -265*n**3 + 5*n**2 + 75*n - 1. Let h(z) = -z**3 + z**2 + 3*z. Let r(m) = 5*h(m) - j(m). Find the second derivative of r(k) wrt k.\nAnswer: 1560*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4*v**2 + 2 - 3*v**4 + 2*v**3 + 2201*v - 2196*v to o + h*v**3 + f*v + m*v**4 + c*v**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - (-2146)\/6) + 282\/(-423).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -1221112021211?\nAnswer: -1221112021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 54. Let z be (-2 - -11)\/3 - 2. What is the derivative of -a - 5 + a + w*a + z wrt a?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/13 + 4990*m\/13 - 10236432\/13.\nAnswer: 2*(m - 1336)*(m + 3831)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 22*k. Let b(p) = -20*p. Let h(r) = -3*b(r) - 2*v(r). Let n(u) = 7*u**2. What is n(h(d))?\nAnswer: 1792*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzyozyoyyzozozozzoo. What is prob of picking 1 o and 2 y?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -3*r**4\/4 - r**3\/3 + 876*r**2 - 2. Let k(n) = -9*n**2. Calculate d(k(z)).\nAnswer: 162*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -31*j - 7. Let n(l) = l + 2. Let c be n(-5). What is the tens digit of q(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 24*o**2 - 7*o + 168. Let n be l(24). Which is the closest to n? (a) 1\/2 (b) 4 (c) -1\/5 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1838, -7353, -16546, -29417, -45966, -66193, -90098?\n\"Answer: -1839*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 37*k**9\/504 + 23*k**5\/60 + k**4\/24 - 10*k**2 + 2*k. Find the third derivative of s(t) wrt t.\nAnswer: 4440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 437940 and 37 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/3? (a) -32\/5 (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4*-1)\/((-384)\/12288).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 63*f**2 + 13*f + 16. Let c(n) = 180*n**2 + 37*n + 48. Calculate -6*c(z) + 17*p(z).\nAnswer: -9*z**2 - z - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + j + 6. Let t(y) = 22*y - 5. Is t(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1051 + 1045. Put 1, 5, g, -4 in decreasing order.\nAnswer: 5, 1, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 372969 and -12.\nAnswer: 372957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 3*n - 5*y, -2*n - 62 = -0*n - 4*y. Let q = -30 + 33. Suppose 3*m + 2*m - q*p + 146 = 0, 150 = -5*m + 5*p. Is m bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -601 - -702. Suppose g*c - 44462 = 58*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1\/3, 4, -6, 0.14732?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*d*x**5 - 238*d*x**4 - d*x**2 - 40659*d wrt x?\nAnswer: -3420*d*x**2 - 5712*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, -8, -12, -16?\n\"Answer: -4*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 2*j**2 + 3*j + 3. Suppose -7*l + 17*k + 121 = -2*l, -l - 43 = 5*k. What is r(l)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from fsagg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 5:11 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 8 + 192)*((h**3 - h**3 + 2*h**3)*(0 + h**2 + 0) - h**5 + 2*h**5 + h**5 - 2*h**5 + 2*h**5 + 2*h**5 + (-4 + 2*h**4 + 4)*(-h + 4*h - h)).\nAnswer: 1610*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56946*v + 6*v**2 - 11 - 56946*v + (3 - 2 + 0)*(2*v**2 + 0*v**2 - 3*v**2).\nAnswer: 5*v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3312 - -3284. Sort -3, 4, y, 2.\nAnswer: y, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13095*z + 8108*z + 8631*z + 9502*z + 1408*z as f + n*z and give n.\nAnswer: 14554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 9 + 2 - 4*o.\nAnswer: -3*o - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*k**2 - 1 + 1 + (2*k - 3*k - k)*(-1 - 2*k + 1) + 3*k**2 - 4*k**2 + 3*k**2 + (0*k + 0*k - k)*(21 + 45*k - 21) as i*k + r + x*k**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/21)*o*o**(21\/5)*o assuming o is positive.\nAnswer: o**(631\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Let j(f) = -f**2 + 2*f + 6. Let o be j(3). Solve -o*d + d + 10 = i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1263*s = -1131*s. Which is the biggest value? (a) -5 (b) 21 (c) s (d) 78\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**3\/3 - 1. Let w(i) be the second derivative of 0*i**2 + 0 - i + 0*i**3 + 1\/12*i**4. What is x(w(u))?\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -0.07, -2\/7, -3, -1.3, -8 in ascending order.\nAnswer: -8, -3, -1.3, -2\/7, -0.07, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -15 + (6 - (5 - 1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.275\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -u + 1, 4*u + 2*g + 3 = 17. Solve z = -c + u*z + 3, -2*c + z = -6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 109211830126 - 109211830126.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 409318 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -11. Let o be (-279 + -4)*-3 - j. Suppose -v = -5*d - 574, 4*d - o = -3*v + 965. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5024 (base 16) in base 2?\nAnswer: 101000000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1101, 0.2, -19, 0.1, -7, 0 in decreasing order.\nAnswer: 0.2, 0.1101, 0.1, 0, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + 2 + 5 + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 3*c + 3. Let m be d(3). Suppose 0 = m*n + n. Suppose n = 4*a - 5*q - 53, -q + 4*q = -5*a + 94. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)*f\/f**(-5)*f)\/(f*f*f*f**(-3\/5)*f**(-7)*f) assuming f is positive.\nAnswer: f**(169\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**3 + 22*l. Let o(d) = 5*d. Calculate t(o(y)).\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h. Let x(s) = -4*s. Let o be (-4 - -2)*8\/1. Suppose 4*u - u = -2*g - 44, 0 = -u. Let f = g - o. What is f*k(a) + 7*x(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/919 and -69\/10?\nAnswer: 9190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*y = 0, -3*y - 11 + 34 = -4*x. Is 6 a factor of ((-42)\/x)\/((-8)\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 210894.1mm?\nAnswer: 210894100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.6 or 2.632?\nAnswer: 2.632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 710 = h, -4*j - 5*h + 221 + 326 = 0. Is j greater than or equal to 143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/10 - 314\/(-12). Let n = m - 25. Let g = 0.2 + -0.2. Which is the closest to g? (a) -2 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + y + 1. Let s(k) = 30*k**3 + 27*k + 27. Let h(l) = l**3 + 42*l**2 + l + 43. Let z be h(-42). Let j be (5 + -32)\/(z\/2). Give j*t(i) + 2*s(i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1030 - 25023?\nAnswer: -30053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17*81\/918 + (-1523)\/(-2). Which is smaller: x or 768?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14122463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 5:29 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3236, -6367, -9498?\n\"Answer: -3131*f - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1798578\/7 or 256939?\nAnswer: 256939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 a factor of 575532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -216.14 - -216. Which is the fourth smallest value? (a) 4 (b) z (c) 0.1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5586767 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*v + 2*v - 5*d, 2*v - 5*d - 39 = 0. Is (204\/(v + -4))\/2 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -40, -96, -194, -334, -516, -740, -1006?\n\"Answer: -21*c**2 + 7*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.26 + 4.06. Let a = i - -3.7. Let h = 7.49933 - a. Round h to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from qedeaadaade.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2, -19, 3507?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 - 22 = 0. Suppose -4*y = -q*y. Solve y = -c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**5 + 3342*g**4 + 969555*g**3 + 21385800*g**2.\nAnswer: 3*g**2*(g + 24)*(g + 545)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101001011010111001101010 + 101?\nAnswer: 10101001011010111001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 2:38 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 27*n - 120. What is the highest common divisor of n and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) -5 (c) 3 (d) -7987 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*-1454.2256.\nAnswer: -116.338048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*d - 13 = 0, -15 = 9*k - 6*k + 9*d - 78 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-19 - (-904)\/48)\/((-3)\/36))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4631 + 4633. Let -2\/7*h**3 + 0 + 16\/7*h**r + 0*h = 0. Calculate h.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 (base 13) in base 7?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(-1 + sqrt(1872)) + -4)**2 - -3*(-1*(sqrt(1872) + (-1*sqrt(1872) - sqrt(1872) - sqrt(1872))) + sqrt(1872) - sqrt(1872) - sqrt(1872))**2*-5.\nAnswer: -768*sqrt(13) + 91744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54041*g**3 + 3*g**2 - 27*g + 6.\nAnswer: 324246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.759186 less than 0.136?\nAnswer: 11.895186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3, -1\/11, -5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 5. Let n(q) be the first derivative of -2*q**2 + 16*q + 20. Let g = -7 - -14. Calculate g*a(j) - 2*n(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9412 to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/18)\/((-4)\/(-12)))\/(-2) + (-5)\/(-20).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9368942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17)\/4 + 3\/(-4). Let b(w) = -w + 6. Let s(o) = -3. Let z(k) = n*s(k) - 3*b(k). What is the derivative of z(h) wrt h?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*f + 14 = 0, 2*r + 99*f + 4 = 104*f. Factor 0 + 1\/2*d**4 + 3\/2*d**r + 0*d + d**2.\nAnswer: d**2*(d + 1)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-25)\/15)\/5*-12. Suppose -x - 1 = 2, -s*x = -5*j + 27. Let a(n) = 4*n**2 + 3*n. Let i(b) = -b**2 - b. Determine j*i(v) + a(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (26\/4)\/((-4*(-3)\/(-24))\/2)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*t - 247 - 53 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3501 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.611 + -0.611. Sort 1\/4, g, -4, 4.\nAnswer: -4, g, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680849?\nAnswer: 13, 83, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 2 - 3)*(-4 - 6 - 5)*(1 - 2*f - 1) as z*f + r and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 2*q**2 - 5*q**2)*(-1 - 1 + 1) + 49*q + 0*q + 5*q - 13*q - 21*q**2 + 43*q.\nAnswer: -19*q**2 + 84*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7128)\/729 - (-3)\/((-81)\/6). Let p(j) = j - 1. Let r(v) = -9*v + 5. What is x*p(o) - 2*r(o)?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.057, -4, 5\/36, -5?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205.258 - 63.496. Round y to 0 decimal places.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 94 - 2. Let h be (-18)\/(-27) + 7\/b. Put h, -6, -0.4, -3 in descending order.\nAnswer: h, -0.4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*h + 3, -9 + 1 = -2*m - 4*h. Suppose m*x - 5*x - 16 = -2*y, -16 = -2*y - 5*x. Solve -4*b - y = -0*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -26*b**2 + 0*b**4 + 1\/6*b**5 + 0*b + 0 + 0*b**3. Let h(p) = -4*p. Determine h(i(q)).\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*h, -5*v + 2*h - 358 = -v. Let g = 112 + v. Solve 0 = 2*y + 16 - g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425686 is divided by 9250?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 4*q**2 + 3*q - 13. Let k(y) = 2*y**3 - 7*y**2 - 6*y + 24. Let l(v) = -6*k(v) - 13*u(v). Calculate l(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58.5 - -52. Let r = -6 - n. Sort 3, -3\/4, r.\nAnswer: -3\/4, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 - 2 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 65. Let j = 31 + -5. Is j not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, n: 3, j: 4, l: 8}. Give prob of picking 1 w, 2 l, and 1 n.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64374 + 167766 = 15476*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 17*j**3 + 13*j - 9. Give l(3).\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 - 10*t - 3. Give g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p**5\/p)\/p)\/p*p*p)\/(p\/(((p\/p**(3\/5))\/p)\/p*p))*((p\/(p*p**(1\/3)*p)*p)\/p)**(-3\/2))**(4\/7))**(5\/2) assuming p is positive.\nAnswer: p**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*m + 24 = 0. Suppose m*l = 5*b + 1, 4*b - 9 = b. Suppose l*p - 116 = -4*y, y = p - 2*y - 33. Solve o + 2*n - 15 = -2*n, 0 = 5*o - n + p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97 + 97 - 46*o to the form d + n*o and give n.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 4. Let d be n(-3). Let k be (12\/10)\/((-214)\/535). Let v be (2*(k + d))\/(-2). Solve -5*p + v*l + 7 = -6, -3*p = -5*l - 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a*p**2*s**2 - 53*a*p**2*s + 5*a*p**2 + 2*a*p*s**2 + 60*a*s**2 - 3*p*s**2 - 3*s**2 wrt p.\nAnswer: -16*a*s**2 - 106*a*s + 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34464, -34380, -34296, -34212?\n\"Answer: 84*j - 34548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 21*b**2 + 17*b - 55. Let f be a(10). Solve -6 = c - q, -18*c + 4*q - 20 = -f*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i**5 + 19305*i**4 + 4*i**3 - 77*i**2 - 2459*i - 4?\nAnswer: 240*i**2 + 463320*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 3.79834 * -0.2\nAnswer: -0.759668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 + 2 = 0. Let n be ((-1)\/v)\/((-4)\/24). Suppose 0 = -2*t + t + 3*w + 36, -4*t + 174 = n*w. What is the greatest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 + 7*l**2 - 9. Let s be u(3). Suppose 4*p - 101 = 5*o, s = -4*p + 2*p - 3*o + 45. What is the remainder when p is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*((-3)\/1)\/56634. Let c = p + -2728\/33989839. Let t = c + -201674\/32409. What is the common denominator of t and -23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(-1970)\/(-15)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 + 20*a + 465. Give p(-13).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 241180 and 1860?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8 + -1.6. Let l be (-1)\/(-6)*6\/(-9). What is the nearest to 1\/3 in -3, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 + 13.386235\nAnswer: 81.386235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -101352460 - -6089.\nAnswer: -101346371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*y**2 + 3)*((1 - 6 + 4)*(0*y + 2*y - y) - 6*y + 2*y + y).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18135\/4 + -8759173\/1932. What is the common denominator of -97\/1365 and y?\nAnswer: 31395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, w: 3, z: 1, n: 2, h: 1, q: 3}. Give prob of picking 1 q and 1 h.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*t**2 - 36 + 36)*(-t + t**2 + t).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.87 - 204.13. Let c = d + 208.00313. What is c rounded to four decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 145\/(7685\/(-5883)) + 5 + 1?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + ((1*sqrt(228))\/sqrt(6))\/sqrt(2) + -4*sqrt(304)*-1 + sqrt(304) + 1)**2.\nAnswer: 84*sqrt(19) + 8383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 301134 + 301006 = -4*h, 6*h = 5*d + 224 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*l + 25383 - 24946 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 24*v**2. Let s(t) be the second derivative of -34*t**3\/3 - 2469*t. Give s(i(d)).\nAnswer: -1632*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-9 + (5 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 + 3*u**3 - 15*u**3.\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 4*b**2 + 6*b + 2. Let w = -403 + 408. Give x(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -0.3 (c) 943 (d) 3\/13 (e) -1 (f) -1\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 11, -1, 1146?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 141*(-1 - 3)\/(-216) and 11\/276.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/27, -25, -2, -1.\nAnswer: -25, -2, -1, 1\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 745*u**2 + u. Let x be t(-1). What is the greatest common factor of x and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1555041 and 54162?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26098 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q + 216 = 0. Let a be ((-4)\/6)\/((-4)\/q). Let z(b) = b**3 + 11*b**2 - 14*b + 4. Let u be z(a). What is the greatest common divisor of 70 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 98*r**2 + 4*r - 10263. Give f(99).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 3:15 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 37*p - 680. Let k be d(19). Solve -11 = 3*h - k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -1\/15*l**5 + 6*l**2 + 0*l - 1\/3*l**4 + 0*l**3 + 0. Find the second derivative of o(y) wrt y.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 3*q - 2*q)*(-11 + 105 - 4*q + 603)*(2*q**3 - 3*q**3 + 2*q**3).\nAnswer: -8*q**5 + 1394*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (6 - (2 + 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 + 203 = -6*x. Which is the closest to x? (a) -0.1 (b) 2 (c) 6\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -276 - -276.00000117. Round h to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2860 rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2687 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 less than -505.15469941?\nAnswer: -504.55469941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1497)\/18 - (-35)\/18*2700\/4500.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 2:19 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 293 - 87 = -60 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/4, 2\/3, -5, 1.23?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -294522700 rounded to the nearest 100000?\nAnswer: -294500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 141*w**3 + 2*w**2 + 24*w - 66. Is q(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 967645 or 967643?\nAnswer: 967643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**3\/3 - r**2\/2 + r. Let k be m(-2). Let s(c) = k - 3 + 189*c**2 - 180*c**2. Let g(v) = -4*v. Determine g(s(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 2)*(1 - 2 - 3) - 2 + 2 - 3)*(-51*w + 58*w - 5*w**2 - 23*w).\nAnswer: -5*w**2 - 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5627.\nAnswer: 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 494 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463*o - 88*o - 96*o - 125*o - 107*o.\nAnswer: 47*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, 2, 3\/4, -25 in increasing order.\nAnswer: -25, -3, -0.1, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 27. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**6\/20 + z**5\/60 - 2*z**2. Find the third derivative of u(r) wrt r.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 - -65. Which is greater: -7 or h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5 + 1)*(-2*n - n**2 + 2*n) + 2*n**2 - 2*n + 2*n + (4 + 4 - 6)*(4*n**2 + 0*n**2 - 2*n**2).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14381 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2. Let m(o) = -o**3 - 5*o**2 + o + 7. Suppose -20 = -5*x - 0*x. Let d(g) = x*i(g) - m(g). Let w be d(-9). Solve -w*v + 5*v + 6 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*k + k - 31 = 0, -g - 4*k = -2. Factor -g*v**2 + 10 - 140*v**3 - 2 - 15*v**4 - 25*v + 113*v**4 + 65*v.\nAnswer: 2*(v - 1)**2*(7*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*d + 24, d - 3 = 2*d. Suppose 0 = 3*r - 3*p - 15, 2*r = 6*r - 5*p - 23. Suppose r*z - 3 - 1 = 0. Solve z*a = -0*a - f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) - 0 - 1. Let u = -422 - -570.2. Let k = u - 148. Which is the nearest to 0.1? (a) k (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -0.17.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 7. Suppose -x*h + 21 - 9 = 0. Suppose 8 = -2*c + h*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2. Let w(k) = k**2 + 2*k - 4. Let n(l) = 2*o(l) + w(l). Give n(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4414630 divided by -3685?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Suppose 0 = 2*g + 3 - 7. Let y(l) = 7*l - 8*l - g*l - 4*l. Determine y(v(z)).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y + 164. What is the hundreds digit of n(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96599 (base 10) in base 5?\nAnswer: -11042344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1715\/1854 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*v + 8, 9*l = 6*l - 5*v + 11. Suppose -o + 0*c = 4*c - 7, -5*c + 11 = l*o. Suppose 8*n + 55 = o*n. Which is smaller: -10 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 506913 and 3.\nAnswer: 506913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1068016775 by -213603355.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(76)*-5 + (sqrt(76) - (sqrt(76) + sqrt(76) + 1*sqrt(76)*-4))**2 + 5 + (-2*((sqrt(76) + -3)*4 + 0))**2.\nAnswer: -788*sqrt(19) + 6129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1042 + -2?\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47762 or 1789\/2?\nAnswer: 1789\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-3 - -3) - 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*c + 12, 2*c - 10 = -2*n - 4. Suppose 6*y = n*y + 48. Calculate the highest common divisor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t + 62 = -94 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1577 (base 10) to base 8\nAnswer: -3051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*r - 7, -r + 2*v = 4 + 1. Let j(g) = 3*g - 5. Let f(m) = 0 - 3*m + 2 + 4. Calculate r*f(n) - 4*j(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232113270?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 7326 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35177 divided by 1213.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -163, -162, -161, -160, -159?\n\"Answer: g - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1433 divide 61658090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 3*m + m)*(-1 + 5 - 2) + 2*m - 5*m + m - 3*m + 4*m + 0*m + m + 0*m + m + (-m + 2 - 2)*(-6 - 10 - 4).\nAnswer: 25*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50878773?\nAnswer: 3, 11, 17, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16*q**2 - 14*q - 9. Let v be d(4). Suppose 5*y - v = -3*b, -4*b + 45 = -10*y + 11*y. Calculate the highest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1198.1 + -1171.1. Which is the fourth biggest value? (a) -1 (b) -0.4 (c) y (d) 0.1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302041897 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*f + 7, -c + 0*f = f - 7. Suppose 2*z = -z + 15. Suppose -z*h + c = 2. Solve -3*x - 2*x + y = h, 5*x + 2*y - 2 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16398?\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**3 - 29381886*v**2 + 73454746*v + 44072844 = 0.\nAnswer: -7345474, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4435, -4427, -4405, -4363, -4295, -4195, -4057?\n\"Answer: p**3 + p**2 - 2*p - 4435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuzuw. What is prob of picking 1 u, 1 w, and 1 z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 7780*b - 2059056.\nAnswer: -4*(b - 1629)*(b - 316)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13475*j**3*t**2 - 3*j**3 - 28*j*t - 9*j wrt t.\nAnswer: -26950*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 8*i = 15. Let d(q) = -2*q**3 + 3*q**2 + 4*q + 1. What is d(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 207*n**2 + 5512*n - 23192. Give u(-36).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*h + 90 = 181*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 4, -3, -547 in ascending order.\nAnswer: -547, -3, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-3))\/((-4)\/102). Let l = -25 - p. Calculate the remainder when 27 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.8 - -1.2. Suppose 0 = -2*n - 2*z, 2*n + 2*z = 3*z - 15. What is the third biggest value in a, -4\/9, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 1670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 4*w + 1. Calculate the remainder when 35 is divided by j(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221686, 443375, 665064, 886753, 1108442?\nAnswer: 1330131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**5*d)**26\/(d**(4\/5))**(-28) assuming d is positive.\nAnswer: d**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/72 - 2249\/78?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -27749 and -27223 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**5\/60 + u**4\/24 - u**3\/6 + 222*u**2 + 11. Suppose -5*k + 16 = 6. Calculate d(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a2a120 + -4?\nAnswer: a2a118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53244 + 860*k**2 + 343*k**3 + 53244 wrt k?\nAnswer: 2058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 59*d - 34*d)*(1 - 1 - 5*d + 3*d - 3*d + 4*d + (2*d + d - 2*d)*(-2 - 3 + 3)).\nAnswer: 285*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 10*k - 7. Let y(v) = 52*v - 36. Let d(p) = 16*r(p) - 3*y(p). Let c = -4 + 6. What is the units digit of d(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/6)*j)**(-7\/11) assuming j is positive.\nAnswer: j**(-35\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 11. Calculate w(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4932 + 4916 - (45 + -1)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1393 + 3?\nAnswer: -1390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuujuujuujjj. Give prob of picking 1 u and 3 j.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9140 divided by -1828?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 84079 rounded to the nearest one thousand?\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1771 - 1423. Calculate the highest common divisor of 435 and z.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + i - 1. Let k(h) be the third derivative of -h**5\/20 + h**4\/4 - 5*h**3\/6 + 2*h**2. Let r(m) = k(m) - 2*v(m). Determine y, given that r(y) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -21376 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7714 and 71543290.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 0.23269, 0.2, -13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-39 + -25 - -11) + 24.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1481280 divided by 32?\nAnswer: -46290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*4\/(-1))\/(82\/(-41)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4214118*n - 1067643 wrt n.\nAnswer: 4214118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114279 + -1521824556.\nAnswer: -1521710277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 11:31 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*s**3*w**4 - 1517*s**3*w**2 + s**3*w - 19*s**2*w**4 wrt w?\nAnswer: 1632*s**3*w - 456*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/17))\/(v*v*v**(-2\/27)))**(19\/5) assuming v is positive.\nAnswer: v**(-7562\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**3 + 2*u**2 - 19*u + 117. Is g(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -19*c**2 - 47*c - 108. Calculate x(4).\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2640260 (base 7) to base 10\nAnswer: -345884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10956 and 9504?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*t + 9, 4*g - 2*t + 9 + 11 = 0. Which is bigger: -15 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -483.\nAnswer: -4\/483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1948 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**23)\/(k\/k**(-3\/16)))\/(((((k**(-15)*k)\/k*k*k)\/k)\/k*k)\/(k*k**21\/k)))**48 assuming k is positive.\nAnswer: k**2775","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkm when three letters picked without replacement from {k: 1, b: 1, m: 2, o: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*f - 30 = 0, 4*u + 12 - 2 = -2*f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - h - 3)*(2*h**2 + 3*h**2 - 4*h**2) + (-11 + 20 + 13)*(h + h - 4*h)*(2 + 2 - 1)*(-6*h**2 + 0*h**2 + 4*h**2).\nAnswer: 263*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v + 16. Let m be p(-4). Sort -1, m, 17 in ascending order.\nAnswer: -1, m, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151999187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 - 23*x + 11. Let p be m(9). Suppose 4*l - 123 = -p. Calculate the remainder when l is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*j + 41, 486*j = 491*j + 2*l + 4. Sort j, 1, 107, 7 in descending order.\nAnswer: 107, 7, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*h - 18384, 10*b - 8*b - 9194 = 2*h. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -26cd0?\nAnswer: 26cc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 - -16862319?\nAnswer: 16862319.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17589391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**6\/180 + 37*o**4\/6 - 153*o**2. Let j(m) be the second derivative of d(m). Let w(l) = -8*l. Calculate w(j(u)).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -11*u - 2. Suppose -589 = 5*j - 454. Let c(x) = -144*x - 27. Suppose 0 = -3*b - 0 + 6. Give b*c(v) + j*p(v).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 18*x**2 - 20*x - 29. Let u be r(-19). Let a be (u - 1)\/((-38)\/380). Calculate the greatest common factor of a and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2508202082 to four decimal places.\nAnswer: 0.2508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 269, 563, 1361, 2915, 5477?\n\"Answer: 42*u**3 + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13979554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.3, 2\/7, -1, 0.0175, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/7 - 24*t**3\/7 + 33*t**2\/7 + 60*t\/7.\nAnswer: 3*t*(t - 5)*(t - 4)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -20*i**3 - 3. Suppose -4 = -2*x, 3*v - 5*x = -33 + 14. Let w(h) = -561*h**3 - 85. Calculate v*w(l) + 85*o(l).\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.022114 * 0.4.\nAnswer: -0.4088456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/4 (b) -1.5 (c) -3 (d) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82 and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -921*m - 4*d = -926*m + 21281, -4*m + d + 17027 = 0. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54196a (base 11) to base 6\nAnswer: 30322415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 + -18. Let h = 34 - s. Let d = h - 54. Which is the nearest to 2? (a) d (b) 2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0*m + 0 - 5\/6*m**3 + 8*m**2 - 77\/8*m**4. Is u(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3210 divided by 30.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Let h(u) = -2*u**2 + u**3 - 8*u**2 + 2*u + 7*u**m. Let t be (-34)\/(-10) + (-7)\/((-175)\/(-10)). Calculate h(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o - 8*o + 16 + 7*o**2 - 13. Is c(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -229e85a - 4?\nAnswer: -229e85e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-40\/9)*n*n**(-2\/7))\/(n**(-34))**(3\/5) assuming n is positive.\nAnswer: n**(5251\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 180034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a milligram in micrograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -13. What is the third biggest value in -9, 2\/17, g?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5101.66126 to 1 decimal place.\nAnswer: -5101.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 964.\nAnswer: 964.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 154555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707373200?\nAnswer: 2, 5, 1768433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b + 0*b)*(-1 + 3 - 4) + (-2 + 0 + 0)*(0*b - 2*b + 4*b) - 42*b + 56*b - 76*b.\nAnswer: -64*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4055549820 and 1329?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-7))\/n**(-1\/8))**(9\/4)*(n*n**(-5))\/n**(-3\/4)*(n*n\/n**(-1)*n)**(8\/7) assuming n is positive.\nAnswer: n**(4391\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 - n)*(0 - 4 + 3) - 19 + 19 + 11*n)*(-n + 0*n + 0*n) as d + v*n + j*n**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -17*r**2 + 23*r + 66. Let i(f) = 12*f**2 - 16*f - 44. Give -7*i(q) - 5*u(q).\nAnswer: q**2 - 3*q - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 8. Let r be q(5). Let i be (4\/12)\/(r\/2). What is the biggest value in -2, i, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) - (sqrt(76) + 1 + sqrt(76) + 4))**2) + (sqrt(76) - (-4 + sqrt(76) + 2)).\nAnswer: -99 - 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*y**2 - 6*y**2 + 6*y**2)*(5 - 3 - 3)*(-6*y - 25*y - 27*y).\nAnswer: 580*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 539834 and 2699170.\nAnswer: 2699170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11592 divided by -92.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a. Suppose 3*l + a = 9. Let q be l + (12\/(-3))\/(-2). Solve -q*v - 20 = -5*g, -3*g = 4*v + 2 - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24963924 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -4 - (-26 - (24 - (27 + -13)))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 - ((1 - 4) + 14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2 - 3) + -11 + 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -71*f**7\/105 - 3*f**4\/8 - f**3\/6 - f**2 - 143*f. Find the second derivative of t(h) wrt h.\nAnswer: -1704*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7467923.\nAnswer: 211, 35393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22252681 and 88?\nAnswer: 178021448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2765.\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 2*a**6\/15 + 14*a**5\/5 + 20*a**4 + 208*a**3\/3 + 128*a**2 + 3*a - 51. Factor k(z).\nAnswer: 4*(z + 2)**3*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 + 2*u)*(3*u + 2*u - 3*u) - 2*u**2 - 2*u**2 + 6*u**2 - u**2 - 3*u**2 - u**2)*(3*u + 5*u - 4*u) to z*u**3 + i + h*u**2 + y*u and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 16. Suppose -h = -4*f - 6*h + 12, t*f - 6 = -4*h. Let k be 4\/(3*1\/f). Solve -2*d = k*j, -5*j = -0*d + d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26, 63, 100?\n\"Answer: 37*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-2) + (1 - -7) + (13 - 17). Let w(x) = x**3 + 7*x**2 + x - 8. Let z be w(-6). What is the greatest common divisor of z and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*p + 20, 3*g = p + 4 + 3. Suppose -5*v = -5*c - 0*c + 2055, 5*v = -g*c + 1249. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960 = 9*x + 789. Let l(f) = f**3 - 5*f**2 - 4*f + 46. Calculate the remainder when l(8) is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 10*b**2 - 4*b + 14. Give w(10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and -296753 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**2 - 2*q + 1. Let w be d(1). Suppose -v = -w*m + 6, 3*m - 3*v = -3 - 3. Suppose -2091*u = -2110*u + 57. Put 5, u, m in descending order.\nAnswer: 5, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.029698 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (-23 + (7 - 11) - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -1 - 2\/2. Suppose h*m = -m. Is (111 - m) + 0\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c + 42*c**2 + 49*c**2 - 94*c**2)*(0 - 4 + 5).\nAnswer: -3*c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -912, -914, -918, -924?\nAnswer: -932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 339578*d**3*z**2 - 23*d**3 + 8*d**2 - 10*d*z - 2*z + 4 wrt z?\nAnswer: 679156*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1439093.\nAnswer: 47, 67, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f - 21 = 0. Suppose 0 = f*h - 9*h. Suppose 301 = o - 2*w - h*w, w - 1516 = -5*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1466157*b**3 - 264*b**2 - 234 wrt b.\nAnswer: 8796942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3028, 6041, 9054, 12067, 15080, 18093?\n\"Answer: 3013*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4130, 2, 12\/13, -5, -1, -0.4, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14650 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 21*k**2 + 11*k - 151. What is h(-20)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-30.92\nAnswer: -30.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.86 times -168622?\nAnswer: 1831234.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 16*a - 8. Let n be y(14). Let f = 22 - n. Suppose -h + f = -3. Solve 3*j + h = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 55*k + 72. Is 69 a factor of z(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -32, -4, 0, -182, 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 3*d + 1. Let a be f(2). List the prime factors of 2 - (0 + a) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1781.21758 to the nearest ten.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 11:00 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n - 6. Suppose -k - 3 + 18 = 0. Is u(k) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 38537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 8:48 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7091 a factor of 1426575625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-3)\/(5 - 17)). Which is the nearest to 0? (a) k (b) -1 (c) -3\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - j - 2 + 4)*(-9 + 9 + j)*(10 - 3 + 18)*(3*j - 3*j - j) in the form t*j**2 + o*j + l*j**3 + c and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - 17*j**2 - 11*j - 17. Let h be f(-8). Sort h, 15, 1 in ascending order.\nAnswer: 1, h, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4995 and 10665?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27227?\nAnswer: 19, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6758417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16655.07 times 2?\nAnswer: 33310.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j - y = -108, -13*y + 9*y = -3*j - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 10 - (22 + (6 - (104 - 27)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 23*h**2 + 3259*h - 823. Give u(-142).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -69, -4, -4\/5?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-387)\/63 - -5)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**3 + n**2 - 2*n + 13. What is r(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20743 (b) -0.5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -701, -581, -461, -341, -221?\n\"Answer: 120*k - 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 >= -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*m = -2*m + 20*m - 6080 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10974*j**3*p - 6414*j**3 + j**2*p + 2*j**2 - 35*j*p + 19*j + 5*p - 133 wrt j.\nAnswer: 65844*p - 38484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -44. Let s = 26 + v. Does 25 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - c - 144. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 8 = 2*k. Find the first derivative of 8 + 16*n**2 + 4 - k wrt n.\nAnswer: 32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39569393*-0.1.\nAnswer: 3956939.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329409, 329426, 329443, 329460?\nAnswer: 329477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 260 - 31. Suppose -1191 + o = -4*g + 2*u, 0 = 3*g + 5*u - 702. Suppose -5*y + 393 = -3*p, 5*p + g = 3*y + 16. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 2*b**2 - 139*b - 39. Calculate m(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 + 2*y**3 + 2*y + 0*y + 2*y**4 + 0*y to h*y**3 + t*y**4 + k*y**2 + q*y + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + i**5 - 2*i + (-2*i - 2*i**2 + 2*i)*(4*i**3 - 4*i**3 + i**3).\nAnswer: -i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 323608261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 = -1. Let h(b) = r*b - 3*b + 5*b + b. Let l(s) be the second derivative of s**3\/3 + 15*s. Give h(l(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f - 29 = 5*l, 3*l + 18 = 2*f. Factor 2\/5*d - 2\/5*d**f + 0*d**2 + 0.\nAnswer: -2*d*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - a**2 + 2*a**2)*(-1 - 3 - 7).\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 2 + 0)*(1 + 1 - 3) - 1 + 3 - 1)*(90 - 90 + 97*x) in the form v + s*x and give s.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*f**4 - 15*f**4 - 6*f + 4*f**4 + 7 to the form o*f**2 + u*f**4 + l*f**3 + w + r*f and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71 or -7?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 408 + -151. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2357, 3213, 4069, 4925, 5781?\n\"Answer: 856*b + 1501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {c: 2, s: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37955071 is divided by 512.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.178807909 rounded to five decimal places?\nAnswer: -1.17881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*z**2 + 6839*z - 6839*z)*(-1 - 2 + 1)*(-3 + 1 - 16).\nAnswer: -972*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12140468*-25.\nAnswer: 303511700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-1 + 9)) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -209\/3 - -71. Which is the closest to 2? (a) -3 (b) -1\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 916 - 923. Let m be 4 + (0 - 3) + 31. Let z be (-4)\/m*6 + 1. Which is the closest to z? (a) -0.4 (b) -1\/8 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006144 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23905, -23475, -23061, -22663, -22281, -21915?\nAnswer: -21565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 1870413.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 7. Let q(a) = a**2 - a - 10. Let s be q(0). Let k be z(s). Let l = 0.42 - 0.02. What is the second smallest value in -5, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkpkpppppkkk. What is prob of sequence kkpk?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11473 by -6.\nAnswer: 11473\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1738 + -1745. Is 4\/23 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2180078 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + u - 3. Let h be i(0). What is the remainder when -3 + 6*(-16)\/h is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 2*m - 2*m**2 + 4*m - 2 + 2*m**3. Let u(b) = b**3 - 7*b**2 + 2. Let i be u(7). What is the tens digit of p(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*m = -2*m - 82, 4*z - 2*m = 86. Suppose -b + 2*b = 2. Calculate the remainder when z is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7552 + (-8 - -4)\/2. Let j = o + -2350. Suppose 2*u + j = 3*u. Round u to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/24*(-8)\/(-368)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (2 + -1*sqrt(171))) + -5)*-2*3.\nAnswer: -36*sqrt(19) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 107, 5 in decreasing order.\nAnswer: 107, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97979444 + 259079444. What is p rounded to the nearest one million?\nAnswer: 161000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104998181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 16 = 11*y - 15*y, -4*o + 19 = -3*y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118448*y**5 - y**2 - 1205*y + 11?\nAnswer: -7106880*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 27. Let v(s) be the second derivative of 0*s**b + 0 + 1\/6*s**4 + 0*s**2 + 3*s + 1\/20*s**5. Find the third derivative of v(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -531 + 492. Which is the third biggest value? (a) q (b) -3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1. Let i(c) = c + 9. Determine 3*g(j) + i(j).\nAnswer: j + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, n: 9}. Give prob of picking 3 n and 1 z.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f + 191252 - f**2 - 191253 - f. What is m(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*i = 3*u + 9, 15 = -4*u + 5*i. Let n = 9 + u. Let b(r) = 5*r - 8. Let j(h) = -10*h + 17. Let d(p) = -5*b(p) - 2*j(p). Determine d(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75301554?\nAnswer: 2, 3, 12550259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1361 and -10881\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31116 - 6401. Is 235 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 764*w**3 + 1238*w.\nAnswer: 4584*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 353\/16, 12, -1, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1186497.839 to the nearest 1000.\nAnswer: 1186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = -c - 3*m, -2*c + 2*m = -8. Suppose c = 9*l - 11*l + 130. What is the remainder when l is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4485050 and 16.19.\nAnswer: 4485066.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.36 times 0.109?\nAnswer: -20.31324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaaj when four letters picked without replacement from jaaajaajaa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 3*c**2 + 2*c - 5. Suppose -6*v + 19 = -7*v. Suppose -46 = 4*m + 14. Let s = v - m. Give g(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1900*l + 1904*l + 140 = -4*w, l - 2*w = -29 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1173 + 1117 + (24 - 3) + 0?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfr when three letters picked without replacement from yyyrwywfyyyyywrywyy.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14*(-10)\/(-245)*28. What is the highest common factor of b and 192?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -32617*w - 32638. Give t(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.0204 (b) -21 (c) -7 (d) -5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 4334*y**2 - 43*y + 9232. Find the first derivative of t(n) wrt n.\nAnswer: 8668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 5 + (-2 - 0). Suppose -18 - 138 = -s*y. What is the greatest common factor of 130 and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*3*(-6)\/(-99). What is the fourth biggest value in -0.1, 1\/4, t, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*y + 44*y + 53*y + 13*y**2 + 51*y**2.\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 14, 126, 1\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/2))\/(h**(-1\/9)*h)*((h**(2\/7)*h)\/h)**20)\/(((h\/(h\/((h*h*h**(1\/4)*h*h)\/h*h)))\/h)\/(h\/h**(-6\/7))*h**(-2)\/h**2) assuming h is positive.\nAnswer: h**(2251\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m*m\/((m*(m**(2\/5)\/m)\/m)\/m)))**(-14))**(-2\/21))**(1\/6))**(-29) assuming m is positive.\nAnswer: m**(754\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-14) - (-2 - (-22)\/(-7)). Let b(x) = -3*x**3 - 2*x**2 - x + 2. Let p(q) = -7*q**3 - 5*q**2 - q + 4. Determine y*b(d) - 2*p(d).\nAnswer: -d**3 - 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202238?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - c - 2 + (2 - 2*c - 2)*(0 + 1 - 5) + (-11*c - 45*c - 10*c)*(2 - 1 + 1) to v + l*c and give l.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/130400 and -17\/1750.\nAnswer: 4564000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-22)\/3)\/(1\/(-39)). Let c be 4 - (3 + 4\/(-2)). Suppose -c*q = -2*h - 3*h + 702, 2*h - b = -4*q. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -223, -332, -441, -550, -659?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {n: 5, f: 7, t: 8}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -80*j**2 + 7. Let y(z) be the third derivative of -9*z**5\/20 + z**3\/3 - 8*z**2 - 68. What is -2*q(o) + 7*y(o)?\nAnswer: -29*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*((-2)\/4)\/(2 - 4). Let m(s) be the first derivative of 3 + o*s - 1\/6*s**3 - 1\/4*s**2 + 1\/8*s**4. Determine t so that m(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeqe when four letters picked without replacement from {e: 9, q: 3}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28315 * -714.\nAnswer: 20216910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3))\/(1141\/1467). Which is the closest to -11? (a) 1 (b) 8 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000165009 rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*f - 11 = 8*f, 5*f + 11 = c. Let t be 16\/(-15) + 42\/105. What is the closest to 0 in t, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (14 - (-11 - -31) - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*5\/50*-158. Calculate the highest common divisor of p and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*o - 2593489 = 0, 592*o = 4*b + 594*o - 2074796. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15983, 0 in decreasing order.\nAnswer: 0, -4, -15983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19)\/((3 + 11\/(-3))\/2). Suppose 3*x - 465 - f = 0. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4157 + -4146. Which is the second biggest value? (a) -5 (b) u (c) 2\/13 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 - 115. What is the common denominator of (-1)\/(12\/t) - 62\/12 and 73\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 322227*i**3*k + 8*i**3 + 23308*i**2 with respect to k.\nAnswer: 322227*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**6\/1800 + s**5\/60 - 5*s**4\/24 - 5*s**3\/6 - 25*s. Let b(y) be the second derivative of x(y). Factor b(k).\nAnswer: -(k - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 5*d**2 - 4*d - 4. Give r(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 24. Let g be d(0). Suppose q - 5*q = -2*k + 36, 4 = 4*q. Let i = g + k. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 12:42 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/(6\/(-54)). Let a(b) = -10*b - 3. Let q be a(i). Solve -q + 11 = 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 43 - 40 + 0*f)*(-12 - 5*f**3 + 12).\nAnswer: -15*f**4 - 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**28\/t)\/(t\/(t*t*t**(-1\/12)))*t**27*t**(-32) assuming t is positive.\nAnswer: t**(275\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69479 - 21874. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -26 + 1588. Let u = -382 + 140. Let t = q - u. Calculate the remainder when t is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8743923 and 3294.\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2423*v + 6652*v - 2396*v - 1832*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 10*c**2 + 18*c - 17. Let z = 65 - 72. Let u be a(z). Solve -5*p + 0*h - 25 = -5*h, -u*h + 21 = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3578 rounded to 2 dps?\nAnswer: 2.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 3 - 5 + z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 853 + -852. Is 3\/1357 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*l - 3 = 15, 0 = 2*a + 2*l - 6. Calculate the remainder when 71 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 5:43 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -290625 and -3818?\nAnswer: 1109606250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 16*k. Let h(o) = 11*o + 14. Let b(u) = -4*u - 4. Let t(q) = 14*b(q) + 4*h(q). What is z(t(g))?\nAnswer: -192*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 5*x**4\/3 + 26*x**3\/3 - 12*x**2 + 3*x + 10. Let y(t) be the first derivative of g(t). Factor y(q).\nAnswer: 4*(q + 3)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 2 - 2 + (-j + 3*j - 4*j)*(0*j - 3*j + 2*j) + 5*j + 2*j**2 - 3*j**2 + 0*j to l*j + y*j**2 + x and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*c - 102 = 0, -2*d + 126 = c - 45. Is d a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 25300?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104533 and 7310.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 804 and 84.\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 2)*(-2*v - v + 10*v)*(0 + 6 + 0)*(-15 + 36 + 28) in the form n*v + f and give n.\nAnswer: 4116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3048586 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/45 and 23\/30956.\nAnswer: 1393020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 968 a factor of 136984584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, i: 6, o: 2, u: 6, p: 3}. What is prob of picking 1 u, 1 t, and 1 o?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 4*s**2 - 2*s - 3. Let w be g(3). Suppose w = -3*x + 3*d + 12, x = 4*x + 5*d + 20. Solve x = -2*q - 0*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 - 353*f - 1829. Give r(-112).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-11)*x*x)\/x**(-3\/11))**34 assuming x is positive.\nAnswer: x**(-2890\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gww when three letters picked without replacement from {g: 1, i: 3, t: 3, l: 1, w: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/3275 and 44\/85.\nAnswer: 55675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 25*a**2 - 28*a + 42. Let b be i(26). Sort -5, 2, -4, b in increasing order.\nAnswer: b, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-3 - 0 - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17223955 is divided by 538247.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137863054, -137863057, -137863062, -137863069, -137863078, -137863089?\nAnswer: -137863102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -166 - -159. Let n(u) be the first derivative of u**2 + 9*u - 1. Determine n(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*d = -0*d + 41, 2*d + 14 = 2*h. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**4 - d**4 - 9*d**4 + (234*d - 104*d - 116*d)*(2*d**3 + 4 - 4) to the form c*d**4 + h + s*d + t*d**2 + r*d**3 and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -39, -48, -55, -66, -87, -124?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1056836 by 7.\nAnswer: 1056836\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1248615, 1248585, 1248531, 1248441, 1248303?\n\"Answer: -2*r**3 - 16*r + 1248633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 9*f + 32 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.701 - -0.701. Which is the nearest to -0.34? (a) o (b) -0.3 (c) -0.18 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*t**4 - 9*t**4 - 2*t + 0*t + (-3*t - t + 2*t)*(t**3 - 2 + 2) as k*t**3 + v + a*t + z*t**4 + q*t**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 121102200030 (base 4) in base 13?\nAnswer: 14b161c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -0.1. Suppose -3*z + 3*i = 12, -z + 4*i = 2*z + 15. Which is the closest to o? (a) z (b) -2\/9 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*s = -2*w - 15, -s - 18 = 4*w. Let d be (20\/6)\/(w\/15). Let i(y) = -y**3 - 11*y**2 - 14*y - 9. Is i(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5366414.\nAnswer: 2, 61, 43987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4268628 or 4268635?\nAnswer: 4268628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -213130001132 (base 4) in base 11?\nAnswer: -5921434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134 + 134. Sort 1\/6, 0.3, q, -4 in descending order.\nAnswer: 0.3, 1\/6, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.084 smaller than 1\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + 42 - 479*o - 22 - 1428*o - 20 in the form f*o + g + v*o**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q + 1. Let n be m(4). Let u(i) = i**3 - 6*i**2 - 11*i + 9. Let d be u(8). Let j = d - n. What is the greatest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1367 + -6834\/5. Which is the nearest to 2\/9? (a) 2\/21 (b) r (c) -2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1897*c**4*k**3 - 99*c**4*k - c**2*k**3 + 8*c**2*k - 2493*c - 22*k**3 wrt c?\nAnswer: -45528*c*k**3 - 2376*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -402003 - 21224?\nAnswer: -423232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 373*a**2 + 1078*a + 11835. Calculate g(370).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5216.04 * -1.3.\nAnswer: -6780.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.27 + -0.17. Let x = 1 - h. Let p = -13.7 + 14.1. Which is the nearest to p? (a) 0.5 (b) x (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 110 = -3*r + 3*k, -k + 66 = 3*r. Suppose 0 = 3*f - 138 - 54. Calculate the remainder when f is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -368775 less than or equal to -1106327\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186312 is divided by 1455?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - 4 - 1 - 2 + (-2*o + 6*o - 3*o)*(2 - 6 + 2) - 2 + 2 + o + o - 3*o + 0*o to i + g*o and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2966127 a multiple of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -57. Let s(h) = -72*h + 5. Let y be s(-6). Suppose -f + 4 = -g + 91, -5*g = -3*f - y. Calculate the highest common factor of o and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 4. Let a = 18 + -16. Solve 0 = a*d - d + w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 191*d**2. Let g(n) be the second derivative of -2*n**3\/3 + 289*n. Determine t(g(r)).\nAnswer: 3056*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i - 65*i = -120*i - 676 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + q = 7531, 2994 = 2*m - 9*q + 14*q. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7646.387 millimeters in meters?\nAnswer: 7.646387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*l - 54109*l**3 + 108541*l**3 - 54409*l**3 - 104*l.\nAnswer: 23*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*-212\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (548\/2055)\/(6\/(-15))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32561 is divided by 440.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**6\/120 - p**5\/15 - 5*p**4\/24 - p**3\/3 + p**2. Let k be v(6). Round k to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h**2 + 5*h + 2265. Determine w(20).\nAnswer: -835","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87950299?\nAnswer: 17, 241, 21467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjii when four letters picked without replacement from jijiijjijiiiii.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -345, 4, -1 in decreasing order.\nAnswer: 4, -1, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/289131 + -461742119\/12721764. Let z = d + 143\/4. Sort 2, z, -4 in decreasing order.\nAnswer: 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.1 (b) 6.9 (c) -2 (d) -5 (e) -2\/3 (f) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*i + 10 - 3*i**3 - 10 + 2*i wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 7:22 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/7245792 and 71\/121632?\nAnswer: 50720544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113 + -109. Suppose -x = -z*o, -2*o = 3*x + o. Solve 4*k + x*k = 5*i + 28, -k = -i - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 364300e + 4?\nAnswer: 3643013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f - 1. What is the tens digit of v(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 20*x = -16*x + 286. Suppose 3*c + 2*c = -4*b + 448, -4*c - 412 = -4*b. Calculate the remainder when b is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 20. Let r(o) = 9*o - 7. Let z be r(1). Solve -2*y - h*s = 10, -y - s - 7 + z = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403583.\nAnswer: 3, 67, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 + 88*y**3 - 5556*y**2 + 72792*y - 282366.\nAnswer: 2*(y - 21)*(y - 9)**2*(y + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1527 - 1651. Which is the biggest value? (a) 0.3 (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-20)\/z)\/z*z*(z**(-28)*z)\/z assuming z is positive.\nAnswer: z**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 246, 360, 468, 570, 666, 756?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {g: 2, i: 4, x: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + z - 0*z + 535, 4*k = -5*z + 707. Let u = k - 82. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(343)*-4)**2*-5.\nAnswer: -246960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 7*n + 10 = 0. Is (-12380)\/(-6) + -5*n\/(-75) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 8:33 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 97*j**3 - j + 1. Let c be ((-2)\/(-4))\/((-1)\/(-8)). Suppose 5 - 1 = c*d. Is o(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111930*p + 111930*p + 28*p**3.\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -24*b + 55. Let f(j) = 2*j. Determine f(q(h)).\nAnswer: -48*h + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -41*f**2 - 612822. Let y(l) = l**2. What is x(y(p))?\nAnswer: -41*p**4 - 612822","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m - 43*m**3 + 11*m**3 + 10*m**3 + 21*m**3 - 2 + 6*m**3 to x*m + d*m**2 + l + q*m**3 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*h + 33 = 0, -3*c + 102 - 33 = 3*h. Calculate the highest common divisor of 3294 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-27)*3*1\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-12)*6\/(-2). Suppose -3*j - 4*h - 3 = 0, 4*j = -5*h - 2 - 1. Suppose j*p + p = 4. Which is the nearest to x? (a) 2\/7 (b) p (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1128233\/8 - -140630. Let r = -400 - n. Is -2 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16075*c**3*d**4 - 2*c**3 + 2*c**2*d**4 + 17658*c wrt d?\nAnswer: -64300*c**3*d**3 + 8*c**2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d + 40. Let o(n) = -5. Let b(k) = 24*o(k) + 3*z(k). Let g(f) = -6*f. What is 4*b(p) + 9*g(p)?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(7) - sqrt(252)*-3)*-5.\nAnswer: -100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3926?\nAnswer: 2, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o**2 + 359*o - 76. Give x(-36).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5709*k - 5387*k + 859*k - 1 + 1 to the form c*k + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -2 - (32 + -41).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1200)\/(-45) - 208\/(-39). Solve 3*q = 12, i - 24 = 3*l + 2*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n + 1. Let s(t) = -1 + 5 - 220*t - 3 + 223*t. Let z = 13 + -9. Let w be (4\/(-6))\/(z\/(-30)). Give w*s(u) - 4*p(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(396))**2)*1.\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.0757\nAnswer: 0.03785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/860 and (42735\/(-30))\/37*2\/8.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2229 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -2 + 3 + 0 + 2)*-5.\nAnswer: -15*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -18*t**2 + 31*t + 28. Determine l(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31058 + 2577812\/83. What is the nearest to i in 3\/4, -0.23, -4?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2169806 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2222918 is divided by 67.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115 by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1437697 is divided by 31254?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**5 + 256*f**3*n**2 + 2*f**2*n**2 - 34*f**2*n wrt f.\nAnswer: -60*f**2 + 1536*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171 and 9741?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -30021031332 (base 4) to base 15\nAnswer: -42d3c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-344)\/(-10) + 10\/(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -10. Is -7 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819525075.\nAnswer: 3, 5, 23, 233, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 20, 0.2, -119 in increasing order.\nAnswer: -119, -0.5, 0.2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from {r: 1, x: 1, b: 4, j: 1, c: 3, m: 6}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19396, 38910, 58424?\n\"Answer: 19514*r - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/10, -2\/7, -1\/5.\nAnswer: -2\/7, -1\/5, -1\/10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 97. Let j = 71 + k. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8*q - 17 - 42*q + 2*q**2 - 31 + 59. List the prime factors of x(25).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 50ad05 - 7?\nAnswer: 50acfe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/6)\/((-1)\/(-3)). Let x = -326 - -328. Let s = -2.95 - -7.95. Which is the nearest to x? (a) y (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-385)\/(-6825)*26*25\/(2200\/48).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -2, 16, 4 in descending order.\nAnswer: 16, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -25) + (0 - -7 - 19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -113.96 (c) -0.2 (d) 1\/2 (e) -5 (f) -408\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00133046 to 6 dps.\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-5 - -2) + 3 + -4. Which is smaller: 2\/151 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 5*q - 1 + 120*q + q + 2*q + 0*q + (2*q - 2*q + q)*(3 - 3 - 2).\nAnswer: 116*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*v - 468 = 199*v - 468 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + m**2 - 3*m + 3. Let h be i(-3). Let a be (-3)\/h + 18\/4. Let q = 982 - 975. Solve a*z - 3 - 9 = 3*v, 4*v = -z + q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -164 - -169. Solve -b*c = -3*x - 4 + 6, 3*c = -4*x + 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20393386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -72, 0.1, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -1. Suppose -3*h + 44 - 14 = 3*f, 0 = -h + 4*f - 5. Suppose h*b = c*b. Solve b = -3*q + 4 - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13467, -26070, -38673, -51276, -63879?\n\"Answer: -12603*m - 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/3120 and 17\/708?\nAnswer: 184080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, r: 5, b: 6, v: 1, l: 2, z: 3}. What is prob of picking 1 z and 2 a?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 208 (base 11) to base 4\nAnswer: 3322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-4 - -2 - (21 + -11 + -39))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -21043613 greater than or equal to -21043613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/4)\/((-131)\/(188640\/168))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-14)\/i*i**2\/i*i**(-2\/19)*i*(i**(-14)*i*i)\/i assuming i is positive.\nAnswer: i**(-496\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -146048003 divided by 452161\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 0 - 35\/6*k**3 - 3*k**2 + 7*k. List the prime factors of m(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 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 c(s) = 15*s**3 - 13*s**2 + 7*s + 7. Let t(u) = -8*u**3 + 7*u**2 - 4*u - 4. Let l(h) = -4*c(h) - 7*t(h). Let q(m) = -3*m**3 + 2*m**2. Give -4*l(j) + 6*q(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 o when four letters picked without replacement from eeeoeeeeeooeeeee.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -99*f**2 + 6. Let u(j) be the second derivative of -j**3\/6 + 95*j - 27. Determine u(c(b)).\nAnswer: 99*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 50 + -13 + -51.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*z + 524 + 70 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -10 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r = 5*m + 21*r - 70, r + 24 = 2*m. Let b = -4 + 14. What is the smallest common multiple of m and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26.93393 centuries?\nAnswer: 32320.716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*j - 2*j - 5*y, -2*y = -4. Suppose -27*h = -j*h - 1704. Does 81 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/218 and 109\/56.\nAnswer: 6104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o*o\/o**(1\/8))\/o))*o\/(o*o*o**(3\/2)*o))\/(o\/o**(-5))**41 assuming o is positive.\nAnswer: o**(-1989\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2387729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t. Let m(n) = -1 + 9*n - 2*n - 1 - 2. Let k be m(1). Let r(j) = -k*j + 5*j - j + 0*j. Give o(r(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/5)\/t)**(-2\/3))**(-3\/28))**(-3\/20) assuming t is positive.\nAnswer: t**(3\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(25) + sqrt(25)*-1) - sqrt(25))\/sqrt(5) + -5.\nAnswer: -5 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 1 + -247 + 235.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**3\/6 + 2*r. Let n be z(4). Suppose 16 = 5*f - n. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82570.046 - -114639462.046. Let m = x + -114556894.59999985. Let i = m - -2.6. Round i to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*z - 23, 7*u + 5*z - 19 = 5*u. Is (-3)\/u - 5264446\/(-77) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/8 (b) 23 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1145 times 1604?\nAnswer: 183.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -19*y**6\/30 - 33*y**4\/4 - 366*y**2. What is the second derivative of t(p) wrt p?\nAnswer: -456*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 532282091 to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - x - 5. Suppose 2*r + 4 = 4*q, 5*q = -0*q + 4*r + 2. Suppose -q*a = -4*a. Let y be -1 + a - (-1 + 0). What is b(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 407\/6, 3, 33?\nAnswer: 407\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/55 - (8 + (-516)\/66).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2848 (b) -2 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 14. Let a(k) = -13*k**3 + k**2 - 20*k - 21. Calculate the remainder when a(-1) is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -318.60687 to 1 dp.\nAnswer: -318.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 6. Let i be j(-8). Let g = 23.6 + -28.6. Which is the fourth biggest value? (a) g (b) -1\/11 (c) i (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-80)\/12) - 5\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.927 times -3?\nAnswer: 11.781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9 = 4*a, 2 = -10*x + 11*x - a. Let n be x - -3 - (30 - 30). Solve -2*m - 3 = 2*b - 7, 4 = n*b - 5*m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13.7 and 14416836.\nAnswer: 14416849.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z + 3. Let f(r) be the third derivative of -r**5\/10 + 110*r**2 - r. What is f(q(c))?\nAnswer: -150*c**2 + 180*c - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 42*o**2 - 61*o + 43. Give f(-21).\nAnswer: 1324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31297335 to the power of 1\/2, to the nearest integer?\nAnswer: 5594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (238\/70)\/((-1)\/5). Let t(m) = m + 22. Let i be t(o). Solve r + 3*q - 17 = 0, 15 = -0*r - r + i*q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(1300))*-4)**2*-5 - (-6*((-1*sqrt(1300))**2 + sqrt(1300)) + (sqrt(1300) - ((-5 + sqrt(1300)*-1)**2 - sqrt(1300))))*-4.\nAnswer: 9040*sqrt(13) + 587980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 59*d - 15. Let p(l) = -324*l + 81. Let x(n) = 27*a(n) + 5*p(n). Let u(r) = -r**2. Give x(u(f)).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (sqrt(2420)*1)\/((sqrt(4) + (sqrt(4) - 5*sqrt(4)))*3 - sqrt(4)).\nAnswer: -11*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-929 - -995) + -4 + 1 + -11?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**12\/b)**(-13\/8)\/(b**(-3)*b*b\/((b*b*b**(-2\/33)\/b*b)\/b)) assuming b is positive.\nAnswer: b**(-4207\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b + 149 = 4*r, 3*b = -r + 35. Suppose d + 0*d - 16 = -5*p, -5*p = 3*d - r. Let u = d - -3. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 215 - 219.32. Let r = -3.9 - a. Let d = 0.12 - r. Sort 1\/9, -1\/7, d in increasing order.\nAnswer: d, -1\/7, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2957 + -2953. Which is the third biggest value? (a) -1\/4 (b) h (c) -1 (d) 146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/98307 and 1\/99.\nAnswer: 98307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 18*b**2 - 18*b + 12. Let p be j(17). Let t(m) = -m**3 - 5*m**2 + 2*m + 5. Calculate t(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 8. Let y be k(-11). Let u(h) = -9 - 43*h + y*h + 2 - h**3 + 29*h**2 + 3. Does 36 divide u(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -153017 and -4.844?\nAnswer: 153012.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62570, -62055, -60640, -57875, -53310, -46495, -36980?\nAnswer: -24315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -6*x + 1080. Let y be (-24)\/((-3)\/(-3)*-1). Calculate the highest common factor of y and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*((5 + 1 + sqrt(567) - ((1 + sqrt(567) - sqrt(567)) + -3))**2 + (3 + sqrt(567)*-2 + sqrt(567))**2 + (sqrt(567) - (1 + sqrt(567) + 0))**2).\nAnswer: 270*sqrt(7) + 3623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 594 - 104. Suppose -p = -w - 77. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12011502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 822291 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o + 3. Let d be m(3). Let l be 3 + -1 + 5 + d. What is the units digit of ((-28)\/l)\/(1*-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpf when three letters picked without replacement from {s: 7, b: 3, p: 3, c: 2, f: 5}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -3. Let v = 13 + -13. Let t = 0.7 - 1. What is the third smallest value in z, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32, -3, 2\/17, -0.1, 0.1?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448.6376mg in kilograms?\nAnswer: 0.0004486376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4948734ms to nanoseconds.\nAnswer: 494873.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -956, -3806, -8548, -15176, -23684?\n\"Answer: w**3 - 952*w**2 - w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57904 - -3242529\/56. What is the common denominator of j and 137\/126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/15))\/(q\/q**(-1\/5)))**(1\/18)*(q**0)**43*(q**(-2)\/q)**(2\/45) assuming q is positive.\nAnswer: q**(-37\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 + 2*w**2 - 4*w + 140. Determine v(0).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 97*c. Let n(u) = -7*u**2 - 25*u + 5. Let m(w) = 24*w**2 + 90*w - 18. Let k(y) = -5*m(y) - 18*n(y). Calculate i(k(b)).\nAnswer: 582*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162 + -102. Let k = i + -84. What is the units digit of (-3)\/4 + (-306)\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*d + 258, 2*m + 3*d + 378 = -m. Let b = m + 214. Suppose -5*w + 11*w - b = 0. Calculate the greatest common divisor of 105 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 - -109. Let j(k) = -2*k**3 - 3*k**2 - k + 1. Determine j(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198.7 take away -2?\nAnswer: -196.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 956304.5 years to months.\nAnswer: 11475654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(209))\/(sqrt(396)*-2) - (sqrt(304) + sqrt(304)*-2 + -3)*3)**2.\nAnswer: 213*sqrt(19) + 98695\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1519714 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -31. Let g be 7\/r*120\/2. Solve t - 2*z = -4*t - g, -3*z + 3 = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4308 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773126 is divided by 39.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3809640 divided by 952410?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b + 36. Let n(f) = 7*f + 60. Let i(g) = 5*a(g) - 3*n(g). Let r(p) = 3*p**2 - 80. What is r(i(o))?\nAnswer: 3*o**2 - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43826 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d + 2*d - 5 - 3*d + d**2. Let u be 2\/(-6) - (-28)\/(-6). What is the remainder when 14 is divided by x(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 20. Suppose 1 = -t*m + 5. Solve -3 = m*p + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 1:00 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 18*s + 127. Let d be q(-15). Solve 8*j + d = 66 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**3\/3 - 3*y**2 - 2*y - 5. Give f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1010, -3132, -6364, -10700, -16134, -22660?\n\"Answer: m**3 - 561*m**2 - 446*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 - (-645)\/6. Let k be (-5 + 7)\/(3\/36*2). What is the highest common factor of m and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.56227459 to 1 decimal place.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.51 - -0.21. Which is bigger: -159 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:16 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4064006, 8128016, 12192028, 16256042, 20320058, 24384076?\nAnswer: 28448096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*c + 8 - 20, -4*c + 2*l = -20. Suppose -5*v = 3*y + 32 - 129, 0 = c*y + 2*v - 148. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/22)\/((-8684)\/(-95524))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + -1 + -1 + 7. Find the third derivative of 8*v**4 + 4*v**2 - 4*v**2 + 8*v**q wrt v.\nAnswer: 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 4233213083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/13 (b) -2 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1\/12, -4, 7\/2 in increasing order.\nAnswer: -4, 1\/12, 2, 7\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.5, -2\/7, 64, 5 in descending order.\nAnswer: 64, 5, -1\/6, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-8 - -7)) + -2 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + r + 6. Let w be o(0). List the prime factors of (20\/(-14))\/(w\/(-210)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + (-7 - 18 - 12) - (0 - 50).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(432))\/(sqrt(4) + (-1*sqrt(24) - sqrt(24))\/sqrt(6)).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -974 (base 14) to base 4\nAnswer: -131022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6339, 25391, 57145, 101595, 158735?\n\"Answer: -f**3 + 6357*f**2 - 12*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314798748?\nAnswer: 2, 3, 11, 59, 83, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 14*m**2 + 13*m - 29. Let l be n(-15). Solve -28 = 5*x + 4*i, -l + 7 = -3*i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 22779 = -4*z, 4*z + z + 3*r - 28470 = 0. What is the hundreds digit of z\/35 - 4\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b*c**2*m + 110*b*c**2 + 7*b*c*m - 3*b*c + 3*c**2 - c + 136*m wrt m?\nAnswer: b*c**2 + 7*b*c + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -105 or -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 14*m + 16. Let g be s(12). Let h = 11 + g. Let r be ((-3)\/(-6))\/(h\/30). Solve 0*x = -r*x + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 68 = -t. Let x be t*(-2)\/12 - 5\/(-30). Suppose w + 266 = 3*j, x*w + 112 + 146 = 3*j. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3684\/1842 + 42\/12*2\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001935 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4810 or -1?\nAnswer: -4810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 y when three letters picked without replacement from yyhy?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 12*w**3\/13 - 98*w**2\/13 + 16*w - 32\/13 = 0.\nAnswer: 1\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 37. Calculate the smallest common multiple of 4 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 435668558 = 113083267. Let a = p + -27583613. Round a to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -1 (c) -108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(3*sqrt(8)) + -3 + sqrt(12)\/sqrt(4))**2.\nAnswer: -8*sqrt(3) + 43\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from sspssssssepssssss.\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {g: 2, p: 3, b: 3, z: 5}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 + j**2 + 0*j**2)*(1 + 0 + 1 + 0 + 1 + 1 + (3 + 0 - 1)*(0 - 2 + 0) + 4 - 3 - 3 - 3 - 1 + 2 - 572 - 541 - 32) to m*j**2 + w + k*j and give m.\nAnswer: -1149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 28 - 9 = 0. Suppose -4*m + p = -0*m + 18, p = 5*m + 23. Put s, -3, m in decreasing order.\nAnswer: s, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 32\/5 of a kilogram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/4 - 3930321*s\/4 - 3930327\/2.\nAnswer: 3*(s - 1310109)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**6\/20 - 7*f**5\/20 + f**4\/4 - 3587*f**3\/3 + 486*f**2 + 2. What is the derivative of i(r) wrt r?\nAnswer: -18*r**2 - 42*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a century in decades?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**2\/7 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (232\/72)\/((-3)\/(-9)) + (13 - 22)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 not equal to -0.091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21119)\/(-63) + 2\/(-9). Let u = 659 - r. Suppose u = -3*i + 6*i. Calculate the greatest common factor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = -3*b, -j = -10 + 12. Solve -8*f - 63 + 23 = b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 19*p + 24. Let s be k(18). Let f be (-1290)\/(-900) - s\/10. Find x such that -3\/2*x**3 + 7\/6*x**5 + 1\/3*x - f*x**4 + 0 + 5\/6*x**2 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-32))\/((-45)\/10 - 24\/(-9))?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**3 - 6*h + 5. Let f be q(1). Solve -8 = 13*l - 11*l + 2*y, -10 = 2*l + f*y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-19 - (6 + -54))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h + 42. Let j be c(-7). Is j smaller than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 387, 389, 391?\n\"Answer: 2*y + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(256) - (-2*sqrt(256) + sqrt(256))).\nAnswer: sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.05, -4, -246?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/17 + 26419568*z\/17 + 87249196663328\/17.\nAnswer: 2*(z + 6604892)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + 2*o - 2*o)*(-3 - 3 + 1) - o + 0 + 0 + (-1 - 1 + 3)*(0*o + 4*o - 3*o) + 3*o - 5*o - 2*o in the form w + f*o and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d + 6*d + 5*d - 2)*(2*d**2 + d**2 - 4*d**2) + 0*d**3 - 5*d**3 + 0*d**3.\nAnswer: -8*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsvrsfvsvrqfrqss. Give prob of picking 1 q and 1 v.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95*s**2 + 205 wrt s.\nAnswer: 190*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1448747887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14079 - -14078.99993865. Round l to 6 dps.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100937 take away 1324454?\nAnswer: -1425391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11433311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*j**3 + 144\/5*j - 36\/5*j**2 - 192\/5 = 0. Calculate j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -142183, -142182, -142181, -142180?\n\"Answer: m - 142184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - f = 4, 5 = 2*t - 4*f - 5. Let l be (t - 5)*(-10)\/8. Let y be 2 - (-5)\/(10\/(-4)). Solve y*o = -d + l*o - 2, o - 4 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(605) - (1*sqrt(605))**2) + sqrt(605) + (sqrt(605) + 0)**2*-5 - (-3 + (sqrt(605) - 2*sqrt(605)*6)))*-3.\nAnswer: -594*sqrt(5) + 19956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 31*r**3 + 2*r - 1. Let q be a(1). Let x = q - 11. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 14 + 0 + (-1 + 1 + 3)*(-1 + 1 + 3))*(-3*g + 2*g + 3*g).\nAnswer: 60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61\/40 - -547\/280. Put -1, 3, 0.155, 0.1, q in ascending order.\nAnswer: -1, 0.1, 0.155, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -6 + 1 + (-1 - -1 - -4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/1767 + (-306)\/(-62)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50236 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000641757597 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ininniiinnnniiiiinin. Give prob of picking 1 i and 2 n.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -20*b - 1. Let y(t) = 69*t + 4. Let v(x) = 3*j(x) + y(x). Let l(z) = 4*z + 1. What is -5*l(d) + 3*v(d)?\nAnswer: 7*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, s: 2}. Give prob of picking 2 p.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {i: 1, y: 6, v: 1, t: 2, h: 2, o: 6}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + -41. Let j be 64\/k - 6*2\/(-28). Solve 2 = -4*f - 2*x, -3*f + j*x + 0*x = 21 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-2) - 657\/270*-2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 16*p**3 - 16*p + 10. Let z(v) = -39*v + 15*v + 3 + 5*v**3 + 19*v. Let c(l) = 3*q(l) - 10*z(l). Factor c(a).\nAnswer: -2*a*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 7. Let l(f) = -f**3 + 8*f**2 + 3*f - 7. Is 17 a factor of l(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(432) + (sqrt(432)*-2 + sqrt(432))*-1 + 4 + ((sqrt(432) + 0)*2 + 0 + (-1 + sqrt(432) - sqrt(432)))**2)*5.\nAnswer: -120*sqrt(3) + 8675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 - -82. Suppose 0 = 5*o - 3*t - 130, w = -5*o + t + 154. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/15*5643\/(-171).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 less than 0.001?\nAnswer: -8.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43719789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7976 + 7974. Let v(u) = u**3 + 6*u**2 + 3*u + 14. Let c be v(-6). Let w be 1 + (-1 - -1) - 6. What is the nearest to w in q, -4\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 2*o**2 - 69*o + 263. Determine q(6).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**5 - 5*z**5 + 4*z**5 - 3*z**5 + 5*z**5 - 3*z**5 + (-2*z**4 + z**2 - z**2)*(2*z - 3*z + 3*z) + z**4 + z**5 - z**4 - 2*z**5 + 4*z**5 - 3*z**5.\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182.438 + -182. Let z = v + 0.146. Let f = -0.6 + z. Round f to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (12 + 2 - (5 - (-8 + -8)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 4*b = c + 4988, 4*b = c - 988. Let d be c\/(-6)*9\/(-2). Round d to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -744*b**3 - 8*b + 9*b - 11 - 3*b + 15 - 503*b**2 - 6 wrt b?\nAnswer: -4464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523561 is divided by 523540?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 222\/25? (a) 0 (b) -1\/2 (c) 2\/7 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40555 - -40558. Factor -57*l - 39\/7*l**2 - 1\/7*l**p - 361\/7.\nAnswer: -(l + 1)*(l + 19)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 18*g**2 - 5*g + 19. Let k be q(-18). Suppose -k = -5*j + 456. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2066*f + 4578*f - 2296*f to u*f + k and give u.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from skkmkkmmkkskkkmss.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3525768)\/36)\/((-4)\/(-16)*-6)?\nAnswer: 2, 3, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**3 - 87358*l**2 + 957281910*l - 73193674554 = 0.\nAnswer: 77, 21801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 1 - 1)*(i**3 - 4 + 4) - 2*i**4 + 6*i**4 - 3*i**4 + (-2*i**2 - i**2 + i**2)*(-5*i**2 + 2*i**2 + 5*i**2) + 0*i**4 + 4*i**4 - 3*i**4.\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3.87. Let z = b + -0.41. Let n = z + 0.2766. What is n rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3314819 (base 10) to base 9.\nAnswer: -6212062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from vyfvvvvfvvufyfv?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 970705527616.\nAnswer: -970705527617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12121140 (base 5) to base 15\nAnswer: -23b4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 649 and 1062.\nAnswer: 11682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 + 6*x - 3. Let s be o(-4). Let k be (s + (7 - -2))\/(1 + 1). Let u = -119\/8 + k. Sort -1, -0.7, u in decreasing order.\nAnswer: u, -0.7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(135))\/sqrt(3) + sqrt(45))\/(6*sqrt(1089)).\nAnswer: sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*f - 884 = 0, -2*x - f + 365 = 2*f. Let t be x\/14 + 6\/21. Let y = 16\/353 - -289\/1412. Put 4, t, y in decreasing order.\nAnswer: t, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.33524ns to milliseconds.\nAnswer: 0.00000033524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7453651 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/((-213)\/(-78) + 20\/(-8))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89 - 17 + 45)*(-3 - 2*g + 3).\nAnswer: -234*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/12)\/(2\/(-6)). Let l = p + 5. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 - 2*v**2 + 2*v**3 + (-v + v + 2*v)*(-89*v**2 - 32*v**2 - 67*v**2) - 7*v**2 - 3*v**3 + 7*v**2 to the form k*v**2 + y*v**3 + m + w*v and give y.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 4*k = 11, 3*x + 11 = x + 5*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 7. Let r = -16 - -22. What is the third derivative of h**2 + 7*h**r - 3*h**f - 3*h**6 wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 5, o: 2}. What is prob of picking 1 z and 2 o?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*n**3 + 14*n**2 + 5*n**3 - 2*n**3 + 4*n.\nAnswer: 2*n*(n + 1)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -12, -28, -50, -78, -112, -152?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {c: 1, b: 1, h: 9, d: 4, g: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -3174261?\nAnswer: -3174261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**3 + 14*c**3 + 18*c**3 + 13*c**3 - 65*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -15800 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.001 + -8.099. Which is the nearest to -1? (a) -1 (b) -4 (c) l (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 - 20*p)*(0 + 5 - 3) + 3*p - 2*p - 2*p - p + 1 - 1 + (4 - 6 + 4)*(-2*p - 2*p + 3*p) - 6*p + 4*p + 3*p + (-5*p + p + 2*p)*(14 + 4 + 9).\nAnswer: -97*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1260 - -2433. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x**6 - 10*x**2 + 4*x. Let f(i) = 27*i**6 + 31*i**2 - 11*i. Let o(r) = -4*f(r) - 11*p(r). Find the third derivative of o(v) wrt v.\nAnswer: -1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9660*o**2*q**4 - o**2*q**2 + 2*o**2 - o*q + 5434 wrt q.\nAnswer: -115920*o**2*q**2 - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84052.\nAnswer: 2, 21013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {o: 4, u: 1, i: 1, k: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -292 - -294. Suppose y*m + 3 = -5*c, 4*c = -4*m - 54 + 18. Let o(x) = x**2 - 3*x + 1. Let d be o(4). Put d, 2, -4, m in descending order.\nAnswer: d, 2, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138 + 137.999941. What is f rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -20*i**3 - 287*i**2 + 7*i + 706. Let b(j) = 14*j**3 + 192*j**2 - 5*j - 471. Let y(o) = 7*b(o) + 5*l(o). What is the derivative of y(g) wrt g?\nAnswer: -6*g**2 - 182*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) + (sqrt(3600)*2 + sqrt(3600) - sqrt(3600) - sqrt(3600)) - sqrt(250)\/(sqrt(40) - sqrt(10)))\/(1*sqrt(180)*-2))**2 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3879 rounded to two decimal places?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.25 - 30969.\nAnswer: -30967.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 606772 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 43*k**2 - 144*k - 468.\nAnswer: -(k - 39)*(k - 6)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*v + 3*v - 5735, -4*m + v + 4588 = 0. What is the greatest common divisor of m and 925?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(104 - 100 + 149)*(-z - 3 + 3) to the form v*z + h and give v.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -41004323 (base 5) to base 15\nAnswer: -675e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 1378 = 1383 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.002, -2\/5, 5173, 4\/3?\nAnswer: 5173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68359 + -0.03?\nAnswer: 68358.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19039 - -14?\nAnswer: 19053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -112, -251, -444, -691, -992, -1347?\nAnswer: -1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -177 - -70 - 23 - -77?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5881 (b) -50 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -45. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1312109014 + -3.\nAnswer: -1312109017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**7\/105 + 4*k**6\/75 + 2*k**5\/25 - k**4\/15 - k**3\/3 - 2*k**2\/5 - 199*k. Suppose z(u) = 0. Calculate u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/17 - 3950824*u\/17 - 1951126284872\/17 = 0.\nAnswer: -987706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36*3006\/6680*(-5)\/3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/5))\/o*o**(7\/4))**(10\/3) assuming o is positive.\nAnswer: o**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(234\/52))\/((-2)\/3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(11 + h**3 - 11 + 3 + 3*h**2).\nAnswer: 3*h**3 + 9*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-50)\/675*(-11)\/((-11)\/2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oguzokuxogku. Give prob of sequence xk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/6*(-20)\/(-35)*195\/3380?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 3*r**2 - 31*r - 9. Let q be o(-7). Solve s + s - q = -2*v, 10 = v + 5*s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/17 - 554*f\/17 + 7860\/17 = 0.\nAnswer: 15, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6653 = -8177*j - 1114*j - 2638 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-99)\/(-88)))\/((-2)\/(-6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 10 - -6) + -6 + 26 + -63?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -11, 9, -2, -3, -0.2 in decreasing order.\nAnswer: 9, 4\/7, -0.2, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 - 2 - 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/56 and ((-8)\/(-50))\/((306\/945)\/(-17)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196151283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - v - 1. Let q(a) = -16*a - 19*a + 30*a - 4*a**2 - 3*a**2 - 35. Let c(x) = -4*o(x) + q(x). Give c(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -4 (b) -1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -229, -2, -96 in ascending order.\nAnswer: -229, -96, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*n - 347, -1352 = -4*z - n + 3*n. What are the prime factors of z?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r - 4. Let u(o) = 5 + 3*o + o - 9*o. What is 2*u(a) + 3*z(a)?\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 909*v**2 + 67473*v - 210681.\nAnswer: 3*(v - 3)*(v + 153)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3*l - 624 = 0. Let c = -92 + l. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 1. Let x be g(-1). Let c(j) be the first derivative of j**3 - j**2 + 2*j - 4. Is 10 a factor of c(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-296)\/(-21) + (596\/(-84) - (-9 + 2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f - 6760 = 15*f. What is the highest common divisor of 312 and f?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -8*o - 1. Let t be o*(2 - 0)*8\/(-1). What are the prime factors of 1092\/t - 3\/12?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3357*f + 6698*f - 3344*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 9:37 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {j: 5, h: 3, z: 7, e: 1}.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - -1671?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273320, -274024, -275940, -279674, -285832?\nAnswer: -295020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/2 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 234 = 5*a - 217, -5*a = -2*c + 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3735 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)\/b)**26\/(b\/(b\/(b\/(b**3\/b)))*b*(b*b\/(b*(b*b**(-5))\/b))\/b) assuming b is positive.\nAnswer: b**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18310 - -28395. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (0 - 0) - (-5 + 4). Solve 3*l + f*l = u - 9, -5*l = u + 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111120100211021 + -1?\nAnswer: -2111120100211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.878 - -0.022. Let i = c + -4.9. Sort 2\/23, i, -2\/3 in decreasing order.\nAnswer: 2\/23, -2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m**(-3\/5)*m))*m**(-2\/7))\/((m\/m**(-4))\/m)**(-25) assuming m is positive.\nAnswer: m**(3539\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 227373?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 c when four letters picked without replacement from bqqvbcccvbbqqcc.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -3*o - 36, 4*n = 346*o - 349*o + 12 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) -2 (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)\/((r*r*r**(-1\/8)*r)\/r*r))\/(r*r**(-6)*r*r*r*r\/r**(-3\/4)))**(2\/109) assuming r is positive.\nAnswer: r**(-55\/1308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 92856.\nAnswer: 2321400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 4*s - 4*s. Let q(r) = 8*r - 11. Suppose -4*l + 5*j - j = 52, 3*l = -2*j - 29. Let w(x) = -3*x + 4. Let p(h) = l*w(h) - 4*q(h). What is p(u(n))?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-10)\/15) - 1. Suppose -x*w + 164 - 40 = 0. Suppose w = -q - q. Which is smaller: q or -30?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 13 = -3*b + 121, -106*w - b - 3*b + 176 = -110*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b**2. Let u(c) = -7*c + 20*c - 11*c. Give u(r(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(405)*-3)**2 + ((3*sqrt(405)*2)**2 - sqrt(405)).\nAnswer: -9*sqrt(5) + 18225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -240*o + 247*o - 3*g - 518, 5*o - 3*g - 370 = -0*o for o.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - h + 2. Let j(r) be the first derivative of 2*r**3\/3 + r**2\/2 - r + 171. Suppose 24 = -197*n + 203*n. What is n*k(l) + 5*j(l)?\nAnswer: 2*l**2 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 3*w + 0*y = 4*y + 14, -713*w = -1981*w + 5*y - 2526 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2921*h**3 - 17*h*k + 33369*k with respect to h.\nAnswer: 8763*h**2 - 17*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*1\/(-1) + -1090. Let l be 0 + w\/15 - 4\/20. Let a = -36 - l. Calculate the highest common divisor of 148 and a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 92279 and 369121\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3016\/7 + -432. Let f be (-12)\/(-14)*15\/(-30). Which is the second smallest value? (a) f (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/7, 0, 0.0523, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211103 (base 6) to base 2.\nAnswer: 1111100100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*l + 13*l - l.\nAnswer: 47*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10242 + -31?\nAnswer: 10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 712 divided by -5\nAnswer: -712\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in -8\/29, -5, -58?\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 u when four letters picked without replacement from {y: 6, u: 12}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 - 60562*w - 484512.\nAnswer: (w - 242256)*(w + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgi when three letters picked without replacement from {i: 1, f: 1, c: 1, b: 1, g: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 19. Suppose -4*g + 4*k + 188 = 0, -4*g - h*k + 53 = -135. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 19. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 1. Let p(d) be the third derivative of d**5\/20 + 5*d**4\/24 + 5*d**3\/6 + 59*d**2. Calculate p(j) + 5*s(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13562*s + 6777*s + 6789*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((2\/(-2))\/2 + -1)*-2. Let l(r) = -2*r**2 - 6*r + 6*r - t*r**2. Let s(z) = 101*z - 198*z + 98*z. Calculate s(l(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 2*a. Let c = a + -5. Does c = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 2. Let w be h(-17). Suppose w*a - 36 - 952 = 0. 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: Calculate (2 - 171)\/(-13)*1 + -39.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -98*d**2 - 7*d - d**4 + 98*d**2 + (6*d**2 + d - d)*(-d**2 + d**2 + 1 + 5*d**2 - d) in the form u*d**3 + t*d**2 + f + b*d + k*d**4 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((28\/(-84))\/((-2)\/46))\/1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -146, -264?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 12404. Let j(o) = 5*o**2. Calculate l(j(n)).\nAnswer: 15*n**2 + 12404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 2080\/9 and 230 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 9) + (-4 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t**2. Let n(z) = -z + 285. Determine n(r(h)).\nAnswer: -9*h**2 + 285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 - 1. Let d = -8.3 - -8. Let z = d - -0.31. Is z greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 + 116*p\/5 + 1344\/5.\nAnswer: 2*(p + 16)*(p + 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 j when three letters picked without replacement from {j: 2, l: 1, v: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 + 72. Do -16 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, -1, 6, -6, 4 in ascending order.\nAnswer: -12, -6, -5, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -177*o + 251. Let i(x) = -130*x + 167. Let g(j) = 7*i(j) - 5*y(j). Let q(d) = 2*d**2. Calculate g(q(n)).\nAnswer: -50*n**2 - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 2*p**5\/35 - 24*p**4\/7 + 250*p**3\/7 - 956*p**2\/7 + 1560*p\/7 + 5999. What is r in q(r) = 0?\nAnswer: 2, 5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 47708.89 nanometers?\nAnswer: 47.70889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + 0 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*g - 8. Let n be 6\/(-9)*g\/2. Let i = 0.341 + 0.059. What is the closest to 1 in n, 0, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 o, and 1 d when four letters picked without replacement from {v: 5, o: 1, m: 2, c: 3, d: 1, x: 1}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(26) - 1*sqrt(2600)) + ((sqrt(156)*2)\/sqrt(6) - sqrt(26)))\/(sqrt(14)\/(2*(sqrt(112) - sqrt(7)))).\nAnswer: -48*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*a, -p + 5*a + 843 = -99. Suppose 3*z + z = p. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22976*y - 22980*y = -4*o + 8, 25*y - 70 = -5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 873 and 2046.\nAnswer: 595386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 0\/(1 + 4). Suppose -4*r - 3*t + 3 = 0, 21 = -2*r + t + 2*t. Is r greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 312802 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 727629.7 litres to millilitres.\nAnswer: 727629700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/10)*k*k*k*k)\/(k\/(k*k**(-2\/11))*k)*(k**(-2))**26 assuming k is positive.\nAnswer: k**(-5421\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u. Let n(q) = 1. Let h(z) = -m(z) - n(z). Suppose -23*a = -20*a - 21. Let p(s) = 4*s - 3. What is a*h(c) - 2*p(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 - -6.01. Let q = -16 + 12. Let n = w + q. Is 1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 9:11 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-222)*(-48870)\/20 + -4 + 2190\/555?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 + 151?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 + 84. Suppose 4*r + 2*k - b = 0, -2*r + 0*k = 4*k - 28. Solve 0 = r*w - 4*s + 20, -5*w + 4*s - 20 = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -778 + 1333. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313015260 a multiple of 502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477212 - 720*q**3 + 477212.\nAnswer: -720*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by 344?\nAnswer: -57\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 10 + 2 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 5*c**2 + 4*c. Let p be i(-4). Suppose 5*q - 270 = -p*q. Suppose a = -a + q. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(2\/5)\/b)\/b)\/b*b*b**(-1\/2))\/(b**(1\/2))**(-12\/5))**(16\/7) assuming b is positive.\nAnswer: b**(-72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 7*a**2 - a**2 + (0*a + a - 2*a)*(-2*a + 4*a - 3*a) + a**2 - 2*a**2 + 0*a**2)*(3*a**2 + 2*a**2 - 3*a**2).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 17. Let s(g) = -3*g - 2. What are the prime factors of s(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -149737*q + 449210. Give n(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = 306 + 894. Suppose 12*w = -u + 12. Is 30 a factor of ((-45)\/w)\/(1908\/(-320) - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/228 and 17\/4?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -606.\nAnswer: -6\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142461 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1888\/104 + -33 - (2 - 17).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1239 + -1238.5. Which is the biggest value? (a) 8 (b) x (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 + (-3 + 12)*(-9)\/(-27). What is the hundreds digit of (-1*31)\/(p\/(1260\/(-7)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u - 81. Let v(r) = -2*r - 72. Let z(m) = 5*p(m) - 6*v(m). Determine z(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 420181900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4100340451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7804818 nanograms in kilograms?\nAnswer: 0.0000000000007804818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 200122 (base 3) to base 5\nAnswer: 4003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 + -317. Let k = -461.00000442 - a. What is k rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvrvwwwrvvvwv. Give prob of picking 3 w and 1 r.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from eatbi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.54959 weeks in hours?\nAnswer: 764.33112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/(15\/(-6)). Let n = 46 + -79\/2. Let y = n - 5. What is the second smallest value in y, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 2*t**2 + 11. Let p be f(0). Suppose -i + 2*h = -p, -14*i + 11*i + 19 = h. Let w(l) = -l**2 + 3*l - 7. What is w(i)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a - 2 + 2*a - 8*a**2 + 7*a**2 - 2. Let x be s(4). Suppose -11 = -x*n + 25. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -25603.4\nAnswer: 5120.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-185)\/(-15) + -12)\/((-44)\/24).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 56 + 35. Solve 5*y - u = -5*v + 3, -3*y + 3*v = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -4. Let w be (21\/28)\/(450\/(-120)). Put 5\/3, z, -5, w in decreasing order.\nAnswer: 5\/3, w, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -51?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 r, and 1 y when three letters picked without replacement from rreyrqers.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**3 - 180*m**2 + 49*m + 270. Is h(46) a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 9*b**2 + 3*b - 402. Give r(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 101202 (base 3) to base 12\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*q - 186*q + 27 = -s, 0 = s - 3*q + 17 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*w**3 + 19126*w**4 - 38257*w**4 - w**2 + 12 + 19132*w**4 in the form r*w**3 + b*w**2 + v + y*w + d*w**4 and give r.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -11*v**2. Let b(s) = 33*s**2 - 9*s - 72. Let a(k) = -17*k**2 + 4*k + 32. Let x(q) = -9*a(q) - 4*b(q). Give x(g(j)).\nAnswer: 2541*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 12*j + 7. Calculate the lowest common multiple of 2 and o(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -948?\nAnswer: -47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 41462275.\nAnswer: -41462277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 102, 38, -48, -162, -310, -498, -732?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35756 is divided by 694.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22\/99 - (-50)\/18\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (7 - 7 - 60) - (6 + 2 + -5).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 9*y = -105. Let j = 36 + y. Let z(t) = -t**3 - 309*t**2 + 2203*t - 2840. Let s be z(-316). Solve 5*i - g + 1 = j, s*i - 13 = -g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/5 - 2 - 4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 12 = -2*c - j, 5*j = c - 15. Solve r + 0*a = 4*a + 13, 0 = -r + c*a + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 6*a**2 + 5*a. Let n be m(5). Suppose 15*v - 10*v - 10 = n. Solve 4 = v*f - 3*t, -3*f - 4*t - 11 = -0*t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.021 and 0.0664466.\nAnswer: 0.0013953786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -72.820394537.\nAnswer: -67.820394537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8*c = -10*c + 8, 3*c = -4*m + 6. Sort m, -7, 1, 2 in decreasing order.\nAnswer: m, 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 5. Suppose 2*p - 26 = 7*p - 2*z, -4*p - 4 = 4*z. Put x, p, -1\/2 in increasing order.\nAnswer: p, -1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232418549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 8*a**2 - 9*a + 2. Let m be d(9). Find i such that -8*i**2 + 3*i**3 + m*i**5 + 10*i**4 + 2*i**3 - 16*i + 7*i**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6 (base 14) to base 5.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005 minus -2073596355?\nAnswer: 2073596355.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-19))\/(-1 + 2). Sort -1, v, 5, 2 in decreasing order.\nAnswer: 5, 2, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - (1 - (6 + -4))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 s when four letters picked without replacement from {s: 12, u: 7}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -4, 5, 24.\nAnswer: -4, 3, 4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16010087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 19 + 13 = 0. Let a(j) = 2*j + j**2 + 2 + 4*j**2 - 4*j**2 + 4*j. What is the remainder when a(-7) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1089.91 - -1057. Round l to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 2 (c) -23 (d) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 0 - 1 - -1. Let l = x - -4. Suppose -a - 84 = -l*a. What is the remainder when a is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606*o + 611*o + 28205 + 611*o - 1829*o.\nAnswer: -o + 28205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-131)\/393 + 11\/24 + (-2)\/16. Let y(a) = -a**2 - 2*a - 27. Give y(u).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 3.02\nAnswer: -12.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3674 - -6068. Calculate the remainder when f is divided by 134.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4529415 = -a - 3*o - 4529472, -5*o + 92 = -2*a for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 463, 1823, 4091, 7267, 11351, 16343?\n\"Answer: 454*d**2 - 2*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2. Let z(a) be the third derivative of a**5\/30 - 9*a**2. Give p(z(s)).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -107, 2 in ascending order.\nAnswer: -107, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.2, -225, -16, 5, 7, 0.22 in ascending order.\nAnswer: -225, -16, 0.2, 0.22, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 99*a + 314. Determine l(102).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -392 (base 10) to base 12\nAnswer: -288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 260 = 12*p + 15*h, 0 = -p - 2*h - 15 - 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -853431 from 29.\nAnswer: 853460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 27, 4\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 8*v**2 - 15*v - 52. Let m be h(-9). Suppose -16 = -o - m*w, 4*o - w - 33 = -5. Calculate the highest common factor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/1 - (-60045)\/18. Let n = 3346 - z. Calculate the common denominator of 11\/8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + sqrt(294)\/sqrt(7))\/sqrt(2) + sqrt(21))\/sqrt(3) - (sqrt(175) + 3 - -1*sqrt(7)*-4).\nAnswer: -3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/((-6831)\/(-22)))\/(-20*3\/(-27))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3458 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (627\/24871)\/((-5)\/(-350)*5)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5*s + 11*s + 2 - 2.\nAnswer: 6*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -43*m + 85. Let s = 24 + -13. Calculate the remainder when y(0) is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 389110 and 10?\nAnswer: 389110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -150, -236, -324, -414, -506?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48791 and 117199.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**4 + 117*l**3 + 1215*l**2 - 2025*l - 60750 = 0.\nAnswer: -15, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -9 + 16. Let o be (-382)\/w + 10\/(350\/15). Suppose -4*a + o = -9*a. Sort 1\/2, 5, a.\nAnswer: a, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9001*t - 15*t**5 - 11*t**5 - 7*t**5 + 2*t**2 + 8036*t - 31*t**6 - 4*t**5 wrt t?\nAnswer: -3720*t**3 - 2220*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*f + 49*f. Solve f = 5*v + 5, -c - 3*v - 15 = 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -115, -200, -311, -454, -635, -860?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -70744 divided by -408?\nAnswer: 8843\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 2*l - 3*l)*(3 + 0 + 4)*(-1 + 3 + 0) + 2 - 2 + l to g*l + x and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 82529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 337663485209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/10314 and -109\/4202.\nAnswer: 113454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 5*y**2 + 4*y - 5. Suppose 3*k + 13 = 142. Calculate the remainder when k is divided by l(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Suppose 0 = 3*x - 6*x - 6. Put x, 3, h in ascending order.\nAnswer: x, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o. Let r = -1432 + 1437. Let c = 0.1 + -2.1. What is the nearest to o in -0.3, r, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10282 + 10299 - (1 - -41).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-620)\/(-36) - 0\/1. Let t = 17 - w. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388996?\nAnswer: 2, 79, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2. Let s(m) = -5*m. Let a(b) = -4*b. Let l(y) = 3*a(y) - 2*s(y). Determine z(l(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8 = -3*p + 7*f, 17 = 5*p - 3*f. Suppose -1 = -d + 5. Let v be 8\/((-64)\/8) - (-8)\/d. Which is the second smallest value? (a) 0 (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9496474 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -278.38095 and 1369.\nAnswer: 1090.61905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0971 - -0.0071. Let b = 0.1 - 0.2. What is the third smallest value in b, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93412.4um to meters.\nAnswer: 0.0934124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-620)\/372)\/(2*2\/24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 23*d = 3*d. Suppose 2*h - 12 = -h, 4*z - 3*h = d. Solve 2*f - 20 = -z*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 0.0125625?\nAnswer: -0.3874375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -0.27 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.54 - -24.6. What is the biggest value in 8, y, 3\/7, -1\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 2\/9 (b) -1 (c) -1\/13396\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (15 - 5) - (1 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m - 36. Let s(d) = -5*d + 35. Let a(x) = 3*f(x) + 4*s(x). Let o be a(5). Suppose 5*k = o + 23. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**5\/5 + f**4\/6 - f**3\/3 + 2*f**2 + 3448*f. Let b(o) = -13*o**3 + 7*o**2 - 7*o + 13. Determine -2*b(x) + 7*j(x).\nAnswer: -2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*w - 413 - 652, -5*w - 543 = 2*y. Let p = 221 - y. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3317*o + 4324 = -763*o - 3338 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2135*i + 1133863. Give g(-531).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/13, -2\/517, 0.5, -439\/20?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4024 to two decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16518626417 - 16518626417 - 12*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*m + 146*m - 43*m - 45*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, n: 2, s: 11}. Give prob of sequence ssee.\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12031 is divided by 1717.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**2 + 716*o\/5 + 96\/5.\nAnswer: -2*(o - 24)*(15*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/7)\/(n\/(n**(-4)*n*n*n)))\/(n**(-1)\/n)**(-5\/9)*n**(-2\/3)*n*n**(-4)*n\/(n**(-1)\/n)*(n*n**(4\/9)\/n*n*n*n*n*n)\/n*n assuming n is positive.\nAnswer: n**(23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 1:28 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 7. Let x = 115281\/10 + -11539. Calculate the common denominator of x and ((-2)\/(-12))\/(l\/(-131)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1093 + 1097.77. What is g rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(2*-13)\/2. Let t = p + 18. Let w be (t\/6)\/((-3)\/9). Solve -w = y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*u + 2, 3*u + 2*i - 2 + 18 = 0. Let z(t) = -16814*t**3 - t**2 - t + 4. Let g be z(u). Let x = 1576088 - g. Round x to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*i + 2320 = -40394. Let q = -589 - i. What is the greatest common divisor of 707 and q?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21089.6 to the nearest one hundred.\nAnswer: 21100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.36062nm to meters.\nAnswer: 0.00000007636062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 88\/2 + (-2)\/1. Let g = i - 21. Calculate the smallest common multiple of (-2*(-18)\/20)\/(11 - 1026\/95) and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 12 + 5*d**2 - 6*d - 2*d**2 - 2*d. Let j be y(-6). Let f = -120 + j. Calculate the remainder when f is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4203*t + 991906. What is y(236)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 1 - 2\/(6\/(-3))*(102 + -79).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 1300ed?\nAnswer: -130102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-156)\/(-7))\/(-105*(-24)\/(-8820)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 57*f**4 - 438*f**3 + 3387*f**2 - 4974*f. Let b(h) = 12*h**4 - 88*h**3 + 678*h**2 - 995*h. Let v(p) = 24*b(p) - 5*o(p). Factor v(u).\nAnswer: 3*u*(u - 5)*(u - 2)*(u + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12168724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 8*t**2 - 2*t + 11*t - 3 - 5*t = 0 for t.\nAnswer: 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.293 and 323377.\nAnswer: 323376.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -32*f**2 - 9*f + 11. Let l(i) = -16*i**2 - 4*i + 5. Let n(k) = -13*l(k) + 6*p(k). Does 5 divide n(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-96)\/(-18))\/(-8))\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-35)*((-9)\/60)\/(((-1296)\/140)\/(-27)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 923\/5 + (-1 - 1). Let s be (23916\/81)\/(15\/(-9)). Let x = m + s. Find the common denominator of 30\/11 and x.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3731 - 3727.1848. Let a = l - 4.15. Let h = a - -0.34. What is h rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.088 + 0.1269. What is s rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10693, 0, -5, 2, 4.\nAnswer: -5, 0, 2, 4, 10693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36043183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -67*z**3 - 8*z**2 - 4*z + 10. Let j(n) = -68*n**3 - 7*n**2 - 3*n + 8. What is -4*j(i) + 3*q(i)?\nAnswer: 71*i**3 + 4*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 0*o**2 + 3*o + 3*o**2 - 1 - 4*o**2 + 3*o**2. Suppose -m + 2*x + 5 = 0, 5*m = 3*x + 4 + 14. Determine r(m).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 1\/2*z**2 - 4*z - 25 + 1\/3*z**3. Let m be a(-3). Solve -m*o = 8 - 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighty-one quarters of a decade?\nAnswer: 2430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p - 7. Let l(r) = r**2 + 29. Calculate the remainder when l(0) is divided by n(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1009467867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 5 = -5*v, 5*v - 127*b = -122*b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3264872 to 4 decimal places.\nAnswer: -0.3265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 363 + -356. Suppose 5*o + 7 = k, k - o + 4 = s. Solve 4*u - 24 = -6*g + 2*g, -k*u = 4*g - 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 3445\/3, 0.58?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.073 to 0 dps.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*y + 22, -2*y = -5*y + 3. Suppose 0 = d + 1, -4*d + 10 - 39 = -a*f. Let l be 12*((-24)\/64)\/(6\/(-4)). Solve l*b = 10 + f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/42*(0 - -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, a: 2, e: 2, h: 1}. What is prob of picking 1 h, 1 x, and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010786 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**3*r**4 - 29*j**3*r - 5*j**3 - 175*j*r**5 wrt r?\nAnswer: 24*j**3*r**2 - 3500*j*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131206505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**4\/4 - n**3\/3 - n**2\/2 + 3*n - 1. Is 12 a factor of r(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t**3 + 3*t**2 + 5. Let v(r) be the second derivative of 13*r**5\/20 + r**4\/3 + 7*r**2\/2 - 3*r. Determine -7*k(p) + 5*v(p).\nAnswer: 2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -130*l**2 + 1. Let c(y) = 3*y**2 + 12. Let b(g) = 3*g**2 + 16. Let r(d) = 3*b(d) - 4*c(d). What is r(n(o))?\nAnswer: -50700*o**4 + 780*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aww when three letters picked without replacement from {x: 1, w: 4, a: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1281*l**3 + 1326*l**2 wrt l.\nAnswer: 7686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + 3376*s**2 - 3404*s**2 - 18*s to the form m*s**2 + n*s + f and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Suppose 2*i = -3*j + 4, -q*j + 0*i - 2*i + 4 = 0. Is j less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*w**2 - 42 + 42 as g*w**2 + h*w + m and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 418576777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**5\/270 + 8*x**4\/27 - 20*x**3\/9 - 93*x**2. What is c in k(c) = 0?\nAnswer: 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5 = 2*u - 9, -3*f = 3*u - 15. Let p(r) = -r**3 + 5*r**2 + 7*r - 2. Let a be p(u). Suppose 2*x + 3 = 5*x, 4*c - a*x - 44 = 0. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.7 - 6. Let x = -155\/486 - -553\/972. Which is the second smallest value? (a) x (b) 0 (c) 1\/10 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7212 - -7194. Which is smaller: 2\/269 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -3\/4, 5\/2, 39, -6, -12?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*-6*(-4 + sqrt(17)).\nAnswer: -360 + 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayyayy. Give prob of picking 3 y and 1 a.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2938994*-0.2.\nAnswer: -587798.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.33 from -971.\nAnswer: -971.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684587?\nAnswer: 684587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2416, -3642, -5694, -8578, -12300?\n\"Answer: -s**3 - 407*s**2 + 2*s - 2010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2 + 28*p - 4*p - 4*p. Let o(q) = -2*q**2. Give b(o(x)).\nAnswer: -40*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3.157716kg?\nAnswer: 0.003157716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*q + 3*q. Solve z = q*z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*r + 20*r - 13565202 = 0. What are the prime factors of r?\nAnswer: 3, 7, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 - 10*n**2 - 4*n - 1. Let z be m(-3). Factor -10\/9*d**3 - 4\/9*d + 14\/9*d**z + 0.\nAnswer: -2*d*(d - 1)*(5*d - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -816, 2 in ascending order.\nAnswer: -816, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqmqqqqq. What is prob of sequence qq?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1611, -13022, -43995, -104310, -203747, -352086, -559107?\nAnswer: -834590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-98)\/7)\/(-7)*(-253)\/209*-38\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3 + 1817*c**2 + 2 + 751*c**2 - 520*c**2 + 2760*c wrt c?\nAnswer: -6*c + 4096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, 0, -4 in ascending order.\nAnswer: -94, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*28\/49 + 0\/2. Factor 0*g - 2\/13*g**5 + 8\/13*g**2 + 0*g**3 + 0 - 6\/13*g**v.\nAnswer: -2*g**2*(g - 1)*(g + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3174 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = -25*p + 5*p + 560. Let k be (1\/(-4))\/(13\/(-104)). What is the greatest common divisor of p and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 3*m - 20 + 0*m - 8.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 1. Let i(a) = a + 2. Calculate 4*c(k) - 3*i(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.047, 2, 4?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/77)\/((-360)\/(-2310))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -65*g**2 - 4*g - 4. Let l(u) = -3577*u**2 - 219*u - 219. Calculate -4*l(c) + 219*y(c).\nAnswer: 73*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567828 is divided by 7011.\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -155 divided by -31\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 4264*d**2 + 38743*d + 1222078.\nAnswer: -(d - 22)*(d + 13)*(d + 4273)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-56)\/(-21))\/(-2*(-2)\/2694)?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12033 - 111?\nAnswer: 11322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1146.7? (a) -3\/17 (b) 0.2 (c) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 188 = -q - 4*k, -529 = -3*q - k. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**9\/k*k)**(-11)\/(k*(k\/(k\/(k*k\/(k*k\/(k*k**(-8)\/k)))))\/k*(k**31\/k)\/k) assuming k is positive.\nAnswer: k**(-131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 26*p - 28. Let i be q(1). Let k be 21\/6 + 5\/(-10). Let c(g) = 6*g**k - 3 - g**3 - 4*g**3 - 4*g. What is c(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*w - 1 + 24 = 0, 3*p = 4*w + 77. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, k: 14}. What is prob of picking 4 k?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51458.39 kilograms to grams.\nAnswer: 51458390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -484400 divided by -865\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -701, -698, -695, -692, -689?\n\"Answer: 3*u - 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/14 - (-120)\/(-105).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*26\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63952465 to the power of 1\/3, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 1. Let y(f) be the first derivative of 2*f**3\/3 - f**2 - 5*f + 1. Let a(l) = -25*l**2 + 4171*l + 663. Let z be a(167). Give z*j(c) + y(c).\nAnswer: -3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4400906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 572 + -571. Which is the second smallest value? (a) 1\/4 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-3))\/(4\/(12\/(-1))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11165 is divided by 93.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*l + 2. Let i(v) = v**3 + 6*v**2 - 10*v - 10. Let n be i(l). Let f = n + -11. Solve 6*b - b = f, 4*q + 2*b + 8 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88957087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30098505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 - (9 + -17 + -860). Suppose y = 14*z - 596. What is the remainder when 207 is divided by z?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25784?\nAnswer: 2, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**4\/3 - 14*s**3\/3 + 20*s**2 + s + 29. Find k, given that j(k) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1241032143 - 2?\nAnswer: -1241032200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141176\/3 + 47059. Let c = 0 - -1. Let j = -1 + c. What is the second smallest value in v, -1\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 280.27 - 282. Round t to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1505 - 0?\nAnswer: -1505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 6) in base 3?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(152))\/sqrt(8) - 6*(2 + sqrt(19)))**2.\nAnswer: 192*sqrt(19) + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -492, -491, -490, -489, -488?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15446749 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(2*k**2 + 3*k**2 - 4*k**2) + 3*k**2 + k**2 - 3*k**2 + k**2 - k**2 + 2*k**2 + (4*k + 2*k - 4*k)*(4*k - 6*k + 3*k).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50569203?\nAnswer: 3, 17, 19, 23, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/15 (b) -0.2 (c) 4\/5 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3)*-2)\/(4\/(-30)). Let p(g) = g**2 + g. Let f be p(0). Solve f = -x + 6*x - y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5521*i + 5523*i = 30 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 282791 to the power of 1\/2, to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8576239.11 rounded to the nearest one thousand?\nAnswer: -8576000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 23*v. Let g(m) = 4*m. Let u(l) = -6*f(l) + 34*g(l). Give u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2*-8)\/(129\/43))\/((-14)\/(-21))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = r. What is the remainder when 6 is divided by (r\/126 - 4\/(-14))*6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39486597691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 7:03 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n - 1. Let p be g(-1). Let o(u) = 6*u + 3. Let v be o(-1). Let x be 1\/(v*12\/(-9)). Which is the nearest to x? (a) 2\/9 (b) p (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00078 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.048225g?\nAnswer: 6048225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 268589128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 19 + -30 - -63 - -2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/10 and -49\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/86 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1684 is divided by 212?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -149\/2*l + 2*l**4 - 91\/2*l**3 - 219\/2*l**2 - 25\/2 = 0. What is l?\nAnswer: -1, -1\/4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 674.425 microseconds in milliseconds?\nAnswer: 0.674425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**2 - 4*c - 3. Let n be z(-2). Calculate the greatest common factor of 132 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121 + -123221?\nAnswer: -123342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1594, 3169, 4744?\nAnswer: 6319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -u + 4 + 7, -25 = -5*p - 5*u. Suppose 2*v + b = 35, p*b = 3*b + 15. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*d**2 - d**2 - 2*d**2)*(4*d - 7*d - 36*d) + 2*d - 2*d + 4*d**3 as o*d**3 + f*d**2 + q*d + b and give o.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -958*g*n**6 - g*n**3 + 4755*g - 4*n**4 - n**2 + 2*n wrt n.\nAnswer: -114960*g*n**3 - 6*g - 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -66. Calculate the remainder when x is divided by 60\/(-48)*8\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1052565 and 181326.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 99*q**2 - 22*q + 87. Let r(b) = -7*b - 6. Let k be r(-8). What is the hundreds digit of f(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-10)*(-12)\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32315461?\nAnswer: 47, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -115505 (base 8) to base 4\nAnswer: -21231011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szswzzzzwnnn. Give prob of picking 2 n.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.532166+-34\nAnswer: -34.532166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -j + 2*i - 28, 2*j + 84 = -2*i. What is j rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 9:34 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 4*k + 10, 25 = -5*k - 165*w + 170*w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15242*n + 476139 = -971851 for n.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 + 3*c**2 - 3*c**2 + (0*c + c + 0*c)*(-6*c - c + 3*c)*(-10 - 23 - 23)*(-1 - 2*c - c + 2).\nAnswer: -669*c**3 + 224*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*v + 131 = 0, -4*v + 298 = -q + 4*q. What is the remainder when q is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by 66\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -25*c + 18*c + 11*c + 26. Let r be v(-7). Sort -1, r, 4, -3.\nAnswer: -3, r, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 6. Let j be 1204004\/l - (-2)\/7. Round j to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10 = -4*j, -5*z - 3*j - 14 = 0. Which is the third smallest value? (a) -1 (b) -1\/6 (c) 5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 0.1366363033244.\nAnswer: 6.8633636966756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 14 = -44. Solve -2*m + 5*a + 44 = 11, z = -3*a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 138*o - 1512. Calculate k(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - m + 2. Let s(t) = -11*t**2 - 7*t + 1446. Calculate -5*a(g) + s(g).\nAnswer: -g**2 - 2*g + 1436","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 579 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -1 + b**3 + 3 + 0*b**3 + 0 + 3*b. Find the first derivative of t(f) wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:26 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**4 - 19*l**4 + 183*l**2 + 8063*l - 8063*l wrt l?\nAnswer: -528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3339, -3322, -3271, -3168, -2995?\nAnswer: -2734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 271597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(60)\/(sqrt(12)*3 + sqrt(12)))**2 - (sqrt(125) + -1 - sqrt(125))).\nAnswer: 69\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 13*q**2 - 9*q + 12. Let d be v(7). What is the fourth smallest value in d, -1, 0.1, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 528\/(-27)*(-9)\/220*55.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/8*((-15)\/(-2))\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85.28 - -0.28. Let q = 84 + t. What is the fourth biggest value in 0.4, q, 13, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -120*v + 8. Let t(c) = -c + 2. Determine 3*k(u) - 12*t(u).\nAnswer: -348*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**3 - 2*p**2. Let j be u(-2). Suppose 12 = -6*g + 3*g, g + j = 5*l. Suppose 0 = -l*h + 1 + 27. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30837*1.6\nAnswer: 49339.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93453.2633604144 + 93453.25. Let w = g - 307.9865165856. Let p = -308 - w. Round p to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75338802 and 1232.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**4\/6 - 582*d**2 + 2. Let m(k) = -2*k - 19 - k + 19. What is m(n(x))?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311 + 1335*g + 626 - 315.\nAnswer: 1335*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 519510 and 63380220?\nAnswer: 63380220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/64 of a milligram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -1 (c) -5 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1785)\/(-119))\/(2\/(36\/15))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048666692?\nAnswer: 2, 3, 17, 23, 53, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4392 + -2516. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (0 - (-9 + 31)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/733536 and -29\/2264.\nAnswer: 733536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w - 7. Let o be t(-8). Let g = -48 - o. Let h be (-8)\/(-28)*(6 - g). Solve -h = v + v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**4\/2 + 2441427*y**3\/2 + 36621855*y**2\/2 + 183110025*y\/2 + 152592000 = 0.\nAnswer: -5, 813824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*s**5 - s**4 + 779*s**3 - 49938*s**2 wrt s.\nAnswer: 420*s**2 - 24*s + 4674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/((-6)\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1392761 is divided by 66321.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/852148 and -13\/1629.\nAnswer: 7669332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 665 - -831. Suppose l - n - x = 4*n, 3*n = 5*l - 7436. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5.04. Let u = 0.05 + j. Let t = -0.11 + u. What is the biggest value in t, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 9*k - 6*k - 69634 = 0, 4*l - 278451 = 5*k. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4 = -2*i, 0 = 10*k - 39*i + 37*i - 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/33*(-6534)\/891?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 14 + 11. Suppose 4*i + 5*l = 86, -o*l + 0*l = 3*i - 62. Suppose 3*z - i - 54 = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132\/(-144) - 3\/9\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 6, -13 = -5*h - 115*x + 116*x. Sort -5, 78, -3, 0, h in increasing order.\nAnswer: -5, -3, 0, h, 78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -184 - -186. What is the closest to -3 in -0.1, p, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 + (-135)\/15)*2\/10. Solve -p + 2 = v, 0*s + 5*p - 4 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - 0. Let j = 8.9 + r. Let b = -0.1 - j. What is the closest to b in 1, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 5*i**2 + 4*i + 2. Let b be f(-4). Suppose -2 + 22 = b*h. What is the least common multiple of h and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 928 and 185?\nAnswer: 171680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 223275580 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27711579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1109, -2255, -3433, -4643, -5885?\n\"Answer: -16*l**2 - 1098*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1283 and 55927253.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2133 (b) -29.5 (c) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -12*j**3 - 1108*j**2 - 6480*j + 4816 = 0.\nAnswer: -86, -7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19980 and 11100?\nAnswer: 99900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2770 and 93072.\nAnswer: 465360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 3*x + 5*d, 3*x + 3*d - 1664 = -1700 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1593 - 22*n + 1593.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 1:06 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/18 + 10)*(-54)\/10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/60*-3*1*-2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h - 4. What is the smallest common multiple of 2 and m(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14771 - 265787\/18. Calculate the common denominator of -46\/27 and o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*(sqrt(75) + (sqrt(75) - 3*sqrt(75)) + -3)*-5)**2 + -2.\nAnswer: 3500*sqrt(3) + 8723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 5:34 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201544898?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -7, -4, 3 in ascending order.\nAnswer: -7, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 5. Is h(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:39 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffff. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-47158)*-511*(-16)\/(-14).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 676 = -2*w, -u + 2*u = 2*w + 169. Suppose u + 2821 = 23*f. What are the prime factors of f?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.0121, -1\/5, 4?\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 31142\nAnswer: -31141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48843*l**2 + 2*l**3 - 48843*l**2 + 2546 to the form m*l + s*l**3 + d + q*l**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*d + 370 - 370 + (-5 + 1 + 3)*(d + 2 - 2) + 4 - 2*d - 4 + d - d + 2*d + 0 + 0 + d + (0 + 1 + 0)*(0*d + 3*d - 5*d) as f*d + n and give f.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4a2 (base 11) to base 5\nAnswer: 4341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 162907434303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - v + 32. Suppose h - 2*h = -v. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63306346.\nAnswer: 2, 31653173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 41 = -50. Suppose 5*p = h + 7. Suppose t - 2*t - 10 = -3*w, -18 = -t - p*w. Solve -4*m + 15 = -t*m + 5*z, 4*m - z + 3 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1321, -1312, -1303?\nAnswer: -1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 42. Let m(c) be the second derivative of 4\/21*c**3 - 5\/42*c**4 + 0 - 1\/7*c**o + 2*c + 1\/35*c**5. Factor m(b).\nAnswer: 2*(b - 1)**2*(2*b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 2*a + 17. Suppose -x = -2*x. Let g be z(x). Let j = -3 - -88. What is the greatest common factor of g and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {u: 1, m: 1, i: 9, p: 2, y: 7}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7697 - 70747\/9. Let p = 164 + l. Sort p, 1, 0 in increasing order.\nAnswer: 0, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 66677.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 4*q + 3. Let a(d) = 1. Let g(t) = 3*a(t) + h(t). Let l be g(-4). Let p = l - 1. Solve -3*v - 3*u = -9, -5*v = -3*v + p*u - 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73144 and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from biqifiifr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6813327 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(588) + (sqrt(588) + sqrt(588)*-1)*4)\/(sqrt(4) + sqrt(144) - 5*sqrt(36)))**2.\nAnswer: 147\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31192 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**3 + 19700*v**2 + 6656136*v - 6675840 = 0.\nAnswer: -4560, -366, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 34143 (b) -0.1 (c) 24 (d) -3 (e) -1 (f) 0 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 28. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 8*r. Solve 0*c - 2*c + 3*b - 10 = 0, r = -3*b + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*j - 10 = -2*j, 4*j = 4*v - 8. Let t = -975 + 975. Put t, -3, 4, v in ascending order.\nAnswer: -3, v, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.308, -1, 2\/5, 1, 0.3 in descending order.\nAnswer: 1, 2\/5, 0.308, 0.3, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3*b + 11 = 0, 0*r - 4 = -4*r - 4*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2972*t**2 - 994*t**2 + 0 - 993*t**2 - 992*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/54)\/((-4)\/12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.22 - -0.2. Let r = j + -0.38. Let v = -0.08 - 0.22. Which is the nearest to 1? (a) 0.2 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13548685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (40\/16 + -2)*4390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -186.02 + 1406.09. Round r to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32303.\nAnswer: 32303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**17*i*i\/(i\/i**17)*i*i*i assuming i is positive.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 4213456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3. Let t(c) be the third derivative of c**4\/24 + 7*c**3\/6 + 2*c**2. Suppose 18*u + 56 = 26*u. Calculate u*h(z) - 3*t(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -43069 less than -43068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21263193?\nAnswer: 3, 7, 337511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyz when three letters picked without replacement from {z: 5, y: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -243 + 242.99999306. Round o to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22515 and 948?\nAnswer: 90060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*i - 4, -3*r + 4 = 2*i - 0*i. Solve -i*m + 4 = -3*q, 12 = -28*q + 25*q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqq. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - (-484)\/(-22))\/(2\/(-26))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -803*s - 71. Calculate the remainder when o(-1) is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 131 - 45. Let l = 43 + k. Suppose 4*d = l + 119. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 4 (c) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ataaaaaaaat?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)\/(sqrt(7) - sqrt(70)\/sqrt(40) - sqrt(7)) - sqrt(56)\/(1*sqrt(2))*2)**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - 2*c)*(-c**2 - c**2 + 0*c**2) + 20*c**3 - 155*c**3 + 20*c**3.\nAnswer: -111*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -21. Suppose -q - 4 = 0, -4*h - 156 = -r*q + 28. Round h to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppupzzuyztz. Give prob of picking 3 p and 1 t.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3004 times -3?\nAnswer: -9012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -437 - -442. Which is the second biggest value? (a) x (b) -8 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f**5\/19 + 34126*f**4\/19 + 139670*f**3\/19 + 111230*f**2\/19 - 2846*f\/19 - 8556\/19 = 0 for f.\nAnswer: -3, -1, -1\/3, 1\/4, 1426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.4 - 9. Let d be ((-2)\/6)\/((-6)\/18). Let b be (-4 + 5)*(d + -2). Sort i, b, -3.\nAnswer: -3, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 891.9468 centuries in months?\nAnswer: 1070336.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.157 - -0.343. Let f = 0 - 0. Which is the second smallest value? (a) 0.05 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51642142 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564442699.\nAnswer: 31, 61, 421, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 1. Let z be p(1). Let j be 1*25*(2 - 1). Solve z*y + j = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiijiijiiiijji. What is prob of picking 1 i and 3 j?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/24)\/(1\/(-6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -13. Let w(a) = 4*a**3 - 6*a**2 + 18*a + 13. Let j(d) = -d**3 + 2*d**2 - 6*d - 4. Let r(x) = -7*j(x) - 2*w(x). List the prime factors of r(n).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 + 198*i**2 - 195*i - 108. What is d(98)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -6 + (21 - 3 - (2 - -4))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12024902 (base 10) in base 16?\nAnswer: b77c46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 51.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -152 - -149.1. Let r = -1.8 - 0.7. Let b = y - r. Sort b, 2\/7, 2\/15 in increasing order.\nAnswer: b, 2\/15, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3625880 divided by -5.\nAnswer: -725176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -15. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -127 + 147.1. Let o = i - 20. Let p = 154 + -153.99. Which is the second smallest value? (a) -0.3 (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - -5 - 58 - (-2 - (-2 + 13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(((-3)\/(-3))\/((-2)\/(-2)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 11. Calculate g(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -17*s**2 - 2*s + 26 + 7*s**2 + 8*s - 22*s**2. What is the units digit of k(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214 - 52*n + 214 - 438*n.\nAnswer: -490*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = 6*u + 2058. Suppose -q - y + 337 = -2*y, -5*y = 2*q - 667. Let g be (-8)\/(-14) - q\/u. Solve 2*x - 3*x + 4 = 0, -32 = -g*i - 5*x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 f, and 1 u when three letters picked without replacement from jufjhffuuhfffeuuhu?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3842957 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)*z)\/(z**29*z*z))**(6\/23) assuming z is positive.\nAnswer: z**(-216\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -3, 5, -41.\nAnswer: -41, -3, 0.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90344 divided by -4?\nAnswer: -22586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115\/46*(-4)\/25 + (-2290)\/25.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 0.1 (c) 0.2 (d) -233442\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2772933?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1489*j**2 - 2980*j**2 + 1493*j**2. Let w(d) be the third derivative of 23*d**5\/60 + d**2. What is w(m(o))?\nAnswer: 92*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**2 + 24652*m - 221544 = 0.\nAnswer: 9, 6154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 273107521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 17*z - 74. Let h be w(21). Solve -3*f + 14 = -5*c - h, 0 = f - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6 - 12\/(-315)*10. Let r = 0.38 + 0.12. Let j = 1.1 - 1.26. Sort r, c, j in increasing order.\nAnswer: c, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-264)\/(-154))\/(16\/(-8))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238 + -251 - (-1 + -46).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 17*q = 4*j - 53, 5*q + 48 = 3*j. Let a = -18 + 42. Calculate the remainder when 2082\/a - (-3)\/12 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -12\/23, -4 in decreasing order.\nAnswer: 0.2, -12\/23, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 5*k - 31, -169 + 159 = -4*y + 2*k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 696 - 698. Suppose 75 = z + 4*z. Differentiate -z*g**4 - n + 44*g**4 - 16 with respect to g.\nAnswer: 116*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - (sqrt(90)*-3 + sqrt(90)))*-2*-4)\/(-1*sqrt(245) - sqrt(15)\/(3*sqrt(3))).\nAnswer: -108*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 16 - 22)*(a + 3 - 3 + 2).\nAnswer: -14*a - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + 1.6. Let t = -27 + 23. What is the closest to 1\/4 in i, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/60*26*1*3. Suppose -3 = 5*t - j. Let f = 13 - 1. Solve -t*l - 2*l = -f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8166, -32636, -73442, -130584?\n\"Answer: -8168*i**2 + 34*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 223*t**2 - 2*t - 1. Let j be g(-1). Suppose 0 = -5*q - 20, -6*d + 2*d + 2*q + j = 0. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + 74*u - 138. Let o be g(35). Which is the third smallest value? (a) -2\/11 (b) -1\/6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 4) to base 3.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:01 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51470210, -51470211, -51470212?\nAnswer: -51470213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 + 2*i**5 + i**4 + (5*i + 4*i + 3*i)*(4*i**3 + i**3 - 3*i**3)*(65 + 21*i - 146*i - 65).\nAnswer: -2998*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 90*z**3 - 474835*z**2 + 1871540*z + 105440 = 0.\nAnswer: -1\/18, 4, 5272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9317, 9342, 9383, 9440, 9513, 9602?\n\"Answer: 8*u**2 + u + 9308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1736 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 - d. Let z be h(1). Let s be (-10)\/(-10)*(-16)\/z. Is (0 + -4)\/(s\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -181. Which is smaller: -1\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**2. Let h(y) = -2*y**2 + 3*y + 3. Let u(q) = -4 + 8 + 4*q - 2*q**2 + 0*q. Let d(x) = -4*h(x) + 3*u(x). What is l(d(j))?\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 7 = -5*t. Let y be (2 - 1)\/((-1)\/t). Is y\/12 + (-125)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 7*w**4\/24 + w**3\/2 - 4765*w**2 + 2. Let f(v) = v. Let b be f(-1). Let u(h) = -h. Give b*q(i) - 6*u(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1907287.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580 + 2884 = 6*w. Suppose 2*c + 2*c + w = 0. Find the common denominator of -47\/16 and (-4)\/5*1116\/c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4389*a**2 - 66*a + 282. Let j(n) = 4390*n**2 - 88*n + 279. Let y(k) = -4*b(k) + 3*j(k). Differentiate y(u) with respect to u.\nAnswer: -8772*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 6*o - 1\/4*o**3 - 11\/4*o**2 = 0.\nAnswer: -8, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 139842204 and 18312.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccwciig. Give prob of picking 1 i and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1217 + -3695\/3. Let z = o - -15. Let m = -61.1 + 61.1. Which is the third biggest value? (a) m (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/143)\/((-360)\/(-440))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.204, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*a - 203 = 0, y - 3*y = 4*a - 406. Suppose 6*o + 83 = y. Let m(c) = c**2 + 2*c. What is the least common multiple of m(-4) and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -130 + 433?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -549475*526\nAnswer: -289023850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121396 = 94*y - 153*y + 1079*y + 344*y for y.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5995204?\nAnswer: 2, 1498801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 17, e: 2}. Give prob of picking 3 a.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 - (-995)\/(7 + -6).\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1957 + 15205. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22419 at least as big as 14439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbxszsy. What is prob of picking 1 r and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12a - 2?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 199, 197, 183, 151, 95, 9, -113?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 698 + 319. Suppose c = 5*r + 4*v, -6*r + 11*r = -v + 1023. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 662*c**6 - 2388*c**2.\nAnswer: 79440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-2)*12\/180*18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-6 - -2) + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 + 13 + 1 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44774*b**4 + 257151 with respect to b.\nAnswer: -179096*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, -1, -8, -15?\n\"Answer: -7*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 1\/2 (c) -44 (d) 0.13 (e) 0.16 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 2:30 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + 3*v**2 + 3*v. Let d(u) = -u**3 + u**2 - 1. Let o(w) = -12*w**3 + 16*w**2 + 14*w - 2. Let c(z) = 2*d(z) - o(z). What is -6*c(x) - 28*f(x)?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -33 (c) -295 (d) 1\/6 (e) 0.2 (f) -0.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.64 - -6.56. Let b = 9.1 - k. Let f = -0.06 - -2.06. Is f smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.224015 rounded to 3 dps?\nAnswer: -0.224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10899126 a multiple of 1001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (-156 - 3))\/(-6)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 10:41 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in months?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u**2 - 4*u - 13. Let w be p(-2). Suppose -3*o - w*y + 24*y + 18940 = 0, -3*y + 31562 = 5*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -932769 divided by -1737?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3840862 greater than -3840865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1394430 and 3718480?\nAnswer: 11155440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1330272 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 6:13 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -402028*24.\nAnswer: -9648672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-170)\/(-6) - (-5)\/90*-6. Find the third derivative of g - 30*j**4 - 91*j**6 + 20 + 30*j**4 + j**2 wrt j.\nAnswer: -10920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8337 (base 16) in base 12?\nAnswer: 17533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29117471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 2, u: 3, z: 1}. Give prob of picking 1 u, 1 z, and 2 o.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.054634mg in tonnes?\nAnswer: 0.000000003054634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155 + -153. Find the second derivative of -b - 80*b**h + 71*b**2 + 6 + 12*b wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/6 + (-71 + 72)*(-4 - 85\/(-25))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 6*i + 10. Let t be b(-7). Solve -3*m = -0*q + q - 12, -2*q + t*m - 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -761 - -764. Solve k*o = 9*o + 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89877 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 321 = -a + c, -5*a + 798 = 2*c. Let j(o) = 31*o + 1. Let s be j(-1). Let z = a + s. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - 10001010100?\nAnswer: -10001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 7 + 53. Suppose -2*v + t = -63, -5*v - 3*t = 80 - 265. Calculate the remainder when v is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**4\/2 + g**3 + g**2. Let l be z(6). Suppose -4*p + l = -p. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18184239*n**3 - 11575886*n?\nAnswer: -109105434*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2057 - 8?\nAnswer: -2064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 5 (b) -0.2 (c) -0.1 (d) 14\/311 (e) -1\/15 (f) -2 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p + 43. Let r(j) = 6*j**2 + 100*j - 30. Let f be r(-17). Suppose 5 = f*s - p. Solve -s - 3 = 5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -35\/16, -1\/27, -3091, -2\/17?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(11) + (sqrt(11) - (sqrt(11) + 2)*-1)))**2 - (-2 + (sqrt(11) - sqrt(11)*2)**2) - ((sqrt(176) - sqrt(11))*-1 + -3).\nAnswer: 11*sqrt(11) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4*p*p**(-1\/20))**(2\/37)*(p**(5\/2)*p*p**(-3\/10)*p)\/(p**(6\/7)*p*p*p**(-8)*p) assuming p is positive.\nAnswer: p**(22301\/2590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.842 + -0.742. Let b = 0.3 - 0.316. Let g = k + b. What is g rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 45 = -5*j + 10, 16 = -4*h + 2*j. Let b(n) = -8*n + 6. Calculate the remainder when b(h) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-48)\/44 - (-1288)\/(-253). What is the nearest to 3 in z, -1, -7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*l + 3 - 19, 20 = 5*l. Let z be s\/(2\/(-186008)) + -4. What is z rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 - 0.2. Let l = u + -0.3. Round l to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeexexeeeeeeeeeeee. Give prob of picking 1 e and 1 x.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -8 + 3 - -6. Let h(w) = -w**3 + 7*w**2 - 5*w - 2. Let a be h(6). Let p be (6\/18)\/((-2)\/(-6)). Solve -a*k + y = -p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.4 - 3.1. Let x = 0.7 + 1.3. Which is the second biggest value? (a) l (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + 489.93.\nAnswer: 496.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -346 + 918?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/2)*w\/(w**(-5)\/w)*(w*w*w\/w**(2\/3))**(-15)*(w\/(w*w**(-2\/5)*w*w))**(-33)\/(w*w\/w**0)**9 assuming w is positive.\nAnswer: w**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 5 = 15. Let h be 1\/(-1 + (-2)\/(-3)). Which is the third biggest value? (a) -2\/9 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5324*z - 755982. Determine t(-142).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + -27. Let u = 38 - y. What is the biggest value in u, -4, 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -23670*f + 213101. Calculate y(9).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*x + 6445*b - 6447*b, 0 = 5*x - 2*b + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2643 - 14057 = 439*f for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 382916 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 619, 1240, 1861, 2482, 3103, 3724?\n\"Answer: 621*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 40 + 80. Is 17 a factor of f\/(-15)*(-498)\/4 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 12 = 2*b. Let v(x) be the second derivative of 7*x**3\/6 - 5*x**2 + 10*x. Let l be v(3). Solve -5*r = -2*t + l - 44, -3*t - b*r + 3 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 318 and 795.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -7)*1\/(-6). Let l = 359.6 - 360. Let h = -5 + 8. Which is the nearest to -1? (a) h (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 180 = y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 168*s + 42*s**2 - 130327 - 2*s**3 + 5*s**3 + 130519 = 0.\nAnswer: -8, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2120341 or -14842383\/7?\nAnswer: -2120341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 91\/(-14) + 5 + 2. Let n(d) be the first derivative of 0*d + 5 - s*d**2. Let p(w) = 11*w**2. Give n(p(y)).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(17)*-1*2 - (1*sqrt(17) + 3) - (-2*-1*sqrt(170))\/sqrt(10))*5)**2.\nAnswer: 600*sqrt(17) + 10769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*p + 7*p = -5, -3*p = 4*n + 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 2\/(764\/386). Suppose -373 - 424 = 52*p - 745. Is v < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - t**3 + (-4*t**2 - 3*t**2 + 3*t**2)*(5*t - 2*t - t) - 8057*t**3 - 9*t - 15*t - 2499*t**3 + 24*t.\nAnswer: -10565*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32871\/50 + -656. Calculate the common denominator of d and ((-6)\/(-8))\/(8441\/(-2024) - -4).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((-67)\/268)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2 - 44964594*y + 168484559465403 = 0. Calculate y.\nAnswer: 7494099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 76, 175, 348, 619, 1012, 1551?\nAnswer: 2260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g - 11 + 13*g + 8.\nAnswer: -9*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 91 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25692172?\nAnswer: 2, 11, 109, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324505 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l + 7. Let q be h(0). Which is greater: q or 6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -423739 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1925 (b) -0.09 (c) 108\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 47*u**2 - 5)*(2*u - 1 + 1)*(3*u - 5*u + 3*u)*(-2*u + u - 2*u).\nAnswer: -282*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1151 + 1151 + 2665*n**4 + (0*n**2 + 0*n**2 - n**4)*(2 - 5 + 2) - n + 2*n**4 + n to the form r*n + d*n**3 + y*n**2 + s*n**4 + b and give s.\nAnswer: 2668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4060586857 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 631636 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 14*f + 9. Let k be b(-10). Suppose -3*g + 5*t + k = 0, 0*g - g + 2*t + 15 = 0. Calculate the highest common divisor of 207 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10*p**2 + 12*p. Let k(l) = -5*l**2 - 4*l**2 + 5*l**2 + 5*l + 0*l**2. Let v(n) = 5*g(n) - 12*k(n). Let o(u) = -122*u**2 - 1. Calculate o(v(h)).\nAnswer: -488*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-6 - 0) + 19 + 3 + 3\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 5*m - 1. Let x be u(-3). Let y = -10 + x. Let t(r) = -r - 4. Let k be t(0). Sort y, k, 4 in decreasing order.\nAnswer: 4, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50382 and 702.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.89 - 0.99. Which is the closest to -1? (a) -47 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 293633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*u - 11, 3*u + 0*u = 2*l + 8. Suppose 0 = -u*t + 4*t - 6. Differentiate 4*i**3 - 3*i**t + 3*i**4 - 6 - i**3 with respect to i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 177*m - 2578. Give q(11).\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*r - 9, -5*r = -10*r. Suppose -3*o = -4*a + 147, -a - 5*o + 107 = 3*a. What is the highest common divisor of a and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 190644*t - 190642.\nAnswer: -2*(t + 1)*(t + 95321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = o - 35. Let t be 42\/(-8) + 15\/o. Put t, 5, 0 in descending order.\nAnswer: 5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 464, 677, 892, 1109, 1328, 1549?\n\"Answer: k**2 + 210*k + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 1. Let d(h) = -2*h + 1. Let a(j) = 4*d(j) + 9*f(j). Let l be 5\/2 + (-296)\/112 + 29\/7. Calculate a(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.088 in 4\/3, -0.5, -10\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 262*z. Let w(b) = -663*b + 326*b + 11*b**2 + 337*b. Determine c(w(i)).\nAnswer: 2882*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*w = 38*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 2*g - 5. Let r(n) = -2*n**2 - n - 2 + 2*n**2 + n**2. Let q = 110 + -107. Suppose 3 = -q*z + 9, 0 = -3*o - z + 29. Calculate o*r(c) - 4*d(c).\nAnswer: c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 14. Let j(b) = 6*b**2 + 13 + a*b**2 - 22. What is the remainder when j(4) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**4\/3 - d**3\/2 - 3*d**2\/2 - 2*d. Let k = -344 - -340. Let m(y) = -4*y**2 - 4*y - 4. Calculate k*f(g) + 3*m(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1)\/(8\/(-12)) - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 88*m - 214. What is the units digit of j(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -179 (b) 0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 32\/803, 3, 0.36, 1\/4, 5, 0.4?\nAnswer: 32\/803","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*j + 14, -5*b = -3*j + 3 + 7. Suppose 0 = j*v + p - 1641 - 248, v - 4*p - 361 = 0. Calculate the greatest common divisor of 13 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-75)\/30)\/((-3)\/24). Sort -3\/2, -2\/3, -0.1, w.\nAnswer: -3\/2, -2\/3, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121 - -565. What is the least common multiple of a and 22?\nAnswer: 7546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 50*t**2 - 6*t - 34. What is the least common multiple of f(-50) and 70?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.39 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 12. Find the first derivative of 0*y - 3*y + m*y + 1 wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -5, -5.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/4)\/r**7*(r\/r**1)**44 assuming r is positive.\nAnswer: r**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3316*g. Let b(x) = -4*x**2. Determine b(d(h)).\nAnswer: -43983424*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -134*n. Let o(q) = -2*q - 423226. Calculate o(h(k)).\nAnswer: 268*k - 423226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 26 - 38 = 0. Let p be (22\/5)\/((-374)\/(-2040)). Calculate the highest common factor of c and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 42, 90, 158, 252?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (226*u - 3422*u + 455*u)*(-2*u + 5*u - 4*u) + 0*u + 0*u + 3*u**2 to c + r*u + z*u**2 and give z.\nAnswer: 2744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1603 by -4.\nAnswer: 1603\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-300)\/((-812)\/400 - -2). What is o rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbl when four letters picked without replacement from lbbbbbbbbbbblbbbbbb.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - c + 6*c = 0, -4*j - 5*c = 36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 688659691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 9 = -2*l, -5*l + 9*q - 5519 + 5484 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/198881 and -56\/299.\nAnswer: 2585453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -12*i**2 - 15*i + 15. Let d(u) = -u + 1. Calculate -2*a(k) + 30*d(k).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/9680628 and 54\/4033595.\nAnswer: 48403140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1092*j + 4041 = 31768 + 33425 for j.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 603118864 a multiple of 1004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/6)\/((-51)\/6). Let r = 335\/51 + l. Solve 38\/9*f**2 - 8\/9 + 16\/9*f + r*f**4 - 106\/9*f**3 = 0 for f.\nAnswer: -2\/5, 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3280)\/(-90))\/(-82))\/(9\/((-81)\/132))\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aattatnnaa. What is prob of sequence aata?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.0417303 and -0.3?\nAnswer: 0.91251909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 18*u - 65. Suppose -4*w - 3 = 1, -5*k + 125 = 5*w. Calculate the remainder when k is divided by j(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5))**45\/(g*(g*g**(-8)*g*g)\/g*g*g*g**(-7)) assuming g is positive.\nAnswer: g**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(57\/112860*45).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 5:33 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-2*m**5 + 2*m**5 - 3*m**5) - m - m**5 + m.\nAnswer: -7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9277 = 44*r - 10553 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 6:58 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 920.\nAnswer: -4600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24966?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.46 less than 83098375?\nAnswer: 83098366.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -37, 4536 in descending order.\nAnswer: 4536, -15, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.24536 times -1.25\nAnswer: -0.3067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14370*h + 14396*h - 130 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/(-15))\/(2\/10). Let n = i + -9. What is the remainder when 42 is divided by -33*(2 + n\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**11*(h\/(h\/(h**(-5)\/h)*h))\/h)\/(h**(-1\/7)*h**(-5\/3)*h) assuming h is positive.\nAnswer: h**(-361\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 21 - 6*o**2 + (1 - 3 + 4)*(2*o**2 - 3*o**2 - o**2) - 2*o**2 + 11*o**2 + 16*o**2 as r + n*o + u*o**2 and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13012002 (base 4) to base 16.\nAnswer: -7182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -75272991, -75272992, -75272993?\n\"Answer: -i - 75272990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/10 (b) -5\/104 (c) 2.76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -10. Let p = v - 10. Let c(o) = -o**3 - 2*o**2 + 3*o + 1. List the prime factors of c(p).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -89120.\nAnswer: -1\/44560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + 105*s - 104. Let r be n(-36). Which is the nearest to -99? (a) -1\/4 (b) r (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7441 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -454349193, -908698382, -1363047569, -1817396754, -2271745937, -2726095118?\n\"Answer: t**2 - 454349192*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n - 3. Let y(f) = 36*f - 16. Determine 16*p(c) - 3*y(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-3) + 1)\/(-1). Suppose -175*v + 169*v - 54 = 0. Let q be f\/(7 - -2)*v\/(-6). Are 0 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5168728, 5168717, 5168698, 5168671?\nAnswer: 5168636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 136.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 427757549 + 5.9.\nAnswer: 427757554.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -4. Let i(b) = b**2 + 7*b - 4. Let d be i(a). Suppose 4*m - q + 4*q + 9 = 0, 2*m = 3*q + 9. Sort -1, m, d in descending order.\nAnswer: m, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 12. Solve 0 = 4*n + 5*o - 2, j*n - 3*o = 13 - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 14.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 28 - 342 = 79*j. Suppose -3*t = -5*d - 9, 3*d - t = -0*t - 7. Sort j, 4, d.\nAnswer: j, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*c**3 - 6*c + 57*c**3 - 30*c**3 + c**2 + 4*c as m*c**2 + u + s*c + x*c**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59493, 118977, 178453, 237921, 297381, 356833, 416277?\nAnswer: 475713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44253*w**3 - 2*w**2 - 4506*w - 28 wrt w?\nAnswer: -265518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.4. Let z = -3 + o. What is the third biggest value in z, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*d**3 - d**2 - 2008*d + 89*d**4 + 3 + 615*d + 922*d wrt d.\nAnswer: 1068*d**2 - 54*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -103, -378, -639, -880, -1095, -1278, -1423?\n\"Answer: d**3 + d**2 - 285*d + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -305, -37, 217, 451, 659, 835, 973, 1067?\n\"Answer: -o**3 - o**2 + 278*o - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*p = 3*n, p = 2*n - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5229*b + 1. Let v(d) = 57*d + 1. Determine q(v(s)).\nAnswer: 298053*s + 5230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519159373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -983, -1964, -2945?\nAnswer: -3926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3 + 1086*b**2*z**2 + 8*b**2*z - 2709*b + z**2 - 4*z wrt b.\nAnswer: -18*b + 2172*z**2 + 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 1056097784?\nAnswer: 11617075624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*1\/(-10))\/((-12)\/(-10))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/6 - (-1492)\/24. Let m = p + -2017\/33. Let j = -3 - -5. Which is the smallest value? (a) 5 (b) m (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p = 26*p - 96. Let q = -60 + p. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2. Let q(t) be the first derivative of -1463*t**2\/2 + 5358. Give i(q(d)).\nAnswer: -2140369*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/15*(-30)\/1. Suppose 3*h - 5*h = -y. Suppose -10 + 8 = -r. Calculate the highest common divisor of h and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.2 + -41.2000179. What is r rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, 4\/3, -1\/119, 1\/283, 0?\nAnswer: 1\/283","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041907 rounded to three dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10212021012112 (base 3) to base 6\nAnswer: 111553152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.10731 (b) 0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*q**3 - 1 - 83*q**4 - 75*q**4 + 160*q**4 to j*q**4 + u*q**3 + o*q + b + g*q**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 340, 501, 654, 799, 936, 1065?\nAnswer: 1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 6*n - 4. Let s be x(6). Let t be (-2)\/9 - s\/18. Suppose -4*a - 4*j = 4, 3*j + t = -3. Solve z - 5*p - 22 = a, -z = 2*z + 3*p + 24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1614 + -106. Round d to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211112012201 (base 3) in base 9?\nAnswer: 2745181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from {x: 3, h: 5, s: 1, d: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*o = -207*o + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696269837?\nAnswer: 696269837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -951921.36 rounded to the nearest 100?\nAnswer: -951900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x + 6. Suppose -152 - 64 = -9*a. Suppose a = 11*b - 9. Put x, 38, b, -3 in increasing order.\nAnswer: -3, x, b, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -9*b + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0\/((-342)\/18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2691137*c**3*f*z + 3*c**3*z - 5*c**3 + 301*z - 4 wrt f?\nAnswer: 2691137*c**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(17)*1 + -5 + ((sqrt(153) + (sqrt(153) - (sqrt(153)*-1 - sqrt(153))))\/sqrt(9) - (2*sqrt(2057))**2).\nAnswer: -8233 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4063611437305.3 + -4.\nAnswer: -4063611437309.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9647 - -12083. Does 106 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/2)\/(-5*47\/470)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/4)*c**(1\/4))**8*(c**(1\/4)*c)\/(c*c**(-4\/7)\/c)*((c**(2\/7)*c)\/c)\/c**6 assuming c is positive.\nAnswer: c**(115\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 65*q + 68*q = -93, q = -a + 17 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 4. Let d be m(3). Let f = 2 - d. Let i = -307 + 6445\/21. Is f at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 19*n + 70. Let u be p(-3). Let f(v) = -v**3 + 14*v**2 - 13*v - 1. Let z be f(13). Which is the third biggest value? (a) z (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73 plus -0.04?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 111272 to the power of 1\/2, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a week in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -107, -14910, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1157 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000095250151 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7)\/(w\/w**(-1)))\/(w**(-6)*w**(-1\/5)*w) assuming w is positive.\nAnswer: w**(102\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6892477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28156380 and 25905.\nAnswer: 2355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8310 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 2*x**2 - 3*x + 3. Let q be a(3). Sort -3\/4, q, 0.9.\nAnswer: -3\/4, 0.9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 35041?\nAnswer: -3503f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/7, -0.4, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 20 = -a, -5*a - 3 + 13 = -2*z. Let j = 68.37 + -68. Let m = j + 0.03. What is the second smallest value in -1\/3, m, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49558.\nAnswer: 2, 71, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6740538587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101359 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3512, 4, -7, 6, -5, 5, -3 in descending order.\nAnswer: 6, 5, 4, -3, -5, -7, -3512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.124682ml in litres?\nAnswer: 0.008124682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmm when three letters picked without replacement from {m: 9, p: 11}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 25. Suppose -2*t = 3*t - r. Find the second derivative of 2*y**5 - t*y + 0*y**5 - 4*y**5 wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -3. Let i(c) = c**2 + c. Let n(t) = -6*t**2 - 14*t - 6. Let z(g) = 5*i(g) + n(g). Let j be z(-6). What is the highest common divisor of j and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*y + 27 = 0, 6 - 51 = -5*n - 5*y. Suppose 5*j = n + 61. Calculate the greatest common divisor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.5 - 4.2. What is the second biggest value in w, 5, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*c**3 - 219*c**3 + 41*c**3 + 23*c**3 + 18*c**3 + 45*c**3 + 48*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*q = 4*n - 52*q, 15 = n - 3*q. Solve n*a + 5 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5970002 and -0.5.\nAnswer: -2985001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 + 40 = 2*t - 4*i, i = t - 65. What is the smallest common multiple of 12 and t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74700 rounded to the nearest one thousand?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1362544?\nAnswer: 2, 85159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/727 - 5179\/21810. Let m = -1\/6 + s. What is the closest to m in 3, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0 + 12*g**2 + 0*g - 1\/8*g**5 + 5\/4*g**3 + 1\/48*g**6 - 5\/48*g**4. Find v such that c(v) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -9)\/(1\/(-1)). Let t(d) = 42*d**2 - 34*d. Let m(j) = -7*j**2 + 6*j. Let s(y) = z*t(y) - 34*m(y). Let o(v) = -4*v. Give o(s(k)).\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 less than 7543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/6 + 17*t\/3 - 32\/3.\nAnswer: -(t - 32)*(t - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**6\/120 - d**5\/60 - d**4\/24 - 172*d**3\/3 + 9*d**2. Let l be i(0). List the prime factors of ((-2)\/(-4))\/((-2)\/l).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3465 - 4.8865. Is g less than or equal to 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/5*c**4 + 4\/5*c**2 + 0*c**3 + 1\/5*c**5 + 0*c + 0 = 0. What is c?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 1\/2. Let p = -302767\/38 + 7966. Find the common denominator of m and p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23\/3 (b) -0.1 (c) 4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 44*c**2 + 86*c - 28. Calculate the remainder when b(-46) is divided by 38.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2336670 is divided by 196?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 7*z + 35 = 5*x, 2*z = 5*x - 26 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -1 (c) 6 (d) 2088\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k + 2*t, -5*t + 5 = -3*k - k. Let o be k*(1 - 3\/6). Suppose -4*x - x + 55 = o. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11015 (base 13) to base 3.\nAnswer: -1120012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2429 - -2443. What is the remainder when 19 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p - 2. Let n(s) = -6*s + 2. Let f(b) = 5*k(b) + 6*n(b). Determine f(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one quarters of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 70*w + 125 = -67*w, -3*l - 4*w = -183. Solve -7*s + l = -7 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 700 and 385?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/6, 203.5, 0.5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.832800588 to four dps.\nAnswer: 0.8328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 = 0, -7*n + 24409 = p - 8*n. Is 95 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57703198 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.22 + 0.12. Let t = -2.932 + 0.032. Let q = t - -3. Which is bigger: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -279 - -343. Calculate the least common multiple of s and (-172)\/(-8) - (-10)\/4.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -10 + (-19 + 2 - (2 + 4)) - -5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(13) + 4))**2 + 1.\nAnswer: 200*sqrt(13) + 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v**3 - 2*v**2. Let z(x) = 4*x**3 - x**2. Let h be (-8 - 0) + (32 - 27). Give h*n(r) + 5*z(r).\nAnswer: -7*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20562 - 31386 = -26*m. Calculate the greatest common factor of m and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13121133300313 + 10?\nAnswer: 13121133300323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeqqqeqe. What is prob of picking 4 e?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 134 divided by 250966\nAnswer: 67\/125483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 16, 0*r = -3*k - 2*r + 170. Suppose -3*s + 2 = j - 12, -2*s = -2*j - 20. Calculate the highest common factor of s and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 15 + 5*d - 30 - 8*d - 10*d. Does 5 divide t(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 2102250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**2. Let a(d) = 3*d**2. Calculate a(m(u)).\nAnswer: 27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/((sqrt(50) + sqrt(1250))\/sqrt(5)).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 q when four letters picked without replacement from {q: 5, m: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 15. Suppose -27 = -5*p - 3*l + 2*l, p + 4*l + 6 = 0. Let t = -374 - -389. Solve -4*n + 15 = z, r*z = n - p*n + t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 316*q - 984.\nAnswer: 4*(q - 82)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 13*h**3\/6 + 40*h. Let t(c) = -c**2. What is t(s(l))?\nAnswer: -169*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/27 (b) -2\/21 (c) 71\/136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one halves of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108 + -111. What is the third biggest value in s, -0.3, 7, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 5*c**2 - 2*c**3 + 4 + 1\/4*c**4 - 8*c. Is 13 a factor of v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 4*o**2 + 18*o + 12. Give r(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6\/5)\/t)\/(t\/(t**(-8)\/t)))\/(t*t**0)**38 assuming t is positive.\nAnswer: t**(-251\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y**2 - 8*y - 16. Calculate w(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1 + -2 + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 b, and 2 q when four letters picked without replacement from fbqyqgu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/2667 and -79\/1016?\nAnswer: 21336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6191515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98360 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -237 (base 10) to base 7\nAnswer: -456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3972502 plus 28176?\nAnswer: 4000678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 983, 974, 965?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 12*t**2 + 4*t - 2. Let s(a) = -11*a**2 - 3*a + 1. Suppose 30*q + 2 = -2*m + 29*q, -4*q + 25 = -3*m. Calculate m*b(v) - 4*s(v).\nAnswer: 8*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 10 = 0, 3*c + o + 48 = -7. Let y = 39 + c. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.668 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22.542 and -46204?\nAnswer: -1041530.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27445 + 27445 - 1567*j**3 + 189*j**3 + 7*j**2.\nAnswer: -1378*j**3 + 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*q - 3*h + 6*h, 0 = 3*q + 5*h - 10. Let a be 2\/6 - 14\/(-3). Suppose q*i - 45 = -a*n, n - 5*n + 38 = 5*i. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-8))\/(57\/(-12) + 1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 - 80*t**2 + 3*t - 2*t + 29*t**2 + 53*t**2 + 9 as o*t + z*t**2 + c*t**3 + x and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58991381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 575 times -512858\nAnswer: -294893350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 10*z + 3. Let i be c(-10). Suppose -6*q + i*q + 54 = 0. Suppose 65 = 23*m - q*m. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-112)\/(-113) - 0 - 1. Suppose 2 = -41*m + 125. Suppose -8*x - 6 = -3*g, -m*x = x + 3*g - 6. Is x greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - 0?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 3:08 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1 + 1)\/(1\/(-1) + -1))\/(-3). Put 7, -5, a, 4, -2 in descending order.\nAnswer: 7, 4, a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: What is 0.3 take away -229457?\nAnswer: 229457.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 4*r. Find the third derivative of 3*s**3 - 3*s**r - 5*s**5 + 14*s**2 wrt s.\nAnswer: -300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2156833321 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(2\/((-8)\/(-6))). Let c = o + 6. What are the prime factors of 9 - -4*(-1)\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79899795 divided by 5.\nAnswer: -15979959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, e: 2, t: 3}. Give prob of picking 3 t and 1 k.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:31 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1183, -36 in descending order.\nAnswer: 4, -36, -1183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2115 divided by -5\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**2\/11 - 196*u\/11 + 6.\nAnswer: -2*(u + 33)*(3*u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3504 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmmmrmmm. Give prob of picking 1 r and 1 m.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.1 + 5. Let u be 1 + -10 - 34030\/(-3818). Which is the second smallest value? (a) u (b) 0.3 (c) 4\/3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 65, 77, 113, 185, 305, 485, 737, 1073?\n\"Answer: 2*v**3 - 2*v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 4*m + 27 = 0. Let s(a) = a**3 + 10*a**2 + 14*a + 16. Let h be s(m). Let k = h - -65. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -31*o + 12 + 2*o + 5*o**3 - 4*o**3 + 13*o**2. Let j be t(-15). What is the tens digit of 1\/(-3) + (-814)\/j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 0*g + 0 + 0*g**3 + 0*g**6 - 3*g**2 + 1\/210*g**7 + 0*g**5 - 1\/6*g**4. What is the second derivative of b(f) wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 23.37655ml?\nAnswer: 0.02337655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/15*(-1)\/2. Let g = 16 - 15.67. Let p = g - -0.07. What is the nearest to -2\/3 in -2, j, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1)\/((7\/(-35))\/(-1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, z: 1, y: 2, g: 4, b: 4, i: 6}. What is prob of picking 1 y and 2 g?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 117776\/(-4080) - (1\/(75\/20))\/2\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -419, -4\/7, -0.01, 5, 0.1, -0.054?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -11.3. Let q = 1.7 + m. What is the closest to 0 in q, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -14*m**2 + 83*m + 27. Let v be z(-37). What is v rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2. Let i(j) = 2*j + 39. What is i(n(u))?\nAnswer: 10*u**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + -0.08. Which is the biggest value? (a) -0.5 (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25924 is divided by 355.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -161*y - 6281. Let s be l(-39). Let a(c) = -10*c**2 - 17*c - 32. What is a(s)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 871333836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 8:35 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*g - 103*g + 4*q + 139 = 0, 3*g - 169 = -2*q. Calculate the remainder when g is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*z + 10. Let l = 14 + z. Solve -17 = -l*i + 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -218256 + 638446. Round m to the nearest 10000.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1017*u - 50 = 1026*u - 2*s, u + 25 = 3*s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n**3 - 6*n**2 + 5*n - 6. Let t(g) be the third derivative of -g**6\/20 + g**5\/12 - g**4\/6 + 5*g**3\/6 + 30*g**2. Calculate -6*t(x) - 5*w(x).\nAnswer: x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -258, -396, -532, -666?\n\"Answer: y**2 - 141*y - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*f + 180*f = 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*x - 454, -3*x + k = -5*x + 301. Let n = x - 1034\/7. Which is the closest to -1? (a) -3 (b) -1\/6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 2*p - 11 = -5*i, -4*p - i - 3508 = -3485 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: -1020 divided by -1807\nAnswer: 1020\/1807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/3)\/6*6*63\/(-486)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihihhhhhhhi. Give prob of picking 2 h and 2 i.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 + r + 1. Give d(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 291143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 265.32312 to zero decimal places.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/56)\/(7\/(28\/(-3))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2179 + -0.0179. Sort o, 0.021, -0.2, -0.5 in increasing order.\nAnswer: -0.5, -0.2, 0.021, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 57191\nAnswer: 3\/57191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-12) - 4\/3) + 1. Let s be (5397027 - -3) + -3 + z. Suppose 0 = -6*a - 362975 - s. What is a rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*x = -15 + 243, 2*x + 228 = 3*o. Let v = o - -14. Suppose l = 2*m + v, -l - 2*m - 2*m = -108. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/1 + 12 + -1. Let r = 8 - w. Sort -2\/7, r, 2.\nAnswer: r, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60398 and 5681.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.1, 2, -21, -3 in increasing order.\nAnswer: -21, -3, -0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 5*z**2 + z - 2. Let q be h(5). Let s = q - 4. Let y(t) = -t**3 - 115*t**2 + 1111*t - 637. Let p be y(-124). Is s > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 6. Let a = -331\/5 + 66. Let l = 102 - 103. What is the third smallest value in c, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddejeddje. Give prob of picking 4 d.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + -44. What is the smallest common multiple of 29 and o?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18438 and 954825?\nAnswer: 13367550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 12*y - 3. Calculate the smallest common multiple of l(13) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-220)\/(-33))\/((-4)\/(-78)). Suppose c = 5*x - 0*x. Suppose -4*b = 5*d - 254, -49 = -d + 4*b - 3*b. What is the remainder when d is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586*x - 591*x + 260 + 755 = 0. Solve 6*i - 191 = -x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -152*u**3 - 1091*u**3 + 26*u**3 - 125*u**3 + (2*u**2 - 1 + 1)*(-4*u + 2*u + 3*u).\nAnswer: -1340*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 56897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/(45\/25).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 262*g**3 + 0 + 26*g**3 + g**2 + 5*g.\nAnswer: 288*g**3 + g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 11\/8 (c) -2 (d) 2\/7 (e) 25\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87269595 to the nearest integer?\nAnswer: 9342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 113 + (-67 - (61 - 126) - (3 - 7 - 3))\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/44 and 27\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47815, 47817, 47819, 47821?\nAnswer: 47823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -176, -4\/5, 19?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -25. Suppose 16 = -4*z - 2*l, 3*z = -l - 2*l - 6. Let r be ((-40 - 1) + 1)*(-7 - z). What is the greatest common divisor of r and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1363*n + 48 = -1347*n. Let g(c) be the second derivative of -10*c + 0 - 1\/8*c**n + 1\/48*c**4 + 0*c**2. Factor g(q).\nAnswer: q*(q - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3832\/3 - 1266. Let x = s + -12. Let z = -4\/7 - x. Is 0 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340108 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*k**3 + 0 + 37*k - 6*k + 18*k + 1 - k**2 as n*k**3 + p + o*k**2 + u*k and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.0243 * 24.724\nAnswer: 0.6007932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {h: 4, o: 4, t: 1, w: 6, n: 2, v: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 3041740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -10*n - 92. Calculate i(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kckcckrcc. What is prob of picking 2 c and 1 k?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = -153*u + 82*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + l + 1. Let q(g) = 85*g**3 - 30*g**2 + 15*g + 15. Give -15*c(k) + q(k).\nAnswer: 85*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.668 - 5.668. Let v = -4.3 + 2.2. Let u = -2 - v. What is the closest to u in 3, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -562?\nAnswer: -9\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*g**3 - 1410*g**2 + 1152*g - 232.\nAnswer: -2*(g + 29)*(5*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 26*p + 12. Let h(i) = 29*i + 10. Determine -6*b(r) + 5*h(r).\nAnswer: -11*r - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2, -102, -280, -542, -894, -1342?\n\"Answer: -p**3 - 33*p**2 + 6*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18207 and 444.\nAnswer: 2694636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/6)\/((-8)\/24). Suppose 0 = -n - n - 6. Sort p, -4, n.\nAnswer: -4, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (1*sqrt(5))**2 + sqrt(5) + sqrt(5)).\nAnswer: -8*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 60 = -4*j - k, 1 = k. Let u(h) = 25*h - 11*h - h**2 - j*h. Let f(i) = -4*i**2. What is f(u(c))?\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.06383*-0.6\nAnswer: 0.038298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*v + 6 = 0, -3*h = -2*v + 15 - 61. What is the least common multiple of h and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137991193 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2362581168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*i + 5*u, 31*u = 34*u. Solve v - i = 5*p, 0 = -p - 10 + 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1203 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -30*g + 11. Let j(c) = -23*c + 10. Let r(q) = 4*j(q) - 3*o(q). Give r(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 165, 152, 143, 138?\n\"Answer: 2*x**2 - 19*x + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -457 + 491.7. Let l = z - 35. Which is bigger: 1\/4 or l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4*g = 0, 1712*p - 2*g + 164 = 1672*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3}. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*-1*(-108)\/(-252).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m\/(m**(-18)*m*m)*m)\/m)**31)**26 assuming m is positive.\nAnswer: m**15314","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*x + 170*x + 614*x.\nAnswer: 962*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7020\/(-1458))\/65*(-36)\/(-32)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 385.2738 millimeters?\nAnswer: 385273800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 845 - 832. Solve -y + 14 = -4*o, 3 - k = o + 3*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 10*o - 179. Let w be c(18). Is (325 - (7 + -4))\/(w\/4) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 - 114*m + 58. Let c(j) = j**2. What is t(c(p))?\nAnswer: 4*p**4 - 114*p**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 7:08 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4032056.7 microseconds to hours.\nAnswer: 0.00112001575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x - 4*x + 20*x = -38 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/441 and 4\/263529.\nAnswer: 1844703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 184*d**3 - 6*d**2 - 14*d - 1843. Let q(s) = 67*s**3 - 2*s**2 - 5*s - 614. Give -11*q(n) + 4*x(n).\nAnswer: -n**3 - 2*n**2 - n - 618","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/5 (b) 7.1 (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1*6\/331)\/(7\/14*-6)\nAnswer: 2\/331","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 340392983 and 8.\nAnswer: 2723143864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*s - 4 + 1)*(6 + 10 - 1).\nAnswer: 30*s - 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 + 9*y**2 - 89. Let l be p(0). Let t = l + 116. Let z = 131 - 80. What is the remainder when z is divided by t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5*q = -10, 2*q = -10 - 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -183 divided by 140\nAnswer: -183\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (1 + -6 + (-12 - -22)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 17*z + 6*z - 24 - 13)*(-4*z**2 - 3*z**2 + 2*z**2).\nAnswer: -115*z**3 + 40*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62293757 rounded to 2 dps?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, f: 14}. What is prob of sequence kfkf?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26, -0.11, -1\/7, 2529?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -5*w - 8, 0 = -x + 6*x - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/6 - 12\/36. Suppose l*z - 5*q = 30, -z - 4*z - q = 0. Let h be (z\/1)\/(3 - 2). Solve 2 = i + h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.5 - -11. Suppose 2*q - 96 = 6*q. Which is the smallest value? (a) 0.4 (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and ((-18)\/10 + 1)*-10 + -2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 18*a - 8 - 41*a + 24*a. Let t be q(10). Suppose k - m - 119 = 0, -352 = -3*k - t*m - 0*m. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 151 = -10*r - 154 + 327, 0 = -8*r - 5*l - 89 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 669, -4, 0, -5, -59 in decreasing order.\nAnswer: 669, 0, -4, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 + 90951*j\/4 - 18407831\/2.\nAnswer: (j - 403)*(j + 91354)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x - 7. Let t(c) = -7*c + 15. Calculate -9*f(z) - 4*t(z).\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/90 and 76\/225?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1)*1 + (sqrt(60)*2)\/sqrt(12).\nAnswer: -1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1878)\/(-15) + (-1)\/5. Suppose 3*n - h - 3 = -2*o, -2*n + 107 = -3*o. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5282769465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137 - 2*o - 234 + 928)*(4*o**4 - 6*o**3 + 4*o**3 - 5*o**4).\nAnswer: 2*o**5 - 827*o**4 - 1662*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-1 - -1) + 21. Suppose 3*a = -a + d. Let h be (12\/(-16))\/((-1)\/(-4)). Sort -5, a, h.\nAnswer: -5, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 r, and 1 c when four letters picked without replacement from {r: 5, a: 1, g: 5, c: 1, j: 3, o: 3}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01 and -288.3621?\nAnswer: 288.3721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*l**5 - 87137*l**4 + 167947587*l wrt l.\nAnswer: -2540*l**3 - 1045644*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70.1 + 70. Let l(y) = 6*y + 1. Let o be l(-1). What is the third smallest value in o, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17942376.1 rounded to the nearest one thousand?\nAnswer: 17942000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1.15. Let s = c - 0.25. Let v = s - -0.0997. Round v to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-5)*l*l*((l\/(l*l**(-2\/5)\/l))\/l)\/l)**50 assuming l is positive.\nAnswer: l**370","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.45 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 9*g - 9. Let t be l(7). Let v be -1 + 1 + -2 + 10. Suppose 4*u - 7 = -j + 6, -u = -j + v. Solve -f - 3*k = -0*f - 1, j = f - t*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 35, 58, 79, 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2348, -4835, -7322, -9809?\n\"Answer: -2487*s + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12107718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*a = -0 - 17, -4*a = -16. Let d(w) be the first derivative of 3*w**3 + w - 1. Determine d(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 223375 (b) 5 (c) -3 (d) 142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001021 (base 3) to base 4.\nAnswer: -23323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 3*i + 5*i)*(-2 - i + 2) + 2 + 0 + 154*i**2 - 219*i**2 - i.\nAnswer: -63*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3806879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -200484 divided by -4\nAnswer: 50121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*n + 1793, 406 - 55 = h + 3*n. Suppose 0 = -4*p + 2*y - 466, 0*p + h = -3*p - y. Let z = -118 - p. Solve z = -4*m + 13 - 33 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 6 in decreasing order.\nAnswer: 6, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9483193 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/1)\/(-6)*9. Suppose -2*h - 109 = -3*p - 0*h, j*p = -h + 112. Let f = 85 - p. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*d + 6*d. Suppose -6*u + d = -2*u. What is the least common multiple of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + b5?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Suppose c + t = -c - 2, h = -4*c - 4*t. What is the closest to 0 in c, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -87*f + 348. What is q(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -1030102?\nAnswer: -1030042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (0 - -3))\/2. Which is bigger: -1\/179 or x?\nAnswer: -1\/179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - (-3 - 21 - (-36 + (53 - 3)))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49)\/(-18655)*-41)\/(168\/(-15))?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -12 - (-4 - (0 + -7 + 6) - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = 4*i, 2*i - 3*r = -i - 6. Let j be (-12 + 13 - (1 + -1))*i. Sort -1, j, 2, -7 in ascending order.\nAnswer: -7, -1, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/9*(-33)\/550\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5361 = 2*t - 23190. Is t a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/10)\/(3\/18))\/((-1290)\/(-4300))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba6 (base 12) to base 11.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -12*l + 7 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 101*u - 182*u - 4 - u**2 + 0 + 43*u + 0*u**2. Let f be c(-38). Let i = 4 + -3. Sort i, -2, 2, f in descending order.\nAnswer: 2, i, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37*s - 24*s + 81*s)*(s**2 - 2*s**2 + 0*s**2) to k*s**3 + f*s + l*s**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-175)\/(-150))\/(35\/(-15))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-118*t**2 + 66*t - 66*t)*(-5*t + 3*t - 2*t) as o*t**2 + j + y*t + i*t**3 and give i.\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 16*b + 5\/2*b**4 + 1\/2*b**5 - 16*b**2 - 3*b**3.\nAnswer: b*(b - 2)*(b - 1)*(b + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.63, 0, 3 in decreasing order.\nAnswer: 3, 0, -0.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s - s**2)*(-3*s**2 - s**2 + 3*s**2) + (7*s**2 + 2*s**2 - 2*s**2)*(-3*s - 5 + 5)*(2 + 2*s - 2).\nAnswer: -41*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -630 - -650. Suppose -8*p + 40 = -6*p + 4*k, 3*k - 100 = -4*p. What is the lowest common multiple of p and g?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l - 4. Let z = -34 - -31. Let a be d(z). Let s(x) = x**2 + 3 + 0 + 9*x + 0*x**a. Calculate s(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 15*o = -24. Find the second derivative of -70*y - 23*y**2 - 75*y - 5*y**2 - o*y**2 wrt y.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 146696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -29*j + 53. Is 6 a factor of u(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*k - 134 = 85 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 267744152 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -2 in decreasing order.\nAnswer: 4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + (0 - (-17 - 15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 336*a + 675. Let j be m(-2). Solve -j*l + 3*x + 18 = 0, 43*l + 4*x = 46*l - 21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 12*h - 8. Let w be q(-4). Is -57 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 449, 466, 503, 560, 637, 734?\n\"Answer: 10*d**2 - 13*d + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/21*665\/190.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22\/(-33))\/((-5)\/30). Does 6 divide (6\/(-12) - 2\/k) + 355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.5, 0.023, -0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 692655?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 1 + 11. Suppose v*q = 28 - 10. Let r = -405 - -415. Calculate the remainder when r is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -416 and -423 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -346264*n**2 + 56*n + 300. Let f be k(2). What is f rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**5\/60 - 7*g**4\/12 + 4*g**3 - 9. Let i(x) be the third derivative of r(x). Is i(-19) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3\/4)*i)**(7\/4)*((i\/(i**(3\/4)\/i))\/i*i)**(-9\/7))**(-2\/55) assuming i is positive.\nAnswer: i**(-13\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 259.319 times -12.1\nAnswer: -3137.7599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -417 + 420. Suppose -8*z + 1485 = -5*z - 3*n, j*n - 15 = 0. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 15*b - 12. Let a be m(-10). Let r = -55 - a. Suppose -26 = r*d - 278. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 * -5.6775.\nAnswer: 244.1325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 247*x**4\/12 + 2*x**3\/3 - 200*x**2 + 132*x - 1. Differentiate c(j) wrt j.\nAnswer: 494*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2884078 and 21.\nAnswer: 2884099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d. Let n(x) = 62802*x**2. Give n(i(h)).\nAnswer: 2260872*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11555 or -11552?\nAnswer: -11552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4791, -4845, -4899, -4953, -5007, -5061?\nAnswer: -5115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -g - 3*g + 199, 0 = 4*g - 3*s - 217. Let b = g + -44. Solve 0 = -3*f + b + 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -3400?\nAnswer: -3410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/18618 and -67\/64?\nAnswer: 595776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*v + 25*v = -3448 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-4) - 5\/((-40)\/8404).\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46345, -93234, -140123, -187012?\nAnswer: -233901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 11:01 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -49c09 (base 13) in base 8?\nAnswer: -411566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197515773 divided by -91.\nAnswer: -2170503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (533 - 597) + (5\/3 + -2 - (-1)\/3).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11496 to three decimal places.\nAnswer: -0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -312?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1139633341 to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4416201400 rounded to the nearest 1000000?\nAnswer: -4416000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o + 4 + 3*o - 9*o**3 + 18*o - 10*o - 7*o as d*o + y*o**3 + c*o**2 + z and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 32*q**2. Let o(r) = 57*r**2 + 2. Calculate o(z(t)).\nAnswer: 58368*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 708 + 0 - 0. Suppose -2*o - 2*y = -y - 1405, -o = -4*y - g. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.8 + -5. Which is the third biggest value? (a) 2\/7 (b) x (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1106*f**2*s + 3*f**2 - 100*f wrt s.\nAnswer: 1106*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(1\/3)))\/n)**(-2\/31)*(n**(2\/13)*n)\/n**(2\/9) assuming n is positive.\nAnswer: n**(3535\/3627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 + 2*r + 1. Determine c(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20.509, 0, 95, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14046684 divided by 69884?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 + 8 = 0. Let x be h*1 - (-5 + 2). Sort 12, 1, x in descending order.\nAnswer: 12, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from {j: 4, v: 5, s: 2, n: 1, c: 2, e: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 590, 2378, 5360, 9536?\n\"Answer: 597*b**2 - 3*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2120 = -5*y, 4*z - 5*z + 4*y + 2138 = 0. Is z\/40 + (-1)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 6. Let r be b(4). Suppose -5*q + r*v - 627 = -8*q, 5*q - 4*v = 1023. Calculate the highest common factor of 23 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 39 - 84)*(-4*u + 3*u - u)*(6 + 0 - 5) + 2*u - 5*u + 2*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 34732922 divided by -11746\nAnswer: -2957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1855989085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22339 to 2 decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1427840 and 51520?\nAnswer: 9994880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -r + 28. Let g = 15 + -23. Sort -1, r, g in increasing order.\nAnswer: g, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 50. What is the tens digit of (-39 + x)*(-14)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 842, 1753, 2664?\n\"Answer: 911*x - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16 - -18)*-657 + 6. Which is smaller: -1303 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/60 + s**3\/2 + s**2. Let h(q) be the first derivative of w(q). Let b(n) = -5*n**2. Determine h(b(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/45)\/((-20)\/(-25))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 6*z**2 - 5*z - 10. Let j be l(8). Suppose 2*h + j = 3*h. Suppose 92 = 5*i - 3*g, -h = -5*i - 5*g + 22. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 5*b**2 + 3*b + 6. Let p be k(-5). Let t(o) = -958 + 3*o + 945 - 5*o. Give t(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12120011 - -11001?\nAnswer: 12201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + ((sqrt(192) + sqrt(192)*2 + sqrt(192))*5 + sqrt(192) - sqrt(192))) + 1.\nAnswer: -320*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/6*10\/(-3). Suppose 20 = -v + o*v. What is the second derivative of -4*l**4 + 0*l**4 + 6*l - v*l wrt l?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 56.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 8*o - 34. Let s(z) = -z**3 + 2*z**2 - 5*z + 3. What is s(o)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyzyyzy. What is prob of sequence zzyy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, 0.1, -1\/152, -13.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17678145679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 168 = 2*i - 3*i, -5*i = 5*m - 225. Suppose -4*a = -73 + m. Calculate the smallest common multiple of a and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143 + 147. Let t(o) be the first derivative of -1\/2*o**2 - d - o. What is the first derivative of t(s) wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h + 114 + 834 - 394 + 1387 to b + m*h and give b.\nAnswer: 1941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 702 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 204 + -212. Let v(u) = u**3 + 9*u**2 + 7*u - 2. What is v(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.2 (c) -4\/11 (d) -4 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 + 57*o**2 - 29*o + 2. Let s(m) = -5*m**3 + 2*m**2 + m + 1. Let c be s(2). Let h be q(c). Solve -h*f = -0 - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 2*q - 8. Let t(i) = -i**2 - 17*i - 4. Let a be t(-17). Let h be d(a). Solve -5*p - 20 = 3*x, -3*p + 4*x = -h + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 3*q**2 + 3*q - 4. Let m be s(3). Suppose 1 = 2*c - m. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -6*n + 6. Suppose -10 = -n*q + 2*s, -3*q - 2*q - 5*s - 5 = 0. Solve -q*v - g - 6 = g, 12 = -2*v + 4*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3920\/(-1365))\/14*13\/(52\/6).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 - 335 - (-2 + -16 + 3 + -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4*a**2 + 2 - 8*a.\nAnswer: -4*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1655 divided by -5.\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 21*f**2 - 46*f - 15. Calculate m(-23).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103\/44 - ((-1417)\/143 - -10).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 21 + -17 - -15\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-175)\/(-14) - 9)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*n + 127*n = 64*n + 380 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 6 - (-4 - -3). Suppose 325 = w*z - 4*u, -128 = -3*z + z + 2*u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(162) + sqrt(162))*-5 + -2*(sqrt(162) + -4).\nAnswer: -108*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*t - 5*z, 7*t = 2*t - 3*z + 26. Calculate the remainder when t is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(126)\/(sqrt(150)*2))\/(sqrt(84)\/(sqrt(132)\/sqrt(11)) - sqrt(1372)\/sqrt(4)))**2.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.69 + -0.19. What is l rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 25, -15\/8 in decreasing order.\nAnswer: 25, -15\/8, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39222.086485 + -39222. Round h to three decimal places.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 - (440\/(-15))\/(-11).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -52, 46, 5, -2 in ascending order.\nAnswer: -52, -2, -1, 1, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 150*f**2 + 269*f**4 - 2*f + 7*f + 5*f - 8*f wrt f?\nAnswer: 6456*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/143)\/(25\/(-52800)*24)?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**4 + w**3 - 1. Let k(u) = 31*u**5 - 6*u**4 - 8*u**3 - 21*u + 6. Let h(b) = -k(b) - 6*o(b). What is the second derivative of h(x) wrt x?\nAnswer: -620*x**3 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s - 9. Let l(f) = -22*f - 28. Let j(h) = -10*a(h) + 3*l(h). Let c(i) = 2*i + 3. Let k(t) = -5*c(t) + 3*j(t). Let d = 72 - 67. Calculate k(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -16. Let f(y) = -y**3 + 4*y**2 - 2*y - 2. Let m be f(a). Let n be 0\/(-3) - -2 - -2. Solve 0 = -m*c + n - 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23893 - 23901. Which is bigger: a or 1198?\nAnswer: 1198","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 114460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 5 = -4*m. Suppose 770 = m*a + 5*x, -31 = -5*a - 4*x + 740. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 11385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-5265)\/(-468)*(-16)\/12\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*i + 11. Let l = i + 8. Let u be -1*(-1)\/((-2)\/(-4)). Solve -u + l = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -11. Let s be 1 - o - 1\/(-1). Suppose s*v - 4 = 0, 0*p - 2*v = 2*p - 50. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 11*j**2 - 12*j. Let c be y(12). Suppose c = 5*r - 47 + 2. What is the remainder when 25 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16595819?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32143.\nAnswer: 32143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -7, 1, -360, 3, 14\/1187?\nAnswer: 14\/1187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/372987 and -7\/414430?\nAnswer: 3729870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 8. Let f be p(6). Solve f*a - 5*b = 3*a + 6, 2*b + 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 3. Let w be l(-6). Let d be (-6)\/3 + w + 116. Calculate the highest common factor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -149 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -84.7645\nAnswer: -16.9529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 = -4*z + 2*k - 212, -4*k + 32 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1020\/(-70) - 6)*(-3)\/2 - (-36)\/(-42).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96154*d**2 - 192259*d**2 + 96126*d**2.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 655 - 656. Let l(i) = -4*i - 4. Let q be l(y). Solve -2*a + 7*a + 15 = q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 0*j**4 + 1\/20*j**5 + 1\/60*j**6 + 15*j**2 + 0 + 0*j - 1\/6*j**3. Factor b(p).\nAnswer: (p + 1)**2*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 9:09 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_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: What is the nearest to 2\/5 in 0.0197, 1, -145, -2\/23, -1?\nAnswer: 0.0197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 4*p**2 + 6*p + 7. Let w be u(-5). Suppose c + 2*z - 13 = 0, 3*c - w*z + 4*z = 39. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -523 in 3, 2.8, -0.5, 18, -0.2, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 15\/4 of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7201, 5, -23 in ascending order.\nAnswer: -7201, -23, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 354 - 253. Suppose -x + 246 = t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 + 111*x - 111*x.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/119265 and 151\/30.\nAnswer: 238530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**4 + 81*c**3 - c**2 + 475 wrt c?\nAnswer: 96*c + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 294*w - 335. What is the remainder when c(5) is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3789 - -3792. Solve 3*w - 6 = -3*m - q, 2*m = -4*w - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6064300 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3113 (base 5) in base 15?\nAnswer: 1c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + (6*2*sqrt(1573) - sqrt(1573) - (0 + sqrt(1573) + sqrt(1573) + -2) - (1 + (sqrt(1573) + -1 - sqrt(1573)) + -1))))**2.\nAnswer: 12672*sqrt(13) + 2038864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 362185 + -165588. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrwrwrrrwrr. Give prob of sequence rww.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*v, 5*j = -4*v + 1 + 18. Suppose -5*b = j*x, -x - b = -0 - 2. Suppose -3*h + 19 = -t + 28, 2*t = h + 23. Solve c - x = q + 1, 4*q + t = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162504913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 152926907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/2)\/((-475)\/1520*6\/(-5))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = 5*d - 3*r - 140, 0 = 4*r - 20. Let y = -5 + 1. Which is the third smallest value? (a) 3 (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 14*h + 5. Give q(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o + 149. Let j be d(51). Sort -5, j, -34, 1.\nAnswer: -34, -5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 412 = 331. What is the lowest common multiple of 80 and (-3)\/x - ((-430)\/18 - 1)?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o + 25*o + 36482 = 55*o. Solve -36 = 623*t - o*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.03 - 5.51. Let u = g + 4.5. Sort -0.4, u, 5, -2 in descending order.\nAnswer: 5, u, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 2. Let o be n(-5). Suppose -4*b + o*b = 6. Let k(c) = 4*c**2 - 2*c**2 - b + 2. Let f(z) = -2*z. Calculate f(k(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1596218 is divided by 39879?\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 4*l**2 + 6*l + 6. Let p be n(-2). What is the derivative of -5*g**2 - 15 + 8*g**2 - 9*g**p wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-14)*(-8)\/16.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*b - 2)*(-5 + 12 + 4).\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -4\/3, -0.5, -2\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 14*a**2 + 1. Let z(k) = 8*k**2 + 7*k + 10. Calculate the remainder when z(-2) is divided by u(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 - 89 = -76*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 7*q - 64. Suppose -3*i = -q - 14. Let p = i - -4. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 164903.3505s?\nAnswer: 0.27265765625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/1551 and 89\/188.\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669380.\nAnswer: 2, 5, 33469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 5*s**2 - 6*s + 9. Determine j(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + l**2 + l - 1. Let h(w) = 2 - 2 - 2*w**2 - 2*w + 1 + 0*w**2. Let t = -59 + 13. Let d = t + 48. What is d*c(r) + h(r)?\nAnswer: 2*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -376\/7 + 54. Which is the closest to -0.1? (a) -2 (b) -1\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**3 - 2 - 7*y**3 + 5*y**3 - 2*y**2 + 10*y**4 + 0*y**4 to the form z*y**3 + j*y**4 + s*y + k*y**2 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -198 + 198 - j. Let w(i) = 16*i - 8. Let r(p) = 11*p - 5. Let h(y) = 8*r(y) - 5*w(y). Calculate q(h(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -355.99 - -357.99. Let f be -3 + (-2 - -1)\/(-1). Which is the closest to f? (a) -1 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 3:07 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, v: 3}. What is prob of sequence bb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -486130*u**3 + 4*u - 3*u**4 + 486130*u**3 - 1 to i*u + y*u**4 + l*u**2 + j*u**3 + z and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104422 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: Let t(a) = 3*a**2 - 3*a - 6. Let o(h) = -h**2 + 1. Let r(d) = -5*o(d) - t(d). Let l = -51 - -49. Calculate r(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -57, -213, -467, -813, -1245, -1757, -2343?\n\"Answer: j**3 - 55*j**2 + 2*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638541?\nAnswer: 3, 70949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 = 88. Let k = d - -10. Let z = 5 - k. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u**3\/21 + 658948*u**2\/21 + 4731338*u\/21 + 119780\/3 = 0.\nAnswer: -29945, -7, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -681, -1023, -1365, -1707, -2049?\nAnswer: -2391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*m - 18, -4*m + 0*r + 4 = -5*r. Calculate the smallest common multiple of m and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1136 or 3705?\nAnswer: 1136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**7\/1470 + j**6\/840 - j**5\/420 - j**4\/168 + 13*j**2. Determine h, given that p(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 0*p**2 + 9*p - 1\/2*p**3 + 0. Let l(y) be the second derivative of 11*y**3\/6 + y. Determine x(l(b)).\nAnswer: -33*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = 13*j - u + 3, 3*u - 8 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -3*t - o, -t - 18 = 32*o - 31*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.55*-0.13.\nAnswer: 0.7215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -0.5, 4, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -149 + 296. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40219 + -32470. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5472, -5470, -5468?\n\"Answer: 2*f - 5474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2147, -2151, -2155, -2159?\n\"Answer: -4*c - 2143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1380)\/(-8)*12\/10 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = -5*w + 18*i + 40, 4 = -2*w - 3*i. Put w, 2, 3, 1, -10 in descending order.\nAnswer: w, 3, 2, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 20*y**2 - 230*y - 758. Calculate r(-6).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*w**2 + 42*w**2 - 5*w**3 - 4*w**3 + 42*w**2.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q**2 - 3*q**2 + 434*q - 236*q)*((-3*q + 5*q - q)*(-4 - q + 4) + 2*q**2 - 2*q + 2*q) in the form l*q**3 + x*q**2 + o*q + u*q**4 + y and give l.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 43 + 3 = 4*f, 5 = 4*d + 3*f. Suppose -r - 1 = 0, 155*k = 157*k + 4*r - 100. Calculate the remainder when k is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -831, -828, -825, -822, -819, -816?\nAnswer: -813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 83, 0.2, 17.6 in descending order.\nAnswer: 83, 17.6, 1.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*n + 400, 4*n - 94 = m + 5*n. Let k be 2\/(-8) + m\/(-8). Suppose 5*j = 6*j - k. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 3*a - 3*a)*(-3 + 5 + 0) + a**2 + 2*a**2 + a**2 - 2.\nAnswer: 8*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 8*m**2 - 18*m - 32. Let s be w(10). Suppose -l - 3*b - b - 24 = 0, 5*l + 84 = -2*b. Let n = l - s. Put -9, n, 0 in descending order.\nAnswer: 0, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6271*n**5 + 40*n**4 + 929731*n**2 wrt n?\nAnswer: -376260*n**2 + 960*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385, 386, 389, 394?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45627611231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22156 + 31046. Calculate the lowest common multiple of 16 and z.\nAnswer: 71120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (16 + (-38 - (0 + -19)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m + 6 = 2*d, m = 2*d + 3. Solve -3*v + m = -6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 700 + 695 + 45013*z**2 - 1393 - 44985*z**2.\nAnswer: 28*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6*d = 2*d + 484, -4*v + 1866 = 2*d. What is v rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 3. Let k(c) = c**3 + 3*c**2 + c + 3. Let z be k(r). Let h be -2*((0 - z) + -1). Solve o + h = 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 449.7, -385 in decreasing order.\nAnswer: 449.7, 4, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 46*t + 13. Calculate b(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.0999 times -5?\nAnswer: -405.4995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - -2)*-3 - -9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1. Let z(p) = -3*p + 14. Let i be z(5). Let h(t) = -t**2 - 5*t - 1. Determine i*h(k) + 3*v(k).\nAnswer: k**2 + 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -9\/7, -5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 12 = -2*z + z, -6 = -w - 2*z. Suppose -16*t + w = -15*t. Suppose -48 - 486 = -t*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 44130014?\nAnswer: -44130021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13435 + -255197\/19. Is 3 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31*g*i*l**2 + 209*g*i + 60*g*l**2 + l**2 wrt i?\nAnswer: -31*g*l**2 + 209*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*a*l**3 - 3457*a*l**2 - 2*a*p**2 + 3*l**3*p**2 + 23460*l**3*p - 2*l**2*p**2 + 3*l*p + 14*l wrt l?\nAnswer: 252*a + 18*p**2 + 140760*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*w + 133*w + 12 = -2*d + 250*w - 10, -3*d - 3 = w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/4 + 7*i**3\/2 - 9*i**2 + 17*i\/2 - 11\/4.\nAnswer: -(i - 11)*(i - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25068 < 27458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.01 - 0.81. Put -0.5, h, -0.1, -2\/5 in descending order.\nAnswer: h, -0.1, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38127811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 6*h + 7. Let b be r(-5). Let d be (0 - -1)*b - -1. What is the units digit of (d\/(-9))\/((-1)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10531 = -3*a - 3*m - 10627, -4*a + 3736 = -134*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -f - 3*f + 90, 0 = 5*l - 5*f + 225. Let r(y) = y**2 + 4. Let w be r(0). What is the units digit of (-198)\/l - w\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2845 * -0.7.\nAnswer: 0.19915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-324)\/(-2511) + 1976\/62.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-108)\/624*3\/(7\/(-168)*9)?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 443, 1354, 2749, 4628, 6991, 9838, 13169?\n\"Answer: 242*s**2 + 185*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663 is divided by 72?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0266 + 0.3?\nAnswer: 0.3266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -276691.2807730496891 + -5.7458261803109. Let o = 276727.0266 + f. Let d = 30 - o. Round d to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-288*l**3 - 5614*l**2 + 5614*l**2)*(-3*l + 5*l + 3*l) to the form q*l + h + k*l**3 + s*l**2 + r*l**4 and give r.\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -4.2. What is the third biggest value in o, -5, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-49) - 194\/(-7). What is the greatest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (16\/3 - -2) + (4 - 4).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 0.08, -1.4 in increasing order.\nAnswer: -1.4, -1, 0.08, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -666, -1671, -2982, -4581, -6450, -8571, -10926?\nAnswer: -13497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (330\/275)\/((-120)\/10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4274197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4323224 is divided by 105437.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11920 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 258915665 a multiple of 4483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)*f**(-2\/5))**(-25) assuming f is positive.\nAnswer: f**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15197950846 minus 61?\nAnswer: -61.15197950846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 12*x - 31. Let t be u(-14). Let g(p) = -p + 10. Let k be g(t). What is the derivative of 9*c + 22 + k*c - 6*c wrt c?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-4 + 6 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.365 > 10671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 10*o + 11. Let t be c(-8). Let v = t + 4. Is v greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342225 (base 9) to base 3.\nAnswer: -101102020212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 15116.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5477802632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, q: 7}. What is prob of sequence qqqy?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310.282 - -0.06902817.\nAnswer: -310.21297183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**2 + 4*w - 12. Let s(z) = 7*z**2 + 3*z - 13. Let o(h) = 6*r(h) - 5*s(h). List the prime factors of o(7).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/9*(-210)\/5. Suppose v = 2*s + 2. Factor 13 - 2*c**3 + 0*c**3 - 5 + s*c**2 + 12*c + 3*c**3.\nAnswer: (c + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 not equal to -4318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {k: 1, t: 1, s: 3, f: 1, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -21 + 15 - 12\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6512953, 13025902, 19538851?\nAnswer: 26051800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2290 or 2289?\nAnswer: 2289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2131*r + 3263*r = 3396 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 4*v - 20, 5*a + 31*v - 33*v + 25 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184359463 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:54 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 22440.07mm?\nAnswer: 2244.007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592919 to the power of 1\/2, to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 32983705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 265233 and 1856632\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/400 and 29\/44.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 201\/(-134)*(-832)\/3. What is the greatest common divisor of m and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**2 + 124*z + 6. Calculate d(25).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 5, -7, 1, 102, -5 in ascending order.\nAnswer: -7, -5, -3, -2, 1, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6031 - 5962. Solve d*b - 63*b = -30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288742 is divided by 227?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 414*m - 23. Let p(n) = -139*n + 8. Give -17*p(q) - 6*t(q).\nAnswer: -121*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 1\/2*b**2 - 12 + 24*b. Is n(12) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 414 = -35*n + 10*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 5*p**2 + p. Let i(g) = -g**2. Let u(q) = 2*i(q) + t(q). Let y = 10 + -13. What is u(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-250)*(-115)\/(-14). Let t = 1\/28 + x. Which is the fourth smallest value? (a) -1\/6 (b) 0.1 (c) -0.3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011101 (base 2) in base 12?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - z + 5 - 5)*(-z + z + z**3 + (-z**2 - z + z)*(-1 + 1 + 2*z) + z - z - z**3 - 10*z**3 - 2*z**3 - 5*z**3).\nAnswer: 19*z**4 + 57*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**3 + 2*m**2 - m**2 + 2*m**4 - 1 - 8*m**3 - 1 - m to the form w*m**3 + k*m + a + p*m**4 + g*m**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 75.41138 grams?\nAnswer: 75411380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 8*p + 18. What is t(-11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - -2 - (-33 - -47) - (-3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -23*k**3 + 10*k**2 + 17*k - 18. Give v(-3).\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-14)\/(-21) + (-309)\/180 and -19\/26.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Solve -v*p = 9 - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*l - 196*l = 114*l - 29*l - 7174 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 16) to base 11.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 19. Give l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 7 - 19. What are the prime factors of 4\/(-2)*15\/x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 = -i - 3*x, -i - 3*x = -6. Let v = i - -12. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24288168\/911 - 26661. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 23 - 19 + f - 24 + 2*f. Let p be y(8). Sort p, 5, 0.5.\nAnswer: 0.5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -32b?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 457 - 214 = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1089.6 - 0.1\nAnswer: -1089.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 - 0.149. Let w = 0.161 - k. Let s = 0 + 1. Which is greater: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390 and 29220?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8*p - 224 = -3*g, g - 78 = -2*p. Calculate the remainder when g is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.918 - -13129.6.\nAnswer: 13130.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 32. Let a = 44 - 34. Let u be 16\/3 - a\/v. Solve 2*y = u*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*c = -7*c - 164, 4*u = 5*c + 139. Suppose 4*j - 1 = u. Suppose 0 = -5*z + j + 2. Solve 4 = v - z*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 29, 1?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1183 * -279\nAnswer: 33.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)\/(sqrt(5)*2))\/sqrt(2)*-3)**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 5, 32, 9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 2\/9, -279, -309\/53?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s + 9. Let u be (-35)\/5*(-2 + 3). Let c(t) = 14*t + 18. Let m(b) = u*r(b) + 3*c(b). What is the tens digit of m(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44.21 - -44. Let t = o - -0.209914. What is t rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18242 + 18339. Calculate the highest common factor of 13 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 8*x + 92. Let p be m(-7). Solve 16*y**2 + 2*y**3 + p + 15*y**2 + 58*y - 20*y**2 + 13*y**2 = 0 for y.\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 140 = 4*u - 4*o, 3*u - 4*o = -105. Let v = u + 57. Calculate the greatest common divisor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**4\/6 + u**2. Let g(x) be the second derivative of -1\/6*x**4 + 0*x**2 + 0 + 0*x**3 - 11*x. What is p(g(r))?\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*i**2 - 3*i + 3*i + 150*i**2 + 300*i**2.\nAnswer: 394*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - 2\/(-2)) + -12 + 13. Let u be 19\/(1083\/(-76)) + 51\/72 + 1. Which is the third smallest value? (a) s (b) u (c) -4 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -575*d + 191*d - 5 + 5 as u + r*d and give r.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -70*l**4 + 2*l**2 - 6*l + 312. Let r(o) = -140*o**4 + 5*o**2 - 15*o + 624. Let w(a) = -2*r(a) + 5*u(a). Differentiate w(i) with respect to i.\nAnswer: -280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 40 = -5*j, -3*c = 2*c - 4*j - 40. Let k = 87237 + -87237.3. Which is smaller: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 8*v - 28. Let i(z) = z - 2. Let q be i(v). What is the third derivative of 11*m**q + 227*m - 227*m - 11*m**5 wrt m?\nAnswer: -660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + y = 145, r + 0*y - y = 40. Suppose -c = 5, -2*c - r = -a + 2*c. Let d = 21 - a. Solve d = l + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6689963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*a + 76 = -0*a, 5*t = a - 168. Suppose 0 = -3*k + 3, -4*d - k = k - 98. Let v = t + d. Is v at most as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 901583985 to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 1530*q**2 - 11 - 2472*q**2 + 28 to the form i*q**2 + t*q + w and give i.\nAnswer: -4002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (1 + -27 + (17 - (18 - 9)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.3137 + 7.9137. Let k = -0.9 - -1.9. Which is the closest to k? (a) -0.3 (b) 9\/2 (c) f (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -56, -125, -222, -347, -500?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(171)*1 - (sqrt(171) + -1 + -3))**2.\nAnswer: -168*sqrt(19) + 8395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence neb when three letters picked without replacement from {e: 1, l: 3, q: 2, b: 1, n: 3, a: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -13*j**3 + j**2 - 5*j - 93. Let d(p) = -p**2 + 3*p. Let s(m) = -d(m) - w(m). What is the derivative of s(x) wrt x?\nAnswer: 39*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 102*h**2 + 386*h - 164. Let x be q(-98). Solve -434 = 10*r - x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*t**4 - 45*t**4 + 77*t**4)*(8*t - 44*t + 0*t).\nAnswer: -3132*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -407176 divided by -1.\nAnswer: 407176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -63. Suppose 5*w + 3*t + 3 = 70, -3*w - t + x = 0. Solve o + r = -4*o - 7, -o - 5*r - w = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 142363 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122)\/(-427) + (-32)\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v**2 + 2*v + 3. Is z(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -744, -1117, -1490?\nAnswer: -1863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(17) + 4) + -1*sqrt(136)\/sqrt(8))**2.\nAnswer: 336*sqrt(17) + 1409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u + 2. Let a = 0 - u. Put -1, -4, a in increasing order.\nAnswer: -4, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(3*v - 3*v - 2*v**4) - 19*v**4 - 177*v**4 - 99*v**4 to y*v**4 + h*v**2 + c*v + d + x*v**3 and give y.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 0.1 (b) 1 (c) 0 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 677197180 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 416, 834, 1252, 1670, 2088?\n\"Answer: 418*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -215863*f*q*u**3 - 376*f*u**3 + 54*f + u**3 wrt q?\nAnswer: -215863*f*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1009237 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 26?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 330402103 - 10?\nAnswer: 330402043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53366 less than 53366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 177254969, 177254970, 177254971, 177254972, 177254973, 177254974?\n\"Answer: k + 177254968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/473 + -4772\/3311. Let w = o + -1\/14. Let q = 0.4 + -2.4. Which is the smallest value? (a) 0.2 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*d - 196*d = -182. Calculate the greatest common divisor of d and 260.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -192*y**3 - 244 wrt y?\nAnswer: -576*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 172 - 88. Calculate the greatest common divisor of 36 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 5:24 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 + 3*r + 6 - r + 22 in the form c + a*r and give c.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + l + 2. Let u be s(0). Let j be (-16)\/(-12)*u\/(-8). Let y be -1*4\/36*-6. Which is the nearest to y? (a) j (b) 4 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1766, -2590, -3386, -4142, -4846, -5486?\n\"Answer: 2*s**3 + 2*s**2 - 844*s - 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 600 = 15*s. Suppose 3*n - s = -7*n. What is the remainder when 134 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 4) + -3 + -3 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21d116 (base 16) to base 3.\nAnswer: 11011121002000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = b - 3*b. Let q = 27\/16 + -307\/144. What is the closest to 2 in b, 1\/2, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(2\/(-1)))\/((15067\/(-14152))\/247).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/3745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 11*k**2 + 10*k + 1. Let s be g(-10). Let v = s + -1. Solve -4 = -v*c + 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9409*-6.832.\nAnswer: 64282.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (293 - -4) + -1 + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8895 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 f = -1188 + 1874. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103798990 rounded to the nearest 100000?\nAnswer: 103800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/6)\/(32\/24))\/35?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 927 = 738. Suppose 6*q = 141 + s. Let y(f) = -f**3 + 6*f**2 + 5*f - 3. What is the remainder when q is divided by y(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5\/5 - 1779*i**4 - 299337*i**3\/5 - 1099581*i**2\/5 - 1336716*i\/5 - 105516 = 0.\nAnswer: -2931, -30, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -458 divided by 65\nAnswer: -458\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 39 = -3*i, 3*c + 0*i - 21 = 3*i. Suppose -3*t - c = -6*t. Suppose t*h - 8 = 2*h. What is the remainder when h is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 6 - 8. Suppose 0 = -x*i + 2*i. Suppose 6*n - 144 = -i*n. Calculate the greatest common factor of 36 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 6 = -s, -5 - 7 = 4*z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-3)*(-14 + -631). Suppose 5*g = 7*t - 5*t + u, -2*g + 247 = -3*t. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -174.12 and -6818920?\nAnswer: 6818745.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5615204161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 33 * -1330\nAnswer: -43890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 10. Factor -g**3 - 4*g + 8 + 5*g**3 - 2*g**4 - p.\nAnswer: -2*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i + 94. Let u(q) = -2*q + 96. What is d(b) - 4*u(b)?\nAnswer: 3*b - 290","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1813 - -1808. What is the fourth smallest value in 0.13, w, -0.4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 683872 and 5719.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -711*k - 622 wrt k.\nAnswer: -711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 661636*v**2 - 661640*v.\nAnswer: 4*v*(v - 165410)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 582766 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*p + 8 = 0, -23 = n - 5*n - 3*p. Suppose 0 = -6*c + c - 4*u + 124, -4*c + n*u = -132. Suppose -c = -z - z. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 56*t**3 + 34*t + 30*t**4 + 50*t**2 - 82*t - 52*t**4 - 60*t + 24*t**4 = 0.\nAnswer: -27, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 26*p**3 - 2*p**2 - 988*p - 16. Let o(y) = 8*y**3 - y**2 - 334*y - 5. What is 16*o(t) - 5*z(t)?\nAnswer: -2*t**3 - 6*t**2 - 404*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23\/100 - 649\/50. Find the common denominator of t and -107\/1742.\nAnswer: 3484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - -4204?\nAnswer: 41e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (148 - 157) + -1 + 1 + 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 931.808 years in decades?\nAnswer: 93.1808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*k*l**4 + 11*c*k*l**3 - 4*c*k*l**2 + c*k*l + 13*c*l**2 + 4*k*l**3 - 2*k*l wrt l?\nAnswer: 48*c*k*l + 66*c*k + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24\/11 + -61\/33. Let c = 1397\/3 + -466. Let a = 137 + -139. What is the nearest to c in 3\/8, k, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*(-46)\/23*(49920\/13)\/40.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.1887425ns to days.\nAnswer: 0.00000000000001375859375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7278795?\nAnswer: 3, 5, 53917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, u: 3, l: 3}. Give prob of sequence uuu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**4\/7 + 4*a**3 + 16*a**2\/7 - 16*a = 0 for a.\nAnswer: -2, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1819664 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 13682096.89 to the nearest 1000.\nAnswer: 13682000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*h = -h - 12, 3*h = -3*w - 18. Let j be -1*(-5 - w - 0). Factor -j + 4 - 2 - 4*z - 10*z**2.\nAnswer: -2*z*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833144807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 5 - (-15 - (4 + -8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086660?\nAnswer: 2, 3, 5, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36585 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*s + 25. Suppose -17*g + 259 - 225 = 0. Solve -3*u = g*p - 2*u - 2, 5*p = 5*u - s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178c2 (base 14) in base 15?\nAnswer: 128c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkm when three letters picked without replacement from kwmkmzwwwmmwkzm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -14. Let f(h) = -h - 2 + 2*h + 1. Let j be f(y). Solve 5*u - j = 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 43, -4\/7, -0.092802?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17175998*k**2*y**4 + 25*k**2*y + 107922*k + 2*y**2 wrt y?\nAnswer: -412223952*k**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -43*v**3\/3 + 15*v**2 - 67*v. What are the prime factors of k(-11)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1260 divided by 252.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-64)\/(-10) + (-8)\/20. Let o(r) = -r**3 + 7*r**2 - 9*r + 9. Let y be o(f). Is y bigger than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b**3*j*k*o - 94*b**3*j*o - 9*b**3*j + 3598*b**2*j*k + 2*b*j + 2*j*k*o wrt o?\nAnswer: 4*b**3*j*k - 94*b**3*j + 2*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32311 - -1230?\nAnswer: 100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3424*t - 332 + 68 = -3419*t + 6831*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 7.4, -0.1, 20826?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1238 - 1236 - 5*(-2)\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8344\/196 - ((-6 - -10) + 6))\/((-12)\/42)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - l + 7, h - 5*h + 3*l + 31 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-7 - -2))\/(115\/(-15) + 6).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0.086, 0.4, 0.\nAnswer: -5, -3, 0, 0.086, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -1\/11, -0.1, -6\/11, -6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**(-48) assuming a is positive.\nAnswer: a**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.482 - 10.82?\nAnswer: -13.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-11))\/(-1) - 2. Let m = -102 - -87.1. Let j = m + 15. Which is the smallest value? (a) y (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18949 - -18949.5. Sort 3\/10, 1\/10, 8\/3, v in increasing order.\nAnswer: 1\/10, 3\/10, v, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - -5) + (5 + -46 - 42)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 - (206 - (113 + -163))?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.902 + 4.802. What is the closest to r in -4\/29, 6, 3?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11935 divided by -77\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + 46*p + 161. Let n be c(26). Let j = -5 - -19. Find the first derivative of 15 + j*m - n*m + m wrt m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 76?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 25*r - 34. Let u(n) = -33*n + 33. Let t(x) = 4*k(x) + 3*u(x). Let w(j) = -18*j**2. What is t(w(i))?\nAnswer: -18*i**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -5\/11 (c) -0.073 (d) -2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399178503?\nAnswer: 3, 43, 343823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*q - q - 5*q + 4*q + (-3 + 0 + 0)*(-2*q - 2*q + 6*q) + 10 + 3*q - 10.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-91 + 990)*(-1 - -2). Let d = q - 898. Calculate the highest common factor of d and 54.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/24 and -79\/925602.\nAnswer: 3702408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -2347121?\nAnswer: -2347121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4 + 28*j + 2 - 29*j. Let r be t(0). What is the third derivative of 33*n**6 - n**2 - 28*n**r - 3*n**2 wrt n?\nAnswer: 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.4 + -0.4. Let r = -0.33 + -0.17. Which is the smallest value? (a) y (b) r (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -235*v**3 + 4*v**2 + 247*v**3 - 2*v**2 + 2 in the form y + b*v**3 + s*v**2 + n*v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*f + 10167 - 5481 = 0. Suppose -49 = -4*h + x, 4*h + 4*x - 46 = 2*x. What is the remainder when f is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/7 (b) 6 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8*v**3 - v**2 - 2*v. Let j be x(-1). Let p = j - 5. Solve 10 = -p*h - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -230*r + 274. Let d be m(4). Let j = 646 + d. Suppose 26 = 2*t - 5*g, -t + g = -2*t - 1. Solve j = -c - t*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k. Let j(i) = -108255*i. Calculate j(g(n)).\nAnswer: -108255*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**4 + 4*z**3 + 2*z**2 - 4*z. Let d = 65 - 62. Let h(q) = 8*q - 6*q - q**4 + q**d + q**2 - 3*q. Let x(i) = 3*h(i) - t(i). Factor x(n).\nAnswer: -n*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhxxxxxxxhxxxh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18570?\nAnswer: 2, 3, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**5\/20 + f**4\/6 + 5*f**3\/6 - 3*f**2\/2 + 2*f. Let b be w(3). Let h(s) = -2*s - 1. Calculate h(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 637*f**2 - 1 - 3*f + 0*f + 5*f**4 - 634*f**2 + f wrt f.\nAnswer: 60*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26348064 a multiple of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 850 - 843. Suppose -k*r - 19*r + 260 = 0. Suppose -y - h = -4, 5*y = 4*y - 5*h + 12. Solve 3*n - r = -y*m, -2*n + 5*m = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 2, h: 4, d: 5}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1682 - 384. What is the common denominator of (r\/24)\/(-11) - 6\/(-9) and -173\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 6588 + 17808 = 0. List the prime factors of r.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.1. Let f = 154\/45 + -16\/5. Let o = -0.19 - -0.69. Which is the nearest to -0.1? (a) v (b) f (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9528 and 4764?\nAnswer: 9528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 446554794\/19 - 23493736. Let g = b - 9150. Which is greater: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, v: 11}. What is prob of sequence vvvv?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 5*t + 23, -165*k + 164*k - 3*t = -13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 143220910*w**5 + 2*w**4 + 1179*w**2 - 157*w + 61 wrt w?\nAnswer: 8593254600*w**2 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1003*j**2 + 194*j + 1001*j**2 + 121*j - 2005*j**2 to y*j**2 + r + q*j and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 5. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -5. Let p be -3 + (-2 - -6) + j. Suppose -4*x - l + 318 = 0, 0*l + 4*l - 152 = -p*x. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.07 + 0.07. Suppose 2*h - 2*z - 21 + 7 = 0, -4*h + 22 = -5*z. Which is the nearest to -0.1? (a) h (b) q (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/((-4928)\/1788)*(-1 - 3). Let m = 40\/7 - y. Let z = -2 - -3. Are m and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 98 - 17*h**2 + 130*h**2 - 101 + 27*h**2 + 15*h**2 as p + x*h + l*h**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -21. What is the smallest common multiple of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -783.388 + 783. Let k = -3.388 - u. Which is the third biggest value? (a) k (b) -1 (c) -2 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -0.9. Let g = -3 - -2. Let s = g + 2. What is the nearest to -0.1 in -0.4, w, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1365075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 931.1 centuries to years.\nAnswer: 93110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1797442, -1797428, -1797404, -1797370, -1797326, -1797272, -1797208?\nAnswer: -1797134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2432986386?\nAnswer: 2, 3, 405497731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**4\/2 - 28*r**3\/3 - 19*r**2 - 9*r. Give l(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 437 = 2*h, 5*k = 4*h - 796 + 67. Sort -4, k, 4, -3 in increasing order.\nAnswer: k, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 402, 617, 838, 1065, 1298?\nAnswer: 1537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(833) + 2)*-5*-4.\nAnswer: 140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*f + 20 = -104*f. Suppose -21 = -5*w + 49. Let i = w + f. Solve i = 2*t, -5*t = -3*q + 2*q - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 2*f - 2. Let a(o) = 154*o**3 - 5*o - 4. Let z(j) = a(j) - 2*g(j). What is the second derivative of z(n) wrt n?\nAnswer: 912*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82949\/16 + 5182. Find the common denominator of d and 237\/(-24)*2\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -969*i + 13. What is x(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50892 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3141 - -3153.6. Let x = 0.05 + 6.35. Let t = x - v. Round t to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 5*c - 5*v + 35, -3*v + 9 = 0. Let w = -18 + c. Solve -2*b = -3*z - 6, w*z - 3*z - 3*b - 6 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28\/3, 0.02, -1 in increasing order.\nAnswer: -1, 0.02, 28\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 9*m**2 + 8*m - 10. Let y be j(-8). Does 8 divide 122\/5 + y\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2022655 (base 7) to base 12\nAnswer: -b7654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**5 + 3*o**5 - o**5 - o**5 + 3*o**5 - 4*o**5 + (0*o**2 + 4*o**2 - 3*o**2)*(4 - 4 + o**3) - o**5 - 2*o + 2*o + 10*o**5 + 2*o**5 - 2*o**5.\nAnswer: 13*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*i = 30919964 - 30929288 for i.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29167037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.09 + 14. Let a = 2 + d. Let f = a - -0.09. What is the second biggest value in f, -0.3, -5\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576137328 - 502662672 = -12*q. Suppose 0 = -2*y - 3*y + q. What is y rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q = -36*q + 29766. Find h, given that 590*h - 13*h**2 - q + 7*h**2 + 9883 + h**2 - 12405 = 0.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 + 207. Let x be ((-1)\/(-3))\/(275\/d + -2). Are -2 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + b = 1008. Let h be (1\/2)\/(7\/b). Put 3, -5, h in increasing order.\nAnswer: -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/5)\/2*3410\/(-682).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -5, 1\/15, 3\/10, 0.4?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1735.\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (187*v + 283 - 282 + 76*v)*((3 - 3 - 1)*(1 + 3 - 6) + 2 + 0 - 3) - 2*v - 2*v + 2*v.\nAnswer: 261*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -a + 23, -a - 2*l = -4*a + 34. What is the greatest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -4 - (-113 + 38)) + 7 - 14?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - d + d)*(11 + 4 + 0).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4 + 128*j**3 - 1140*j**2 + 1800*j = 0. What is j?\nAnswer: 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 14*s - 26. Let p = -586 + 594. What is the remainder when 80 is divided by g(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -996093?\nAnswer: -996097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -5*i**2\/2 - 2. Let l(x) = 6 - 6*x - 4 - 7 + 2 + x**3 - 5*x**2. Let o be l(6). Determine f(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(-1\/3))\/v*v)\/v)**(1\/6)\/(v**(-2\/7))**(-37))**11 assuming v is positive.\nAnswer: v**(-14729\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r - 6. Let w be k(4). Suppose -n - 2 = 0, 2*f + w = 4*f + n. Solve 0 = -0*c - 4*c + f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 37*b = -13767. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 6*s**2 + 8*s + 20. Let u be r(-5). Let z(g) = -g**3 + 4*g**2 + 4*g + 6. Give z(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/41)*c\/(c*(c\/(((c**(-11)\/c)\/c)\/c))\/c)*c**(8\/9)\/c*c*(c\/(c**(-2\/31)\/c)*c)\/c assuming c is positive.\nAnswer: c**(-126920\/11439)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*h + 1)*(-3 + 0 + 5)*(-2 - 2 + 0).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**4\/2 - c**2\/2 + 2*c. Let b be l(1). Suppose -4*m = -4*d + 4, -b*d + 17 + 9 = 2*m. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(23\/9 - -16*24\/864)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0, -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j**2. Let c(v) = -380031*v. Give l(c(k)).\nAnswer: -577694243844*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2122b6 + -6?\nAnswer: -2122bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 1\/120*d**6 + 0 + 0*d**3 + 0*d - 1\/12*d**5 + 52*d**2 + 1\/6*d**4. Find b, given that g(b) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 3413, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 15) to base 7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 12*j - 19. Suppose 0 = 4*q + 3*q - 14. Let k be n(q). Solve k*g - 1 = 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v**3 - v**2 - 4*v - 6. Is s(3) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 2*j + 10 - 34, -2*h + 4 = -5*j + 7 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*i. Suppose i = 3*q - 65 + 11. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 9*n + 3*n)*(3*n + 2*n - 3*n) + 3*n + 0*n + n**2 + n.\nAnswer: -9*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 226 - -169. Suppose -6*a + 3*a + p = -2*u, 3*a + 2*u = 403. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, a: 1, r: 2, u: 1}. What is prob of picking 1 y and 1 r?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 24*d + 1. Let x be -1 + 1 + -6 + 9. Let w = 4 - x. What is the remainder when j(w) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 30009 in descending order.\nAnswer: 30009, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3512 (base 7) in base 16?\nAnswer: -503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 7*h + 5. Let y be d(7). Let o(m) = -4*m**3 - m**2 - 2*m + 5. Let k be o(y). Round k to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*k - 44 + 122 = 0, 5*i - 2*k = -127. Let x = 951\/2 - 476. Which is the smallest value? (a) i (b) -2\/11 (c) -4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcdcjmcmcdjzccd. Give prob of picking 1 j and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27887 + 27923. What is the remainder when 1656 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 - 57. What is the remainder when m is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/98 or -0.07?\nAnswer: -31\/98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - 1 - (-30)\/(-15). Solve -m + 31 = 5*y + 11, -u*m + 2*y + 4 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*m**2 + 143915*m + 95950.\nAnswer: -5*(m - 9595)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -3, -5, 6, 17, -29.\nAnswer: -29, -5, -3, 6, 17, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -96 + -29?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -42. Suppose l*g - 4 = 4*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 464264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.88 in -1, -0.4, 0, 47\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 16. Suppose -1 = -r - 2*r + s, 0 = 2*s + m. Is 13*(-2 + 1)*r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001225180934 rounded to six decimal places?\nAnswer: 0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 31 - 213 - y)*(-3 + 3 + 1).\nAnswer: -y - 201","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s - 3. Calculate l(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9914*l**2 + l**4 + 21*l**3 - 1 - 9918*l**2 - 2*l + 32*l**3 to a*l + q*l**3 + c*l**4 + k*l**2 + j and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t + 20 = 0. Let r = 38972 + -38977. Put r, t, -2 in descending order.\nAnswer: t, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 263291999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 27. Which is the nearest to y? (a) -0.4 (b) -0.1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-36)\/8) + -1. Let k = 1 + -1.3. Which is the nearest to 2? (a) d (b) 1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 348*g**3 + 31*g**2 - 15*g + 50. Is 88 a factor of s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 332 = -43*c - 47*c + 94*c, -45*c = -5*m + 3490 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -9, 35, 117, 249, 443?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 28*o - 3429. What is w(134)?\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (1 - 1) - 2*-53. Let q = g - 47. Calculate the highest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**5\/20 + k**4\/12 - k**3\/6 - k**2\/2 - 4*k + 6. Solve o(v) = 0 for v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*(b*b**(-1\/4)*b)\/b)**(-30)\/(b**2\/(b\/(b*(b*b**12)\/b)*b)) assuming b is positive.\nAnswer: b**(-251\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 844754\/103 + -8201. What is the common denominator of o and -93\/4?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8910 = -18*s + 36*s. Let v = 498 + s. Solve -v*t = -2*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = 3*c. Suppose -5*s = -0*s, -c*i + 120 = -2*s. Let m = -16 + i. What is the highest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 6*h - 36 = 0. Solve -3*q + 24 = q + h*j, 5*q - 19 = -j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1151*z**2 + 1620*z**2 + 8274*z**2 + 3486*z**2 - 569*z**2.\nAnswer: 13962*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 + -0.98. Let y = 1 + -1. Suppose -g - 5*j = -0*j + 13, y = -4*g + j + 11. Are k and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 - 1 + 11*k**2 - 3)*(4*k - 4*k - k**2).\nAnswer: -6*k**4 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289, 472, 669, 886, 1129, 1404, 1717, 2074?\nAnswer: 2481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 10*q**2 + 2*q + 22. Let t be f(-10). Let y be t*-1*14\/(-28). Solve y + 11 = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 13 + -4 - -19) + 29 + -37\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g - 2. Let u be 1*(-4 + 2\/2). Calculate the remainder when 36 is divided by i(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/366 and 1\/46911623?\nAnswer: 281469738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from brwtw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 28*t - 7. Let w(u) = 2*u**3 - 57*u - 15. Determine -11*f(k) + 6*w(k).\nAnswer: k**3 - 34*k - 13","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhdhdddddddddddddhdh. What is prob of sequence hhhd?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.131 + -0.131. Let q = 4.05 + -0.05. Put y, 1\/7, q in decreasing order.\nAnswer: q, 1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 + i**4 + 5*i**4 + 0*i**2 + 0*i**2 + 2*i**4 + (-3 + 3 - i**2)*(3*i**2 - 3*i**2 - 2*i**2) - i + i + i**4 + 2*i**4 + 1 - 1.\nAnswer: 13*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 6*l**2 + 243*l + 3*l**2 + l**2.\nAnswer: -5*l**2 + 243*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9250\/740*8\/(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(39)\/sqrt(3)*4.\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14667184182271 + 4\nAnswer: 14667184182275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118857 - 118856.7. Let w be 2\/6 - (-2)\/30. Let c = -32 - -226\/7. Sort i, w, c in decreasing order.\nAnswer: w, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w + 44 = 0. Let m = w + -6. Suppose 2*i = -j + 7, 2*j = -m*i + 2 + 16. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1120\/24149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4261700 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (-4 + 5 - 7 - -16)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/3*(-2 - -7). Let g = 0.06 + -0.86. Let f = g + -0.2. Which is the second smallest value? (a) 0.4 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 9:12 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296*x + 143*x + 28782 = -150*x. What is the thousands digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290787 divided by -3.\nAnswer: -96929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 46*y**2 + 100*y - 197. Let g be d(48). What is the smallest value in g, -3, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-1*sqrt(242)*5 - sqrt(242))\/sqrt(11))\/((-2*2*sqrt(6) + sqrt(6))\/sqrt(3)))*3.\nAnswer: 3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lvllllvvvlvllvvl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 63625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*d**2 + 30*d**2 - 3927*d + 3929*d + (2*d - 4*d + 6*d)*(4 - 2*d - 4).\nAnswer: 40*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 21 = -4*t + 3*x, -20 = 5*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -865 + 868. Let m(b) = -1. Let a(p) = -p. Give d*a(o) - m(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 787774 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 4, 0, 7, 1762.98?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 35686712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - 1593\/(-18). What is the greatest common divisor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8240b (base 14) to base 12\nAnswer: 1315a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 + 8*f**2 + 6*f. Let w be b(6). Let t = 543\/5 + w. Sort 1\/2, t, 3, 0.4 in descending order.\nAnswer: 3, t, 1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1850\/(-26)*(-6)\/(-42). Let y = 69\/13 + r. Find the common denominator of y and -1\/23.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*r - 52 = 0, 0 = -4*d + r - 31 - 4. What is the units digit of (((-206)\/d)\/(-1))\/(10\/(-40))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90782*g**3 - 45345*g**3 - 45432*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**5\/60 - r**4\/24 - r**3\/6 - r**2 - 2*r. Let n(k) be the first derivative of j(k). Let y be 2\/((-12)\/9 - -2). Give n(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 5*b**2 + 4*b - 1. Let i be (8\/(-5))\/2*(12 + -17). Determine j(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 2. Let t = x + 7. Let c = 3.5833 - -0.4167. Put t, -2\/7, c, -1\/2 in increasing order.\nAnswer: -1\/2, -2\/7, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(45\/38)*-5 and -2\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 11:45 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from {q: 1, l: 3, u: 7, d: 1, j: 7}.\nAnswer: 49\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/8132 and 79\/170.\nAnswer: 691220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyxyyxeetees. What is prob of picking 1 y and 1 e?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934295.\nAnswer: 5, 186859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1144, -9, 0, -3.\nAnswer: -9, -3, 0, 1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p**2 + 133*p - 18. Does 46 divide b(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9656891514 rounded to three decimal places?\nAnswer: 0.966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n - 4*f + 12 = -29*n, 0 = -2*n + f - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2815115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/8)\/(1\/(-4)). Let c be (2\/i)\/((-4)\/40). Let h = -672 + 677. What is the third smallest value in h, -5, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**2 + f - 31. Let o(z) = -6*z - 3. Let c be 2\/4 - 9\/2. What is c*o(n) - 11*v(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -8. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5974016 nanometers to micrometers.\nAnswer: 0.0005974016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 14. Suppose 0*i - 5*i = 0. What is the closest to 1 in i, u, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/2 at most as big as 2970\/4159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*o - 52520, 0 = 2*o + 4*t - 5182 - 29830. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 200 + -134. Put a, -2, 1 in ascending order.\nAnswer: -2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1700849, -3401696, -5102543?\n\"Answer: -1700847*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -16*d + 4. Let z(g) = -5*g + 1. Let k(s) = 6*h(s) - 17*z(s). Let f be k(4). Let p be f\/95 - (-12)\/20. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2192\/6039 + 4\/6039. Factor -12\/11*h - 13\/11*h**2 - l - 1\/11*h**4 - 6\/11*h**3.\nAnswer: -(h + 1)**2*(h + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8659 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.891 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/3 - 4*f - 480 = 0 for f.\nAnswer: -24, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -862257 (base 10) to base 3.\nAnswer: -1121210210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*6\/99 + (-4)\/(-22). Suppose 3*s = -k + 581, 5*s + d*s - 4*k - 957 = 0. List the prime factors of s.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57785)\/4550 - ((-106)\/(-20) + -5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29344 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-1))\/(1\/(-9)). Let j = h + 12. Suppose 0 = t + 2*f - 40 - 7, 133 = j*t - 2*f. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24715 from 0.38.\nAnswer: -24714.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1103\/(-5) - 0)\/(79\/(-395)). Suppose v - 277 = 2*t - c, -2*v - 1237 = -3*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98\/3 - (-2)\/(-3) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20022100100122 + -122?\nAnswer: -20022100101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 199 (base 10) to base 8\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4\/5, 1\/9, -7353730.\nAnswer: -7353730, -1, 1\/9, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 266, 277, 290, 305, 322, 341, 362?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 88*f**2 + 172*f - 206. Determine o(-86).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14614*b + 152 = -14606*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*v**3 + 3*v**3 - 93*v + 103*v wrt v.\nAnswer: 90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 = 108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 320235*o**5 + 286659*o wrt o?\nAnswer: 6404700*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 180 - -52. Let o = f + -231.9999412. What is o rounded to 6 dps?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(26)\/(sqrt(96)\/sqrt(3) + sqrt(2)) + (sqrt(104)\/sqrt(8)*-3 + sqrt(13) - (-1*sqrt(156))\/sqrt(12)) + -4)**2.\nAnswer: 208\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 9 = -5*k, -3 = 29961*o - 29958*o - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*n + 1388975 - 1389375 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1294*r - 6466. Let b be f(-5). Solve y = -b*v - 1, -14*v + 9*v + 1 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 0 = -5*g + 3*x, -5*g - 2*x = -1. Let a(b) = 10*b**2 + b - 5. Let v(r) = 3*r + 11*r**2 - r - 6 - r. Let j(z) = -6*a(z) + 5*v(z). Give j(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5372 - -5373. Let u(h) = -28*h - 6. Let i(q) = q + 1. Determine j*u(y) + 4*i(y).\nAnswer: -24*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d - 58 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14 - 252\/14)\/(-20). What is the smallest value in 0, -2\/15, -14, j, 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1033773 millilitres in litres?\nAnswer: 0.0001033773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -202500*i**5 - 83223900*i**4 + 170364584*i**3 + 666051024*i**2 - 11881056*i + 52864 = 0?\nAnswer: -413, -2, 2\/225, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -130*s - 2. Let k be o(2). Let v(r) = 107*r**2 + 3*r - 1. Let i be v(-2). Let f = i + k. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 1 + 9. Let n = -7 - -9. Solve n*a - 8 = -h*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**2\/3 + 944705*a + 5668210\/3 = 0. Calculate a.\nAnswer: -566821, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-230)\/(-575)*(-2620)\/8\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuq when three letters picked without replacement from {q: 2, u: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -125380 in -2, -32, 0.5, 0.1?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70677 + -13711439\/194. Calculate the common denominator of -3 + 4\/(40\/47) and b.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -170.5 - -170.4. Which is the nearest to s? (a) -1\/4 (b) -122 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 + 99. Which is bigger: 37 or y?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 14*h + 13. Let w be n(13). Let r(f) be the first derivative of 0*f**2 - 2 + w*f - 2\/3*f**3. Let v(g) = -g. Calculate r(v(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -54, -127, -216, -315, -418, -519?\n\"Answer: o**3 - 14*o**2 - 38*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -99 + 52 + 46 + 19*l. Give g(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 215 by 3192.\nAnswer: 215\/3192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 762*i - 134177. Calculate u(-512).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(2\/(-1)) + 0\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1290 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 4*h**2 - 2*h + 2. Let x be a(3). What is the third derivative of -6*d**2 - 5*d**x + 3*d**5 + 2*d**2 wrt d?\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2 + 2*a - 6. Calculate the least common multiple of d(-3) and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441) + 3*2*sqrt(441))\/(sqrt(99)\/(sqrt(11) + sqrt(11)*1)))\/((sqrt(224) + -1*sqrt(224) - sqrt(56))\/(1*sqrt(32))) + -2.\nAnswer: -28*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -74320 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4816 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 0.4, 21, 4\/5.\nAnswer: -5, 0.4, 4\/5, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38824077 a multiple of 393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6621b (base 12) to base 16.\nAnswer: 20fb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 218852 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/13 - 44*r\/13 - 242\/13.\nAnswer: -2*(r + 11)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-170)*2265624\/(-233226).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 10) to base 2\nAnswer: -1001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.4 - -1.4. Put 2\/5, h, 11 in decreasing order.\nAnswer: 11, 2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-48)\/144*(-26)\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1182 + 1239. What is the smallest common multiple of 10 and h?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**5\/4 + 605*d**4 - 1503125*d**3\/4 + 22710545*d**2\/2 + 439071720*d + 2971743912 = 0.\nAnswer: -12, 58, 1193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -21*j + 31. Let c = 62 + -29. What is the least common multiple of c and j?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(77) + sqrt(77))*-3)\/(2*sqrt(63) - sqrt(7)))**2.\nAnswer: 891\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5 + 1040*o**4 - 4173*o**3 + 3132*o**2 = 0. What is o?\nAnswer: -1044, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -199*u**3 + 15*u**2 + 84*u + 134. What is the hundreds digit of p(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/15624 and -13\/26257?\nAnswer: 1890504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106909 + 1099. Suppose -2*q - 2*a = -216004, 7*q - 6*q - f = -4*a. What is q rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 493 = -2*q, 212*q - 217*q = m - 1173. What is the remainder when q is divided by 235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -30*h**3 + h**2 + h. Let s be d(-1). Let w = 30 - s. Suppose w = -4*p - p + 425. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5111\/310 + 2\/155. Let i = h - 17. Let l be (3 + (0 - 2))*-2. Is l greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a = -120. Suppose 2*n - n = a. Suppose -3*f + n = -f. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4866, 4325, 2726, -501, -5926, -14119, -25650?\n\"Answer: -95*k**3 + 41*k**2 + k + 4919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10888, 21900, 33146, 44740, 56796, 69428, 82750?\n\"Answer: 19*p**3 + 3*p**2 + 10870*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 15*h - 28*h + 59, -h = -5. Sort 1, -144, n in descending order.\nAnswer: 1, n, -144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5) - 223\/(-5). Suppose 504 = p*n - 42*n. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4688227 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-1)*u*u)\/u)\/u*u)**(-39)*u**(-1\/6)\/(u*u**(4\/7)*u*u)*u\/(u*u*u**7*u)*u*((u\/(u\/(u\/u**(-4\/7))))\/u)\/u*(u**(-2))**(-17) assuming u is positive.\nAnswer: u**(-103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**5 + 2*r**4 - 4104*r**3 + 48907*r**2 wrt r?\nAnswer: 60*r**2 + 48*r - 24624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 552?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z - 212. Give d(30).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -8\/5, 10, -6, -292?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 - -0.19. Let k = -0.1 - p. Let m be (-2 + 63\/36)\/((-9)\/8). What is the second smallest value in k, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28655 by 1907.\nAnswer: -28655\/1907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13810912 divided by 8?\nAnswer: 1726364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 7. Let z = v - -7. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/8)\/((-420)\/336). Let s be (2\/(-3))\/(2\/(-6)). Suppose 0*d - s*d = 0. Is d less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 729423 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 3. Suppose -5*f - i*q + 5 = 0, 2*f - 4*q = -f - 25. Let w(z) = z**2 + z. What is w(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 + 193*j**4 - 190*j**4 - 30 + 5 + (-2*j**2 + 0*j**2 + 0*j**2)*(-4*j + 4*j + j**2) + j**4 + 5*j - 5*j + j**4 - 4*j**4 + 2*j**4.\nAnswer: j**4 + 2*j**3 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 1 - 1)*(2 + 11*t - 26*t + 10*t) + 2*t**2 + 0 + 0 + (3*t - t - 6*t)*(-3 - 3*t + 3).\nAnswer: 9*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/2*(-3 + 238\/98). Suppose -3*y = 2*n - 29, -2*n + 17 = -3*y + 2*y. Suppose q*m + 5*o - n = 8, 3*m - 2*o = 8. Solve -5 = -m*g + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -7*l**5\/24 + 5*l**4\/4 + 48*l**2. Find b such that u(b) = 0.\nAnswer: 0, 12\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.006 + 14.006. Let h = r + -10. Which is the third biggest value? (a) 2 (b) 6 (c) h (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 387*x + 23220. Determine o(-60).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4880083111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4142 minus -287?\nAnswer: -3855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -39. Solve f*h - 12 = 8*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13856351\/110 + -125968. Calculate the common denominator of -47\/110 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - ((2 - 3) + 2). Let f = 82 - 98. Let w = t - f. What is the biggest value in -0.3, w, 5, 2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 3. Suppose -c + l + 3 = 2*n, 4*n - 18 = c. Let g(f) = -14*f + 131. Let v be g(9). Solve 0 = -m + q + 4, 9 = -v*m - n*q + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 11*g - 22. Suppose 11 - 41 = 3*f. Let m be s(f). Let l(o) = o + 15. Let q be l(m). Solve -11 - 1 = -q*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = b - 2 - 0, -2*p = -2*b + 4. Solve -3*q + 16 = 2*q - 3*o, 0 = -b*q + o + 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 891*n - 454*n + 142*n**2 - 420*n to k*n**2 + u + j*n and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhu when three letters picked without replacement from {h: 3, n: 2, u: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-7)*a)**(-27) assuming a is positive.\nAnswer: a**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.031 and 204613.\nAnswer: 204613.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 41 + 115 = 0. Let r = 42 - o. Solve 5 = -r*m - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*g - 1043, 5*g - 4*h - 497 = 554. Calculate the highest common divisor of 23 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**3 - 84696*t**2 - 448422960*t - 896507168 = 0.\nAnswer: -10586, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-1)\/55)\/((-14)\/(-35)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 c, and 1 m when three letters picked without replacement from {p: 5, y: 1, n: 2, c: 3, t: 1, m: 1}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 7 + 7. Let p be a\/7 + 62\/(-168). What is the biggest value in -5, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/11 + 203026*h\/11 - 101524.\nAnswer: 2*(h + 50762)*(2*h - 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2875\/2 or -1439?\nAnswer: -2875\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = g + 7*i, 2*g - 2*i - 56 + 48 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 16572*n - 99682. What is g(6)?\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(325) + sqrt(325)*2)**2 - (1 + (sqrt(325) - (1 + sqrt(325))))) + (-4*((-2 + sqrt(325) + -2 - sqrt(325)) + -4))**2.\nAnswer: 9799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 4*p**2 - 2*p. Let r be l(2). Let g(x) = -x**2 + 2. Let v be g(0). Suppose -v - 2 = -r*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 = -0*s. What is the remainder when 53 is divided by 1*(52\/4 - s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-19)\/4 - -2) + 2 - (-2945)\/620. Let c(g) be the third derivative of g**6\/120 - g**5\/12 - g**4\/12 + 5*g**3\/6 + 2*g**2. What is c(j)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 920, 1827, 2734, 3641, 4548?\n\"Answer: 907*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.831878 decades to years.\nAnswer: 88.31878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {v: 1, m: 3, d: 4, z: 4, i: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 100211221222220 (base 3) in base 7?\nAnswer: 62332143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-429)*6*3410\/20?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -450 - -21030?\nAnswer: 20140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 125 + 12*r + 5*r - 21 - 15*r. List the prime factors of y(-15).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -602004 (base 7) to base 11\nAnswer: -6a312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1044, -2085, -3120, -4143, -5148, -6129, -7080?\n\"Answer: m**3 - 3*m**2 - 1039*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136260095 is divided by 5244?\nAnswer: 5243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**5 + 7*b**5 + b**5 + (2*b**5 - b**5 + b**5)*(30 - 39 - 48).\nAnswer: -102*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3807 - 0.3207. Which is the closest to -0.06? (a) 3 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {s: 1, m: 3, v: 6, a: 4, u: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, m: 13}. What is prob of picking 2 m and 1 r?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 103, 644, 2097, 4918, 9563?\n\"Answer: 76*n**3 + 9*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2028494362.\nAnswer: 2, 31, 73, 448187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 divided by -21?\nAnswer: -214\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bob when three letters picked without replacement from oiqbb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 3*x - 8*x + 8*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**7\/420 - m**6\/180 - m**5\/30 + 5*m**3 + 11. Let l(c) be the third derivative of s(c). Determine d, given that l(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k - 741 + 783. Calculate the common denominator of ((-4)\/7)\/(k + 111\/(-35)) and -97\/282.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325)*2*-6 - sqrt(325)) + -1 + sqrt(325)*-1)*-6.\nAnswer: 6 + 420*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 351*d + 348.\nAnswer: 3*(d + 1)*(d + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 15*r**2 - 18*r + 8. Let i be l(6). Calculate the greatest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 292, 540, 778, 1000, 1200?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62458227857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 1\/4, -4, -1\/6, 0.3 in descending order.\nAnswer: 31, 0.3, 1\/4, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8c (base 15) to base 3.\nAnswer: 10021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 302.1 + -302. Let h = 254 - 249. What is the fourth smallest value in h, 0.5, f, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n. Suppose -3*f + 8 = -1, g - 2*f + 2 = 0. Let r(l) = l**2 - l**2 - 7*l**2 + g*l**2. Give r(o(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -46339781.92 + 0.027\nAnswer: -46339781.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*a + 5*w, 2 = -a - 2*w + 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-1)\/(-3)))\/((-11)\/(-11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62658?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4840758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in 2, 1, 2\/15, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i - 3. Let o be (-5)\/(-3) + -1 + 8\/(-3). Determine l(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 68*m - 18 = 73*m, -p = 5*m + 21 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + v**2 + v**2)*(-1528*v**2 - 4*v**3 - 63 + 1560*v**2 + 63).\nAnswer: -4*v**5 + 32*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -13*p + 10. Let n(v) = 13*v - 9. Let f(y) = 7*n(y) + 6*r(y). Let a(u) = -u**3 + 2*u**2 + 5*u - 4. Let t be a(3). List the prime factors of f(t).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 6) to base 13.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(57)\/sqrt(3))*-2 + 1*sqrt(19)*1)**2 + -1*-6*(sqrt(1539) + 1)**2.\nAnswer: 108*sqrt(19) + 9259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1595400 divided by -531800?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 39.\nAnswer: -64\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -5 - (-11 + 8)) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -15.3?\nAnswer: 0.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 21*v**2 + 3*v + 119. Let s(l) = -11*l**2 - 3*l - 59. Let w(f) = -2*r(f) - 5*s(f). What is the hundreds digit of w(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 0)*(-326 - 334 + 23*c + 658) - 4*c + 5*c - 3*c to the form f + d*c and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/12*(-1677)\/(-172). Solve -9*j - s = -17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*h**2*o**2 - 60*g*h*i*o**3 - h**2*i*o - i*o**3 - 31*i*o**2 with respect to g.\nAnswer: 2*h**2*o**2 - 60*h*i*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16221 divided by 32978.\nAnswer: 16221\/32978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41234 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s - 1 + 1 + (s - 2*s - s)*(4 + 0 - 5)*(11 + 14 - 1)*(-1 + 2 + 2))*(0*s + s + 3*s) in the form f*s + d*s**2 + c and give d.\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1058*n**2 - 13*n - 5. Let h(l) = 529*l**2 - 6*l - 3. Let z(c) = -5*h(c) + 2*k(c). Let m be z(5). Round m to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*r**3 + 206*r**2 - 12*r.\nAnswer: -2*r*(r - 2)*(50*r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1146 - -0.34077.\nAnswer: -1145.65923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n*n\/(n*n*n\/n**(2\/7))*n*n*n*n*n)\/n)\/n*n)\/n**(4\/5))\/(n\/n**(-4\/3)*n\/n**3) assuming n is positive.\nAnswer: n**(331\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666297 is divided by 1167?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3118 + -3115. Solve 0 = -s*x + 152 - 137 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/3 - (-2140)\/(-107). Put 3\/7, -3, -16, i in decreasing order.\nAnswer: 3\/7, -3, i, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/(-108))\/((-2)\/6))\/((-18)\/126*-217)\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 17.5. Put 3\/2, i, -1\/8 in ascending order.\nAnswer: i, -1\/8, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -2*u**3\/3 + 15*u**2\/2 - 5*u - 19. Let v be m(7). What is the common denominator of 163\/30 and v\/(-20)*(-1)\/((-25)\/(-230))?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 99224*k**3 + 314*k - 628. Let g(r) = -945*r**3 - 3*r + 6. Determine -314*g(d) - 3*u(d).\nAnswer: -942*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iipo when four letters picked without replacement from qoiwopr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -38*y - 30. Determine v(-3).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.3 + 0.7. Let g = -7 - 1. Let z = g + l. What is the second biggest value in -3\/4, z, -3\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -3*x - 4*s + 15, 2*x + 3*s + 29 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence to when two letters picked without replacement from sftsgoovg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1\/10 - (-1932)\/280\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 294*j + 21609.\nAnswer: (j - 147)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 12*d + 9. Let h(x) = -26*x - 101. Let b be h(-4). Suppose -b*f + 3*y - 27 = 0, -f + y - 15 = f. What is q(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, c: 2, l: 5, w: 7, k: 1, p: 2}. Give prob of sequence fp.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((96\/(-112))\/(4\/119))\/((-264)\/352)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.2 (c) 1\/4 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(94*p**2 + 106*p**2 - 2*p + 6 - 215*p**2 - p**2 + 2*p**2 - 2*p**2 + (-2*p + 2*p - p**2)*(3 - 4 - 1) + 5*p**2 + 2*p**2 - 5*p**2).\nAnswer: -36*p**2 - 6*p + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28605 - 28425. Solve -21*p = -q + 96 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4) + 3 + -6 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2650\/14 + 6 + (-176)\/28?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/94 and 113\/190?\nAnswer: 8930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(sqrt(78)\/((sqrt(30)*-2)\/sqrt(5)) - (sqrt(130)\/sqrt(40) + (-1 + sqrt(13) + 0)**2)).\nAnswer: -84 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9168821, 9168817, 9168811, 9168803, 9168793, 9168781, 9168767?\n\"Answer: -k**2 - k + 9168823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -242 + 140 + 163 + -6 + (0 - 2).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07 - -0.27. Let j = -0.06 + -0.34. Sort j, 1\/3, y.\nAnswer: j, y, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/486 and (-6)\/18 - (-1 + 692\/(-180) + 3).\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426382545?\nAnswer: 3, 5, 28425503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -55652626876 and -3.\nAnswer: -55652626879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1961*f - 1883*f = 688272. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 2*47636\/(-8). Suppose 344*a = 351*a + 41272. Let f = a + y. Round f to the nearest 100.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 58601 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2. Let y(j) = 32*j + 6. Calculate w(y(x)).\nAnswer: -1024*x**2 - 384*x - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.777 + -2.7666. What is o rounded to two dps?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -347 - -347. What is the closest to d in -1, -172, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*x + 315*x + 245*x.\nAnswer: 513*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.0117, -0.4, -616, 4?\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86012.\nAnswer: 2, 21503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226 by 661.\nAnswer: -226\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9884 + -5840. Let m = r + -4044.12027. Let h = 0.12 + m. What is h rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2601 + 1254 + 164 - 830 + 2*p to j + a*p and give j.\nAnswer: 3189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 90089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6480 and 55.\nAnswer: 71280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(3*d + 2*d - 7*d) + (8*d - 13*d - 18*d)*(0 + 0 + 2).\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15592)\/15)\/(-4) + (-2)\/(-15). Calculate the highest common divisor of 52 and x.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.92. Let i = 1.08 + h. Which is smaller: i or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2228132674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*r + 30*r + 25*r - 9*r - 3*r + 4*r + (-2*r + 2*r - 2*r)*(2 + 8 - 2).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -162545937.2 rounded to the nearest 10000?\nAnswer: -162550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + p**4 - 78 + 78 + (-p**3 + p**3 + p**3)*(2*p - 2*p + 2*p) to d*p**3 + s*p**4 + b*p + h*p**2 + j and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10698 >= 10698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**5 - 4*c**4 + 424*c**3 - 1184*c**2 + 768*c = 0.\nAnswer: -12, 0, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.372 - 0.272. Let q = -23.091 + 0.091. What is the closest to i in 0.5, 5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.3 + 1.7. What is the biggest value in 1\/2, j, 0.06?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**3\/7 - 36*d**2\/7 - 3*d\/7 + 36\/7 = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 40 = -90. Suppose p + 2*p - 2*x = 41, -6 = -3*x. Let o = p - i. Solve 0 = -o*f - d - 3, -6 = -3*f + 2*f + 2*d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 282634 divided by 5\nAnswer: 282634\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from liuullllllqliuuu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7cc15 (base 15) to base 7\nAnswer: -3244112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 51. Let n(r) = -2*r + 27 + r - s*r + 5*r. Let b be n(-13). Solve 2*a = 7 + b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 59. Let y = 7 + -5. Let k(s) = 4*s**2 - s. Let w be k(y). Calculate the highest common divisor of w and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/1 - -3 - 63. Let w = q + 74. Solve b = 3*b - w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -301, 101, 505, 911, 1319?\nAnswer: 1729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**3 + 4*z**3 + 3*z**3)*(-4*z**2 + 5*z**2 - 11*z**2).\nAnswer: -10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/234, -9.11, -0.29 in increasing order.\nAnswer: -9.11, -0.29, -1\/234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-18))\/(145 - 142))\/(10\/(-18)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100100011 - -10100001010?\nAnswer: 1011000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1294870000 rounded to the nearest 1000000?\nAnswer: -1295000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*d = 137*d - 12513438. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2176?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304553390.\nAnswer: 2, 5, 3217, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + v - 3)*(-2 + 2 - 5)*(0 + 4 - 3).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (7 - (16 + 4))) + (-1 - 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60510312?\nAnswer: 2, 3, 53, 101, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1832, 8288, 25726, 59636, 115508, 198832, 315098, 469796?\n\"Answer: 915*k**3 + k**2 + 48*k + 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 22. Suppose -48 = 3*s + 4*v, 2*s + 5*v = -s - 51. Let f be p(s). Put -5, f, 4 in ascending order.\nAnswer: -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 8. Let s be f(3). Solve 0 = -t + 2*t + 5, -5*t = -4*l + s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -203222834.5 and -12.04.\nAnswer: -203222846.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. What is the nearest to q in 0.4, 3, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -189*f**2 - 9264*f - 149. Calculate j(-49).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -12*l**3 + 8*l**2 + 70*l + 324. What are the prime factors of f(-10)?\nAnswer: 2, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p + 2. Let l(a) = -10*a - 5. Let m(g) = 7*i(g) + 2*l(g). Let v be m(-2). Suppose 4*u - 14 = 2*u - v*z, -19 = -u - 4*z. Solve -u + 4 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -54*r + 1730. Give j(34).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29702, -29656, -29596, -29516, -29410, -29272, -29096?\nAnswer: -28876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*h = 370, 4*k - 4*h + 0*h - 388 = 0. Suppose s + 3*a - 238 - k = 0, s - 3*a = 326. What is s rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*a + 12*a - 54*a + 18*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*-1*(sqrt(252) + 0) + 2)**2 + 3.\nAnswer: -252*sqrt(7) + 2320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k - 36*k = 44*k + 872 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*p**4 - 2 + p**2 - 3*p + 2*p**2 - 4*p**2 + 4*p as g*p**3 + n + b*p**2 + d*p**4 + j*p and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172 and 565493.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92928 is divided by 92823?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2 - 6 = -2*f, 3*f - 12 = 3*t. Suppose -f*l - 5 = -9. Which is greater: -1\/6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 26*w**2 + 12*w + 11. Determine z(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(102)*-3 + sqrt(102))*-6)\/(sqrt(150) + (-5*(sqrt(150) + sqrt(150)*1) - sqrt(150))))**2 + 1.\nAnswer: 8122\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13403433, -13403435, -13403437, -13403439, -13403441?\n\"Answer: -2*a - 13403431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3840674421?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1847*s + 1839*s - 9206*s + 1830*s + 1852*s + 1848*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 22 - 31 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**4 + 0*s**4 - 24*s**2 + 16*s**2 wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38136)\/2043*(-6)\/5*15\/36*-3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 11161?\nAnswer: 4464.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183367509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. Suppose -13 = b*m - 3. Let g be -3*(-3)\/(-9) - 0. Put m, -2, g in increasing order.\nAnswer: m, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540174*z - 206445*z + 488676*z + 54770*z.\nAnswer: 877175*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -184511081088370 and -0.1?\nAnswer: 184511081088369.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1809*v - 3*w = 1808*v + 193276, -4*w - 966391 = -5*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2, -1\/15, 0.1, 28434\/11?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, d: 1, t: 4, s: 8, j: 2, z: 4}. Give prob of sequence stzs.\nAnswer: 112\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -232*o - 244. Give s(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 314, 327, 358, 413, 498, 619?\n\"Answer: k**3 + 3*k**2 - 3*k + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 686 - 2144. Let i be ((-56)\/(-12))\/((-9)\/b). Let s = -52 - i. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 51. Let x(q) = -2*q + 36. Let l be x(i). Let s be l\/(-12)*3*0. Solve -3*v + 2*b - 7 = s, v + v + 5 = b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -349\/30 - -133\/10. Which is the closest to -1\/4? (a) 1 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13318 - 13315. Let a(g) = -38*g**3 - 2*g + 3. Let r(p) = -39*p**3 - 3*p + 4. Calculate q*r(y) - 4*a(y).\nAnswer: 35*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1124, 1114, 1084, 1022, 916?\n\"Answer: -2*l**3 + 2*l**2 - 2*l + 1126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 126997.5 micrometers?\nAnswer: 0.0001269975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -95, -89, -49, 25, 133, 275?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11ab5b (base 12) in base 15?\nAnswer: -5a738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-45 - -2) + -32 + (49 - 5) + -5 + 2\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 12. Let x be j(-10). Let o(s) = -6*s - 4. Let q be o(x). Suppose -v + 22 = -5*a, -q*v - 2*a + 29 = -3*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 3*s - 2*s)*(-1113*s**2 + 165593 + 3991*s**2 - 165593).\nAnswer: 2878*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-140)\/120))\/((-27)\/882).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 - -0.6. Let x(p) = 4 - 2 - 2*p + 1. Let s be x(2). Which is the biggest value? (a) q (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 103 - 97. Let m(i) = 12*i**2 - 3*i + 3. Calculate m(n).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**8\/1680 + 41*n**7\/350 + 119*n**6\/100 + 353*n**5\/75 + 39*n**4\/5 + 102*n**2 + 7. Factor b(v).\nAnswer: v*(v + 2)**3*(v + 117)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -153 or -1077\/7?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(1\/4)\/q))\/q)\/q*q**(-6)*q*q*q*q)\/(((q\/(q**(-1)*q)*q*q)\/q)\/q)**(-16\/9) assuming q is positive.\nAnswer: q**(-17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22125 (base 9) in base 7?\nAnswer: -60545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32 + -34)\/((-10)\/(-4)). Which is the closest to 0? (a) 6 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383516884?\nAnswer: 2, 4799, 19979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -205\/3 + 135\/2. Which is the nearest to 0? (a) 3 (b) q (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 112, 190, 340, 586?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82 or 58?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 12 + 14 = 3*f, 4*f = -2*h + 58. What is the greatest common divisor of f and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 55 - 124*p.\nAnswer: -124*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, -7, 10, 45, 104, 193, 318?\n\"Answer: l**3 - 2*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 10)*(608 + -13). What is the highest common factor of b and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 676 (b) 8\/5 (c) 1 (d) -2\/201 (e) -1 (f) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/4 - 4\/(-16). Let o(a) = -3244*a - 3020. Let h be o(-1). Calculate the highest common factor of y and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100057\/20 - -4998. Let s = 52559\/53880 - 322\/449. Calculate the common denominator of h and s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306763.\nAnswer: 306763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2297805 is divided by 2988.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43912 is divided by 14599.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/3 + 710*b**2\/3 + 66086*b\/3 + 179574 = 0. What is b?\nAnswer: -173, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -708\nAnswer: -212.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(9\/(-3))*1\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-99)\/21 - (-4)\/(-14). Suppose -1 = l - 3. Sort 4, w, l in increasing order.\nAnswer: w, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 2*s - 40 = 0. What is the third biggest value in 1\/3, 12, s, -1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b**3 - 2657*b**2 + 2659*b**2 - b**3 - 1 + 4*b in the form o*b**2 + h*b**3 + s + c*b and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 8 + 3 + (1 + 3 - 2)*(-1 - 4 + 3) - 2 - 1 + 2)*((0*f**4 + f**4 + 0*f**4)*(0*f + 2*f - f) + 2*f**5 - 3 + 3).\nAnswer: -60*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 9*t**5\/25 - 3*t**4\/5 - 631*t**3\/5 + 318*t**2\/5 + 252*t + 3075. Find a such that k(a) = 0.\nAnswer: -14, -2\/3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1296 and 287514?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(106 - 106 + 29*k**2).\nAnswer: 29*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l - 1. What is the tens digit of u(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, 4600, 46, 2 in ascending order.\nAnswer: -10, 2, 3, 46, 4600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3657 + -3656. Which is bigger: k or 14884?\nAnswer: 14884","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-190)\/80 + (-6)\/(-16). What is the third smallest value in d, 5, -3, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.115765 at most as big as 1939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Suppose m + 4*m - 1 = t, 2*t = -4*m + 12. Sort f, 4, m in increasing order.\nAnswer: f, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/220 and -79\/330.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204314 is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 550 + -552.97. Round i to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*j = 6*j + 954, 4*g - 3*j - 1896 = 0. List the prime factors of g.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -8\/3*d**3 + 4\/5*d**5 - 4 - d**2 - 5\/2*d**4 + 16\/15*d**6 - 12*d. Let p(q) be the first derivative of o(q). Factor p(u).\nAnswer: 2*(u - 1)*(u + 1)*(4*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30882*c = -30146*c + 39744 for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*t, m - 7 = -2*m - 2*t. Suppose 5*q = r + 21, 0 = -3*r + 4*q - m*q + 7. Let o be 2*(-3)\/(-3) + r. Solve o*s + 16 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-11) + (-24)\/(-11). What is the second derivative of 0*c**2 + c**2 + 0*c**2 + c**t + 3*c wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 364811, 364810, 364819, 364844, 364891, 364966, 365075?\nAnswer: 365224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 76*t**2 + 117*t + 3022. Calculate m(-77).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izis when four letters picked without replacement from uizzuuuzss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/a**(-15))\/a)**(3\/4)*(a*a**(5\/9))**42 assuming a is positive.\nAnswer: a**(937\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -49, 0.2, 8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iee when three letters picked without replacement from bebbebi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.075777902497 and -1.942.\nAnswer: -2.017777902497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 149974356 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113332440 + -3?\nAnswer: 113332433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b - 16. Suppose 21 = -5*k + 8*k. Let c be t(k). What is the highest common divisor of c and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1828 * 260.2\nAnswer: 475645.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5128904 and 2564452?\nAnswer: 5128904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (47 - 48)*(0 + 0). Suppose d = f - 13*f + 168. What is the smallest common multiple of 63 and f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6490 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 15 = -0*o. Let n(i) = i**2 + i - 4. Let u be n(-3). Sort u, 1, o.\nAnswer: o, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4663.7 * 0.4.\nAnswer: -1865.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y = -11*y - 176. Suppose -y*r + 8 = -24. Are r and 0.052 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 127136, 254368, 381690, 509096, 636580, 764136, 891758, 1019440?\n\"Answer: -b**3 + 51*b**2 + 127086*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 + -95. Let q be (-519)\/(-346) + (-1)\/2*17\/7. Let o = -0.1 + 0.2. What is the closest to q in o, 2, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*s = -28*s + 3092 + 3523 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/5)\/((-52)\/(-10) - 5). Suppose -n*x + 8*x = 15. Suppose x*d - 416 = 1477. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-21) - 36\/(-21). Suppose 0 = -w*k + k + 8. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -1\/5, -264\/23?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(4\/11)*z**(-1\/4)*z**(5\/7)*z*(z*z**(1\/4))\/z)**11 assuming z is positive.\nAnswer: z**(181\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 7. Suppose 4*s + 8 = -4*p, z*p = 4*s - 3 - 3. Let c = 18 + p. Calculate the highest common divisor of c and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*o - 0 - 5, -4*o - 4 = -5*j. Let y = -3 + j. Let d(a) = -a**3 - 2*a**2 + 4*a - 1. What is d(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - (35 + 1)) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*n + 111, -3*n - 38 - 35 = -2*q. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 41*z**2 - 8*z**2 - 34*z**2 - 6*z in the form r*z**2 + v*z + y and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -5\/6*w**3 + 0 + 4*w**2 - 43\/24*w**4 + 0*w. List the prime factors of t(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**4\/5 + 174*y**3\/5 + 134*y**2 + 498*y\/5 = 0.\nAnswer: -83, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 12. Let w be i(-5). Let k be -1 + 1 - ((2 - w) + 6). Let v(p) = -7*p - 4. Let s be v(k). Solve -s*r - 11 = -f, 0 = 2*r + 2*f + 10 - 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -3260?\nAnswer: 3261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**3 - 3*l**2 - 3*l + 5. Let t(v) = -v**3 + v**2 + v - 1. Give -g(k) - 5*t(k).\nAnswer: -3*k**3 - 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 23*a + 47 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -17, -19, -21, -23?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -6 + -43 + 13 - (8 - 8)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 230105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/9 - (0 - 505\/45). Let d(u) = -5*u + 63. What is the remainder when 55 is divided by d(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*m - 5*r + 8, -2*m - 14 = -4*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/3))\/(b*b**1)*b**(-1)\/b*b**(-5)*(b\/(b**(-2\/3)\/b*b)*b**(3\/5))**(42\/5) assuming b is positive.\nAnswer: b**(803\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 35*o + 387 - 64.\nAnswer: -35*o + 303","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 7*h**2 + 10*h + 5. Let k be (-6)\/21 + 51\/7. Let x be c(k). Suppose -x*j = -74*j - 154. Calculate the greatest common divisor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 3*r**2 + r - 7. Let p be j(-4). Suppose -p*q = -460 - 190. List the prime factors of q.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 1\/2, 4, 8, 292 in increasing order.\nAnswer: -1\/7, 1\/2, 4, 8, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 9739340*o - 19478660.\nAnswer: -5*(o - 1947866)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-9) + (-247)\/(-57). Let k(h) be the third derivative of 11*h**4\/24 - 7*h**3\/3 + h**2. Is 13 a factor of k(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttvvxvvttvxtvxt. Give prob of picking 4 t.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = 4*z - 2*d - 1120, 706 = 2*z + 5*d. Suppose -u = -12 - z. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-83.722.\nAnswer: 418.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0177 - -9.8477. Let f = 10.83 - y. Let n = 840\/5629 - -2\/433. What is the closest to f in 3\/7, n, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {x: 9, o: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72553416 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 8*r = -5*v + 12, 5*r + 30 = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 282 + -182. Suppose -4*u - 4*a = -p, 11 = -3*u - 4*a + 89. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*h - 26, -230 = 5*c + 16*h - 11*h. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-8)*a*(a**11\/a)\/a*a\/a**8*a*a\/(a*a*a\/((a**3*a)\/a)) assuming a is positive.\nAnswer: a**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 1. Let p be v(-7). Let t(r) = r**2 + 5*r - 2. Let f be t(p). Find the second derivative of -2*s + 5*s**2 - 5*s**2 + 3*s**f wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8416 divided by -5.\nAnswer: -8416\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17585419 is divided by 113?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5082\/(-44))\/(3\/(-1))*-2. Let q = 19 - k. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 - 2 - 37*u**3 - 31*u**3 + 67*u**3. What is the units digit of i(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112845*j**2*n**3 - 213077*j**2*n + 2*n**2 wrt n.\nAnswer: -677070*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (3 - -1) + (11 - 12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15021 - -5?\nAnswer: -15012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5*o**(1\/11))**(4\/11)*(o*o**4*o**(-5))**(-43) assuming o is positive.\nAnswer: o**(224\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -13691\/2, -1\/2, 1, 5, -28?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/10 and -99\/76.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9650977*w**2 + 7*w - 3. Let i be h(6). Let d = i + -545435206. Let l be d\/15 - (-2)\/(-6). What is l rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 2583.485.\nAnswer: 2583.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 68*q**2 + 51*q - 597. Determine u(-69).\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1476463 divided by -4\nAnswer: 1476463\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09039036 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12515 + 18932. What is the thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117 + ((12 - 3) + (1 + 0 - -3) - 12)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -6*x - 1120. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.48 and -0.2231027.\nAnswer: -0.7031027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 15*i**2 - 13*i - 27. Let b be a(14). Sort 0.1, 0.5, b, -3.\nAnswer: b, -3, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 161, 109, 5, -169, -431, -799, -1291?\nAnswer: -1925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*f**3 - 4*f**3 - 13*f**3 + (-2*f - f + 2*f)*(6*f**2 - 2*f**2 - 3*f**2) as w + b*f + r*f**2 + u*f**3 and give u.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ac368 + -1b9?\nAnswer: -ac543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*p = -30, 4*j - p = 56 + 37. What is the lowest common multiple of j and 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1470.86 - 1470.799519. Let a = l - 0.0602. Round a to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3744*t - 48662. What is a(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4 - 32. Is (-30)\/(((-42)\/(-8))\/o) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*i**2*y**3 - 43*i**2*y**2 - i**2*y + 3*i**2 + 3*i*y + 585*y wrt y?\nAnswer: -276*i**2*y - 86*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.38 less than 17198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(8\/(-4)))\/(((-176)\/(-1408))\/(129\/6)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3707 + -3706. Which is the closest to v? (a) -0.1 (b) 2\/3 (c) -5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**4 + 4890*j**3 - 425580*j**2 + 1638630*j - 1217943 = 0. What is j?\nAnswer: -1713, 1, 3, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1036a6 + -811?\nAnswer: 102995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 8 = 5*k, -6 = 4*k - r - 13 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-92)\/93 - 20\/(-30). Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*l**2 + 36*l**2 + 53*l**2 - 612*l as p*l + z + w*l**2 and give p.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s + 4. Suppose -5*o + 2*g - 5*g - 19 = 0, -4*o - 18 = g. Let l(m) = -4*m - 5. Let n(f) = o*k(f) - 4*l(f). Let c(h) = h**2. Calculate n(c(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1309072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -40 (b) 1\/15 (c) 2681\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -120.555 = -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -0.655421.\nAnswer: 5.655421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393*h + 2346*h + 5804*h.\nAnswer: 7757*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.6 + 3.8. Which is the closest to -1? (a) r (b) 1\/2 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5\/4, -0.01, 1442, 2\/253?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 3. Let t(q) = q**2 - 15*q - 31. Let o be t(17). Let y be u(o). Solve -3*n + 5*f - y = 0, n + f - 2*f + 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - 44 - (-9 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 13*w**2 + 405*w - 28. Calculate g(-31).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x + 8. Suppose -8*d = 4*v - x*d - 12, v + 5*d - 15 = 0. Suppose -21 = -3*j - v*j. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 minus 0.4?\nAnswer: 163.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -139*n + 255. Give h(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/2 - (-4)\/(-2). Let l = d + -5. Which is the closest to -0.1? (a) l (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((1078\/(-88))\/(14\/(-16)))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 3*t + t)*(49*t**2 - 18*t**2 + 25*t**2).\nAnswer: 112*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -5, 5, 141, 21 in descending order.\nAnswer: 141, 21, 5, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdsssdmvvav. Give prob of sequence ass.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7, -25, -55, -97, -151, -217, -295?\n\"Answer: -6*s**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414450 rounded to the nearest ten thousand?\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -1.72309.\nAnswer: -16.72309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*b**2 + 5)*(8 + 1 - 1) + 308*b - 21*b**2 - 308*b + (3 - 3 + b)*(1 + 2*b - 1).\nAnswer: -35*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 1\/42*d**4 + 13\/7*d**2 + 2\/3*d**3 - 10 + 3*d. What is x in i(x) = 0?\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14185 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -589319.092 to the nearest ten.\nAnswer: -589320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6) + 34\/4. Let q be (6\/t)\/((-11)\/(-4)). Is q > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1499, 1487, 1461, 1415, 1343, 1239, 1097?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 1 = 7. Suppose -y = g*y - 40. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiyi when four letters picked without replacement from dummiuiummcymuuii.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -137890349.\nAnswer: 68945174.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2305 and 69\/108460.\nAnswer: 50000060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 2) + (-8)\/(-21380). Let n = 465023\/21380 - b. Find the common denominator of n and -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, q: 5, z: 2, g: 1, k: 2, w: 2}. What is prob of picking 1 w, 2 i, and 1 k?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435841\/35 - ((-11)\/40 + 34\/(-272)).\nAnswer: 3, 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13, -4, -2529, 2, 5, -5 in descending order.\nAnswer: 13, 5, 2, -3, -4, -5, -2529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (-19 - (-52 - -49)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -29, -2\/13?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2 + 2*m - 6. Let v be w(10). Let z = -191 - v. Suppose -5*a = -0*a - z. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**2 + 2220*j - 4469.\nAnswer: 4*j + 2220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 16*w**7\/21 - 25*w**3\/6 + 10*w - 26. Let b(f) be the first derivative of h(f). What is the second derivative of b(m) wrt m?\nAnswer: 640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -21 - (3 + 0 + 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10764 * 9.\nAnswer: 96876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -169 + (-22152)\/(-156) + (30 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3707034*r**2 + 25848*r - 8616. Let b(x) = -4303*x**2 - 30*x + 10. Calculate 4308*b(j) + 5*n(j).\nAnswer: -2154*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6610405679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -25) + -7 + (4 + -2 - 3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/(53\/(-106)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 11. Let l be p(9). Let s(v) = -148 + 291 + v**3 - 6*v**3 + 0*v + 2*v**2 + v**3 - 140 - 3*v. What is s(l)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1242969 and 4669.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 234 + 181 = -123 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 72\/4 - -1*4.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -317, -307, -293, -275, -253?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**3 - 2*h**3 + 4*h**3)*((-7 + 0 + 2)*(-3 + 3 - 1) - 5 + 8 + 16) in the form a*h**2 + t + s*h + f*h**3 and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323 and 1084121?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (60\/(-42))\/((-1)\/14). Is 14 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -549 - 778*r - 264 - 79 + 4*r**2 - 114*r + 4*r.\nAnswer: 4*(r - 223)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41215.7 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-74555 + 456*t**2 + 74555)*(2 - 2 + 23) to the form v + j*t + w*t**2 and give w.\nAnswer: 10488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10741 and -264?\nAnswer: -2835624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 10*a**2 + 13*a - 8. Let j be n(11). Solve 4*h + 2*z = z + j, 3*h + 3*z = 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-58)\/(((-6)\/(-27))\/(-1)). Suppose 0 = t + 5*f - 51 - 36, 3*t - 2*f - u = 0. Does 23 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -153*c - 279. Let f be 2 - 3\/3*-1. Suppose -d = -12 - f. Calculate the remainder when u(-2) is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 128\/80*((-55)\/2)\/(-1). Let u = 39 - q. Let x(l) = -l - 4. Let k be x(-6). Sort -4, k, u in decreasing order.\nAnswer: k, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(8)*4)**2 + 2.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -1 - (-3 + 0). Let k(q) = q - 13. Let p(o) = -o + 12. Let c(z) = -5*k(z) - 6*p(z). Let x be c(7). Solve v*m - 6 = -x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 3*h - 1026 - 3*h.\nAnswer: -2*h - 1026","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57575677 is divided by 160?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 5*l - l)*(4*l + 4*l - 11*l)*(3 - 3 - 7*l).\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k + 2. Let y(p) = -p. Let v = 20 - 12. Let d be v - (0\/(-3) + 2). What is d*y(x) + l(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 128 in 0, 2, 3\/4, 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27, -99, -211, -357, -531, -727, -939?\n\"Answer: l**3 - 26*l**2 - l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 9. Suppose -z*s - 20 = 0, k + 0*s - 5*s - 33 = 0. Let b = k + 3. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 11*g - 13. Let y(l) = -5*l + 6. Let o = 344 - 339. Let h be (5\/(-20))\/((-2)\/16). Determine h*i(p) + o*y(p).\nAnswer: -3*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 313*n**4\/12 - 743*n**3\/6 + n**2 - 781*n. What is the second derivative of m(w) wrt w?\nAnswer: 626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -5*c - 4*f, c = 3*c + 5*f - 62. Suppose 2*k = i - 0*i + 24, -3*k - 3*i = -c. Calculate the remainder when k is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*t = -48*t - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/5 - 32*t\/5 + 36\/5.\nAnswer: -4*(t - 1)*(t + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, v: 5, w: 2, l: 4}. What is prob of sequence vm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**4\/12 - t**3 - t. Let k be v(-5). Solve k = -m, h + 4*m = m - 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -2*a**4\/3 - 139*a**3\/6 - 5302*a**2. Let m(o) = -o. Determine k(m(s)).\nAnswer: 16*s - 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 2, 4, 1\/3, 974?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(1\/2)*p))**(-32)*p\/(p*p**(2\/5))*p*p*p\/(p\/((p*p\/p**(-3\/2))\/p))*p assuming p is positive.\nAnswer: p**(211\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + s**3 + 2*s**3 - 3*s**2 + 3*s**2 + (2 - 2 - 2*s**2)*(4 - 4 - s) + (-7 + 7*s**3 + 7)*(1 + 3 - 3).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -458\/45 + 92\/9. Is 0.1 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**2 + 363*c - 4302. Give r(34).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -213078 + -0.08?\nAnswer: -213078.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35359963*p**3*w + 3*p**2 - 310*p*w + 74*w + 1 wrt p.\nAnswer: 212159778*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*((-16)\/(-6))\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 762 + -1a809?\nAnswer: -1a057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/15, -0.03, 0.4, 0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + 1 + (-45 - (3 - 51))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19 and 0.1.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 6*j - 743. Let k be o(-25). Let a(d) = -d - 2. Let t be a(-4). Suppose t*y + k = 6*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 419\/6 + -70. Let x = -14 - 5. Let y = 17 + x. Which is the biggest value? (a) l (b) -7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4 - 8 + 3 - 6*x. Calculate j(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3+-24.202038\nAnswer: -22.902038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2 - 284*k - 560 = 0?\nAnswer: -140, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 4*r - 6*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 131b3 (base 16) to base 14\nAnswer: 2073d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 + 0 + 0 + (3*j**3 + j**3 - 6*j**3)*(1 + j - 1) + 4*j**4 + 2 + 257*j**3 - 257*j**3 - 34*j**4 - 13*j**4 + 12*j**4.\nAnswer: -34*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -167 - -184.2. Let m = -17 + j. Which is the smallest value? (a) -2\/3 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*h + 2*s, s + 15 = 5*h + 36 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5 - 4 - 133*i**3 + 422*i**3.\nAnswer: 289*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 + 68. Put d, 2, 3\/2, -19 in decreasing order.\nAnswer: 2, 3\/2, d, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 21*h**2 + 464*h + 110. Give a(-13).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41 + -59?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 10:09 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 3, -14, -41, -83 in increasing order.\nAnswer: -83, -41, -14, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/24*6\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8430852899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33787548 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 6. Let m = r + 10. Solve m*c + 6 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 2) + (-9)\/(-11). Let v = 15662 + -15663. Which is the second smallest value? (a) -0.3 (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-7)\/(-2))*(49\/(-14) + 10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**4 + 94*i**3 - 1056*i**2 - 1147*i - 5. Let b(y) = 2*y**4 - 94*y**3 + 1056*y**2 + 1148*y + 4. Let l(f) = -5*b(f) - 4*d(f). Factor l(z).\nAnswer: -2*z*(z - 24)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -255 (b) 4 (c) 790\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-59)\/708)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -270 + 292. What is the remainder when 83 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 52*r**2 + 41*r - 304. Let f be m(-36). What is f rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -51*c - 1. Let p be a(-2). Is (6 - p)*(-2 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4687.\nAnswer: 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4715\/23950 + (6\/10)\/(-3). Let g = d + 42173\/6706. Calculate the common denominator of -41\/8 and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-1 + 1 - f**3) + 6*f**2 - 8*f**3 - 6*f**2 + 7*f**3 - 2*f**3 - 6*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i - 1. Let x(a) = a. Let k(q) = -g(q) - 5*x(q). Let m = 0 + 2. Let c be ((-2)\/(-1 + 0))\/m. Give k(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/6*(-24)\/16)\/((-12)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 2:49 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 12 = -3*p, 4*s - 5*p + 7 - 10 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1327177 is divided by 147464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93167653.\nAnswer: 439, 212227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*m + 142. Let f = 54 + -33. Let v = m - f. What is the greatest common factor of v and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*z + 52 = 0, -2*z + 4 = -g + 2*z. Let r be 2 - (g\/4 + -1). Find the third derivative of 10 - 4*t**6 - r*t**6 - 10 + 13*t**2 wrt t.\nAnswer: -1200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 8. Let y be (18\/w)\/(1\/5). Is (-4)\/y - (-1717)\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**5 + t**4 - 842174*t**3 + 175606*t**2 + 30.\nAnswer: 120*t**2 + 24*t - 5053044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.11 (b) -1 (c) 1 (d) 315 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14*a + 4. Suppose 5*d - 4 = -4*z + 54, -2*z = 5*d - 54. Let h be j(d). Suppose -q = q - h. Calculate the highest common factor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 8 = -12*t. Let n be -5 + t + 6\/5. Sort 2\/11, n, -0.1, 0.1.\nAnswer: -0.1, 0.1, 2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + 60 - (-3 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38830 and 14829210?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 34, -12, 88 in ascending order.\nAnswer: -12, 3, 4, 34, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - -125. What are the prime factors of i?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/1*39\/78\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x**5\/9 - 2582*x**4\/9 - 14792*x**3\/9 + 7492112*x**2\/9 + 14139440*x\/9 - 1767136\/9 = 0. What is x?\nAnswer: -98, -2, 2\/17, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + 0 + 0)*(11 - 21 + 15)*(4*h + 3*h - 4*h) as r*h + w*h**2 + a and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by 21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2 = -4*i + 2, 2*i - b = 8. Let o = -80015\/19 + 4215. Is i <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -2, 4, -1, 2 in decreasing order.\nAnswer: 45, 4, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-1 + 7 + -38 + 30)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39233?\nAnswer: 39233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f - 12. Let w be 2\/f*4\/1. Suppose -h = 5*u - 1 + 11, h - w*u = 4. Solve -a + 3 = h, -3*a + 22 = -5*x + a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2)*d)**(-17\/4))**(6\/11) assuming d is positive.\nAnswer: d**(-51\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1310827*i**2 - 2*i - 1. Let s(y) = 4*y. Give s(r(q)).\nAnswer: 5243308*q**2 - 8*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -43, -37, -33, -37, -55, -93, -157?\n\"Answer: -z**3 + 5*z**2 - 2*z - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37711, 75422, 113133, 150844?\nAnswer: 188555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3737 is divided by 1830.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2. Suppose -323 + 55 = -x. Let u(v) = -268 + 21*v + x. Calculate u(z(p)).\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 2*i + 1. Calculate the smallest common multiple of o(-4) and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01685 * 903.\nAnswer: -15.21555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 3510516?\nAnswer: 3510516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 906.8 rounded to the nearest 10?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdwp when four letters picked without replacement from hdppwpwptddt?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3 - 3*s**2 + 4*s + 12 = 0. Calculate s.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 707 divide 28878829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.886615641 + 7.11?\nAnswer: -88.776615641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmvvmmvvqmmmvv. Give prob of picking 1 m and 1 v.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*p + 56 = 0. Let n = p + 58. Factor -5*c**2 + 6*c**2 + 2*c + c**n.\nAnswer: 2*c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -0.8.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 27*j - 115. Determine n(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20437.24 + -20022. What is t rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*g - g. Let y = g - 7. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1968569, 1968588, 1968607, 1968626, 1968645?\nAnswer: 1968664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -5, -95, -3 in decreasing order.\nAnswer: 4\/5, -3, -5, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 932*l**7\/7 + 551*l**3\/3 - 684. Find the third derivative of r(a) wrt a.\nAnswer: 111840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-73)\/(-146))\/(3542\/(-924)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*q + 3*q - 4*q + 5*q to the form m*q + l and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.2 + -16. Let g = -60 + 62. Let o = g + n. What is o rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6 (b) -4.82 (c) -0.4 (d) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 233 divided by 28986\nAnswer: 233\/28986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64817 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 19392846.\nAnswer: -1\/6464282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 17*v + 3. Let u(h) = -2*h**2 - 20 + 16*h - 28 + 0*h**2 + 44. Let g(c) = -4*a(c) - 3*u(c). Factor g(x).\nAnswer: -2*x*(x - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2693 is divided by 245.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/5))**(32\/5)*i\/(i**7*i)*i\/(i**(-1)\/i) assuming i is positive.\nAnswer: i**(124\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 + 35*f - 66.\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 369787, 10, 3, 2\/5.\nAnswer: 2\/5, 3, 10, 369787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 - 1.6. Let l be (-1)\/3*24\/(-10). Which is the second smallest value? (a) n (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398ce (base 15) in base 5?\nAnswer: 21343434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzww when four letters picked without replacement from {w: 1, u: 1, z: 2, l: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7669475788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/(-20) - (-1 - 27\/(-6))*-2?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1\/3, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + 0 + 5 + (sqrt(1300) - (sqrt(1300) + -3 + sqrt(1300))) + sqrt(1300) + 2 + 5)**2.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -577\/995 + -4\/199. Let p = 2 + 1. Let l = 4 - p. Put 3, x, l in descending order.\nAnswer: 3, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.3 - -1.5. Let l = 0.7 + k. Which is the second smallest value? (a) 3\/4 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -218 - 3?\nAnswer: -21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2. Let n(z) = -7*z**2 - 3*z - 3*z + 6*z. What is n(q(s))?\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 234*o - 225*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 771 or -13189?\nAnswer: 771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 87.47316 milliseconds?\nAnswer: 87473.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 3:30 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -30945 (b) 3\/82 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15356 - -120?\nAnswer: 15506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.16 - 0.16. Let o = g + -12. Which is the second smallest value? (a) -3 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 10:11 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 64458458 divided by -1\nAnswer: -64458458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/440 and -37\/7172.\nAnswer: 71720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 320193438 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1323422+172872639\nAnswer: 171549217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668*x + 3357 - 1562 = 58 - 10287 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3165\/(-41145)*(-2 + -557).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212 or 81815\/386?\nAnswer: 81815\/386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7248 and 2343822?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 157 - 23 = 0. Suppose 7*c = 3*c + o. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from bbbbbbtbtt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11555 (base 6) in base 15?\nAnswer: -7a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/33)\/(238\/43197).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16439 + -16430. Solve -13 - 5 = n*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -g + 1, 3 = 3*g - 6. Let p be -2 + 3 - (-1 - y). Factor p + s + 1\/2*s**2.\nAnswer: s*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 30*(-1496)\/(-660).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2*s - 39 = 4*q, -4*q - 130*s - 36 = -126*s for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d - 44*d + 128*d - 41*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 11:48 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 - 185*b**3 + 355*b**2 - 175*b.\nAnswer: 5*b*(b - 35)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90626358 and 14.\nAnswer: 634384506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 1863?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(18\/4))\/((-20)\/(-90))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -453 - -2. Let h be -1*(3 + -7) - 225. Let b = h - n. Round b to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*k**4 - k**2 - k + 984 wrt k?\nAnswer: -76*k**3 - 2*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3444*z + 65*z + 1423*z + 456*z.\nAnswer: 5388*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 97 - 17 = 0. Let y = x - -27. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84004, -168011, -252018?\nAnswer: -336025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15\/2*z**2 - 7\/2*z**3 + 83*z - 12 = 0. Calculate z.\nAnswer: -4, 1\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 4*n - 2. Let f(s) = -1302*s**2 + 25*s - 12. Give f(k) - 6*o(k).\nAnswer: -1296*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*m - 23*m = -11*m - 832 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11934 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**2 - 2*x + 5. Let l(k) = -4*k**2 - 3*k + 4. Let d(v) = 4*l(v) - 3*y(v). What is the remainder when d(-3) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 + -8. Let v be 61\/7 + (8\/14)\/2. What is the highest common divisor of v and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -222 - -221.995488. Round y to 4 dps.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 439085, 439449, 440047, 440873, 441921, 443185, 444659?\nAnswer: 446337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 3 = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1\/1633900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 4*i + 55 - 80 = 0, 2*b - 27 = 5*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635, -578, -521?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-16) + 4626\/(-360) + (-21)\/15\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 782848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 96251*d + 481255. Give a(-5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101112211111122 + -100?\nAnswer: 101112211111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/(17\/(-34)). Let y be (12\/(-8))\/(2 - b). Sort y, 0, -2\/13 in increasing order.\nAnswer: y, -2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-1\/4)))**(1\/58)\/(r**(-6\/7)*r**(-7)*r))\/(r**3\/(r*r*r\/(r*r**10*r*r)*r))**(-10) assuming r is positive.\nAnswer: r**(206023\/1624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.719\nAnswer: 0.2876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1465200 divided by 732600?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07819 and 744.\nAnswer: 58.17336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -284*t*x + 2730*t + 21669827*x wrt t?\nAnswer: -284*x + 2730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1466 - 1464. Which is the nearest to -3? (a) u (b) 1\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-5)\/(-3)))\/((-154)\/110).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2\/13, -27?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqddbcdqdqqqb. Give prob of sequence qqd.\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p = 39 - 683. Suppose 52 = 6*g + p. Factor 5\/4*n**g + 5\/4*n**5 - 5\/2*n**2 + 5\/4 - 5\/2*n**3 + 5\/4*n.\nAnswer: 5*(n - 1)**2*(n + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 4:25 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + l - 2400000. Round l to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843775 is divided by 93746.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11289436.\nAnswer: 2, 283, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 263590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 9:31 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143381, 286741, 430101, 573461?\nAnswer: 716821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/14, -14\/3, 6591, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -150*j - 1003. Give a(-11).\nAnswer: 647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33310 + -130232?\nAnswer: -230202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27994?\nAnswer: 2, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 192 + -92. Let z = -99.6 + a. What is the third biggest value in -1\/4, 1\/2, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4658 and 949136.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -1\/6, 2\/15, 0, -2\/23, 10 in increasing order.\nAnswer: -1\/6, -2\/23, 0, 2\/15, 1\/7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 2. Let a be l(13). Let d be ((-250)\/a)\/(1\/(-72)). Round d to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.021 and -60323211.\nAnswer: -60323211.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -23, 1, 31, 67?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2019 divided by 1\nAnswer: 2019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 349622 and 2486?\nAnswer: 3845842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25713 + -25718. Let p(g) = g**2 - g + 11. Give p(z).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -32 - ((3\/(-63))\/((-43)\/8729) + (-5)\/3)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 8:26 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 208.1 + 97.7. Let j = 310 - y. Round j to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -182*l**3 - l**2 - 2*l - 1. What are the prime factors of f(-1)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, a: 15}. What is prob of picking 3 a?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.88 (b) 1\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**4\/4 + 1645*j**3\/2 + 180675*j**2 + 26618355*j\/2 + 52517295\/4 = 0. What is j?\nAnswer: -219, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69 and 51.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600 (base 7) in base 12?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 2)*5\/40. Let c(x) be the third derivative of -x**4\/24 + 2*x**3\/3 + 4*x**2. Let a be c(4). Are y and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4875.48 to the nearest 100.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9580\/9 at least 1065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-69)\/9)\/((-5)\/15). Let z = c + -21. Let w(y) = 9*y**z + 0*y**2 + 6*y**2. Let r(g) = -g**2. Calculate w(r(l)).\nAnswer: 15*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 - n + 3. Let o be c(1). Suppose -o*f + 8*f = 13400. Round f to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1052405 by -5.\nAnswer: -210481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -306369 (base 11) to base 13\nAnswer: -142998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + 3*g**3 + 0*g**3)*(-2*g**2 + 4*g**2 + 4*g**2) + g**2 + 0*g**2 + 2*g**5 + 0*g**2 + 8*g.\nAnswer: 14*g**5 + g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-5))\/(19\/95). Which is the biggest value? (a) i (b) 4 (c) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 459, 749, 1023, 1275, 1499, 1689?\nAnswer: 1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 401*z**2 + 3509*z - 2190. Find the first derivative of g(t) wrt t.\nAnswer: 802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*k - 0*k. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*y + 193 + 346, -l + y + 542 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 2:02 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((11 - 7) + -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67093 and 2342847?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (170\/425*-2*(-10)\/12)\/(-2)*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2201355, 4402777, 6604199?\n\"Answer: 2201422*u - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 6*r - 2. Let p be a(-7). Find the second derivative of n**p + 7*n**4 - 7*n**4 - 5*n wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/17 greater than or equal to 2.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = 0, -4*t = -2*f + 4*f - 18. Suppose -f*j + 26 = -4. Let o be 2\/(-5) - 704\/(-10). Calculate the highest common divisor of o and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-4))\/((85\/(-40))\/(-17))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050371 plus 0?\nAnswer: 1050371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31132512 (base 6) to base 7.\nAnswer: -10432154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -23\/37, 0.4, 35, 0.37, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - (-3 - (-6 - -2)). Calculate the remainder when 16\/56 - (-425)\/d is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12326\/5 (b) -4\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 t, and 1 v when four letters picked without replacement from {t: 2, b: 2, e: 1, r: 3, v: 2, n: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 26, -2\/7, -5, -1\/7.\nAnswer: -5, -2\/7, -1\/7, 1\/6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -93296, -93183, -93002, -92759, -92460, -92111?\n\"Answer: -w**3 + 40*w**2 - 93335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3151975763.\nAnswer: 17, 185410339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(2)*-4 - (sqrt(121)*-1 + sqrt(121))\/sqrt(11))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -1\/3*d**4 + 3 + 1\/30*d**5 + 0*d - d**2 + 4\/3*d**3. Let j(f) be the second derivative of g(f). Factor j(z).\nAnswer: 2*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/7 - 124\/56) + (-106)\/(-53). What is the third smallest value in -3, q, -1\/3, 3\/43, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*d - 30*d - 22*d = -4*q - 21, -13*d - 135 = -5*q + 13*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*y = 6, -t = 2*t - 2*y - 20. Let l = -3 + 2. Let z = t + l. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0804 - -0.9196. Let f = -0.02 - -0.42. Suppose -20 = -0*h + 4*h. What is the closest to -1 in f, y, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*g**5 + 8248*g**2 - 2*g + 504528 wrt g.\nAnswer: -1220*g**3 + 16496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 1, m: 8, h: 1}. Give prob of sequence mmm.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 3*l**2 - 2*l + 1. Let i be w(1). Suppose 2*t = 5*r - t - i, -4*t + 8 = -2*r. Solve r = -3*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 + 64*i**2 + 290*i + 173. Determine d(36).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 396819.643901 - 396981.644. Let u = 162 + n. Round u to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 2:06 AM?\nAnswer: 569","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:09 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 9:35 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, j: 2}. Give prob of picking 1 l and 2 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/27))**(1\/59)\/(z\/(z**(17\/5)\/z)*(z\/((z\/(z*(z*z\/(z\/(z**(-18)*z)))\/z*z*z))\/z))\/z*z) assuming z is positive.\nAnswer: z**(114841\/7965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467397 is divided by 492.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + -2 + -4 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from qqfqqfqf.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -21. Calculate the greatest common factor of 18 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2 + (-2 - 1 + 2)*(1 - 2 + 0) - 1 - 4 + 6)*(-l**3 + l**3 - 5*l**3) + (-l - 4*l + 3*l)*(2*l**2 - 3*l**2 + 0*l**2).\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*l + 918 + 11*l + 29*l + 12*l + 12*l as s*l + x and give x.\nAnswer: 918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 - 18. What are the prime factors of r?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50619 and 546?\nAnswer: 9212658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/258312 and -29\/158345256.\nAnswer: 158345256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 3 - (3 + -6). Let a(t) = 0*t - 5*t + 3*t. Let l(g) = -20*g - 118. Let o be l(-7). Let m(w) = 23*w - 1. Calculate o*a(q) + y*m(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**4 + 41*d**3 - 127*d**2 - 256*d + 666. Let x(s) = s**4 + 5*s**3 - 16*s**2 - 32*s + 84. Let q(c) = 6*h(c) - 51*x(c). Factor q(k).\nAnswer: -3*(k - 3)*(k - 2)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 6*d - 3. Let w be b(-6). Let q(g) = -2*g - 4*g**3 - 138*g**2 + 71*g**2 + 70*g**2 - 1 - 3*g**3. Is q(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4854*l + 4903*l - 2205 = 0 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7569842047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*v - 2*a - 4 = 0, -2*a + 8 = 0. Calculate the highest common divisor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Let t = -2.5455 - 0.4545. Which is the third smallest value? (a) 0.15 (b) -0.1 (c) t (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -j. Suppose -4 + j = -2*n. Suppose 0 = -2*w + v, -4*v - 2 - 4 = -n*w. What is the second biggest value in -4\/7, w, 1\/4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + 31*n + 53. Let x = 68 - 51. Let t be s(x). Find w, given that 1\/4*w**3 - 1\/4*w**t - 1\/8*w + 1\/8 - 1\/8*w**5 + 1\/8*w**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1988 + 1861. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*s - 214, 5*p - 2*s = -16 + 286. Calculate the common denominator of -8\/7 and 538\/p - 2\/(-14).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 89. Let t = c - 66. Solve 2*g + n = 11, 5*g - t*n - 23 = -3*n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.2869191 years?\nAnswer: 0.002869191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 7*u**2 + 3*u + 17. What is l(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 27599.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4349*g**2 + 36873341*g - 36873341*g.\nAnswer: -4349*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*v + v = -60, -5*v - 22 = 3*s. Let j be ((-16)\/s + (-10)\/70)*5. Find the second derivative of -8*p**j - 195*p - 2*p**5 + 159*p wrt p.\nAnswer: -200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89799.66 kilograms to milligrams.\nAnswer: 89799660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23063*a**2 + 23063*a**2 + 5680*a**3.\nAnswer: 5680*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 + 53327*k + 106683. What is u(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from jjyyjyjyjjyjjyjjjj?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 767607519 a multiple of 659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59418589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2. Suppose -3 - 9 = -2*t. Let k(n) = 2*n + 6. Let h(j) = 2*j + 7. Let u(r) = t*h(r) - 7*k(r). What is i(u(a))?\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5062 is divided by 2515?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2064864 divided by 1.\nAnswer: -2064864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/((o**(-8)*o*o)\/o*o)*o*o*o*o\/o**(-5))**(15\/4) assuming o is positive.\nAnswer: o**(255\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9330 plus -0.4577189?\nAnswer: -9330.4577189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 70205, 140416, 210629, 280844, 351061?\n\"Answer: k**2 + 70208*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-24)*0\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25351456 - 4?\nAnswer: 25351452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32471723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115904316 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/10 and 61\/3498.\nAnswer: 17490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n\/((n*n**(-2\/3)*n)\/n))\/n*n**(-5\/3)\/n*n*n\/(n\/(n\/((n**(-36)\/n)\/n)))*n**26 assuming n is positive.\nAnswer: n**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**3 - 2*g**3 - 2*g**3)*(8*g + 11*g - 4*g) in the form c*g**4 + j*g**2 + y*g + i + n*g**3 and give c.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 9. Let d(c) = -c**2 - 5. Let f(n) = -n**2 - 4. Let x(u) = v*f(u) - 4*d(u). Find z, given that x(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225261047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/10*(-10)\/8. Let p = 6 - 4. Suppose -13 = n - 3*h, -p*n + 4*h - 21 = 3*n. Is n equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-15)\/v*v**13*v)\/((v*(v*(v**9*v*v)\/v*v*v)\/v)\/v**11) assuming v is positive.\nAnswer: v**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38.5608 + 38.4. Let f = b + 0.16. What is f rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 2*m + 3*m + 36, 4*m - 18 = -2*o. Suppose 0*q + o = 3*q. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4537, 8911, 13031, 16771, 20005, 22607, 24451, 25411?\n\"Answer: -21*l**3 - l**2 + 4524*l + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(896)*3*-4 + sqrt(896) + sqrt(896))\/(sqrt(72) + (sqrt(72) - (sqrt(72) + sqrt(72)*-1) - sqrt(72)) - sqrt(10)\/sqrt(5)*-4)*2)**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 10:17 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**3 - 5*r**2 + 8*r + 1. Let i(a) = 14*a**3 - 15*a**2 + 23*a + 2. Let v(k) = 17*h(k) - 6*i(k). Is v(-5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*z - 3*z. Let x = 7 + z. Let w be -2 + (-3 - x)\/(-2). Put w, -4\/5, 0 in descending order.\nAnswer: w, 0, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 12*y**2 - 12*y + 13. Let s be b(13). What is the second derivative of 6*g**2 - 18*g**2 - 15*g**2 + s*g wrt g?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:55 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3343793\/42 - 79608. Let l = v + -35\/6. Let t = -2.95 - 0.05. What is the nearest to -2\/3 in t, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = 1 - 13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8208894*f - 6093237.\nAnswer: 8208894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -260 - -269. Calculate the highest common factor of 477 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1197.6 and -1?\nAnswer: 1197.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k + x - 35, 2*k - 2*x - 34 = 0. What is the second derivative of -35*v**3 - 1 + 20*v - 165*v**3 - 18*v - k wrt v?\nAnswer: -1200*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-341)\/(-62))\/(((3\/(-6))\/(-1))\/(-1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 15, 30, 51, 78, 111, 150?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oodl when four letters picked without replacement from ooymlldmdydjmy?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-3)*g)\/g)\/g*g)**29)**(-2\/13)*((g**(-1))**18)**30 assuming g is positive.\nAnswer: g**(-6846\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyaaazyyzzaazaaza. Give prob of picking 2 z and 1 y.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2328 divided by 582.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 0 = 3*k. Suppose 0*u - 4*u + k*m - 15 = 0, 6 = -3*u + 2*m. Suppose u*p - 4*p - 4*j = -2260, 3*j + 2825 = 5*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, f: 7}. What is prob of picking 2 f and 1 v?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 0.01 (c) -0.5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209.\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 378*z - 18 = -2*m - 379*z, -4*m - 64 = -3*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**4\/4 - w**3\/3 - 4*w**2 - 8*w - 174. What is the remainder when y(-4) is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -6 + (-28 - 17 - -86)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(114)\/sqrt(6))**2 - (2 + (sqrt(19) - sqrt(76)))**2)*2.\nAnswer: -10 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7907900 and 8216.\nAnswer: 15815800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 8*u - 3. Let v be q(-7). Suppose d - v*d - 4*y = 13, -2*y - 13 = -5*d. Let h be (d\/(-3))\/(4\/(-12)). Solve 2 = n + h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/777919 - 568658565\/87126928. Let n be (-100)\/(-64) + (-2)\/8. Let o = h + n. What is the common denominator of o and -103\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 503 (b) 0.5 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - o**2 + 7*o**2 - 3*o**2)*(-12 + 12 + o)*(1 + 3 - 1) to the form k*o**2 + w*o**3 + f + i*o and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + (-10 - (10 - 14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**6\/180 + z**5\/20 + z**4\/4 + 10*z**3 - 21. Let j(y) be the third derivative of u(y). Is 26 a factor of j(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.11258281 to two dps.\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-3))\/(5\/(-75)). Let a be 2\/(-5) - 27\/s. Solve 1 = -a*l + 4*o + 4, -2*o - 1 = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, 1.9, -2\/9, -3\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-14)\/w**(-13) assuming w is positive.\nAnswer: 1\/w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47159934 or 47159932?\nAnswer: 47159934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -565360 (base 8) in base 13?\nAnswer: -6905c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - q - 6, 4*q + 0 = 16. Suppose 2 = -u*f + 6*f. Differentiate v**4 - 3*v**4 + 1 + f - 2 wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178505242 to the power of 1\/4, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 5*p - 5*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 15*i - 11. Let l(y) = -14*y + 10. Let n(v) = 5*g(v) + 6*l(v). Let m be -136 + 140 - (0 - -7). Let d(o) = -5*o + 0*o + 2 + 1. What is m*n(r) + 5*d(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -344.2 * 403.4.\nAnswer: -138850.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 332509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47\/221 - -1\/17. Suppose -2*g = -7*g. Let v = 0.1 + 1.9. What is the biggest value in b, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 - 213 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*1*sqrt(396))**2 - 1*(sqrt(396) + 5 + (sqrt(396)*1 - sqrt(396))).\nAnswer: -6*sqrt(11) + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-90)*80\/192)\/((-2)\/(-12)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 2*p + 8. Let l be f(-4). Suppose l = 12*d - 7*d. Suppose -11203 = -4*v + 3*r - d*r, -5*v + 5*r = -14010. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2383407 or 26?\nAnswer: -2383407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 463 + -432?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*y - 42*y + 6*y - 216 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 244 and -5.\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**3 + 5*r**2 - 2186*r - 4374. Give m(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14744435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -10. Let h = 4 - s. Factor -81*a**h + 2 - 6 - 81*a**2 - 27*a + 1.\nAnswer: -3*(3*a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30 (b) -4\/13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 39889, 44626, 49363, 54100, 58837, 63574?\n\"Answer: 4737*q + 35152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkbuquubkuuqbuqyu. What is prob of sequence ky?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2138*r - 4 + 0 - 1177*r - 768*r.\nAnswer: -4083*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**2 - 262*v**3 + v**4 - 290 + 291 + 4*v - 3*v + v**2 to q*v**2 + j*v**4 + b + d*v + s*v**3 and give s.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 22*g + 36. Suppose 0*p = -7*p + 147. Let m be o(p). Solve 6*w - m = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 30. Suppose -2*y - z = -x, -y = -3*y + 2*z + 24. Let d = -6 - -9. Solve -4*j + 8 = 0, 4*j = -d*b + y + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 52453*j - 37. Is t(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/1439 (b) -1\/5 (c) -15 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vld. Give prob of sequence dv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5408)\/2704*(-1)\/((-19)\/(-3)).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.01 (b) -0.4 (c) 1159 (d) -8 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-25))\/((-1)\/(-30)). Let l be ((-20)\/o)\/(1\/(-186)). What is the units digit of l\/(-18) + 8\/(-36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -24*a**3 - 5*a**2 + 40. Let i(y) = -14*y**3 - 3*y**2 + 19. Determine 5*i(v) - 3*u(v).\nAnswer: 2*v**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 3*v. Let s(o) = 3*o**2 - 10*o - 5. Let n(t) = s(t) + 2*z(t). Let h be n(5). Solve h = 4*j + j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.301003um to millimeters.\nAnswer: 0.009301003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.19 * 37.3\nAnswer: -44.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3 + h**3 + 11*h - 4*h**3 + h**3. Let f be s(8). Let c = f + 1386. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*1*-6)\/((sqrt(90) - 2*sqrt(90))\/sqrt(10)*1).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -3280 in descending order.\nAnswer: 0, -4, -3280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*k - 81*k - 15 = 0. Solve w + 4*n - 3 = 5, 2*w - k*n = 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y - 3. Let h(u) = -3 - 2*u**2 + 3*u**y + 2 - u**3 - u + u**2. Let i = -4 + 3. Determine h(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5157306266 to the nearest integer?\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 22*n**2 - 7*n + 4. Is w(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 8453339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -79, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1057 + 1056.8. What is the fourth biggest value in 5, j, 8, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9128 and 94866?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*i - 1094, 5*i + 3*s - 1030 = 808. Suppose -79 = 5*c + 4*q, -2*c - 26 = 5*q + 9. What is the tens digit of i\/12 - c\/90?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5683192 + -5683192.03080267. Let i = d - -0.0308. Round i to seven decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2\/(h*h\/h**(1\/7)))\/(h*h**1)**(2\/95)*((h\/h**1)\/h)**(-33)\/(h*h\/h**(-5)*h**(-7)) assuming h is positive.\nAnswer: h**(22012\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 2 - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/3738466 and -47\/10050?\nAnswer: 280384950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7)*z)**(3\/16)*((z*z**2)\/z*z)**(-26))**(-12) assuming z is positive.\nAnswer: z**(26127\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27298*u**2 + 74 - 3*u - u**3 - 73 - 3*u.\nAnswer: -u**3 - 27298*u**2 - 6*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111064771 divided by -1.\nAnswer: -111064771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(65) + sqrt(65)*-5*-1 + sqrt(65))*3)\/(4*(((sqrt(245) - (sqrt(245) - sqrt(245)*1)) + sqrt(245) + sqrt(245))*-3 + sqrt(245))))**2.\nAnswer: 117\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98072052.\nAnswer: 2, 3, 13, 37, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 9:46 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16933226*f**3*t - 151*f**2*t + 1681*f**2 + 5*t wrt f?\nAnswer: -101599356*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35079901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*p - 36. Let y(j) = j**2 + 2*j - 4. Let d be y(-6). Let s = d - p. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4135 and 132181891.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32 - -12)*((-480605)\/(-15) + (-1)\/3). What is m rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from mmmmhmmmmmmmmhmmmm.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, 145, 430, 879, 1522, 2389?\n\"Answer: 5*b**3 + 37*b**2 + 5*b - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002020010220 + 2?\nAnswer: 2002020010222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122.252 + -0.252. Let y = i + -118. Which is the nearest to -6? (a) -2\/11 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3801 divided by -181.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - i - i = -6, 3*i - 16 = -2*f. Suppose 6*l + 8 = f*l. What is the tens digit of 4\/l*497\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(392) - (sqrt(392) + sqrt(392)*2*4 + sqrt(392))) + (sqrt(392) - -2*sqrt(392))*2)\/(sqrt(196)*1*-3*-6))**2.\nAnswer: 19\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16659, 30683, 44707?\n\"Answer: 14024*p + 2635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-22*((-9)\/(-6))\/(6\/3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + (-10 - -47) - 19 - 46.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -27, 0.2, -16.06?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b + 3. Let i(z) = 100*z - 9. Let d(o) = -i(o) - 6*j(o). Determine d(-2).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 496 + -3967\/8. Which is the third smallest value? (a) s (b) -0.2 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42407327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (0 - 509\/5115). Let l = -4\/465 - y. Find the common denominator of -25\/4 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-314)\/(-78) + 17 + (-182 - -161)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 18 = 5*l + 7, 2*l = 5*s + 5. Calculate the remainder when 68\/5 - l\/25 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h + h**4)*(-h - h + 0*h) + 207*h**5 + 2626 - 2626.\nAnswer: 205*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*i + 0)*(38 - 140 + 59) + 2*i + 0*i - 3*i + (-i - 1 + 1)*(2 - 1 + 1).\nAnswer: -89*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*t = -214. Let w(y) = 115 + t - 222 - 36*y - 11*y. Let l(c) = 8*c**2. Give w(l(u)).\nAnswer: -376*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**5\/7 - 5362*l**4 + 21452*l**3 - 75092*l**2\/7 - 150162*l\/7 + 112626\/7 = 0?\nAnswer: -18771, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2*l = 44, -48*o + 55*o - 5*l - 146 = 0 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/133 + 395\/266. Suppose -2*y + 2 = 4. Which is bigger: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -187 in 1.34, -4, 9, -1\/5, 2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 4. What is w(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + x**2 - x + 2. Let v be o(0). Suppose 6*a = 2*f + 3*a - 18, 5*f = 4*a + 31. Solve -f*q = -v - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 165 = 16*b. What are the prime factors of b?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545\/218*(-4)\/(-6)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 6:04 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(68)*-2 + sqrt(68) + 2)**2 - (((-1*sqrt(833) + -1 - sqrt(833)) + sqrt(833) + sqrt(833))**2 + -3 + -2 + sqrt(833)))*4.\nAnswer: -60*sqrt(17) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9894453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -343, 4, 5, -6, 2.\nAnswer: -343, -6, 2, 4, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 237066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpggffpoyyffyyoygy. Give prob of picking 2 f and 1 y.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/112 and 29\/4984.\nAnswer: 9968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-90)\/880*8\/6)\/((-465)\/(-20)) and 47\/1395?\nAnswer: 15345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1108332 or 1108297?\nAnswer: 1108332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 21321.4, -2\/7, 1\/4 in ascending order.\nAnswer: -2\/7, 1\/4, 3, 21321.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**5 - 294340*n**4 - 29187225*n**3 - 84912500*n**2 + 1177420*n + 113216640 = 0. Calculate n.\nAnswer: -96, -2, 1, 58967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 47. Let h = -293 + 57. Is l\/(-1*(-8)\/h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 737, 1092, 1661, 2426, 3369?\n\"Answer: -3*s**3 + 125*s**2 + s + 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/6301 + 422171\/12602. Let s(v) = -v**2 - 3*v + 7. Let r be s(-5). What is the common denominator of (-142)\/r*12\/(-32) and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 907920\/47724 + 4\/(-164)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 14)*((-20)\/6)\/(-10). Let a be r\/((-35)\/(-12))*(-21)\/6. Solve -f = a - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88867.196 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13496272 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2885*j**2 + 4246*j**2 + 2733*j**2 + 3 - 9865*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7970967?\nAnswer: 3, 98407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 8*q**2 - 2*q + 20. Let f be w(8). Suppose f*r + 3 = 19. Suppose -4*b - r = -44. Calculate the smallest common multiple of 7 and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 17*r**2 - 29*r + 34. What is the tens digit of m(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, l: 6, s: 5, k: 1, g: 3, f: 3}. What is prob of picking 2 l, 1 f, and 1 k?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 25, -5, -4, 4, -2 in descending order.\nAnswer: 25, 4, 2, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*j = -144*j + 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 431*q**2 + 3491*q - 45269. Give b(423).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0805 - 0.0805357. What is r rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2806 - -2804. Let y(k) be the third derivative of -55*k**4\/24 - 11*k**3\/6 - 2*k**2. What is the units digit of y(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9)*q**(-9))**(-2\/15) assuming q is positive.\nAnswer: q**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 108889 and 108890 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 4*g + 2. Let r be z(4). Let f be (-16)\/(-6) - 8\/(-6). Let y(o) = 2*o**2 - 4*o**2 + f*o**r. Let b(q) = -2*q**2. Determine b(y(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44496622 to the power of 1\/2, to the nearest integer?\nAnswer: 6671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 109518?\nAnswer: 109518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2562*s**3 - 2*s**2 + 205*s wrt s?\nAnswer: -15372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/50)\/(101\/1010)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6205 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 6*q - 45*q = 35*q + 526, -4*q = 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a - 38 = -11*a + 5*w, w + 13 = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -382316 times 808?\nAnswer: -308911328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8239511 at most as big as 8239510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/4)\/(3\/12). Suppose 2*q - 9 = -s. Suppose -1 = -19*d + 14*d - m, 3*d + 2*m = 2. Which is smaller: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejeeeddse. Give prob of sequence js.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12341 - -142331?\nAnswer: 210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 2*x = 9*n + 18, -5*x = 4*n - 33. Let f(p) be the first derivative of -21\/2*p**2 + n*p**3 + 14 + 0*p. Find the second derivative of f(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, z: 1, f: 6, n: 1, i: 2, g: 1}. Give prob of sequence cznc.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:34 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*j + 43 + 1457. Let g(o) = 12*o**2 - 2*o + 1. Calculate the remainder when j is divided by g(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2471 + -1480. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 2563176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*((j - 4*j - 6*j)*(0 - 1 + 2) - 2*j + j + 0*j + 0 + 0 + 2*j + (-1 - 1 + 0)*(-3*j - 3*j + 4*j) + j + 4*j - 2*j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**6*b**(2\/7))\/((b**(-3)*b)\/(b\/(b*b\/(b**6*b)))))**(-11) assuming b is positive.\nAnswer: b**(-1177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 - 3*i + 5. Suppose 9 = -4*c - 5*s, 2*c + 8 = -c - 4*s. Let z be o(c). Suppose -z = 4*n - 149. Calculate the remainder when n is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341852763431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*c - 0*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2. Let i(m) be the third derivative of 0*m**4 + 0 - 58*m**2 + 0*m**3 + 0*m + 37\/15*m**5. What is i(l(y))?\nAnswer: 592*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*u)*(-1 + u + 1 + 0*u + 2*u - 3*u + (-u + 4*u - 2*u)*(-3 + 0 + 1) - 6 + 6 + 4*u)*(-13 + u + 13) as o + w*u**2 + t*u**3 + q*u and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**6\/30 - o**5\/20 + 17*o**4\/6 - 64*o**2. Find the second derivative of i(f) wrt f.\nAnswer: -24*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*(-212)\/6*3\/3.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33627*n - 50279?\nAnswer: -33627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158.652 millilitres in litres?\nAnswer: 1.158652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.9 (b) 1 (c) 5 (d) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 7:01 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/2)\/(-3))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10211332 (base 4) to base 6.\nAnswer: -223034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 283 + -166. Suppose 2*p - 4*f + n = 5*p, 3*p - 126 = -f. List the prime factors of p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/9 + 626*t**4\/9 - 57344*t**3\/9 + 1325672*t**2\/9 - 11441792*t\/9 + 33552896\/9 = 0. What is t?\nAnswer: 8, 13, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 2*r**2 + 2*r - 1. Let g be p(1). Put 2, 3, g in decreasing order.\nAnswer: 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.07 or 1870\/1291?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*y + 12327, y = 43*u - 39*u - 16424. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 298, -5, 0.9, 2\/9, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*m = -2*w - 62*m + 766, 5*w + 5*m - 1900 = 0. Let k = 386 - w. Let b(p) be the first derivative of -p**4\/4 + 4*p**3\/3 + p**2\/2 - 1. What is b(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12659*y - 3*y**2 - 12652*y + 7*y**3 + 3*y**6 - 5*y**2 wrt y?\nAnswer: 360*y**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.46 + 0.06. Suppose -c - 4*c + 3*i = -14, 4*i = 5*c - 12. Let b = 3 + -7. What is the second biggest value in b, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 10*n**2 - 6*n + 15. Let r(z) = 8*z + 13. Let o(w) = -w**2 + 5*w - 7. Let a be o(4). Let f be r(a). What are the prime factors of d(f)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-2)\/3) + (-70)\/(-52). Which is the nearest to 0.1? (a) h (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 + 6426202*w\/7.\nAnswer: 2*w*(w + 3213101)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 13*d**8\/336 - d**4\/8 + d**2. Find the second derivative of o(p) wrt p.\nAnswer: 260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8186 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 5*l**5 + (2*l + 0*l - 4*l)*(l**4 + l - l) + 9*l - 4*l**5 - l**5 + 6*l**5 - 2*l**3.\nAnswer: 4*l**5 - 2*l**3 + 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-8)*-6 - -13. Suppose 0 = 4*b - 2*z - 0 - a, -5*b - 2*z = -26. Suppose -2*p + 6*g + 6 = 3*g, -b = -g. Solve p = -4*h + h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = -n. Let x(d) = -d + 2. Let z be x(0). Let g(b) = -2*b**2 + z*b**2 + 2 - 2*b**2 - 3. Calculate g(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(850) - -2*sqrt(850)*6) + 1*sqrt(850)*5)\/(-3*(sqrt(4)\/sqrt(2) + sqrt(2)) - (-2*sqrt(18))\/sqrt(9))*5.\nAnswer: -225*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 564, -473, -1510, -2547, -3584?\n\"Answer: -1037*u + 1601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 826700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 289*v**2 + 7 - 292*v**2 - 10 - 15 to the form o*v**2 + d + a*v and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -41415063 (base 8) to base 5\nAnswer: -4222213111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/6*-1)\/((-15)\/(1080\/(-12))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-40) + (-9)\/90?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 360, 393, 426, 459, 492, 525?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*s. Let w = -54 - -197. Suppose -4*r = -r + 5*k - 92, -w = -5*r + s*k. List the prime factors of r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 169 + -154. Suppose -5*b + 2*l = -o, -2*b + 3 = 4*l - 27. Solve 5*m = -b*n + m - 26, -2*m - 2 = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 11*j - 8. Let o = 6 + -16. Let x be b(o). Suppose h - 12 + x = 0. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1162*o - 220 = 1151*o for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*y = -121*y + 3. Let w(v) = 3*v**3 + v + 1. Let f(k) = 8*k**3 - 35*k**2 + 36*k + 76. Let p(z) = y*f(z) - w(z). Suppose p(r) = 0. Calculate r.\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19022484?\nAnswer: 2, 3, 13, 61, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-8) + (-15)\/(-420)*-7. Solve o = -t + 3, 2*a - 5*t + 9 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -575863, -575857, -575851?\n\"Answer: 6*s - 575869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1542660.265 rounded to the nearest 100?\nAnswer: -1542700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 343 + -413. Does 33 divide (7\/l*-5)\/(2\/2932)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.2 times -0.2?\nAnswer: -13.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/22 and -31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**4 - 2*n + n**4 + 9*n + (-4*n + 3*n**2 + 4*n**2 + 3*n)*(n**2 + n**2 + n**2).\nAnswer: 25*n**4 - 3*n**3 + 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f - 5. Let j(l) = 9. Let z(t) = 11. Let m(h) = -5*j(h) + 4*z(h). Calculate -a(w) + 6*m(w).\nAnswer: -7*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 4816 = 5*u. What is the remainder when u is divided by (-46)\/(-345) + (-1226)\/(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f + 9. Let t be (2\/(-4))\/(1\/(-16)). Let o(a) = 3*a - 4. Let c be o(4). Let y(g) = g - 22 + c - 7*g + g. Determine t*r(d) + 5*y(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*sqrt(2736)*-1.\nAnswer: -12*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/29, 0, -3 in decreasing order.\nAnswer: 0, -1\/29, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -16. Let u = 9 + n. What is the nearest to 0.1 in u, 2\/7, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2010571.\nAnswer: 2010571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from ttyyytyyyysttyoy.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1440.492ng to milligrams.\nAnswer: 0.001440492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millimeter in micrometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 794*t + 510*t + 147 = -366*t - 100053 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 3*t + 2*t**3)*(29 + 10 - 11)*(1 - 2 + 2)*(-2 - 4 + 3) - t**3 + 3*t**3 - 3*t**3.\nAnswer: -169*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 96?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -41. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0045550904 rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + h = 538, -4*f - h - 367 = -6*f. List the prime factors of f.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 5*o. Let f be a(-4). Let g be -5*((-8)\/(-18) - 2415\/27). Suppose -f*h + 9*h = g. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -247, 2.1, 16?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 20*g + 18. Is 6 a factor of l(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*z - 1257423. Let d = z + 1059139. Let h be d + 5 + -3*1. What is h rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*h = 0, 3*h = -3*z + 6*z - 27. Suppose -z*n + 18 + 6 = 0. Suppose 6 = v - n. What is the least common multiple of 2 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 60*p**2 + 11*p + 2. Let b(y) = 172*y**2 + 31*y + 6. Calculate -6*b(f) + 17*t(f).\nAnswer: -12*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -19 + 3. Let a be c - 73\/(3 + -4). Which is smaller: a or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1589892?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h**(-7)*h*h)\/h*h*h\/((((h\/h**0)\/h)\/h*h)\/h*h)*h*h**(3\/2)\/(h\/(h**4*h*h)*h) assuming h is positive.\nAnswer: h**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:01 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 560\/(-830) + (-4)\/(-6). Let q = s + 1006\/1245. What is the closest to 2\/7 in q, 5, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.124, -5, 0.2.\nAnswer: -5, -0.124, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3 - 14*g - 12*g**4 - 5*g**2 - 2*g**5 - g**6 + 8*g**4 + 25*g**4 + 4*g**4 + 10*g**5 wrt g?\nAnswer: -120*g**3 + 480*g**2 + 600*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nneg when four letters picked without replacement from ngnegneeeene.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1830.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2\/3*s**3 + 8\/3 - 2\/3*s**2 - 8\/3*s = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 46*g - 16. Suppose -6*u = -3*u - 4*i - 9, -4*i = 2*u - 6. Let r be x(u). Suppose -2*k - 4 = -4*d - 72, d = 3*k - r. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -74, -209, -420, -713, -1094?\nAnswer: -1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7522442 is divided by 211.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 52*h + 438 = -31*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 554\/5985 + 4\/315. Let p = 9\/994 + 21517\/38766. Let f = 16\/13 - p. What is the smallest value in -1\/4, a, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51550 rounded to the nearest one hundred?\nAnswer: 51600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 499 + -498.92. Let f = 0.41 - 4.41. Put d, f, 5, -6 in ascending order.\nAnswer: -6, f, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 298470*m**4 + 4*m**3 - 895410*m**2 + 596928*m + 8 = 0. Calculate m.\nAnswer: -2, -2\/149235, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 180330427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - c - 176 = -599, -3*n + 645 = 5*c. Let k = n - 121. Suppose -3*p = -2*o - k, 0 = 3*o - 2*o - 2. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.020008 - 0.02. Round w to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 327503+-5\nAnswer: 327498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*k**4 - 1115*k**3 + 130*k**2.\nAnswer: 5*k**2*(k - 13)*(17*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - q - 5. Suppose -2*y + 5*b = 2*y - 25, -4*y + b = -5. Let m be w(y). Suppose 0 = -5*v, t + 9 - 11 = v. Sort m, 1, t.\nAnswer: m, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 26\/7)*(-42)\/27. Let 2\/3*d**5 - u*d**2 - 8\/3*d**4 + 2\/3*d + 4*d**3 + 0 = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3300*l**2 + l + 2. Let f be o(-1). Let n(j) = f*j - 3313*j - 1 - 1. Let t(a) = -2*a**2. Determine t(n(h)).\nAnswer: -288*h**2 - 96*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 25146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.319857804 - 42.319854704. Let a = 41.991 + 0.009. Let o = c + a. Round o to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-10))\/32*40.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v = 17 + 32 + 23 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - c - 644 = -35*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5209180 and 26788.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*c - 27 + 6 = 0, -z + 3 = -5*c. Calculate the remainder when z is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/9 - (-2)\/(-3). Let x(l) = -l**2 + 1. Let w = 18 + -16. Let s be x(w). Put u, 1, s in decreasing order.\nAnswer: 1, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417 + 243 = 30*i. Calculate the least common multiple of i and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1931 + 121?\nAnswer: -1810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i - 5. Let a(s) = 0 - 4*s - 2 - 1 + 1. Let w(g) = 5*a(g) - 2*z(g). Let x(k) = k. Calculate w(x(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2741 = l, 0*q = 2*l + q + 5454. Suppose 5*p = -12519 - 17271. Let n = l - p. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -609*y. Let k(d) = -d - 2*d + 4*d. What is k(a(t))?\nAnswer: -609*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -23. What is the remainder when 49 is divided by 21 - ((6 - 2) + k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + 3 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y = 30*y. Suppose 7*r - 5*r - 90 = y. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13037324 (base 8) to base 13.\nAnswer: 7a6aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*d = 180, -t = 2*d - 3*d - 34. What is the remainder when ((-5432)\/(-42))\/(4\/6) is divided by t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131.63150347 - -32.\nAnswer: -99.63150347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1267 (base 15) to base 12\nAnswer: -232a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*r**3 + 2*r**3 - 9*r**3 - r**2 + r in the form o*r**3 + d + k*r + p*r**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.55 + 23.45. Let x = -23.99992 + n. Round x to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:40 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290254099.\nAnswer: 59, 4919561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*f + 30*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 7*t - 4. Calculate the remainder when 25 is divided by s(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 79651761 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/((-63)\/(-78)) - -11. Calculate the highest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106024377300 rounded to the nearest 1000000?\nAnswer: -106024000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 4:10 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k**3 - 5*k**2 - 7*k. Let p(a) = 9*a**3 + 20*a**2 + 16*a. Let j(v) = -3*v**3 - 6*v**2 - 5*v. Let y(u) = 7*j(u) + 2*p(u). Calculate 4*t(n) - 9*y(n).\nAnswer: 3*n**3 - 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6145 = -8*h. Suppose -4*g - 3*f = -0*f - h, 0 = -5*g - 3*f + 1540. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -14, 26, 88, 178, 302, 466, 676?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -156, -5, 7, 2 in decreasing order.\nAnswer: 7, 2, 1, -4, -5, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2470175 by -5.\nAnswer: -494035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 8 + 3)*(0 - 1 - 1)*(-13*a**3 + 13*a**3 + 3*a**4).\nAnswer: -90*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/340*-4)\/(52\/(-10))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -40*x**2. Let a(i) be the third derivative of 13*i**4\/12 + 95*i**2. What is n(a(z))?\nAnswer: -27040*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/186373318?\nAnswer: 3\/186373318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/3468 and 99\/767584?\nAnswer: 2302752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-150)\/(-1950) + (-411878)\/(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2992179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**4*p))**30)**(8\/3) assuming p is positive.\nAnswer: p**(-320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*j - 155 = 0. Let w = 140 + j. Let f = 178 - w. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - (18 - 16) - -38.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -7. Let z = 3 - -2. Suppose -z*b - 6 - 9 = 0. Sort b, x, 0.\nAnswer: b, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**4\/6 - f**3\/2 - f**2\/2 - 21*f. Give o(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*z + 0*z - 9*z)*(2*z**3 - z**2 + z**2) + 2*z**4 - 4*z**2 + 4*z**2.\nAnswer: -48*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 times -6.2?\nAnswer: -892.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/2, 0.3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 6*g**2 - 2*g - 5. Let z be (2 + (-3 - -4))*-2. What is the units digit of v(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2179 + -2131. Solve 12*k + 0*k + p = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 910?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -1\/2*u**2 - 11 + 2\/3*u**3 + 10*u. Is b(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11d300 + -105?\nAnswer: 11d1d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5694 + 5771. Calculate the remainder when x is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*u = 0, -5*k + 2*u = -1 + 3. Let t be (-35)\/8 + 351\/936. What is the closest to t in 1\/9, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*r**4 - 4528*r**3 + 4*r**2 - 26183*r - 5 wrt r?\nAnswer: 1224*r - 27168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 - 39. Suppose -6*u + 2*u + 32 = 4*i, 2*u = 4*i - 8. Suppose -i*r = -2*j + 50, -j + 5*r + 20 = -17. What is the remainder when k is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 less than 1106928?\nAnswer: 1106653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 182226 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1029845.748283928765 + 4527346159.351708161235. Let c = 4528375967 - u. Let z = 38.1 + c. Round z to 7 dps.\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*y)*(-18 + 10 + 11) + (y - 3 + 3)*(5 + 0 - 3) + 0*y + 2*y + 0*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*r**2 + 5360*r + 5376*r - 10736*r - 28*r**2.\nAnswer: 148*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 3*a + a)*(0 + 0 + 2*a) - 5*a + 5*a + 4*a**2 - 2 + 2 - a**2 + (0*a + a + a)*(2*a - a - 3*a).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1127*n + 10. Let r be u(-6). Suppose 0 = 7*k + 563 - r. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, -2, 8 in increasing order.\nAnswer: -12, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7143889 divided by 246341?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/49 (b) 0.4 (c) 1\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 - h**4 + h**4 + (-2*h + 0*h - 5*h)*(5*h**4 + h**3 - h**3) - 5*h**5 - h**5 + 5*h**5 + (-4*h**4 - 2 + 2)*(2*h + 0*h - 4*h).\nAnswer: -26*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k**3 - k - 1. Let p(b) = b + 1. Calculate d(o) + p(o).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 0.1, 3, -6.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**1*c*c*c)\/c**(-2\/13))**(-30))**(-7\/2))**(3\/43) assuming c is positive.\nAnswer: c**(17010\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1988)\/(-1065)*45\/(-35)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40529016 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9541275 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 34 = -2*j, -2*j + 0*f + 20 = -3*f. Let p = j - 8. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -375634152 by -4086.\nAnswer: 91932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69871135*k**3 - 362791567*k.\nAnswer: 419226810*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 18*l + 4. Let s be r(18). Suppose s*b - b = -3*z - 195, 5*z = 3*b + 187. Let i = b - -74. What is the remainder when 19 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 53*p + 48*p = 16, v = -5*p - 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*k + 43, -2*a = 3*k - 96 + 20. Let r = -30 + a. Suppose 1 = -3*u - 8. Sort u, r, -5, 3 in increasing order.\nAnswer: -5, u, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2556874537 to the nearest one million.\nAnswer: 2557000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(42\/5))**(-46)*(j**16)**(-41) assuming j is positive.\nAnswer: j**(-5442\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.289 and -0.4.\nAnswer: -2.9156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 3836.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 1:39 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 336688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 100776315, 100776318, 100776321?\n\"Answer: 3*x + 100776312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9003234 to the power of 1\/2, to the nearest integer?\nAnswer: 3001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - 1 + 1 - 3*t**3 - 4*t**3 + 0*t**3 + (t - t - t**2)*(1 + 3*t - 1) - 2 + 2 + t**3 to the form g*t**2 + d*t + j*t**3 + h and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3848479?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Let k = h + 66. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6841651465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146520285 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**4 + 2 - 10*h**2 + 8*h - 17*h + 8*h in the form r*h**3 + g + y*h**4 + w*h + b*h**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iia when three letters picked without replacement from aaaaaiaaaaaiaaai?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -252 - 117 - 4428*y**2 + 4436*y**2 to v*y**2 + r + x*y and give r.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 7*k + 5*k - 6*k + 12*k + 8*k + (3 + 0 - 4)*(3*k + k + k))*(-2 + 0 + 5) to the form x + q*k and give q.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 4. Let v(c) = -5 + 4 + 0. Determine -r(z) + 3*v(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -20*t**3 - 20*t**2 + 3*t + 3. Let h(c) = 7*c**3 + 7*c**2 - c - 1. Let q = 20 + -14. Let p(u) = q*b(u) + 17*h(u). Let w = -1 - -1. What is p(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 62*q**2 + 79*q + 7. What are the prime factors of v(-60)?\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - z + 6 = 0, -h + 4*z - 4 = h. Let t be (6\/(-2))\/((-1)\/1). Let o(l) = 2 - 2 - t*l. Let v(b) = b. Calculate h*o(r) + 7*v(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6098576 = 176*h - 6982692 + 1354564. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92.6 + 87. Let w = r + 5.7. Let g = 13 + -18. Which is the closest to w? (a) 2\/15 (b) g (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + j - 3. Let r be q(-6). Suppose 4*i - r + 3 = 0. Solve -3*n - i = -6*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, n: 7}. What is prob of sequence ffn?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1316 and -179\/3948.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((112\/(-8))\/7)\/((-116)\/(-101)) and 103\/18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -786, -1810, -4598, -10032, -18994, -32366, -51030?\n\"Answer: -147*g**3 + 5*g - 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7813.0242 milliseconds?\nAnswer: 0.0021702845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.33, -0.3, -3, 2\/7, -5.\nAnswer: -5, -3, -0.33, -0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-11)\/6)*-2082. Suppose -4*g - 59 + x = 0. What is the least common multiple of 30 and g?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -143101223 (base 5) in base 15?\nAnswer: -ed30d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -72*z**2 - 4. Let n(q) = -q**2. Give n(d(y)).\nAnswer: -5184*y**4 - 576*y**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.022 - 4.978. Let n = 41 - 37. What is the second biggest value in -3, n, u, 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - d = -6*h - 15, 3*d = -15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Convert 20029.74g to nanograms.\nAnswer: 20029740000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*t + 14, -7*w + 10 = -12*w + 5*t. Solve -5*r + 0*r - 15 = 0, -s - w*r - 11 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - 0.01. Let c = -0.29 - d. What is c rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.6 + 7. Let j = i - 4. What is the smallest value in -0.5, j, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 9*u - 21 = -10*u, 2*j - 4*u - 26 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 3*i**4 + 44*i**2 + 38*i**2 + i - 83*i**2 in the form o*i + v + d*i**4 + x*i**2 + l*i**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5640*d**2. Let s(j) = 12*j**2 + 4 - 5 + 1 - 10*j**2. Give s(i(u)).\nAnswer: 63619200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-182)\/52)\/(((-8)\/4*-1)\/12).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5197370 is divided by 1740.\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -39. Suppose 3*q + 4 - z = 0. Find the second derivative of -11*d + q*d + 0*d**2 - 4*d + 6*d**2 wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3250 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15665\/561 - 294\/11. Calculate the common denominator of h and -5\/18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -j + 157 - 32, 2*g = -3*j + 65. Solve 2*b = 5*x - g, -4*x = 3*b - 0*x - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 11) in base 13?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08315 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 12. Let d(q) = q**3 + 21*q**2 - 21*q + 25. Let i be d(-22). Suppose 0 = 2*w + 6 - 0. Let p = i + w. Calculate t(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 418\/(-22) + 26 - (8 + 23)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 8*f + 9, 3*f = -5*u - 1694. Let y = u + 341. Solve y*o + 25 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3 + sqrt(1008) + sqrt(1008) + 1 + 3 + 3*(-1*sqrt(1008) - sqrt(1008)))*-5*4)**2 + -5.\nAnswer: -36480*sqrt(7) + 6451556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1010, 101, -4, -41 in ascending order.\nAnswer: -1010, -41, -4, 1, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34a3 (base 11) to base 14.\nAnswer: -195c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 + 459280*r - 459318*r.\nAnswer: -38*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-208)\/4*55\/(-20). What is the greatest common factor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 12:16 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 2*l + l)*(-3 - 4*l + 3 - l - 3*l + 2*l + 2*l + l - 4*l + (-1 - 3 + 2)*(-1 + 1 + l) - 2*l + 3*l - 3*l).\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 102755, 102750, 102735, 102704, 102651?\n\"Answer: -q**3 + q**2 - q + 102756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*b**3*v*x - 2*b**3*x - 3315*b**2*v*x - 3*b**2*x + b*x + 23*b + 72*x with respect to v.\nAnswer: -20*b**3*x - 3315*b**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 3*m + 2*m)*((-3*m + 34*m - 58*m)*(-5*m + 4*m + 3*m) - 7*m**2 + m + 3*m**2 + 3*m**2).\nAnswer: 110*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1662*k + 85. Is q(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, r: 2, y: 2}. Give prob of sequence ry.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 - 312728*y\/11 + 12224850248\/11.\nAnswer: 2*(y - 78182)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -528287 or 0.128?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**3 + 24*q**2 - 24*q - 4?\nAnswer: -12*q + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 4:31 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4873 - -4873. Let k(y) be the first derivative of 4*y**2 + 0*y**3 + f*y**4 - 22 + 0*y**5 + 4\/3*y**6 + 0*y. What is the second derivative of k(a) wrt a?\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1117, 1118, 1119, 1120, 1121?\nAnswer: 1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**3*t**3 + 3*k**3 - k*t**3 + 359*k + 3*t**2 wrt t?\nAnswer: -3*k**3*t**2 - 3*k*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -0.1, -157, 0, -40?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + (sqrt(3) - (2 + sqrt(3))) + sqrt(3) - ((sqrt(75) - (3 + sqrt(75) - sqrt(75)) - sqrt(75))**2 + -3).\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 6*d + 2*d)*(0*d**2 + 0*d**2 + 2*d**2)*(-5 - 1 + 4) + 0 + 4*d**3 + 0.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 3*k + 66. Let w = k - 19. Suppose 8*h - w*h = -5. What is the nearest to h in 5, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - 52. What is the second smallest value in -0.2, 3, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 1:53 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykukykx. Give prob of picking 2 k, 1 x, and 1 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxx when three letters picked without replacement from {w: 1, k: 8, x: 6}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + -3. Let v = o + 10. Suppose -2*p = -p + m - 7, 0 = 5*p + v*m - 29. Solve p*f - 12 = 3*h, -3*f + h - 1 + 9 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + 12*w**2 - 1. Let r(s) = -10*s**3 + 71*s**2 + 19*s - 19. What is -6*g(u) + r(u)?\nAnswer: 2*u**3 - u**2 + 19*u - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:14 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.1 + 3. Let o = 1.1 + x. Suppose 4*h = -5*c + 17, -2*h - h - 3*c + 9 = 0. Sort -3, o, h in ascending order.\nAnswer: -3, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 24, -0.02, -0.5 in decreasing order.\nAnswer: 24, -0.02, -0.5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 94?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 6698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = -17*o - 124. Let j(q) = -99*q + 57. Is j(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*w + 2*w. Suppose 2*t = -4 + w. Put t, -1, 3 in decreasing order.\nAnswer: 3, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764) + 3*sqrt(1764) + (sqrt(49) - sqrt(2401)*-4))\/(-2*(sqrt(252) - sqrt(252)*-2) - 4*(sqrt(252)*-2 + sqrt(252))).\nAnswer: -53*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -9.3, -11 in ascending order.\nAnswer: -11, -9.3, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 322, 651, 1114?\nAnswer: 1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 13 + 5 + 5 - 6 - 7*c. Let f(i) = -4*i + 9. Let o(q) = 11*f(q) - 6*k(q). What are the prime factors of o(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 14*x + 44. Let o be a(-10). Let u be (-18)\/(-8)*((-80)\/(-12) - o). What is the greatest common divisor of 9 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3636*t + 4095*t - 18819 = 0 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 612, -19, 4, -0.4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 0*x + 48 = 4*a, 5*a - x + 0*x = 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/42)\/((-3)\/63) + (-3)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-5*d + 2 - 2)*(-d**2 + 6*d**2 - 3*d**2) + 0*d**3 + 0*d**3 - 3*d**3.\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -312*j**2 + 740 + 731 - 1471 to the form c*j + w + n*j**2 and give n.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97744982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -516 - -1033\/2. What is the nearest to 0 in -0.1, s, -0.4, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.3 (b) 6 (c) 2\/19 (d) -0.456 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, c: 17}. Give prob of picking 2 c.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*y + 114*y = 222*y + 992. Calculate the greatest common factor of 92 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwj when three letters picked without replacement from {w: 1, j: 1, p: 2, e: 2, d: 4, r: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 8*n - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00116976487 rounded to five decimal places?\nAnswer: 0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 12*k**2 - 10*k - 2. Let w(f) = 37*f**2 - 29*f - 5. Let s(d) = -17*a(d) + 6*w(d). Is s(1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1447*i + 945 = -1482*i for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 411642 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33199?\nAnswer: 33199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 67\/5 of a millennium?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4590010*r**2*u**2 + 2*r*u**2 - 224*r*u + 2*u**2 - 165 wrt r?\nAnswer: -9180020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/8 (b) 1 (c) 0 (d) -7.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 + 4280208.\nAnswer: 4280221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**5\/150 + 22*i**4\/15 - 1936*i**3\/15 + 178*i**2. Factor n(v).\nAnswer: -2*(v - 44)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*w = -171*w - 616. Which is bigger: w or 461\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*a**6*t - 1303*a**3*t**3 + 3732*a**2*t**3 + a**2 - 2*a*t**2 wrt a.\nAnswer: 2400*a**3*t - 7818*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 12\/605?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 783628 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 7 - 6)*(-8 + 6 - 11)*(-5*h + 4*h - 5*h)*(-3*h - 2*h**2 + 3*h).\nAnswer: -2028*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39.76 - 44.21. What is the third smallest value in r, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10604 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/38)*d**(-1\/13)*d**(-22)*d**(-18)\/d*d assuming d is positive.\nAnswer: d**(-19811\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-140)\/(-12))\/(50\/24 + -2). Suppose 3*t = 163 + q. List the prime factors of t.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 91 - 185 + 6*a**2 + 94.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -100 times -10\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**4 + p**3 - 4*p**2 + 4*p - 5. Let r(l) = l**4 - l**3 + 6*l**2 - 6*l + 7. Let d(f) = 7*k(f) + 5*r(f). Suppose d(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-1)*z**(1\/5)\/(((z\/z**(5\/6))\/z)\/z) assuming z is positive.\nAnswer: z**(31\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60403302 is divided by 68?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6351)\/(-145) + 4\/20. Solve 0 = -5*s - 6*s + k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from pphhphpppp?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -12*t. Let b be i(2). Let n = b + 12. Let u = -4 - n. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 364 by -252.\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) - sqrt(70)*1)*6 - sqrt(70) - sqrt(70) - sqrt(70))*1)\/(-1*sqrt(360)*-4).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -1\/9, -0.2 in ascending order.\nAnswer: -0.2, -1\/9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 3. Let o = -3 - 0. Let i be s(o). Let p(d) = 5*d + 0 + 2 + d**2 + i. Calculate p(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 10, -4\/7, -3, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = 16. Suppose 0 = -27*l + d*l + 6354. Is l a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 0*v + 11 + 1\/2*v**4 + 0*v**3 - 29\/2*v**2 - 18\/5*v**5. Find the second derivative of u(z) wrt z.\nAnswer: -216*z**2 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31539 is divided by 255?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000332672 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9218, -74013, -249882, -592361, -1156986, -1999293, -3174818?\n\"Answer: -9256*g**3 - g**2 + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-4)*x))\/x**(-2\/9))**(-3\/5)*((((((x\/x**(-12))\/x)\/x)\/x)\/x)\/x**(3\/4))**12 assuming x is positive.\nAnswer: x**(1456\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3436965 is divided by 1010.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001355513 to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 6*f**2 + 14*f + 46. What is l(-6)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-10)\/(-4))\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221203 + -122120010?\nAnswer: -121232201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243*(-28)\/546 + 47\/((-11609)\/(-114)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s + 7. Let b(k) = -k. Let d(m) = -6*b(m) + j(m). Give d(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 83*t**6\/30 - 86*t**5\/15 - t**4\/12 + 671*t**2. What is the third derivative of l(f) wrt f?\nAnswer: 1992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-3)*36\/14. Suppose -b = -3*b + 4. Solve 0 = -b*d + d + 2, 4*d - q = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/246 and 59\/96?\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**(-33))**(-2\/23)\/((i**(-3)*i**1)\/(i\/(i*i**(-2\/17))*i*(i\/i**(3\/4))\/i)) assuming i is positive.\nAnswer: i**(-5273\/1564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 209160 and 34860.\nAnswer: 209160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117178 (base 11) to base 5.\nAnswer: -21411330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22c405 (base 13) to base 12.\nAnswer: 33a541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 5*k**2 - 4*k + 2. Let o be l(-5). Let f = o - 2. Suppose 4*j - f = -16. Solve i = -0*i - j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (721 - 721 + 74*u)*(-u + u - 5*u)*(4*u**3 - u**3 - u**3) + (u**2 - 3 + 3)*(-4*u**3 + 2*u**3 + 4*u**3).\nAnswer: -738*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 3312?\nAnswer: -3325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2647370 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 5 - (13 + -26 + 13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.13 (b) 0.3 (c) -27 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-six fifths of a millennium?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*v + 7 + 158 = 0. Put -2, v, 9 in ascending order.\nAnswer: v, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h - 7. Let t be s(-9). Suppose 0 = -4*p - 9 + t, 0 = -5*f + 5*p - 25. Suppose f = 2*i - 0 - 4. Solve 4*w - i*g = -6*g + 16, 5*w + 20 = 5*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -16.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111995830 divided by -523345.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 2 - 13)*(59*g**3 - 14*g**3 + 7*g**3) as b + m*g**2 + u*g**3 + o*g and give u.\nAnswer: -988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-272*x - 5 + 87*x + 120*x - 451*x + 3)*(0 + 3 - 2) as f + v*x and give v.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6119000 rounded to the nearest 100000?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -36) + 2 + -304 + 305.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 31, -29.76, 1\/5, 5.4?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7808 + 8609. Let y = 70703590554 - 70703589752.99999094. Let l = f - y. What is l rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 837 and 143406.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26131098783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 622847822?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y + 61*y - 37*y - 21*y - 27*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsssnnsnssns. Give prob of sequence ssn.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/65 and -34\/74325.\nAnswer: 966225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 2 - sqrt(19))*3 + 0)*-3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 5, -1.3, -0.5, -774, 2\/5, -2\/3, -4?\nAnswer: -774","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 - 3*w**2 + 4*w**2 - 2*w**2 + w**2 + 0*w**2 + (-w - w + 4*w)*(-4*w - 3*w + 6*w) + w**2 + 5*w**2 - 5*w**2 + (-41 - 72*w**2 + 41)*(2 - 2 + 2).\nAnswer: -149*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + (61 + -46 - (15 - -63)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 4. Suppose -3*j - 3*a - 9 = -2*a, 0 = -3*j - 4*a. Calculate f(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6474 or 6475?\nAnswer: 6474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**3 - 3550163*l + 3550163*l.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r + 4. Let i(x) = x**3 - 6*x**2 + 4*x - 2. Let s be i(5). Let m be o(s). What is the greatest common factor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((-3 + -9 - -10) + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18940, 18597, 18312, 18091, 17940, 17865, 17872, 17967?\nAnswer: 18156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1 - 0)*38\/(-76)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6824004 divided by -1137334\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20416*u + 22945*u - 42821*u.\nAnswer: 540*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**2 + 151*m - 212. Determine s(-23).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 - 3*n**5 + 0*n**5 + (0*n + n + n)*(0*n**4 - 3*n**4 + 2*n**4) + 11*n**5 + 6*n**5 + 7*n**5 - 2*n**5 - 2*n**5 - 2*n**5.\nAnswer: 15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkukkupuououukkkkp. Give prob of picking 2 u.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 46*d + 203. What are the prime factors of i(41)?\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902326354.\nAnswer: 2, 11171, 40387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/13 and 145\/54.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*f - 4, -5*n + 10 = 2*f - 10. Suppose f*j = 2*j - 10. Let h(s) = -8*s**2 + 5*s + 1. Let q(o) = 7*o**2 - 4*o - 1. What is j*h(y) + 6*q(y)?\nAnswer: 2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6761192 millennia in months?\nAnswer: 8113.4304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) -3 (c) 1\/4 (d) 19 (e) -3\/4 (f) 4 (g) 0.17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llq when three letters picked without replacement from cllclcclqcccaclc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/(l\/((l*l\/(l*l**(3\/14)\/l)*l)\/l)))*l*l*l))**(-1\/12)\/(l**16*l*l**(8\/11)))**(-15) assuming l is positive.\nAnswer: l**(162865\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11437, 11424, 11409, 11392?\nAnswer: 11373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.6 from 1.078.\nAnswer: -2.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35078874 divided by 126183.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 10.1. Let h be -3 - (-85)\/(-748)*-12. Is h at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84989 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 45. Let w be b(0). Suppose -4*s = g - 16, 42 = -g + 5*g + 5*s. Suppose -y + 1 = -g. What is the greatest common factor of y and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1781*i**3 + 2*i**2 - 68*i - 69. What is the tens digit of x(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307 = 5*t + 297, -2*j = -2*t + 32 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1453452 divided by 84\nAnswer: -17303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -7. Let w = t - -3. Let c(d) = -d. What is the smallest common multiple of w and c(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -86*m**2 + 28*m - 7. Let d(x) = -19*x**2 + 7*x - 2. Let p(n) = -9*d(n) + 2*y(n). Let w = -15 - -32. Suppose 7 + w = -4*g. Calculate p(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25346, 101330, 227972, 405272, 633230, 911846?\nAnswer: 1241120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3601 = 5*j, 1300 = 2*g + 5*j - 2311. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-4)\/8 - -33 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47044107 (base 8) to base 16.\nAnswer: 9c4847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2 + (0 - 1 - 1)*(4 + 1 - 3) + 4 + 3 + 4)*(-3*p - p + 3*p - p + 3*p - 6*p + (-3*p + 3*p - 2*p)*(0 - 2 + 4) + 2*p - 3*p - p + 2*p + 4*p - 5*p).\nAnswer: -80*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 24*l**2 - 82*l - 29. Let c be v(-20). Solve 0 = -n + 1, -9*a - 9 = -c*a + n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 5877 (c) 1450\/11 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0\/f)\/f**(-2))\/(f**(2\/17)\/f*f\/(f*f**(-3)))*f**0*f**(-1\/3)*(f\/(f*f**(1\/2)))**(2\/43) assuming f is positive.\nAnswer: f**(-3233\/2193)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65 and 9.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + 0 + sqrt(931) + 4)**2 - (-1 + -1 + (sqrt(38)\/sqrt(2))**2 - (2*sqrt(304) + (-1 + sqrt(19))*4)).\nAnswer: 40*sqrt(19) + 914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 5*h**4\/12 + 3*h**2 + 4*h. Find the first derivative of c(n) wrt n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 329, 15\/2 in descending order.\nAnswer: 329, 15\/2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -613\/3750 - 2\/625. Suppose 22*w = -18 + 18. What is the fourth smallest value in r, w, -0.5, -4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 6:23 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**2\/3 - 1424*w\/3 + 506944\/3 = 0.\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.079891858729 + 7730.\nAnswer: 7729.920108141271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c. Suppose c = -h - h + 14. Solve 2*o - 1 = h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1871 - 1849 - (-1 + 47)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 2*u + 12. Let c(b) be the second derivative of b**4\/6 - b**3\/2 + 6*b**2 + 3*b - 71. Calculate -2*c(g) + 3*y(g).\nAnswer: 2*g**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0 + (-13 + 2 + 0)*(-4 + 3 - 1))*(0*m**2 - 7*m**2 + m**2 - 2*m).\nAnswer: -144*m**2 - 48*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4*v)\/v**(-5)*(v*v\/(v**(1\/2)*v*v)*v)\/v**(-4))**(-10\/9) assuming v is positive.\nAnswer: v**(-145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-864)\/(-6))\/6*2\/3. Let o(w) = 8 + w**2 + 17 - 40 + f. Let i(v) = v**3 - 3*v**2 - v - 3. Determine -i(z) - 3*o(z).\nAnswer: -z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 18*x. Let g be c(3). Suppose q + g = 3*q. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2320 = -5*b + 9640. List the prime factors of b.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*g + 176 - 448 = 211 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -8, -1\/15, -2 in descending order.\nAnswer: -1\/15, -2\/3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 2*m + 3*m**4 + (-18*m**2 - 31*m**2 - 16*m**2)*(8*m + 4*m**2 - 8*m).\nAnswer: -257*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2352788.\nAnswer: 2, 43, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/13? (a) 6265 (b) 2393 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2597006806 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 130, 292, 478, 664?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 5*s**2 + 3*s - 3. Let z be y(-4). Let h(p) = 4*p - 1. Let l be h(z). Let q be 2\/(-4)*0\/(-2). Solve q = l*d + 1 + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 - 14431703.\nAnswer: -14431701.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-11)\/(-55)*-41 + -9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 5*c - 5, 5*w + 9 = 5*c + 2*w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8*x. Let r(a) = 2*a. Let g(c) = -3*k(c) - 10*r(c). Let n(d) = 328 - 2*d - 328. Give n(g(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10878, -43517, -97916, -174075, -271994, -391673, -533112?\nAnswer: -696311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 22675878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6455, -6453, -6451, -6449?\n\"Answer: 2*f - 6457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.929 + -21. Let v = -38 + 37.6. Which is the smallest value? (a) v (b) -1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -32.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 11:01 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 10. Suppose 16*b - 741 = 187. Suppose 0 = n*i - 3*k - b, -i = i - 4*k - 12. What is the lowest common multiple of 4 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3044? (a) -10 (b) -24\/49 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*x + 195*x + 2*x**2 - 432*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 4*g**2 + 15*g + 20. Suppose -9 = 4*b + 15. Let j be r(b). Sort j, 1, -1.\nAnswer: -1, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(539) + -1 + sqrt(539) + -1 + ((sqrt(539) + (sqrt(539) - (sqrt(539) + -1))**2)*-6 + sqrt(539) - (sqrt(539) + 0 + 2)).\nAnswer: -21*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 620\/217 + 2\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2313 - 0.5313. Which is the nearest to 11? (a) 0.5 (b) -3 (c) y (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12311 (base 4) to base 7\nAnswer: -1163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32796 is divided by 31764?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/651 and 59\/315.\nAnswer: 9765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3100\/3 + 1011. Calculate the common denominator of n and 51\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l - 5 - 2 - 2*l - 4*l as x*l + q and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = -15*r - 164. Find the second derivative of r*p**4 + 11*p + 16*p - 40*p wrt p.\nAnswer: 492*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(22\/(-10) + 2). Let r be s*(4 - 3) + -1. What is the units digit of (-2*1)\/(r\/(-46))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27698691, 110794798, 249288309, 443179224, 692467543?\nAnswer: 997153266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -23 (b) 1 (c) -5 (d) -1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*c + 53*c + 66*c.\nAnswer: 84*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 + -140. Let m = 108 - 103.04. Let l = 0.04 + m. What is the second biggest value in l, p, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -95, -135, -177, -221?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l**3 - l**3 - 4*l**3)*(4 - 6 + 0 + (0 - 1 + 3)*(1 + 13 + 4))*(2 - 2*l - 2) to the form t*l + y*l**3 + d*l**2 + k + o*l**4 and give o.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 15*n = -19*n + 11, 5*r - 5*n - 20 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2818 - 0.0818. Which is the nearest to 1? (a) -5 (b) n (c) -0.4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11526 divided by 197?\nAnswer: -11526\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2 + 15. Let j(y) = -y**2 + 4. Suppose 0 = -29*q + 25*q + 60. Determine q*j(z) - 4*n(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3*f + 30*f - 4*f - 17*f + 3.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {g: 3, d: 2, v: 5, e: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -35*f + 51. Let j(o) = -16*o + 25. Determine -6*a(g) + 13*j(g).\nAnswer: 2*g + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14986 and 11557.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 58. Suppose 3*s = 5*s + 5*v + o, 3 = -v. Let a be -1 - s - 2 - -1. Is a != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + u + 8. Let v be (2\/10)\/(u\/(-30)). Suppose -5*t - 4*f - 38 = 0, 24195 = 5*t + f + 24212. What is the nearest to t in 5, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, 3, 0.06?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = 38*o - 37*o - 27, 5*o - 30 = -5*d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20876880?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -62*d**2. Let q(x) be the second derivative of x**4\/8 + 13*x**2\/2 + x - 36. Let s(g) be the first derivative of q(g). What is s(f(m))?\nAnswer: -186*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x + 9*x + 486. Let s(h) = -h + 319 - x - 155. Give s(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10000.8809418 and 39.\nAnswer: -9961.8809418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 6.6. Which is the third smallest value? (a) 1 (b) 3 (c) h (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -332*r**3 + 11482*r**2 - 11482*r**2 + (-1 + 2*r**2 + 1)*(2*r - r + 0*r) + (-3*r**3 + 3*r**3 - r**3)*(3 + 2 - 4).\nAnswer: -331*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 661 + -71381?\nAnswer: -70920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10 = 4*f. Let j(m) = m**3 + 7*m**2 + 2*m. Let s be j(-3). Suppose -6*q = -q - s. Solve 4*v = -3*b - 21, f*v + b = v - q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 569*g + 1111*g + 1857*g to m + l*g and give l.\nAnswer: 3537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-664)\/(-56) - (-2)\/14. Suppose -11*p = -7*p - i. Suppose p*v = -2*v + 20. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/50)\/(42\/8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -3, -0.6632, 0.2, 9, 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 97 and -1601.\nAnswer: -155297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 584 and 456949048.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23492 - (114\/27 - 2\/9).\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.19, 2.2, 2\/21.\nAnswer: 2\/21, 0.19, 2, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1388 and 26.5608.\nAnswer: 36866.3904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**2 + 2*o**2 - 5*o**2)*((0*o + 0*o + o)*(-3 - 3 + 7) + 2*o - 4*o + 3*o + 5*o - 2*o - 2*o) as q*o**3 + z*o + u*o**2 + l and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {f: 1, d: 2, e: 2, j: 3, q: 3, u: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 43. What are the prime factors of -10*(44\/8)\/(-1) - o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -4, 17 in increasing order.\nAnswer: -5, -4, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*m**2 - 54*m + 54*m)*(-14*m**2 + 14*m**2 + 21*m**3).\nAnswer: 630*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -349 (base 11) to base 6\nAnswer: -1532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 9 and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 1:40 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 - 4 = 0. Suppose -2*z - 2*k + 12 - 2 = 0, h*k = 3*z - 15. What is the greatest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3168885 and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(3 - 33\/(-6) - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 - (-188 - -84 - -33)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6347*p - 4162*p**3 - 12688*p + 6341*p + (-2*p - 3*p + 4*p)*(-p**2 + 0*p**2 + 3*p**2) - p**2 + p**2 + p**3.\nAnswer: -4163*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7678529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihhiiii. Give prob of sequence ihi.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(704) + sqrt(704) + -3 + 4 + (-1*sqrt(528))\/sqrt(3))**2.\nAnswer: 24*sqrt(11) + 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/2, -8, -1.7, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 8098.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 5784480.\nAnswer: 5784480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccwwcrww. Give prob of sequence wcw.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 77 - 72)*(18 + 1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 g when three letters picked without replacement from ggggghgyggygygygyg?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 + -1.05. Let r = -162 + 1136\/7. Which is the closest to v? (a) 4 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 45*h**2 + 493*h - 57. Calculate v(-27).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -257 - -247. Let t be (-1 + -7 + 6)\/(5\/y). Solve -3*g + t*x = -8, -5*g + 11 = 4*x - 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 12 - (-3 - -2)) + (47 - (28 - -34))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-18)*-3*-3. Suppose -z*o + o - 3 = 4*h, o + 3*h = 0. Let y = o - 6. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v - 3*w - 21 = 0, 0 = -2*v - w + 13. Let d be (10\/(-4) - (-3)\/v) + 16. Let n(m) = 3*m + 26. What is the units digit of n(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 309.78\nAnswer: -154.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, s: 6, c: 6, k: 3}. What is prob of picking 3 c?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 47*x + 219. What is the remainder when 205 is divided by r(50)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-9))\/4*-35*(-3621)\/2485?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k*o**3 + 51*k*o**2*v + 3*k*o + 139*o**3*v - 6641*o wrt v?\nAnswer: 51*k*o**2 + 139*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 2\/7, 35, 1\/4, 6\/455?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 400467347*g**3*z**3 + 132152*g**2 - 3*g*z**3 + g*z - z**2 wrt g?\nAnswer: 2402804082*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*b - 175*b = -16. Is 25\/(-2)*4520\/(-100) - b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 4. Suppose -4*l + 12 = 2*y, l - 11 + 3 = 2*y. Let o(c) = -c - 7. Calculate l*o(d) - 7*k(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 2068 = -2056 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1576.\nAnswer: 1\/394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 g when three letters picked without replacement from lvmjgtvj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(20\/5)*((-228)\/990)\/38?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0.2017 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76593.86ug in grams?\nAnswer: 0.07659386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(7\/3)*k*k)*k\/(k\/(k\/k**4)))\/(k**2*k**(1\/4)\/k) assuming k is positive.\nAnswer: k**(-91\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**2. Let s = 38 - 35. Let o(d) = 23*d - 21*d + 3 - s. Give o(m(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a. Let x be v(2). Let j(n) = 7*n**2 - 2 + 0*n**2 - 5*n - x*n**2. Is j(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6168*q**3*s + 2*q + 3*s - 738 wrt q.\nAnswer: -18504*q**2*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 1206ac9?\nAnswer: -1206ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -13 - (-1 - (4 + -7)). What are the prime factors of 20\/(-6)*216\/h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**5\/60 - k**4\/24 + 5*k**3\/2 - 20*k**2 + 5*k. Calculate g(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -20*h + 22*h - 45, 3*y - 2*h = 25. What is the highest common factor of 945 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 35\/25)\/((-2)\/10). Let o = f + 0. Solve -2 - 1 = o*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 60.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-54)\/(-45))\/((-4)\/10). Let b be (p\/2)\/(16\/32). Let l = -47\/120 - 5\/24. Sort b, l, -1 in increasing order.\nAnswer: b, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_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: Let h = 79 + -119. Let n = 40 + h. Let m(y) be the first derivative of -y**2\/2 - 12*y + 1. Give m(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpefpts. What is prob of sequence etp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*u + 5 = 0, 4*d + 68 - 69 = 3*d - 3*u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -8. Let h be (-46)\/(0 + 12\/6). Let m = h - i. Solve -3*n - 5*a - 16 = -6*n, m*a = -5*n - 35 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15 = -2*i. Suppose 2*j - 3*n - 3 - 1 = 0, 0 = -j - 5*n + i. Let c be 44\/77 - 2\/7. What is the third biggest value in j, -1\/6, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 9*i**3 + 126*i**2 + 216*i + 99. Let c(q) = q**2 - 1. Let n(o) = 15*c(o) + s(o). Solve n(a) = 0.\nAnswer: -14, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 105*b + 4814. Determine q(-56).\nAnswer: -1066","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71529043 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38476561?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-9))\/((-4)\/8391). Let p = c - 1355. Find the common denominator of p and 25\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(9\/6)*-1. Solve -5*z = 3*o + 1, z - 4 = -q*o - 0*o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 208\/(-12 - -38) + (-166)\/20. What is the closest to -12 in 0.2, -0.1, a, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 - 5 - 17)*((4*i + i - 3*i)*(-2 + 1 + 0) + i - 3 + 3) as r*i + w and give r.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0, -0.1, -29, -3.3892?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*h - 111 + 111 in the form n + m*h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 1931454?\nAnswer: -13520178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*f - 1 + 8, 3 = -f. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -51*x + 11. Let a(g) = 10*g - 2. Let y(i) = 33*a(i) + 6*s(i). Let t(h) = h. Let v(u) = -4*u. Let z(f) = 6*t(f) + 2*v(f). Determine y(z(j)).\nAnswer: -48*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008028 to 7 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -4. Let x = -3 + h. Let r = 4.5 + -4.5. Which is the closest to r? (a) -0.5 (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*g - 239*g + 144956 = 4*a, -3*g = 21. What is the ten thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (921\/(-6))\/((-2)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13)*b**19)\/(b\/b**(-5\/7)*b**(-3)\/b) assuming b is positive.\nAnswer: b**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 2, 13, -243 in decreasing order.\nAnswer: 13, 4, 2, -1, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2*t**(-1\/7)*(t*((t**(-2\/5)\/t)\/t)\/t*t)\/((t*t**13)\/t*t))**42 assuming t is positive.\nAnswer: t**(-2844\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -31 (b) 3 (c) 7 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4515180417, 4515180416, 4515180415?\n\"Answer: -b + 4515180418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488627 + 710623 = 650*b. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**6\/300 + k**5\/50 - k**4\/30 + 36*k**2. Solve t(a) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47038 = 7*i + 11121. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10. Suppose -10 = -7*a + 2*a. Let d(o) = o + a*o + y*o. Let l(j) = -2*j. Calculate l(d(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 22. Let c = t - -4. Let d = 1 + 0. Sort 0, d, c.\nAnswer: c, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -79*i - 1. Let u be y(-1). Let m be 2 + (-10)\/5 + u. Suppose 3*q = -2*c + 75, c - m = -3*q - 0*c. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23\/2 - 10. Let z be (-2 - -5)*(-4)\/(-30). What is the closest to z in d, 2\/7, 1\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -77*c + 287, -c + 2*h - 87 = -3*c + h - 95 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.99 - -0.01. Let i be (-196 + 198)\/(-13 - -1). What is the nearest to g in i, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -5, 4 in increasing order.\nAnswer: -5, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - c - 1. Let y(a) = -2*a**2 - 3*a - 2. Suppose -5*d = 5*t - 20, 0 = -t - 0*t - 5*d + 4. Let z be ((-3)\/t)\/(9\/(-24)). Calculate z*y(b) - 6*x(b).\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6804553?\nAnswer: 7, 972079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 2 - 2\/27*l**3 + 1\/3*l**2 - 4\/9*l. Solve r(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*q + 3*f = -45*q - 752, -136*q - 4*f + 10 = -138*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)*-6 + sqrt(576)\/sqrt(12) + (3*sqrt(300) + sqrt(3))**2 + -3.\nAnswer: -14*sqrt(3) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 15. Suppose -2*v = 4*k - c, -2*k + 4*v = -1 - 5. Solve -t = -2*a + 5, 1 - 4 = k*t + a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a + 2*o + 107, 0 = -a + 3*o + 38. Calculate the highest common factor of 595 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/9)\/((-8)\/(-12)). Which is the smallest value? (a) -5 (b) -0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 1 (c) -0.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 35. Solve -2*i + 3*f = -10, -3*i - 3*f = -8*f - h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13092763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21.9 + 29. Let x = k + -24.9. Are 2\/13 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -1\/3 (b) -2\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7\/s**(-10))\/(s**(-4\/7))**(16\/9) assuming s is positive.\nAnswer: s**(1135\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + 9144*v - 9130*v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -368?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, 0.1, 3, 5.\nAnswer: -6\/11, 0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -16 + 2 + 23*u + u**3 - 1 + 16*u**2 - 2*u**3. Is h(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2\/119, -5 in descending order.\nAnswer: 2\/9, 2\/119, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = -2*j - 9, -4*t = -4*j - 20. Let w(v) = -v**3 - 7*v**2 - 6*v - 2. Determine w(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4054596469?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * -2368.163.\nAnswer: 3552.2445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 374798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2 - 25) + 10 + 1 + 78?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 23. Let v(c) = 3*c**3 - 3*c**2 + 24*c - 76. Let o be v(3). Calculate the highest common divisor of o and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 18*d**3 - d. Let i be l(1). Let o = -19 + i. Let w = -6 - -8. Put o, -3, w in descending order.\nAnswer: w, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311.3507kg to nanograms.\nAnswer: 311350700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b**2 + 14*b. Let y be (-45)\/24 - (3 - (-69)\/(-24)). Let z(k) = 2*k**2 - 5*k. Give y*h(u) - 7*z(u).\nAnswer: -2*u**2 + 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -290.3 - -263.3. Sort q, -2\/7, -5 in descending order.\nAnswer: -2\/7, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*f + 92 = 3*d, 2*f = -5*d + 112. What is the remainder when d is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 10. Let a be v(7). Suppose -x + a*r = r - 41, -x + 45 = 2*r. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 - 59*u - 10. Calculate m(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2*sqrt(121)*1)\/(-5*(sqrt(176) - sqrt(11))))**2.\nAnswer: -181\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1294 = -2*b - 4*r, -16*r + 19*r = -3*b + 1932. Does 44 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (5 + -7) - (-19 + 25)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + sqrt(176) - (sqrt(176) + (-4*sqrt(176)*2 - sqrt(176))) - ((4 + sqrt(176)*-2 + -3*(sqrt(176) + 0))*-3)**2.\nAnswer: -39752 + 1476*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -792*b - 21*b**2 + 792*b + (-2*b + 2 - 2)*((-b + 1 - 1)*(-2 + 0 + 0) + 56*b + 88*b + 111*b) in the form p + g*b + h*b**2 and give h.\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**2 - 6*u - 1. Let j be h(4). Suppose j*p + p - 300 = 0. What is the greatest common factor of 25 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/112, -3479, -4, 1\/5?\nAnswer: -3479","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -113508 (base 9) to base 10\nAnswer: -68210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 20, 7*z - 60 = 5*z + 4*u. Suppose -a + 18 = -q, 5*q - 10 = 3*a - 106. Let p = z - q. What are the prime factors of p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 543, 2144, 4805, 8526, 13307, 19148?\nAnswer: 26049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12631757 to the nearest integer?\nAnswer: 3554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 - -3) - (-344 + 288)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 10, 9, -31.\nAnswer: -31, -5, 2, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v = 5. Suppose -v*u + 12 = -2*u, 3*u = 4*x - 8. Differentiate -l**3 + 6 + 0*l**3 + x*l**3 with respect to l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 3 (c) 5 (d) 0.042\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 0*m**2 - 23 + m - 5\/3*m**3. What is f(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*s + 8*s = 55*s + 1534 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27504b (base 12) to base 13.\nAnswer: -19a717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*c - 4*m - 30 = 0, -20 = c + 5*m. Suppose -4*q - 2*n = n, n = -c*q. Differentiate 0*b**2 + 2 + q*b**2 - 4*b**3 + 3*b**3 with respect to b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 2 + 4*d - 16*d + 50*d - 24*d + 27*d.\nAnswer: 44*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 7:00 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdkdkiiidkiki. What is prob of sequence kd?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1\/15, -1\/4, -0.01807, 3\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22691406 or 22691417?\nAnswer: 22691406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/2471105 and 73\/52.\nAnswer: 9884420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2905 is divided by 716?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -323167803*l**2 - 3*l - 75340256.\nAnswer: -646335606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 31 (c) 7.6 (d) 0.1 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03711 - -10.96289. Suppose 2*f = r - 9, f - 19 = 4*r + 4*f. Which is the nearest to r? (a) -2\/3 (b) p (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -191*o**2 - 9*o - 3. Let h = 15 + -13. Let a(i) = -i**2 - 4*i - 1. Let k(m) = h*a(m) - r(m). Find the second derivative of k(d) wrt d.\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 1 + w - 1\/8*w**4 + 1\/2*w**3 - 1\/10*w**5 + 5\/4*w**2. Factor h(g).\nAnswer: -(g - 2)*(g + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 20 - (-6 - -4 - 13)) + -4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 43624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c + 10*c - 20*c - 15)*(14*c**3 - 35*c**3 + 13*c**3).\nAnswer: 8*c**4 + 120*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.87402cm in meters?\nAnswer: 0.0387402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**3 - 175*k**2 - 100*k - 1341. What is s(-58)?\nAnswer: 1095","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -4)\/(-1 + 0). Suppose q - 4 = -0. Suppose o*w - 6 = u, w + 3*u = 6*w - q. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(4 - -2))\/(-1) - -57. Solve u*c - 63*c = -54 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k - 5. Give u(-12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/22 + -37\/44. Sort h, 1, 5.\nAnswer: h, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4776?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/294 - (-1)\/(-6). Let u = 70 + -69.1. Let w = u - 1.2. Which is the second biggest value? (a) w (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 1, l: 1, q: 1, t: 2, s: 2}. What is prob of sequence lt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 622408 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4\/7 - 119764*p**3\/7 + 119782*p**2\/7 + 136872*p - 1437192\/7 = 0.\nAnswer: -59883, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7413566 or -7413565?\nAnswer: -7413566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 39*m + 4822. Give a(93).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.96 - -0.04. Let a = 10.72 - h. Let r = a + -2.72. What is the smallest value in 2\/3, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**2 - 37*w - 241. Let c be s(-9). Let p be 6\/(-4)*100\/(-6). Let m be 15\/p + c\/(-930). Is -1 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + y = 12, 3*d + 4 = -3*y - y. Let x(i) = -4*i**3 - 4*i**2 - 3*i - 2. Let g be x(-2). Solve -d*s = -2*k, 4*k - s + g = -3*s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2152 and -69\/4304.\nAnswer: 4304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 8*w - 45. Let p = w - -15. Suppose 5*d + 5*k - 100 = p, d - 25 = -5*k + 3*k. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-4))\/(2\/(-16)). Suppose 8 = b*y - 2*y. Suppose 4*h - 16 = -8, 0 = -3*x + 4*h + 43. Solve -y*f - f = -12, 0 = 3*w + 5*f - x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5941*s - 9517*s - 1120700 = -4251*s for s.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/4 and (-15)\/(-6)*(-291)\/(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/20 (b) -5 (c) 0.02 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/214 and 89\/2?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -196, -115 in increasing order.\nAnswer: -196, -115, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8443 or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1278.9 (b) 1\/4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 14. Let l = 9.27 + -6.2. Let m = 0.07 - l. Which is the third smallest value? (a) -1 (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6761, -4, 1 in decreasing order.\nAnswer: 1, -4, -6761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 at most -71797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d**2 + 5*d + 916487 - d - 152*d**2 - 4*d**3 + 4*d**4 - 916367 = 0.\nAnswer: -5, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*o = 16, 5*i - 3*o + 6*o = -16. What is the remainder when 28 is divided by ((-3)\/(-9) + i)*-6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (41\/2)\/(14\/(-1204)*-43). Solve c*b = 22*b - 114 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -256*o**2 - 6*o + 380. Let l(w) = 257*w**2 + 5*w - 379. Let f(v) = 5*k(v) + 6*l(v). Differentiate f(h) with respect to h.\nAnswer: 524*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 72. Let z be j\/(-77) - 36\/(-14). Solve -i - 4*a - 16 = 0, z*a - 7*a = 4*i + 31 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w - 21 = -4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**2\/7 - 25432*v\/7 - 2452140\/7 = 0.\nAnswer: -95, 6453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 547294 and 458361.\nAnswer: 1005655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -9. Suppose d + l = 5. Solve -d*r + 5 = -10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**6\/360 - l**5\/60 - 7*l**4\/24 - 11*l**3\/3 - 2*l**2. Let c(q) be the first derivative of i(q). Calculate c(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13979393?\nAnswer: 13979393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168972 is divided by 305.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 51*d - 48*d. Factor -d*g + 82*g - 35*g + 5*g**2 - 25*g.\nAnswer: 5*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35230493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -57. Suppose a*p + 4*p + 5*q = 1887, 0 = 5*p - 4*q - 2328. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5218 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.236, 3, -39?\nAnswer: 0.236","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + (-27)\/18*10\/(-3). Suppose -90*n + 87*n + 6 = 0. Do q and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5160490, -10321000, -15481518, -20642044, -25802578?\n\"Answer: -4*v**2 - 5160498*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u)\/(u\/(u*u**(-4)))*u\/u**(-4\/9)*u**(1\/4) assuming u is positive.\nAnswer: u**(-11\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*z - 1200 + 6855. Suppose -146 = t - z. Which is the nearest to t? (a) -0.07 (b) -7\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 4, 26, 68, 136, 236?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2 + 10552*b - 27459.\nAnswer: -2*b + 10552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*j**2*k - 2106*g*j**2 + 6*g*k - 4*j**2*k + j**2 + 21*j*k + 22 with respect to g.\nAnswer: -j**2*k - 2106*j**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -492 times -30372?\nAnswer: 14943024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 79*k**3 + 6*k**2 - 16*k + 13. Let q be s(7). Is (9 + -11)\/((-8)\/q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 1\/2 (b) 93 (c) 72 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 3*l**5\/10 - l**4\/6 - l**3\/3 - l**2\/2 + 2*l + 114. Determine d(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 48273176, 48273171, 48273166, 48273161?\n\"Answer: -5*f + 48273181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1104 and -79\/690.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6 + (-48)\/9. Let x be (4\/t)\/((-2)\/(-15)). Let o = 0.1 + -0.4. Which is the third biggest value? (a) x (b) o (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38862?\nAnswer: 2, 3, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 + 24. Let p = -40.04 - i. Which is the closest to -0.1? (a) -0.5 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 34651*p + 277275. Give c(-8).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 0*c + 132*c**2 - 100*c**2 + (-3 - 2*c + 3)*(3*c - 2*c + 0*c).\nAnswer: 30*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 159*t**2 - 10*t - 18. Does 31 divide v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272 + -0.7159328\nAnswer: 271.2840672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21370, -42741, -64112?\nAnswer: -85483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386752511?\nAnswer: 487, 794153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/408 and 127\/1224?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -434*c**5 - 4*c**3 - 4532*c**2 + 2.\nAnswer: -26040*c**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/5 - 62*v**2\/5.\nAnswer: -2*v**2*(v + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9412, 9413, 9414?\n\"Answer: z + 9411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*v = 441, 3*z - 375 = -4*v - 104. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14351 = -755*v + 5279 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*z + 172*z + 22*z**2 - 2*z**3 - 3*z**4 - 85*z as y + h*z**2 + s*z**4 + m*z**3 + a*z and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95\/356 + -3\/178. Let k(g) be the third derivative of -11\/120*g**6 + 1\/3*g**3 + c*g**5 + 1\/70*g**7 + 0 + 0*g - g**2 - 3\/8*g**4. Factor k(q).\nAnswer: (q - 1)**3*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times 0.861555?\nAnswer: -0.1206177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -5, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8 = -2*a, 2*a - 4*i - i = 4. Let v(y) = -y**2 + 5*y - 1. Let m = 4 + 1. Let t be v(m). Sort a, t, -2.\nAnswer: a, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -49. Let m = -18 - q. What is the units digit of -20*(m - 12\/(-16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*g**2 - 25*g**2 + 2*g**2)*(4*g - g - 4*g) + (0*g + 0*g - g**2)*(-2 + g + 2).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 276798547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3*y + 137355, 36*j - 39*j + 82413 = 4*y. What are the prime factors of j?\nAnswer: 3, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -4. Let s = z - -3.9. What is the biggest value in 5, s, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451835?\nAnswer: 5, 23, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 2)*-2.\nAnswer: -4*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(364) + -2*sqrt(364))\/sqrt(7))\/((sqrt(96)\/sqrt(3))\/sqrt(8) + sqrt(4)))**2 + 2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5014505 divided by 7.\nAnswer: -5014505\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000885211 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 259\/(-111)*(-10)\/(-14).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1084 - 801 - 401 - 3041 - 1701)*(-12 - 10*g + 12).\nAnswer: 70280*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**4\/24 + 5*u**3\/6 + 3*u**2. Is k(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 5 = 11*j. Suppose -50 = -3*t + t. Calculate the remainder when 2 + (69 - (j - 0)) is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -140, 4 in descending order.\nAnswer: 5, 4, 1, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 767375839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -7. Suppose t - 6*t - u + 104 = 0, 4*t - 2*u - 86 = 0. What is the units digit of 132\/t - c\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -307*a**4\/4 + 910*a + 652. Find the first derivative of y(o) wrt o.\nAnswer: -921*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19963 greater than -1249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33\/45 + 1)*-12. Let o = p - -1409\/55. Calculate the common denominator of -45\/4 and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.318 in -2, 11.5, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -13 - 7 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -3336734.\nAnswer: 10010202","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1859293.\nAnswer: 53, 35081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -89739 greater than -987139\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-5) - 2)*4953\/(-156). Calculate the greatest common divisor of 5 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(833) + 1.\nAnswer: 1 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 571340390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**4 - 5*n**3 + 47*n**2 + 23*n - 11497. Let o(u) = -2*u**4 + 2*u**3 - 22*u**2 - 11*u + 5747. Let g(t) = 2*a(t) + 5*o(t). Differentiate g(d) wrt d.\nAnswer: -16*d**3 - 32*d - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5142772 (base 8) to base 3.\nAnswer: 2120011111022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-44)*44\/(-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-118)\/(-11) + (-6)\/(-22) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552 = -9*o + 21*o. Suppose 0 = -7*q - o + 200. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 354981\/20 + -17745. Find the common denominator of -51\/50 and b.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2504 + 2501. Which is the closest to -0.2? (a) -1 (b) 2 (c) -43 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.16 + 6. Let n = m + -0.24. Sort 2\/7, 0, n in ascending order.\nAnswer: n, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 713?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 1, p: 2, b: 3, f: 5}. What is prob of sequence fb?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/8)\/3*((-5328)\/37)\/(-36).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*d - 2*d. Suppose -3*l - w = 4*w - 56, -52 = -4*l - w. Suppose -4*n = -4*r + l, 2*n - 1 = 5*r - 7. Put 5, d, n in descending order.\nAnswer: 5, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-2)\/42*6\/4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = -2*k, 0*y - 3*k = -y + 19. Let t = 68 - 51. Suppose -y - t = -5*u - 3*m, -10 = -2*m. Solve b + u = -0*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -193*n**2 - 2*n - 86. Calculate u(0).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4296 and 4296?\nAnswer: 4296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -158835, -317661, -476487?\n\"Answer: -158826*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/69 - -21973\/690. Let p = u + 9\/5. Find the common denominator of -73\/6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**3 + 157*u**2 - 52*u - 4. What is q(52)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*j - 2*w, w = 5*j + 5*w - 10. Let i(m) = -m**2 - 17*m - 26. Let s be i(-14). Suppose s*a = 3*a. Do a and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 3264?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23529 + -9917. Suppose -5*w + f - 40365 = 0, -f = -2*w - q - 2537. Let z = -5659 - w. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -0.6, -0.7.\nAnswer: -0.7, -0.6, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2653, 5305, 7961, 10621, 13285?\nAnswer: 15953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-1 + -7 + 15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4\/91 - -5836\/273. What is the common denominator of b and 1\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + -1)*-2 - sqrt(192))*-4 + 5.\nAnswer: -3 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100102220012222 (base 3) to base 15.\nAnswer: 69185e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 261327, 261295, 261255, 261201, 261127, 261027, 260895, 260725?\n\"Answer: -d**3 + 2*d**2 - 31*d + 261357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 20*h**3 - 3. Let z(t) = 7*t**3 - 1. Let n(p) = -6*v(p) + 17*z(p). Suppose -2*b - 5 = 3*b. Let c(f) = -7*f**3 + 5. Calculate b*c(j) + 5*n(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 180 = w + 2*w, -3*w + 2*s = -180. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 3*i. Let q(v) = -4*v**2 + 22*v - 2. Let a(x) = -q(x) + 6*w(x). Calculate a(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.889 + 38.939. Let h = 38 - r. What is h rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-20) - (2 - (-176)\/(-20)). What is the hundreds digit of (177 + -2)*(11 - x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (-12 + (23 - -6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.13 and 0.02.\nAnswer: 0.0626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cnccccccccccncn.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2504?\nAnswer: 1\/1252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/17, 8.8, 0.5, -1\/9, -90 in increasing order.\nAnswer: -90, -2\/17, -1\/9, 0.5, 4, 8.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2\/11, -21, -77, 4, -2 in increasing order.\nAnswer: -77, -21, -15, -2, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-12)*9 - (-2 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -3, 61, -4 in descending order.\nAnswer: 61, -3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-16)\/v)\/v)\/(v**(-16)*v)*v**(-7\/3)*v*v**(-5\/12) assuming v is positive.\nAnswer: v**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -741 and 4.4.\nAnswer: -3260.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {s: 1, w: 1, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91375\/2 + -45686. Let s(a) be the second derivative of -p*a**3 - 9\/40*a**5 - 1\/40*a**6 - 13\/16*a**4 - 2*a + 4 - 3\/2*a**2. Let s(d) = 0. Calculate d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 8*z**2 + 12*z + 1. Let u be h(5). Is ((-2)\/6)\/(u\/13398) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35749368653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -647206*o - 1782 = -647272*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 take away -0.15595?\nAnswer: -145.84405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -509.211 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 6216\/(-918) - (572\/374)\/(-13)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3302*l**4 - 99*l + 8 wrt l.\nAnswer: 39624*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i + 3. Let o(z) = -3*z - 2. Let l(s) = -3*m(s) - 5*o(s). Suppose 2*j = 9*j - 28. Determine l(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -372 or -369?\nAnswer: -372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*3\/(-6) + -3. Suppose -o + 6 = o. Let h(c) = -1 + 1 - 2 + o. Let l(u) = -2*u**2 + 2*u - 5. Determine b*h(x) - l(x).\nAnswer: 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2. Let k(t) = 476894010*t. What is z(k(v))?\nAnswer: 227427896773880100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2900*i = 2894*i + 948846. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 16. Calculate g(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 3:29 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16228 (base 9) to base 14.\nAnswer: 40a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -102 bigger than -928\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2656 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -15299378\nAnswer: -61197512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 16) to base 7\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 1. Let z = y - 0.3. Let b = z + 0.7. What is the second biggest value in -3, 1\/6, b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.121, -5\/7, 14\/11, 2\/11 in increasing order.\nAnswer: -5\/7, 0.121, 2\/11, 14\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 18. Let j = 73 + -75. Is i at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + ((-132)\/10)\/((-4)\/10). What is the highest common divisor of 45 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*u - 4*u**4 + 3*u**2 - u**2 - 2*u**2 wrt u?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 212870366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2601, -10391, -23375, -41553, -64925, -93491?\nAnswer: -127251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 555*x - 556*x + 36, -3*t = -2*x - 32. Let q = 0 - 0. Let h be ((-4)\/12)\/((-2)\/12). Solve q = -4*d + 2*d - u - 2, 0 = -h*u + t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 21*p**5\/80 + 29*p**4\/8 - 47*p**3\/8 - 27*p**2\/4 - 2*p + 846. Factor r(l).\nAnswer: 3*(l - 1)*(l + 9)*(7*l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-9)\/((x\/((x*x**(5\/3))\/x))\/x))\/((x\/x**(5\/2)*x)\/(x*x\/(x**3*x)*x*x)))\/((x**(-4\/9)\/x*x**(-4\/11))\/(x**(-7)*x**(-1\/3)*x)) assuming x is positive.\nAnswer: x**(-2249\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t + 24. Suppose 0*d + 105 = 7*d. Let o be f(d). Let v = o + 45. List the prime factors of v.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - 5*(sqrt(500) + 1) - -2*sqrt(500)*3)**2 - ((sqrt(10) - sqrt(80)\/(sqrt(16)\/sqrt(2)))\/sqrt(2) + 5).\nAnswer: -200*sqrt(5) + 2020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpccaoau. Give prob of sequence vu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*m - 66*m - 230 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353*p + 359*p = 289194. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -14*h - 1. Let t(p) = p. Suppose 2*a = 4*g - 18 + 16, -2*g + 3 = -3*a. Determine a*r(l) + 3*t(l).\nAnswer: 17*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4 - 4. Let h = -192 - -199. Suppose -g*r + h*r = 50. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(8\/4)\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*u - 10 + 10)*(-u + 3*u - u**2 - 4*u) as b + w*u + l*u**3 + y*u**2 and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.6910046 rounded to the nearest integer?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-1)\/(1\/(-68)). Let t = -208445\/14 + 14882. Find the common denominator of (1 - -5)*q\/24 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 6*v**2 + 6*v - 1. Let o be 3\/6 - (-30)\/(-4). Let l be k(o). Let p(x) = 2 - l + 7 - x**2. Determine p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 68\/12)*(-1 + 4). Sort a, 2, -3, 4.\nAnswer: -3, a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-60))\/((-52246)\/23405 + (-2)\/(-62)).\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*n - 39*n = 28 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3405088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4590 is divided by 1529.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u - 184. Let d = 26 - u. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -16*y**5 - 4*y**4 + 80*y**3 + 20*y**2 - 64*y - 16 = 0?\nAnswer: -2, -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 38. Solve 4*r - 4 - 12 = l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 5. Suppose 8*n + 5100 = 25*n. Let k = 312 - n. Calculate the smallest common multiple of k and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 3*x - 3. Let l(t) = -t - 1. Give i(q) - 3*l(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 17*o**2 + 18*o - 26. What is y(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9592695303040.8000095 - -9592692793387. Let o = 2509653 + s. Let x = o + 0.8. Round x to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(320)*-2*6 + sqrt(320))**2 + 5.\nAnswer: 38720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q = -36 - 46 + 67 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-2)*(-14)\/16*17512\/13134?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150.53*-6.3.\nAnswer: 948.339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -10. Suppose 2*w + 2*w + 16 = 0. Calculate the least common multiple of t and (2\/w)\/(2\/(-16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*y - 503*y - 1380 = 0. Let w = -125 + 1123\/9. Which is the smallest value? (a) 0.4 (b) w (c) y (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(567) - (sqrt(567) - (sqrt(567) + sqrt(567)*4)))**2 + 2.\nAnswer: 14174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53\/(2597\/(-42)))\/(6*2\/(-392)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 37226*g**2 - 409389*g + 893160.\nAnswer: -(g - 37215)*(g - 8)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 400245402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w**2 + 272*w - 69. Does 2 divide q(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*q + 23, -4*r + 8 = 2*q - 3*r. Suppose m = -5, 0 = -q*u - u + m - 15. Let j be (-6)\/9 + (-1)\/3. Put j, -2, u in descending order.\nAnswer: j, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*h**4 + 400\/3 - 56\/3*h**3 - 560\/3*h + 92*h**2.\nAnswer: 4*(h - 5)**2*(h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -6\/13, -4?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 117216\/(-414) + (-52)\/(-13). Is -278 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, p: 5, e: 11}. What is prob of picking 1 e, 2 p, and 1 j?\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 5:45 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3848406*-1.\nAnswer: 0.3848406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {z: 2, n: 1, p: 4, r: 2, h: 3, u: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41, 50, 81, 146, 257, 426, 665?\n\"Answer: 2*d**3 - d**2 - 2*d + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 2*o - 1. Suppose -4*k = -2*n + 10, -2*n + 2 = -5*k - 10. Calculate r(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 138*a - 1002. Calculate d(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*w**2 - 2343 + 3688*w**3 + 25*w**2 - 106*w**2 + 33*w**2 with respect to w.\nAnswer: 11064*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(-4 - 5 + 52)*(2 - 2*j + 0*j - 5).\nAnswer: 258*j + 387","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55350 and 300.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 + -60. Suppose -7*v = -8*v + 5*p + 27, 0 = 5*v + 4*p - 19. What is the remainder when a is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111598 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 457 - 420.9. Let m = h - 36. Let o be 5\/(-52) - 1\/(-4). Which is the closest to m? (a) 2\/11 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 - (-40 - -39 - 17)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {v: 3, x: 6, l: 7, q: 3}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s + 7*s**2 - 1 + 1 - s**2 + (s**2 + 0 + 0)*(-2 + 1 - 1))*(-3*s**3 - s + s).\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/6 + ((-5117)\/(-42) - 0). Suppose -4*k - x = -9*k - 3*p, 2*k - 4*p - 54 = 0. Solve k = -5*h - 0*h - 3*z, 0 = 3*h - 4*z - 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.889 rounded to two decimal places?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 at least 101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 3*c**2 - 1. Let d(y) = -2*y**5 + 496*y**4 + 567*y**2 - 5*y - 1. Let r(v) = -d(v) + w(v). Find the third derivative of r(i) wrt i.\nAnswer: 120*i**2 - 11904*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -93*v**2 - 77 - 5\/4*v**4 + 0*v - 2*v**3. What is the second derivative of g(q) wrt q?\nAnswer: -30*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 - 3*t + 3. Let d(l) = -l**2 + l. Let n be (2\/(-4) - 0)\/(-17 - (-105)\/6). Give n*s(b) - 3*d(b).\nAnswer: -2*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 3:37 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1214, 2427, 3640, 4853, 6066?\nAnswer: 7279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + sqrt(304) + 0 - (-1 + sqrt(304) + -2 - sqrt(304))) - (0 + 0 + sqrt(304) - (-2 + sqrt(304) + 1))*-3)**2.\nAnswer: 16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five quarters of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 365720 = 4*f + 8*z, f = 4*z + 91451. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 9127 - 1143. Calculate the greatest common factor of j and 711.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 778095, -1, -2.\nAnswer: -2, -1, 4, 778095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) 1 (c) 5 (d) 4 (e) -182 (f) -1 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 822182, 6, 5 in descending order.\nAnswer: 822182, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -39*k. Let v(j) = -33828*j - 2. Determine u(v(o)).\nAnswer: 1319292*o + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 21*d**2 - 21*d - 18. Let j be t(22). Suppose 5*g + 29 = o, 3*o + j*g = 7*g + 63. Calculate the remainder when o is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3010 and 136?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 g, and 1 a when four letters picked without replacement from trxxrgagaxxxgrxg.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 111 = 12*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-60))\/((-2)\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.169293253 to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18649364 - -12700364. Round i to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*b - 17 = 0, -23*s = -26*s - b - 27. Let a(u) = 18*u + 21. Let g(x) = -17*x - 22. Let d(f) = 2*a(f) + 3*g(f). Is d(s) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28603673 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 1. Let n be (0 - 0)\/(-7 - i). Find the common denominator of 45\/14 and -1*(n - 61\/(-8)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -436 - -435. Which is the smallest value? (a) x (b) -0.6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5759, -5764, -5767, -5768, -5767, -5764?\n\"Answer: q**2 - 8*q - 5752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 127.\nAnswer: 4445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3)*(-9)\/(-30)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 5*v**2 - 7*v - 2. Let f be 1\/(-2*3\/30). Is 16 a factor of b(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 1. Let b(i) = -6*i**2 - 58*i - 1. What is b(y) + 2*k(y)?\nAnswer: -6*y**2 - 56*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -71*l**8\/112 + l**5\/60 - 33*l**3\/2 - 24*l**2 - 3. What is the third derivative of k(d) wrt d?\nAnswer: -12780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 229069*w - 229291*w - 3 to the form v*w + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10775198 and 301?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxzk when four letters picked without replacement from kzrxxkzkxz.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(19))**2*-6 + 0 - (sqrt(684)*1 + 0).\nAnswer: -120 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 197 + 217 = 0. Let v = -463 + 329. Let c = -14 - v. Calculate the highest common factor of j and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -193, -1, 3 in ascending order.\nAnswer: -193, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/((-9)\/12*-2). Suppose -2*l = -4*m + m - c, -5*m - 18 = -2*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3677.96ml in litres?\nAnswer: 3.67796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(528) + -1*sqrt(528))\/sqrt(12) + sqrt(1100)*-2*4)*-2)**2.\nAnswer: 1280*sqrt(11) + 281616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1528 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2582949.\nAnswer: 3, 349, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*a + 57 = 0, -3*a - 42 = -q - 0*q. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 + 52*j**3 + 9*j**2 + 15*j**3.\nAnswer: 67*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 3, -2, -5, 1118, 5 in ascending order.\nAnswer: -56, -5, -2, 3, 5, 1118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 - 5*f - 1. Let r(q) = -10*q**2 + 14*q + 3. What is -17*a(z) - 6*r(z)?\nAnswer: 9*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, -51, -127, -261, -471, -775, -1191, -1737?\n\"Answer: -3*b**3 - 2*b**2 - 9*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*d - 7, 7 = 4*d + 5*v + 18. Let p be d\/((-8)\/6) + 1. Does 10 divide (4\/(-3))\/(p\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 5. Let z be ((-1)\/(-20))\/(1\/14). Let w = z - 8\/15. Sort -2\/23, w, q.\nAnswer: q, -2\/23, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 524 - 45*g**2 - 2*g - 1089 + 565.\nAnswer: -45*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 128.45 and 0.09.\nAnswer: 11.5605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y**3 - y**2 - 6*y - 17. What is l(-2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + 0)\/3 + -2. Let m be (23\/5 - -1)*25\/(-10). Let t be -49*(u - (-12)\/m). Calculate the greatest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -60*g + 9*g + 8 + g**2 + 11 + 34*g - 5. Determine s(9).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76965 by 1490.\nAnswer: 15393\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116196\/1263*(-27)\/36?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 3*f + 3*y, -2*f = -2*y + 15 + 17. Let c be (17 + 1\/(-1))\/(2\/4). Suppose j + c = 15. Is f at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 10:56 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 + 32*a - 36 + 23 + (10*a + 2*a - 3*a)*(3 - 7 + 3).\nAnswer: 23*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47382122.\nAnswer: 2, 787, 30103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + -0.2. Suppose 42 = -3*t + 17*t. What is the third smallest value in 6\/7, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 2*l + 0*l + 9*l**2 - 1 + 5*l. Let x be u(-7). Let f be (-110)\/(-5) + -2 + -1. What is the greatest common divisor of f and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11079744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 33. Suppose 0*g + 4*q = -5*g + 28, j = 5*q. Suppose 24 = t - 5*b, 5*t + 4*b = -0*t + g. Solve c = -t*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 times 705731\nAnswer: 15526082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 - 54 + 2*z**3 + 6 + 21 - 21 + 48.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/4*(-54)\/45. Let z(a) = -a + 13. Suppose 4*k - k = 0. Let f be z(k). Solve l*s + 11 = -0*j - j, -3*j - f = 5*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.893 + 0.107. Let f be 4*(-2 + 13\/6). Put -4\/7, y, f, 1\/2 in decreasing order.\nAnswer: y, f, 1\/2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 148999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2643472 and 364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -1, 0.4, 0.1, 68.9, 0.21.\nAnswer: -1, -1\/8, 0.1, 0.21, 0.4, 68.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -105*l**2*q + l**2 + 3*l*q + 3885*q wrt l.\nAnswer: -210*l*q + 2*l + 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 1 + 6 + -9 + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 14 = -2*f - 2*v, -1 = f - v. Factor 7*l - 13*l + f*l**2 + 0*l - 2*l.\nAnswer: 4*l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*k**3*z + 358*c**3*k**3 - 6*c**3*z + 5*c**2*k**2 + 15*z wrt k?\nAnswer: 12*c**3*z + 2148*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31812923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y. Let s(n) = -8*n**2 + 5*n + 14. Give s(r(u)).\nAnswer: -200*u**2 + 25*u + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6389 divided by 5.\nAnswer: 6389\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 25209060310?\nAnswer: 25209060310.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a - 14. Let n be v(6). Suppose -26*s = -24*s + n. Put 3, -1, s in descending order.\nAnswer: 3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 436258?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o + 17*p - 21*p + 90 = 8*o, -p - 1 = -o + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 10:51 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8350 is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 202 + -198. Let m(a) = 3*a**3 + 12*a**2 - 23*a + 10. Let y(f) = 2*f**3 + 12*f**2 - 22*f + 8. Let x(i) = t*m(i) - 5*y(i). Suppose x(u) = 0. Calculate u.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 55620?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59628454 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 18 - (-16 + (10 - 5)) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y. Let h(q) = -6*q**2 + 3*q**2 + 5 - 5. Give o(h(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 549 = -1. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000022317 to 6 decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((1 + sqrt(176) + sqrt(176))*1 + (sqrt(231)\/sqrt(63))\/sqrt(3))*-1 + 1)**2*-1.\nAnswer: -6891 - 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224 divided by -59419.\nAnswer: -224\/59419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 496880990 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 3. Let o be 1\/((-3)\/(-21)) + r. Suppose -4*l = 2*g - 34, -l + o*g + 9 = -27. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1021 (base 3) to base 11\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/4)\/(2\/(-12)). Let z = o + -9. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -411*n**2 + 6683 + n - 3342 - 3343 + 3*n**3 + 0*n - 2*n**3 as d*n**2 + z*n + b*n**3 + p and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/536 and -53\/8442?\nAnswer: 33768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 301 and 8241.\nAnswer: 2480541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28 (b) -1\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 14. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 5*z + 14 + 89, -3*m = 4*z + 85. Is ((-6)\/m*-717)\/(6\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k*x**3 + 343*k*x + 311*x**3 + 1 wrt x?\nAnswer: -6*k*x + 1866*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5951675476 to the power of 1\/3, to the nearest integer?\nAnswer: 1812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 951 (base 11) in base 12?\nAnswer: 7b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1\/2*(-108)\/(-90)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 115*x - 101. Let l be k(1). Solve 2*g + d = 8, -g - d + l = 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r + 49 = -391 + 44 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 - 7*d**2 - 6*d. Let r be c(-1). Let f(l) = 6*l**3 - 4*l**2 + 3*l. Let w be f(r). Solve -w*g + 5 = 5*i, g = 4*i + 7 - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13449850.\nAnswer: 2, 5, 268997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 0 - 1\/6*q**3 + q**2 + 0*q - 1\/120*q**6 + 0*q**5 - 1\/24*q**4. Let k be o(-1). Solve -4*p - 4 = -4*j, 0 - k = -j + 4*p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1941340, 1941342, 1941344, 1941346, 1941348, 1941350?\nAnswer: 1941352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3672539 and 5239.\nAnswer: 3672539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(25*a**2 + 20*a**2 - 55*a**2) + 5*a**2 - 5*a**2 + 2*a**2.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.08 + 0.22. Which is the third biggest value? (a) f (b) -2\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/8 and -61\/580.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53.7706mm?\nAnswer: 53770.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 337 or 339?\nAnswer: 337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -39, -7, 0, 24 in descending order.\nAnswer: 24, 0, -2, -7, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 60*y - 456. Calculate the smallest common multiple of j(9) and 81.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -24, -13705, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**3 - 3*q**2 + 4*q - 2. Let b be y(1). Let m(h) = 65*h**2 + 2. Is m(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 2)*(-2 - 1 + 1)*(-2*m + 0*m + 4*m).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:22 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22732 is divided by 22720.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -1. Suppose -o*d + 8*d = f - 30, 5*f = 3*d + 84. Solve -3*v + f = 0, -v = 5*m + 13 + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440)\/sqrt(40))\/(sqrt(4)*-1*-6))**2*-1.\nAnswer: -11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 10, -13, -7, 4, 3 in increasing order.\nAnswer: -13, -7, -6, 1, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1592 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q - 4*j - 13, q + 4*j - 17 = 0. Suppose -t = -q*t. Suppose t = 2*f + f - 9. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 241410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 7:53 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1067? (a) 2.86 (b) -0.2 (c) -1\/46 (d) -2\/7 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -12\/13 (b) -701 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12790 divided by 2558\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(5)*-1)\/(sqrt(6)*-3*5).\nAnswer: sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*s + 15*s - 11*s**2 + (1 - 1 - 2*s)*(-3*s - 2*s + 7*s).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000214978 to 7 decimal places.\nAnswer: -0.0000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36848 - 30671.6. Round f to the nearest 10.\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22475 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 87 = -4*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.702898 tonnes to kilograms.\nAnswer: 4702.898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1259 divided by -66?\nAnswer: 1259\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/3 + 18*k + 248\/3 = 0. What is k?\nAnswer: -4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + (-5 - (-24 + 25)) + 4.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -3660 (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48\/22 + (2 - 4). What is the third biggest value in b, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21059 - 59?\nAnswer: -21107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2555 (base 6) to base 11\nAnswer: -539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2 + -4 - 0 - -11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.7 - 0.7. Let h = b - 3.99. Let q = -0.0100005 + h. Round q to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 82.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44*(-2)\/(-14))\/((-63)\/(-196)*(-300)\/675).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.93 rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -3.8 (c) 5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-3)\/(((-15)\/2)\/5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3620 is divided by 98.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315 = -13*s + 250 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 5*g + 3*g + 5*g - g + 64.\nAnswer: 2*g + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 25*o. Let f(t) = t. Let z(v) = -v**2 + 4*v. Let d(p) = -4*f(p) + z(p). Give y(d(a)).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6630.66771 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.72 + -8.6679. What is z rounded to 3 dps?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6335, -6256, -6071, -5726, -5167?\n\"Answer: 9*r**3 - r**2 + 19*r - 6362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 17*u**4\/12 - u**3\/6 - 5*u**2. What is the tens digit of h(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.637 + 0.7. What is o rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86875?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*y - 9320, -4*m - 5*y + 4*y + 9328 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 406368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 872987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4917166742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -290 - 271 + 67 + 14*n - 75 - 6*n**4 wrt n?\nAnswer: -24*n**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 126999 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 140 = -0*t. What is the remainder when 67 is divided by t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w + 25 = -35*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 338*y**2 - 198*y + 246*y + 1190*y + 333*y**2 + 839*y**2 wrt y?\nAnswer: 3020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1496541 is divided by 1079?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125 or -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31616, -31661, -31706, -31751, -31796, -31841?\n\"Answer: -45*z - 31571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -13.1. Let v = -4.7 + y. Let i = v + 4.716. Round i to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -14*u**2 - 126*u - 63. Let g(c) = -c**2 - 8*c - 4. Let d(p) = 63*g(p) - 4*s(p). Let b(q) = -50*q. Calculate b(d(k)).\nAnswer: 350*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -577*z**2 + 67609 - 67609 as q*z**2 + t*z + a and give q.\nAnswer: -577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1645 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 0\/(2 + -3). Let r(o) = o**2 - o - 13. Let q be r(v). Let i = -0.02 + -0.18. Which is the closest to i? (a) q (b) 0.04 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3875 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28613124 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 16*w**2 + 53*w - 12. Calculate b(6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and (2 - 1)*-2 - (-19 + 1).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*l + 95*l - 46*l + 1556.\nAnswer: -3*l + 1556","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -320 + 322. Suppose 0 = -2*l - 2, 0*u = -u + i*l + 7. Solve 3*m = -u - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*t - 4*p = 276*t - 550*t - 64, 26*t = -5*p + 353 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 130, 316, 576, 910?\nAnswer: 1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13*m**2. Let g(n) = -196*n**2. Give a(g(c)).\nAnswer: 499408*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.378426 nanometers to millimeters.\nAnswer: 0.000004378426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s + 0 - 5*s**2 - s - 1 + 6*s**2 to u + c*s**2 + p*s and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -252, -674, -1446, -2682, -4496, -7002?\nAnswer: -10314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 10*c + 339*c**4 + 2*c**3 - 341*c**4 - 3 + 0*c**3 - 4 - 11*c to k*c**2 + t*c + q*c**3 + a + b*c**4 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -12670 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.06, -16992, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuutkuuuyitukij. Give prob of picking 1 i and 1 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -11*w**4\/24 + w**3\/6 - 16*w**2. Let c be u(9). Let t = c - -102. Solve 3*p = 3*s + 3 + 3, t*p = 3*s + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6051 divided by 3.\nAnswer: 2017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 278216 and 278221 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55561?\nAnswer: 11, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) - (1*sqrt(91) - sqrt(91))*2))*-2)\/(sqrt(1008) - -5*(sqrt(1008) + sqrt(1008) + (sqrt(1008) - (sqrt(1008) - 2*sqrt(1008))))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5519796um to kilometers.\nAnswer: 0.0000000005519796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3044*w**3 + 25254*w**2 - 99*w**3 - 25254*w**2.\nAnswer: -3143*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 6 + 6)*(m - 4*m + 2*m)*(-m + 3*m + 0*m) + 2*m**3 - 3*m**3 + 0*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a + 47. Let g be z(5). Let q(o) = 170*o - 19. What are the prime factors of q(g)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8158*m**6 - 18103*m**2 wrt m.\nAnswer: 978960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkxe when four letters picked without replacement from {x: 2, e: 2, k: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 - 133. Suppose 0 = -3*w + o + 648. Is w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/5 - 0)*(-15 + (-8470)\/(-572))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/12 and 56\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*m + 84*m = 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1125 - 44*m + 28*m + 2259 - 1134.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d. Let o(r) = 4*r + 1. Let y(t) = -4*o(t) - 5*p(t). Determine y(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 64434*r - 64428. Determine x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-41 - -1)*6\/45*3. Let j be (0 + -3 + -3)*t. Calculate the greatest common factor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-5 + 7 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 0. Let a = 7\/17 - 99\/323. Sort v, -3, a.\nAnswer: -3, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f + 8. Let m be ((-96)\/9)\/(5*8\/300). Let i be f*(-15)\/m*(-4)\/6. What is the closest to i in -4, -2\/29, -2\/13?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (7\/(-2) - 2)\/((-29)\/1392) and 132?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18577429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 2\/(-2) + 0. Suppose n = 4*f + f. Suppose 0 = -3*y - f*y + 36. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-1)*2\/4. Let x = 16 + w. Suppose -x = -3*v + 36. What is the highest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 6:27 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 10:59 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r**5 + 5*r**4 - 2*r**3 + 3*r**2 + 6. Let q(m) = -7*m**5 + 6*m**4 - 3*m**3 + 4*m**2 + 8. Let h(j) = 4*f(j) - 3*q(j). Factor h(v).\nAnswer: -v**3*(v - 1)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjyyddssysyssjss. What is prob of picking 1 y and 1 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-82)\/(-468) + 9\/(-39). Let n be (-4 + 5)*(-2)\/10. Suppose -97 = -z - 97. What is the biggest value in z, x, n, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 6:58 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 1134?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220222211 + 122210022?\nAnswer: 2120210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.89 - -0.39. Let t = -1615 - -19379\/12. Which is greater: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = -k + 12*v + 156, -4*k = -5*v - 627. Does 156 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-110)\/(-11)*1\/2. Suppose -2*q - 12 = 4*w, 17 = -r*q - 4*w - 1. Let b(g) = -2 + 2 - 4 + 2*g. Let o(c) = 6*c - 13. What is q*o(s) + 7*b(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:44 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 12*o = 0. Let y(i) = -3 - 1 + 11*i**2 + 5 + o - 2*i. What is the remainder when y(2) is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6096 + 6098. Let q = -0.7 + 0.6. What is the fourth biggest value in -0.5, q, v, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*r + 6. Let k = -45 + 77. Calculate the remainder when k is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuu. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1220 - 1204) + 265\/(-10).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000100110011101 + -111?\nAnswer: -1100000100110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**3 - 4*b**3 + 5*b**3 + 3*b**3 - 5*b**3 + 4*b**3 + (-b**3 - 2 + 2)*(-553 + 1612 + 238) to w*b + n*b**2 + z + a*b**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*a - 2257 = -2505 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 405*u**2 + 4530*u + 8. What is n(-11)?\nAnswer: -817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-37)\/13 - -1)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 4. Let w be g(3). Suppose -2*c - 2*n + 4*n = -64, c - w*n - 35 = 0. Suppose 5*t = 6 + c. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 83148\/66 - (-2)\/11. Suppose -o = v - 10*v. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + (-1 - -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 21, 49, 75, 99?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1098 + -1099. What is the smallest value in 0, l, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31.7 + 0.3. Let j = y - 42. Is j greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuguguggguuuuggu. What is prob of picking 4 u?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 71\/5 of a meter?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01953077 rounded to 4 dps?\nAnswer: -0.0195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 8*z**2 + z. Let v be m(8). Suppose -2*x + 12 = -v. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(38) + sqrt(2432)*1)\/(sqrt(36)\/sqrt(2) + 3*sqrt(2)*-2).\nAnswer: -14*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*y - 5*y - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -50929*q**2 + 2. Let d(b) = -22*b. Determine a(d(w)).\nAnswer: -24649636*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011444 rounded to 6 decimal places?\nAnswer: 0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 733.9388t?\nAnswer: 733938800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.34? (a) 0 (b) 2 (c) 3\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/18011 and -51\/599509.\nAnswer: 4196563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*3\/4*6. Let h be 3\/(2\/(12\/w)). Suppose z + 11 = h*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2108\/187)\/62)\/((1\/(-11))\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 247350 and 16250895?\nAnswer: 162508950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6023 + -6035. Sort 0, 5, 7, h.\nAnswer: h, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -3.4. What is the third biggest value in y, -2\/5, 1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*g = 326, 5*f + 5*g = 194 + 191. Let r = 81 - f. Solve -r = -y - y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 96404 = 2*j + 15*n, n + 96424 = 2*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 27397 and 27397 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e + -d39?\nAnswer: -d58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 - 0.01. Let o = 64 - 194\/3. What is the nearest to o in 0.4, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and ((-2904)\/(-770) - (-9)\/21)*70?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 37*z**2. Let o(u) be the first derivative of u**4\/6 + 21*u + 32. Let a(g) be the first derivative of o(g). Determine a(h(t)).\nAnswer: 2738*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - f - 21. Let m = 242 - 242. What is s(m)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5081807 from -8011.\nAnswer: 5073796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*n**2*q**2 + 158*n**2*q + 2*n**2 + 951601*n*q**2 + 2*q**2 wrt n.\nAnswer: 26*q**2 + 316*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - q = 5*k - 11, 19 = 2*k + 3*q. Let o be (-97)\/((0 - -1)\/k). Let h = o - -913. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - x = -1803, 0 = -9*h + 8*h - 4*x + 353. Does 154 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/13)\/(o**1*o*o)*(o*o**2*o)**(-49))**(1\/60))**(3\/16) assuming o is positive.\nAnswer: o**(-1293\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5371143 or 5371142?\nAnswer: 5371143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12946*f = 15893*f + 244601 for f.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 163052.\nAnswer: 1304416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (59020\/3315 - 18)*(-243)\/(-45)\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -5*b + 294. Calculate the greatest common divisor of 45 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 238, 366, 512, 682, 882, 1118, 1396?\nAnswer: 1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-38955)\/(-98))\/53)\/((-15)\/18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12\/421 - -15817\/8420. Calculate the common denominator of -57\/22 and q.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*d**3 + 8*d**3 + 10*d**3 + 6*d + 7*d wrt d.\nAnswer: 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 7. What is the closest to 0 in -0.2, -1\/9, a?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5426 minus 0.3?\nAnswer: -5426.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + 6*sqrt(91)*-1 + sqrt(91) + sqrt(91))\/(sqrt(7) + 2*sqrt(7)*6) + (sqrt(143) + -3*sqrt(143)*-2)\/((sqrt(121)*1)\/sqrt(11)))**2*1.\nAnswer: 7744\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1166 and 1523962?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 8*f + 415 = -11*f, 2*l - 4*f - 180 = 0. Suppose 5*o + 35 = l. Let a = -8 + 16. Solve -o = a*n - 11*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/2 - -1)*0. Let d(h) = -2*h + b*h**2 + 1 - 39*h**3 + 38*h**3 - 5*h**2 + 1. Determine d(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -137*a + 29. Suppose -29*z + 14*z = 240. Let g be s(z). What is g rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-36)\/54*(-39)\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150*w**4 - 16*w**2 + 2396*w - 6.\nAnswer: -1800*w**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 938*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1451375?\nAnswer: 5, 17, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 3 = 71*k - 70*k, -2*x - 6*k - 26 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -14*k. Let z(y) be the first derivative of -2*y**2 + 354. What is z(d(h))?\nAnswer: 56*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + p. Let j be s(-3). Suppose j*z - 815 = z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 612 - 352. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(432) + -2)**2 + 2.\nAnswer: -96*sqrt(3) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 50 = -2*t. Suppose 0*r = 5*r - t. Suppose -2 = -h - 6. Put r, -5, h in descending order.\nAnswer: r, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/47? (a) 370 (b) 3\/2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a factor of 123980024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*n = 57*n - 124*n + 6580596. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 6 = -10*g + 2*u, -4*u - 1 = 5*g. Let x = -519 - -588. Which is the second smallest value? (a) g (b) -5 (c) -0.3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*r**2 - 35*r**2 + 13*r**3 + 5*r**3 - r**3 - 2*r**3 + (-1 - 1 - 2)*(0*r**3 - 4*r**3 + 6*r**3).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z = -7216 + 7352 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8381.519 to the nearest ten.\nAnswer: 8380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiri when four letters picked without replacement from yiyyiyvyrgyyir?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114 - -119. Suppose 0 = -2*f + 6, -3*o - 27 = -2*o - d*f. List the prime factors of (o\/8)\/((-1)\/16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1127*c**3 + 3323*c**3 + 4 - 7773*c**3 - 4 + 3340*c**3.\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 + 1 + -9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5760)\/2592)\/((-2)\/(-9))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r**(-22))*r**(-1\/32)*r)\/((r*r*r\/(r*r*r**(-24))*r)\/(r\/(r**(18\/11)\/r)*r)) assuming r is positive.\nAnswer: r**(-235\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3588, -7022, -10322, -13494, -16544, -19478, -22302, -25022?\nAnswer: -27644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 1 = 3*q, 41*q - 5*y - 31 = 39*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151 (base 8) to base 11.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000190181 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/69 and -65\/138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 2*r - 5*r = 27, 4*l + 37 = -5*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-201 + 192 - (-3 - (25 + 1))) + 13\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3728709 grams to nanograms.\nAnswer: 372870900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7816 is divided by 1927.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.059?\nAnswer: 0.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11582 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -132721 (base 13) to base 6\nAnswer: -13525324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 522 = -580 + 1232 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 10*c + 20. Let b be a(6). Let p be -46*(b + -3 + 5). Find the first derivative of 39 - p*q + 92*q - 9*q**4 wrt q.\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*f - 0*f - 5*c, -16 = -5*f - 2*c. Suppose 6 - 10 = -f*a. Suppose a*g = -2*t, -t + 10 = -0*t - g. Solve -t*s + 15 = 4*o, 3 = -s + 4*o + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -1\/6*y**4 + 0 - y**3 + 2*y**2 + 3\/10*y**5 - 1\/15*y**6 + y. Factor l(z).\nAnswer: -2*(z - 2)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.94545919 rounded to 4 decimal places?\nAnswer: -0.9455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*n + 4 = 0, -5*t + 275*n + 47 = 276*n. Solve 5 = 4*m + k, -t*m + 5*k = -11*m + 25 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 less than 11.3?\nAnswer: -23.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77237000?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 2*c**2 - c - 2. Let d(r) = r + 1. Calculate 2*d(b) + j(b).\nAnswer: b**3 + 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -v - 9*h, -4*v + 425 = -13*h + 18*h. Solve v*q + 6 = 98*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106 - -23. Suppose 0 = -3*a + 729 - x. Suppose -200 - a = -5*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - (-43 + 20)) + 21\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - -5644a?\nAnswer: 56466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 + -24 + (-177 - -110)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.26, -9, 0.3?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4) - -2 - 44\/(-8). Differentiate -38*s**2 + 19*s**2 - 56 + s**3 - b*s**2 wrt s.\nAnswer: 3*s**2 - 50*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*k - k + 125, 4*y - 114 = -2*k. Calculate the greatest common factor of 65 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5044*g - 913. Is r(-48) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 1. Determine l(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 - 66. What is the remainder when r is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -659 + 1978\/3. Is c equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -14, -3, 4, 3\/2, 0.3 in ascending order.\nAnswer: -14, -3, -1, 0.3, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c + 1. Let x(n) = -n**2 - 8*n - 2. Let s be x(-7). Let o be (s - 1)\/(2 - 0). Calculate k(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 1:48 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1 + 2*u**2 + 0*u**2 - 3*u**2 - 7*u. Let q be w(-6). Suppose 5*b - 5*s + 15 = 0, 4*b + 8 = -4*s + 36. Put 4, b, q in descending order.\nAnswer: q, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2520773199 to the power of 1\/2, to the nearest integer?\nAnswer: 50207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3*a - 4, 5*g - 8 - 2 = 5*a. Suppose -4*l - 102720 = -7*l + 4*x, g*x - 171200 = -5*l. Round l to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 30854513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(209) + sqrt(209) + sqrt(209) + -1*sqrt(209) + sqrt(209)))\/(2*sqrt(176)).\nAnswer: -9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -61*r + 41*r**2 - 141*r**2 + 106*r**2 + 4. Determine o(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -5 (c) -2 (d) 38\/7 (e) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-1\/6)*w)\/w*w)\/w**(-3\/8))**(-2\/69))**(-1) assuming w is positive.\nAnswer: w**(29\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 281\/5. Let o = -29 - -38.8. Let v = -10 + o. Sort -3\/4, v, m.\nAnswer: -3\/4, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 3*x. Let s(g) = -3*g**2 + 6*g + 1. Let f(l) = -5*m(l) - 3*s(l). Calculate f(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23 + -0.63. Put p, 4, -6 in descending order.\nAnswer: 4, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:42 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -168, -768, -1840, -3444, -5640?\n\"Answer: -10*q**3 - 176*q**2 - 2*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 65\/8, -1\/4, -3, -5, -0.1, -896?\nAnswer: 65\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddt. What is prob of picking 2 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 435759061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41154 - 5?\nAnswer: -41162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-4)*1 + 3. Let v be 4 + (-1 - p) + -7 + 8. Suppose 0*z = 3*h + z - 5042, 6716 = 4*h - v*z. Round h to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1 + sqrt(243))*-2 - ((sqrt(60)\/(-2*sqrt(10)))\/(sqrt(8)*-1 + sqrt(2)))**2).\nAnswer: -18*sqrt(3) + 25\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 3*s**4 - s**4)*(-s + 0*s + 2*s) - 2*s**5 + s**5 - s**5 - s**5 + 0*s**2 + 0*s**2 + 4*s**5 - 3*s + 3*s + 3*s**5 - 5*s**5 - 12*s**5.\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 - 10*i\/3 - 8.\nAnswer: (i - 12)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26c7 - -1a?\nAnswer: -26ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, v: 3, n: 1, m: 1, g: 2, d: 2}. What is prob of picking 1 n and 1 d?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8578394 and -365.\nAnswer: -8578759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*w - 54. Let r = -21 + w. What is the hundreds digit of (-10)\/r*6 - -109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 22 = -26. Let g = -18 + u. List the prime factors of (-2)\/4 - 99\/g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 16*z + 59. Let n be s(-10). Let o be (n + 0)\/5 + 1. Find x such that -6\/5*x**5 + o*x**4 + 0 + 0*x + 4\/5*x**2 + 14\/5*x**3 = 0.\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171599.9 centuries in millennia?\nAnswer: 17159.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2731.98896 + -2732. What is t rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10*280\/(-42))\/(36\/(-63))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-38))\/3*1\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxbbbxb. Give prob of picking 2 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1187*d = -361*d + 888*d + 112016 - 16032 for d.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 12 = 3*u. Let q be u\/(-1) + (-36)\/6 + 7. Suppose -2 = 2*h - q*r, -2*r + 13 = h + 2*h. Let f(x) = -2*x - 2. Calculate f(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 48.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*171.\nAnswer: 10.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**4\/25 + 1052*i**3\/25 - 9366*i**2\/5 - 766684*i\/25 - 53504 = 0.\nAnswer: -11, -2, 64, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(1\/18*-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) 44954 (c) 5\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*y - 149 = 544 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 0*l**2 + 2*l - 2*l + 5*l + l**2. Calculate the remainder when t(-9) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-20) - 42\/8. Let v be 2\/4*(-3 - b). Let j(y) = -y**2 + 6*y - 3. Let d be j(5). Is v equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**4\/6 + z**3\/6 - 2*z**2 + 2. Let x(d) be the second derivative of l(d). Differentiate x(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 261733549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 1.3.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 452584553 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -4060.\nAnswer: 1\/4060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*p = -3*n - 3, 5*n - 3*p = 24. Suppose -n*s - 37*s = 40. Which is the nearest to -0.3? (a) -0.1 (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 102 = -3*i - 119, 5*i = 3*t - 19 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 102587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1202 - 2?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/12*4 - 1. Sort -0.5, 2\/5, k in ascending order.\nAnswer: -0.5, 2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**4\/24 - g**3\/6 + g**2. Suppose 0*m + 4*m = -128. Let n = m + 31. Let i(s) = 5*s + 4. What is n*i(o) - 6*t(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -8, -2, 41 in decreasing order.\nAnswer: 41, -2, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/36 and -38\/221.\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 41.\nAnswer: -4, -1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -278\/31, -18, -20.\nAnswer: -20, -18, -278\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -23*k**3 - 3*k**2 + 41*k - 3. Let a(b) = -68*b**3 - 8*b**2 + 122*b - 8. Let u(i) = 3*a(i) - 8*h(i). What is the second derivative of u(z) wrt z?\nAnswer: -120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 184\/7, 5, 2, -3\/5, 1\/174?\nAnswer: 1\/174","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 10*v + 3*v. Let z be v\/(-4 + (-1475)\/(-370)). Suppose -4*c = -o + 25, 3*o - 2*c + c - 108 = 0. What is the greatest common factor of o and z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 417, -6, 79, -1 in increasing order.\nAnswer: -6, -3, -1, 79, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*x**2 - 370*x + 0.\nAnswer: x*(x - 1110)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from gwwg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 336 - 331. Let p(f) be the third derivative of 0*f + 0*f**4 + 1\/20*f**6 + 0 + 7\/6*f**3 - n*f**2 + 0*f**5. What is the derivative of p(d) wrt d?\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x. Let n(l) be the third derivative of l**5\/60 + 5*l**3\/6 - 2*l**2 - 1. What is t(n(d))?\nAnswer: -4*d**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 966\/223 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2. Let m(v) = -3506*v. Give q(m(b)).\nAnswer: 12292036*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14469 + -14463. Calculate the greatest common divisor of y and 759.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 20 = 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 24*i + 18 + 6*i - 17*i**2 - 4*i**2 + i**2 - 3. Let d(x) = x**2 - 2*x - 1. Let o(j) = 15*d(j) + u(j). Let w(m) = -m**2. Give o(w(q)).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**5\/20 - s**4\/4 + 2*s**3\/3 - s**2 + s. Suppose c - 10 = -c, 5*c - 16 = 3*r. What is m(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -24671*t - 324. Is h(-7) 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 9:49 AM and 7:25 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -62 - 1 + 2*y**2 - 95 - 34 - 8*y + 4*y. Let o(q) = -q**2 - 3*q + 7. Let l be o(-5). Give p(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21040*-0.2\nAnswer: -4208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 + 0.48. Which is the closest to -0.1? (a) -4 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.2 - -21. Let h = 2.2 + d. What is the nearest to 1\/3 in -0.08, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 247*b - 27. Let j be y(-19). Let c = j + 6771. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 + -2206?\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5757, 5617, 5493, 5385?\n\"Answer: 8*l**2 - 164*l + 5913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123782346 to the power of 1\/3, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**3\/6 + 21*b**2\/2 + 3*b. Is o(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/(1\/2). Suppose -2*n - j = -3. Sort 3, n, -5 in ascending order.\nAnswer: -5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19190184?\nAnswer: 2, 3, 13, 61507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.4, -47.425846 in decreasing order.\nAnswer: 5, 0.4, -47.425846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w**4 - 17*w**3 + 47*w**2 - 40*w + 23. Let k(j) = -j**4 - 5*j**3 + 2 - 11 + 10 + 2*j**2 + 4*j**3. Let u(y) = 14*k(y) - 2*v(y). Factor u(h).\nAnswer: -2*(h - 4)**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 7. Let d be ((-4)\/b)\/((-5)\/(-30)). Is d - 794*(-2)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 10 = 2*s, -19*s = 5*d - 20*s - 21 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 12 - 7, -2*q = 3*y - 19463. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(88)*-1 + (-4*sqrt(88)*-2 - sqrt(88)) + sqrt(88))\/(3*sqrt(32)\/((4*sqrt(256) + sqrt(256) + sqrt(256) - sqrt(256)) + sqrt(4))).\nAnswer: 451*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25418 is divided by 1507.\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8625*o**2 + 224262*o + 312.\nAnswer: 3*(o + 26)*(2875*o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35616 and 15264.\nAnswer: 106848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4045.43 decades?\nAnswer: 40454.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (sqrt(363) - (-1 + sqrt(363)))) + 2 - -5*(sqrt(363) + (sqrt(363) - (1*sqrt(363) + sqrt(363)))) - (-5*1*sqrt(363) + 1))**2 + 1.\nAnswer: 13069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 not equal to -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2627248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000085493144 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*w**6 + 19*w**2 + 1?\nAnswer: 8160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + u = -4*u + 23, 0 = -3*y - 4*u - u + 16 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 210099 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, u: 5, p: 5}. What is prob of picking 2 u?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -12*o**2 + 5115*o + 644. Let w(r) = -115*r**2 + 46035*r + 5795. Let h(f) = 35*s(f) - 4*w(f). Suppose h(v) = 0. Calculate v.\nAnswer: -1\/8, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.259702 rounded to 2 decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 941*l - 476144. Determine c(506).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/((-3)\/24). Suppose -4 = -b*c + 5*c. Calculate the remainder when 56 is divided by (-2)\/(-4) - 74\/c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1183432 and 5162.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2515)\/503)\/(5*1*-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 2, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 56134 from 0.0036.\nAnswer: -56133.9964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -7, -1, 32\/5, 0.11, -1.9 in descending order.\nAnswer: 32\/5, 0.11, -3\/4, -1, -1.9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(35)\/sqrt(28).\nAnswer: 1 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 6*a - 4*a. Suppose -4*t = -87 - 57. Let f(y) = -t + 36 + 5*y**2. Determine w(f(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 2*g + 6. Let c be (-1 + 22\/33)*-15. Suppose -m + 25 = -6*m, 3*n - c*m = 187. What is the remainder when n is divided by z(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -160055 + -2616?\nAnswer: -163004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.062 * -1.256424.\nAnswer: -0.077898288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/4*4302\/45. Suppose z = -j + 79, -j - z + r = 2*j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7175309071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -5, 3, 8.\nAnswer: -5, 2\/19, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3617 + -2228. What is the least common multiple of 12 and t?\nAnswer: 5556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 take away -87?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 43. Calculate the highest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/4655 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + m - 3*m)*(-1 + 5*m + 1) + (-4*m - 3*m + 6*m)*(-2*m - 3*m + 4*m).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from csccsrsokskckvsrcrc.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25502, 14, 2, -6 in decreasing order.\nAnswer: 25502, 14, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806135030 rounded to the nearest one million?\nAnswer: 1806000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39.90503 + 0.09497. What is the second biggest value in 9, -0.2, d, -0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12017 or -72101\/6?\nAnswer: -12017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 506 = -5*i. Suppose -i = -3*n - 61. Suppose -20*w + 21 = -18*w + p, 25 = 5*w - 3*p. What is the greatest common divisor of n and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -14*r. Suppose 0*o = 4*o - 44. Let v = -7 + o. Let t(n) = -13*n. Let j(s) = v*g(s) - 5*t(s). Let l(d) = d. Calculate j(l(h)).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3 - 1659*n**2 + 37578*n + 81800 = 0. What is n?\nAnswer: -2, 25, 1636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - -9)*(0 + -83). Let v = b - -86. Solve 6 = -5*x + r, 0 = -3*x + v*r + 2*r + 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 33*w**2 + 86*w + 1781. Let p be l(-34). Solve -p*f + 11*f = -3*r - 8, r + 8 = 2*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/12*(-20)\/60.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*q - l = 198*q - 88, 0 = 2*q - 0*l - 2*l + 44 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**5\/20 - c**4\/2 + 7*c**3\/6 - c**2 - 2*c. Let l be b(-7). Sort -1, l, 4.\nAnswer: l, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9566 is divided by 47?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(64)*2))**2 + 6*2*sqrt(2) + (sqrt(1152))**2.\nAnswer: 12*sqrt(2) + 36865\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4 = -3*c. Let q be c\/6 - 32\/(-3). What is the units digit of (2\/3)\/(q\/105)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -22. Suppose -2*b - 2*k - q = 0, 0 = -b + 2*k - k - 7. Let p = -3 - b. Solve 2*m = -2 - p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 27836*c + 111202. What is o(-4)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7357.26 nanometers to meters.\nAnswer: 0.00000735726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3659832\/5 + 727887. Let o = s + 4099. Suppose -28\/5*q + 2\/5*q**2 + o = 0. Calculate q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s**4\/8 - 195*s**3\/2 + 2747*s**2\/4 - 851*s\/2 + 553\/8 = 0 for s.\nAnswer: 1\/3, 7, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Let b(f) = f + 6*f - 7 - l*f - 4*f. Let x be b(12). Solve 0 = -0*z - 4*z, -v + z = -x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 1. Let h(s) = s**2 - 38*s + 119. Let q be h(34). Let o(w) = -w + 1. Let u(y) = 4*y + 5. Let l(z) = -2*o(z) + u(z). What is q*m(t) - 6*l(t)?\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19705649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491831 a multiple of 833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 24258938?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(512)*-2 - sqrt(24)\/(sqrt(12)\/sqrt(4)))*4)\/(-4*(sqrt(32)\/(sqrt(8)*4) - sqrt(4))*-4).\nAnswer: 17*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 228*w**2 - 927*w + 60 = 0.\nAnswer: 5\/76, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-9) + (-166)\/12. Let b = 15 + g. Let h = 0.05 - 0.15. Sort b, h, 1 in increasing order.\nAnswer: h, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-1))\/((-4)\/(-78)). Let d(u) = u**3 - 16*u**2 + 28*u + 13. Let r be d(14). Calculate the highest common factor of r and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176929004 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**2 - 28*p + 69. Let z(u) = -2*u**2 - 14*u + 35. Let c(g) = 3*k(g) - 5*z(g). Let r be c(12). Solve 2*h - r = -0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 7*l + 20*l - l - 8*l.\nAnswer: 4*l - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, 1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 88 = 4*r - 0*a, 88 = -5*r - 3*a. Is (-3)\/(15\/r) + 327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9667866 and 858.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)*(((f\/(f**(-13)*f*f*f))\/f)\/f)\/f)**19*(f**(3\/7)*f\/(f\/(f**5*f*f)))**(-36) assuming f is positive.\nAnswer: f**(-1872\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - -c?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 3:17 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16469, -33206, -49943?\nAnswer: -66680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, 4\/3, -1673, 2?\nAnswer: -1673","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 34. Let v be 0 + o + (-30)\/(-6). Calculate the remainder when 26 is divided by (v\/(-8))\/(3\/(-42)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16 - (-5 - (-15 - -13)). Let y(a) be the first derivative of 1\/14*a**4 - 2\/7*a + 2\/21*a**3 - 1\/7*a**2 + v. What is n in y(n) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/4107942 and 50?\nAnswer: 4107942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 80258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -51\/4, -20\/3, 0.4 in decreasing order.\nAnswer: 0.4, -20\/3, -51\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**3 + 14898557*r**2 - 1044*r + 45252 wrt r.\nAnswer: -12*r + 29797114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 302\/20 + 10\/(-100). Let t(g) = g**3 - 13*g**2 - 29*g - 12. Let q be t(a). Sort q, -5, 12 in increasing order.\nAnswer: -5, q, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9849.777 millimeters?\nAnswer: 9849777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.529106nm?\nAnswer: 0.0000004529106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -70. Suppose k*f - 6*f = -30. Which is the fourth smallest value? (a) f (b) -2 (c) 0.1 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*w = 162*w - 3483060. Is 37 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013518532 rounded to six dps?\nAnswer: -0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -876 - 2\nAnswer: -878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/60 - z**4\/6 + 5*z**3\/6 + 3*z**2. Is 17 a factor of i(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 3011 = 58449. What are the prime factors of y?\nAnswer: 2, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/7 - 48\/(-14). Differentiate -4 - 2*z**a + 1 - z**3 - 2 wrt z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 5:27 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 154730*t.\nAnswer: 5*t*(t + 30946)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.136*-0.015736\nAnswer: -0.002140096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 - -90. What is the remainder when v is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 = -2*v, 3 + 2 = 4*q - 3*v. Let k(r) = r**3 + 2*r**2 - r. Let w(n) be the third derivative of -n**5\/60 + n**4\/24 + 5*n**2. What is q*w(x) + k(x)?\nAnswer: x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112)\/(sqrt(4) + -3*sqrt(256)).\nAnswer: -2*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*v - 9*v + 34 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 3. Let o be (6\/(-15))\/(g\/5). Let x be (16\/(-10))\/(-2*o\/20). What is the highest common factor of x and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**3\/6 + 4*t**2 + 5*t. Let s be v(5). Suppose s + 0 = p. Calculate the greatest common divisor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4702650 and -94\/277665?\nAnswer: 813558450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4*0\/(-2). Solve 2*c - 2 + 4 = z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 352, 508, 642, 748, 820, 852?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-1020)\/(-90))\/(((-44)\/(-5952))\/11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 487.46 - 478. Let x = 0.46 - c. Are 0.8 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1631284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d**2 + 4*d - 5. Let b be (1\/4)\/((-7)\/(-56)). Suppose 0 = 5*y + 5*g, -4*y + 10 = -b*g + g. List the prime factors of r(y).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99*d**3*h**3 + d**3*h**2 + 4*d**3 - 6*d*h**3 - 39*h wrt h.\nAnswer: -594*d**3 - 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 341\/91 - 45\/13. Let w(u) = u**3 - 12*u**2 + 16*u - 58. Let c be ((-17)\/(-85))\/((-1)\/(-55)). Let t be w(c). Put t, h, 0.14 in increasing order.\nAnswer: t, 0.14, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of ((-80)\/100)\/((-4)\/330)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Let h be 1*(-5 + w) - -76. Let u = 105 - h. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 - 12032?\nAnswer: -12105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5488, 23, 1, 10 in decreasing order.\nAnswer: 23, 10, 1, -5488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-23)*y*y**(-24)*y*(y**8)**50 assuming y is positive.\nAnswer: y**402","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + j + 19. Let r = 37512 + -37523. Calculate n(r).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 11*s**4\/24 + s**3\/2 - s**2 + 438*s. Let i(l) = -l. Determine 4*i(t) + j(t).\nAnswer: 7*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9127 - 3205. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2982.807 millilitres in litres?\nAnswer: 2.982807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 - 4. Let n = -411 + 415. Let z be -2 + 0 - (-8)\/3. What is the second smallest value in n, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 5*d**2 + 16*d + 11. Let w be i(-7). Let m(n) = 37*n**2 + 8*n - 8. Is m(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1290\/(-65) + (85 - (-15 - -82))?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**4\/4 - 3*o**3 - o**2\/2 - 5*o + 12. Let h be c(-9). Suppose -5*b + 11 = -h. Solve 20 = -4*z, k = -0*z - b*z - 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3581524 divided by -50444?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.28 (b) -2\/11 (c) -2 (d) 3\/10 (e) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - ((-276)\/63 + (-14)\/49). Let p = 0.2 - 0.4. Let j = p + 0.2. Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32691 by 960.\nAnswer: 10897\/320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (6 - 4) + 121. Suppose 131*s - 1791 = j*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 + (-96 - -69) + (5 - -6 - (0 - 2))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*h**5 - 396*h**4 + 77*h**2 + 21*h + 1903762 wrt h?\nAnswer: 2540*h**3 - 4752*h**2 + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15723264, -15723263, -15723262, -15723261, -15723260?\n\"Answer: o - 15723265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 7)*60\/9. Let d = 56 + i. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - (sqrt(192) - (-3 + sqrt(192))))**2*3 + (-6*(0 + sqrt(192)) - sqrt(192)))*1.\nAnswer: -200*sqrt(3) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f (base 16) to base 9.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28614, 28225, 27562, 26619, 25390, 23869?\nAnswer: 22050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 42*g + 39*g = 1013, 5*g + 5 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5944774361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-15) + (96506\/6)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 239.546.\nAnswer: -234.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1727 + -580. Does 37 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*l + l - 56, -b + 40 = l. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -1 + 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 7*b - 4*w + 393, -2*w = -2*b + 150. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11386 and 11490 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.52 (b) 0.047 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 4 + 6 + -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10)\/(-20) - (-1089)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16384*l**5\/7 - 787456*l**4\/7 - 7608000*l**3\/7 + 7598900*l**2\/7 - 2423500*l\/7 + 255000\/7 = 0 for l.\nAnswer: -34, -15, 5\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3244.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 399828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6610949682 to the nearest integer?\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -0*y - 7*y. Let r(f) = -f**2 - 5*f - 2. Let z be r(-3). What is the second derivative of 3*x**2 + z*x - y*x - x wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f - f)*(-3 + 3 - 5*f) - 1396*f**2 + 2419*f + 477*f**2 - 2419*f - 540*f**2.\nAnswer: -1444*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1492*p - 415354. Give y(278).\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 87558*g + 350221. Calculate o(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 443, 675, 923, 1193, 1491, 1823?\nAnswer: 2195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 4*y + 20. Let g(h) = -h**2 - 5*h + 21. Let i(d) = -3*g(d) + 4*z(d). Let c = -2252 + 2252. Calculate i(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwwuuuwwuuuuu. What is prob of picking 1 u and 1 w?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 7) + (20 - 6) + -14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4240)\/53760 + -8 + (-3855)\/(-480).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*h - 1303 - 1334 = -2756, -4*o - 3*h = -97 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/6 - 486365*f**3 + f**2\/2 + 4377286*f\/3 + 972730 = 0.\nAnswer: -2918190, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 5288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -10*n + 2. Let d be a(-1). Let l be (13494\/d)\/(-2 - (-5)\/2). Suppose -91 = -10*o + l. Calculate the remainder when o is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2533 by 178.\nAnswer: -2533\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -880907 - -44?\nAnswer: -880873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9123913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -12. Let i = d + -8.9. Let h = i + 0.8. What is the closest to h in -3\/7, -4, -0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 + -88.049. Round i to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 * 0.06\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sszssssssz. What is prob of sequence sssz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 969071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 8 + h**2 + 9*h + 2*h - 3*h. Let c be v(-8). Let p = c - 3. Which is smaller: 4 or p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14971?\nAnswer: 11, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 + 711 - 728 + 17.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 0*2\/6. Suppose -4*i = 0, -3*i + i - 6 = -j*l. Suppose -l*h + 2 = -1. Let g(c) = 6*c**2 - c + 1. Calculate g(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q - 2. Let x be g(1). Let y be 4 - 3\/15*x. Let l(t) = 2*t + y - 3. Let p(c) = 4*c**2. Give p(l(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 32642858*b**2. Let f(o) = -2*o. What is f(l(k))?\nAnswer: -65285716*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + o + 50 = 5*o, 0 = -u + 2*o + 50. Let z = -53 + u. Let s(d) = -d**3 - 2*d**2 - 2*d + 1. What is the smallest common multiple of s(z) and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354 = -83*v + 105 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1720*w**2 - 1719*w**2 + 175*w**3 + 80*w - 77*w + 4*w**4 to the form m*w + f*w**3 + z*w**4 + q + j*w**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 - 1375 = -132*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-271)\/(-13) - 66\/(-429). What is the highest common factor of 175 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 1\/6*a**4 - 4*a**2 + a**3 + 0*a + 0. Does 14 divide q(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0363 + -360.9637. Let v = x + 362.59. Which is the second smallest value? (a) v (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o + 6 - 6)*(2*o + 2*o - 6*o) + (-32*o + 19*o + 30*o)*(-o + 0*o + 2*o).\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1689424 and 74\/8961.\nAnswer: 522032016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*q - 36 + 16*q**3 - 16*q**3 - 8*q**3 - q**2 + 35 - 23*q**3 as w*q**3 + j + i*q + p*q**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4895020 divided by -1\nAnswer: 4895020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 33*h**5\/40 - 11*h**4\/3 + 49*h**3\/3 + 20. Let y(k) be the third derivative of t(k). What is the derivative of y(i) wrt i?\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 7, 328.3, 2\/23, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 4:32 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -540*p**2 + 99*p - 99. Let f(m) = -11*m**2 + 2*m - 2. Let h(o) = -6*c(o) + 297*f(o). Let g(d) = -d**2. What is h(g(w))?\nAnswer: -27*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2873, -3284, -4621, -7346, -11921, -18808?\nAnswer: -28469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -782 - 3?\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 42*w**2 - 44*w - 93. Calculate the least common multiple of v(-41) and 153.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 q when four letters picked without replacement from hhqqhhhhqhq.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -12*c + 86. Let v be z(7). Solve v*s = -12*s - 42 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 1 + 5. Let y(k) = 2*k**2 - 4*k + 3. Does 2 divide y(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p - 8035 + 8341 = 9*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v + 3*v + (-3 + 2 - 1)*(2 - 2 - 2*v) + 2*v - 2 + 2)*(5*v**3 - 2*v**3 + 0*v**3).\nAnswer: 21*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*c - 679*c - 120 - 208 + c + 51*c.\nAnswer: -748*c - 328","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36 + 3949\/110 - (-4758)\/46480 and 1\/14.\nAnswer: 4648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1119300000 = -4*l + 25*l. What is l rounded to the nearest one million?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*v = 132. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -35. Suppose 14*p - 4*p - 100 = i. Suppose -9*h**2 - 3*h**2 + 8*h - 9*h**4 + 7*h**4 + 16 - p*h**3 = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*n + 294 + 165*n - 148 - 146 - 80*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6 + (-40)\/(-15). Suppose -8 = -z - 2*r, -v*z = -7*z + 4*r + 12. Let k = 0 + 0.1. Which is the closest to k? (a) -2\/11 (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*s + 16, 5*r - 8 = 4*r - s. Suppose 9 = -j + 2*x, 0*x - x = r*j. Let y = -0.4 - -0.7. Which is the third biggest value? (a) y (b) -1\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3732647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from {y: 3, a: 2, j: 6, h: 1}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*q**2 + q**3 - 16*q**2 - 2 + 5*q**4 - q + 3 + 1 in the form t*q**4 + l*q**2 + h*q**3 + z*q + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2999*d**2 - 1364*d**2 - 254*d**2.\nAnswer: 1381*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 0*k - k + 29*k**3.\nAnswer: 29*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g - 47. Let t be q(-11). Let i(u) = u**2 + u - 4. Let n(y) = -y + 3. Determine t*n(o) - 2*i(o).\nAnswer: -2*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.9, -4, 4 in ascending order.\nAnswer: -4, -3.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -468684230*k*s**2 + 166600831*s**2 wrt k?\nAnswer: -468684230*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3185600 and 110.\nAnswer: 3185600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-9)\/2)\/3*(14792120\/(-15))\/49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-4)*59\/(-531).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 847774747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 69678185 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 921576 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/471, -2\/291, -5 in decreasing order.\nAnswer: 5\/471, -2\/291, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - w = -6. Solve -2*t + 11 = w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 196927310 minus 5.1?\nAnswer: 196927304.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6454 or 5490?\nAnswer: 5490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.14, -355\/28, -12\/13?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -84462\/24629?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -1051?\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -299175*j**2 - 17*j - 12. Let a be q(-11). What is a rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -21*m - 6. Let g be x(-1). Let a be ((-2 - g) + 2)*126180000\/27. Round a to the nearest one million.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -13200232011?\nAnswer: 13200232013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -536 + 561. Calculate the lowest common multiple of v and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48211811 is divided by 24105904?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7))**(-2\/27)\/(a*a**2)**(-6\/11))\/((a*a**(1\/2))**(-35)\/(a**(1\/3)*a*a*a**2)) assuming a is positive.\nAnswer: a**(243205\/4158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 + -44. Let l = d - -30. Let k be 1 - (306\/l + -3). Which is greater: k or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*a - 31*a + 700. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 437 + -439. What is the nearest to a in 0.3, 2\/15, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -336, -918, -1782, -2946, -4428, -6246, -8418?\nAnswer: -10962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2758152.1 minus 0.5?\nAnswer: 2758151.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -42224 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 10 = 0, 18 = -4*f + u + 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2. Let r(j) = 3*j**2 - 9*j - 2. Let h(t) = 4*i(t) + r(t). Suppose -3*s + 14 = -5*s. What is the units digit of h(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 44 = 120. Let r(c) = -c**2 - 26*c + 26. Is r(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/22 and -1 + (15\/20 - 70\/16).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r - 1 + 3*r - 6*r**2 + 7*r**2 - r. Let g(c) = 2*c**2 - 2*c. Let s(q) = 4*g(q) - 5*t(q). Calculate the remainder when 19 is divided by s(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6.117668 micrometers?\nAnswer: 0.000006117668","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 4\/363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6545654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 3*i - 5*i - 112*o + 110*o, 13 = -3*i + o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -1\/3, -46.3.\nAnswer: -46.3, -3, -1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**5\/20 - 3*k**4\/4 - 5*k**3\/2 + 4*k**2 + 13*k. Suppose 0 = -x - x + 22. Is u(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -280 - 8*t + 8*t + 8*t - 6*t + 11*t. What is the smallest common multiple of 10 and x(25)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y. Let a(x) = -x**2 + 2*x. Let i(t) = -t. Let w(d) = 3*d. Let k = 3 + 4. Let m(g) = k*i(g) + 2*w(g). Let v(b) = -a(b) - 2*m(b). Calculate v(r(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11234 and 548?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -94. Calculate the smallest common multiple of ((-12)\/(-2) + -4)*7 and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q + 233. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*l - 8, 8*z - 6*z + 7*l = -14. Solve -6*n - 10*n = z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 2)*(1 - 0). Suppose j*k = k - 3, 2*k + 28 = f. Suppose 5*p - 32 = 68. What is the least common multiple of p and f?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 230 - 2068\/9. What is the smallest value in a, 1\/4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -1069, 1, -4, 2 in decreasing order.\nAnswer: 6, 2, 1, 0, -4, -1069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 97619*u + 48822*u - 13 + 3 + 48797*u - 11*u**3.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169 + -167. Let s = 119\/15 - 25\/3. What is the closest to -0.2 in i, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344022?\nAnswer: 2, 3, 7, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98563, 197130, 295697, 394264?\nAnswer: 492831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46156258235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -444323*b + 6664854. Give h(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1609.66397 - -86.\nAnswer: 1695.66397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 900756.\nAnswer: 8106804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j + 4*j + 10*j - 4*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + 0 + -2 - (-13634 + 13689)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3244 and 17842.\nAnswer: 35684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**(-3\/5))\/v)**(1\/19)\/(v*v\/v**(-2\/7))**(37\/5))**(-9))**40 assuming v is positive.\nAnswer: v**(808344\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2044240 is divided by 255526.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s + 2*z + 16 = 25*s, 4 = -5*s + 4*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2968493, 2968525, 2968559, 2968595, 2968633?\n\"Answer: p**2 + 29*p + 2968463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -899, -847, -755, -617, -427, -179, 133?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -6 - 9) + 8 + 8 - -16.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 36. Let h = -12 + x. Let m = -4 + 6. Which is the closest to m? (a) h (b) 2\/9 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/3 + 12\/(-9). Suppose c = 8*x - 7*x. Suppose x*l = -32 + 242. Calculate the highest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 3*b, 15 = -4*b + 4*c - 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 14 = 5*l + 1, -4*l = -8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 1932 + 1526 = 0. Let f(z) = -5*z**3 - 2*z**2 + z - 4. What is the remainder when f(-3) is divided by r?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0*w + 0 - 8*w**2 + 7\/6*w**3 + 1\/24*w**4. Determine o(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 5 (b) 1\/3 (c) 11\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.73 - -0.27. What is the second biggest value in d, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59219 or 2.9?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 491374 in increasing order.\nAnswer: -5, -4, 491374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(325\/2)*17*12\/204?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 76\/20 + (-2)\/(-10). Find the second derivative of -f**2 + c - 4 - 2*f**2 - 2*f wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 29133 and -4966754662.\nAnswer: -4966725529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005053881732 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138749 is divided by 27572?\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 + -8. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + f**4 + (f + 0*f - 2*f)*(2*f**3 - 5*f**3 + 2*f**3) - 5*f**4 + 3*f**3 - 3*f**3 + (-2*f - 2 + 2)*(-f - 96 + 23*f**3 + 96).\nAnswer: -49*f**4 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 68 - 0?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 7*o**2 - 8*o - 41. Let l(x) = 4*x**2 - 5*x - 20. Let w(d) = -5*l(d) + 3*u(d). What is the second derivative of w(y) wrt y?\nAnswer: -18*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1261*z**2 + 91*z + 91. Let r(v) = -13*v - 2 + 10*v**2 + v + 35*v**2 - 17*v**2 + 10*v. Determine 182*r(k) + 4*x(k).\nAnswer: 52*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*(2 + sqrt(1100)) + -1*(2*sqrt(1100) + sqrt(1100) - sqrt(1100)))*6*4)**2.\nAnswer: 4976640*sqrt(11) + 205618176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.152, 3, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -16. Suppose 0 = -3*j + 2*i + 9 - 1, -2*j - 8 = 2*i. Suppose j = -2*m - 1 + 35. Calculate the remainder when m is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n. Let q(z) = 4*z + 2849199. Determine p(q(v)).\nAnswer: -16*v - 11396796","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 67. Suppose 0 = -2*i + 4*a + 12, 5*i + a - f + 0 = 0. Let c = i + -6. Solve -5*q + 0 = -x + 13, c = -3*q - 2*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 8:11 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d5 + -3?\nAnswer: -3d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12413, 49529, 111383, 197975, 309305, 445373?\nAnswer: 606179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (20\/15)\/(5\/15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a**2 + a. Let i be z(-1). Let d be (-4)\/i - 232\/5. Let l be -3 + d*2\/(-4). Solve -v - 4 - 16 = -5*m, 0 = -m + 5*v - l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 29 = 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -217 + -125338?\nAnswer: -125554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v**3 + 32*v**2 - 164*v - 120 = 0 for v.\nAnswer: -5, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1237, -2\/9, 1\/4, 5, -118 in increasing order.\nAnswer: -118, -2\/9, 1\/4, 5, 1237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -2.\nAnswer: -7, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1342)\/55*(-24)\/8*(-5)\/18.\nAnswer: -61\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25217 + -76720\/3. Let d = b + 360. What is the common denominator of d and 59\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -8 in ascending order.\nAnswer: -8, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34502063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 1, a: 1, k: 2}. Give prob of picking 1 a and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 105 + (0 - (-2 - -1)). Let f be 71*1 + (-59 - -56). Let l = y - f. Calculate the remainder when 110 is divided by l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -9. Suppose -a = -u + 25, i*u - 61 = -a - 5. Let n = u - 27. Solve -20 = -n*p - 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1446 - 1449. What is the fifth smallest value in 5, -1, -119, s, 2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*f**3 - 37*f**3 + 135*f**3 - 30*f**3 - 38*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)*-1 - sqrt(44)) + -4)**2*-6 + (sqrt(99)\/(sqrt(18)\/sqrt(2)) + (1*sqrt(99) + sqrt(99) - sqrt(11)))**2.\nAnswer: -756 - 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a centimeter in micrometers?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -16*f**2 + f - 5. Let w be u(-9). Round w to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 5*p - 31, -2*d - 311049*p = -311045*p + 32 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by -26?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - 82*r**2 + 27*r**2 + 11*r**2 + 23*r**2 to the form b*r**2 + s + t*r and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 482596759?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-707)\/(-7) - 2) + 6. Suppose 8*d - 217 = -x. What is the remainder when 217 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/26016 and 133\/32520?\nAnswer: 130080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i - 18 = 0. Let b = 4 + i. Suppose -2*r + 52 = -0*r. What is the greatest common factor of b and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 160 = -14*a, 53 = 4*k - 5*a - 23 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*n - 37, 6*n = n - i + 25. Which is the third smallest value? (a) n (b) -7 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 17. Calculate the greatest common divisor of 34 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 + 22*g**2 + 26*g - 4. Let s be b(11). Calculate the greatest common divisor of s and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/21)\/(a\/a**(9\/7)) assuming a is positive.\nAnswer: a**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by 36.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 6*o - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.25 - 2.17. Let m = r - 0.48. Let k = -2 + 3. Are k and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.24314169 and 2.96?\nAnswer: 3.20314169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**4\/24 - 41*c**3\/3 + 3*c**2. Let r be z(0). Let a = -19 - r. What is the greatest common factor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -4, -1623, 5 in decreasing order.\nAnswer: 5, 2, 0, -4, -1623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7206744 (base 10) to base 11.\nAnswer: -4082596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3))**(3\/4)\/(n\/(n*n*n*n**3)*n**(-1\/3)) assuming n is positive.\nAnswer: n**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*n - 15 - 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 16) + (-4 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from {v: 13, x: 3, p: 1, y: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(2\/(-112)) + 31 + -30 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-12)\/63 - 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172818360 by -3730.\nAnswer: 46332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-42) - 45\/(-54)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 1277340.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82071497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33419 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-0.47.\nAnswer: -0.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-2)\/(-1)) - -5. Suppose 2*f = 3*l - 48, -2*f - 80 = -5*l - r*f. What is the least common multiple of l and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*5\/(20\/(-712)). Suppose 34 = -4*y + n. Calculate the highest common factor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1992, 2011, 2030?\n\"Answer: 19*z + 1973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -12498*y + 36. Let r be t(-18). Round r to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (164 - (-17 + 1))*(-2)\/(-8) - -2. Solve c - 4*l = 2, 3*l - a = -2*c - 54 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1786948696874136.9000033 - 1786948578008436. Let b = z + -118865693. Let t = b - 7.9. What is t rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 98?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 119, -0.2, 24, 0.11, 1\/3, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -211 divided by -1.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1012 - 928*m**2 - 1120*m**2 - 1513*m**2 + 1092*m**2 + 33 wrt m?\nAnswer: -4938*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20406274 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1)*(-3 - 3 + 4) - 2 - 3 + 3 + (-1 - 3 + 5)*(3 + 2 + 1) + 107 - 56 - 23)*(w**5 - 4*w**5 + 8*w**5).\nAnswer: 150*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-1482002)\/(-42220))\/(6\/5))\/5. Let p = -5934053\/101328 + 937\/16. Let y = p + x. What is the common denominator of 101\/10 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 265*u**2. Let n(q) = q. Calculate n(o(z)).\nAnswer: 265*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:03 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 74524508.5 rounded to the nearest 1000000?\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -21. Let f be ((-4)\/3 + 0)*30. Let z be f\/19 - (-5 - -3). Is z equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -178433\/216153 + 1\/10293. Calculate the common denominator of k and 115\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.041, 2\/9, 3, -99, -20, -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**4\/8 - 2*r**2 + 3*r. Let x(j) = -3 + 72*j**2 + 1 - 86*j**2 + 2. Calculate w(x(m)).\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 j when four letters picked without replacement from {n: 2, j: 2}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 - 1.8. Let f = 0.3 + -1.3. What is the third smallest value in -2, f, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*2\/(-80))\/(5\/(-25))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 845027, 2\/9 in decreasing order.\nAnswer: 845027, 5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {z: 9, e: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59766 less than 59743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/18)\/(4\/9). Which is the closest to -3? (a) 1\/4 (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3 = 0, -17*p - 36 = -0*i + 3*i + 137 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 1\/2*j**2 + 0 + j + 1\/2*j**3 + 1\/12*j**4. Let z(k) = 5*k**2 + 11*k + 3. Let o(f) = -9*g(f) + 2*z(f). Determine o(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 5)*(3 - 3 - 2*y) + 3*y - 4*y + 2*y + (-y - y + 4*y)*(-6 + 2 + 2) + 2*y + 2*y - 5*y + 3 + 2*y - 3 in the form d*y + z and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35838186, -71676387, -107514588, -143352789, -179190990?\n\"Answer: -35838201*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120320 - -10?\nAnswer: 120330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 2, 5, 503, -4, 595?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1170*h + 2. Let z be i(1). Let v = 421 - z. Let g be (v + 1)*(-164400)\/(-9). What is g rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -222*s**2 + 3816*s**2 + 985*s**2 to the form w*s**2 + h + k*s and give w.\nAnswer: 4579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 585 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 6*p + 4. Let h be k(-7). Let x = 34 + h. Let v = x - 27. Is 1 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 136\/102*(-6)\/(-32). Factor -1\/4*h**2 + r*h**3 + 0 - 1\/2*h.\nAnswer: h*(h - 2)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7636703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 264 - 1504. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6 = -2. Suppose 460000 = z + 2*d, -5*z = -b*z + 2*d - 1380000. What is z rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31919 + -31917. Put b, 2\/3, -5, -49 in descending order.\nAnswer: b, 2\/3, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}